%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COM203^1 : 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 : n007.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 0.63s 0.46s
% Output : Refutation 0.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM203^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n007.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Tue Sep 29 17:49:26 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 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
% 0.63/0.42 % (3711859)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.63/0.42 % (3711865)lrs+10_16_si=on:nwc=1.5:random_seed=1044401684:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.63/0.42 % (3711870)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.63/0.42 % (3711870)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
% 0.63/0.42 % (3711865)Instruction limit reached!
% 0.63/0.42 % (3711865)------------------------------
% 0.63/0.42 % (3711865)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.42 % (3711865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.42 % (3711865)CaDiCaL version: 2.1.3
% 0.63/0.42 % (3711866)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3132531208:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.63/0.42 % (3711865)Termination reason: Instruction limit
% 0.63/0.43 % (3711865)Termination phase: Property scanning
% 0.63/0.43 % (3711865)Time elapsed: 0.006 s
% 0.63/0.43 % (3711865)Peak memory usage: 10 MB
% 0.63/0.43 % (3711865)Instructions burned: 21 (million)
% 0.63/0.43 % (3711869)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1865628579:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.63/0.43 % (3711870)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=2210894811:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.63/0.43 % (3711868)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=4285678574:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.63/0.43 % (3711867)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=2808189236: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)
% 0.63/0.43 % (3711866)Instruction limit reached!
% 0.63/0.43 % (3711866)------------------------------
% 0.63/0.43 % (3711866)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.43 % (3711866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.43 % (3711866)CaDiCaL version: 2.1.3
% 0.63/0.43 % (3711866)Termination reason: Instruction limit
% 0.63/0.43 % (3711866)Termination phase: shuffling
% 0.63/0.43 % (3711866)Time elapsed: 0.002 s
% 0.63/0.43 % (3711866)Peak memory usage: 10 MB
% 0.63/0.43 % (3711866)Instructions burned: 4 (million)
% 0.63/0.43 % (3711873)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2453571036:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.63/0.43 % (3711864)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2392881794:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.63/0.43 % (3711868)Instruction limit reached!
% 0.63/0.43 % (3711868)------------------------------
% 0.63/0.43 % (3711868)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.43 % (3711868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.43 % (3711868)CaDiCaL version: 2.1.3
% 0.63/0.43 % (3711868)Termination reason: Instruction limit
% 0.63/0.43 % (3711868)Termination phase: Property scanning
% 0.63/0.43 % (3711868)Time elapsed: 0.012 s
% 0.63/0.43 % (3711868)Peak memory usage: 10 MB
% 0.63/0.43 % (3711868)Instructions burned: 24 (million)
% 0.63/0.43 % (3711873)Instruction limit reached!
% 0.63/0.43 % (3711873)------------------------------
% 0.63/0.43 % (3711873)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.43 % (3711873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.43 % (3711873)CaDiCaL version: 2.1.3
% 0.63/0.43 % (3711873)Termination reason: Instruction limit
% 0.63/0.43 % (3711873)Termination phase: shuffling
% 0.63/0.43 % (3711873)Time elapsed: 0.004 s
% 0.63/0.43 % (3711873)Peak memory usage: 10 MB
% 0.63/0.43 % (3711873)Instructions burned: 14 (million)
% 0.63/0.43 % (3711878)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=565608100:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.63/0.45 % (3711878)Instruction limit reached!
% 0.63/0.45 % (3711878)------------------------------
% 0.63/0.45 % (3711878)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.45 % (3711878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.45 % (3711878)CaDiCaL version: 2.1.3
% 0.63/0.45 % (3711878)Termination reason: Instruction limit
% 0.63/0.45 % (3711878)Termination phase: shuffling
% 0.63/0.45 % (3711878)Time elapsed: 0.003 s
% 0.63/0.45 % (3711878)Peak memory usage: 10 MB
% 0.63/0.45 % (3711878)Instructions burned: 5 (million)
% 0.63/0.45 % (3711882)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=153896309:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.63/0.45 % (3711881)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.63/0.45 % (3711882)Instruction limit reached!
% 0.63/0.45 % (3711882)------------------------------
% 0.63/0.45 % (3711882)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.45 % (3711882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.45 % (3711882)CaDiCaL version: 2.1.3
% 0.63/0.45 % (3711882)Termination reason: Instruction limit
% 0.63/0.45 % (3711882)Termination phase: shuffling
% 0.63/0.45 % (3711882)Time elapsed: 0.004 s
% 0.63/0.45 % (3711882)Peak memory usage: 10 MB
% 0.63/0.45 % (3711882)Instructions burned: 16 (million)
% 0.63/0.45 % (3711881)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2706242456:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.63/0.45 % (3711881)Instruction limit reached!
% 0.63/0.45 % (3711881)------------------------------
% 0.63/0.45 % (3711881)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.45 % (3711881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.45 % (3711881)CaDiCaL version: 2.1.3
% 0.63/0.45 % (3711881)Termination reason: Instruction limit
% 0.63/0.45 % (3711881)Termination phase: shuffling
% 0.63/0.45 % (3711881)Time elapsed: 0.004 s
% 0.63/0.45 % (3711881)Peak memory usage: 10 MB
% 0.63/0.45 % (3711881)Instructions burned: 8 (million)
% 0.63/0.45 % (3711869)Instruction limit reached!
% 0.63/0.45 % (3711869)------------------------------
% 0.63/0.45 % (3711869)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.45 % (3711869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.45 % (3711869)CaDiCaL version: 2.1.3
% 0.63/0.45 % (3711869)Termination reason: Instruction limit
% 0.63/0.45 % (3711869)Termination phase: Function definition elimination
% 0.63/0.45 % (3711869)Time elapsed: 0.038 s
% 0.63/0.45 % (3711869)Peak memory usage: 12 MB
% 0.63/0.45 % (3711869)Instructions burned: 76 (million)
% 0.63/0.45 % (3711885)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
% 0.63/0.45 % (3711885)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.63/0.45 % (3711886)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=607925467:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.63/0.45 % (3711885)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=77053860:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.63/0.45 % (3711889)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.63/0.45 % (3711888)lrs+10_1_si=on:cs=on:random_seed=4252491752:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.63/0.45 % (3711889)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=991089497:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.63/0.45 % (3711885)Instruction limit reached!
% 0.63/0.45 % (3711885)------------------------------
% 0.63/0.45 % (3711885)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.45 % (3711885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.45 % (3711885)CaDiCaL version: 2.1.3
% 0.63/0.45 % (3711885)Termination reason: Instruction limit
% 0.63/0.45 % (3711885)Termination phase: shuffling
% 0.63/0.45 % (3711885)Time elapsed: 0.014 s
% 0.63/0.45 % (3711885)Peak memory usage: 10 MB
% 0.63/0.45 % (3711885)Instructions burned: 30 (million)
% 0.63/0.45 % (3711888)Instruction limit reached!
% 0.63/0.45 % (3711888)------------------------------
% 0.63/0.45 % (3711888)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.45 % (3711888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.45 % (3711888)CaDiCaL version: 2.1.3
% 0.63/0.45 % (3711888)Termination reason: Instruction limit
% 0.63/0.45 % (3711888)Termination phase: shuffling
% 0.63/0.45 % (3711888)Time elapsed: 0.004 s
% 0.63/0.45 % (3711888)Peak memory usage: 10 MB
% 0.63/0.45 % (3711888)Instructions burned: 8 (million)
% 0.63/0.45 % (3711889)Instruction limit reached!
% 0.63/0.45 % (3711889)------------------------------
% 0.63/0.45 % (3711889)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.46 % (3711889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.46 % (3711889)CaDiCaL version: 2.1.3
% 0.63/0.46 % (3711889)Termination reason: Instruction limit
% 0.63/0.46 % (3711889)Termination phase: shuffling
% 0.63/0.46 % (3711889)Time elapsed: 0.004 s
% 0.63/0.46 % (3711889)Peak memory usage: 10 MB
% 0.63/0.46 % (3711889)Instructions burned: 6 (million)
% 0.63/0.46 % (3711886)Instruction limit reached!
% 0.63/0.46 % (3711886)------------------------------
% 0.63/0.46 % (3711886)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.46 % (3711886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.46 % (3711886)CaDiCaL version: 2.1.3
% 0.63/0.46 % (3711886)Termination reason: Instruction limit
% 0.63/0.46 % (3711886)Termination phase: Preprocessing 3
% 0.63/0.46 % (3711886)Time elapsed: 0.021 s
% 0.63/0.46 % (3711886)Peak memory usage: 11 MB
% 0.63/0.46 % (3711886)Instructions burned: 90 (million)
% 0.63/0.46 % (3711897)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2343840926:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.63/0.46 % (3711894)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1033741129:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 0.63/0.46 % (3711897)Instruction limit reached!
% 0.63/0.46 % (3711897)------------------------------
% 0.63/0.46 % (3711897)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.46 % (3711897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.46 % (3711897)CaDiCaL version: 2.1.3
% 0.63/0.46 % (3711897)Termination reason: Instruction limit
% 0.63/0.46 % (3711897)Termination phase: shuffling
% 0.63/0.46 % (3711897)Time elapsed: 0.004 s
% 0.63/0.46 % (3711897)Peak memory usage: 10 MB
% 0.63/0.46 % (3711897)Instructions burned: 18 (million)
% 0.63/0.46 % (3711895)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2694371037:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.63/0.46 % (3711896)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=4039144110:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.63/0.46 % (3711864)Instruction limit reached!
% 0.63/0.46 % (3711864)------------------------------
% 0.63/0.46 % (3711864)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.46 % (3711864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.46 % (3711864)CaDiCaL version: 2.1.3
% 0.63/0.46 % (3711864)Termination reason: Instruction limit
% 0.63/0.46 % (3711864)Termination phase: Property scanning
% 0.63/0.46 % (3711864)Time elapsed: 0.070 s
% 0.63/0.46 % (3711864)Peak memory usage: 12 MB
% 0.63/0.46 % (3711864)Instructions burned: 87 (million)
% 0.63/0.46 % (3711870)Instruction limit reached!
% 0.63/0.46 % (3711870)------------------------------
% 0.63/0.46 % (3711870)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.46 % (3711870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.46 % (3711870)CaDiCaL version: 2.1.3
% 0.63/0.46 % (3711870)Termination reason: Instruction limit
% 0.63/0.46 % (3711870)Termination phase: Saturation
% 0.63/0.46 % (3711870)Time elapsed: 0.084 s
% 0.63/0.46 % (3711870)Peak memory usage: 14 MB
% 0.63/0.46 % (3711870)Instructions burned: 159 (million)
% 0.63/0.46 % (3711900)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=653869216:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.63/0.46 % (3711896)Instruction limit reached!
% 0.63/0.46 % (3711896)------------------------------
% 0.63/0.46 % (3711896)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.46 % (3711896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.46 % (3711896)CaDiCaL version: 2.1.3
% 0.63/0.46 % (3711896)Termination reason: Instruction limit
% 0.63/0.46 % (3711896)Termination phase: Property scanning
% 0.63/0.46 % (3711896)Time elapsed: 0.013 s
% 0.63/0.46 % (3711896)Peak memory usage: 10 MB
% 0.63/0.46 % (3711896)Instructions burned: 26 (million)
% 0.63/0.46 % (3711894)Instruction limit reached!
% 0.63/0.46 % (3711894)------------------------------
% 0.63/0.46 % (3711894)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.46 % (3711894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.46 % (3711894)CaDiCaL version: 2.1.3
% 0.63/0.46 % (3711894)Termination reason: Instruction limit
% 0.63/0.46 % (3711894)Termination phase: Preprocessing 3
% 0.63/0.46 % (3711894)Time elapsed: 0.020 s
% 0.63/0.46 % (3711894)Peak memory usage: 11 MB
% 0.63/0.46 % (3711894)Instructions burned: 40 (million)
% 0.63/0.46 % (3711904)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3487095964: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)
% 0.63/0.46 % (3711904)Instruction limit reached!
% 0.63/0.46 % (3711904)------------------------------
% 0.63/0.46 % (3711904)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.46 % (3711904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.46 % (3711904)CaDiCaL version: 2.1.3
% 0.63/0.46 % (3711904)Termination reason: Instruction limit
% 0.63/0.46 % (3711904)Termination phase: shuffling
% 0.63/0.46 % (3711904)Time elapsed: 0.002 s
% 0.63/0.46 % (3711904)Peak memory usage: 10 MB
% 0.63/0.46 % (3711904)Instructions burned: 2 (million)
% 0.63/0.46 % (3711895) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3711859-3711895"...
% 0.63/0.46 % (3711903)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2738132355:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.63/0.46 % (3711895)...printing done.
% 0.63/0.46 % (3711906)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3003082257:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.63/0.46 % (3711895)Refutation found. Thanks to Tanya!
% 0.63/0.46 % SZS status Theorem for theBenchmark
% 0.63/0.46 % SZS output start Proof for theBenchmark
% 0.63/0.46 thf(type_def_5, type, product_prod: ($tType * $tType) > $tType).
% 0.63/0.46 thf(type_def_6, type, sum_sum: ($tType * $tType) > $tType).
% 0.63/0.46 thf(type_def_7, type, option: $tType > $tType).
% 0.63/0.46 thf(type_def_8, type, dtree: $tType).
% 0.63/0.46 thf(type_def_9, type, set: $tType > $tType).
% 0.63/0.46 thf(type_def_10, type, t: $tType).
% 0.63/0.46 thf(type_def_11, type, n: $tType).
% 0.63/0.46 thf(type_def_12, type, itself: $tType > $tType).
% 0.63/0.46 thf(type_def_13, type, sTfun: ($tType * $tType) > $tType).
% 0.63/0.46 thf(func_def_0, type, type: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.63/0.46 thf(func_def_1, type, ord: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.63/0.46 thf(func_def_2, type, top: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.63/0.46 thf(func_def_3, type, finite_finite: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.63/0.46 thf(func_def_4, type, semiring_char_0: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.63/0.46 thf(func_def_5, type, order_top: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.63/0.46 thf(func_def_6, type, bNF_Ca1785829860lChain: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > (X0 > X1) > $o))).
% 0.63/0.46 thf(func_def_7, type, bNF_fstOp: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > $o) > (X1 > X2 > $o) > product_prod @ X0 @ X2 > product_prod @ X0 @ X1))).
% 0.63/0.46 thf(func_def_8, type, bNF_pick_middlep: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > $o) > (X1 > X2 > $o) > X0 > X2 > X1))).
% 0.63/0.46 thf(func_def_9, type, bNF_sndOp: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > $o) > (X1 > X2 > $o) > product_prod @ X0 @ X2 > product_prod @ X1 @ X2))).
% 0.63/0.46 thf(func_def_10, type, bNF_Greatest_image2: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ X0 > (X0 > X1) > (X0 > X2) > set @ product_prod @ X1 @ X2))).
% 0.63/0.46 thf(func_def_11, type, node: (n > set @ sum_sum @ t @ dtree > dtree)).
% 0.63/0.46 thf(func_def_12, type, cont: (dtree > set @ sum_sum @ t @ dtree)).
% 0.63/0.46 thf(func_def_13, type, corec: !>[X0: $tType]:(((X0 > n) > (X0 > set @ sum_sum @ t @ sum_sum @ dtree @ X0) > X0 > dtree))).
% 0.63/0.46 thf(func_def_14, type, root: (dtree > n)).
% 0.63/0.46 thf(func_def_15, type, unfold: !>[X0: $tType]:(((X0 > n) > (X0 > set @ sum_sum @ t @ X0) > X0 > dtree))).
% 0.63/0.46 thf(func_def_16, type, finite_finite2: !>[X0: $tType]:((set @ X0 > $o))).
% 0.63/0.46 thf(func_def_17, type, inj_on: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > $o))).
% 0.63/0.46 thf(func_def_18, type, swap: !>[X0: $tType, X1: $tType]:((X0 > X0 > (X0 > X1) > X0 > X1))).
% 0.63/0.46 thf(func_def_19, type, inf_inf: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.63/0.46 thf(func_def_20, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.63/0.46 thf(func_def_21, type, top_top: !>[X0: $tType]:(X0)).
% 0.63/0.46 thf(func_def_22, type, parall1518086719_Nplus: (n > n > n)).
% 0.63/0.46 thf(func_def_23, type, parall1899940088le_par: (product_prod @ dtree @ dtree > dtree)).
% 0.63/0.46 thf(func_def_24, type, parall1914194347_par_c: (product_prod @ dtree @ dtree > set @ sum_sum @ t @ product_prod @ dtree @ dtree)).
% 0.63/0.46 thf(func_def_25, type, parall1914194362_par_r: (product_prod @ dtree @ dtree > n)).
% 0.63/0.46 thf(func_def_26, type, parall556292031_r_rel: (product_prod @ dtree @ dtree > product_prod @ dtree @ dtree > $o)).
% 0.63/0.46 thf(func_def_27, type, product_Pair: !>[X0: $tType, X1: $tType]:((X0 > X1 > product_prod @ X0 @ X1))).
% 0.63/0.46 thf(func_def_28, type, product_curry: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X0 @ X1 > X2) > X0 > X1 > X2))).
% 0.63/0.46 thf(func_def_29, type, produc2004651681e_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 0.63/0.46 thf(func_def_30, type, product_map_prod: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X1) > (X2 > X3) > product_prod @ X0 @ X2 > product_prod @ X1 @ X3))).
% 0.63/0.46 thf(func_def_31, type, product_rec_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 0.63/0.46 thf(func_def_32, type, product_case_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 0.63/0.46 thf(func_def_33, type, product_fst: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 0.63/0.46 thf(func_def_34, type, product_snd: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 0.63/0.46 thf(func_def_35, type, product_swap: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > product_prod @ X1 @ X0))).
% 0.63/0.46 thf(func_def_36, type, product_scomp: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > product_prod @ X1 @ X2) > (X1 > X2 > X3) > X0 > X3))).
% 0.63/0.46 thf(func_def_37, type, type2: !>[X0: $tType]:(itself @ X0)).
% 0.63/0.46 thf(func_def_38, type, inv_image: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > (X1 > X0) > set @ product_prod @ X1 @ X1))).
% 0.63/0.46 thf(func_def_39, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 0.63/0.46 thf(func_def_40, type, pow: !>[X0: $tType]:((set @ X0 > set @ set @ X0))).
% 0.63/0.46 thf(func_def_41, type, image: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > set @ X1))).
% 0.63/0.46 thf(func_def_42, type, vimage: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X1 > set @ X0))).
% 0.63/0.46 thf(func_def_43, type, accp: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > $o))).
% 0.63/0.46 thf(func_def_44, 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))).
% 0.63/0.46 thf(func_def_45, 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))).
% 0.63/0.46 thf(func_def_46, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 0.63/0.46 thf(func_def_47, type, tr1: dtree).
% 0.63/0.46 thf(func_def_48, type, tr2: dtree).
% 0.63/0.46 thf(func_def_52, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.63/0.46 thf(func_def_53, type, vIMP: ($o > $o > $o)).
% 0.63/0.46 thf(func_def_54, type, db0: !>[X0: $tType]:(X0)).
% 0.63/0.46 thf(func_def_55, type, db2: !>[X0: $tType]:(X0)).
% 0.63/0.46 thf(func_def_56, type, db1: !>[X0: $tType]:(X0)).
% 0.63/0.46 thf(func_def_57, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.63/0.46 thf(func_def_58, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.63/0.46 thf(func_def_59, type, vAND: ($o > $o > $o)).
% 0.63/0.46 thf(func_def_60, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.63/0.46 thf(func_def_61, type, db3: !>[X0: $tType]:(X0)).
% 0.63/0.46 thf(func_def_62, type, vOR: ($o > $o > $o)).
% 0.63/0.46 thf(func_def_63, type, vNOT: ($o > $o)).
% 0.63/0.46 thf(func_def_64, type, sK0: !>[X0: $tType, X1: $tType]:(((product_prod @ X0 @ X1 > $o) > X1))).
% 0.63/0.46 thf(func_def_65, type, sK1: !>[X0: $tType, X1: $tType]:(((product_prod @ X0 @ X1 > $o) > X0))).
% 0.63/0.46 thf(func_def_66, type, sK2: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X2 @ product_prod @ X6 @ product_prod @ X1 @ product_prod @ X0 @ X3 > X0))).
% 0.63/0.46 thf(func_def_67, type, sK3: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X2 @ product_prod @ X6 @ product_prod @ X1 @ product_prod @ X0 @ X3 > X2))).
% 0.63/0.46 thf(func_def_68, type, sK4: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X2 @ product_prod @ X6 @ product_prod @ X1 @ product_prod @ X0 @ X3 > X4))).
% 0.63/0.46 thf(func_def_69, type, sK5: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X2 @ product_prod @ X6 @ product_prod @ X1 @ product_prod @ X0 @ X3 > X3))).
% 0.63/0.46 thf(func_def_70, type, sK6: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X2 @ product_prod @ X6 @ product_prod @ X1 @ product_prod @ X0 @ X3 > X6))).
% 0.63/0.46 thf(func_def_71, type, sK7: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X2 @ product_prod @ X6 @ product_prod @ X1 @ product_prod @ X0 @ X3 > X1))).
% 0.63/0.46 thf(func_def_72, type, sK8: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X5 @ product_prod @ X4 @ product_prod @ X2 @ product_prod @ X6 @ product_prod @ X1 @ product_prod @ X0 @ X3 > X5))).
% 0.63/0.46 thf(func_def_73, type, sK9: ((product_prod @ dtree @ dtree > $o) > dtree)).
% 0.63/0.46 thf(func_def_74, type, sK10: ((product_prod @ dtree @ dtree > $o) > dtree)).
% 0.63/0.46 thf(func_def_75, type, sK11: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X2 @ product_prod @ X4 @ product_prod @ X5 @ product_prod @ X3 @ product_prod @ X0 @ X1 > $o) > X0))).
% 0.63/0.46 thf(func_def_76, type, sK12: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X2 @ product_prod @ X4 @ product_prod @ X5 @ product_prod @ X3 @ product_prod @ X0 @ X1 > $o) > X5))).
% 0.63/0.46 thf(func_def_77, type, sK13: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X2 @ product_prod @ X4 @ product_prod @ X5 @ product_prod @ X3 @ product_prod @ X0 @ X1 > $o) > X2))).
% 0.63/0.46 thf(func_def_78, type, sK14: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X2 @ product_prod @ X4 @ product_prod @ X5 @ product_prod @ X3 @ product_prod @ X0 @ X1 > $o) > X1))).
% 0.63/0.46 thf(func_def_79, type, sK15: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X2 @ product_prod @ X4 @ product_prod @ X5 @ product_prod @ X3 @ product_prod @ X0 @ X1 > $o) > X3))).
% 0.63/0.46 thf(func_def_80, type, sK16: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X2 @ product_prod @ X4 @ product_prod @ X5 @ product_prod @ X3 @ product_prod @ X0 @ X1 > $o) > X4))).
% 0.63/0.46 thf(func_def_81, type, sK17: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X1 @ product_prod @ X0 @ X2 > $o) > X2))).
% 0.63/0.46 thf(func_def_82, type, sK18: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X1 @ product_prod @ X0 @ X2 > $o) > X1))).
% 0.63/0.46 thf(func_def_83, type, sK19: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X1 @ product_prod @ X0 @ X2 > $o) > X0))).
% 0.63/0.46 thf(func_def_84, type, sK20: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > set @ product_prod @ X0 @ X1 > X0))).
% 0.63/0.46 thf(func_def_85, type, sK21: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > set @ product_prod @ X0 @ X1 > X1))).
% 0.63/0.46 thf(func_def_86, type, sK22: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X3 @ product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X4 > $o) > X4))).
% 0.63/0.46 thf(func_def_87, type, sK23: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X3 @ product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X4 > $o) > X1))).
% 0.63/0.46 thf(func_def_88, type, sK24: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X3 @ product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X4 > $o) > X2))).
% 0.63/0.46 thf(func_def_89, type, sK25: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X3 @ product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X4 > $o) > X3))).
% 0.63/0.46 thf(func_def_90, type, sK26: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X3 @ product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X4 > $o) > X0))).
% 0.63/0.46 thf(func_def_91, type, sK27: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X2 @ product_prod @ X3 @ product_prod @ X1 @ X0 > $o) > X3))).
% 0.63/0.46 thf(func_def_92, type, sK28: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X2 @ product_prod @ X3 @ product_prod @ X1 @ X0 > $o) > X1))).
% 0.63/0.46 thf(func_def_93, type, sK29: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X2 @ product_prod @ X3 @ product_prod @ X1 @ X0 > $o) > X2))).
% 0.63/0.46 thf(func_def_94, type, sK30: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X2 @ product_prod @ X3 @ product_prod @ X1 @ X0 > $o) > X0))).
% 0.63/0.46 thf(func_def_95, type, sK31: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X1 @ product_prod @ X0 @ X2 > X0))).
% 0.63/0.46 thf(func_def_96, type, sK32: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X1 @ product_prod @ X0 @ X2 > X1))).
% 0.63/0.46 thf(func_def_97, type, sK33: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X1 @ product_prod @ X0 @ X2 > X2))).
% 0.63/0.46 thf(func_def_98, type, sK34: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > X0))).
% 0.63/0.46 thf(func_def_99, type, sK35: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 0.63/0.46 thf(func_def_100, type, sK36: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 0.63/0.46 thf(func_def_101, type, sK37: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X2 @ product_prod @ X0 @ product_prod @ X1 @ product_prod @ X4 @ product_prod @ X5 @ X3 > X3))).
% 0.63/0.46 thf(func_def_102, type, sK38: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X2 @ product_prod @ X0 @ product_prod @ X1 @ product_prod @ X4 @ product_prod @ X5 @ X3 > X5))).
% 0.63/0.46 thf(func_def_103, type, sK39: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X2 @ product_prod @ X0 @ product_prod @ X1 @ product_prod @ X4 @ product_prod @ X5 @ X3 > X0))).
% 0.63/0.46 thf(func_def_104, type, sK40: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X2 @ product_prod @ X0 @ product_prod @ X1 @ product_prod @ X4 @ product_prod @ X5 @ X3 > X2))).
% 0.63/0.46 thf(func_def_105, type, sK41: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X2 @ product_prod @ X0 @ product_prod @ X1 @ product_prod @ X4 @ product_prod @ X5 @ X3 > X4))).
% 0.63/0.46 thf(func_def_106, type, sK42: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X2 @ product_prod @ X0 @ product_prod @ X1 @ product_prod @ X4 @ product_prod @ X5 @ X3 > X1))).
% 0.63/0.46 thf(func_def_107, type, sK43: (n > product_prod @ dtree @ dtree > dtree)).
% 0.63/0.46 thf(func_def_108, type, sK44: (n > product_prod @ dtree @ dtree > dtree)).
% 0.63/0.46 thf(func_def_109, type, sK45: (product_prod @ dtree @ dtree > dtree)).
% 0.63/0.46 thf(func_def_110, type, sK46: (product_prod @ dtree @ dtree > dtree)).
% 0.63/0.46 thf(func_def_111, type, sK47: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X0 > X3))).
% 0.63/0.46 thf(func_def_112, type, sK48: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X0 > X1))).
% 0.63/0.46 thf(func_def_113, type, sK49: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X0 > X2))).
% 0.63/0.46 thf(func_def_114, type, sK50: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X0 > X0))).
% 0.63/0.46 thf(func_def_115, type, sK51: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 0.63/0.46 thf(func_def_116, type, sK52: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 0.63/0.46 thf(func_def_117, type, sK53: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X0))).
% 0.63/0.46 thf(func_def_118, type, sK54: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X1))).
% 0.63/0.46 thf(func_def_119, type, sK55: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X4 @ product_prod @ X1 @ product_prod @ X3 @ X2 > X4))).
% 0.63/0.46 thf(func_def_120, type, sK56: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X4 @ product_prod @ X1 @ product_prod @ X3 @ X2 > X1))).
% 0.63/0.46 thf(func_def_121, type, sK57: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X4 @ product_prod @ X1 @ product_prod @ X3 @ X2 > X2))).
% 0.63/0.46 thf(func_def_122, type, sK58: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X4 @ product_prod @ X1 @ product_prod @ X3 @ X2 > X0))).
% 0.63/0.46 thf(func_def_123, type, sK59: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X0 @ product_prod @ X4 @ product_prod @ X1 @ product_prod @ X3 @ X2 > X3))).
% 0.63/0.46 thf(func_def_124, type, sK60: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X2 @ product_prod @ X5 @ product_prod @ X3 @ product_prod @ X6 @ product_prod @ X4 @ product_prod @ X0 @ X1 > $o) > X5))).
% 0.63/0.46 thf(func_def_125, type, sK61: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X2 @ product_prod @ X5 @ product_prod @ X3 @ product_prod @ X6 @ product_prod @ X4 @ product_prod @ X0 @ X1 > $o) > X6))).
% 0.63/0.46 thf(func_def_126, type, sK62: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X2 @ product_prod @ X5 @ product_prod @ X3 @ product_prod @ X6 @ product_prod @ X4 @ product_prod @ X0 @ X1 > $o) > X2))).
% 0.63/0.46 thf(func_def_127, type, sK63: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X2 @ product_prod @ X5 @ product_prod @ X3 @ product_prod @ X6 @ product_prod @ X4 @ product_prod @ X0 @ X1 > $o) > X3))).
% 0.63/0.46 thf(func_def_128, type, sK64: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X2 @ product_prod @ X5 @ product_prod @ X3 @ product_prod @ X6 @ product_prod @ X4 @ product_prod @ X0 @ X1 > $o) > X1))).
% 0.63/0.46 thf(func_def_129, type, sK65: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X2 @ product_prod @ X5 @ product_prod @ X3 @ product_prod @ X6 @ product_prod @ X4 @ product_prod @ X0 @ X1 > $o) > X4))).
% 0.63/0.46 thf(func_def_130, type, sK66: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X2 @ product_prod @ X5 @ product_prod @ X3 @ product_prod @ X6 @ product_prod @ X4 @ product_prod @ X0 @ X1 > $o) > X0))).
% 0.63/0.46 thf(f1,axiom,(
% 0.63/0.46 (((root @ (unfold @ product_prod @ dtree @ dtree @ parall1914194362_par_r @ parall1914194347_par_c @ (product_Pair @ dtree @ dtree @ tr1 @ tr2)))) = ((parall1914194362_par_r @ (product_Pair @ dtree @ dtree @ tr1 @ tr2))))),
% 0.63/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0__092_060open_062root_A_Iunfold_Apar__r_Apar__c_A_Itr1_M_Atr2_J_J_A_061_Apar__r_A_Itr1_M_Atr2_J_092_060close_062)).
% 0.63/0.46 thf(f6,axiom,(
% 0.63/0.46 ! [X1 : dtree,X0 : dtree] : (((parall1914194362_par_r @ (product_Pair @ dtree @ dtree @ X0 @ X1))) = ((parall1518086719_Nplus @ (root @ X0) @ (root @ X1))))),
% 0.63/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5_par__r_Osimps)).
% 0.63/0.46 thf(f272,conjecture,(
% 0.63/0.46 (((root @ (unfold @ product_prod @ dtree @ dtree @ parall1914194362_par_r @ parall1914194347_par_c @ (product_Pair @ dtree @ dtree @ tr1 @ tr2)))) = ((parall1518086719_Nplus @ (root @ tr1) @ (root @ tr2))))),
% 0.63/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 0.63/0.46 thf(f273,negated_conjecture,(
% 0.63/0.46 ~ (((root @ (unfold @ product_prod @ dtree @ dtree @ parall1914194362_par_r @ parall1914194347_par_c @ (product_Pair @ dtree @ dtree @ tr1 @ tr2)))) = ((parall1518086719_Nplus @ (root @ tr1) @ (root @ tr2))))),
% 0.63/0.46 inference(negated_conjecture,[status(cth)],[f272])).
% 0.63/0.46 thf(f647,plain,(
% 0.63/0.46 (((root @ (unfold @ product_prod @ dtree @ dtree @ parall1914194362_par_r @ parall1914194347_par_c @ (product_Pair @ dtree @ dtree @ tr1 @ tr2)))) != ((parall1518086719_Nplus @ (root @ tr1) @ (root @ tr2))))),
% 0.63/0.46 inference(flattening,[],[f273])).
% 0.63/0.46 thf(f656,plain,(
% 0.63/0.46 ! [X1 : dtree,X0 : dtree] : (((parall1518086719_Nplus @ (root @ X1) @ (root @ X0))) = ((parall1914194362_par_r @ (product_Pair @ dtree @ dtree @ X1 @ X0))))),
% 0.63/0.46 inference(rectify,[],[f6])).
% 0.63/0.46 thf(f703,plain,(
% 0.63/0.46 ! [X0 : dtree,X1 : dtree] : (((parall1914194362_par_r @ (product_Pair @ dtree @ dtree @ X0 @ X1))) = ((parall1518086719_Nplus @ (root @ X0) @ (root @ X1))))),
% 0.63/0.46 inference(rectify,[],[f656])).
% 0.63/0.46 thf(f729,plain,(
% 0.63/0.46 (((root @ (unfold @ product_prod @ dtree @ dtree @ parall1914194362_par_r @ parall1914194347_par_c @ (product_Pair @ dtree @ dtree @ tr1 @ tr2)))) != ((parall1518086719_Nplus @ (root @ tr1) @ (root @ tr2))))),
% 0.63/0.46 inference(cnf_transformation,[],[f647])).
% 0.63/0.46 thf(f741,plain,(
% 0.63/0.46 ( ! [X0 : dtree,X1 : dtree] : ((((parall1914194362_par_r @ (product_Pair @ dtree @ dtree @ X0 @ X1))) = ((parall1518086719_Nplus @ (root @ X0) @ (root @ X1))))) )),
% 0.63/0.46 inference(cnf_transformation,[],[f703])).
% 0.63/0.46 thf(f743,plain,(
% 0.63/0.46 (((root @ (unfold @ product_prod @ dtree @ dtree @ parall1914194362_par_r @ parall1914194347_par_c @ (product_Pair @ dtree @ dtree @ tr1 @ tr2)))) = ((parall1914194362_par_r @ (product_Pair @ dtree @ dtree @ tr1 @ tr2))))),
% 0.63/0.46 inference(cnf_transformation,[],[f1])).
% 0.63/0.46 thf(f763,plain,(
% 0.63/0.46 (((parall1914194362_par_r @ (product_Pair @ dtree @ dtree @ tr1 @ tr2))) != ((parall1518086719_Nplus @ (root @ tr1) @ (root @ tr2))))),
% 0.63/0.46 inference(forward_demodulation,[],[f729,f743])).
% 0.63/0.46 thf(f764,plain,(
% 0.63/0.46 $false),
% 0.63/0.46 inference(forward_subsumption_resolution,[],[f763,f741])).
% 0.63/0.46 % SZS output end Proof for theBenchmark
% 0.63/0.46 % (3711895)------------------------------
% 0.63/0.46 % (3711895)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.46 % (3711895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.46 % (3711895)CaDiCaL version: 2.1.3
% 0.63/0.46 % (3711895)Termination reason: Refutation
% 0.63/0.46 % (3711895)Time elapsed: 0.029 s
% 0.63/0.46 % (3711895)Peak memory usage: 13 MB
% 0.63/0.46 % (3711895)Instructions burned: 56 (million)
% 0.63/0.46 % (3711859)Success in time 0.162 s
% 0.63/0.46 % Vampire exiting
%------------------------------------------------------------------------------