%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : DAT141^1 : 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 : n026.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 07:48:25 AM UTC 2026
% Result : Theorem 2.59s 0.78s
% Output : Refutation 2.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : DAT141^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n026.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 18:04:12 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running higher-order theorem proving
% 0.20/0.28 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
% 0.54/0.44 % (958301)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.54/0.44 % (958310)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2182137086:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.54/0.44 % (958312)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.54/0.44 % (958312)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
% 0.54/0.44 % (958307)lrs+10_16_si=on:nwc=1.5:random_seed=49605060:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.54/0.44 % (958308)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2765253450:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.54/0.44 % (958310)Instruction limit reached!
% 0.54/0.44 % (958310)------------------------------
% 0.54/0.44 % (958310)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.44 % (958310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.44 % (958309)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=1090289252: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)
% 0.54/0.44 % (958310)CaDiCaL version: 2.1.3
% 0.54/0.44 % (958310)Termination reason: Instruction limit
% 0.54/0.44 % (958310)Termination phase: Property scanning
% 0.54/0.44 % (958310)Time elapsed: 0.007 s
% 0.54/0.44 % (958310)Peak memory usage: 10 MB
% 0.54/0.44 % (958310)Instructions burned: 28 (million)
% 0.54/0.44 % (958311)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1814841560:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.54/0.44 % (958312)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=3840498758:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.54/0.44 % (958308)Instruction limit reached!
% 0.54/0.44 % (958308)------------------------------
% 0.54/0.44 % (958308)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.44 % (958308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.44 % (958308)CaDiCaL version: 2.1.3
% 0.54/0.44 % (958308)Termination reason: Instruction limit
% 0.54/0.44 % (958308)Termination phase: shuffling
% 0.54/0.44 % (958308)Time elapsed: 0.002 s
% 0.54/0.44 % (958308)Peak memory usage: 10 MB
% 0.54/0.44 % (958308)Instructions burned: 3 (million)
% 0.54/0.44 % (958307)Instruction limit reached!
% 0.54/0.44 % (958307)------------------------------
% 0.54/0.44 % (958307)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.44 % (958307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.44 % (958307)CaDiCaL version: 2.1.3
% 0.54/0.44 % (958307)Termination reason: Instruction limit
% 0.54/0.44 % (958307)Termination phase: shuffling
% 0.54/0.44 % (958307)Time elapsed: 0.010 s
% 0.54/0.44 % (958307)Peak memory usage: 10 MB
% 0.54/0.44 % (958307)Instructions burned: 19 (million)
% 0.54/0.44 % (958319)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=475180502:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.54/0.44 % (958319)Instruction limit reached!
% 0.54/0.44 % (958319)------------------------------
% 0.54/0.44 % (958319)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.44 % (958319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.44 % (958319)CaDiCaL version: 2.1.3
% 0.54/0.44 % (958319)Termination reason: Instruction limit
% 0.54/0.44 % (958319)Termination phase: shuffling
% 0.54/0.44 % (958319)Time elapsed: 0.001 s
% 0.54/0.44 % (958319)Peak memory usage: 10 MB
% 0.54/0.44 % (958319)Instructions burned: 4 (million)
% 0.54/0.44 % (958306)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1609337847:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.54/0.44 % (958320)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1648344998:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.54/0.44 % (958320)Instruction limit reached!
% 1.23/0.49 % (958320)------------------------------
% 1.23/0.49 % (958320)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.49 % (958320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.49 % (958320)CaDiCaL version: 2.1.3
% 1.23/0.49 % (958320)Termination reason: Instruction limit
% 1.23/0.49 % (958320)Termination phase: shuffling
% 1.23/0.49 % (958320)Time elapsed: 0.004 s
% 1.23/0.49 % (958320)Peak memory usage: 10 MB
% 1.23/0.49 % (958320)Instructions burned: 7 (million)
% 1.23/0.49 % (958321)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.23/0.49 % (958311)Instruction limit reached!
% 1.23/0.49 % (958311)------------------------------
% 1.23/0.49 % (958311)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.49 % (958311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.49 % (958311)CaDiCaL version: 2.1.3
% 1.23/0.49 % (958311)Termination reason: Instruction limit
% 1.23/0.49 % (958311)Termination phase: Property scanning
% 1.23/0.49 % (958311)Time elapsed: 0.039 s
% 1.23/0.49 % (958311)Peak memory usage: 12 MB
% 1.23/0.49 % (958311)Instructions burned: 77 (million)
% 1.23/0.49 % (958326)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
% 1.23/0.49 % (958326)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.23/0.49 % (958326)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3005657924:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.23/0.49 % (958321)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3871893057:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.23/0.49 % (958327)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=4218223440:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.23/0.49 % (958321)Instruction limit reached!
% 1.23/0.49 % (958321)------------------------------
% 1.23/0.49 % (958321)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.49 % (958321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.49 % (958321)CaDiCaL version: 2.1.3
% 1.23/0.49 % (958321)Termination reason: Instruction limit
% 1.23/0.49 % (958321)Termination phase: shuffling
% 1.23/0.49 % (958321)Time elapsed: 0.007 s
% 1.23/0.49 % (958321)Peak memory usage: 10 MB
% 1.23/0.49 % (958321)Instructions burned: 8 (million)
% 1.23/0.49 % (958324)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=681830691:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.23/0.49 % (958326)Instruction limit reached!
% 1.23/0.49 % (958326)------------------------------
% 1.23/0.49 % (958326)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.49 % (958326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.49 % (958326)CaDiCaL version: 2.1.3
% 1.23/0.49 % (958326)Termination reason: Instruction limit
% 1.23/0.49 % (958326)Termination phase: shuffling
% 1.23/0.49 % (958326)Time elapsed: 0.014 s
% 1.23/0.49 % (958326)Peak memory usage: 10 MB
% 1.23/0.49 % (958326)Instructions burned: 28 (million)
% 1.23/0.49 % (958324)Instruction limit reached!
% 1.23/0.49 % (958324)------------------------------
% 1.23/0.49 % (958324)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.49 % (958324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.49 % (958324)CaDiCaL version: 2.1.3
% 1.23/0.49 % (958324)Termination reason: Instruction limit
% 1.23/0.49 % (958324)Termination phase: shuffling
% 1.23/0.49 % (958324)Time elapsed: 0.007 s
% 1.23/0.49 % (958324)Peak memory usage: 11 MB
% 1.23/0.49 % (958324)Instructions burned: 13 (million)
% 1.23/0.49 % (958327)Instruction limit reached!
% 1.23/0.49 % (958327)------------------------------
% 1.23/0.49 % (958327)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.49 % (958327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.52 % (958327)CaDiCaL version: 2.1.3
% 1.23/0.52 % (958327)Termination reason: Instruction limit
% 1.23/0.52 % (958327)Termination phase: Preprocessing 1
% 1.23/0.52 % (958327)Time elapsed: 0.022 s
% 1.23/0.52 % (958327)Peak memory usage: 11 MB
% 1.23/0.52 % (958327)Instructions burned: 87 (million)
% 1.23/0.52 % (958333)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.23/0.52 % (958332)lrs+10_1_si=on:cs=on:random_seed=3316274058:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.23/0.52 % (958333)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=1443869215:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.23/0.52 % (958312)Instruction limit reached!
% 1.23/0.52 % (958312)------------------------------
% 1.23/0.52 % (958312)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.52 % (958312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.52 % (958312)CaDiCaL version: 2.1.3
% 1.23/0.52 % (958312)Termination reason: Instruction limit
% 1.23/0.52 % (958312)Termination phase: Saturation
% 1.23/0.52 % (958312)Time elapsed: 0.078 s
% 1.23/0.52 % (958312)Peak memory usage: 14 MB
% 1.23/0.52 % (958312)Instructions burned: 157 (million)
% 1.23/0.52 % (958333)Instruction limit reached!
% 1.23/0.52 % (958333)------------------------------
% 1.23/0.52 % (958333)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.52 % (958333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.52 % (958333)CaDiCaL version: 2.1.3
% 1.23/0.52 % (958333)Termination reason: Instruction limit
% 1.23/0.52 % (958333)Termination phase: shuffling
% 1.23/0.52 % (958333)Time elapsed: 0.002 s
% 1.23/0.52 % (958333)Peak memory usage: 10 MB
% 1.23/0.52 % (958333)Instructions burned: 3 (million)
% 1.23/0.52 % (958334)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=820853016:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.23/0.52 % (958332)Instruction limit reached!
% 1.23/0.52 % (958332)------------------------------
% 1.23/0.52 % (958332)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.52 % (958332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.52 % (958332)CaDiCaL version: 2.1.3
% 1.23/0.52 % (958332)Termination reason: Instruction limit
% 1.23/0.52 % (958332)Termination phase: shuffling
% 1.23/0.52 % (958332)Time elapsed: 0.005 s
% 1.23/0.52 % (958332)Peak memory usage: 10 MB
% 1.23/0.52 % (958332)Instructions burned: 9 (million)
% 1.23/0.52 % (958335)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3877347853:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.23/0.52 % (958306)Instruction limit reached!
% 1.23/0.52 % (958306)------------------------------
% 1.23/0.52 % (958306)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.52 % (958306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.52 % (958306)CaDiCaL version: 2.1.3
% 1.23/0.52 % (958306)Termination reason: Instruction limit
% 1.23/0.52 % (958306)Termination phase: Function definition elimination
% 1.23/0.52 % (958306)Time elapsed: 0.075 s
% 1.23/0.52 % (958306)Peak memory usage: 12 MB
% 1.23/0.52 % (958306)Instructions burned: 87 (million)
% 1.23/0.52 % (958338)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=918163894:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.23/0.52 % (958339)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=522003333:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.23/0.52 % (958341)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3686552129:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.23/0.52 % (958334)Instruction limit reached!
% 1.23/0.52 % (958334)------------------------------
% 1.23/0.52 % (958334)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.52 % (958334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.52 % (958334)CaDiCaL version: 2.1.3
% 1.23/0.52 % (958334)Termination reason: Instruction limit
% 1.23/0.52 % (958334)Termination phase: Unused predicate definition removal
% 1.23/0.58 % (958334)Time elapsed: 0.020 s
% 1.23/0.58 % (958334)Peak memory usage: 11 MB
% 1.23/0.58 % (958334)Instructions burned: 39 (million)
% 1.23/0.58 % (958339)Instruction limit reached!
% 1.23/0.58 % (958339)------------------------------
% 1.23/0.58 % (958339)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.58 % (958339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.58 % (958339)CaDiCaL version: 2.1.3
% 1.23/0.58 % (958339)Termination reason: Instruction limit
% 1.23/0.58 % (958339)Termination phase: shuffling
% 1.23/0.58 % (958339)Time elapsed: 0.008 s
% 1.23/0.58 % (958339)Peak memory usage: 10 MB
% 1.23/0.58 % (958339)Instructions burned: 15 (million)
% 1.23/0.58 % (958338)Instruction limit reached!
% 1.23/0.58 % (958338)------------------------------
% 1.23/0.58 % (958338)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.58 % (958338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.58 % (958338)CaDiCaL version: 2.1.3
% 1.23/0.58 % (958338)Termination reason: Instruction limit
% 1.23/0.58 % (958338)Termination phase: Property scanning
% 1.23/0.58 % (958338)Time elapsed: 0.013 s
% 1.23/0.58 % (958338)Peak memory usage: 10 MB
% 1.23/0.58 % (958338)Instructions burned: 25 (million)
% 1.23/0.58 % (958343)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1181686701:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.23/0.58 % (958347)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=423032862: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)
% 1.23/0.58 % (958343)Instruction limit reached!
% 1.23/0.58 % (958343)------------------------------
% 1.23/0.58 % (958343)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.58 % (958343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.58 % (958343)CaDiCaL version: 2.1.3
% 1.23/0.58 % (958343)Termination reason: Instruction limit
% 1.23/0.58 % (958343)Termination phase: Property scanning
% 1.23/0.58 % (958343)Time elapsed: 0.010 s
% 1.23/0.58 % (958343)Peak memory usage: 11 MB
% 1.23/0.58 % (958343)Instructions burned: 20 (million)
% 1.23/0.58 % (958347)Instruction limit reached!
% 1.23/0.58 % (958347)------------------------------
% 1.23/0.58 % (958347)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.58 % (958347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.58 % (958347)CaDiCaL version: 2.1.3
% 1.23/0.58 % (958347)Termination reason: Instruction limit
% 1.23/0.58 % (958347)Termination phase: shuffling
% 1.23/0.58 % (958347)Time elapsed: 0.003 s
% 1.23/0.58 % (958347)Peak memory usage: 10 MB
% 1.23/0.58 % (958347)Instructions burned: 4 (million)
% 1.23/0.58 % (958348)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1316235837:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.23/0.58 % (958350)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3557349666:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.23/0.58 % (958348)Instruction limit reached!
% 1.23/0.58 % (958348)------------------------------
% 1.23/0.58 % (958348)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.23/0.58 % (958348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.23/0.58 % (958348)CaDiCaL version: 2.1.3
% 1.23/0.58 % (958348)Termination reason: Instruction limit
% 1.23/0.58 % (958348)Termination phase: shuffling
% 1.23/0.58 % (958348)Time elapsed: 0.013 s
% 1.23/0.58 % (958348)Peak memory usage: 10 MB
% 1.23/0.58 % (958348)Instructions burned: 26 (million)
% 1.23/0.58 % (958354)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
% 1.23/0.58 % (958354)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.23/0.58 % (958352)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=605561412:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.23/0.58 % (958350)Instruction limit reached!
% 1.23/0.58 % (958350)------------------------------
% 1.23/0.58 % (958350)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.27/0.67 % (958350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/0.67 % (958350)CaDiCaL version: 2.1.3
% 2.27/0.67 % (958350)Termination reason: Instruction limit
% 2.27/0.67 % (958350)Termination phase: Property scanning
% 2.27/0.67 % (958350)Time elapsed: 0.012 s
% 2.27/0.67 % (958350)Peak memory usage: 10 MB
% 2.27/0.67 % (958350)Instructions burned: 24 (million)
% 2.27/0.67 % (958354)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=757416714:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.27/0.67 % (958335)Instruction limit reached!
% 2.27/0.67 % (958335)------------------------------
% 2.27/0.67 % (958335)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.27/0.67 % (958335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/0.67 % (958335)CaDiCaL version: 2.1.3
% 2.27/0.67 % (958335)Termination reason: Instruction limit
% 2.27/0.67 % (958335)Termination phase: Saturation
% 2.27/0.67 % (958335)Time elapsed: 0.069 s
% 2.27/0.67 % (958335)Peak memory usage: 16 MB
% 2.27/0.67 % (958335)Instructions burned: 252 (million)
% 2.27/0.67 % (958354)Instruction limit reached!
% 2.27/0.67 % (958354)------------------------------
% 2.27/0.67 % (958354)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.27/0.67 % (958354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/0.67 % (958354)CaDiCaL version: 2.1.3
% 2.27/0.67 % (958354)Termination reason: Instruction limit
% 2.27/0.67 % (958354)Termination phase: shuffling
% 2.27/0.67 % (958354)Time elapsed: 0.008 s
% 2.27/0.67 % (958354)Peak memory usage: 10 MB
% 2.27/0.67 % (958354)Instructions burned: 15 (million)
% 2.27/0.67 % (958356)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.27/0.67 % (958356)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=2041276325:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 2.27/0.67 % (958358)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=3693458446:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 2.27/0.67 % (958360)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=4285216195:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 2.27/0.67 % (958356)Instruction limit reached!
% 2.27/0.67 % (958356)------------------------------
% 2.27/0.67 % (958356)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.27/0.67 % (958356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/0.67 % (958356)CaDiCaL version: 2.1.3
% 2.27/0.67 % (958356)Termination reason: Instruction limit
% 2.27/0.67 % (958356)Termination phase: shuffling
% 2.27/0.67 % (958356)Time elapsed: 0.005 s
% 2.27/0.67 % (958356)Peak memory usage: 10 MB
% 2.27/0.67 % (958356)Instructions burned: 9 (million)
% 2.27/0.67 % (958360)Instruction limit reached!
% 2.27/0.67 % (958360)------------------------------
% 2.27/0.67 % (958360)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.27/0.67 % (958360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/0.67 % (958360)CaDiCaL version: 2.1.3
% 2.27/0.67 % (958360)Termination reason: Instruction limit
% 2.27/0.67 % (958360)Termination phase: shuffling
% 2.27/0.67 % (958360)Time elapsed: 0.003 s
% 2.27/0.67 % (958360)Peak memory usage: 10 MB
% 2.27/0.67 % (958360)Instructions burned: 11 (million)
% 2.27/0.67 % (958361)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=30951037:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.27/0.67 % (958352)Instruction limit reached!
% 2.27/0.67 % (958352)------------------------------
% 2.27/0.67 % (958352)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.27/0.67 % (958352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.27/0.67 % (958352)CaDiCaL version: 2.1.3
% 2.27/0.67 % (958352)Termination reason: Instruction limit
% 2.27/0.67 % (958352)Termination phase: Property scanning
% 2.27/0.67 % (958352)Time elapsed: 0.031 s
% 2.27/0.67 % (958352)Peak memory usage: 12 MB
% 2.27/0.67 % (958352)Instructions burned: 60 (million)
% 2.27/0.67 % (958366)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=259982464:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.59/0.73 % (958358)Instruction limit reached!
% 2.59/0.73 % (958358)------------------------------
% 2.59/0.73 % (958358)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.59/0.73 % (958358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/0.73 % (958358)CaDiCaL version: 2.1.3
% 2.59/0.73 % (958358)Termination reason: Instruction limit
% 2.59/0.73 % (958358)Termination phase: shuffling
% 2.59/0.73 % (958358)Time elapsed: 0.016 s
% 2.59/0.73 % (958358)Peak memory usage: 10 MB
% 2.59/0.73 % (958358)Instructions burned: 32 (million)
% 2.59/0.73 % (958365)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=562104607:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 2.59/0.73 % (958361)Instruction limit reached!
% 2.59/0.73 % (958361)------------------------------
% 2.59/0.73 % (958361)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.59/0.73 % (958361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/0.73 % (958361)CaDiCaL version: 2.1.3
% 2.59/0.73 % (958361)Termination reason: Instruction limit
% 2.59/0.73 % (958361)Termination phase: shuffling
% 2.59/0.73 % (958361)Time elapsed: 0.012 s
% 2.59/0.73 % (958361)Peak memory usage: 10 MB
% 2.59/0.73 % (958361)Instructions burned: 24 (million)
% 2.59/0.73 % (958368)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1850339416:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.59/0.73 % (958365)Instruction limit reached!
% 2.59/0.73 % (958365)------------------------------
% 2.59/0.73 % (958365)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.59/0.73 % (958365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/0.73 % (958365)CaDiCaL version: 2.1.3
% 2.59/0.73 % (958365)Termination reason: Instruction limit
% 2.59/0.73 % (958365)Termination phase: Property scanning
% 2.59/0.73 % (958365)Time elapsed: 0.010 s
% 2.59/0.73 % (958365)Peak memory usage: 10 MB
% 2.59/0.73 % (958365)Instructions burned: 20 (million)
% 2.59/0.73 % (958370)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=2040265988:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.59/0.73 % (958372)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2470212594:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.59/0.73 % (958374)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.59/0.73 % (958374)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=312948548:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.59/0.73 % (958374)Instruction limit reached!
% 2.59/0.73 % (958374)------------------------------
% 2.59/0.73 % (958374)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.59/0.73 % (958374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/0.73 % (958374)CaDiCaL version: 2.1.3
% 2.59/0.73 % (958374)Termination reason: Instruction limit
% 2.59/0.73 % (958374)Termination phase: shuffling
% 2.59/0.73 % (958374)Time elapsed: 0.005 s
% 2.59/0.73 % (958374)Peak memory usage: 10 MB
% 2.59/0.73 % (958374)Instructions burned: 9 (million)
% 2.59/0.73 % (958372)Instruction limit reached!
% 2.59/0.73 % (958372)------------------------------
% 2.59/0.73 % (958372)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.59/0.73 % (958372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/0.73 % (958372)CaDiCaL version: 2.1.3
% 2.59/0.73 % (958372)Termination reason: Instruction limit
% 2.59/0.73 % (958372)Termination phase: Preprocessing 3
% 2.59/0.73 % (958372)Time elapsed: 0.021 s
% 2.59/0.73 % (958372)Peak memory usage: 11 MB
% 2.59/0.73 % (958372)Instructions burned: 42 (million)
% 2.59/0.73 % (958378)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=3770582591:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.59/0.73 % (958368)Instruction limit reached!
% 2.59/0.73 % (958368)------------------------------
% 2.59/0.73 % (958368)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.59/0.73 % (958368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/0.78 % (958368)CaDiCaL version: 2.1.3
% 2.59/0.78 % (958368)Termination reason: Instruction limit
% 2.59/0.78 % (958368)Termination phase: Saturation
% 2.59/0.78 % (958368)Time elapsed: 0.045 s
% 2.59/0.78 % (958368)Peak memory usage: 13 MB
% 2.59/0.78 % (958368)Instructions burned: 143 (million)
% 2.59/0.78 % (958379)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=1387541109:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/169Mi)
% 2.59/0.78 % (958381)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.59/0.78 % (958381)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=1738699249:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.59/0.78 % (958381)Instruction limit reached!
% 2.59/0.78 % (958381)------------------------------
% 2.59/0.78 % (958381)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.59/0.78 % (958381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/0.78 % (958381)CaDiCaL version: 2.1.3
% 2.59/0.78 % (958381)Termination reason: Instruction limit
% 2.59/0.78 % (958381)Termination phase: shuffling
% 2.59/0.78 % (958381)Time elapsed: 0.002 s
% 2.59/0.78 % (958381)Peak memory usage: 10 MB
% 2.59/0.78 % (958381)Instructions burned: 9 (million)
% 2.59/0.78 % (958384)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=4091988682:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2996 on theBenchmark for (2996ds/22Mi)
% 2.59/0.78 % (958384)Instruction limit reached!
% 2.59/0.78 % (958384)------------------------------
% 2.59/0.78 % (958384)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.59/0.78 % (958384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/0.78 % (958384)CaDiCaL version: 2.1.3
% 2.59/0.78 % (958384)Termination reason: Instruction limit
% 2.59/0.78 % (958384)Termination phase: Property scanning
% 2.59/0.78 % (958384)Time elapsed: 0.006 s
% 2.59/0.78 % (958384)Peak memory usage: 10 MB
% 2.59/0.78 % (958384)Instructions burned: 25 (million)
% 2.59/0.78 % (958386)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=464332440:i=19:add=on:rtra=on_2996 on theBenchmark for (2996ds/19Mi)
% 2.59/0.78 % (958386)Instruction limit reached!
% 2.59/0.78 % (958386)------------------------------
% 2.59/0.78 % (958386)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.59/0.78 % (958386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/0.78 % (958386)CaDiCaL version: 2.1.3
% 2.59/0.78 % (958386)Termination reason: Instruction limit
% 2.59/0.78 % (958386)Termination phase: shuffling
% 2.59/0.78 % (958386)Time elapsed: 0.006 s
% 2.59/0.78 % (958386)Peak memory usage: 10 MB
% 2.59/0.78 % (958386)Instructions burned: 21 (million)
% 2.59/0.78 % (958388)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=2685384572:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/316Mi)
% 2.59/0.78 % (958370)Instruction limit reached!
% 2.59/0.78 % (958370)------------------------------
% 2.59/0.78 % (958370)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.59/0.78 % (958370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/0.78 % (958370)CaDiCaL version: 2.1.3
% 2.59/0.78 % (958370)Termination reason: Instruction limit
% 2.59/0.78 % (958370)Termination phase: Saturation
% 2.59/0.78 % (958370)Time elapsed: 0.101 s
% 2.59/0.78 % (958370)Peak memory usage: 14 MB
% 2.59/0.78 % (958370)Instructions burned: 193 (million)
% 2.59/0.78 % (958390)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=2048981455: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)
% 2.59/0.78 % (958341)Instruction limit reached!
% 2.59/0.78 % (958341)------------------------------
% 2.59/0.78 % (958341)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.59/0.78 % (958341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/0.78 % (958341)CaDiCaL version: 2.1.3
% 2.59/0.78 % (958341)Termination reason: Instruction limit
% 2.59/0.78 % (958341)Termination phase: Saturation
% 2.59/0.78 % (958341)Time elapsed: 0.219 s
% 2.59/0.78 % (958341)Peak memory usage: 15 MB
% 2.59/0.78 % (958341)Instructions burned: 328 (million)
% 2.59/0.78 % (958379)Instruction limit reached!
% 2.59/0.78 % (958379)------------------------------
% 2.59/0.78 % (958379)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.59/0.78 % (958379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/0.78 % (958379)CaDiCaL version: 2.1.3
% 2.59/0.78 % (958379)Termination reason: Instruction limit
% 2.59/0.78 % (958379)Termination phase: Saturation
% 2.59/0.78 % (958379)Time elapsed: 0.088 s
% 2.59/0.78 % (958379)Peak memory usage: 15 MB
% 2.59/0.78 % (958379)Instructions burned: 169 (million)
% 2.59/0.78 % (958378)Instruction limit reached!
% 2.59/0.78 % (958378)------------------------------
% 2.59/0.78 % (958378)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.59/0.78 % (958378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/0.78 % (958378)CaDiCaL version: 2.1.3
% 2.59/0.78 % (958378)Termination reason: Instruction limit
% 2.59/0.78 % (958378)Termination phase: Saturation
% 2.59/0.78 % (958378)Time elapsed: 0.099 s
% 2.59/0.78 % (958378)Peak memory usage: 15 MB
% 2.59/0.78 % (958378)Instructions burned: 182 (million)
% 2.59/0.78 % (958392)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=3010142878: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)
% 2.59/0.78 % (958393)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=4194676944:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 2.59/0.78 % (958394)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=993226497:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2996 on theBenchmark for (2996ds/21Mi)
% 2.59/0.78 % (958392)Instruction limit reached!
% 2.59/0.78 % (958392)------------------------------
% 2.59/0.78 % (958392)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.59/0.78 % (958392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/0.78 % (958392)CaDiCaL version: 2.1.3
% 2.59/0.78 % (958392)Termination reason: Instruction limit
% 2.59/0.78 % (958392)Termination phase: SInE selection
% 2.59/0.78 % (958392)Time elapsed: 0.022 s
% 2.59/0.78 % (958392)Peak memory usage: 11 MB
% 2.59/0.78 % (958392)Instructions burned: 45 (million)
% 2.59/0.78 % (958309)Instruction limit reached!
% 2.59/0.78 % (958309)------------------------------
% 2.59/0.78 % (958309)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.59/0.78 % (958309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/0.78 % (958309)CaDiCaL version: 2.1.3
% 2.59/0.78 % (958309)Termination reason: Instruction limit
% 2.59/0.78 % (958309)Termination phase: Saturation
% 2.59/0.78 % (958309)Time elapsed: 0.366 s
% 2.59/0.78 % (958309)Peak memory usage: 17 MB
% 2.59/0.78 % (958309)Instructions burned: 634 (million)
% 2.59/0.78 % (958394)Instruction limit reached!
% 2.59/0.78 % (958394)------------------------------
% 2.59/0.78 % (958394)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.59/0.78 % (958394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/0.78 % (958394)CaDiCaL version: 2.1.3
% 2.59/0.78 % (958394)Termination reason: Instruction limit
% 2.59/0.78 % (958394)Termination phase: Property scanning
% 2.59/0.78 % (958394)Time elapsed: 0.011 s
% 2.59/0.78 % (958394)Peak memory usage: 10 MB
% 2.59/0.78 % (958394)Instructions burned: 22 (million)
% 2.59/0.78 % (958398)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.59/0.78 % (958398)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=2954654207:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/200Mi)
% 2.59/0.78 % (958399)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2543851561:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2995 on theBenchmark for (2995ds/13Mi)
% 2.59/0.78 % (958400)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=3313771058:i=66:s2at=3:nm=2:rtra=on:rawr=on_2995 on theBenchmark for (2995ds/66Mi)
% 2.59/0.78 % (958388)Instruction limit reached!
% 2.59/0.78 % (958388)------------------------------
% 2.59/0.78 % (958388)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.59/0.78 % (958388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/0.78 % (958388)CaDiCaL version: 2.1.3
% 2.59/0.78 % (958388)Termination reason: Instruction limit
% 2.59/0.78 % (958388)Termination phase: Saturation
% 2.59/0.78 % (958388)Time elapsed: 0.092 s
% 2.59/0.78 % (958388)Peak memory usage: 17 MB
% 2.59/0.78 % (958388)Instructions burned: 319 (million)
% 2.59/0.78 % (958399)Instruction limit reached!
% 2.59/0.78 % (958399)------------------------------
% 2.59/0.78 % (958399)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.59/0.78 % (958399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/0.78 % (958399)CaDiCaL version: 2.1.3
% 2.59/0.78 % (958399)Termination reason: Instruction limit
% 2.59/0.78 % (958399)Termination phase: shuffling
% 2.59/0.78 % (958399)Time elapsed: 0.007 s
% 2.59/0.78 % (958399)Peak memory usage: 10 MB
% 2.59/0.78 % (958399)Instructions burned: 14 (million)
% 2.59/0.78 % (958404)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=2634926520:i=51:fsr=off:rtra=on_2995 on theBenchmark for (2995ds/51Mi)
% 2.59/0.78 % (958405)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=1117811640:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/31Mi)
% 2.59/0.78 % (958404)Instruction limit reached!
% 2.59/0.78 % (958404)------------------------------
% 2.59/0.78 % (958404)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.59/0.78 % (958404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/0.78 % (958404)CaDiCaL version: 2.1.3
% 2.59/0.78 % (958404)Termination reason: Instruction limit
% 2.59/0.78 % (958404)Termination phase: Preprocessing 3
% 2.59/0.78 % (958404)Time elapsed: 0.014 s
% 2.59/0.78 % (958404)Peak memory usage: 11 MB
% 2.59/0.78 % (958404)Instructions burned: 53 (million)
% 2.59/0.78 % (958400)Instruction limit reached!
% 2.59/0.78 % (958400)------------------------------
% 2.59/0.78 % (958400)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.59/0.78 % (958400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/0.78 % (958400)CaDiCaL version: 2.1.3
% 2.59/0.78 % (958400)Termination reason: Instruction limit
% 2.59/0.78 % (958400)Termination phase: Property scanning
% 2.59/0.78 % (958400)Time elapsed: 0.031 s
% 2.59/0.78 % (958400)Peak memory usage: 11 MB
% 2.59/0.78 % (958400)Instructions burned: 67 (million)
% 2.59/0.78 % (958408)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=3484175434:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2995 on theBenchmark for (2995ds/137Mi)
% 2.59/0.78 % (958405)Instruction limit reached!
% 2.59/0.78 % (958405)------------------------------
% 2.59/0.78 % (958405)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.59/0.78 % (958405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/0.78 % (958405)CaDiCaL version: 2.1.3
% 2.59/0.78 % (958405)Termination reason: Instruction limit
% 2.59/0.78 % (958405)Termination phase: shuffling
% 2.59/0.78 % (958405)Time elapsed: 0.015 s
% 2.59/0.78 % (958405)Peak memory usage: 10 MB
% 2.59/0.78 % (958405)Instructions burned: 32 (million)
% 2.59/0.78 % (958393) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-958301-958393"...
% 2.59/0.78 % (958393)...printing done.
% 2.59/0.78 % (958393)Refutation found. Thanks to Tanya!
% 2.59/0.78 % SZS status Theorem for theBenchmark
% 2.59/0.78 % SZS output start Proof for theBenchmark
% 2.59/0.78 thf(type_def_5, type, coinductive_llist: $tType > $tType).
% 2.59/0.78 thf(type_def_6, type, product_unit: $tType).
% 2.59/0.78 thf(type_def_7, type, product_prod: ($tType * $tType) > $tType).
% 2.59/0.78 thf(type_def_8, type, set: $tType > $tType).
% 2.59/0.78 thf(type_def_9, type, nat: $tType).
% 2.59/0.78 thf(type_def_10, type, itself: $tType > $tType).
% 2.59/0.78 thf(type_def_11, type, a: $tType).
% 2.59/0.78 thf(type_def_12, type, sTfun: ($tType * $tType) > $tType).
% 2.59/0.78 thf(func_def_0, type, type: !>[X0: $tType]:((itself @ X0 > $o))).
% 2.59/0.78 thf(func_def_1, type, lattice: !>[X0: $tType]:((itself @ X0 > $o))).
% 2.59/0.78 thf(func_def_2, type, semilattice_inf: !>[X0: $tType]:((itself @ X0 > $o))).
% 2.59/0.78 thf(func_def_3, type, bNF_Grp: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > X0 > X1 > $o))).
% 2.59/0.78 thf(func_def_4, type, bNF_convol: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X0 > X2) > X0 > product_prod @ X1 @ X2))).
% 2.59/0.78 thf(func_def_5, type, bNF_csquare: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((set @ X0 > (X1 > X2) > (X3 > X2) > (X0 > X1) > (X0 > X3) > $o))).
% 2.59/0.78 thf(func_def_6, type, bNF_fstOp: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > $o) > (X1 > X2 > $o) > product_prod @ X0 @ X2 > product_prod @ X0 @ X1))).
% 2.59/0.78 thf(func_def_7, type, bNF_pick_middlep: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > $o) > (X1 > X2 > $o) > X0 > X2 > X1))).
% 2.59/0.78 thf(func_def_8, type, bNF_sndOp: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > $o) > (X1 > X2 > $o) > product_prod @ X0 @ X2 > product_prod @ X1 @ X2))).
% 2.59/0.78 thf(func_def_9, type, bNF_Greatest_image2: !>[X0: $tType, X1: $tType, X2: $tType]:((set @ X0 > (X0 > X1) > (X0 > X2) > set @ product_prod @ X1 @ X2))).
% 2.59/0.78 thf(func_def_10, type, basic_BNF_size_prod: !>[X0: $tType, X1: $tType]:(((X0 > nat) > (X1 > nat) > product_prod @ X0 @ X1 > nat))).
% 2.59/0.78 thf(func_def_11, type, basic_pred_fun: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X1 > $o) > (X0 > X1) > $o))).
% 2.59/0.78 thf(func_def_12, type, coinductive_LNil: !>[X0: $tType]:(coinductive_llist @ X0)).
% 2.59/0.78 thf(func_def_13, type, coinductive_lhd: !>[X0: $tType]:((coinductive_llist @ X0 > X0))).
% 2.59/0.78 thf(func_def_14, type, coinductive_ltl: !>[X0: $tType]:((coinductive_llist @ X0 > coinductive_llist @ X0))).
% 2.59/0.78 thf(func_def_15, type, coindu1441602521_llist: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X0 > X1) > (X0 > X0) > X0 > coinductive_llist @ X1))).
% 2.59/0.78 thf(func_def_16, type, comp: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X2 > X0) > X2 > X1))).
% 2.59/0.78 thf(func_def_17, type, id: !>[X0: $tType]:((X0 > X0))).
% 2.59/0.78 thf(func_def_18, type, fun_reduction_pair: !>[X0: $tType]:((product_prod @ set @ product_prod @ X0 @ X0 @ set @ product_prod @ X0 @ X0 > $o))).
% 2.59/0.78 thf(func_def_19, 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))).
% 2.59/0.78 thf(func_def_20, type, the: !>[X0: $tType]:(((X0 > $o) > X0))).
% 2.59/0.78 thf(func_def_21, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 2.59/0.78 thf(func_def_22, type, inf_inf: !>[X0: $tType]:((X0 > X0 > X0))).
% 2.59/0.78 thf(func_def_23, type, product_Pair: !>[X0: $tType, X1: $tType]:((X0 > X1 > product_prod @ X0 @ X1))).
% 2.59/0.78 thf(func_def_24, type, product_apfst: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > product_prod @ X0 @ X2 > product_prod @ X1 @ X2))).
% 2.59/0.78 thf(func_def_25, type, product_apsnd: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > product_prod @ X2 @ X0 > product_prod @ X2 @ X1))).
% 2.59/0.78 thf(func_def_26, type, produc2004651681e_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 2.59/0.78 thf(func_def_27, type, product_map_prod: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X1) > (X2 > X3) > product_prod @ X0 @ X2 > product_prod @ X1 @ X3))).
% 2.59/0.78 thf(func_def_28, type, product_rec_bool: !>[X0: $tType]:((X0 > X0 > $o > X0))).
% 2.59/0.78 thf(func_def_29, type, product_rec_set_bool: !>[X0: $tType]:((X0 > X0 > $o > X0 > $o))).
% 2.59/0.78 thf(func_def_30, type, product_rec_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 2.59/0.78 thf(func_def_31, type, product_rec_set_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2 > $o))).
% 2.59/0.78 thf(func_def_32, type, product_rec_set_unit: !>[X0: $tType]:((X0 > product_unit > X0 > $o))).
% 2.59/0.78 thf(func_def_33, type, product_rec_unit: !>[X0: $tType]:((X0 > product_unit > X0))).
% 2.59/0.78 thf(func_def_34, type, product_case_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 2.59/0.78 thf(func_def_35, type, product_fst: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 2.59/0.78 thf(func_def_36, type, product_snd: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 2.59/0.78 thf(func_def_37, type, product_swap: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > product_prod @ X1 @ X0))).
% 2.59/0.78 thf(func_def_38, type, product_scomp: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > product_prod @ X1 @ X2) > (X1 > X2 > X3) > X0 > X3))).
% 2.59/0.78 thf(func_def_39, type, type2: !>[X0: $tType]:(itself @ X0)).
% 2.59/0.78 thf(func_def_40, type, iso_tu2017585022assist: !>[X0: $tType, X1: $tType]:((((X0 > X0) > X1 > X1) > (X1 > X0) > $o))).
% 2.59/0.78 thf(func_def_41, type, iso_tu2011167877assist: !>[X0: $tType, X1: $tType]:((((X0 > X0) > X1 > X1) > (X1 > X0) > X1 > (X0 > X0) > X1 > X0 > $o))).
% 2.59/0.78 thf(func_def_42, type, inv_image: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > (X1 > X0) > set @ product_prod @ X1 @ X1))).
% 2.59/0.78 thf(func_def_43, type, relcompp: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > $o) > (X1 > X2 > $o) > X0 > X2 > $o))).
% 2.59/0.78 thf(func_def_44, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 2.59/0.78 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))).
% 2.59/0.78 thf(func_def_46, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 2.59/0.78 thf(func_def_47, type, xs: coinductive_llist @ a).
% 2.59/0.78 thf(func_def_49, type, vAND: ($o > $o > $o)).
% 2.59/0.78 thf(func_def_50, type, db5: !>[X0: $tType]:(X0)).
% 2.59/0.78 thf(func_def_51, type, db1: !>[X0: $tType]:(X0)).
% 2.59/0.78 thf(func_def_52, type, db3: !>[X0: $tType]:(X0)).
% 2.59/0.78 thf(func_def_53, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 2.59/0.78 thf(func_def_54, type, db2: !>[X0: $tType]:(X0)).
% 2.59/0.78 thf(func_def_55, type, db0: !>[X0: $tType]:(X0)).
% 2.59/0.78 thf(func_def_56, type, db4: !>[X0: $tType]:(X0)).
% 2.59/0.78 thf(func_def_57, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 2.59/0.78 thf(func_def_60, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 2.59/0.78 thf(func_def_61, type, vIMP: ($o > $o > $o)).
% 2.59/0.78 thf(func_def_62, type, vNOT: ($o > $o)).
% 2.59/0.78 thf(func_def_63, type, sK0: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 2.59/0.78 thf(func_def_64, type, sK1: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > $o) > (X1 > X0 > X2) > (X2 > $o) > X0))).
% 2.59/0.78 thf(func_def_65, type, sK2: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > $o) > (X1 > X0 > X2) > (X2 > $o) > X1))).
% 2.59/0.78 thf(func_def_66, type, sK3: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1 > X0))).
% 2.59/0.78 thf(func_def_67, type, sK4: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > X0 > X2) > (product_prod @ X1 @ X0 > X2) > X1))).
% 2.59/0.78 thf(func_def_68, type, sK5: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > X0 > X2) > (product_prod @ X1 @ X0 > X2) > X0))).
% 2.59/0.78 thf(func_def_69, type, sK6: !>[X0: $tType]:(((X0 > $o) > X0 > X0))).
% 2.59/0.78 thf(func_def_70, type, sK7: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X0))).
% 2.59/0.78 thf(func_def_71, type, sK8: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X1))).
% 2.59/0.78 thf(func_def_72, type, sK9: !>[X0: $tType]:(((X0 > X0) > X0))).
% 2.59/0.78 thf(func_def_73, type, sK10: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X4 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X5 @ X2 > X2))).
% 2.59/0.78 thf(func_def_74, type, sK11: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X4 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X5 @ X2 > X1))).
% 2.59/0.78 thf(func_def_75, type, sK12: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X4 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X5 @ X2 > X4))).
% 2.59/0.78 thf(func_def_76, type, sK13: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X4 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X5 @ X2 > X0))).
% 2.59/0.78 thf(func_def_77, type, sK14: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X4 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X5 @ X2 > X5))).
% 2.59/0.78 thf(func_def_78, type, sK15: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X4 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X5 @ X2 > X3))).
% 2.59/0.78 thf(func_def_79, type, sK16: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X2 @ product_prod @ X6 @ product_prod @ X5 @ product_prod @ X1 @ product_prod @ X4 @ product_prod @ X3 @ X0 > X1))).
% 2.59/0.78 thf(func_def_80, type, sK17: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X2 @ product_prod @ X6 @ product_prod @ X5 @ product_prod @ X1 @ product_prod @ X4 @ product_prod @ X3 @ X0 > X3))).
% 2.59/0.78 thf(func_def_81, type, sK18: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X2 @ product_prod @ X6 @ product_prod @ X5 @ product_prod @ X1 @ product_prod @ X4 @ product_prod @ X3 @ X0 > X0))).
% 2.59/0.78 thf(func_def_82, type, sK19: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X2 @ product_prod @ X6 @ product_prod @ X5 @ product_prod @ X1 @ product_prod @ X4 @ product_prod @ X3 @ X0 > X4))).
% 2.59/0.78 thf(func_def_83, type, sK20: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X2 @ product_prod @ X6 @ product_prod @ X5 @ product_prod @ X1 @ product_prod @ X4 @ product_prod @ X3 @ X0 > X5))).
% 2.59/0.78 thf(func_def_84, type, sK21: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X2 @ product_prod @ X6 @ product_prod @ X5 @ product_prod @ X1 @ product_prod @ X4 @ product_prod @ X3 @ X0 > X2))).
% 2.59/0.78 thf(func_def_85, type, sK22: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X2 @ product_prod @ X6 @ product_prod @ X5 @ product_prod @ X1 @ product_prod @ X4 @ product_prod @ X3 @ X0 > X6))).
% 2.59/0.78 thf(func_def_86, type, sK23: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > (X0 > X1 > X2) > product_prod @ X0 @ X1 > X0))).
% 2.59/0.78 thf(func_def_87, type, sK24: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > (X0 > X1 > X2) > product_prod @ X0 @ X1 > X1))).
% 2.59/0.78 thf(func_def_88, type, sK25: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 2.59/0.78 thf(func_def_89, type, sK26: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 2.59/0.78 thf(func_def_90, type, sK27: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 2.59/0.78 thf(func_def_91, type, sK28: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 2.59/0.78 thf(func_def_92, type, sK29: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > (X1 > X0 > $o) > X0))).
% 2.59/0.78 thf(func_def_93, type, sK30: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > (X1 > X0 > $o) > X1))).
% 2.59/0.78 thf(func_def_94, type, sK31: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > X1))).
% 2.59/0.78 thf(func_def_95, type, sK32: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > X0))).
% 2.59/0.78 thf(func_def_96, type, sK33: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X6 @ product_prod @ X5 @ X0 > $o) > X3))).
% 2.59/0.78 thf(func_def_97, type, sK34: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X6 @ product_prod @ X5 @ X0 > $o) > X1))).
% 2.59/0.78 thf(func_def_98, type, sK35: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X6 @ product_prod @ X5 @ X0 > $o) > X6))).
% 2.59/0.78 thf(func_def_99, type, sK36: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X6 @ product_prod @ X5 @ X0 > $o) > X2))).
% 2.59/0.78 thf(func_def_100, type, sK37: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X6 @ product_prod @ X5 @ X0 > $o) > X5))).
% 2.59/0.78 thf(func_def_101, type, sK38: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X6 @ product_prod @ X5 @ X0 > $o) > X4))).
% 2.59/0.78 thf(func_def_102, type, sK39: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X6 @ product_prod @ X5 @ X0 > $o) > X0))).
% 2.59/0.78 thf(func_def_103, type, sK40: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 2.59/0.78 thf(func_def_104, type, sK41: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X1 > X0) > product_prod @ X2 @ X1 > (X0 > $o) > X2))).
% 2.59/0.78 thf(func_def_105, type, sK42: !>[X0: $tType, X1: $tType, X2: $tType]:(((X2 > X1 > X0) > product_prod @ X2 @ X1 > (X0 > $o) > X1))).
% 2.59/0.78 thf(func_def_106, type, sK43: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 2.59/0.78 thf(func_def_107, type, sK44: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 2.59/0.78 thf(func_def_108, type, sK45: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X0 @ product_prod @ X1 @ X2 > X3))).
% 2.59/0.78 thf(func_def_109, type, sK46: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X0 @ product_prod @ X1 @ X2 > X1))).
% 2.59/0.78 thf(func_def_110, type, sK47: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X0 @ product_prod @ X1 @ X2 > X4))).
% 2.59/0.78 thf(func_def_111, type, sK48: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X0 @ product_prod @ X1 @ X2 > X0))).
% 2.59/0.78 thf(func_def_112, type, sK49: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X0 @ product_prod @ X1 @ X2 > X2))).
% 2.59/0.78 thf(func_def_113, type, sK50: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > (X1 > X0 > set @ X2) > product_prod @ X1 @ X0 > X0))).
% 2.59/0.78 thf(func_def_114, type, sK51: !>[X0: $tType, X1: $tType, X2: $tType]:((X2 > (X1 > X0 > set @ X2) > product_prod @ X1 @ X0 > X1))).
% 2.59/0.78 thf(func_def_115, type, sK52: !>[X0: $tType]:(((X0 > X0) > X0 > (X0 > X0) > X0))).
% 2.59/0.78 thf(func_def_116, type, sK53: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X1 @ product_prod @ X2 @ X0 > $o) > X2))).
% 2.59/0.78 thf(func_def_117, type, sK54: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X1 @ product_prod @ X2 @ X0 > $o) > X0))).
% 2.59/0.78 thf(func_def_118, type, sK55: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X1 @ product_prod @ X2 @ X0 > $o) > X1))).
% 2.59/0.78 thf(func_def_119, type, sK56: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X2 @ product_prod @ X1 @ X0 > X2))).
% 2.59/0.78 thf(func_def_120, type, sK57: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X2 @ product_prod @ X1 @ X0 > X0))).
% 2.59/0.78 thf(func_def_121, type, sK58: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X2 @ product_prod @ X1 @ X0 > X1))).
% 2.59/0.78 thf(func_def_122, type, sK59: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X2 @ X1 > X0 > (X2 > X1 > X0 > $o) > X1))).
% 2.59/0.78 thf(func_def_123, type, sK60: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X2 @ X1 > X0 > (X2 > X1 > X0 > $o) > X2))).
% 2.59/0.78 thf(func_def_124, type, sK61: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > (X0 > X2 > set @ X1) > product_prod @ X0 @ X2 > X0))).
% 2.59/0.78 thf(func_def_125, type, sK62: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > (X0 > X2 > set @ X1) > product_prod @ X0 @ X2 > X2))).
% 2.59/0.78 thf(func_def_126, type, sK63: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > (X1 > X0 > $o) > X0))).
% 2.59/0.78 thf(func_def_127, type, sK64: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > (X1 > X0 > $o) > X1))).
% 2.59/0.78 thf(func_def_128, type, sK65: !>[X0: $tType]:((X0 > (X0 > X0) > (X0 > X0) > X0))).
% 2.59/0.78 thf(func_def_129, type, sK66: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 2.59/0.78 thf(func_def_130, type, sK67: !>[X0: $tType, X1: $tType]:((X1 > product_prod @ X1 @ X0 > X0))).
% 2.59/0.78 thf(func_def_131, type, sK68: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X3 @ product_prod @ X2 @ X1 > X3))).
% 2.59/0.78 thf(func_def_132, type, sK69: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X3 @ product_prod @ X2 @ X1 > X0))).
% 2.59/0.78 thf(func_def_133, type, sK70: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X3 @ product_prod @ X2 @ X1 > X2))).
% 2.59/0.78 thf(func_def_134, type, sK71: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X3 @ product_prod @ X2 @ X1 > X1))).
% 2.59/0.78 thf(func_def_135, type, sK72: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X0 > $o) > X2))).
% 2.59/0.78 thf(func_def_136, type, sK73: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X0 > $o) > X3))).
% 2.59/0.78 thf(func_def_137, type, sK74: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X0 > $o) > X1))).
% 2.59/0.78 thf(func_def_138, type, sK75: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ X0 > $o) > X0))).
% 2.59/0.78 thf(func_def_139, type, sK76: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X0 @ product_prod @ X4 @ product_prod @ X2 @ product_prod @ X1 @ X3 > $o) > X0))).
% 2.59/0.78 thf(func_def_140, type, sK77: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X0 @ product_prod @ X4 @ product_prod @ X2 @ product_prod @ X1 @ X3 > $o) > X4))).
% 2.59/0.78 thf(func_def_141, type, sK78: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X0 @ product_prod @ X4 @ product_prod @ X2 @ product_prod @ X1 @ X3 > $o) > X1))).
% 2.59/0.78 thf(func_def_142, type, sK79: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X0 @ product_prod @ X4 @ product_prod @ X2 @ product_prod @ X1 @ X3 > $o) > X3))).
% 2.59/0.78 thf(func_def_143, type, sK80: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X0 @ product_prod @ X4 @ product_prod @ X2 @ product_prod @ X1 @ X3 > $o) > X2))).
% 2.59/0.78 thf(func_def_144, type, sK81: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 2.59/0.78 thf(func_def_145, type, sK82: !>[X0: $tType]:(((X0 > $o) > X0 > X0))).
% 2.59/0.78 thf(func_def_146, type, sK83: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X1))).
% 2.59/0.78 thf(func_def_147, type, sK84: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X0))).
% 2.59/0.78 thf(func_def_148, type, sK85: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X1 > $o) > (X1 > X0) > X1))).
% 2.59/0.78 thf(func_def_149, type, sK86: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X1 @ X2 > (X0 > X1) > product_prod @ X0 @ X2 > X2))).
% 2.59/0.78 thf(func_def_150, type, sK87: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X1 @ X2 > (X0 > X1) > product_prod @ X0 @ X2 > X0))).
% 2.59/0.78 thf(func_def_151, type, sK88: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X2 > X1 > $o) > X1 > product_prod @ X0 @ X2 > X0))).
% 2.59/0.78 thf(func_def_152, type, sK89: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X2 > X1 > $o) > X1 > product_prod @ X0 @ X2 > X2))).
% 2.59/0.78 thf(func_def_153, type, sK90: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X2 @ product_prod @ X3 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X4 @ X5 > $o) > X2))).
% 2.59/0.78 thf(func_def_154, type, sK91: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X2 @ product_prod @ X3 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X4 @ X5 > $o) > X4))).
% 2.59/0.78 thf(func_def_155, type, sK92: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X2 @ product_prod @ X3 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X4 @ X5 > $o) > X3))).
% 2.59/0.78 thf(func_def_156, type, sK93: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X2 @ product_prod @ X3 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X4 @ X5 > $o) > X1))).
% 2.59/0.78 thf(func_def_157, type, sK94: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X2 @ product_prod @ X3 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X4 @ X5 > $o) > X0))).
% 2.59/0.78 thf(func_def_158, type, sK95: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X2 @ product_prod @ X3 @ product_prod @ X1 @ product_prod @ X0 @ product_prod @ X4 @ X5 > $o) > X5))).
% 2.59/0.78 thf(func_def_159, type, sK96: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 2.59/0.78 thf(func_def_160, type, sK97: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 2.59/0.78 thf(f44,axiom,(
% 2.59/0.78 ! [X2 : $tType,X0 : $tType,X1 : $tType,X4 : X0,X5 : X2,X3 : (X0 > X2 > X1)] : (((product_case_prod @ X0 @ X2 @ X1 @ X3 @ (product_Pair @ X0 @ X2 @ X4 @ X5))) = ((X3 @ X4 @ X5)))),
% 2.59/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_43_old_Oprod_Ocase)).
% 2.59/0.78 thf(f56,axiom,(
% 2.59/0.78 ! [X0 : $tType,X1 : $tType,X4 : (X0 > X1),X3 : X0,X5 : (X0 > X0),X2 : (X0 > $o)] : ((X2 @ X3) => (((coindu1441602521_llist @ X0 @ X1 @ X2 @ X4 @ X5 @ X3)) = coinductive_LNil @ X1))),
% 2.59/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_55_unfold__llist_Octr_I1_J)).
% 2.59/0.78 thf(f270,conjecture,(
% 2.59/0.78 (coinductive_LNil @ a = ((coindu1441602521_llist @ product_prod @ coinductive_llist @ a @ coinductive_llist @ a @ a @ (product_case_prod @ coinductive_llist @ a @ coinductive_llist @ a @ $o @ (^[X0 : coinductive_llist @ a, X1 : coinductive_llist @ a] : ((X0 != coinductive_LNil @ a) => ((X1 != coinductive_LNil @ a) => (((coinductive_lhd @ a @ X0)) != ((coinductive_lhd @ a @ X1))))))) @ (comp @ coinductive_llist @ a @ a @ product_prod @ coinductive_llist @ a @ coinductive_llist @ a @ coinductive_lhd @ a @ product_snd @ coinductive_llist @ a @ coinductive_llist @ a) @ (product_map_prod @ coinductive_llist @ a @ coinductive_llist @ a @ coinductive_llist @ a @ coinductive_llist @ a @ coinductive_ltl @ a @ coinductive_ltl @ a) @ (product_Pair @ coinductive_llist @ a @ coinductive_llist @ a @ coinductive_LNil @ a @ xs))))),
% 2.59/0.78 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 2.59/0.78 thf(f271,negated_conjecture,(
% 2.59/0.78 ~ (coinductive_LNil @ a = ((coindu1441602521_llist @ product_prod @ coinductive_llist @ a @ coinductive_llist @ a @ a @ (product_case_prod @ coinductive_llist @ a @ coinductive_llist @ a @ $o @ (^[X0 : coinductive_llist @ a, X1 : coinductive_llist @ a] : ((X0 != coinductive_LNil @ a) => ((X1 != coinductive_LNil @ a) => (((coinductive_lhd @ a @ X0)) != ((coinductive_lhd @ a @ X1))))))) @ (comp @ coinductive_llist @ a @ a @ product_prod @ coinductive_llist @ a @ coinductive_llist @ a @ coinductive_lhd @ a @ product_snd @ coinductive_llist @ a @ coinductive_llist @ a) @ (product_map_prod @ coinductive_llist @ a @ coinductive_llist @ a @ coinductive_llist @ a @ coinductive_llist @ a @ coinductive_ltl @ a @ coinductive_ltl @ a) @ (product_Pair @ coinductive_llist @ a @ coinductive_llist @ a @ coinductive_LNil @ a @ xs))))),
% 2.59/0.78 inference(negated_conjecture,[status(cth)],[f270])).
% 2.59/0.78 thf(f357,plain,(
% 2.59/0.78 ! [X0 : $tType,X1 : $tType,X2 : (X0 > X1),X3 : X0,X4 : (X0 > X0),X5 : (X0 > $o)] : ((X5 @ X3) => (coinductive_LNil @ X1 = ((coindu1441602521_llist @ X0 @ X1 @ X5 @ X2 @ X4 @ X3))))),
% 2.59/0.78 inference(rectify,[],[f56])).
% 2.59/0.78 thf(f358,plain,(
% 2.59/0.78 ! [X1 : $tType,X0 : $tType,X5 : (X0 > $o),X2 : (X0 > X1),X3 : X0,X4 : (X0 > X0)] : ((((X5 @ X3)) = $true) => (coinductive_LNil @ X1 = ((coindu1441602521_llist @ X0 @ X1 @ X5 @ X2 @ X4 @ X3))))),
% 2.59/0.78 inference(fool_elimination,[],[f357])).
% 2.59/0.78 thf(f445,plain,(
% 2.59/0.78 ~ (coinductive_LNil @ a = ((coindu1441602521_llist @ product_prod @ coinductive_llist @ a @ coinductive_llist @ a @ a @ (product_case_prod @ coinductive_llist @ a @ coinductive_llist @ a @ $o @ (^[X0 : coinductive_llist @ a, X1 : coinductive_llist @ a] : ((X0 != coinductive_LNil @ a) => ((X1 != coinductive_LNil @ a) => (((coinductive_lhd @ a @ X0)) != ((coinductive_lhd @ a @ X1))))))) @ (comp @ coinductive_llist @ a @ a @ product_prod @ coinductive_llist @ a @ coinductive_llist @ a @ coinductive_lhd @ a @ product_snd @ coinductive_llist @ a @ coinductive_llist @ a) @ (product_map_prod @ coinductive_llist @ a @ coinductive_llist @ a @ coinductive_llist @ a @ coinductive_llist @ a @ coinductive_ltl @ a @ coinductive_ltl @ a) @ (product_Pair @ coinductive_llist @ a @ coinductive_llist @ a @ coinductive_LNil @ a @ xs))))),
% 2.59/0.78 inference(rectify,[],[f271])).
% 2.59/0.78 thf(f446,plain,(
% 2.59/0.78 ~ (coinductive_LNil @ a = ((coindu1441602521_llist @ product_prod @ coinductive_llist @ a @ coinductive_llist @ a @ a @ (product_case_prod @ coinductive_llist @ a @ coinductive_llist @ a @ $o @ (^[Y0 : coinductive_llist @ a]: ((^[Y1 : coinductive_llist @ a]: ((~ (coinductive_LNil @ a = Y0)) => ((~ (coinductive_LNil @ a = Y1)) => (~ ((coinductive_lhd @ a @ Y0) = (coinductive_lhd @ a @ Y1))))))))) @ (comp @ coinductive_llist @ a @ a @ product_prod @ coinductive_llist @ a @ coinductive_llist @ a @ coinductive_lhd @ a @ product_snd @ coinductive_llist @ a @ coinductive_llist @ a) @ (product_map_prod @ coinductive_llist @ a @ coinductive_llist @ a @ coinductive_llist @ a @ coinductive_llist @ a @ coinductive_ltl @ a @ coinductive_ltl @ a) @ (product_Pair @ coinductive_llist @ a @ coinductive_llist @ a @ coinductive_LNil @ a @ xs))))),
% 2.59/0.78 inference(fool_elimination,[],[f445])).
% 2.59/0.78 thf(f645,plain,(
% 2.59/0.78 (coinductive_LNil @ a != ((coindu1441602521_llist @ product_prod @ coinductive_llist @ a @ coinductive_llist @ a @ a @ (product_case_prod @ coinductive_llist @ a @ coinductive_llist @ a @ $o @ (^[Y0 : coinductive_llist @ a]: ((^[Y1 : coinductive_llist @ a]: ((~ (coinductive_LNil @ a = Y0)) => ((~ (coinductive_LNil @ a = Y1)) => (~ ((coinductive_lhd @ a @ Y0) = (coinductive_lhd @ a @ Y1))))))))) @ (comp @ coinductive_llist @ a @ a @ product_prod @ coinductive_llist @ a @ coinductive_llist @ a @ coinductive_lhd @ a @ product_snd @ coinductive_llist @ a @ coinductive_llist @ a) @ (product_map_prod @ coinductive_llist @ a @ coinductive_llist @ a @ coinductive_llist @ a @ coinductive_llist @ a @ coinductive_ltl @ a @ coinductive_ltl @ a) @ (product_Pair @ coinductive_llist @ a @ coinductive_llist @ a @ coinductive_LNil @ a @ xs))))),
% 2.59/0.78 inference(flattening,[],[f446])).
% 2.59/0.78 thf(f738,plain,(
% 2.59/0.78 ! [X0 : $tType,X1 : $tType,X3 : X0,X5 : (X0 > $o),X4 : (X0 > X0),X2 : (X0 > X1)] : ((((X5 @ X3)) != $true) | (coinductive_LNil @ X1 = ((coindu1441602521_llist @ X0 @ X1 @ X5 @ X2 @ X4 @ X3))))),
% 2.59/0.78 inference(ennf_transformation,[],[f358])).
% 2.59/0.78 thf(f886,plain,(
% 2.59/0.78 ! [X0 : $tType,X1 : $tType,X2 : $tType,X3 : X1,X4 : X0,X5 : (X1 > X0 > X2)] : (((product_case_prod @ X1 @ X0 @ X2 @ X5 @ (product_Pair @ X1 @ X0 @ X3 @ X4))) = ((X5 @ X3 @ X4)))),
% 2.59/0.78 inference(rectify,[],[f44])).
% 2.59/0.78 thf(f913,plain,(
% 2.59/0.78 ! [X0 : $tType,X1 : $tType,X2 : X0,X3 : (X0 > $o),X4 : (X0 > X0),X5 : (X0 > X1)] : ((((X3 @ X2)) != $true) | (coinductive_LNil @ X1 = ((coindu1441602521_llist @ X0 @ X1 @ X3 @ X5 @ X4 @ X2))))),
% 2.59/0.78 inference(rectify,[],[f738])).
% 2.59/0.78 thf(f1161,plain,(
% 2.59/0.78 ( ! [X1 : $tType,X0 : $tType,X2 : $tType,X3 : X1,X4 : X0,X5 : (X1 > X0 > X2)] : ((((product_case_prod @ X1 @ X0 @ X2 @ X5 @ (product_Pair @ X1 @ X0 @ X3 @ X4))) = ((X5 @ X3 @ X4)))) )),
% 2.59/0.78 inference(cnf_transformation,[],[f886])).
% 2.59/0.78 thf(f1190,plain,(
% 2.59/0.78 ( ! [X1 : $tType,X0 : $tType,X2 : X0,X3 : (X0 > $o),X4 : (X0 > X0),X5 : (X0 > X1)] : ((coinductive_LNil @ X1 = ((coindu1441602521_llist @ X0 @ X1 @ X3 @ X5 @ X4 @ X2))) | (((X3 @ X2)) != $true)) )),
% 2.59/0.78 inference(cnf_transformation,[],[f913])).
% 2.59/0.78 thf(f1406,plain,(
% 2.59/0.78 (coinductive_LNil @ a != ((coindu1441602521_llist @ product_prod @ coinductive_llist @ a @ coinductive_llist @ a @ a @ (product_case_prod @ coinductive_llist @ a @ coinductive_llist @ a @ $o @ (^[Y0 : coinductive_llist @ a]: ((^[Y1 : coinductive_llist @ a]: ((~ (coinductive_LNil @ a = Y0)) => ((~ (coinductive_LNil @ a = Y1)) => (~ ((coinductive_lhd @ a @ Y0) = (coinductive_lhd @ a @ Y1))))))))) @ (comp @ coinductive_llist @ a @ a @ product_prod @ coinductive_llist @ a @ coinductive_llist @ a @ coinductive_lhd @ a @ product_snd @ coinductive_llist @ a @ coinductive_llist @ a) @ (product_map_prod @ coinductive_llist @ a @ coinductive_llist @ a @ coinductive_llist @ a @ coinductive_llist @ a @ coinductive_ltl @ a @ coinductive_ltl @ a) @ (product_Pair @ coinductive_llist @ a @ coinductive_llist @ a @ coinductive_LNil @ a @ xs))))),
% 2.59/0.78 inference(cnf_transformation,[],[f645])).
% 2.59/0.78 thf(f1456,plain,(
% 2.59/0.78 (coinductive_LNil @ a != coinductive_LNil @ a) | (((product_case_prod @ coinductive_llist @ a @ coinductive_llist @ a @ $o @ (^[Y0 : coinductive_llist @ a]: ((^[Y1 : coinductive_llist @ a]: ((~ (coinductive_LNil @ a = Y0)) => ((~ (coinductive_LNil @ a = Y1)) => (~ ((coinductive_lhd @ a @ Y0) = (coinductive_lhd @ a @ Y1)))))))) @ (product_Pair @ coinductive_llist @ a @ coinductive_llist @ a @ coinductive_LNil @ a @ xs))) != $true)),
% 2.59/0.78 inference(constrained_superposition,[],[f1406,f1190])).
% 2.59/0.78 thf(f1457,plain,(
% 2.59/0.78 (((product_case_prod @ coinductive_llist @ a @ coinductive_llist @ a @ $o @ (^[Y0 : coinductive_llist @ a]: ((^[Y1 : coinductive_llist @ a]: ((~ (coinductive_LNil @ a = Y0)) => ((~ (coinductive_LNil @ a = Y1)) => (~ ((coinductive_lhd @ a @ Y0) = (coinductive_lhd @ a @ Y1)))))))) @ (product_Pair @ coinductive_llist @ a @ coinductive_llist @ a @ coinductive_LNil @ a @ xs))) != $true)),
% 2.59/0.78 inference(trivial_inequality_removal,[],[f1456])).
% 2.59/0.78 thf(f1480,plain,(
% 2.59/0.78 ($true != (((^[Y0 : coinductive_llist @ a]: ((^[Y1 : coinductive_llist @ a]: ((~ (coinductive_LNil @ a = Y0)) => ((~ (coinductive_LNil @ a = Y1)) => (~ ((coinductive_lhd @ a @ Y0) = (coinductive_lhd @ a @ Y1)))))))) @ coinductive_LNil @ a @ xs)))),
% 2.59/0.78 inference(forward_demodulation,[],[f1457,f1161])).
% 2.59/0.78 thf(f1481,plain,(
% 2.59/0.78 ((((~ (coinductive_LNil @ a = coinductive_LNil @ a)) => ((~ (coinductive_LNil @ a = xs)) => (~ ((coinductive_lhd @ a @ coinductive_LNil @ a) = (coinductive_lhd @ a @ xs)))))) != $true)),
% 2.59/0.78 inference(beta-eta_normalization,[],[f1480])).
% 2.59/0.78 thf(f1483,plain,(
% 2.59/0.78 (((~ (coinductive_LNil @ a = coinductive_LNil @ a))) = $true)),
% 2.59/0.78 inference(imp_proxy_clausification,[],[f1481])).
% 2.59/0.78 thf(f1484,plain,(
% 2.59/0.78 (((coinductive_LNil @ a = coinductive_LNil @ a)) = $false)),
% 2.59/0.78 inference(not_proxy_clausification,[],[f1483])).
% 2.59/0.78 thf(f1485,plain,(
% 2.59/0.78 (coinductive_LNil @ a != coinductive_LNil @ a)),
% 2.59/0.78 inference(equality_proxy_clausification,[],[f1484])).
% 2.59/0.78 thf(f1486,plain,(
% 2.59/0.78 $false),
% 2.59/0.78 inference(trivial_inequality_removal,[],[f1485])).
% 2.59/0.78 % SZS output end Proof for theBenchmark
% 2.59/0.78 % (958393)------------------------------
% 2.59/0.78 % (958393)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.59/0.78 % (958393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/0.78 % (958393)CaDiCaL version: 2.1.3
% 2.59/0.78 % (958393)Termination reason: Refutation
% 2.59/0.78 % (958393)Time elapsed: 0.081 s
% 2.59/0.78 % (958393)Peak memory usage: 15 MB
% 2.59/0.78 % (958393)Instructions burned: 154 (million)
% 2.59/0.78 % (958301)Success in time 0.487 s
% 2.59/0.78 % Vampire exiting
%------------------------------------------------------------------------------