%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP181^2 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 08:08:42 AM UTC 2026
% Result : Theorem 2.51s 0.70s
% Output : Refutation 2.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP181^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n010.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Sep 29 20:08:05 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running higher-order theorem proving
% 0.23/0.27 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.58/0.40 % (3341228)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.58/0.40 % (3341238)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3411007211:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.58/0.40 % (3341239)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.58/0.40 % (3341239)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
% 0.58/0.40 % (3341233)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2827196028:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.58/0.40 % (3341234)lrs+10_16_si=on:nwc=1.5:random_seed=3147747291:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.58/0.40 % (3341235)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2933294876:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.58/0.40 % (3341236)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=2738723677: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)
% 0.58/0.40 % (3341237)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1626751478:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.58/0.40 % (3341239)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=180437942:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.58/0.40 % (3341235)Instruction limit reached!
% 0.58/0.40 % (3341235)------------------------------
% 0.58/0.40 % (3341235)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.40 % (3341235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.40 % (3341235)CaDiCaL version: 2.1.3
% 0.58/0.40 % (3341235)Termination reason: Instruction limit
% 0.58/0.40 % (3341235)Termination phase: shuffling
% 0.58/0.40 % (3341235)Time elapsed: 0.002 s
% 0.58/0.40 % (3341235)Peak memory usage: 10 MB
% 0.58/0.40 % (3341235)Instructions burned: 3 (million)
% 0.58/0.40 % (3341234)Instruction limit reached!
% 0.58/0.40 % (3341234)------------------------------
% 0.58/0.40 % (3341234)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.40 % (3341234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.40 % (3341234)CaDiCaL version: 2.1.3
% 0.58/0.40 % (3341234)Termination reason: Instruction limit
% 0.58/0.40 % (3341234)Termination phase: shuffling
% 0.58/0.40 % (3341234)Time elapsed: 0.009 s
% 0.58/0.40 % (3341234)Peak memory usage: 10 MB
% 0.58/0.40 % (3341234)Instructions burned: 19 (million)
% 0.58/0.40 % (3341238)Instruction limit reached!
% 0.58/0.40 % (3341238)------------------------------
% 0.58/0.40 % (3341238)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.40 % (3341238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.40 % (3341238)CaDiCaL version: 2.1.3
% 0.58/0.40 % (3341238)Termination reason: Instruction limit
% 0.58/0.40 % (3341238)Termination phase: Property scanning
% 0.58/0.40 % (3341238)Time elapsed: 0.020 s
% 0.58/0.40 % (3341238)Peak memory usage: 12 MB
% 0.58/0.40 % (3341238)Instructions burned: 76 (million)
% 0.58/0.40 % (3341237)Instruction limit reached!
% 0.58/0.40 % (3341237)------------------------------
% 0.58/0.40 % (3341237)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.40 % (3341237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.40 % (3341237)CaDiCaL version: 2.1.3
% 0.58/0.40 % (3341237)Termination reason: Instruction limit
% 0.58/0.40 % (3341237)Termination phase: Property scanning
% 0.58/0.40 % (3341237)Time elapsed: 0.012 s
% 0.58/0.40 % (3341237)Peak memory usage: 10 MB
% 0.58/0.40 % (3341237)Instructions burned: 25 (million)
% 0.58/0.40 % (3341249)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.58/0.40 % (3341247)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1849711644:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.58/0.44 % (3341249)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=196834783:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.58/0.44 % (3341247)Instruction limit reached!
% 0.58/0.44 % (3341247)------------------------------
% 0.58/0.44 % (3341247)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.44 % (3341247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.44 % (3341247)CaDiCaL version: 2.1.3
% 0.58/0.44 % (3341247)Termination reason: Instruction limit
% 0.58/0.44 % (3341247)Termination phase: shuffling
% 0.58/0.44 % (3341247)Time elapsed: 0.002 s
% 0.58/0.44 % (3341247)Peak memory usage: 10 MB
% 0.58/0.44 % (3341247)Instructions burned: 2 (million)
% 0.58/0.44 % (3341249)Instruction limit reached!
% 0.58/0.44 % (3341249)------------------------------
% 0.58/0.44 % (3341249)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.44 % (3341249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.44 % (3341249)CaDiCaL version: 2.1.3
% 0.58/0.44 % (3341249)Termination reason: Instruction limit
% 0.58/0.44 % (3341249)Termination phase: shuffling
% 0.58/0.44 % (3341249)Time elapsed: 0.002 s
% 0.58/0.44 % (3341249)Peak memory usage: 10 MB
% 0.58/0.44 % (3341249)Instructions burned: 9 (million)
% 0.58/0.44 % (3341248)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2478336805:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.58/0.44 % (3341248)Instruction limit reached!
% 0.58/0.44 % (3341248)------------------------------
% 0.58/0.44 % (3341248)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.44 % (3341248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.44 % (3341248)CaDiCaL version: 2.1.3
% 0.58/0.44 % (3341248)Termination reason: Instruction limit
% 0.58/0.44 % (3341248)Termination phase: shuffling
% 0.58/0.44 % (3341248)Time elapsed: 0.003 s
% 0.58/0.44 % (3341248)Peak memory usage: 10 MB
% 0.58/0.44 % (3341248)Instructions burned: 5 (million)
% 0.58/0.44 % (3341250)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=4206441688:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.58/0.44 % (3341254)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=1639233231:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.58/0.44 % (3341250)Instruction limit reached!
% 0.58/0.44 % (3341250)------------------------------
% 0.58/0.44 % (3341250)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.44 % (3341250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.44 % (3341253)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
% 0.58/0.44 % (3341250)CaDiCaL version: 2.1.3
% 0.58/0.44 % (3341250)Termination reason: Instruction limit
% 0.58/0.44 % (3341250)Termination phase: shuffling
% 0.58/0.44 % (3341250)Time elapsed: 0.006 s
% 0.58/0.44 % (3341250)Peak memory usage: 10 MB
% 0.58/0.44 % (3341250)Instructions burned: 13 (million)
% 0.58/0.44 % (3341253)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.58/0.44 % (3341233)Instruction limit reached!
% 0.58/0.44 % (3341233)------------------------------
% 0.58/0.44 % (3341233)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.44 % (3341233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.44 % (3341233)CaDiCaL version: 2.1.3
% 0.58/0.44 % (3341233)Termination reason: Instruction limit
% 0.58/0.44 % (3341233)Termination phase: Property scanning
% 0.58/0.44 % (3341233)Time elapsed: 0.040 s
% 0.58/0.44 % (3341233)Peak memory usage: 12 MB
% 0.58/0.44 % (3341233)Instructions burned: 87 (million)
% 0.58/0.44 % (3341253)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2599526931:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.58/0.44 % (3341256)lrs+10_1_si=on:cs=on:random_seed=3640561050:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.58/0.44 % (3341259)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.28/0.46 % (3341256)Instruction limit reached!
% 1.28/0.46 % (3341256)------------------------------
% 1.28/0.46 % (3341256)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.46 % (3341256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.46 % (3341256)CaDiCaL version: 2.1.3
% 1.28/0.46 % (3341256)Termination reason: Instruction limit
% 1.28/0.46 % (3341256)Termination phase: shuffling
% 1.28/0.46 % (3341256)Time elapsed: 0.004 s
% 1.28/0.46 % (3341256)Peak memory usage: 10 MB
% 1.28/0.46 % (3341256)Instructions burned: 8 (million)
% 1.28/0.46 % (3341253)Instruction limit reached!
% 1.28/0.46 % (3341253)------------------------------
% 1.28/0.46 % (3341253)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.46 % (3341253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.46 % (3341253)CaDiCaL version: 2.1.3
% 1.28/0.46 % (3341253)Termination reason: Instruction limit
% 1.28/0.46 % (3341253)Termination phase: shuffling
% 1.28/0.46 % (3341253)Time elapsed: 0.013 s
% 1.28/0.46 % (3341253)Peak memory usage: 10 MB
% 1.28/0.46 % (3341253)Instructions burned: 30 (million)
% 1.28/0.46 % (3341259)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=31311542:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.28/0.46 % (3341254)Instruction limit reached!
% 1.28/0.46 % (3341254)------------------------------
% 1.28/0.46 % (3341254)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.46 % (3341254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.46 % (3341254)CaDiCaL version: 2.1.3
% 1.28/0.46 % (3341254)Termination reason: Instruction limit
% 1.28/0.46 % (3341254)Termination phase: Preprocessing 1
% 1.28/0.46 % (3341254)Time elapsed: 0.020 s
% 1.28/0.46 % (3341254)Peak memory usage: 11 MB
% 1.28/0.46 % (3341254)Instructions burned: 86 (million)
% 1.28/0.46 % (3341260)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=4008790793:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 1.28/0.46 % (3341259)Instruction limit reached!
% 1.28/0.46 % (3341259)------------------------------
% 1.28/0.46 % (3341259)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.46 % (3341259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.46 % (3341259)CaDiCaL version: 2.1.3
% 1.28/0.46 % (3341259)Termination reason: Instruction limit
% 1.28/0.46 % (3341259)Termination phase: shuffling
% 1.28/0.46 % (3341259)Time elapsed: 0.002 s
% 1.28/0.46 % (3341259)Peak memory usage: 10 MB
% 1.28/0.46 % (3341259)Instructions burned: 3 (million)
% 1.28/0.46 % (3341239)Instruction limit reached!
% 1.28/0.46 % (3341239)------------------------------
% 1.28/0.46 % (3341239)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.46 % (3341239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.46 % (3341239)CaDiCaL version: 2.1.3
% 1.28/0.46 % (3341239)Termination reason: Instruction limit
% 1.28/0.46 % (3341239)Termination phase: Saturation
% 1.28/0.46 % (3341239)Time elapsed: 0.071 s
% 1.28/0.46 % (3341239)Peak memory usage: 14 MB
% 1.28/0.46 % (3341239)Instructions burned: 158 (million)
% 1.28/0.46 % (3341263)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=972767697:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 1.28/0.46 % (3341264)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2572658582:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.28/0.46 % (3341260)Instruction limit reached!
% 1.28/0.46 % (3341260)------------------------------
% 1.28/0.46 % (3341260)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.46 % (3341260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.46 % (3341260)CaDiCaL version: 2.1.3
% 1.28/0.46 % (3341260)Termination reason: Instruction limit
% 1.28/0.46 % (3341260)Termination phase: Property scanning
% 1.28/0.46 % (3341260)Time elapsed: 0.017 s
% 1.28/0.46 % (3341260)Peak memory usage: 10 MB
% 1.28/0.46 % (3341260)Instructions burned: 38 (million)
% 1.28/0.46 % (3341266)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=553058468:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.28/0.51 % (3341268)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=416254154:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.28/0.51 % (3341266)Instruction limit reached!
% 1.28/0.51 % (3341266)------------------------------
% 1.28/0.51 % (3341266)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.51 % (3341266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.51 % (3341266)CaDiCaL version: 2.1.3
% 1.28/0.51 % (3341266)Termination reason: Instruction limit
% 1.28/0.51 % (3341266)Termination phase: shuffling
% 1.28/0.51 % (3341266)Time elapsed: 0.007 s
% 1.28/0.51 % (3341266)Peak memory usage: 10 MB
% 1.28/0.51 % (3341266)Instructions burned: 16 (million)
% 1.28/0.51 % (3341273)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3512189359: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)
% 1.28/0.51 % (3341264)Instruction limit reached!
% 1.28/0.51 % (3341264)------------------------------
% 1.28/0.51 % (3341264)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.51 % (3341264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.51 % (3341264)CaDiCaL version: 2.1.3
% 1.28/0.51 % (3341264)Termination reason: Instruction limit
% 1.28/0.51 % (3341264)Termination phase: Property scanning
% 1.28/0.51 % (3341264)Time elapsed: 0.011 s
% 1.28/0.51 % (3341264)Peak memory usage: 10 MB
% 1.28/0.51 % (3341264)Instructions burned: 25 (million)
% 1.28/0.51 % (3341273)Instruction limit reached!
% 1.28/0.51 % (3341273)------------------------------
% 1.28/0.51 % (3341273)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.51 % (3341273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.51 % (3341273)CaDiCaL version: 2.1.3
% 1.28/0.51 % (3341273)Termination reason: Instruction limit
% 1.28/0.51 % (3341273)Termination phase: shuffling
% 1.28/0.51 % (3341273)Time elapsed: 0.001 s
% 1.28/0.51 % (3341273)Peak memory usage: 10 MB
% 1.28/0.51 % (3341273)Instructions burned: 3 (million)
% 1.28/0.51 % (3341269)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2283502547:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.28/0.51 % (3341263)Refutation not found, incomplete strategy
% 1.28/0.51 % (3341263)------------------------------
% 1.28/0.51 % (3341263)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.51 % (3341263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.51 % (3341263)CaDiCaL version: 2.1.3
% 1.28/0.51 % (3341263)Termination reason: Refutation not found, incomplete strategy
% 1.28/0.51 % (3341263)Time elapsed: 0.022 s
% 1.28/0.51 % (3341263)Peak memory usage: 12 MB
% 1.28/0.51 % (3341263)Instructions burned: 47 (million)
% 1.28/0.51 % (3341263)------------------------------
% 1.28/0.51 % (3341263)------------------------------
% 1.28/0.51 % (3341278)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3429250179:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.28/0.51 % (3341269)Instruction limit reached!
% 1.28/0.51 % (3341269)------------------------------
% 1.28/0.51 % (3341269)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.51 % (3341269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.51 % (3341269)CaDiCaL version: 2.1.3
% 1.28/0.51 % (3341269)Termination reason: Instruction limit
% 1.28/0.51 % (3341269)Termination phase: shuffling
% 1.28/0.51 % (3341269)Time elapsed: 0.007 s
% 1.28/0.51 % (3341269)Peak memory usage: 10 MB
% 1.28/0.51 % (3341269)Instructions burned: 16 (million)
% 1.28/0.51 % (3341275)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2577991482:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.28/0.51 % (3341277)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=351451476:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.28/0.51 % (3341280)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
% 1.28/0.56 % (3341280)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.28/0.56 % (3341282)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.28/0.56 % (3341278)Instruction limit reached!
% 1.28/0.56 % (3341278)------------------------------
% 1.28/0.56 % (3341278)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.56 % (3341278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.56 % (3341278)CaDiCaL version: 2.1.3
% 1.28/0.56 % (3341278)Termination reason: Instruction limit
% 1.28/0.56 % (3341278)Termination phase: Preprocessing 3
% 1.28/0.56 % (3341278)Time elapsed: 0.016 s
% 1.28/0.56 % (3341278)Peak memory usage: 12 MB
% 1.28/0.56 % (3341278)Instructions burned: 62 (million)
% 1.28/0.56 % (3341280)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=2580366314:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.28/0.56 % (3341277)Instruction limit reached!
% 1.28/0.56 % (3341277)------------------------------
% 1.28/0.56 % (3341277)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.56 % (3341277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.56 % (3341277)CaDiCaL version: 2.1.3
% 1.28/0.56 % (3341277)Termination reason: Instruction limit
% 1.28/0.56 % (3341277)Termination phase: shuffling
% 1.28/0.56 % (3341277)Time elapsed: 0.011 s
% 1.28/0.56 % (3341277)Peak memory usage: 10 MB
% 1.28/0.56 % (3341277)Instructions burned: 23 (million)
% 1.28/0.56 % (3341275)Instruction limit reached!
% 1.28/0.56 % (3341275)------------------------------
% 1.28/0.56 % (3341275)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.56 % (3341275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.56 % (3341275)CaDiCaL version: 2.1.3
% 1.28/0.56 % (3341275)Termination reason: Instruction limit
% 1.28/0.56 % (3341275)Termination phase: shuffling
% 1.28/0.56 % (3341275)Time elapsed: 0.013 s
% 1.28/0.56 % (3341275)Peak memory usage: 10 MB
% 1.28/0.56 % (3341275)Instructions burned: 26 (million)
% 1.28/0.56 % (3341282)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=1203700162:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.28/0.56 % (3341282)Instruction limit reached!
% 1.28/0.56 % (3341282)------------------------------
% 1.28/0.56 % (3341282)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.56 % (3341282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.56 % (3341282)CaDiCaL version: 2.1.3
% 1.28/0.56 % (3341282)Termination reason: Instruction limit
% 1.28/0.56 % (3341282)Termination phase: shuffling
% 1.28/0.56 % (3341282)Time elapsed: 0.004 s
% 1.28/0.56 % (3341282)Peak memory usage: 10 MB
% 1.28/0.56 % (3341282)Instructions burned: 8 (million)
% 1.28/0.56 % (3341280)Instruction limit reached!
% 1.28/0.56 % (3341280)------------------------------
% 1.28/0.56 % (3341280)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.56 % (3341280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.56 % (3341280)CaDiCaL version: 2.1.3
% 1.28/0.56 % (3341280)Termination reason: Instruction limit
% 1.28/0.56 % (3341280)Termination phase: shuffling
% 1.28/0.56 % (3341280)Time elapsed: 0.007 s
% 1.28/0.56 % (3341280)Peak memory usage: 10 MB
% 1.28/0.56 % (3341280)Instructions burned: 15 (million)
% 1.28/0.56 % (3341285)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=1711002135:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.28/0.56 % (3341285)Instruction limit reached!
% 1.28/0.56 % (3341285)------------------------------
% 1.28/0.56 % (3341285)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.56 % (3341285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.56 % (3341285)CaDiCaL version: 2.1.3
% 1.28/0.56 % (3341285)Termination reason: Instruction limit
% 1.28/0.56 % (3341285)Termination phase: shuffling
% 1.28/0.56 % (3341285)Time elapsed: 0.008 s
% 1.28/0.56 % (3341285)Peak memory usage: 10 MB
% 1.28/0.56 % (3341285)Instructions burned: 34 (million)
% 1.28/0.56 % (3341288)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=3467229794:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.98/0.62 % (3341289)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=1151961059:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.98/0.62 % (3341288)Instruction limit reached!
% 1.98/0.62 % (3341288)------------------------------
% 1.98/0.62 % (3341288)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.98/0.62 % (3341288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.98/0.62 % (3341288)CaDiCaL version: 2.1.3
% 1.98/0.62 % (3341288)Termination reason: Instruction limit
% 1.98/0.62 % (3341288)Termination phase: shuffling
% 1.98/0.62 % (3341288)Time elapsed: 0.003 s
% 1.98/0.62 % (3341288)Peak memory usage: 10 MB
% 1.98/0.62 % (3341288)Instructions burned: 7 (million)
% 1.98/0.62 % (3341290)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1195401810:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.98/0.62 % (3341292)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=4071191917:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.98/0.62 % (3341293)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=581442772:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.98/0.62 % (3341289)Instruction limit reached!
% 1.98/0.62 % (3341289)------------------------------
% 1.98/0.62 % (3341289)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.98/0.62 % (3341289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.98/0.62 % (3341289)CaDiCaL version: 2.1.3
% 1.98/0.62 % (3341289)Termination reason: Instruction limit
% 1.98/0.62 % (3341289)Termination phase: shuffling
% 1.98/0.62 % (3341289)Time elapsed: 0.011 s
% 1.98/0.62 % (3341289)Peak memory usage: 10 MB
% 1.98/0.62 % (3341289)Instructions burned: 25 (million)
% 1.98/0.62 % (3341290)Instruction limit reached!
% 1.98/0.62 % (3341290)------------------------------
% 1.98/0.62 % (3341290)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.98/0.62 % (3341290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.98/0.62 % (3341290)CaDiCaL version: 2.1.3
% 1.98/0.62 % (3341290)Termination reason: Instruction limit
% 1.98/0.62 % (3341290)Termination phase: shuffling
% 1.98/0.62 % (3341290)Time elapsed: 0.009 s
% 1.98/0.62 % (3341290)Peak memory usage: 10 MB
% 1.98/0.62 % (3341290)Instructions burned: 20 (million)
% 1.98/0.62 % (3341296)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=3326350910:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.98/0.62 % (3341301)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.98/0.62 % (3341300)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1125485800:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 1.98/0.62 % (3341301)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2642309191:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 1.98/0.62 % (3341301)Instruction limit reached!
% 1.98/0.62 % (3341301)------------------------------
% 1.98/0.62 % (3341301)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.98/0.62 % (3341301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.98/0.62 % (3341301)CaDiCaL version: 2.1.3
% 1.98/0.62 % (3341301)Termination reason: Instruction limit
% 1.98/0.62 % (3341301)Termination phase: shuffling
% 1.98/0.62 % (3341301)Time elapsed: 0.004 s
% 1.98/0.62 % (3341301)Peak memory usage: 10 MB
% 1.98/0.62 % (3341301)Instructions burned: 8 (million)
% 1.98/0.62 % (3341293)Instruction limit reached!
% 1.98/0.62 % (3341293)------------------------------
% 1.98/0.62 % (3341293)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.98/0.62 % (3341293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.98/0.62 % (3341293)CaDiCaL version: 2.1.3
% 1.98/0.62 % (3341293)Termination reason: Instruction limit
% 1.98/0.62 % (3341293)Termination phase: Saturation
% 1.98/0.62 % (3341293)Time elapsed: 0.034 s
% 1.98/0.62 % (3341293)Peak memory usage: 13 MB
% 1.98/0.62 % (3341293)Instructions burned: 146 (million)
% 2.24/0.69 % (3341296)Refutation not found, incomplete strategy
% 2.24/0.69 % (3341296)------------------------------
% 2.24/0.69 % (3341296)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.24/0.69 % (3341296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/0.69 % (3341296)CaDiCaL version: 2.1.3
% 2.24/0.69 % (3341296)Termination reason: Refutation not found, incomplete strategy
% 2.24/0.69 % (3341296)Time elapsed: 0.025 s
% 2.24/0.69 % (3341296)Peak memory usage: 13 MB
% 2.24/0.69 % (3341296)Instructions burned: 53 (million)
% 2.24/0.69 % (3341296)------------------------------
% 2.24/0.69 % (3341296)------------------------------
% 2.24/0.69 % (3341306)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=294273866: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)
% 2.24/0.69 % (3341300)Instruction limit reached!
% 2.24/0.69 % (3341300)------------------------------
% 2.24/0.69 % (3341300)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.24/0.69 % (3341300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/0.69 % (3341300)CaDiCaL version: 2.1.3
% 2.24/0.69 % (3341300)Termination reason: Instruction limit
% 2.24/0.69 % (3341300)Termination phase: Preprocessing 1
% 2.24/0.69 % (3341300)Time elapsed: 0.019 s
% 2.24/0.69 % (3341300)Peak memory usage: 10 MB
% 2.24/0.69 % (3341300)Instructions burned: 43 (million)
% 2.24/0.69 % (3341305)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=1128245198:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.24/0.69 % (3341307)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.24/0.69 % (3341307)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=1096456923:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.24/0.69 % (3341309)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1272520936:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.24/0.69 % (3341307)Instruction limit reached!
% 2.24/0.69 % (3341307)------------------------------
% 2.24/0.69 % (3341307)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.24/0.69 % (3341307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/0.69 % (3341307)CaDiCaL version: 2.1.3
% 2.24/0.69 % (3341307)Termination reason: Instruction limit
% 2.24/0.69 % (3341307)Termination phase: shuffling
% 2.24/0.69 % (3341307)Time elapsed: 0.003 s
% 2.24/0.69 % (3341307)Peak memory usage: 10 MB
% 2.24/0.69 % (3341307)Instructions burned: 6 (million)
% 2.24/0.69 % (3341305)Refutation not found, incomplete strategy
% 2.24/0.69 % (3341305)------------------------------
% 2.24/0.69 % (3341305)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.24/0.69 % (3341305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/0.69 % (3341305)CaDiCaL version: 2.1.3
% 2.24/0.69 % (3341305)Termination reason: Refutation not found, incomplete strategy
% 2.24/0.69 % (3341305)Time elapsed: 0.020 s
% 2.24/0.69 % (3341305)Peak memory usage: 12 MB
% 2.24/0.69 % (3341305)Instructions burned: 44 (million)
% 2.24/0.69 % (3341305)------------------------------
% 2.24/0.69 % (3341305)------------------------------
% 2.24/0.69 % (3341309)Instruction limit reached!
% 2.24/0.69 % (3341309)------------------------------
% 2.24/0.69 % (3341309)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.24/0.69 % (3341309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.24/0.69 % (3341309)CaDiCaL version: 2.1.3
% 2.24/0.69 % (3341309)Termination reason: Instruction limit
% 2.24/0.69 % (3341309)Termination phase: shuffling
% 2.24/0.69 % (3341309)Time elapsed: 0.010 s
% 2.24/0.69 % (3341309)Peak memory usage: 10 MB
% 2.24/0.69 % (3341309)Instructions burned: 22 (million)
% 2.24/0.69 % (3341313)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1282481515:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.24/0.69 % (3341306)Instruction limit reached!
% 2.24/0.69 % (3341306)------------------------------
% 2.24/0.69 % (3341306)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.51/0.70 % (3341306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.51/0.70 % (3341306)CaDiCaL version: 2.1.3
% 2.51/0.70 % (3341306)Termination reason: Instruction limit
% 2.51/0.70 % (3341306)Termination phase: Saturation
% 2.51/0.70 % (3341306)Time elapsed: 0.045 s
% 2.51/0.70 % (3341306)Peak memory usage: 15 MB
% 2.51/0.70 % (3341306)Instructions burned: 171 (million)
% 2.51/0.70 % (3341314)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=325550976:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.51/0.70 % (3341313)Instruction limit reached!
% 2.51/0.70 % (3341313)------------------------------
% 2.51/0.70 % (3341313)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.51/0.70 % (3341313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.51/0.70 % (3341313)CaDiCaL version: 2.1.3
% 2.51/0.70 % (3341313)Termination reason: Instruction limit
% 2.51/0.70 % (3341313)Termination phase: shuffling
% 2.51/0.70 % (3341313)Time elapsed: 0.010 s
% 2.51/0.70 % (3341313)Peak memory usage: 10 MB
% 2.51/0.70 % (3341313)Instructions burned: 21 (million)
% 2.51/0.70 % (3341315)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=1121084013:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2997 on theBenchmark for (2997ds/853Mi)
% 2.51/0.70 % (3341268)Instruction limit reached!
% 2.51/0.70 % (3341268)------------------------------
% 2.51/0.70 % (3341268)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.51/0.70 % (3341268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.51/0.70 % (3341268)CaDiCaL version: 2.1.3
% 2.51/0.70 % (3341268)Termination reason: Instruction limit
% 2.51/0.70 % (3341268)Termination phase: Saturation
% 2.51/0.70 % (3341268)Time elapsed: 0.160 s
% 2.51/0.70 % (3341268)Peak memory usage: 14 MB
% 2.51/0.70 % (3341268)Instructions burned: 328 (million)
% 2.51/0.70 % (3341317)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=314208972:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2997 on theBenchmark for (2997ds/45Mi)
% 2.51/0.70 % (3341319)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=68609595:i=480:rtra=on_2997 on theBenchmark for (2997ds/480Mi)
% 2.51/0.70 % (3341317)Instruction limit reached!
% 2.51/0.70 % (3341317)------------------------------
% 2.51/0.70 % (3341317)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.51/0.70 % (3341317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.51/0.70 % (3341317)CaDiCaL version: 2.1.3
% 2.51/0.70 % (3341317)Termination reason: Instruction limit
% 2.51/0.70 % (3341317)Termination phase: Property scanning
% 2.51/0.70 % (3341317)Time elapsed: 0.011 s
% 2.51/0.70 % (3341317)Peak memory usage: 10 MB
% 2.51/0.70 % (3341317)Instructions burned: 50 (million)
% 2.51/0.70 % (3341321)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=485016949:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2997 on theBenchmark for (2997ds/21Mi)
% 2.51/0.70 % (3341324)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.51/0.70 % (3341324)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=3150511927:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 2.51/0.70 % (3341321)Instruction limit reached!
% 2.51/0.70 % (3341321)------------------------------
% 2.51/0.70 % (3341321)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.51/0.70 % (3341321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.51/0.70 % (3341321)CaDiCaL version: 2.1.3
% 2.51/0.70 % (3341321)Termination reason: Instruction limit
% 2.51/0.70 % (3341321)Termination phase: shuffling
% 2.51/0.70 % (3341321)Time elapsed: 0.010 s
% 2.51/0.70 % (3341321)Peak memory usage: 10 MB
% 2.51/0.70 % (3341321)Instructions burned: 21 (million)
% 2.51/0.70 % (3341327)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=4103601755:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 2.51/0.70 % (3341327)Instruction limit reached!
% 2.51/0.70 % (3341327)------------------------------
% 2.51/0.70 % (3341327)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.51/0.70 % (3341327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.51/0.70 % (3341327)CaDiCaL version: 2.1.3
% 2.51/0.70 % (3341327)Termination reason: Instruction limit
% 2.51/0.70 % (3341327)Termination phase: shuffling
% 2.51/0.70 % (3341327)Time elapsed: 0.006 s
% 2.51/0.70 % (3341327)Peak memory usage: 10 MB
% 2.51/0.70 % (3341327)Instructions burned: 13 (million)
% 2.51/0.70 % (3341329)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=1251155451:i=66:s2at=3:nm=2:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/66Mi)
% 2.51/0.70 % (3341324)Instruction limit reached!
% 2.51/0.70 % (3341324)------------------------------
% 2.51/0.70 % (3341324)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.51/0.70 % (3341324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.51/0.70 % (3341324)CaDiCaL version: 2.1.3
% 2.51/0.70 % (3341324)Termination reason: Instruction limit
% 2.51/0.70 % (3341324)Termination phase: Saturation
% 2.51/0.70 % (3341324)Time elapsed: 0.048 s
% 2.51/0.70 % (3341324)Peak memory usage: 14 MB
% 2.51/0.70 % (3341324)Instructions burned: 201 (million)
% 2.51/0.70 % (3341331)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=4172432287:i=51:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/51Mi)
% 2.51/0.70 % (3341331)Instruction limit reached!
% 2.51/0.70 % (3341331)------------------------------
% 2.51/0.70 % (3341331)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.51/0.70 % (3341331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.51/0.70 % (3341331)CaDiCaL version: 2.1.3
% 2.51/0.70 % (3341331)Termination reason: Instruction limit
% 2.51/0.70 % (3341331)Termination phase: Preprocessing 3
% 2.51/0.70 % (3341331)Time elapsed: 0.013 s
% 2.51/0.70 % (3341331)Peak memory usage: 11 MB
% 2.51/0.70 % (3341331)Instructions burned: 53 (million)
% 2.51/0.70 % (3341329)Instruction limit reached!
% 2.51/0.70 % (3341329)------------------------------
% 2.51/0.70 % (3341329)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.51/0.70 % (3341329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.51/0.70 % (3341329)CaDiCaL version: 2.1.3
% 2.51/0.70 % (3341329)Termination reason: Instruction limit
% 2.51/0.70 % (3341329)Termination phase: Property scanning
% 2.51/0.70 % (3341329)Time elapsed: 0.030 s
% 2.51/0.70 % (3341329)Peak memory usage: 11 MB
% 2.51/0.70 % (3341329)Instructions burned: 68 (million)
% 2.51/0.70 % (3341236)Instruction limit reached!
% 2.51/0.70 % (3341236)------------------------------
% 2.51/0.70 % (3341236)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.51/0.70 % (3341236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.51/0.70 % (3341236)CaDiCaL version: 2.1.3
% 2.51/0.70 % (3341236)Termination reason: Instruction limit
% 2.51/0.70 % (3341236)Termination phase: Saturation
% 2.51/0.70 % (3341236)Time elapsed: 0.345 s
% 2.51/0.70 % (3341236)Peak memory usage: 17 MB
% 2.51/0.70 % (3341236)Instructions burned: 635 (million)
% 2.51/0.70 % (3341333)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=460606030:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/31Mi)
% 2.51/0.70 % (3341333)Instruction limit reached!
% 2.51/0.70 % (3341333)------------------------------
% 2.51/0.70 % (3341333)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.51/0.70 % (3341333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.51/0.70 % (3341333)CaDiCaL version: 2.1.3
% 2.51/0.70 % (3341333)Termination reason: Instruction limit
% 2.51/0.70 % (3341333)Termination phase: shuffling
% 2.51/0.70 % (3341333)Time elapsed: 0.008 s
% 2.51/0.70 % (3341333)Peak memory usage: 11 MB
% 2.51/0.70 % (3341333)Instructions burned: 35 (million)
% 2.51/0.70 % (3341334)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=2932831005:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2996 on theBenchmark for (2996ds/137Mi)
% 2.51/0.70 % (3341335)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=3158450244:cond=on:i=34:hud=10:nm=10:rtra=on_2996 on theBenchmark for (2996ds/34Mi)
% 2.51/0.70 % (3341337)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=3024009630:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2995 on theBenchmark for (2995ds/67Mi)
% 2.51/0.70 % (3341292) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3341228-3341292"...
% 2.51/0.70 % (3341292)...printing done.
% 2.51/0.70 % (3341292)Refutation found. Thanks to Tanya!
% 2.51/0.70 % SZS status Theorem for theBenchmark
% 2.51/0.70 % SZS output start Proof for theBenchmark
% 2.51/0.70 thf(type_def_5, type, late_residual: $tType).
% 2.51/0.70 thf(type_def_6, type, late_subject: $tType).
% 2.51/0.70 thf(type_def_7, type, late_freeRes: $tType).
% 2.51/0.70 thf(type_def_8, type, product_prod: ($tType * $tType) > $tType).
% 2.51/0.70 thf(type_def_9, type, noption: $tType > $tType).
% 2.51/0.70 thf(type_def_10, type, name: $tType).
% 2.51/0.70 thf(type_def_11, type, pi: $tType).
% 2.51/0.70 thf(type_def_12, type, set: $tType > $tType).
% 2.51/0.70 thf(type_def_13, type, sTfun: ($tType * $tType) > $tType).
% 2.51/0.70 thf(func_def_0, type, type: !>[X0: $tType]:($o)).
% 2.51/0.70 thf(func_def_1, type, fs_name: !>[X0: $tType]:($o)).
% 2.51/0.70 thf(func_def_2, type, ord: !>[X0: $tType]:($o)).
% 2.51/0.70 thf(func_def_3, type, order: !>[X0: $tType]:($o)).
% 2.51/0.70 thf(func_def_4, type, linorder: !>[X0: $tType]:($o)).
% 2.51/0.70 thf(func_def_5, type, preorder: !>[X0: $tType]:($o)).
% 2.51/0.70 thf(func_def_6, type, input: (name > name > pi > pi)).
% 2.51/0.70 thf(func_def_7, type, mismatch: (name > name > pi > pi)).
% 2.51/0.70 thf(func_def_8, type, output: (name > name > pi > pi)).
% 2.51/0.70 thf(func_def_9, type, par: (pi > pi > pi)).
% 2.51/0.70 thf(func_def_10, type, piNil: pi).
% 2.51/0.70 thf(func_def_11, type, res: (name > pi > pi)).
% 2.51/0.70 thf(func_def_12, type, sum: (pi > pi > pi)).
% 2.51/0.70 thf(func_def_13, type, tau: (pi > pi)).
% 2.51/0.70 thf(func_def_14, type, subs: (pi > name > name > pi)).
% 2.51/0.70 thf(func_def_15, type, late_OutputR: (name > name > late_freeRes)).
% 2.51/0.70 thf(func_def_16, type, late_TauR: late_freeRes).
% 2.51/0.70 thf(func_def_17, type, late_freeRes_rec: !>[X0: $tType]:(((name > name > X0) > X0 > late_freeRes > X0))).
% 2.51/0.70 thf(func_def_18, type, late_BoundR: (late_subject > name > pi > late_residual)).
% 2.51/0.70 thf(func_def_19, type, late_FreeR: (late_freeRes > pi > late_residual)).
% 2.51/0.70 thf(func_def_20, type, late_BoundOutputS: (name > late_subject)).
% 2.51/0.70 thf(func_def_21, type, late_InputS: (name > late_subject)).
% 2.51/0.70 thf(func_def_22, type, late_subject_rec: !>[X0: $tType]:(((name > X0) > (name > X0) > late_subject > X0))).
% 2.51/0.70 thf(func_def_23, type, late_transitions: (pi > late_residual > $o)).
% 2.51/0.70 thf(func_def_24, type, abs_fun: !>[X0: $tType, X1: $tType]:((X0 > X1 > X0 > noption @ X1))).
% 2.51/0.70 thf(func_def_25, type, fresh: !>[X0: $tType, X1: $tType]:((X0 > X1 > $o))).
% 2.51/0.70 thf(func_def_26, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 2.51/0.70 thf(func_def_27, type, product_Pair: !>[X0: $tType, X1: $tType]:((X0 > X1 > product_prod @ X0 @ X1))).
% 2.51/0.70 thf(func_def_28, type, produc2004651681e_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 2.51/0.70 thf(func_def_29, type, product_rec_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 2.51/0.70 thf(func_def_30, type, eqvt: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > $o))).
% 2.51/0.70 thf(func_def_31, type, id: !>[X0: $tType]:(set @ product_prod @ X0 @ X0)).
% 2.51/0.70 thf(func_def_32, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 2.51/0.70 thf(func_def_33, type, strong2129052853vative: (pi > pi > late_subject > name > set @ product_prod @ pi @ pi > $o)).
% 2.51/0.70 thf(func_def_34, type, strong743114133lation: (pi > set @ product_prod @ pi @ pi > pi > $o)).
% 2.51/0.70 thf(func_def_35, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 2.51/0.70 thf(func_def_36, type, p: pi).
% 2.51/0.70 thf(func_def_37, type, pq: pi).
% 2.51/0.70 thf(func_def_38, type, q: pi).
% 2.51/0.70 thf(func_def_39, type, rel: set @ product_prod @ pi @ pi).
% 2.51/0.70 thf(func_def_40, type, a: late_subject).
% 2.51/0.70 thf(func_def_41, type, x: name).
% 2.51/0.70 thf(func_def_42, type, y: name).
% 2.51/0.70 thf(func_def_44, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 2.51/0.70 thf(func_def_45, type, vIMP: ($o > $o > $o)).
% 2.51/0.70 thf(func_def_46, type, db0: !>[X0: $tType]:(X0)).
% 2.51/0.70 thf(func_def_47, type, db2: !>[X0: $tType]:(X0)).
% 2.51/0.70 thf(func_def_48, type, db1: !>[X0: $tType]:(X0)).
% 2.51/0.70 thf(func_def_49, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 2.51/0.70 thf(func_def_50, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 2.51/0.70 thf(func_def_53, type, db3: !>[X0: $tType]:(X0)).
% 2.51/0.70 thf(func_def_54, type, vNOT: ($o > $o)).
% 2.51/0.70 thf(func_def_55, type, db5: !>[X0: $tType]:(X0)).
% 2.51/0.70 thf(func_def_56, type, db4: !>[X0: $tType]:(X0)).
% 2.51/0.70 thf(func_def_57, type, db6: !>[X0: $tType]:(X0)).
% 2.51/0.70 thf(func_def_58, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 2.51/0.70 thf(func_def_59, type, vAND: ($o > $o > $o)).
% 2.51/0.70 thf(func_def_60, type, vOR: ($o > $o > $o)).
% 2.51/0.70 thf(func_def_61, type, db7: !>[X0: $tType]:(X0)).
% 2.51/0.70 thf(func_def_62, type, db8: !>[X0: $tType]:(X0)).
% 2.51/0.70 thf(func_def_63, type, db9: !>[X0: $tType]:(X0)).
% 2.51/0.70 thf(func_def_64, type, db10: !>[X0: $tType]:(X0)).
% 2.51/0.70 thf(func_def_65, type, sK0: !>[X0: $tType]:((X0 > name))).
% 2.51/0.70 thf(func_def_67, type, sK2: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > X0))).
% 2.51/0.70 thf(func_def_68, type, sK3: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > X1))).
% 2.51/0.70 thf(func_def_69, type, sK4: (late_freeRes > name)).
% 2.51/0.70 thf(func_def_70, type, sK5: (late_freeRes > name)).
% 2.51/0.70 thf(func_def_71, type, sK6: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > X1))).
% 2.51/0.70 thf(func_def_72, type, sK7: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > X0))).
% 2.51/0.70 thf(func_def_73, type, sK8: (late_subject > name)).
% 2.51/0.70 thf(func_def_74, type, sK9: (late_subject > name)).
% 2.51/0.70 thf(f2,axiom,(
% 2.51/0.70 (fresh @ name @ product_prod @ name @ product_prod @ pi @ pi @ y @ (product_Pair @ name @ product_prod @ pi @ pi @ x @ (product_Pair @ pi @ pi @ p @ q)))),
% 2.51/0.70 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_Bound_Ohyps_I5_J)).
% 2.51/0.70 thf(f13,axiom,(
% 2.51/0.70 ! [X2 : $tType,X1 : $tType,X0 : $tType,X5 : X0,X4 : X2,X3 : X1] : ((fresh @ X1 @ product_prod @ X2 @ X0 @ X3 @ (product_Pair @ X2 @ X0 @ X4 @ X5)) => (fresh @ X1 @ X2 @ X3 @ X4))),
% 2.51/0.70 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_12_fresh__prodD_I1_J)).
% 2.51/0.70 thf(f170,axiom,(
% 2.51/0.70 (fresh @ name @ name = (^[X0 : name, X1 : name] : ((X0 != X1))))),
% 2.51/0.70 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_169_name__fresh)).
% 2.51/0.70 thf(f274,conjecture,(
% 2.51/0.70 (y != x)),
% 2.51/0.70 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 2.51/0.70 thf(f275,negated_conjecture,(
% 2.51/0.70 ~ (y != x)),
% 2.51/0.70 inference(negated_conjecture,[status(cth)],[f274])).
% 2.51/0.70 thf(f338,plain,(
% 2.51/0.70 ! [X0 : $tType,X1 : $tType,X2 : $tType,X3 : X2,X4 : X0,X5 : X1] : ((fresh @ X1 @ product_prod @ X0 @ X2 @ X5 @ (product_Pair @ X0 @ X2 @ X4 @ X3)) => (fresh @ X1 @ X0 @ X5 @ X4))),
% 2.51/0.70 inference(rectify,[],[f13])).
% 2.51/0.70 thf(f339,plain,(
% 2.51/0.70 ( ! [X1 : $tType,X0 : $tType,X2 : $tType] : ((((!! @ X1 @ (^[Y0 : X1]: (!! @ X0 @ (^[Y1 : X0]: (!! @ X2 @ (^[Y2 : X2]: ((fresh @ X1 @ product_prod @ X0 @ X2 @ Y0 @ (product_Pair @ X0 @ X2 @ Y1 @ Y2)) => (fresh @ X1 @ X0 @ Y0 @ Y1))))))))) = $true)) )),
% 2.51/0.70 inference(fool_elimination,[],[f338])).
% 2.51/0.70 thf(f398,plain,(
% 2.51/0.70 (fresh @ name @ name = (^[Y0 : name]: ((^[Y1 : name]: (~ (Y0 = Y1))))))),
% 2.51/0.70 inference(fool_elimination,[],[f170])).
% 2.51/0.70 thf(f523,plain,(
% 2.51/0.70 (((~ (~ (y = x)))) = $true)),
% 2.51/0.70 inference(fool_elimination,[],[f275])).
% 2.51/0.70 thf(f571,plain,(
% 2.51/0.70 (fresh @ name @ product_prod @ name @ product_prod @ pi @ pi @ y @ (product_Pair @ name @ product_prod @ pi @ pi @ x @ (product_Pair @ pi @ pi @ p @ q)))),
% 2.51/0.70 inference(rectify,[],[f2])).
% 2.51/0.70 thf(f572,plain,(
% 2.51/0.70 (((fresh @ name @ product_prod @ name @ product_prod @ pi @ pi @ y @ (product_Pair @ name @ product_prod @ pi @ pi @ x @ (product_Pair @ pi @ pi @ p @ q)))) = $true)),
% 2.51/0.70 inference(fool_elimination,[],[f571])).
% 2.51/0.70 thf(f819,plain,(
% 2.51/0.70 ( ! [X1 : $tType,X0 : $tType,X2 : $tType] : ((((!! @ X0 @ (^[Y0 : X0]: (!! @ X1 @ (^[Y1 : X1]: (!! @ X2 @ (^[Y2 : X2]: ((fresh @ X0 @ product_prod @ X1 @ X2 @ Y0 @ (product_Pair @ X1 @ X2 @ Y1 @ Y2)) => (fresh @ X0 @ X1 @ Y0 @ Y1))))))))) = $true)) )),
% 2.51/0.70 inference(rectify,[],[f339])).
% 2.51/0.70 thf(f820,plain,(
% 2.51/0.70 ! [X1 : $tType,X2 : $tType,X0 : $tType] : (((!! @ X0 @ (^[Y0 : X0]: (!! @ X1 @ (^[Y1 : X1]: (!! @ X2 @ (^[Y2 : X2]: ((fresh @ X0 @ product_prod @ X1 @ X2 @ Y0 @ (product_Pair @ X1 @ X2 @ Y1 @ Y2)) => (fresh @ X0 @ X1 @ Y0 @ Y1))))))))) = $true)),
% 2.51/0.70 inference(closure,[],[f819])).
% 2.51/0.70 thf(f934,plain,(
% 2.51/0.70 ! [X0 : $tType,X1 : $tType,X2 : $tType] : (((!! @ X2 @ (^[Y0 : X2]: (!! @ X0 @ (^[Y1 : X0]: (!! @ X1 @ (^[Y2 : X1]: ((fresh @ X2 @ product_prod @ X0 @ X1 @ Y0 @ (product_Pair @ X0 @ X1 @ Y1 @ Y2)) => (fresh @ X2 @ X0 @ Y0 @ Y1))))))))) = $true)),
% 2.51/0.70 inference(rectify,[],[f820])).
% 2.51/0.70 thf(f1021,plain,(
% 2.51/0.70 (((~ (~ (y = x)))) = $true)),
% 2.51/0.70 inference(cnf_transformation,[],[f523])).
% 2.51/0.70 thf(f1039,plain,(
% 2.51/0.70 (((fresh @ name @ product_prod @ name @ product_prod @ pi @ pi @ y @ (product_Pair @ name @ product_prod @ pi @ pi @ x @ (product_Pair @ pi @ pi @ p @ q)))) = $true)),
% 2.51/0.70 inference(cnf_transformation,[],[f572])).
% 2.51/0.70 thf(f1058,plain,(
% 2.51/0.70 ( ! [X1 : $tType,X0 : $tType,X2 : $tType] : ((((!! @ X2 @ (^[Y0 : X2]: (!! @ X0 @ (^[Y1 : X0]: (!! @ X1 @ (^[Y2 : X1]: ((fresh @ X2 @ product_prod @ X0 @ X1 @ Y0 @ (product_Pair @ X0 @ X1 @ Y1 @ Y2)) => (fresh @ X2 @ X0 @ Y0 @ Y1))))))))) = $true)) )),
% 2.51/0.70 inference(cnf_transformation,[],[f934])).
% 2.51/0.70 thf(f1079,plain,(
% 2.51/0.70 (fresh @ name @ name = (^[Y0 : name]: ((^[Y1 : name]: (~ (Y0 = Y1))))))),
% 2.51/0.70 inference(cnf_transformation,[],[f398])).
% 2.51/0.70 thf(f1261,plain,(
% 2.51/0.70 (((y = x)) = $true)),
% 2.51/0.70 inference(boolean_simplification,[],[f1021])).
% 2.51/0.70 thf(f1300,plain,(
% 2.51/0.70 (y = x)),
% 2.51/0.70 inference(equality_proxy_clausification,[],[f1261])).
% 2.51/0.70 thf(f1347,plain,(
% 2.51/0.70 ( ! [X1 : name] : (((((^[Y0 : name]: ((^[Y1 : name]: (~ (Y0 = Y1))))) @ X1)) = ((fresh @ name @ name @ X1)))) )),
% 2.51/0.70 inference(argument_congruence,[],[f1079])).
% 2.51/0.70 thf(f1348,plain,(
% 2.51/0.70 ( ! [X1 : name] : ((((fresh @ name @ name @ X1)) = (^[Y0 : name]: (~ (X1 = Y0))))) )),
% 2.51/0.70 inference(beta-eta_normalization,[],[f1347])).
% 2.51/0.70 thf(f1352,plain,(
% 2.51/0.70 ( ! [X2 : name,X1 : name] : ((((fresh @ name @ name @ X1 @ X2)) = (((^[Y0 : name]: (~ (X1 = Y0))) @ X2)))) )),
% 2.51/0.70 inference(argument_congruence,[],[f1348])).
% 2.51/0.70 thf(f1353,plain,(
% 2.51/0.70 ( ! [X2 : name,X1 : name] : ((((fresh @ name @ name @ X1 @ X2)) = ((~ (X1 = X2))))) )),
% 2.51/0.70 inference(beta-eta_normalization,[],[f1352])).
% 2.51/0.70 thf(f1355,plain,(
% 2.51/0.70 ( ! [X2 : name,X1 : name] : ((((~ (X1 = X2))) = $true) | (((fresh @ name @ name @ X1 @ X2)) = $false)) )),
% 2.51/0.70 inference(iff_proxy_clausification,[],[f1353])).
% 2.51/0.70 thf(f1356,plain,(
% 2.51/0.70 ( ! [X2 : name,X1 : name] : ((((X1 = X2)) = $false) | (((fresh @ name @ name @ X1 @ X2)) = $false)) )),
% 2.51/0.70 inference(not_proxy_clausification,[],[f1355])).
% 2.51/0.70 thf(f1358,plain,(
% 2.51/0.70 ( ! [X2 : name,X1 : name] : ((((fresh @ name @ name @ X1 @ X2)) = $false) | (X1 != X2)) )),
% 2.51/0.70 inference(equality_proxy_clausification,[],[f1356])).
% 2.51/0.70 thf(f1654,plain,(
% 2.51/0.70 ($true = ((fresh @ name @ product_prod @ name @ product_prod @ pi @ pi @ x @ (product_Pair @ name @ product_prod @ pi @ pi @ x @ (product_Pair @ pi @ pi @ p @ q)))))),
% 2.51/0.70 inference(forward_demodulation,[],[f1039,f1300])).
% 2.51/0.70 thf(f2801,plain,(
% 2.51/0.70 ( ! [X1 : $tType,X0 : $tType,X2 : $tType,X3 : X2] : (((((^[Y0 : X2]: (!! @ X0 @ (^[Y1 : X0]: (!! @ X1 @ (^[Y2 : X1]: ((fresh @ X2 @ product_prod @ X0 @ X1 @ Y0 @ (product_Pair @ X0 @ X1 @ Y1 @ Y2)) => (fresh @ X2 @ X0 @ Y0 @ Y1))))))) @ X3)) = $true)) )),
% 2.51/0.70 inference(pi_proxy_clausification,[],[f1058])).
% 2.51/0.70 thf(f2802,plain,(
% 2.51/0.70 ( ! [X1 : $tType,X0 : $tType,X2 : $tType,X3 : X2] : (($true = ((!! @ X0 @ (^[Y0 : X0]: (!! @ X1 @ (^[Y1 : X1]: ((fresh @ X2 @ product_prod @ X0 @ X1 @ X3 @ (product_Pair @ X0 @ X1 @ Y0 @ Y1)) => (fresh @ X2 @ X0 @ X3 @ Y0))))))))) )),
% 2.51/0.70 inference(beta-eta_normalization,[],[f2801])).
% 2.51/0.70 thf(f2803,plain,(
% 2.51/0.70 ( ! [X1 : $tType,X0 : $tType,X2 : $tType,X3 : X2,X4 : X0] : (((((^[Y0 : X0]: (!! @ X1 @ (^[Y1 : X1]: ((fresh @ X2 @ product_prod @ X0 @ X1 @ X3 @ (product_Pair @ X0 @ X1 @ Y0 @ Y1)) => (fresh @ X2 @ X0 @ X3 @ Y0))))) @ X4)) = $true)) )),
% 2.51/0.70 inference(pi_proxy_clausification,[],[f2802])).
% 2.51/0.70 thf(f2804,plain,(
% 2.51/0.70 ( ! [X1 : $tType,X0 : $tType,X2 : $tType,X3 : X2,X4 : X0] : (($true = ((!! @ X1 @ (^[Y0 : X1]: ((fresh @ X2 @ product_prod @ X0 @ X1 @ X3 @ (product_Pair @ X0 @ X1 @ X4 @ Y0)) => (fresh @ X2 @ X0 @ X3 @ X4))))))) )),
% 2.51/0.70 inference(beta-eta_normalization,[],[f2803])).
% 2.51/0.70 thf(f2831,plain,(
% 2.51/0.70 ( ! [X1 : $tType,X0 : $tType,X2 : $tType,X3 : X2,X4 : X0,X5 : X1] : (($true = (((^[Y0 : X1]: ((fresh @ X2 @ product_prod @ X0 @ X1 @ X3 @ (product_Pair @ X0 @ X1 @ X4 @ Y0)) => (fresh @ X2 @ X0 @ X3 @ X4))) @ X5)))) )),
% 2.51/0.70 inference(pi_proxy_clausification,[],[f2804])).
% 2.51/0.70 thf(f2832,plain,(
% 2.51/0.70 ( ! [X1 : $tType,X0 : $tType,X2 : $tType,X3 : X2,X4 : X0,X5 : X1] : (((((fresh @ X2 @ product_prod @ X0 @ X1 @ X3 @ (product_Pair @ X0 @ X1 @ X4 @ X5)) => (fresh @ X2 @ X0 @ X3 @ X4))) = $true)) )),
% 2.51/0.70 inference(beta-eta_normalization,[],[f2831])).
% 2.51/0.70 thf(f2833,plain,(
% 2.51/0.70 ( ! [X1 : $tType,X0 : $tType,X2 : $tType,X3 : X2,X4 : X0,X5 : X1] : ((((fresh @ X2 @ product_prod @ X0 @ X1 @ X3 @ (product_Pair @ X0 @ X1 @ X4 @ X5))) = $false) | ($true = ((fresh @ X2 @ X0 @ X3 @ X4)))) )),
% 2.51/0.70 inference(imp_proxy_clausification,[],[f2832])).
% 2.51/0.70 thf(f2842,plain,(
% 2.51/0.70 (((fresh @ name @ name @ x @ x)) = $true) | ($true = $false)),
% 2.51/0.70 inference(superposition,[],[f2833,f1654])).
% 2.51/0.70 thf(f2847,plain,(
% 2.51/0.70 (((fresh @ name @ name @ x @ x)) = $true)),
% 2.51/0.70 inference(trivial_inequality_removal,[],[f2842])).
% 2.51/0.70 thf(f2853,plain,(
% 2.51/0.70 ($true = $false) | (x != x)),
% 2.51/0.70 inference(superposition,[],[f1358,f2847])).
% 2.51/0.70 thf(f2854,plain,(
% 2.51/0.70 $false),
% 2.51/0.70 inference(trivial_inequality_removal,[],[f2853])).
% 2.51/0.70 % SZS output end Proof for theBenchmark
% 2.51/0.70 % (3341292)------------------------------
% 2.51/0.70 % (3341292)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.51/0.71 % (3341292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.51/0.71 % (3341292)CaDiCaL version: 2.1.3
% 2.51/0.71 % (3341292)Termination reason: Refutation
% 2.51/0.71 % (3341292)Time elapsed: 0.228 s
% 2.51/0.71 % (3341292)Peak memory usage: 16 MB
% 2.51/0.71 % (3341292)Instructions burned: 454 (million)
% 2.51/0.71 % (3341228)Success in time 0.421 s
% 2.51/0.71 % Vampire exiting
%------------------------------------------------------------------------------