%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COM204^1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 07:46:27 AM UTC 2026
% Result : Theorem 2.27s 0.71s
% Output : Refutation 2.27s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM204^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n014.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Tue Sep 29 17:51:30 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running higher-order theorem proving
% 0.21/0.28 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.63/0.46 % (2990155)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.63/0.46 % (2990163)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=1425297325:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.63/0.46 % (2990166)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.63/0.46 % (2990166)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.63/0.46 % (2990160)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=594782040:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.63/0.46 % (2990162)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=297986676:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.63/0.46 % (2990164)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=885855951:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.63/0.46 % (2990165)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2909742644:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.63/0.46 % (2990166)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=2523206780:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.63/0.46 % (2990162)Instruction limit reached!
% 0.63/0.46 % (2990162)------------------------------
% 0.63/0.46 % (2990162)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.46 % (2990162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.46 % (2990162)CaDiCaL version: 2.1.3
% 0.63/0.46 % (2990162)Termination reason: Instruction limit
% 0.63/0.46 % (2990162)Termination phase: shuffling
% 0.63/0.46 % (2990162)Time elapsed: 0.004 s
% 0.63/0.46 % (2990162)Peak memory usage: 10 MB
% 0.63/0.46 % (2990162)Instructions burned: 6 (million)
% 0.63/0.46 % (2990164)Instruction limit reached!
% 0.63/0.46 % (2990164)------------------------------
% 0.63/0.46 % (2990164)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.46 % (2990164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.46 % (2990164)CaDiCaL version: 2.1.3
% 0.63/0.46 % (2990164)Termination reason: Instruction limit
% 0.63/0.46 % (2990164)Termination phase: Property scanning
% 0.63/0.46 % (2990164)Time elapsed: 0.012 s
% 0.63/0.46 % (2990164)Peak memory usage: 10 MB
% 0.63/0.46 % (2990164)Instructions burned: 24 (million)
% 0.63/0.46 % (2990161)lrs+10_16_si=on:nwc=1.5:random_seed=1741254193:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.63/0.46 % (2990173)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=163166418:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.63/0.46 % (2990173)Instruction limit reached!
% 0.63/0.46 % (2990173)------------------------------
% 0.63/0.46 % (2990173)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.46 % (2990173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.46 % (2990173)CaDiCaL version: 2.1.3
% 0.63/0.46 % (2990173)Termination reason: Instruction limit
% 0.63/0.46 % (2990173)Termination phase: shuffling
% 0.63/0.46 % (2990173)Time elapsed: 0.003 s
% 0.63/0.46 % (2990173)Peak memory usage: 10 MB
% 0.63/0.46 % (2990173)Instructions burned: 4 (million)
% 0.63/0.46 % (2990174)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1183140761:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.63/0.46 % (2990174)Instruction limit reached!
% 0.63/0.46 % (2990174)------------------------------
% 0.63/0.46 % (2990174)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.46 % (2990174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.46 % (2990174)CaDiCaL version: 2.1.3
% 0.63/0.46 % (2990174)Termination reason: Instruction limit
% 0.63/0.46 % (2990174)Termination phase: shuffling
% 0.63/0.46 % (2990174)Time elapsed: 0.004 s
% 0.63/0.46 % (2990174)Peak memory usage: 10 MB
% 0.63/0.46 % (2990174)Instructions burned: 7 (million)
% 1.26/0.50 % (2990161)Instruction limit reached!
% 1.26/0.50 % (2990161)------------------------------
% 1.26/0.50 % (2990161)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.50 % (2990161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.50 % (2990161)CaDiCaL version: 2.1.3
% 1.26/0.50 % (2990161)Termination reason: Instruction limit
% 1.26/0.50 % (2990161)Termination phase: shuffling
% 1.26/0.50 % (2990161)Time elapsed: 0.020 s
% 1.26/0.50 % (2990161)Peak memory usage: 10 MB
% 1.26/0.50 % (2990161)Instructions burned: 18 (million)
% 1.26/0.50 % (2990165)Instruction limit reached!
% 1.26/0.50 % (2990165)------------------------------
% 1.26/0.50 % (2990165)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.50 % (2990165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.50 % (2990165)CaDiCaL version: 2.1.3
% 1.26/0.50 % (2990165)Termination reason: Instruction limit
% 1.26/0.50 % (2990165)Termination phase: Property scanning
% 1.26/0.50 % (2990165)Time elapsed: 0.039 s
% 1.26/0.50 % (2990165)Peak memory usage: 12 MB
% 1.26/0.50 % (2990165)Instructions burned: 76 (million)
% 1.26/0.50 % (2990177)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.26/0.50 % (2990160)Instruction limit reached!
% 1.26/0.50 % (2990160)------------------------------
% 1.26/0.50 % (2990160)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.50 % (2990160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.50 % (2990160)CaDiCaL version: 2.1.3
% 1.26/0.50 % (2990160)Termination reason: Instruction limit
% 1.26/0.50 % (2990160)Termination phase: Function definition elimination
% 1.26/0.50 % (2990160)Time elapsed: 0.044 s
% 1.26/0.50 % (2990160)Peak memory usage: 12 MB
% 1.26/0.50 % (2990160)Instructions burned: 87 (million)
% 1.26/0.50 % (2990177)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3696944558:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.26/0.50 % (2990177)Instruction limit reached!
% 1.26/0.50 % (2990177)------------------------------
% 1.26/0.50 % (2990177)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.50 % (2990177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.50 % (2990177)CaDiCaL version: 2.1.3
% 1.26/0.50 % (2990177)Termination reason: Instruction limit
% 1.26/0.50 % (2990177)Termination phase: shuffling
% 1.26/0.50 % (2990177)Time elapsed: 0.004 s
% 1.26/0.50 % (2990177)Peak memory usage: 10 MB
% 1.26/0.50 % (2990177)Instructions burned: 7 (million)
% 1.26/0.50 % (2990181)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=770700472:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.26/0.50 % (2990182)lrs+10_1_si=on:cs=on:random_seed=2121108952:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.26/0.50 % (2990184)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.26/0.50 % (2990182)Instruction limit reached!
% 1.26/0.50 % (2990182)------------------------------
% 1.26/0.50 % (2990182)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.50 % (2990182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.50 % (2990182)CaDiCaL version: 2.1.3
% 1.26/0.50 % (2990182)Termination reason: Instruction limit
% 1.26/0.50 % (2990182)Termination phase: shuffling
% 1.26/0.50 % (2990182)Time elapsed: 0.005 s
% 1.26/0.50 % (2990182)Peak memory usage: 10 MB
% 1.26/0.50 % (2990182)Instructions burned: 10 (million)
% 1.26/0.50 % (2990184)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=103802925:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.26/0.50 % (2990179)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2482825428:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.26/0.50 % (2990180)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.26/0.50 % (2990180)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.26/0.53 % (2990184)Instruction limit reached!
% 1.26/0.53 % (2990184)------------------------------
% 1.26/0.53 % (2990184)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.53 % (2990184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.53 % (2990184)CaDiCaL version: 2.1.3
% 1.26/0.53 % (2990184)Termination reason: Instruction limit
% 1.26/0.53 % (2990184)Termination phase: shuffling
% 1.26/0.53 % (2990184)Time elapsed: 0.003 s
% 1.26/0.53 % (2990184)Peak memory usage: 10 MB
% 1.26/0.53 % (2990184)Instructions burned: 5 (million)
% 1.26/0.53 % (2990180)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=4001309794:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.26/0.53 % (2990166)Instruction limit reached!
% 1.26/0.53 % (2990166)------------------------------
% 1.26/0.53 % (2990166)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.53 % (2990166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.53 % (2990166)CaDiCaL version: 2.1.3
% 1.26/0.53 % (2990166)Termination reason: Instruction limit
% 1.26/0.53 % (2990166)Termination phase: Saturation
% 1.26/0.53 % (2990166)Time elapsed: 0.082 s
% 1.26/0.53 % (2990166)Peak memory usage: 14 MB
% 1.26/0.53 % (2990166)Instructions burned: 159 (million)
% 1.26/0.53 % (2990179)Instruction limit reached!
% 1.26/0.53 % (2990179)------------------------------
% 1.26/0.53 % (2990179)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.53 % (2990179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.53 % (2990179)CaDiCaL version: 2.1.3
% 1.26/0.53 % (2990179)Termination reason: Instruction limit
% 1.26/0.53 % (2990179)Termination phase: shuffling
% 1.26/0.53 % (2990179)Time elapsed: 0.014 s
% 1.26/0.53 % (2990179)Peak memory usage: 10 MB
% 1.26/0.53 % (2990179)Instructions burned: 12 (million)
% 1.26/0.53 % (2990187)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1923245546:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.26/0.53 % (2990180)Instruction limit reached!
% 1.26/0.53 % (2990180)------------------------------
% 1.26/0.53 % (2990180)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.53 % (2990180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.53 % (2990180)CaDiCaL version: 2.1.3
% 1.26/0.53 % (2990180)Termination reason: Instruction limit
% 1.26/0.53 % (2990180)Termination phase: shuffling
% 1.26/0.53 % (2990180)Time elapsed: 0.013 s
% 1.26/0.53 % (2990180)Peak memory usage: 10 MB
% 1.26/0.53 % (2990180)Instructions burned: 28 (million)
% 1.26/0.53 % (2990190)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1089627783:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.26/0.53 % (2990181)Instruction limit reached!
% 1.26/0.53 % (2990181)------------------------------
% 1.26/0.53 % (2990181)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.53 % (2990181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.53 % (2990181)CaDiCaL version: 2.1.3
% 1.26/0.53 % (2990181)Termination reason: Instruction limit
% 1.26/0.53 % (2990181)Termination phase: Preprocessing 1
% 1.26/0.53 % (2990181)Time elapsed: 0.039 s
% 1.26/0.53 % (2990181)Peak memory usage: 11 MB
% 1.26/0.53 % (2990181)Instructions burned: 87 (million)
% 1.26/0.53 % (2990192)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2345710806:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.26/0.53 % (2990193)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1600554856:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.26/0.53 % (2990187)Instruction limit reached!
% 1.26/0.53 % (2990187)------------------------------
% 1.26/0.53 % (2990187)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.53 % (2990187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.53 % (2990187)CaDiCaL version: 2.1.3
% 1.26/0.53 % (2990187)Termination reason: Instruction limit
% 1.26/0.53 % (2990187)Termination phase: Preprocessing 1
% 1.83/0.61 % (2990187)Time elapsed: 0.020 s
% 1.83/0.61 % (2990187)Peak memory usage: 11 MB
% 1.83/0.61 % (2990187)Instructions burned: 39 (million)
% 1.83/0.61 % (2990195)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3486679755:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.83/0.61 % (2990193)Instruction limit reached!
% 1.83/0.61 % (2990193)------------------------------
% 1.83/0.61 % (2990193)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.61 % (2990193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.61 % (2990193)CaDiCaL version: 2.1.3
% 1.83/0.61 % (2990193)Termination reason: Instruction limit
% 1.83/0.61 % (2990193)Termination phase: shuffling
% 1.83/0.61 % (2990193)Time elapsed: 0.008 s
% 1.83/0.61 % (2990193)Peak memory usage: 10 MB
% 1.83/0.61 % (2990193)Instructions burned: 15 (million)
% 1.83/0.61 % (2990192)Instruction limit reached!
% 1.83/0.61 % (2990192)------------------------------
% 1.83/0.61 % (2990192)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.61 % (2990192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.61 % (2990192)CaDiCaL version: 2.1.3
% 1.83/0.61 % (2990192)Termination reason: Instruction limit
% 1.83/0.61 % (2990192)Termination phase: Property scanning
% 1.83/0.61 % (2990192)Time elapsed: 0.013 s
% 1.83/0.61 % (2990192)Peak memory usage: 10 MB
% 1.83/0.61 % (2990192)Instructions burned: 27 (million)
% 1.83/0.61 % (2990197)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2817772018:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.83/0.61 % (2990197)Instruction limit reached!
% 1.83/0.61 % (2990197)------------------------------
% 1.83/0.61 % (2990197)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.61 % (2990197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.61 % (2990197)CaDiCaL version: 2.1.3
% 1.83/0.61 % (2990197)Termination reason: Instruction limit
% 1.83/0.61 % (2990197)Termination phase: shuffling
% 1.83/0.61 % (2990197)Time elapsed: 0.008 s
% 1.83/0.61 % (2990197)Peak memory usage: 10 MB
% 1.83/0.61 % (2990197)Instructions burned: 16 (million)
% 1.83/0.61 % (2990203)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3272930789:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.83/0.61 % (2990201)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1449050764:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.83/0.61 % (2990201)Instruction limit reached!
% 1.83/0.61 % (2990201)------------------------------
% 1.83/0.61 % (2990201)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.61 % (2990201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.61 % (2990201)CaDiCaL version: 2.1.3
% 1.83/0.61 % (2990201)Termination reason: Instruction limit
% 1.83/0.61 % (2990201)Termination phase: shuffling
% 1.83/0.61 % (2990201)Time elapsed: 0.002 s
% 1.83/0.61 % (2990201)Peak memory usage: 10 MB
% 1.83/0.61 % (2990201)Instructions burned: 2 (million)
% 1.83/0.61 % (2990205)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1456973142:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.83/0.61 % (2990202)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=668555809:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.83/0.61 % (2990203)Instruction limit reached!
% 1.83/0.61 % (2990203)------------------------------
% 1.83/0.61 % (2990203)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.61 % (2990203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.61 % (2990203)CaDiCaL version: 2.1.3
% 1.83/0.61 % (2990203)Termination reason: Instruction limit
% 1.83/0.61 % (2990203)Termination phase: Property scanning
% 1.83/0.61 % (2990203)Time elapsed: 0.012 s
% 1.83/0.61 % (2990203)Peak memory usage: 10 MB
% 1.83/0.61 % (2990203)Instructions burned: 24 (million)
% 1.83/0.61 % (2990163)Instruction limit reached!
% 1.83/0.61 % (2990163)------------------------------
% 1.83/0.61 % (2990163)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.61 % (2990163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.67 % (2990163)CaDiCaL version: 2.1.3
% 1.94/0.67 % (2990163)Termination reason: Instruction limit
% 1.94/0.67 % (2990163)Termination phase: Saturation
% 1.94/0.67 % (2990163)Time elapsed: 0.162 s
% 1.94/0.67 % (2990163)Peak memory usage: 16 MB
% 1.94/0.67 % (2990163)Instructions burned: 636 (million)
% 1.94/0.67 % (2990208)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.94/0.67 % (2990208)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.94/0.67 % (2990208)ott+21_1_to=kbo:sil=128000:cnfonf=lazy_gen:bsd=on:si=on:sp=const_frequency:lma=off:uwa=off:foolp=on:s2agt=10:lwlo=on:random_seed=4147071733:i=14:add=off:nm=40:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 1.94/0.67 % (2990202)Instruction limit reached!
% 1.94/0.67 % (2990202)------------------------------
% 1.94/0.67 % (2990202)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.67 % (2990202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.67 % (2990202)CaDiCaL version: 2.1.3
% 1.94/0.67 % (2990202)Termination reason: Instruction limit
% 1.94/0.67 % (2990202)Termination phase: shuffling
% 1.94/0.67 % (2990202)Time elapsed: 0.017 s
% 1.94/0.67 % (2990202)Peak memory usage: 10 MB
% 1.94/0.67 % (2990202)Instructions burned: 27 (million)
% 1.94/0.67 % (2990211)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.94/0.67 % (2990212)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=4024169776:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2997 on theBenchmark for (2997ds/31Mi)
% 1.94/0.67 % (2990211)lrs+1010_4:1_slsqr=8,1:to=kbo:cha=on:drc=off:si=on:sp=arity:lcm=predicate:uwa=off:fd=preordered:gs=on:nwc=5:s2agt=32:slsqc=1:kmz=on:updr=off:chr=on:pe=on:slsq=on:random_seed=3009691414:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2997 on theBenchmark for (2997ds/8Mi)
% 1.94/0.67 % (2990208)Instruction limit reached!
% 1.94/0.67 % (2990208)------------------------------
% 1.94/0.67 % (2990208)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.67 % (2990208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.67 % (2990208)CaDiCaL version: 2.1.3
% 1.94/0.67 % (2990208)Termination reason: Instruction limit
% 1.94/0.67 % (2990208)Termination phase: shuffling
% 1.94/0.67 % (2990208)Time elapsed: 0.007 s
% 1.94/0.67 % (2990208)Peak memory usage: 10 MB
% 1.94/0.67 % (2990208)Instructions burned: 14 (million)
% 1.94/0.67 % (2990211)Instruction limit reached!
% 1.94/0.67 % (2990211)------------------------------
% 1.94/0.67 % (2990211)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.67 % (2990211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.67 % (2990211)CaDiCaL version: 2.1.3
% 1.94/0.67 % (2990211)Termination reason: Instruction limit
% 1.94/0.67 % (2990211)Termination phase: shuffling
% 1.94/0.67 % (2990211)Time elapsed: 0.005 s
% 1.94/0.67 % (2990211)Peak memory usage: 10 MB
% 1.94/0.67 % (2990211)Instructions burned: 9 (million)
% 1.94/0.67 % (2990212)Instruction limit reached!
% 1.94/0.67 % (2990212)------------------------------
% 1.94/0.67 % (2990212)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.67 % (2990212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.67 % (2990212)CaDiCaL version: 2.1.3
% 1.94/0.67 % (2990212)Termination reason: Instruction limit
% 1.94/0.67 % (2990212)Termination phase: shuffling
% 1.94/0.67 % (2990212)Time elapsed: 0.008 s
% 1.94/0.67 % (2990212)Peak memory usage: 11 MB
% 1.94/0.67 % (2990212)Instructions burned: 32 (million)
% 1.94/0.67 % (2990205)Instruction limit reached!
% 1.94/0.67 % (2990205)------------------------------
% 1.94/0.67 % (2990205)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.67 % (2990205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.67 % (2990205)CaDiCaL version: 2.1.3
% 1.94/0.67 % (2990205)Termination reason: Instruction limit
% 1.94/0.67 % (2990205)Termination phase: Property scanning
% 1.94/0.67 % (2990205)Time elapsed: 0.031 s
% 1.94/0.67 % (2990205)Peak memory usage: 12 MB
% 1.94/0.67 % (2990205)Instructions burned: 61 (million)
% 1.94/0.67 % (2990214)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=911152641:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 2.27/0.71 % (2990219)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2478153153:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.27/0.71 % (2990217)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=3200089547:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.27/0.71 % (2990214)Instruction limit reached!
% 2.27/0.71 % (2990214)------------------------------
% 2.27/0.71 % (2990214)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.27/0.71 % (2990214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/0.71 % (2990214)CaDiCaL version: 2.1.3
% 2.27/0.71 % (2990214)Termination reason: Instruction limit
% 2.27/0.71 % (2990214)Termination phase: shuffling
% 2.27/0.71 % (2990214)Time elapsed: 0.005 s
% 2.27/0.71 % (2990214)Peak memory usage: 10 MB
% 2.27/0.71 % (2990214)Instructions burned: 7 (million)
% 2.27/0.71 % (2990218)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2603596542:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 2.27/0.71 % (2990220)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=4181850939:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.27/0.71 % (2990217)Instruction limit reached!
% 2.27/0.71 % (2990217)------------------------------
% 2.27/0.71 % (2990217)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.27/0.71 % (2990217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/0.71 % (2990217)CaDiCaL version: 2.1.3
% 2.27/0.71 % (2990217)Termination reason: Instruction limit
% 2.27/0.71 % (2990217)Termination phase: shuffling
% 2.27/0.71 % (2990217)Time elapsed: 0.021 s
% 2.27/0.71 % (2990217)Peak memory usage: 10 MB
% 2.27/0.71 % (2990217)Instructions burned: 23 (million)
% 2.27/0.71 % (2990218)Instruction limit reached!
% 2.27/0.71 % (2990218)------------------------------
% 2.27/0.71 % (2990218)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.27/0.71 % (2990218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/0.71 % (2990218)CaDiCaL version: 2.1.3
% 2.27/0.71 % (2990218)Termination reason: Instruction limit
% 2.27/0.71 % (2990218)Termination phase: shuffling
% 2.27/0.71 % (2990218)Time elapsed: 0.019 s
% 2.27/0.71 % (2990218)Peak memory usage: 11 MB
% 2.27/0.71 % (2990218)Instructions burned: 20 (million)
% 2.27/0.71 % (2990224)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=3244165570:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.27/0.71 % (2990190)Instruction limit reached!
% 2.27/0.71 % (2990190)------------------------------
% 2.27/0.71 % (2990190)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.27/0.71 % (2990190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/0.71 % (2990190)CaDiCaL version: 2.1.3
% 2.27/0.71 % (2990190)Termination reason: Instruction limit
% 2.27/0.71 % (2990190)Termination phase: Saturation
% 2.27/0.71 % (2990190)Time elapsed: 0.144 s
% 2.27/0.71 % (2990190)Peak memory usage: 15 MB
% 2.27/0.71 % (2990190)Instructions burned: 249 (million)
% 2.27/0.71 % (2990228)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.27/0.71 % (2990227)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=98635587:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.27/0.71 % (2990228)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3918277888:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.27/0.71 % (2990228)Instruction limit reached!
% 2.27/0.71 % (2990228)------------------------------
% 2.27/0.71 % (2990228)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.27/0.71 % (2990228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/0.71 % (2990228)CaDiCaL version: 2.1.3
% 2.27/0.71 % (2990228)Termination reason: Instruction limit
% 2.27/0.71 % (2990228)Termination phase: shuffling
% 2.27/0.71 % (2990228)Time elapsed: 0.004 s
% 2.27/0.71 % (2990228)Peak memory usage: 10 MB
% 2.27/0.71 % (2990228)Instructions burned: 7 (million)
% 2.27/0.71 % (2990230)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=825237374:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.27/0.71 % (2990227)Instruction limit reached!
% 2.27/0.71 % (2990227)------------------------------
% 2.27/0.71 % (2990227)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.27/0.71 % (2990227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/0.71 % (2990227)CaDiCaL version: 2.1.3
% 2.27/0.71 % (2990227)Termination reason: Instruction limit
% 2.27/0.71 % (2990227)Termination phase: Preprocessing 3
% 2.27/0.71 % (2990227)Time elapsed: 0.021 s
% 2.27/0.71 % (2990227)Peak memory usage: 11 MB
% 2.27/0.71 % (2990227)Instructions burned: 43 (million)
% 2.27/0.71 % (2990233)dis+10_8_sil=128000:plsq=on:plsqc=1:si=on:sp=unary_first:sos=on:lma=off:plsqr=64,1:uwa=interpreted_only:foolp=on:random_seed=3750912467:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2996 on theBenchmark for (2996ds/169Mi)
% 2.27/0.71 % (2990235)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.27/0.71 % (2990235)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=1876441876:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2996 on theBenchmark for (2996ds/6Mi)
% 2.27/0.71 % (2990235)Instruction limit reached!
% 2.27/0.71 % (2990235)------------------------------
% 2.27/0.71 % (2990235)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.27/0.71 % (2990235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/0.71 % (2990235)CaDiCaL version: 2.1.3
% 2.27/0.71 % (2990235)Termination reason: Instruction limit
% 2.27/0.71 % (2990235)Termination phase: shuffling
% 2.27/0.71 % (2990235)Time elapsed: 0.004 s
% 2.27/0.71 % (2990235)Peak memory usage: 10 MB
% 2.27/0.71 % (2990235)Instructions burned: 7 (million)
% 2.27/0.71 % (2990220)Instruction limit reached!
% 2.27/0.71 % (2990220)------------------------------
% 2.27/0.71 % (2990220)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.27/0.71 % (2990220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/0.71 % (2990220)CaDiCaL version: 2.1.3
% 2.27/0.71 % (2990220)Termination reason: Instruction limit
% 2.27/0.71 % (2990220)Termination phase: Saturation
% 2.27/0.71 % (2990220)Time elapsed: 0.088 s
% 2.27/0.71 % (2990220)Peak memory usage: 14 MB
% 2.27/0.71 % (2990220)Instructions burned: 144 (million)
% 2.27/0.71 % (2990195)Instruction limit reached!
% 2.27/0.71 % (2990195)------------------------------
% 2.27/0.71 % (2990195)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.27/0.71 % (2990195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/0.71 % (2990195)CaDiCaL version: 2.1.3
% 2.27/0.71 % (2990195)Termination reason: Instruction limit
% 2.27/0.71 % (2990195)Termination phase: Saturation
% 2.27/0.71 % (2990195)Time elapsed: 0.193 s
% 2.27/0.71 % (2990195)Peak memory usage: 15 MB
% 2.27/0.71 % (2990195)Instructions burned: 327 (million)
% 2.27/0.71 % (2990238)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=4191635332:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2996 on theBenchmark for (2996ds/22Mi)
% 2.27/0.71 % (2990239)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=4189024476:i=19:add=on:rtra=on_2996 on theBenchmark for (2996ds/19Mi)
% 2.27/0.71 % (2990239)Instruction limit reached!
% 2.27/0.71 % (2990239)------------------------------
% 2.27/0.71 % (2990239)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.27/0.71 % (2990239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/0.71 % (2990239)CaDiCaL version: 2.1.3
% 2.27/0.71 % (2990239)Termination reason: Instruction limit
% 2.27/0.71 % (2990239)Termination phase: shuffling
% 2.27/0.71 % (2990239)Time elapsed: 0.009 s
% 2.27/0.71 % (2990239)Peak memory usage: 10 MB
% 2.27/0.71 % (2990239)Instructions burned: 19 (million)
% 2.27/0.71 % (2990238)Instruction limit reached!
% 2.27/0.71 % (2990238)------------------------------
% 2.27/0.71 % (2990238)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.27/0.71 % (2990238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/0.71 % (2990238)CaDiCaL version: 2.1.3
% 2.27/0.71 % (2990238)Termination reason: Instruction limit
% 2.27/0.71 % (2990238)Termination phase: Property scanning
% 2.27/0.71 % (2990238)Time elapsed: 0.012 s
% 2.27/0.71 % (2990238)Peak memory usage: 10 MB
% 2.27/0.71 % (2990238)Instructions burned: 23 (million)
% 2.27/0.71 % (2990242)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=598164035:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/316Mi)
% 2.27/0.71 % (2990243)dis+1004_4:1_slsqr=1,2:to=lpo:plsq=on:fde=unused:e2e=on:si=on:spb=goal_then_units:acc=on:urr=on:uwa=off:fd=preordered:s2agt=16:slsqc=1:slsq=on:random_seed=771274177:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2996 on theBenchmark for (2996ds/853Mi)
% 2.27/0.71 % (2990244)dis+1003_3:4_to=kbo:plsq=on:prc=on:sims=off:e2e=on:si=on:spb=intro:acc=on:urr=on:uwa=off:foolp=on:s2agt=32:slsqc=3:slsq=on:random_seed=1735684636:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2996 on theBenchmark for (2996ds/45Mi)
% 2.27/0.71 % (2990233) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2990155-2990233"...
% 2.27/0.71 % (2990233)...printing done.
% 2.27/0.71 % (2990244)Instruction limit reached!
% 2.27/0.71 % (2990244)------------------------------
% 2.27/0.71 % (2990244)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.27/0.71 % (2990244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/0.71 % (2990244)CaDiCaL version: 2.1.3
% 2.27/0.71 % (2990244)Termination reason: Instruction limit
% 2.27/0.71 % (2990244)Termination phase: SInE selection
% 2.27/0.71 % (2990244)Time elapsed: 0.023 s
% 2.27/0.71 % (2990244)Peak memory usage: 11 MB
% 2.27/0.71 % (2990244)Instructions burned: 46 (million)
% 2.27/0.71 % (2990230)Instruction limit reached!
% 2.27/0.71 % (2990230)------------------------------
% 2.27/0.71 % (2990230)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.27/0.71 % (2990230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/0.71 % (2990230)CaDiCaL version: 2.1.3
% 2.27/0.71 % (2990230)Termination reason: Instruction limit
% 2.27/0.71 % (2990230)Termination phase: Saturation
% 2.27/0.71 % (2990230)Time elapsed: 0.103 s
% 2.27/0.71 % (2990230)Peak memory usage: 15 MB
% 2.27/0.71 % (2990230)Instructions burned: 182 (million)
% 2.27/0.71 % (2990233)Refutation found. Thanks to Tanya!
% 2.27/0.71 % SZS status Theorem for theBenchmark
% 2.27/0.71 % SZS output start Proof for theBenchmark
% 2.27/0.71 thf(type_def_5, type, product_prod: ($tType * $tType) > $tType).
% 2.27/0.71 thf(type_def_6, type, sum_sum: ($tType * $tType) > $tType).
% 2.27/0.71 thf(type_def_7, type, dtree: $tType).
% 2.27/0.71 thf(type_def_8, type, set: $tType > $tType).
% 2.27/0.71 thf(type_def_9, type, t: $tType).
% 2.27/0.71 thf(type_def_10, type, n: $tType).
% 2.27/0.71 thf(type_def_11, type, itself: $tType > $tType).
% 2.27/0.71 thf(type_def_12, type, sTfun: ($tType * $tType) > $tType).
% 2.27/0.71 thf(func_def_0, type, bounded_lattice: !>[X0: $tType]:((itself @ X0 > $o))).
% 2.27/0.71 thf(func_def_1, type, type: !>[X0: $tType]:((itself @ X0 > $o))).
% 2.27/0.71 thf(func_def_2, type, lattice: !>[X0: $tType]:((itself @ X0 > $o))).
% 2.27/0.71 thf(func_def_3, type, semilattice_sup: !>[X0: $tType]:((itself @ X0 > $o))).
% 2.27/0.71 thf(func_def_4, type, bounded_lattice_top: !>[X0: $tType]:((itself @ X0 > $o))).
% 2.27/0.71 thf(func_def_5, type, bNF_Greatest_image2: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ X0 > (X0 > X1) > (X0 > X2) > set @ product_prod @ X1 @ X2))).
% 2.27/0.71 thf(func_def_6, type, cont: (dtree > set @ sum_sum @ t @ dtree)).
% 2.27/0.71 thf(func_def_7, type, unfold: !>[X0: $tType]:(((X0 > n) > (X0 > set @ sum_sum @ t @ X0) > X0 > dtree))).
% 2.27/0.71 thf(func_def_8, type, fun_rp_inv_image: !>[X0: $tType, X1: $tType]:((product_prod @ set @ product_prod @ X0 @ X0 @ set @ product_prod @ X0 @ X0 > (X1 > X0) > product_prod @ set @ product_prod @ X1 @ X1 @ set @ product_prod @ X1 @ X1))).
% 2.27/0.71 thf(func_def_9, type, the: !>[X0: $tType]:(((X0 > $o) > X0))).
% 2.27/0.71 thf(func_def_10, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 2.27/0.71 thf(func_def_11, type, sup_sup: !>[X0: $tType]:((X0 > X0 > X0))).
% 2.27/0.71 thf(func_def_12, type, top_top: !>[X0: $tType]:(X0)).
% 2.27/0.71 thf(func_def_13, type, parall1899940088le_par: (product_prod @ dtree @ dtree > dtree)).
% 2.27/0.71 thf(func_def_14, type, parall1914194347_par_c: (product_prod @ dtree @ dtree > set @ sum_sum @ t @ product_prod @ dtree @ dtree)).
% 2.27/0.71 thf(func_def_15, type, parall1418634510_c_rel: (product_prod @ dtree @ dtree > product_prod @ dtree @ dtree > $o)).
% 2.27/0.71 thf(func_def_16, type, parall1914194362_par_r: (product_prod @ dtree @ dtree > n)).
% 2.27/0.71 thf(func_def_17, type, product_Pair: !>[X0: $tType, X1: $tType]:((X0 > X1 > product_prod @ X0 @ X1))).
% 2.27/0.71 thf(func_def_18, type, product_Sigma: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > set @ X1) > set @ product_prod @ X0 @ X1))).
% 2.27/0.71 thf(func_def_19, type, product_curry: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X0 @ X1 > X2) > X0 > X1 > X2))).
% 2.27/0.71 thf(func_def_20, type, produc2004651681e_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 2.27/0.71 thf(func_def_21, type, product_map_prod: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X1) > (X2 > X3) > product_prod @ X0 @ X2 > product_prod @ X1 @ X3))).
% 2.27/0.71 thf(func_def_22, type, product_rec_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 2.27/0.71 thf(func_def_23, type, product_rec_set_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2 > $o))).
% 2.27/0.71 thf(func_def_24, type, product_case_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 2.27/0.71 thf(func_def_25, type, product_swap: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > product_prod @ X1 @ X0))).
% 2.27/0.71 thf(func_def_26, type, product_product: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X1 > set @ product_prod @ X0 @ X1))).
% 2.27/0.71 thf(func_def_27, type, type2: !>[X0: $tType]:(itself @ X0)).
% 2.27/0.71 thf(func_def_28, type, id: !>[X0: $tType]:(set @ product_prod @ X0 @ X0)).
% 2.27/0.71 thf(func_def_29, type, antisym: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > $o))).
% 2.27/0.71 thf(func_def_30, type, inv_image: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > (X1 > X0) > set @ product_prod @ X1 @ X1))).
% 2.27/0.71 thf(func_def_31, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 2.27/0.71 thf(func_def_32, type, image: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > set @ X1))).
% 2.27/0.71 thf(func_def_33, type, vimage: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X1 > set @ X0))).
% 2.27/0.71 thf(func_def_34, type, sum_Inl: !>[X0: $tType, X1: $tType]:((X0 > sum_sum @ X0 @ X1))).
% 2.27/0.71 thf(func_def_35, type, sum_Inr: !>[X0: $tType, X1: $tType]:((X0 > sum_sum @ X1 @ X0))).
% 2.27/0.71 thf(func_def_36, type, sum_Plus: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X1 > set @ sum_sum @ X0 @ X1))).
% 2.27/0.71 thf(func_def_37, type, sum_Suml: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > sum_sum @ X0 @ X2 > X1))).
% 2.27/0.71 thf(func_def_38, type, sum_Sumr: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > sum_sum @ X2 @ X0 > X1))).
% 2.27/0.71 thf(func_def_39, type, sum_rec_set_sum: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X2 > X1) > sum_sum @ X0 @ X2 > X1 > $o))).
% 2.27/0.71 thf(func_def_40, type, sum_rec_sum: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X2 > X1) > sum_sum @ X0 @ X2 > X1))).
% 2.27/0.71 thf(func_def_41, type, accp: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > $o))).
% 2.27/0.71 thf(func_def_42, type, lex_prod: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ X1 @ X1 > set @ product_prod @ product_prod @ X0 @ X1 @ product_prod @ X0 @ X1))).
% 2.27/0.71 thf(func_def_43, type, same_fst: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X0 > set @ product_prod @ X1 @ X1) > set @ product_prod @ product_prod @ X0 @ X1 @ product_prod @ X0 @ X1))).
% 2.27/0.71 thf(func_def_44, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 2.27/0.71 thf(func_def_45, type, t2: dtree).
% 2.27/0.71 thf(func_def_46, type, tr1: dtree).
% 2.27/0.71 thf(func_def_47, type, tr2: dtree).
% 2.27/0.71 thf(func_def_51, type, db1: !>[X0: $tType]:(X0)).
% 2.27/0.71 thf(func_def_52, type, db0: !>[X0: $tType]:(X0)).
% 2.27/0.71 thf(func_def_53, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 2.27/0.71 thf(func_def_54, type, vOR: ($o > $o > $o)).
% 2.27/0.71 thf(func_def_55, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 2.27/0.71 thf(func_def_56, type, vAND: ($o > $o > $o)).
% 2.27/0.71 thf(func_def_57, type, vIMP: ($o > $o > $o)).
% 2.27/0.71 thf(func_def_58, type, db3: !>[X0: $tType]:(X0)).
% 2.27/0.71 thf(func_def_59, type, db2: !>[X0: $tType]:(X0)).
% 2.27/0.71 thf(func_def_60, type, vNOT: ($o > $o)).
% 2.27/0.71 thf(func_def_61, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 2.27/0.71 thf(func_def_62, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 2.27/0.71 thf(func_def_63, type, db4: !>[X0: $tType]:(X0)).
% 2.27/0.71 thf(func_def_64, type, db5: !>[X0: $tType]:(X0)).
% 2.27/0.71 thf(func_def_65, type, sK0: !>[X0: $tType, X1: $tType]:((sum_sum @ X0 @ X1 > X0))).
% 2.27/0.71 thf(func_def_66, type, sK1: !>[X0: $tType, X1: $tType]:((sum_sum @ X0 @ X1 > X1))).
% 2.27/0.71 thf(func_def_67, type, sK2: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > set @ X1 > (X1 > set @ X0) > X1))).
% 2.27/0.71 thf(func_def_68, type, sK3: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > product_prod @ X0 @ X1 > (X0 > X1 > set @ X2) > X0))).
% 2.27/0.71 thf(func_def_69, type, sK4: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > product_prod @ X0 @ X1 > (X0 > X1 > set @ X2) > X1))).
% 2.27/0.71 thf(func_def_70, type, sK5: !>[X0: $tType, X1: $tType]:((sum_sum @ X1 @ X0 > X1))).
% 2.27/0.71 thf(func_def_71, type, sK6: !>[X0: $tType, X1: $tType]:((sum_sum @ X1 @ X0 > X0))).
% 2.27/0.71 thf(func_def_72, type, sK7: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X2 @ X0 > X1 > (X2 > X0 > set @ X1) > X2))).
% 2.27/0.71 thf(func_def_73, type, sK8: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X2 @ X0 > X1 > (X2 > X0 > set @ X1) > X0))).
% 2.27/0.71 thf(func_def_74, type, sK9: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ product_prod @ X0 @ X1 > $o) > X1))).
% 2.27/0.71 thf(func_def_75, type, sK10: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ product_prod @ X0 @ X1 > $o) > X0))).
% 2.27/0.71 thf(func_def_76, type, sK11: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X2 @ product_prod @ X0 @ X1 > $o) > X2))).
% 2.27/0.71 thf(func_def_77, type, sK12: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > (X1 > X0 > $o) > X0))).
% 2.27/0.71 thf(func_def_78, type, sK13: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > (X1 > X0 > $o) > X1))).
% 2.27/0.71 thf(func_def_79, type, sK14: !>[X0: $tType, X1: $tType]:((set @ X0 > (X1 > $o) > (X0 > X1) > X0))).
% 2.27/0.71 thf(func_def_80, type, sK15: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X1 > X0 > $o) > product_prod @ X2 @ X1 > X0 > X2))).
% 2.27/0.71 thf(func_def_81, type, sK16: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X1 > X0 > $o) > product_prod @ X2 @ X1 > X0 > X1))).
% 2.27/0.71 thf(func_def_82, type, sK17: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X0 @ product_prod @ X4 @ product_prod @ X1 @ product_prod @ X5 @ product_prod @ X2 @ X3 > $o) > X1))).
% 2.27/0.71 thf(func_def_83, type, sK18: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X0 @ product_prod @ X4 @ product_prod @ X1 @ product_prod @ X5 @ product_prod @ X2 @ X3 > $o) > X2))).
% 2.27/0.71 thf(func_def_84, type, sK19: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X0 @ product_prod @ X4 @ product_prod @ X1 @ product_prod @ X5 @ product_prod @ X2 @ X3 > $o) > X4))).
% 2.27/0.71 thf(func_def_85, type, sK20: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X0 @ product_prod @ X4 @ product_prod @ X1 @ product_prod @ X5 @ product_prod @ X2 @ X3 > $o) > X0))).
% 2.27/0.71 thf(func_def_86, type, sK21: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X0 @ product_prod @ X4 @ product_prod @ X1 @ product_prod @ X5 @ product_prod @ X2 @ X3 > $o) > X5))).
% 2.27/0.71 thf(func_def_87, type, sK22: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X0 @ product_prod @ X4 @ product_prod @ X1 @ product_prod @ X5 @ product_prod @ X2 @ X3 > $o) > X3))).
% 2.27/0.71 thf(func_def_88, type, sK23: !>[X0: $tType, X1: $tType, X2: $tType]:(($o > X0 > (sum_sum @ X2 @ X1 > X0) > X1))).
% 2.27/0.71 thf(func_def_89, type, sK24: !>[X0: $tType, X1: $tType, X2: $tType]:(($o > X0 > (sum_sum @ X2 @ X1 > X0) > X2))).
% 2.27/0.71 thf(func_def_90, type, sK25: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X2 @ product_prod @ X3 @ product_prod @ X1 @ product_prod @ X0 @ X4 > X2))).
% 2.27/0.71 thf(func_def_91, type, sK26: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X2 @ product_prod @ X3 @ product_prod @ X1 @ product_prod @ X0 @ X4 > X4))).
% 2.27/0.71 thf(func_def_92, type, sK27: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X2 @ product_prod @ X3 @ product_prod @ X1 @ product_prod @ X0 @ X4 > X3))).
% 2.27/0.71 thf(func_def_93, type, sK28: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X2 @ product_prod @ X3 @ product_prod @ X1 @ product_prod @ X0 @ X4 > X1))).
% 2.27/0.71 thf(func_def_94, type, sK29: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X2 @ product_prod @ X3 @ product_prod @ X1 @ product_prod @ X0 @ X4 > X0))).
% 2.27/0.71 thf(func_def_95, type, sK30: ((product_prod @ dtree @ dtree > $o) > dtree)).
% 2.27/0.71 thf(func_def_96, type, sK31: ((product_prod @ dtree @ dtree > $o) > dtree)).
% 2.27/0.71 thf(func_def_97, type, sK32: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X3 @ product_prod @ X0 @ product_prod @ X1 @ X2 > X3))).
% 2.27/0.71 thf(func_def_98, type, sK33: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X3 @ product_prod @ X0 @ product_prod @ X1 @ X2 > X1))).
% 2.27/0.71 thf(func_def_99, type, sK34: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X3 @ product_prod @ X0 @ product_prod @ X1 @ X2 > X0))).
% 2.27/0.71 thf(func_def_100, type, sK35: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X3 @ product_prod @ X0 @ product_prod @ X1 @ X2 > X2))).
% 2.27/0.71 thf(func_def_101, type, sK36: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X1 > X0) > (X2 > X1 > X0) > product_prod @ X2 @ X1 > X2))).
% 2.27/0.71 thf(func_def_102, type, sK37: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X1 > X0) > (X2 > X1 > X0) > product_prod @ X2 @ X1 > X1))).
% 2.27/0.71 thf(func_def_103, type, sK38: (set @ sum_sum @ t @ product_prod @ dtree @ dtree > product_prod @ dtree @ dtree > dtree)).
% 2.27/0.71 thf(func_def_104, type, sK39: (set @ sum_sum @ t @ product_prod @ dtree @ dtree > product_prod @ dtree @ dtree > dtree)).
% 2.27/0.71 thf(func_def_105, type, sK40: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > (X0 > X1) > X0))).
% 2.27/0.71 thf(func_def_106, type, sK41: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > product_prod @ X1 @ X0 > set @ X1 > X1))).
% 2.27/0.71 thf(func_def_107, type, sK42: !>[X0: $tType, X1: $tType]:(((X1 > set @ X0) > product_prod @ X1 @ X0 > set @ X1 > X0))).
% 2.27/0.71 thf(func_def_108, type, sK43: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X1))).
% 2.27/0.71 thf(func_def_109, type, sK44: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X0))).
% 2.27/0.71 thf(func_def_110, type, sK45: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 2.27/0.71 thf(func_def_111, type, sK46: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > (X1 > X0 > $o) > X1))).
% 2.27/0.71 thf(func_def_112, type, sK47: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > (X1 > X0 > $o) > X0))).
% 2.27/0.71 thf(func_def_113, type, sK48: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > (X1 > X0) > X1))).
% 2.27/0.71 thf(func_def_114, type, sK49: !>[X0: $tType]:((set @ X0 > X0))).
% 2.27/0.71 thf(func_def_115, type, sK50: !>[X0: $tType, X1: $tType]:((sum_sum @ X0 @ X1 > X0))).
% 2.27/0.71 thf(func_def_116, type, sK51: !>[X0: $tType, X1: $tType]:((sum_sum @ X0 @ X1 > X1))).
% 2.27/0.71 thf(func_def_117, type, sK52: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > X0))).
% 2.27/0.71 thf(func_def_118, type, sK53: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X1 @ product_prod @ X5 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X6 @ X2 > X4))).
% 2.27/0.71 thf(func_def_119, type, sK54: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X1 @ product_prod @ X5 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X6 @ X2 > X5))).
% 2.27/0.71 thf(func_def_120, type, sK55: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X1 @ product_prod @ X5 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X6 @ X2 > X1))).
% 2.27/0.71 thf(func_def_121, type, sK56: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X1 @ product_prod @ X5 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X6 @ X2 > X6))).
% 2.27/0.71 thf(func_def_122, type, sK57: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X1 @ product_prod @ X5 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X6 @ X2 > X3))).
% 2.27/0.71 thf(func_def_123, type, sK58: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X1 @ product_prod @ X5 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X6 @ X2 > X0))).
% 2.27/0.71 thf(func_def_124, type, sK59: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X1 @ product_prod @ X5 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X6 @ X2 > X2))).
% 2.27/0.71 thf(func_def_125, type, sK60: !>[X0: $tType]:(X0)).
% 2.27/0.71 thf(func_def_126, type, sK61: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X0 > $o) > (X0 > X1) > X0))).
% 2.27/0.71 thf(func_def_127, type, sK62: !>[X0: $tType, X1: $tType]:(((sum_sum @ X1 @ X0 > $o) > X0))).
% 2.27/0.71 thf(func_def_128, type, sK63: !>[X0: $tType, X1: $tType]:(((sum_sum @ X1 @ X0 > $o) > X1))).
% 2.27/0.71 thf(func_def_129, type, sK64: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X2 @ X0 > (X2 > X0 > X1 > $o) > X1 > X2))).
% 2.27/0.71 thf(func_def_130, type, sK65: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X2 @ X0 > (X2 > X0 > X1 > $o) > X1 > X0))).
% 2.27/0.71 thf(func_def_131, type, sK66: !>[X0: $tType, X1: $tType]:(((product_prod @ X0 @ X1 > $o) > X1))).
% 2.27/0.71 thf(func_def_132, type, sK67: !>[X0: $tType, X1: $tType]:(((product_prod @ X0 @ X1 > $o) > X0))).
% 2.27/0.71 thf(func_def_133, type, sK68: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X4 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X2 @ X3 > $o) > X0))).
% 2.27/0.71 thf(func_def_134, type, sK69: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X4 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X2 @ X3 > $o) > X1))).
% 2.27/0.71 thf(func_def_135, type, sK70: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X4 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X2 @ X3 > $o) > X3))).
% 2.27/0.71 thf(func_def_136, type, sK71: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X4 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X2 @ X3 > $o) > X2))).
% 2.27/0.71 thf(func_def_137, type, sK72: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X4 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X2 @ X3 > $o) > X4))).
% 2.27/0.71 thf(func_def_138, type, sK73: !>[X0: $tType, X1: $tType]:(((X1 > $o) > set @ X0 > (X0 > X1) > X1))).
% 2.27/0.71 thf(func_def_139, type, sK74: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > X0 > X2) > (product_prod @ X1 @ X0 > X2) > X0))).
% 2.27/0.71 thf(func_def_140, type, sK75: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > X0 > X2) > (product_prod @ X1 @ X0 > X2) > X1))).
% 2.27/0.71 thf(func_def_141, type, sK76: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X2 @ X1 > X2))).
% 2.27/0.71 thf(func_def_142, type, sK77: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X2 @ X1 > X0))).
% 2.27/0.71 thf(func_def_143, type, sK78: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X2 @ X1 > X1))).
% 2.27/0.71 thf(func_def_144, type, sK79: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X2 > X1) > product_prod @ X0 @ X2 > (X1 > $o) > X2))).
% 2.27/0.71 thf(func_def_145, type, sK80: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X2 > X1) > product_prod @ X0 @ X2 > (X1 > $o) > X0))).
% 2.27/0.71 thf(func_def_146, type, sK81: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ X2 > X1))).
% 2.27/0.71 thf(func_def_147, type, sK82: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ X2 > X3))).
% 2.27/0.71 thf(func_def_148, type, sK83: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ X2 > X5))).
% 2.27/0.71 thf(func_def_149, type, sK84: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ X2 > X4))).
% 2.27/0.71 thf(func_def_150, type, sK85: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ X2 > X2))).
% 2.27/0.71 thf(func_def_151, type, sK86: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X3 @ X2 > X0))).
% 2.27/0.71 thf(func_def_152, type, sK87: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > X1))).
% 2.27/0.71 thf(func_def_153, type, sK88: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > X0))).
% 2.27/0.71 thf(func_def_154, type, sK89: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X5 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X4 @ product_prod @ X2 @ product_prod @ X3 @ X6 > $o) > X2))).
% 2.27/0.71 thf(func_def_155, type, sK90: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X5 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X4 @ product_prod @ X2 @ product_prod @ X3 @ X6 > $o) > X0))).
% 2.27/0.71 thf(func_def_156, type, sK91: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X5 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X4 @ product_prod @ X2 @ product_prod @ X3 @ X6 > $o) > X3))).
% 2.27/0.71 thf(func_def_157, type, sK92: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X5 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X4 @ product_prod @ X2 @ product_prod @ X3 @ X6 > $o) > X4))).
% 2.27/0.71 thf(func_def_158, type, sK93: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X5 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X4 @ product_prod @ X2 @ product_prod @ X3 @ X6 > $o) > X1))).
% 2.27/0.71 thf(func_def_159, type, sK94: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X5 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X4 @ product_prod @ X2 @ product_prod @ X3 @ X6 > $o) > X5))).
% 2.27/0.71 thf(func_def_160, type, sK95: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X5 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X4 @ product_prod @ X2 @ product_prod @ X3 @ X6 > $o) > X6))).
% 2.27/0.71 thf(func_def_161, type, sK96: (product_prod @ dtree @ dtree > dtree)).
% 2.27/0.71 thf(func_def_162, type, sK97: (product_prod @ dtree @ dtree > dtree)).
% 2.27/0.71 thf(func_def_163, type, sK98: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > set @ X0 > X0))).
% 2.27/0.71 thf(func_def_164, type, sK99: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > X1))).
% 2.27/0.71 thf(func_def_165, type, sK100: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > X0))).
% 2.27/0.71 thf(func_def_166, type, sK101: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X1 > X0))).
% 2.27/0.71 thf(func_def_167, type, sK102: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X1 > X2) > set @ product_prod @ X1 @ X3 > product_prod @ X2 @ X0 > (X3 > X0) > X1))).
% 2.27/0.71 thf(func_def_168, type, sK103: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X1 > X2) > set @ product_prod @ X1 @ X3 > product_prod @ X2 @ X0 > (X3 > X0) > X3))).
% 2.27/0.71 thf(func_def_169, type, sK104: !>[X0: $tType, X1: $tType]:((X1 > (X0 > X1) > X0))).
% 2.27/0.71 thf(func_def_170, type, sK105: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X0 @ product_prod @ X3 @ product_prod @ X1 @ X2 > $o) > X2))).
% 2.27/0.71 thf(func_def_171, type, sK106: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X0 @ product_prod @ X3 @ product_prod @ X1 @ X2 > $o) > X3))).
% 2.27/0.71 thf(func_def_172, type, sK107: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X0 @ product_prod @ X3 @ product_prod @ X1 @ X2 > $o) > X0))).
% 2.27/0.71 thf(func_def_173, type, sK108: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X0 @ product_prod @ X3 @ product_prod @ X1 @ X2 > $o) > X1))).
% 2.27/0.71 thf(f3,axiom,(
% 2.27/0.71 (((vimage @ dtree @ sum_sum @ t @ dtree @ sum_Inr @ dtree @ t @ (cont @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ tr1 @ tr2))))) = ((image @ product_prod @ dtree @ dtree @ dtree @ parall1899940088le_par @ (product_Sigma @ dtree @ dtree @ (vimage @ dtree @ sum_sum @ t @ dtree @ sum_Inr @ dtree @ t @ (cont @ tr1)) @ (^[X0 : dtree] : ((vimage @ dtree @ sum_sum @ t @ dtree @ sum_Inr @ dtree @ t @ (cont @ tr2))))))))),
% 2.27/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2__092_060open_062Inr_A_N_096_Acont_A_Itr1_A_092_060parallel_062_Atr2_J_A_061_Apar_A_096_A_IInr_A_N_096_Acont_Atr1_A_092_060times_062_AInr_A_N_096_Acont_Atr2_J_092_060close_062)).
% 2.27/0.71 thf(f16,axiom,(
% 2.27/0.71 ! [X1 : $tType,X0 : $tType,X2 : X0,X4 : set @ X1,X3 : (X0 > X1)] : (((member @ X0 @ X2 @ (vimage @ X0 @ X1 @ X3 @ X4))) = ((member @ X1 @ (X3 @ X2) @ X4)))),
% 2.27/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_15_vimage__eq)).
% 2.27/0.71 thf(f20,axiom,(
% 2.27/0.71 ! [X1 : $tType,X0 : $tType,X4 : set @ X1,X3 : (X0 > X1),X2 : X0] : ((member @ X0 @ X2 @ (vimage @ X0 @ X1 @ X3 @ X4)) => (member @ X1 @ (X3 @ X2) @ X4))),
% 2.27/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_19_vimageE)).
% 2.27/0.71 thf(f22,axiom,(
% 2.27/0.71 ! [X0 : $tType,X1 : $tType] : (vimage @ X1 @ X0 = (^[X2 : (X1 > X0), X3 : set @ X0] : ((collect @ X1 @ (^[X4 : X1] : ((member @ X0 @ (X2 @ X4) @ X3)))))))),
% 2.27/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_21_vimage__def)).
% 2.27/0.71 thf(f272,conjecture,(
% 2.27/0.71 (((member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ t2) @ (cont @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ tr1 @ tr2))))) = ((member @ dtree @ t2 @ (image @ product_prod @ dtree @ dtree @ dtree @ parall1899940088le_par @ (product_Sigma @ dtree @ dtree @ (collect @ dtree @ (^[X0 : dtree] : ((member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ X0) @ (cont @ tr1))))) @ (^[X1 : dtree] : ((collect @ dtree @ (^[X0 : dtree] : ((member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ X0) @ (cont @ tr2))))))))))))),
% 2.27/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 2.27/0.71 thf(f273,negated_conjecture,(
% 2.27/0.71 ~ (((member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ t2) @ (cont @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ tr1 @ tr2))))) = ((member @ dtree @ t2 @ (image @ product_prod @ dtree @ dtree @ dtree @ parall1899940088le_par @ (product_Sigma @ dtree @ dtree @ (collect @ dtree @ (^[X0 : dtree] : ((member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ X0) @ (cont @ tr1))))) @ (^[X1 : dtree] : ((collect @ dtree @ (^[X0 : dtree] : ((member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ X0) @ (cont @ tr2))))))))))))),
% 2.27/0.71 inference(negated_conjecture,[status(cth)],[f272])).
% 2.27/0.71 thf(f274,plain,(
% 2.27/0.71 ! [X0 : $tType,X1 : $tType,X2 : set @ X0,X3 : (X1 > X0),X4 : X1] : ((member @ X1 @ X4 @ (vimage @ X1 @ X0 @ X3 @ X2)) => (member @ X0 @ (X3 @ X4) @ X2))),
% 2.27/0.71 inference(rectify,[],[f20])).
% 2.27/0.71 thf(f275,plain,(
% 2.27/0.71 ! [X0 : $tType,X1 : $tType,X4 : X1,X3 : (X1 > X0),X2 : set @ X0] : (($true = ((member @ X1 @ X4 @ (vimage @ X1 @ X0 @ X3 @ X2)))) => ($true = ((member @ X0 @ (X3 @ X4) @ X2))))),
% 2.27/0.71 inference(fool_elimination,[],[f274])).
% 2.27/0.71 thf(f344,plain,(
% 2.27/0.71 (((vimage @ dtree @ sum_sum @ t @ dtree @ sum_Inr @ dtree @ t @ (cont @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ tr1 @ tr2))))) = ((image @ product_prod @ dtree @ dtree @ dtree @ parall1899940088le_par @ (product_Sigma @ dtree @ dtree @ (vimage @ dtree @ sum_sum @ t @ dtree @ sum_Inr @ dtree @ t @ (cont @ tr1)) @ (^[X0 : dtree] : ((vimage @ dtree @ sum_sum @ t @ dtree @ sum_Inr @ dtree @ t @ (cont @ tr2))))))))),
% 2.27/0.71 inference(rectify,[],[f3])).
% 2.27/0.71 thf(f345,plain,(
% 2.27/0.71 (((vimage @ dtree @ sum_sum @ t @ dtree @ sum_Inr @ dtree @ t @ (cont @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ tr1 @ tr2))))) = ((image @ product_prod @ dtree @ dtree @ dtree @ parall1899940088le_par @ (product_Sigma @ dtree @ dtree @ (vimage @ dtree @ sum_sum @ t @ dtree @ sum_Inr @ dtree @ t @ (cont @ tr1)) @ (^[Y0 : dtree]: (vimage @ dtree @ sum_sum @ t @ dtree @ sum_Inr @ dtree @ t @ (cont @ tr2)))))))),
% 2.27/0.71 inference(fool_elimination,[],[f344])).
% 2.27/0.71 thf(f535,plain,(
% 2.27/0.71 ~ (((member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ t2) @ (cont @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ tr1 @ tr2))))) = ((member @ dtree @ t2 @ (image @ product_prod @ dtree @ dtree @ dtree @ parall1899940088le_par @ (product_Sigma @ dtree @ dtree @ (collect @ dtree @ (^[X0 : dtree] : ((member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ X0) @ (cont @ tr1))))) @ (^[X1 : dtree] : ((collect @ dtree @ (^[X2 : dtree] : ((member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ X2) @ (cont @ tr2))))))))))))),
% 2.27/0.71 inference(rectify,[],[f273])).
% 2.27/0.71 thf(f536,plain,(
% 2.27/0.71 ~ (((member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ t2) @ (cont @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ tr1 @ tr2))))) = ((member @ dtree @ t2 @ (image @ product_prod @ dtree @ dtree @ dtree @ parall1899940088le_par @ (product_Sigma @ dtree @ dtree @ (collect @ dtree @ (^[Y0 : dtree]: (member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ Y0) @ (cont @ tr1)))) @ (^[Y0 : dtree]: (collect @ dtree @ (^[Y1 : dtree]: (member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ Y1) @ (cont @ tr2))))))))))),
% 2.27/0.71 inference(fool_elimination,[],[f535])).
% 2.27/0.71 thf(f586,plain,(
% 2.27/0.71 ! [X0 : $tType,X1 : $tType] : (vimage @ X1 @ X0 = (^[X2 : (X1 > X0), X3 : set @ X0] : ((collect @ X1 @ (^[X4 : X1] : ((member @ X0 @ (X2 @ X4) @ X3)))))))),
% 2.27/0.71 inference(rectify,[],[f22])).
% 2.27/0.71 thf(f587,plain,(
% 2.27/0.71 ! [X1 : $tType,X0 : $tType] : (vimage @ X1 @ X0 = (^[Y0 : X1 > X0]: ((^[Y1 : set @ X0]: (collect @ X1 @ (^[Y2 : X1]: (member @ X0 @ (Y0 @ Y2) @ Y1)))))))),
% 2.27/0.71 inference(fool_elimination,[],[f586])).
% 2.27/0.71 thf(f681,plain,(
% 2.27/0.71 (((member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ t2) @ (cont @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ tr1 @ tr2))))) != ((member @ dtree @ t2 @ (image @ product_prod @ dtree @ dtree @ dtree @ parall1899940088le_par @ (product_Sigma @ dtree @ dtree @ (collect @ dtree @ (^[Y0 : dtree]: (member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ Y0) @ (cont @ tr1)))) @ (^[Y0 : dtree]: (collect @ dtree @ (^[Y1 : dtree]: (member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ Y1) @ (cont @ tr2))))))))))),
% 2.27/0.71 inference(flattening,[],[f536])).
% 2.27/0.71 thf(f722,plain,(
% 2.27/0.71 ! [X0 : $tType,X1 : $tType,X2 : X1,X4 : (X1 > X0),X3 : set @ X0] : (((member @ X0 @ (X4 @ X2) @ X3)) = ((member @ X1 @ X2 @ (vimage @ X1 @ X0 @ X4 @ X3))))),
% 2.27/0.71 inference(rectify,[],[f16])).
% 2.27/0.71 thf(f827,plain,(
% 2.27/0.71 ! [X0 : $tType,X1 : $tType,X4 : X1,X2 : set @ X0,X3 : (X1 > X0)] : (($true != ((member @ X1 @ X4 @ (vimage @ X1 @ X0 @ X3 @ X2)))) | ($true = ((member @ X0 @ (X3 @ X4) @ X2))))),
% 2.27/0.71 inference(ennf_transformation,[],[f275])).
% 2.27/0.71 thf(f858,plain,(
% 2.27/0.71 ! [X0 : $tType,X1 : $tType,X2 : X1,X3 : set @ X0,X4 : (X1 > X0)] : (($true != ((member @ X1 @ X2 @ (vimage @ X1 @ X0 @ X4 @ X3)))) | (((member @ X0 @ (X4 @ X2) @ X3)) = $true))),
% 2.27/0.71 inference(rectify,[],[f827])).
% 2.27/0.71 thf(f911,plain,(
% 2.27/0.71 ! [X0 : $tType,X1 : $tType,X2 : X1,X3 : (X1 > X0),X4 : set @ X0] : (((member @ X0 @ (X3 @ X2) @ X4)) = ((member @ X1 @ X2 @ (vimage @ X1 @ X0 @ X3 @ X4))))),
% 2.27/0.71 inference(rectify,[],[f722])).
% 2.27/0.71 thf(f944,plain,(
% 2.27/0.71 ! [X0 : $tType,X1 : $tType] : (vimage @ X0 @ X1 = (^[Y0 : X0 > X1]: ((^[Y1 : set @ X1]: (collect @ X0 @ (^[Y2 : X0]: (member @ X1 @ (Y0 @ Y2) @ Y1)))))))),
% 2.27/0.71 inference(rectify,[],[f587])).
% 2.27/0.71 thf(f1029,plain,(
% 2.27/0.71 ( ! [X1 : $tType,X0 : $tType,X2 : X1,X3 : set @ X0,X4 : (X1 > X0)] : (($true != ((member @ X1 @ X2 @ (vimage @ X1 @ X0 @ X4 @ X3)))) | (((member @ X0 @ (X4 @ X2) @ X3)) = $true)) )),
% 2.27/0.71 inference(cnf_transformation,[],[f858])).
% 2.27/0.71 thf(f1044,plain,(
% 2.27/0.71 (((vimage @ dtree @ sum_sum @ t @ dtree @ sum_Inr @ dtree @ t @ (cont @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ tr1 @ tr2))))) = ((image @ product_prod @ dtree @ dtree @ dtree @ parall1899940088le_par @ (product_Sigma @ dtree @ dtree @ (vimage @ dtree @ sum_sum @ t @ dtree @ sum_Inr @ dtree @ t @ (cont @ tr1)) @ (^[Y0 : dtree]: (vimage @ dtree @ sum_sum @ t @ dtree @ sum_Inr @ dtree @ t @ (cont @ tr2)))))))),
% 2.27/0.71 inference(cnf_transformation,[],[f345])).
% 2.27/0.71 thf(f1095,plain,(
% 2.27/0.71 ( ! [X1 : $tType,X0 : $tType,X2 : X1,X3 : (X1 > X0),X4 : set @ X0] : ((((member @ X0 @ (X3 @ X2) @ X4)) = ((member @ X1 @ X2 @ (vimage @ X1 @ X0 @ X3 @ X4))))) )),
% 2.27/0.71 inference(cnf_transformation,[],[f911])).
% 2.27/0.71 thf(f1130,plain,(
% 2.27/0.71 ( ! [X1 : $tType,X0 : $tType] : ((vimage @ X0 @ X1 = (^[Y0 : X0 > X1]: ((^[Y1 : set @ X1]: (collect @ X0 @ (^[Y2 : X0]: (member @ X1 @ (Y0 @ Y2) @ Y1)))))))) )),
% 2.27/0.71 inference(cnf_transformation,[],[f944])).
% 2.27/0.71 thf(f1156,plain,(
% 2.27/0.71 (((member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ t2) @ (cont @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ tr1 @ tr2))))) != ((member @ dtree @ t2 @ (image @ product_prod @ dtree @ dtree @ dtree @ parall1899940088le_par @ (product_Sigma @ dtree @ dtree @ (collect @ dtree @ (^[Y0 : dtree]: (member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ Y0) @ (cont @ tr1)))) @ (^[Y0 : dtree]: (collect @ dtree @ (^[Y1 : dtree]: (member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ Y1) @ (cont @ tr2))))))))))),
% 2.27/0.71 inference(cnf_transformation,[],[f681])).
% 2.27/0.71 thf(f1203,plain,(
% 2.27/0.71 ( ! [X1 : $tType,X0 : $tType,X2 : X1,X3 : set @ X0,X4 : (X1 > X0)] : ((((member @ X1 @ X2 @ ((^[Y0 : X1 > X0]: ((^[Y1 : set @ X0]: (collect @ X1 @ (^[Y2 : X1]: (member @ X0 @ (Y0 @ Y2) @ Y1)))))) @ X4 @ X3))) != $true) | (((member @ X0 @ (X4 @ X2) @ X3)) = $true)) )),
% 2.27/0.71 inference(definition_unfolding,[],[f1029,f1130])).
% 2.27/0.71 thf(f1206,plain,(
% 2.27/0.71 (((image @ product_prod @ dtree @ dtree @ dtree @ parall1899940088le_par @ (product_Sigma @ dtree @ dtree @ ((^[Y0 : dtree > sum_sum @ t @ dtree]: ((^[Y1 : set @ sum_sum @ t @ dtree]: (collect @ dtree @ (^[Y2 : dtree]: (member @ sum_sum @ t @ dtree @ (Y0 @ Y2) @ Y1)))))) @ sum_Inr @ dtree @ t @ (cont @ tr1)) @ (^[Y0 : dtree]: ((^[Y1 : dtree > sum_sum @ t @ dtree]: ((^[Y2 : set @ sum_sum @ t @ dtree]: (collect @ dtree @ (^[Y3 : dtree]: (member @ sum_sum @ t @ dtree @ (Y1 @ Y3) @ Y2)))))) @ sum_Inr @ dtree @ t @ (cont @ tr2)))))) = (((^[Y0 : dtree > sum_sum @ t @ dtree]: ((^[Y1 : set @ sum_sum @ t @ dtree]: (collect @ dtree @ (^[Y2 : dtree]: (member @ sum_sum @ t @ dtree @ (Y0 @ Y2) @ Y1)))))) @ sum_Inr @ dtree @ t @ (cont @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ tr1 @ tr2))))))),
% 2.27/0.71 inference(definition_unfolding,[],[f1044,f1130,f1130,f1130])).
% 2.27/0.71 thf(f1214,plain,(
% 2.27/0.71 ( ! [X1 : $tType,X0 : $tType,X2 : X1,X3 : (X1 > X0),X4 : set @ X0] : ((((member @ X1 @ X2 @ ((^[Y0 : X1 > X0]: ((^[Y1 : set @ X0]: (collect @ X1 @ (^[Y2 : X1]: (member @ X0 @ (Y0 @ Y2) @ Y1)))))) @ X3 @ X4))) = ((member @ X0 @ (X3 @ X2) @ X4)))) )),
% 2.27/0.71 inference(definition_unfolding,[],[f1095,f1130])).
% 2.27/0.71 thf(f1252,plain,(
% 2.27/0.71 (((collect @ dtree @ (^[Y0 : dtree]: (member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ Y0) @ (cont @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ tr1 @ tr2))))))) = ((image @ product_prod @ dtree @ dtree @ dtree @ parall1899940088le_par @ (product_Sigma @ dtree @ dtree @ (collect @ dtree @ (^[Y0 : dtree]: (member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ Y0) @ (cont @ tr1)))) @ (^[Y0 : dtree]: (collect @ dtree @ (^[Y1 : dtree]: (member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ Y1) @ (cont @ tr2)))))))))),
% 2.27/0.71 inference(beta-eta_normalization,[],[f1206])).
% 2.27/0.71 thf(f1261,plain,(
% 2.27/0.71 ( ! [X1 : $tType,X0 : $tType,X2 : X1,X3 : (X1 > X0),X4 : set @ X0] : ((((member @ X0 @ (X3 @ X2) @ X4)) = ((member @ X1 @ X2 @ (collect @ X1 @ (^[Y0 : X1]: (member @ X0 @ (X3 @ Y0) @ X4))))))) )),
% 2.27/0.71 inference(beta-eta_normalization,[],[f1214])).
% 2.27/0.71 thf(f1266,plain,(
% 2.27/0.71 ( ! [X1 : $tType,X0 : $tType,X2 : X1,X3 : set @ X0,X4 : (X1 > X0)] : ((((member @ X1 @ X2 @ (collect @ X1 @ (^[Y0 : X1]: (member @ X0 @ (X4 @ Y0) @ X3))))) != $true) | (((member @ X0 @ (X4 @ X2) @ X3)) = $true)) )),
% 2.27/0.71 inference(beta-eta_normalization,[],[f1203])).
% 2.27/0.71 thf(f1279,plain,(
% 2.27/0.71 (((member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ t2) @ (cont @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ tr1 @ tr2))))) = $true) | (((member @ dtree @ t2 @ (image @ product_prod @ dtree @ dtree @ dtree @ parall1899940088le_par @ (product_Sigma @ dtree @ dtree @ (collect @ dtree @ (^[Y0 : dtree]: (member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ Y0) @ (cont @ tr1)))) @ (^[Y0 : dtree]: (collect @ dtree @ (^[Y1 : dtree]: (member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ Y1) @ (cont @ tr2))))))))) = $true)),
% 2.27/0.71 inference(xor_proxy_clausification,[],[f1156])).
% 2.27/0.71 thf(f1280,plain,(
% 2.27/0.71 ($false = ((member @ dtree @ t2 @ (image @ product_prod @ dtree @ dtree @ dtree @ parall1899940088le_par @ (product_Sigma @ dtree @ dtree @ (collect @ dtree @ (^[Y0 : dtree]: (member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ Y0) @ (cont @ tr1)))) @ (^[Y0 : dtree]: (collect @ dtree @ (^[Y1 : dtree]: (member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ Y1) @ (cont @ tr2)))))))))) | (((member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ t2) @ (cont @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ tr1 @ tr2))))) = $false)),
% 2.27/0.71 inference(xor_proxy_clausification,[],[f1156])).
% 2.27/0.71 thf(f1281,plain,(
% 2.27/0.71 (((member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ t2) @ (cont @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ tr1 @ tr2))))) = $false) | (((member @ dtree @ t2 @ (collect @ dtree @ (^[Y0 : dtree]: (member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ Y0) @ (cont @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ tr1 @ tr2)))))))) = $false)),
% 2.27/0.71 inference(forward_demodulation,[],[f1280,f1252])).
% 2.27/0.71 thf(f1282,plain,(
% 2.27/0.71 (((member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ t2) @ (cont @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ tr1 @ tr2))))) = $true) | (((member @ dtree @ t2 @ (collect @ dtree @ (^[Y0 : dtree]: (member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ Y0) @ (cont @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ tr1 @ tr2)))))))) = $true)),
% 2.27/0.71 inference(forward_demodulation,[],[f1279,f1252])).
% 2.27/0.71 thf(f1283,plain,(
% 2.27/0.71 (((member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ t2) @ (cont @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ tr1 @ tr2))))) = $false) | (((member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ t2) @ (cont @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ tr1 @ tr2))))) = $false)),
% 2.27/0.71 inference(forward_demodulation,[],[f1281,f1261])).
% 2.27/0.71 thf(f1284,plain,(
% 2.27/0.71 (((member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ t2) @ (cont @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ tr1 @ tr2))))) = $false)),
% 2.27/0.71 inference(duplicate_literal_removal,[],[f1283])).
% 2.27/0.71 thf(f1285,plain,(
% 2.27/0.71 (((member @ sum_sum @ t @ dtree @ (sum_Inr @ dtree @ t @ t2) @ (cont @ (parall1899940088le_par @ (product_Pair @ dtree @ dtree @ tr1 @ tr2))))) = $true)),
% 2.27/0.71 inference(forward_subsumption_resolution,[],[f1282,f1266])).
% 2.27/0.71 thf(f1619,plain,(
% 2.27/0.71 ($false = $true)),
% 2.27/0.71 inference(forward_demodulation,[],[f1285,f1284])).
% 2.27/0.71 thf(f1620,plain,(
% 2.27/0.71 $false),
% 2.27/0.71 inference(trivial_inequality_removal,[],[f1619])).
% 2.27/0.71 % SZS output end Proof for theBenchmark
% 2.27/0.71 % (2990233)------------------------------
% 2.27/0.71 % (2990233)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.27/0.71 % (2990233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/0.71 % (2990233)CaDiCaL version: 2.1.3
% 2.27/0.71 % (2990233)Termination reason: Refutation
% 2.27/0.71 % (2990233)Time elapsed: 0.091 s
% 2.27/0.71 % (2990233)Peak memory usage: 15 MB
% 2.27/0.71 % (2990233)Instructions burned: 172 (million)
% 2.27/0.71 % (2990155)Success in time 0.42 s
% 2.27/0.71 % Vampire exiting
%------------------------------------------------------------------------------