%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : DAT224^1 : 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 : n003.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 07:48:35 AM UTC 2026
% Result : Theorem 1.66s 0.67s
% Output : Refutation 1.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : DAT224^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 % Computer : n003.cluster.edu
% 0.09/0.23 % Model : x86_64 x86_64
% 0.09/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.23 % Memory : 8046.5625MB
% 0.09/0.23 % OS : Linux 6.8.0-71-generic
% 0.09/0.23 % CPULimit : 300
% 0.09/0.23 % WCLimit : 300
% 0.09/0.23 % DateTime : Tue Sep 29 18:12:44 UTC 2026
% 0.09/0.24 % CPUTime :
% 0.09/0.24 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.22/0.29 Running higher-order theorem proving
% 0.22/0.37 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
% 1.36/0.58 % (2869151)Detected a higher-order problem, will run a greedy HOL sequence.
% 1.36/0.58 % (2869158)lrs+10_16_si=on:nwc=1.5:random_seed=306767753:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 1.36/0.58 % (2869157)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=4030550239:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 1.36/0.58 % (2869163)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 1.36/0.58 % (2869163)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
% 1.36/0.58 % (2869158)Instruction limit reached!
% 1.36/0.58 % (2869158)------------------------------
% 1.36/0.58 % (2869158)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.36/0.58 % (2869158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.36/0.58 % (2869158)CaDiCaL version: 2.1.3
% 1.36/0.58 % (2869158)Termination reason: Instruction limit
% 1.36/0.58 % (2869158)Termination phase: shuffling
% 1.36/0.58 % (2869158)Time elapsed: 0.009 s
% 1.36/0.58 % (2869158)Peak memory usage: 10 MB
% 1.36/0.58 % (2869158)Instructions burned: 19 (million)
% 1.36/0.58 % (2869161)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2326528611:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 1.36/0.58 % (2869159)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1522430333:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 1.36/0.58 % (2869162)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3623705713:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 1.36/0.58 % (2869163)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=835401239:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 1.36/0.58 % (2869160)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=885171526: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)
% 1.36/0.58 % (2869159)Instruction limit reached!
% 1.36/0.58 % (2869159)------------------------------
% 1.36/0.58 % (2869159)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.36/0.58 % (2869159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.36/0.58 % (2869159)CaDiCaL version: 2.1.3
% 1.36/0.58 % (2869159)Termination reason: Instruction limit
% 1.36/0.58 % (2869159)Termination phase: shuffling
% 1.36/0.58 % (2869159)Time elapsed: 0.004 s
% 1.36/0.58 % (2869159)Peak memory usage: 10 MB
% 1.36/0.58 % (2869159)Instructions burned: 3 (million)
% 1.36/0.58 % (2869166)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1345018085:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.36/0.58 % (2869166)Instruction limit reached!
% 1.36/0.58 % (2869166)------------------------------
% 1.36/0.58 % (2869166)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.36/0.58 % (2869166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.36/0.58 % (2869166)CaDiCaL version: 2.1.3
% 1.36/0.58 % (2869166)Termination reason: Instruction limit
% 1.36/0.58 % (2869166)Termination phase: shuffling
% 1.36/0.58 % (2869166)Time elapsed: 0.002 s
% 1.36/0.58 % (2869166)Peak memory usage: 10 MB
% 1.36/0.58 % (2869166)Instructions burned: 3 (million)
% 1.36/0.58 % (2869161)Instruction limit reached!
% 1.36/0.58 % (2869161)------------------------------
% 1.36/0.58 % (2869161)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.36/0.58 % (2869161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.36/0.58 % (2869161)CaDiCaL version: 2.1.3
% 1.36/0.58 % (2869161)Termination reason: Instruction limit
% 1.36/0.58 % (2869161)Termination phase: shuffling
% 1.36/0.58 % (2869161)Time elapsed: 0.024 s
% 1.36/0.58 % (2869161)Peak memory usage: 10 MB
% 1.36/0.58 % (2869161)Instructions burned: 28 (million)
% 1.36/0.58 % (2869174)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.36/0.63 % (2869174)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2219230678:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.36/0.63 % (2869172)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1193402711:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.36/0.63 % (2869174)Instruction limit reached!
% 1.36/0.63 % (2869174)------------------------------
% 1.36/0.63 % (2869174)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.36/0.63 % (2869174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.36/0.63 % (2869174)CaDiCaL version: 2.1.3
% 1.36/0.63 % (2869174)Termination reason: Instruction limit
% 1.36/0.63 % (2869174)Termination phase: shuffling
% 1.36/0.63 % (2869174)Time elapsed: 0.004 s
% 1.36/0.63 % (2869174)Peak memory usage: 10 MB
% 1.36/0.63 % (2869174)Instructions burned: 8 (million)
% 1.36/0.63 % (2869172)Instruction limit reached!
% 1.36/0.63 % (2869172)------------------------------
% 1.36/0.63 % (2869172)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.36/0.63 % (2869172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.36/0.63 % (2869172)CaDiCaL version: 2.1.3
% 1.36/0.63 % (2869172)Termination reason: Instruction limit
% 1.36/0.63 % (2869172)Termination phase: shuffling
% 1.36/0.63 % (2869172)Time elapsed: 0.005 s
% 1.36/0.63 % (2869172)Peak memory usage: 10 MB
% 1.36/0.63 % (2869172)Instructions burned: 5 (million)
% 1.36/0.63 % (2869175)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2756521274:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.36/0.63 % (2869178)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
% 1.36/0.63 % (2869178)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.36/0.63 % (2869179)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=2869945797:i=86:piset=equals:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/86Mi)
% 1.36/0.63 % (2869178)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1723847367:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2998 on theBenchmark for (2998ds/28Mi)
% 1.36/0.63 % (2869162)Instruction limit reached!
% 1.36/0.63 % (2869162)------------------------------
% 1.36/0.63 % (2869162)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.36/0.63 % (2869162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.36/0.63 % (2869162)CaDiCaL version: 2.1.3
% 1.36/0.63 % (2869162)Termination reason: Instruction limit
% 1.36/0.63 % (2869162)Termination phase: Preprocessing 3
% 1.36/0.63 % (2869162)Time elapsed: 0.065 s
% 1.36/0.63 % (2869162)Peak memory usage: 12 MB
% 1.36/0.63 % (2869162)Instructions burned: 75 (million)
% 1.36/0.63 % (2869157)Instruction limit reached!
% 1.36/0.63 % (2869157)------------------------------
% 1.36/0.63 % (2869157)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.36/0.63 % (2869157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.36/0.63 % (2869157)CaDiCaL version: 2.1.3
% 1.36/0.63 % (2869175)Instruction limit reached!
% 1.36/0.63 % (2869175)------------------------------
% 1.36/0.63 % (2869175)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.36/0.63 % (2869175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.36/0.63 % (2869175)CaDiCaL version: 2.1.3
% 1.36/0.63 % (2869175)Termination reason: Instruction limit
% 1.36/0.63 % (2869175)Termination phase: shuffling
% 1.36/0.63 % (2869175)Time elapsed: 0.011 s
% 1.36/0.63 % (2869175)Peak memory usage: 10 MB
% 1.36/0.63 % (2869175)Instructions burned: 12 (million)
% 1.36/0.63 % (2869157)Termination reason: Instruction limit
% 1.36/0.63 % (2869157)Termination phase: Property scanning
% 1.36/0.63 % (2869157)Time elapsed: 0.079 s
% 1.36/0.63 % (2869157)Peak memory usage: 12 MB
% 1.36/0.63 % (2869157)Instructions burned: 88 (million)
% 1.36/0.63 % (2869178)Instruction limit reached!
% 1.36/0.63 % (2869178)------------------------------
% 1.36/0.63 % (2869178)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.66/0.67 % (2869178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.66/0.67 % (2869178)CaDiCaL version: 2.1.3
% 1.66/0.67 % (2869178)Termination reason: Instruction limit
% 1.66/0.67 % (2869178)Termination phase: shuffling
% 1.66/0.67 % (2869178)Time elapsed: 0.022 s
% 1.66/0.67 % (2869178)Peak memory usage: 10 MB
% 1.66/0.67 % (2869178)Instructions burned: 29 (million)
% 1.66/0.67 % (2869184)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.66/0.67 % (2869184)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=3293781752:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.66/0.67 % (2869184)Instruction limit reached!
% 1.66/0.67 % (2869184)------------------------------
% 1.66/0.67 % (2869184)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.66/0.67 % (2869184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.66/0.67 % (2869184)CaDiCaL version: 2.1.3
% 1.66/0.67 % (2869184)Termination reason: Instruction limit
% 1.66/0.67 % (2869184)Termination phase: shuffling
% 1.66/0.67 % (2869184)Time elapsed: 0.003 s
% 1.66/0.67 % (2869184)Peak memory usage: 9 MB
% 1.66/0.67 % (2869184)Instructions burned: 2 (million)
% 1.66/0.67 % (2869179)Instruction limit reached!
% 1.66/0.67 % (2869179)------------------------------
% 1.66/0.67 % (2869179)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.66/0.67 % (2869179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.66/0.67 % (2869179)CaDiCaL version: 2.1.3
% 1.66/0.67 % (2869179)Termination reason: Instruction limit
% 1.66/0.67 % (2869179)Termination phase: Preprocessing 1
% 1.66/0.67 % (2869179)Time elapsed: 0.037 s
% 1.66/0.67 % (2869179)Peak memory usage: 11 MB
% 1.66/0.67 % (2869179)Instructions burned: 87 (million)
% 1.66/0.67 % (2869185)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1619875942:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.66/0.67 % (2869183)lrs+10_1_si=on:cs=on:random_seed=3440266477:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.66/0.67 % (2869183)Instruction limit reached!
% 1.66/0.67 % (2869183)------------------------------
% 1.66/0.67 % (2869183)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.66/0.67 % (2869183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.66/0.67 % (2869183)CaDiCaL version: 2.1.3
% 1.66/0.67 % (2869183)Termination reason: Instruction limit
% 1.66/0.67 % (2869183)Termination phase: shuffling
% 1.66/0.67 % (2869183)Time elapsed: 0.008 s
% 1.66/0.67 % (2869183)Peak memory usage: 10 MB
% 1.66/0.67 % (2869183)Instructions burned: 8 (million)
% 1.66/0.67 % (2869188)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3310443291:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.66/0.67 % (2869186)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1870508779:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.66/0.67 % (2869188)Instruction limit reached!
% 1.66/0.67 % (2869188)------------------------------
% 1.66/0.67 % (2869188)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.66/0.67 % (2869188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.66/0.67 % (2869188)CaDiCaL version: 2.1.3
% 1.66/0.67 % (2869188)Termination reason: Instruction limit
% 1.66/0.67 % (2869188)Termination phase: shuffling
% 1.66/0.67 % (2869188)Time elapsed: 0.013 s
% 1.66/0.67 % (2869188)Peak memory usage: 10 MB
% 1.66/0.67 % (2869188)Instructions burned: 25 (million)
% 1.66/0.67 % (2869189)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=879329923:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.66/0.67 % (2869185)Instruction limit reached!
% 1.66/0.67 % (2869185)------------------------------
% 1.66/0.67 % (2869185)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.66/0.67 % (2869185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.66/0.67 % (2869185)CaDiCaL version: 2.1.3
% 1.66/0.67 % (2869185)Termination reason: Instruction limit
% 1.66/0.67 % (2869185)Termination phase: Property scanning
% 1.66/0.67 % (2869185)Time elapsed: 0.032 s
% 1.66/0.67 % (2869185)Peak memory usage: 11 MB
% 1.66/0.67 % (2869185)Instructions burned: 38 (million)
% 1.66/0.67 % (2869163)Instruction limit reached!
% 1.66/0.67 % (2869163)------------------------------
% 1.66/0.67 % (2869163)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.66/0.67 % (2869163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.66/0.67 % (2869163)CaDiCaL version: 2.1.3
% 1.66/0.67 % (2869163)Termination reason: Instruction limit
% 1.66/0.67 % (2869163)Termination phase: Saturation
% 1.66/0.67 % (2869163)Time elapsed: 0.135 s
% 1.66/0.67 % (2869163)Peak memory usage: 14 MB
% 1.66/0.67 % (2869163)Instructions burned: 158 (million)
% 1.66/0.67 % (2869192)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2565453450:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.66/0.67 % (2869189)Instruction limit reached!
% 1.66/0.67 % (2869189)------------------------------
% 1.66/0.67 % (2869189)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.66/0.67 % (2869189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.66/0.67 % (2869189)CaDiCaL version: 2.1.3
% 1.66/0.67 % (2869189)Termination reason: Instruction limit
% 1.66/0.67 % (2869189)Termination phase: shuffling
% 1.66/0.67 % (2869189)Time elapsed: 0.013 s
% 1.66/0.67 % (2869189)Peak memory usage: 10 MB
% 1.66/0.67 % (2869189)Instructions burned: 14 (million)
% 1.66/0.67 % (2869196)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2570830445:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/14Mi)
% 1.66/0.67 % (2869197)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2839379028:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2997 on theBenchmark for (2997ds/2Mi)
% 1.66/0.67 % (2869196)Instruction limit reached!
% 1.66/0.67 % (2869196)------------------------------
% 1.66/0.67 % (2869196)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.66/0.67 % (2869196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.66/0.67 % (2869196)CaDiCaL version: 2.1.3
% 1.66/0.67 % (2869196)Termination reason: Instruction limit
% 1.66/0.67 % (2869196)Termination phase: shuffling
% 1.66/0.67 % (2869196)Time elapsed: 0.007 s
% 1.66/0.67 % (2869196)Peak memory usage: 10 MB
% 1.66/0.67 % (2869196)Instructions burned: 16 (million)
% 1.66/0.67 % (2869197)Instruction limit reached!
% 1.66/0.67 % (2869197)------------------------------
% 1.66/0.67 % (2869197)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.66/0.67 % (2869197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.66/0.67 % (2869197)CaDiCaL version: 2.1.3
% 1.66/0.67 % (2869197)Termination reason: Instruction limit
% 1.66/0.67 % (2869197)Termination phase: shuffling
% 1.66/0.67 % (2869197)Time elapsed: 0.002 s
% 1.66/0.67 % (2869197)Peak memory usage: 10 MB
% 1.66/0.67 % (2869197)Instructions burned: 3 (million)
% 1.66/0.67 % (2869198)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3948435577:i=26:ep=R:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/26Mi)
% 1.66/0.67 % (2869204)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
% 1.66/0.67 % (2869204)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.66/0.67 % (2869204)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=2873556070:i=14:add=off:nm=40:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 1.66/0.67 % (2869200)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=191323697:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 1.66/0.67 % (2869203)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2975898042:cond=on:i=60:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/60Mi)
% 1.66/0.67 % (2869204)Instruction limit reached!
% 1.66/0.67 % (2869204)------------------------------
% 1.66/0.67 % (2869204)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.66/0.67 % (2869204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.66/0.67 % (2869204)CaDiCaL version: 2.1.3
% 1.66/0.67 % (2869204)Termination reason: Instruction limit
% 1.66/0.67 % (2869204)Termination phase: shuffling
% 1.66/0.67 % (2869204)Time elapsed: 0.007 s
% 1.66/0.67 % (2869204)Peak memory usage: 10 MB
% 1.66/0.67 % (2869204)Instructions burned: 15 (million)
% 1.66/0.67 % (2869198)Instruction limit reached!
% 1.66/0.67 % (2869198)------------------------------
% 1.66/0.67 % (2869198)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.66/0.67 % (2869198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.66/0.67 % (2869198)CaDiCaL version: 2.1.3
% 1.66/0.67 % (2869198)Termination reason: Instruction limit
% 1.66/0.67 % (2869198)Termination phase: shuffling
% 1.66/0.67 % (2869198)Time elapsed: 0.023 s
% 1.66/0.67 % (2869198)Peak memory usage: 10 MB
% 1.66/0.67 % (2869198)Instructions burned: 26 (million)
% 1.66/0.67 % (2869200)Instruction limit reached!
% 1.66/0.67 % (2869200)------------------------------
% 1.66/0.67 % (2869200)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.66/0.67 % (2869200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.66/0.67 % (2869200)CaDiCaL version: 2.1.3
% 1.66/0.67 % (2869200)Termination reason: Instruction limit
% 1.66/0.67 % (2869200)Termination phase: shuffling
% 1.66/0.67 % (2869200)Time elapsed: 0.020 s
% 1.66/0.67 % (2869200)Peak memory usage: 11 MB
% 1.66/0.67 % (2869200)Instructions burned: 23 (million)
% 1.66/0.67 % (2869186) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2869151-2869186"...
% 1.66/0.67 % (2869203)Instruction limit reached!
% 1.66/0.67 % (2869203)------------------------------
% 1.66/0.67 % (2869203)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.66/0.67 % (2869203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.66/0.67 % (2869203)CaDiCaL version: 2.1.3
% 1.66/0.67 % (2869203)Termination reason: Instruction limit
% 1.66/0.67 % (2869203)Termination phase: Preprocessing 3
% 1.66/0.67 % (2869203)Time elapsed: 0.035 s
% 1.66/0.67 % (2869203)Peak memory usage: 11 MB
% 1.66/0.67 % (2869203)Instructions burned: 61 (million)
% 1.66/0.67 % (2869209)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.66/0.67 % (2869186)...printing done.
% 1.66/0.67 % (2869209)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=3640751119:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2997 on theBenchmark for (2997ds/8Mi)
% 1.66/0.67 % (2869186)Refutation found. Thanks to Tanya!
% 1.66/0.67 % SZS status Theorem for theBenchmark
% 1.66/0.67 % SZS output start Proof for theBenchmark
% 1.66/0.67 thf(type_def_5, type, tLList446370796tllist: ($tType * $tType) > $tType).
% 1.66/0.67 thf(type_def_6, type, coinductive_llist: $tType > $tType).
% 1.66/0.67 thf(type_def_7, type, product_unit: $tType).
% 1.66/0.67 thf(type_def_8, type, set: $tType > $tType).
% 1.66/0.67 thf(type_def_9, type, itself: $tType > $tType).
% 1.66/0.67 thf(type_def_10, type, f: $tType).
% 1.66/0.67 thf(type_def_11, type, e: $tType).
% 1.66/0.67 thf(type_def_12, type, d: $tType).
% 1.66/0.67 thf(type_def_13, type, c: $tType).
% 1.66/0.67 thf(type_def_14, type, b: $tType).
% 1.66/0.67 thf(type_def_15, type, a: $tType).
% 1.66/0.67 thf(type_def_16, type, sTfun: ($tType * $tType) > $tType).
% 1.66/0.67 thf(func_def_0, type, coinductive_iterates: !>[X0: $tType]:(((X0 > X0) > X0 > coinductive_llist @ X0))).
% 1.66/0.67 thf(func_def_1, type, coinductive_lappend: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 1.66/0.67 thf(func_def_2, type, coinductive_lconcat: !>[X0: $tType]:((coinductive_llist @ coinductive_llist @ X0 > coinductive_llist @ X0))).
% 1.66/0.67 thf(func_def_3, type, coinductive_lfilter: !>[X0: $tType]:(((X0 > $o) > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 1.66/0.67 thf(func_def_4, type, coinductive_lfinite: !>[X0: $tType]:((coinductive_llist @ X0 > $o))).
% 1.66/0.67 thf(func_def_5, type, coinductive_LCons: !>[X0: $tType]:((X0 > coinductive_llist @ X0 > coinductive_llist @ X0))).
% 1.66/0.67 thf(func_def_6, type, coinductive_LNil: !>[X0: $tType]:(coinductive_llist @ X0)).
% 1.66/0.67 thf(func_def_7, type, coindu1381640503_llist: !>[X0: $tType, X1: $tType]:((X0 > (X1 > coinductive_llist @ X1 > X0) > coinductive_llist @ X1 > X0))).
% 1.66/0.67 thf(func_def_8, type, coinductive_lhd: !>[X0: $tType]:((coinductive_llist @ X0 > X0))).
% 1.66/0.67 thf(func_def_9, type, coinductive_lnull: !>[X0: $tType]:((coinductive_llist @ X0 > $o))).
% 1.66/0.67 thf(func_def_10, type, coinductive_lset: !>[X0: $tType]:((coinductive_llist @ X0 > set @ X0))).
% 1.66/0.67 thf(func_def_11, type, coinductive_ltl: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0))).
% 1.66/0.67 thf(func_def_12, type, id: !>[X0: $tType]:((X0 > X0))).
% 1.66/0.67 thf(func_def_13, type, default_default: !>[X0: $tType]:(X0)).
% 1.66/0.67 thf(func_def_14, type, undefined: !>[X0: $tType]:(X0)).
% 1.66/0.67 thf(func_def_15, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 1.66/0.67 thf(func_def_16, type, sup_sup: !>[X0: $tType]:((X0 > X0 > X0))).
% 1.66/0.67 thf(func_def_17, type, bot_bot: !>[X0: $tType]:(X0)).
% 1.66/0.67 thf(func_def_18, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.66/0.67 thf(func_def_19, type, product_Unity: product_unit).
% 1.66/0.67 thf(func_def_20, type, product_rec_unit: !>[X0: $tType]:((X0 > product_unit > X0))).
% 1.66/0.67 thf(func_def_21, type, product_case_unit: !>[X0: $tType]:((X0 > product_unit > X0))).
% 1.66/0.67 thf(func_def_22, type, type: !>[X0: $tType]:(itself @ X0)).
% 1.66/0.67 thf(func_def_23, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 1.66/0.67 thf(func_def_24, type, insert: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 1.66/0.67 thf(func_def_25, type, tLList98099029ppendt: !>[X0: $tType, X1: $tType]:((coinductive_llist @ X0 > tLList446370796tllist @ X0 @ X1 > tLList446370796tllist @ X0 @ X1))).
% 1.66/0.67 thf(func_def_26, type, tLList798109904tllist: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X0 @ X1 > coinductive_llist @ X0))).
% 1.66/0.67 thf(func_def_27, type, tLList192138471append: !>[X0: $tType, X1: $tType, X2: $tType]:((tLList446370796tllist @ X0 @ X1 > (X1 > tLList446370796tllist @ X0 @ X2) > tLList446370796tllist @ X0 @ X2))).
% 1.66/0.67 thf(func_def_28, type, tLList222516140_tcast: !>[X0: $tType, X1: $tType, X2: $tType]:((tLList446370796tllist @ X0 @ X1 > tLList446370796tllist @ X0 @ X2))).
% 1.66/0.67 thf(func_def_29, type, tLList365522113concat: !>[X0: $tType, X1: $tType]:((X0 > tLList446370796tllist @ coinductive_llist @ X1 @ X0 > tLList446370796tllist @ X1 @ X0))).
% 1.66/0.67 thf(func_def_30, type, tLList1329345514concat: !>[X0: $tType, X1: $tType]:(((product_unit > X0) > tLList446370796tllist @ coinductive_llist @ X1 @ X0 > tLList446370796tllist @ X1 @ X0))).
% 1.66/0.67 thf(func_def_31, type, tLList1825092077minal0: !>[X0: $tType]:(X0)).
% 1.66/0.67 thf(func_def_32, type, tLList1813626245filter: !>[X0: $tType, X1: $tType]:((X0 > (X1 > $o) > tLList446370796tllist @ X1 @ X0 > tLList446370796tllist @ X1 @ X0))).
% 1.66/0.67 thf(func_def_33, type, tLList1122525870filter: !>[X0: $tType, X1: $tType]:(((product_unit > X0) > (X1 > $o) > tLList446370796tllist @ X1 @ X0 > tLList446370796tllist @ X1 @ X0))).
% 1.66/0.67 thf(func_def_34, type, tLList1992840728_TCons: !>[X0: $tType, X1: $tType]:((X0 > tLList446370796tllist @ X0 @ X1 > tLList446370796tllist @ X0 @ X1))).
% 1.66/0.67 thf(func_def_35, type, tLList57907754e_TNil: !>[X0: $tType, X1: $tType]:((X0 > tLList446370796tllist @ X1 @ X0))).
% 1.66/0.67 thf(func_def_36, type, tLList200813139tllist: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X2 > tLList446370796tllist @ X2 @ X0 > X1) > tLList446370796tllist @ X2 @ X0 > X1))).
% 1.66/0.67 thf(func_def_37, type, tLList1614408749tllist: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > $o) > (X0 > X1) > (X0 > X2) > (X0 > $o) > (X0 > tLList446370796tllist @ X2 @ X1) > (X0 > X0) > X0 > tLList446370796tllist @ X2 @ X1))).
% 1.66/0.67 thf(func_def_38, type, tLList1968894004s_TNil: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X0 @ X1 > $o))).
% 1.66/0.67 thf(func_def_39, type, tLList11265572tllist: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X1 > $o) > tLList446370796tllist @ X0 @ X1 > $o))).
% 1.66/0.67 thf(func_def_40, type, tLList457864275tllist: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X0 @ X1 > set @ X1))).
% 1.66/0.67 thf(func_def_41, type, tLList2110128105rminal: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X0 @ X1 > X1))).
% 1.66/0.67 thf(func_def_42, type, tLList_Mirabelle_thd: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X0 @ X1 > X0))).
% 1.66/0.67 thf(func_def_43, type, tLList1380991092t_all2: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X1 > $o) > (X2 > X3 > $o) > tLList446370796tllist @ X0 @ X2 > tLList446370796tllist @ X1 @ X3 > $o))).
% 1.66/0.67 thf(func_def_44, type, tLList1669959861e_tmap: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X1) > (X2 > X3) > tLList446370796tllist @ X0 @ X2 > tLList446370796tllist @ X1 @ X3))).
% 1.66/0.67 thf(func_def_45, type, tLList1719791291e_tset: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X0 @ X1 > set @ X0))).
% 1.66/0.67 thf(func_def_46, type, tLList_Mirabelle_ttl: !>[X0: $tType, X1: $tType]:((tLList446370796tllist @ X0 @ X1 > tLList446370796tllist @ X0 @ X1))).
% 1.66/0.67 thf(func_def_47, type, tLList1672613558_llist: !>[X0: $tType, X1: $tType]:((X0 > coinductive_llist @ X1 > tLList446370796tllist @ X1 @ X0))).
% 1.66/0.67 thf(func_def_48, type, tLList636831159tllist: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > $o) > (X0 > X1) > (X0 > X2) > (X0 > X0) > X0 > tLList446370796tllist @ X2 @ X1))).
% 1.66/0.67 thf(func_def_49, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 1.66/0.67 thf(func_def_50, type, p: (a > b > $o)).
% 1.66/0.67 thf(func_def_51, type, q: (c > d > $o)).
% 1.66/0.67 thf(func_def_52, type, f2: (e > a)).
% 1.66/0.67 thf(func_def_53, type, g: (f > c)).
% 1.66/0.67 thf(func_def_54, type, xs: tLList446370796tllist @ e @ f).
% 1.66/0.67 thf(func_def_55, type, ys: tLList446370796tllist @ b @ d).
% 1.66/0.67 thf(func_def_59, type, vAND: ($o > $o > $o)).
% 1.66/0.67 thf(func_def_60, type, db0: !>[X0: $tType]:(X0)).
% 1.66/0.67 thf(func_def_61, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 1.66/0.67 thf(func_def_62, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.66/0.67 thf(func_def_63, type, vNOT: ($o > $o)).
% 1.66/0.67 thf(func_def_64, type, db1: !>[X0: $tType]:(X0)).
% 1.66/0.67 thf(func_def_65, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.66/0.67 thf(func_def_66, type, vIMP: ($o > $o > $o)).
% 1.66/0.67 thf(func_def_67, type, db2: !>[X0: $tType]:(X0)).
% 1.66/0.67 thf(func_def_68, type, vOR: ($o > $o > $o)).
% 1.66/0.67 thf(func_def_69, type, db3: !>[X0: $tType]:(X0)).
% 1.66/0.67 thf(func_def_70, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.66/0.67 thf(func_def_71, type, db6: !>[X0: $tType]:(X0)).
% 1.66/0.67 thf(func_def_72, type, db5: !>[X0: $tType]:(X0)).
% 1.66/0.67 thf(func_def_73, type, db4: !>[X0: $tType]:(X0)).
% 1.66/0.67 thf(func_def_74, type, sP0: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X2) > (X0 > X2) > tLList446370796tllist @ X1 @ X0 > tLList446370796tllist @ X1 @ X0 > $o))).
% 1.66/0.67 thf(func_def_75, type, sP1: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X2 > $o) > (X0 > X2 > $o) > tLList446370796tllist @ X3 @ X2 > tLList446370796tllist @ X1 @ X0 > $o))).
% 1.66/0.67 thf(func_def_76, type, sP2: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((tLList446370796tllist @ X1 @ X0 > tLList446370796tllist @ X3 @ X2 > $o) > (X1 > X3 > $o) > tLList446370796tllist @ X3 @ X2 > tLList446370796tllist @ X1 @ X0 > $o))).
% 1.66/0.67 thf(func_def_77, type, sP3: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((tLList446370796tllist @ X3 @ X2 > (X2 > X0 > $o) > (X2 > X0 > $o) > tLList446370796tllist @ X1 @ X0 > $o))).
% 1.66/0.67 thf(func_def_78, type, sP4: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((tLList446370796tllist @ X1 @ X3 > (X3 > X2 > $o) > tLList446370796tllist @ X0 @ X2 > (X1 > X0 > $o) > $o))).
% 1.66/0.67 thf(func_def_79, type, sP5: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((tLList446370796tllist @ X3 @ X2 > tLList446370796tllist @ X1 @ X0 > $o) > (X2 > X0 > $o) > (X3 > X1 > $o) > tLList446370796tllist @ X3 @ X2 > tLList446370796tllist @ X1 @ X0 > $o))).
% 1.66/0.67 thf(func_def_80, type, sP6: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((tLList446370796tllist @ X3 @ X2 > (X3 > X1 > $o) > (X2 > X0 > $o) > tLList446370796tllist @ X1 @ X0 > $o))).
% 1.66/0.67 thf(func_def_81, type, sK7: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 1.66/0.67 thf(func_def_82, type, sK8: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X2) > (X0 > X2) > tLList446370796tllist @ X1 @ X0 > tLList446370796tllist @ X1 @ X0 > X0))).
% 1.66/0.67 thf(func_def_83, type, sK9: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X2) > (X0 > X2) > tLList446370796tllist @ X1 @ X0 > tLList446370796tllist @ X1 @ X0 > X0))).
% 1.66/0.67 thf(func_def_84, type, sK10: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X2) > tLList446370796tllist @ X0 @ X1 > tLList446370796tllist @ X0 @ X1 > (X0 > X2) > X0))).
% 1.66/0.67 thf(func_def_85, type, sK11: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X2) > tLList446370796tllist @ X0 @ X1 > tLList446370796tllist @ X0 @ X1 > (X0 > X2) > X0))).
% 1.66/0.67 thf(func_def_86, type, sK12: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.66/0.67 thf(func_def_87, type, sK13: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.66/0.67 thf(func_def_88, type, sK14: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X2) > (X0 > X2) > tLList446370796tllist @ X1 @ X0 > X0))).
% 1.66/0.67 thf(func_def_89, type, sK15: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > X2) > (X1 > X2) > tLList446370796tllist @ X1 @ X0 > X1))).
% 1.66/0.67 thf(func_def_90, type, sK16: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X2 > $o) > (X0 > X2 > $o) > tLList446370796tllist @ X3 @ X2 > tLList446370796tllist @ X1 @ X0 > X2))).
% 1.66/0.67 thf(func_def_91, type, sK17: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X2 > $o) > (X0 > X2 > $o) > tLList446370796tllist @ X3 @ X2 > tLList446370796tllist @ X1 @ X0 > X0))).
% 1.66/0.67 thf(func_def_92, type, sK18: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X3 > $o) > tLList446370796tllist @ X3 @ X1 > tLList446370796tllist @ X0 @ X2 > (X0 > X3 > $o) > X3))).
% 1.66/0.67 thf(func_def_93, type, sK19: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X3 > $o) > tLList446370796tllist @ X3 @ X1 > tLList446370796tllist @ X0 @ X2 > (X0 > X3 > $o) > X0))).
% 1.66/0.67 thf(func_def_94, type, sK20: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X3 > X2 > $o) > (X0 > X1 > $o) > (tLList446370796tllist @ X3 @ X0 > tLList446370796tllist @ X2 @ X1 > $o) > tLList446370796tllist @ X3 @ X0))).
% 1.66/0.67 thf(func_def_95, type, sK21: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X3 > X2 > $o) > (X0 > X1 > $o) > (tLList446370796tllist @ X3 @ X0 > tLList446370796tllist @ X2 @ X1 > $o) > tLList446370796tllist @ X2 @ X1))).
% 1.66/0.67 thf(func_def_96, type, sK22: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X2) > tLList446370796tllist @ X1 @ X0 > (X0 > X2) > X0))).
% 1.66/0.67 thf(func_def_97, type, sK23: !>[X0: $tType, X1: $tType, X2: $tType]:((tLList446370796tllist @ X2 @ X1 > (X2 > X0) > (X2 > X0) > X2))).
% 1.66/0.67 thf(func_def_98, type, sK24: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((tLList446370796tllist @ X3 @ X2 > (X2 > X0 > $o) > (X2 > X0 > $o) > tLList446370796tllist @ X1 @ X0 > X2))).
% 1.66/0.67 thf(func_def_99, type, sK25: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((tLList446370796tllist @ X3 @ X2 > (X2 > X0 > $o) > (X2 > X0 > $o) > tLList446370796tllist @ X1 @ X0 > X0))).
% 1.66/0.67 thf(func_def_100, type, sK26: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X2 > X3 > $o) > (X2 > X3 > $o) > tLList446370796tllist @ X2 @ X1 > tLList446370796tllist @ X3 @ X0 > X2))).
% 1.66/0.67 thf(func_def_101, type, sK27: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X2 > X3 > $o) > (X2 > X3 > $o) > tLList446370796tllist @ X2 @ X1 > tLList446370796tllist @ X3 @ X0 > X3))).
% 1.66/0.67 thf(func_def_102, type, sK28: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((tLList446370796tllist @ X1 @ X3 > (X3 > X2 > $o) > tLList446370796tllist @ X0 @ X2 > (X1 > X0 > $o) > X1))).
% 1.66/0.67 thf(func_def_103, type, sK29: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((tLList446370796tllist @ X1 @ X3 > (X3 > X2 > $o) > tLList446370796tllist @ X0 @ X2 > (X1 > X0 > $o) > tLList446370796tllist @ X1 @ X3))).
% 1.66/0.67 thf(func_def_104, type, sK30: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((tLList446370796tllist @ X1 @ X3 > (X3 > X2 > $o) > tLList446370796tllist @ X0 @ X2 > (X1 > X0 > $o) > tLList446370796tllist @ X0 @ X2))).
% 1.66/0.67 thf(func_def_105, type, sK31: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((tLList446370796tllist @ X1 @ X3 > (X3 > X2 > $o) > tLList446370796tllist @ X0 @ X2 > (X1 > X0 > $o) > X0))).
% 1.66/0.67 thf(func_def_106, type, sK32: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X1 > X3 > $o) > tLList446370796tllist @ X2 @ X1 > tLList446370796tllist @ X0 @ X3 > X1))).
% 1.66/0.67 thf(func_def_107, type, sK33: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X1 > X3 > $o) > tLList446370796tllist @ X2 @ X1 > tLList446370796tllist @ X0 @ X3 > X3))).
% 1.66/0.67 thf(func_def_108, type, sK34: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X1 > X0 > $o) > (X2 > X3 > $o) > (tLList446370796tllist @ X2 @ X1 > tLList446370796tllist @ X3 @ X0 > $o) > tLList446370796tllist @ X3 @ X0))).
% 1.66/0.67 thf(func_def_109, type, sK35: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X1 > X0 > $o) > (X2 > X3 > $o) > (tLList446370796tllist @ X2 @ X1 > tLList446370796tllist @ X3 @ X0 > $o) > tLList446370796tllist @ X2 @ X1))).
% 1.66/0.67 thf(func_def_110, type, sK36: !>[X0: $tType, X1: $tType]:(((X1 > X1 > $o) > tLList446370796tllist @ X0 @ X1 > X1))).
% 1.66/0.67 thf(func_def_111, type, sK37: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > tLList446370796tllist @ X0 @ X1 > X0))).
% 1.66/0.67 thf(func_def_112, type, sK38: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((tLList446370796tllist @ X3 @ X2 > (X3 > X1 > $o) > (X2 > X0 > $o) > tLList446370796tllist @ X1 @ X0 > tLList446370796tllist @ X3 @ X2))).
% 1.66/0.67 thf(func_def_113, type, sK39: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((tLList446370796tllist @ X3 @ X2 > (X3 > X1 > $o) > (X2 > X0 > $o) > tLList446370796tllist @ X1 @ X0 > X3))).
% 1.66/0.67 thf(func_def_114, type, sK40: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((tLList446370796tllist @ X3 @ X2 > (X3 > X1 > $o) > (X2 > X0 > $o) > tLList446370796tllist @ X1 @ X0 > tLList446370796tllist @ X1 @ X0))).
% 1.66/0.67 thf(func_def_115, type, sK41: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((tLList446370796tllist @ X3 @ X2 > (X3 > X1 > $o) > (X2 > X0 > $o) > tLList446370796tllist @ X1 @ X0 > X1))).
% 1.66/0.67 thf(func_def_116, type, sK42: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((tLList446370796tllist @ X1 @ X3 > (X3 > X2 > $o) > tLList446370796tllist @ X0 @ X2 > X3))).
% 1.66/0.67 thf(func_def_117, type, sK43: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((tLList446370796tllist @ X1 @ X3 > (X3 > X2 > $o) > tLList446370796tllist @ X0 @ X2 > X2))).
% 1.66/0.67 thf(f2,axiom,(
% 1.66/0.67 ! [X0 : $tType,X2 : $tType,X3 : $tType,X5 : $tType,X1 : $tType,X4 : $tType,X6 : (X2 > X5 > $o),X11 : tLList446370796tllist @ X5 @ X4,X10 : tLList446370796tllist @ X0 @ X1,X9 : (X1 > X3),X7 : (X3 > X4 > $o),X8 : (X0 > X2)] : (((tLList1380991092t_all2 @ X0 @ X5 @ X1 @ X4 @ (^[X12 : X0] : ((X6 @ (X8 @ X12)))) @ (^[X12 : X1] : ((X7 @ (X9 @ X12)))) @ X10 @ X11)) = ((tLList1380991092t_all2 @ X2 @ X5 @ X3 @ X4 @ X6 @ X7 @ (tLList1669959861e_tmap @ X0 @ X2 @ X1 @ X3 @ X8 @ X9 @ X10) @ X11)))),
% 1.66/0.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_tllist_Orel__map_I1_J)).
% 1.66/0.67 thf(f254,conjecture,(
% 1.66/0.67 (((tLList1380991092t_all2 @ e @ b @ f @ d @ (^[X0 : e] : ((p @ (f2 @ X0)))) @ (^[X0 : f] : ((q @ (g @ X0)))) @ xs @ ys)) = ((tLList1380991092t_all2 @ a @ b @ c @ d @ p @ q @ (tLList1669959861e_tmap @ e @ a @ f @ c @ f2 @ g @ xs) @ ys)))),
% 1.66/0.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 1.66/0.67 thf(f255,negated_conjecture,(
% 1.66/0.67 ~ (((tLList1380991092t_all2 @ e @ b @ f @ d @ (^[X0 : e] : ((p @ (f2 @ X0)))) @ (^[X0 : f] : ((q @ (g @ X0)))) @ xs @ ys)) = ((tLList1380991092t_all2 @ a @ b @ c @ d @ p @ q @ (tLList1669959861e_tmap @ e @ a @ f @ c @ f2 @ g @ xs) @ ys)))),
% 1.66/0.67 inference(negated_conjecture,[status(cth)],[f254])).
% 1.66/0.67 thf(f288,plain,(
% 1.66/0.67 ! [X0 : $tType,X1 : $tType,X2 : $tType,X3 : $tType,X4 : $tType,X5 : $tType,X6 : (X1 > X3 > $o),X7 : tLList446370796tllist @ X3 @ X5,X8 : tLList446370796tllist @ X0 @ X4,X9 : (X4 > X2),X10 : (X2 > X5 > $o),X11 : (X0 > X1)] : (((tLList1380991092t_all2 @ X0 @ X3 @ X4 @ X5 @ (^[X12 : X0] : ((X6 @ (X11 @ X12)))) @ (^[X13 : X4] : ((X10 @ (X9 @ X13)))) @ X8 @ X7)) = ((tLList1380991092t_all2 @ X1 @ X3 @ X2 @ X5 @ X6 @ X10 @ (tLList1669959861e_tmap @ X0 @ X1 @ X4 @ X2 @ X11 @ X9 @ X8) @ X7)))),
% 1.66/0.67 inference(rectify,[],[f2])).
% 1.66/0.67 thf(f289,plain,(
% 1.66/0.67 ! [X4 : $tType,X2 : $tType,X5 : $tType,X0 : $tType,X3 : $tType,X1 : $tType,X8 : tLList446370796tllist @ X0 @ X4,X9 : (X4 > X2),X10 : (X2 > X5 > $o),X11 : (X0 > X1),X7 : tLList446370796tllist @ X3 @ X5,X6 : (X1 > X3 > $o)] : (((tLList1380991092t_all2 @ X1 @ X3 @ X2 @ X5 @ X6 @ X10 @ (tLList1669959861e_tmap @ X0 @ X1 @ X4 @ X2 @ X11 @ X9 @ X8) @ X7)) = ((tLList1380991092t_all2 @ X0 @ X3 @ X4 @ X5 @ (^[Y0 : X0]: (X6 @ (X11 @ Y0))) @ (^[Y0 : X4]: (X10 @ (X9 @ Y0))) @ X8 @ X7)))),
% 1.66/0.67 inference(fool_elimination,[],[f288])).
% 1.66/0.67 thf(f475,plain,(
% 1.66/0.67 ~ (((tLList1380991092t_all2 @ e @ b @ f @ d @ (^[X0 : e] : ((p @ (f2 @ X0)))) @ (^[X1 : f] : ((q @ (g @ X1)))) @ xs @ ys)) = ((tLList1380991092t_all2 @ a @ b @ c @ d @ p @ q @ (tLList1669959861e_tmap @ e @ a @ f @ c @ f2 @ g @ xs) @ ys)))),
% 1.66/0.67 inference(rectify,[],[f255])).
% 1.66/0.67 thf(f476,plain,(
% 1.66/0.67 ~ (((tLList1380991092t_all2 @ a @ b @ c @ d @ p @ q @ (tLList1669959861e_tmap @ e @ a @ f @ c @ f2 @ g @ xs) @ ys)) = ((tLList1380991092t_all2 @ e @ b @ f @ d @ (^[Y0 : e]: (p @ (f2 @ Y0))) @ (^[Y0 : f]: (q @ (g @ Y0))) @ xs @ ys)))),
% 1.66/0.67 inference(fool_elimination,[],[f475])).
% 1.66/0.67 thf(f632,plain,(
% 1.66/0.67 (((tLList1380991092t_all2 @ a @ b @ c @ d @ p @ q @ (tLList1669959861e_tmap @ e @ a @ f @ c @ f2 @ g @ xs) @ ys)) != ((tLList1380991092t_all2 @ e @ b @ f @ d @ (^[Y0 : e]: (p @ (f2 @ Y0))) @ (^[Y0 : f]: (q @ (g @ Y0))) @ xs @ ys)))),
% 1.66/0.67 inference(flattening,[],[f476])).
% 1.66/0.67 thf(f694,plain,(
% 1.66/0.67 ! [X0 : $tType,X1 : $tType,X2 : $tType,X3 : $tType,X4 : $tType,X5 : $tType,X6 : tLList446370796tllist @ X3 @ X0,X7 : (X0 > X1),X8 : (X1 > X2 > $o),X9 : (X3 > X5),X10 : tLList446370796tllist @ X4 @ X2,X11 : (X5 > X4 > $o)] : (((tLList1380991092t_all2 @ X5 @ X4 @ X1 @ X2 @ X11 @ X8 @ (tLList1669959861e_tmap @ X3 @ X5 @ X0 @ X1 @ X9 @ X7 @ X6) @ X10)) = ((tLList1380991092t_all2 @ X3 @ X4 @ X0 @ X2 @ (^[Y0 : X3]: (X11 @ (X9 @ Y0))) @ (^[Y0 : X0]: (X8 @ (X7 @ Y0))) @ X6 @ X10)))),
% 1.66/0.67 inference(rectify,[],[f289])).
% 1.66/0.67 thf(f755,plain,(
% 1.66/0.67 ( ! [X5 : $tType,X4 : $tType,X1 : $tType,X0 : $tType,X3 : $tType,X2 : $tType,X10 : tLList446370796tllist @ X4 @ X2,X11 : (X5 > X4 > $o),X8 : (X1 > X2 > $o),X6 : tLList446370796tllist @ X3 @ X0,X9 : (X3 > X5),X7 : (X0 > X1)] : ((((tLList1380991092t_all2 @ X5 @ X4 @ X1 @ X2 @ X11 @ X8 @ (tLList1669959861e_tmap @ X3 @ X5 @ X0 @ X1 @ X9 @ X7 @ X6) @ X10)) = ((tLList1380991092t_all2 @ X3 @ X4 @ X0 @ X2 @ (^[Y0 : X3]: (X11 @ (X9 @ Y0))) @ (^[Y0 : X0]: (X8 @ (X7 @ Y0))) @ X6 @ X10)))) )),
% 1.66/0.67 inference(cnf_transformation,[],[f694])).
% 1.66/0.67 thf(f770,plain,(
% 1.66/0.67 (((tLList1380991092t_all2 @ a @ b @ c @ d @ p @ q @ (tLList1669959861e_tmap @ e @ a @ f @ c @ f2 @ g @ xs) @ ys)) != ((tLList1380991092t_all2 @ e @ b @ f @ d @ (^[Y0 : e]: (p @ (f2 @ Y0))) @ (^[Y0 : f]: (q @ (g @ Y0))) @ xs @ ys)))),
% 1.66/0.67 inference(cnf_transformation,[],[f632])).
% 1.66/0.67 thf(f851,plain,(
% 1.66/0.67 (((tLList1380991092t_all2 @ a @ b @ c @ d @ p @ q @ (tLList1669959861e_tmap @ e @ a @ f @ c @ f2 @ g @ xs) @ ys)) = $true) | ($true = ((tLList1380991092t_all2 @ e @ b @ f @ d @ (^[Y0 : e]: (p @ (f2 @ Y0))) @ (^[Y0 : f]: (q @ (g @ Y0))) @ xs @ ys)))),
% 1.66/0.67 inference(xor_proxy_clausification,[],[f770])).
% 1.66/0.67 thf(f852,plain,(
% 1.66/0.67 ($false = ((tLList1380991092t_all2 @ e @ b @ f @ d @ (^[Y0 : e]: (p @ (f2 @ Y0))) @ (^[Y0 : f]: (q @ (g @ Y0))) @ xs @ ys))) | (((tLList1380991092t_all2 @ a @ b @ c @ d @ p @ q @ (tLList1669959861e_tmap @ e @ a @ f @ c @ f2 @ g @ xs) @ ys)) = $false)),
% 1.66/0.67 inference(xor_proxy_clausification,[],[f770])).
% 1.66/0.67 thf(f853,plain,(
% 1.66/0.67 (((tLList1380991092t_all2 @ a @ b @ c @ d @ p @ q @ (tLList1669959861e_tmap @ e @ a @ f @ c @ f2 @ g @ xs) @ ys)) = $false) | (((tLList1380991092t_all2 @ a @ b @ c @ d @ p @ q @ (tLList1669959861e_tmap @ e @ a @ f @ c @ f2 @ g @ xs) @ ys)) = $false)),
% 1.66/0.67 inference(forward_demodulation,[],[f852,f755])).
% 1.66/0.67 thf(f854,plain,(
% 1.66/0.67 (((tLList1380991092t_all2 @ a @ b @ c @ d @ p @ q @ (tLList1669959861e_tmap @ e @ a @ f @ c @ f2 @ g @ xs) @ ys)) = $false)),
% 1.66/0.67 inference(duplicate_literal_removal,[],[f853])).
% 1.66/0.67 thf(f855,plain,(
% 1.66/0.67 (((tLList1380991092t_all2 @ a @ b @ c @ d @ p @ q @ (tLList1669959861e_tmap @ e @ a @ f @ c @ f2 @ g @ xs) @ ys)) = $true) | (((tLList1380991092t_all2 @ a @ b @ c @ d @ p @ q @ (tLList1669959861e_tmap @ e @ a @ f @ c @ f2 @ g @ xs) @ ys)) = $true)),
% 1.66/0.67 inference(forward_demodulation,[],[f851,f755])).
% 1.66/0.67 thf(f856,plain,(
% 1.66/0.67 (((tLList1380991092t_all2 @ a @ b @ c @ d @ p @ q @ (tLList1669959861e_tmap @ e @ a @ f @ c @ f2 @ g @ xs) @ ys)) = $true)),
% 1.66/0.67 inference(duplicate_literal_removal,[],[f855])).
% 1.66/0.67 thf(f857,plain,(
% 1.66/0.67 ($true = $false)),
% 1.66/0.67 inference(forward_demodulation,[],[f856,f854])).
% 1.66/0.67 thf(f858,plain,(
% 1.66/0.67 $false),
% 1.66/0.67 inference(trivial_inequality_removal,[],[f857])).
% 1.66/0.67 % SZS output end Proof for theBenchmark
% 1.66/0.67 % (2869186)------------------------------
% 1.66/0.67 % (2869186)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.66/0.67 % (2869186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.66/0.67 % (2869186)CaDiCaL version: 2.1.3
% 1.66/0.67 % (2869186)Termination reason: Refutation
% 1.66/0.67 % (2869186)Time elapsed: 0.094 s
% 1.66/0.67 % (2869186)Peak memory usage: 14 MB
% 1.66/0.67 % (2869186)Instructions burned: 106 (million)
% 1.66/0.67 % (2869151)Success in time 0.291 s
% 1.66/0.67 % Vampire exiting
%------------------------------------------------------------------------------