%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM925^3 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 08:19:02 AM UTC 2026
% Result : Theorem 1.47s 0.68s
% Output : Refutation 1.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM925^3 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 % Computer : n017.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Tue Sep 29 13:01:07 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.23 Running higher-order theorem proving
% 0.33/0.39 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
% 0.42/0.57 % (298715)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.42/0.57 % (298724)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=729106656:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.42/0.57 % (298726)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.42/0.57 % (298726)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
% 0.42/0.57 % (298724)Instruction limit reached!
% 0.42/0.57 % (298724)------------------------------
% 0.42/0.57 % (298724)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.42/0.57 % (298724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.42/0.57 % (298724)CaDiCaL version: 2.1.3
% 0.42/0.57 % (298724)Termination reason: Instruction limit
% 0.42/0.57 % (298724)Termination phase: shuffling
% 0.42/0.57 % (298724)Time elapsed: 0.006 s
% 0.42/0.57 % (298724)Peak memory usage: 11 MB
% 0.42/0.57 % (298724)Instructions burned: 27 (million)
% 0.42/0.57 % (298721)lrs+10_16_si=on:nwc=1.5:random_seed=403477245:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.42/0.57 % (298722)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1954242444:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.42/0.57 % (298720)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1405545475:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.42/0.57 % (298723)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=596672997: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)
% 0.42/0.57 % (298725)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3943008900:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.42/0.57 % (298726)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=144472367:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.42/0.57 % (298722)Instruction limit reached!
% 0.42/0.57 % (298722)------------------------------
% 0.42/0.57 % (298722)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.42/0.57 % (298722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.42/0.57 % (298722)CaDiCaL version: 2.1.3
% 0.42/0.57 % (298722)Termination reason: Instruction limit
% 0.42/0.57 % (298722)Termination phase: shuffling
% 0.42/0.57 % (298722)Time elapsed: 0.003 s
% 0.42/0.57 % (298722)Peak memory usage: 11 MB
% 0.42/0.57 % (298722)Instructions burned: 4 (million)
% 0.42/0.57 % (298721)Instruction limit reached!
% 0.42/0.57 % (298721)------------------------------
% 0.42/0.57 % (298721)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.42/0.57 % (298721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.42/0.57 % (298721)CaDiCaL version: 2.1.3
% 0.42/0.57 % (298721)Termination reason: Instruction limit
% 0.42/0.57 % (298721)Termination phase: shuffling
% 0.42/0.57 % (298721)Time elapsed: 0.009 s
% 0.42/0.57 % (298721)Peak memory usage: 11 MB
% 0.42/0.57 % (298721)Instructions burned: 20 (million)
% 0.42/0.57 % (298732)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=512273885:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.42/0.57 % (298732)Instruction limit reached!
% 0.42/0.57 % (298732)------------------------------
% 0.42/0.57 % (298732)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.42/0.57 % (298732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.42/0.57 % (298732)CaDiCaL version: 2.1.3
% 0.42/0.57 % (298732)Termination reason: Instruction limit
% 0.42/0.57 % (298732)Termination phase: shuffling
% 0.42/0.57 % (298732)Time elapsed: 0.001 s
% 0.42/0.57 % (298732)Peak memory usage: 11 MB
% 0.42/0.57 % (298732)Instructions burned: 2 (million)
% 0.42/0.57 % (298738)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2192418991:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.42/0.57 % (298735)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2134409842:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.99/0.60 % (298737)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.99/0.60 % (298735)Instruction limit reached!
% 0.99/0.60 % (298735)------------------------------
% 0.99/0.60 % (298735)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.99/0.60 % (298735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.99/0.60 % (298735)CaDiCaL version: 2.1.3
% 0.99/0.60 % (298735)Termination reason: Instruction limit
% 0.99/0.60 % (298735)Termination phase: shuffling
% 0.99/0.60 % (298735)Time elapsed: 0.003 s
% 0.99/0.60 % (298735)Peak memory usage: 11 MB
% 0.99/0.60 % (298735)Instructions burned: 6 (million)
% 0.99/0.60 % (298738)Instruction limit reached!
% 0.99/0.60 % (298738)------------------------------
% 0.99/0.60 % (298738)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.99/0.60 % (298738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.99/0.60 % (298738)CaDiCaL version: 2.1.3
% 0.99/0.60 % (298738)Termination reason: Instruction limit
% 0.99/0.60 % (298738)Termination phase: shuffling
% 0.99/0.60 % (298738)Time elapsed: 0.004 s
% 0.99/0.60 % (298738)Peak memory usage: 11 MB
% 0.99/0.60 % (298738)Instructions burned: 17 (million)
% 0.99/0.60 % (298737)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1456004273:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.99/0.60 % (298725)Instruction limit reached!
% 0.99/0.60 % (298725)------------------------------
% 0.99/0.60 % (298725)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.99/0.60 % (298725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.99/0.60 % (298737)Instruction limit reached!
% 0.99/0.60 % (298737)------------------------------
% 0.99/0.60 % (298737)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.99/0.60 % (298725)CaDiCaL version: 2.1.3
% 0.99/0.60 % (298725)Termination reason: Instruction limit
% 0.99/0.60 % (298725)Termination phase: Property scanning
% 0.99/0.61 % (298737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.99/0.61 % (298725)Time elapsed: 0.032 s
% 0.99/0.61 % (298737)CaDiCaL version: 2.1.3
% 0.99/0.61 % (298725)Peak memory usage: 12 MB
% 0.99/0.61 % (298737)Termination reason: Instruction limit
% 0.99/0.61 % (298737)Termination phase: shuffling
% 0.99/0.61 % (298737)Time elapsed: 0.004 s
% 0.99/0.61 % (298725)Instructions burned: 76 (million)
% 0.99/0.61 % (298737)Peak memory usage: 11 MB
% 0.99/0.61 % (298737)Instructions burned: 7 (million)
% 0.99/0.61 % (298741)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
% 0.99/0.61 % (298741)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.99/0.61 % (298720)Instruction limit reached!
% 0.99/0.61 % (298720)------------------------------
% 0.99/0.61 % (298720)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.99/0.61 % (298720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.99/0.61 % (298720)CaDiCaL version: 2.1.3
% 0.99/0.61 % (298720)Termination reason: Instruction limit
% 0.99/0.61 % (298720)Termination phase: Property scanning
% 0.99/0.61 % (298720)Time elapsed: 0.036 s
% 0.99/0.61 % (298720)Peak memory usage: 12 MB
% 0.99/0.61 % (298720)Instructions burned: 87 (million)
% 0.99/0.61 % (298741)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=4152725742:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2998 on theBenchmark for (2998ds/28Mi)
% 0.99/0.61 % (298741)Instruction limit reached!
% 0.99/0.61 % (298741)------------------------------
% 0.99/0.61 % (298741)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.99/0.61 % (298741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.99/0.61 % (298741)CaDiCaL version: 2.1.3
% 0.99/0.61 % (298741)Termination reason: Instruction limit
% 0.99/0.61 % (298741)Termination phase: shuffling
% 0.99/0.61 % (298741)Time elapsed: 0.007 s
% 0.99/0.61 % (298741)Peak memory usage: 11 MB
% 0.99/0.61 % (298741)Instructions burned: 32 (million)
% 0.99/0.64 % (298742)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=1081830608:i=86:piset=equals:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/86Mi)
% 0.99/0.64 % (298744)lrs+10_1_si=on:cs=on:random_seed=40459182:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 0.99/0.64 % (298745)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.99/0.64 % (298747)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=372674042:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 0.99/0.64 % (298744)Instruction limit reached!
% 0.99/0.64 % (298744)------------------------------
% 0.99/0.64 % (298744)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.99/0.64 % (298744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.99/0.64 % (298744)CaDiCaL version: 2.1.3
% 0.99/0.64 % (298744)Termination reason: Instruction limit
% 0.99/0.64 % (298744)Termination phase: shuffling
% 0.99/0.64 % (298744)Time elapsed: 0.005 s
% 0.99/0.64 % (298744)Peak memory usage: 11 MB
% 0.99/0.64 % (298744)Instructions burned: 10 (million)
% 0.99/0.64 % (298745)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=213063678:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.99/0.64 % (298745)Instruction limit reached!
% 0.99/0.64 % (298745)------------------------------
% 0.99/0.64 % (298745)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.99/0.64 % (298745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.99/0.64 % (298745)CaDiCaL version: 2.1.3
% 0.99/0.64 % (298745)Termination reason: Instruction limit
% 0.99/0.64 % (298745)Termination phase: shuffling
% 0.99/0.64 % (298745)Time elapsed: 0.002 s
% 0.99/0.64 % (298745)Peak memory usage: 11 MB
% 0.99/0.64 % (298745)Instructions burned: 2 (million)
% 0.99/0.64 % (298726)Instruction limit reached!
% 0.99/0.64 % (298726)------------------------------
% 0.99/0.64 % (298726)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.99/0.64 % (298726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.99/0.64 % (298726)CaDiCaL version: 2.1.3
% 0.99/0.64 % (298726)Termination reason: Instruction limit
% 0.99/0.64 % (298726)Termination phase: Property scanning
% 0.99/0.64 % (298726)Time elapsed: 0.069 s
% 0.99/0.64 % (298726)Peak memory usage: 14 MB
% 0.99/0.64 % (298726)Instructions burned: 157 (million)
% 0.99/0.64 % (298747)Instruction limit reached!
% 0.99/0.64 % (298747)------------------------------
% 0.99/0.64 % (298747)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.99/0.64 % (298747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.99/0.64 % (298747)CaDiCaL version: 2.1.3
% 0.99/0.64 % (298747)Termination reason: Instruction limit
% 0.99/0.64 % (298747)Termination phase: shuffling
% 0.99/0.64 % (298747)Time elapsed: 0.019 s
% 0.99/0.64 % (298747)Peak memory usage: 11 MB
% 0.99/0.64 % (298747)Instructions burned: 44 (million)
% 0.99/0.64 % (298752)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=621477324:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.99/0.64 % (298748)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3904427148:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.99/0.64 % (298754)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=485187107:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.99/0.64 % (298742)Instruction limit reached!
% 0.99/0.64 % (298742)------------------------------
% 0.99/0.64 % (298742)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.99/0.64 % (298742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.99/0.64 % (298742)CaDiCaL version: 2.1.3
% 0.99/0.64 % (298742)Termination reason: Instruction limit
% 0.99/0.64 % (298742)Termination phase: shuffling
% 0.99/0.64 % (298742)Time elapsed: 0.038 s
% 0.99/0.64 % (298742)Peak memory usage: 12 MB
% 0.99/0.64 % (298742)Instructions burned: 88 (million)
% 0.99/0.64 % (298754)Instruction limit reached!
% 0.99/0.64 % (298754)------------------------------
% 1.47/0.68 % (298754)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.47/0.68 % (298754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.47/0.68 % (298754)CaDiCaL version: 2.1.3
% 1.47/0.68 % (298754)Termination reason: Instruction limit
% 1.47/0.68 % (298754)Termination phase: shuffling
% 1.47/0.68 % (298754)Time elapsed: 0.004 s
% 1.47/0.68 % (298754)Peak memory usage: 11 MB
% 1.47/0.68 % (298754)Instructions burned: 15 (million)
% 1.47/0.68 % (298752)Instruction limit reached!
% 1.47/0.68 % (298752)------------------------------
% 1.47/0.68 % (298752)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.47/0.68 % (298752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.47/0.68 % (298752)CaDiCaL version: 2.1.3
% 1.47/0.68 % (298752)Termination reason: Instruction limit
% 1.47/0.68 % (298752)Termination phase: shuffling
% 1.47/0.68 % (298752)Time elapsed: 0.012 s
% 1.47/0.68 % (298752)Peak memory usage: 11 MB
% 1.47/0.68 % (298752)Instructions burned: 26 (million)
% 1.47/0.68 % (298755)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3853894019:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.47/0.68 % (298757)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=547688744:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.47/0.68 % (298761)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3101516514:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.47/0.68 % (298757)Instruction limit reached!
% 1.47/0.68 % (298757)------------------------------
% 1.47/0.68 % (298757)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.47/0.68 % (298760)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2557141457: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)
% 1.47/0.68 % (298757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.47/0.68 % (298757)CaDiCaL version: 2.1.3
% 1.47/0.68 % (298757)Termination reason: Instruction limit
% 1.47/0.68 % (298757)Termination phase: shuffling
% 1.47/0.68 % (298757)Time elapsed: 0.007 s
% 1.47/0.68 % (298757)Peak memory usage: 11 MB
% 1.47/0.68 % (298757)Instructions burned: 15 (million)
% 1.47/0.68 % (298761)Instruction limit reached!
% 1.47/0.68 % (298761)------------------------------
% 1.47/0.68 % (298761)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.47/0.68 % (298761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.47/0.68 % (298761)CaDiCaL version: 2.1.3
% 1.47/0.68 % (298761)Termination reason: Instruction limit
% 1.47/0.68 % (298761)Termination phase: shuffling
% 1.47/0.68 % (298761)Time elapsed: 0.007 s
% 1.47/0.68 % (298761)Peak memory usage: 11 MB
% 1.47/0.68 % (298761)Instructions burned: 30 (million)
% 1.47/0.68 % (298760)Instruction limit reached!
% 1.47/0.68 % (298760)------------------------------
% 1.47/0.68 % (298760)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.47/0.68 % (298760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.47/0.68 % (298760)CaDiCaL version: 2.1.3
% 1.47/0.68 % (298760)Termination reason: Instruction limit
% 1.47/0.68 % (298760)Termination phase: shuffling
% 1.47/0.68 % (298760)Time elapsed: 0.003 s
% 1.47/0.68 % (298760)Peak memory usage: 11 MB
% 1.47/0.68 % (298760)Instructions burned: 4 (million)
% 1.47/0.68 % (298762)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=2271644248:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.47/0.68 % (298768)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
% 1.47/0.68 % (298768)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.47/0.68 % (298768)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=3027686573:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.47/0.68 % (298762)Instruction limit reached!
% 1.47/0.68 % (298762)------------------------------
% 1.47/0.68 % (298762)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.47/0.68 % (298762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.47/0.68 % (298762)CaDiCaL version: 2.1.3
% 1.47/0.68 % (298762)Termination reason: Instruction limit
% 1.47/0.68 % (298762)Termination phase: shuffling
% 1.47/0.68 % (298762)Time elapsed: 0.011 s
% 1.47/0.68 % (298762)Peak memory usage: 11 MB
% 1.47/0.68 % (298762)Instructions burned: 25 (million)
% 1.47/0.68 % (298768)Instruction limit reached!
% 1.47/0.68 % (298768)------------------------------
% 1.47/0.68 % (298768)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.47/0.68 % (298768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.47/0.68 % (298768)CaDiCaL version: 2.1.3
% 1.47/0.68 % (298768)Termination reason: Instruction limit
% 1.47/0.68 % (298768)Termination phase: shuffling
% 1.47/0.68 % (298768)Time elapsed: 0.004 s
% 1.47/0.68 % (298768)Peak memory usage: 11 MB
% 1.47/0.68 % (298768)Instructions burned: 15 (million)
% 1.47/0.68 % (298769)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.47/0.68 % (298767)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=708323476:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.47/0.68 % (298769)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=1871892860:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.47/0.68 % (298772)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=4081200226:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2997 on theBenchmark for (2997ds/31Mi)
% 1.47/0.68 % (298769)Instruction limit reached!
% 1.47/0.68 % (298769)------------------------------
% 1.47/0.68 % (298769)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.47/0.68 % (298769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.47/0.68 % (298769)CaDiCaL version: 2.1.3
% 1.47/0.68 % (298769)Termination reason: Instruction limit
% 1.47/0.68 % (298769)Termination phase: shuffling
% 1.47/0.68 % (298769)Time elapsed: 0.005 s
% 1.47/0.68 % (298769)Peak memory usage: 11 MB
% 1.47/0.68 % (298769)Instructions burned: 10 (million)
% 1.47/0.68 % (298773)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=1322008203:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 1.47/0.68 % (298772)Instruction limit reached!
% 1.47/0.68 % (298772)------------------------------
% 1.47/0.68 % (298772)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.47/0.68 % (298772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.47/0.68 % (298772)CaDiCaL version: 2.1.3
% 1.47/0.68 % (298772)Termination reason: Instruction limit
% 1.47/0.68 % (298772)Termination phase: shuffling
% 1.47/0.68 % (298772)Time elapsed: 0.008 s
% 1.47/0.68 % (298772)Peak memory usage: 11 MB
% 1.47/0.68 % (298772)Instructions burned: 35 (million)
% 1.47/0.68 % (298773)Instruction limit reached!
% 1.47/0.68 % (298773)------------------------------
% 1.47/0.68 % (298773)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.47/0.68 % (298773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.47/0.68 % (298773)CaDiCaL version: 2.1.3
% 1.47/0.68 % (298773)Termination reason: Instruction limit
% 1.47/0.68 % (298773)Termination phase: shuffling
% 1.47/0.68 % (298773)Time elapsed: 0.005 s
% 1.47/0.68 % (298773)Peak memory usage: 11 MB
% 1.47/0.68 % (298773)Instructions burned: 9 (million)
% 1.47/0.68 % (298767)Instruction limit reached!
% 1.47/0.68 % (298767)------------------------------
% 1.47/0.68 % (298767)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.47/0.68 % (298767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.47/0.68 % (298767)CaDiCaL version: 2.1.3
% 1.47/0.68 % (298767)Termination reason: Instruction limit
% 1.47/0.68 % (298767)Termination phase: Property scanning
% 1.47/0.68 % (298767)Time elapsed: 0.025 s
% 1.47/0.68 % (298767)Peak memory usage: 12 MB
% 1.47/0.68 % (298767)Instructions burned: 60 (million)
% 1.47/0.68 % (298777)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=846021987:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 1.47/0.68 % (298779)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2510769514:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 1.47/0.68 % (298779)Instruction limit reached!
% 1.47/0.68 % (298779)------------------------------
% 1.47/0.68 % (298779)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.47/0.68 % (298779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.47/0.68 % (298779)CaDiCaL version: 2.1.3
% 1.47/0.68 % (298779)Termination reason: Instruction limit
% 1.47/0.68 % (298779)Termination phase: shuffling
% 1.47/0.68 % (298779)Time elapsed: 0.005 s
% 1.47/0.68 % (298779)Peak memory usage: 11 MB
% 1.47/0.68 % (298779)Instructions burned: 23 (million)
% 1.47/0.68 % (298777)Instruction limit reached!
% 1.47/0.68 % (298777)------------------------------
% 1.47/0.68 % (298777)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.47/0.68 % (298777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.47/0.68 % (298777)CaDiCaL version: 2.1.3
% 1.47/0.68 % (298777)Termination reason: Instruction limit
% 1.47/0.68 % (298777)Termination phase: shuffling
% 1.47/0.68 % (298777)Time elapsed: 0.012 s
% 1.47/0.68 % (298777)Peak memory usage: 11 MB
% 1.47/0.68 % (298777)Instructions burned: 25 (million)
% 1.47/0.68 % (298780)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2959637831:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 1.47/0.68 % (298784)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=2624544724:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 1.47/0.68 % (298781)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2876732780:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 1.47/0.68 % (298786)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2882048824:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 1.47/0.68 % (298723) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-298715-298723"...
% 1.47/0.68 % (298723)...printing done.
% 1.47/0.68 % (298723)Refutation found. Thanks to Tanya!
% 1.47/0.68 % SZS status Theorem for theBenchmark
% 1.47/0.68 % SZS output start Proof for theBenchmark
% 1.47/0.68 thf(type_def_5, type, int: $tType).
% 1.47/0.68 thf(type_def_6, type, nat: $tType).
% 1.47/0.68 thf(type_def_7, type, real: $tType).
% 1.47/0.68 thf(type_def_8, type, sTfun: ($tType * $tType) > $tType).
% 1.47/0.68 thf(func_def_0, type, all: ((nat > $o) > $o)).
% 1.47/0.68 thf(func_def_1, type, ex: ((nat > $o) > $o)).
% 1.47/0.68 thf(func_def_2, type, abs_abs_int: (int > int)).
% 1.47/0.68 thf(func_def_3, type, abs_abs_real: (real > real)).
% 1.47/0.68 thf(func_def_4, type, minus_minus_int: (int > int > int)).
% 1.47/0.68 thf(func_def_5, type, minus_minus_nat: (nat > nat > nat)).
% 1.47/0.68 thf(func_def_6, type, minus_minus_real: (real > real > real)).
% 1.47/0.68 thf(func_def_7, type, one_one_int: int).
% 1.47/0.68 thf(func_def_8, type, one_one_nat: nat).
% 1.47/0.68 thf(func_def_9, type, one_one_real: real).
% 1.47/0.68 thf(func_def_10, type, plus_plus_int: (int > int > int)).
% 1.47/0.68 thf(func_def_11, type, plus_plus_nat: (nat > nat > nat)).
% 1.47/0.68 thf(func_def_12, type, plus_plus_real: (real > real > real)).
% 1.47/0.68 thf(func_def_13, type, times_times_int: (int > int > int)).
% 1.47/0.68 thf(func_def_14, type, times_times_nat: (nat > nat > nat)).
% 1.47/0.68 thf(func_def_15, type, times_times_real: (real > real > real)).
% 1.47/0.68 thf(func_def_16, type, zero_zero_int: int).
% 1.47/0.68 thf(func_def_17, type, zero_zero_nat: nat).
% 1.47/0.68 thf(func_def_18, type, zero_zero_real: real).
% 1.47/0.68 thf(func_def_19, type, if_int: ($o > int > int > int)).
% 1.47/0.68 thf(func_def_20, type, if_nat: ($o > nat > nat > nat)).
% 1.47/0.68 thf(func_def_21, type, zcong: (int > int > int > $o)).
% 1.47/0.68 thf(func_def_22, type, zprime: (int > $o)).
% 1.47/0.68 thf(func_def_23, type, bit0: (int > int)).
% 1.47/0.68 thf(func_def_24, type, bit1: (int > int)).
% 1.47/0.68 thf(func_def_25, type, min: int).
% 1.47/0.68 thf(func_def_26, type, pls: int).
% 1.47/0.68 thf(func_def_27, type, nat_1: (int > nat)).
% 1.47/0.68 thf(func_def_28, type, number_number_of_int: (int > int)).
% 1.47/0.68 thf(func_def_29, type, number_number_of_nat: (int > nat)).
% 1.47/0.68 thf(func_def_30, type, number267125858f_real: (int > real)).
% 1.47/0.68 thf(func_def_31, type, succ: (int > int)).
% 1.47/0.68 thf(func_def_32, type, semiri1621563631at_int: (nat > int)).
% 1.47/0.68 thf(func_def_33, type, semiri984289939at_nat: (nat > nat)).
% 1.47/0.68 thf(func_def_34, type, semiri132038758t_real: (nat > real)).
% 1.47/0.68 thf(func_def_35, type, ord_less_int: (int > int > $o)).
% 1.47/0.68 thf(func_def_36, type, ord_less_nat: (nat > nat > $o)).
% 1.47/0.68 thf(func_def_37, type, ord_less_real: (real > real > $o)).
% 1.47/0.68 thf(func_def_38, type, ord_less_eq_int: (int > int > $o)).
% 1.47/0.68 thf(func_def_39, type, ord_less_eq_nat: (nat > nat > $o)).
% 1.47/0.68 thf(func_def_40, type, ord_less_eq_real: (real > real > $o)).
% 1.47/0.68 thf(func_def_41, type, power_power_int: (int > nat > int)).
% 1.47/0.68 thf(func_def_42, type, power_power_nat: (nat > nat > nat)).
% 1.47/0.68 thf(func_def_43, type, power_power_real: (real > nat > real)).
% 1.47/0.68 thf(func_def_44, type, legendre: (int > int > int)).
% 1.47/0.68 thf(func_def_45, type, quadRes: (int > int > $o)).
% 1.47/0.68 thf(func_def_46, type, dvd_dvd_int: (int > int > $o)).
% 1.47/0.68 thf(func_def_47, type, dvd_dvd_nat: (nat > nat > $o)).
% 1.47/0.68 thf(func_def_48, type, twoSqu919416604sum2sq: (int > $o)).
% 1.47/0.68 thf(func_def_49, type, m: int).
% 1.47/0.68 thf(func_def_50, type, m1: int).
% 1.47/0.68 thf(func_def_51, type, n: nat).
% 1.47/0.68 thf(func_def_52, type, s1: int).
% 1.47/0.68 thf(func_def_53, type, s: int).
% 1.47/0.68 thf(func_def_54, type, t: int).
% 1.47/0.68 thf(func_def_55, type, tn: nat).
% 1.47/0.68 thf(func_def_56, type, x: int).
% 1.47/0.68 thf(func_def_57, type, y: int).
% 1.47/0.68 thf(func_def_61, type, sK0: ((nat > $o) > int)).
% 1.47/0.68 thf(func_def_62, type, sK1: ((int > $o) > nat)).
% 1.47/0.68 thf(func_def_63, type, sK2: ((int > $o) > int)).
% 1.47/0.68 thf(func_def_64, type, sK3: int).
% 1.47/0.68 thf(func_def_65, type, sK4: int).
% 1.47/0.68 thf(func_def_66, type, sK5: int).
% 1.47/0.68 thf(func_def_67, type, sK6: int).
% 1.47/0.68 thf(func_def_68, type, sK7: ((int > $o) > int > int)).
% 1.47/0.68 thf(func_def_69, type, sK8: (int > int > int > int)).
% 1.47/0.68 thf(func_def_70, type, sK9: (nat > int > (nat > int) > nat)).
% 1.47/0.68 thf(func_def_71, type, sK10: (nat > (nat > int) > nat)).
% 1.47/0.68 thf(func_def_72, type, sK11: (int > int > nat)).
% 1.47/0.68 thf(func_def_73, type, sK12: (int > int > int)).
% 1.47/0.68 thf(func_def_74, type, sK13: ((int > $o) > nat)).
% 1.47/0.68 thf(func_def_75, type, sK14: ((int > $o) > int)).
% 1.47/0.68 thf(func_def_76, type, sK15: int).
% 1.47/0.68 thf(func_def_77, type, sK16: int).
% 1.47/0.68 thf(func_def_78, type, sK17: int).
% 1.47/0.68 thf(func_def_79, type, sK18: int).
% 1.47/0.68 thf(func_def_80, type, sK19: (int > (nat > $o) > nat)).
% 1.47/0.68 thf(func_def_81, type, sK20: (int > nat)).
% 1.47/0.68 thf(func_def_82, type, sK21: int).
% 1.47/0.68 thf(func_def_83, type, sK22: (int > int)).
% 1.47/0.68 thf(func_def_84, type, sK23: (nat > nat > nat)).
% 1.47/0.68 thf(func_def_85, type, sK24: (nat > nat > nat)).
% 1.47/0.68 thf(func_def_86, type, sK25: (nat > (nat > int) > int > nat)).
% 1.47/0.68 thf(func_def_87, type, sK26: (nat > (nat > int) > nat)).
% 1.47/0.68 thf(func_def_88, type, sK27: (nat > (nat > $o) > nat > nat)).
% 1.47/0.68 thf(func_def_89, type, sK28: (int > int > int)).
% 1.47/0.68 thf(func_def_90, type, sK29: (nat > real > real)).
% 1.47/0.68 thf(func_def_91, type, sK30: (nat > (nat > $o) > nat > nat)).
% 1.47/0.68 thf(func_def_92, type, sK31: ((nat > $o) > int)).
% 1.47/0.68 thf(func_def_93, type, sK32: int).
% 1.47/0.68 thf(func_def_94, type, sK33: (real > nat > real)).
% 1.47/0.68 thf(func_def_95, type, sK34: int).
% 1.47/0.68 thf(func_def_96, type, sK35: int).
% 1.47/0.68 thf(func_def_97, type, sK36: (int > (int > $o) > int)).
% 1.47/0.68 thf(func_def_98, type, sK37: ((int > $o) > int > int)).
% 1.47/0.68 thf(func_def_99, type, sK38: (nat > (nat > $o) > nat)).
% 1.47/0.68 thf(func_def_100, type, vNOT: ($o > $o)).
% 1.47/0.68 thf(func_def_102, type, inv_semiri1621563631at_int_40: (int > nat)).
% 1.47/0.68 thf(func_def_103, type, inv_bit1_41: (int > int)).
% 1.47/0.68 thf(func_def_104, type, inv_bit0_42: (int > int)).
% 1.47/0.68 thf(f1,axiom,(
% 1.47/0.68 (ord_less_int @ zero_zero_int @ (plus_plus_int @ one_one_int @ (semiri1621563631at_int @ n)))),
% 1.47/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_n1pos)).
% 1.47/0.68 thf(f3,axiom,(
% 1.47/0.68 ! [X1 : int,X0 : int] : (((X0 = zero_zero_int) & (X1 = zero_zero_int)) <=> (((plus_plus_int @ (power_power_int @ X0 @ (number_number_of_nat @ (bit0 @ (bit1 @ pls)))) @ (power_power_int @ X1 @ (number_number_of_nat @ (bit0 @ (bit1 @ pls)))))) = zero_zero_int))),
% 1.47/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_sum__power2__eq__zero__iff)).
% 1.47/0.68 thf(f138,axiom,(
% 1.47/0.68 ! [X1 : int,X0 : int] : ((ord_less_int @ zero_zero_int @ (plus_plus_int @ (power_power_int @ X0 @ (number_number_of_nat @ (bit0 @ (bit1 @ pls)))) @ (power_power_int @ X1 @ (number_number_of_nat @ (bit0 @ (bit1 @ pls)))))) <=> ((X0 != zero_zero_int) | (X1 != zero_zero_int)))),
% 1.47/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_137_sum__power2__gt__zero__iff)).
% 1.47/0.68 thf(f232,axiom,(
% 1.47/0.68 ! [X1 : int,X0 : nat] : ((X1 != zero_zero_int) => (((power_power_int @ X1 @ X0)) != zero_zero_int))),
% 1.47/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_231_field__power__not__zero)).
% 1.47/0.68 thf(f1205,conjecture,(
% 1.47/0.68 (((power_power_int @ (plus_plus_int @ one_one_int @ (semiri1621563631at_int @ n)) @ (number_number_of_nat @ (bit0 @ (bit1 @ pls))))) != zero_zero_int)),
% 1.47/0.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 1.47/0.68 thf(f1206,negated_conjecture,(
% 1.47/0.68 ~ (((power_power_int @ (plus_plus_int @ one_one_int @ (semiri1621563631at_int @ n)) @ (number_number_of_nat @ (bit0 @ (bit1 @ pls))))) != zero_zero_int)),
% 1.47/0.68 inference(negated_conjecture,[status(cth)],[f1205])).
% 1.47/0.68 thf(f1319,plain,(
% 1.47/0.68 (ord_less_int @ zero_zero_int @ (plus_plus_int @ one_one_int @ (semiri1621563631at_int @ n)))),
% 1.47/0.68 inference(rectify,[],[f1])).
% 1.47/0.68 thf(f1320,plain,(
% 1.47/0.68 (((ord_less_int @ zero_zero_int @ (plus_plus_int @ one_one_int @ (semiri1621563631at_int @ n)))) = $true)),
% 1.47/0.68 inference(fool_elimination,[],[f1319])).
% 1.47/0.68 thf(f2561,plain,(
% 1.47/0.68 ! [X0 : int,X1 : int] : ((ord_less_int @ zero_zero_int @ (plus_plus_int @ (power_power_int @ X1 @ (number_number_of_nat @ (bit0 @ (bit1 @ pls)))) @ (power_power_int @ X0 @ (number_number_of_nat @ (bit0 @ (bit1 @ pls)))))) <=> ((zero_zero_int != X1) | (zero_zero_int != X0)))),
% 1.47/0.68 inference(rectify,[],[f138])).
% 1.47/0.68 thf(f2562,plain,(
% 1.47/0.68 ! [X1 : int,X0 : int] : (((zero_zero_int != X0) | (zero_zero_int != X1)) <=> (((ord_less_int @ zero_zero_int @ (plus_plus_int @ (power_power_int @ X1 @ (number_number_of_nat @ (bit0 @ (bit1 @ pls)))) @ (power_power_int @ X0 @ (number_number_of_nat @ (bit0 @ (bit1 @ pls))))))) = $true))),
% 1.47/0.68 inference(fool_elimination,[],[f2561])).
% 1.47/0.68 thf(f2795,plain,(
% 1.47/0.68 ! [X0 : int,X1 : nat] : ((zero_zero_int != X0) => (zero_zero_int != ((power_power_int @ X0 @ X1))))),
% 1.47/0.68 inference(rectify,[],[f232])).
% 1.47/0.68 thf(f2871,plain,(
% 1.47/0.68 (zero_zero_int = ((power_power_int @ (plus_plus_int @ one_one_int @ (semiri1621563631at_int @ n)) @ (number_number_of_nat @ (bit0 @ (bit1 @ pls))))))),
% 1.47/0.68 inference(flattening,[],[f1206])).
% 1.47/0.68 thf(f2878,plain,(
% 1.47/0.68 ! [X1 : int,X0 : int] : (((zero_zero_int = X0) & (zero_zero_int = X1)) <=> (zero_zero_int = ((plus_plus_int @ (power_power_int @ X1 @ (number_number_of_nat @ (bit0 @ (bit1 @ pls)))) @ (power_power_int @ X0 @ (number_number_of_nat @ (bit0 @ (bit1 @ pls))))))))),
% 1.47/0.68 inference(rectify,[],[f3])).
% 1.47/0.68 thf(f3489,plain,(
% 1.47/0.68 ! [X0 : int,X1 : nat] : ((zero_zero_int = X0) | (zero_zero_int != ((power_power_int @ X0 @ X1))))),
% 1.47/0.68 inference(ennf_transformation,[],[f2795])).
% 1.47/0.68 thf(f4395,plain,(
% 1.47/0.68 ! [X1 : int,X0 : int] : ((((zero_zero_int = X0) & (zero_zero_int = X1)) | (zero_zero_int != ((plus_plus_int @ (power_power_int @ X1 @ (number_number_of_nat @ (bit0 @ (bit1 @ pls)))) @ (power_power_int @ X0 @ (number_number_of_nat @ (bit0 @ (bit1 @ pls)))))))) & ((zero_zero_int = ((plus_plus_int @ (power_power_int @ X1 @ (number_number_of_nat @ (bit0 @ (bit1 @ pls)))) @ (power_power_int @ X0 @ (number_number_of_nat @ (bit0 @ (bit1 @ pls))))))) | ((zero_zero_int != X0) | (zero_zero_int != X1))))),
% 1.47/0.68 inference(nnf_transformation,[],[f2878])).
% 1.47/0.68 thf(f4396,plain,(
% 1.47/0.68 ! [X1 : int,X0 : int] : ((((zero_zero_int = X0) & (zero_zero_int = X1)) | (zero_zero_int != ((plus_plus_int @ (power_power_int @ X1 @ (number_number_of_nat @ (bit0 @ (bit1 @ pls)))) @ (power_power_int @ X0 @ (number_number_of_nat @ (bit0 @ (bit1 @ pls)))))))) & ((zero_zero_int = ((plus_plus_int @ (power_power_int @ X1 @ (number_number_of_nat @ (bit0 @ (bit1 @ pls)))) @ (power_power_int @ X0 @ (number_number_of_nat @ (bit0 @ (bit1 @ pls))))))) | (zero_zero_int != X0) | (zero_zero_int != X1)))),
% 1.47/0.68 inference(flattening,[],[f4395])).
% 1.47/0.68 thf(f4397,plain,(
% 1.47/0.68 ! [X0 : int,X1 : int] : ((((zero_zero_int = X1) & (zero_zero_int = X0)) | (zero_zero_int != ((plus_plus_int @ (power_power_int @ X0 @ (number_number_of_nat @ (bit0 @ (bit1 @ pls)))) @ (power_power_int @ X1 @ (number_number_of_nat @ (bit0 @ (bit1 @ pls)))))))) & ((zero_zero_int = ((plus_plus_int @ (power_power_int @ X0 @ (number_number_of_nat @ (bit0 @ (bit1 @ pls)))) @ (power_power_int @ X1 @ (number_number_of_nat @ (bit0 @ (bit1 @ pls))))))) | (zero_zero_int != X1) | (zero_zero_int != X0)))),
% 1.47/0.68 inference(rectify,[],[f4396])).
% 1.47/0.69 thf(f4399,plain,(
% 1.47/0.69 ! [X1 : int,X0 : int] : ((((zero_zero_int != X0) | (zero_zero_int != X1)) | (((ord_less_int @ zero_zero_int @ (plus_plus_int @ (power_power_int @ X1 @ (number_number_of_nat @ (bit0 @ (bit1 @ pls)))) @ (power_power_int @ X0 @ (number_number_of_nat @ (bit0 @ (bit1 @ pls))))))) != $true)) & ((((ord_less_int @ zero_zero_int @ (plus_plus_int @ (power_power_int @ X1 @ (number_number_of_nat @ (bit0 @ (bit1 @ pls)))) @ (power_power_int @ X0 @ (number_number_of_nat @ (bit0 @ (bit1 @ pls))))))) = $true) | ((zero_zero_int = X0) & (zero_zero_int = X1))))),
% 1.47/0.69 inference(nnf_transformation,[],[f2562])).
% 1.47/0.69 thf(f4400,plain,(
% 1.47/0.69 ! [X1 : int,X0 : int] : (((zero_zero_int != X0) | (zero_zero_int != X1) | (((ord_less_int @ zero_zero_int @ (plus_plus_int @ (power_power_int @ X1 @ (number_number_of_nat @ (bit0 @ (bit1 @ pls)))) @ (power_power_int @ X0 @ (number_number_of_nat @ (bit0 @ (bit1 @ pls))))))) != $true)) & ((((ord_less_int @ zero_zero_int @ (plus_plus_int @ (power_power_int @ X1 @ (number_number_of_nat @ (bit0 @ (bit1 @ pls)))) @ (power_power_int @ X0 @ (number_number_of_nat @ (bit0 @ (bit1 @ pls))))))) = $true) | ((zero_zero_int = X0) & (zero_zero_int = X1))))),
% 1.47/0.69 inference(flattening,[],[f4399])).
% 1.47/0.69 thf(f4401,plain,(
% 1.47/0.69 ! [X0 : int,X1 : int] : (((zero_zero_int != X1) | (zero_zero_int != X0) | (((ord_less_int @ zero_zero_int @ (plus_plus_int @ (power_power_int @ X0 @ (number_number_of_nat @ (bit0 @ (bit1 @ pls)))) @ (power_power_int @ X1 @ (number_number_of_nat @ (bit0 @ (bit1 @ pls))))))) != $true)) & ((((ord_less_int @ zero_zero_int @ (plus_plus_int @ (power_power_int @ X0 @ (number_number_of_nat @ (bit0 @ (bit1 @ pls)))) @ (power_power_int @ X1 @ (number_number_of_nat @ (bit0 @ (bit1 @ pls))))))) = $true) | ((zero_zero_int = X1) & (zero_zero_int = X0))))),
% 1.47/0.69 inference(rectify,[],[f4400])).
% 1.47/0.69 thf(f4661,plain,(
% 1.47/0.69 (zero_zero_int = ((power_power_int @ (plus_plus_int @ one_one_int @ (semiri1621563631at_int @ n)) @ (number_number_of_nat @ (bit0 @ (bit1 @ pls))))))),
% 1.47/0.69 inference(cnf_transformation,[],[f2871])).
% 1.47/0.69 thf(f5193,plain,(
% 1.47/0.69 (((ord_less_int @ zero_zero_int @ (plus_plus_int @ one_one_int @ (semiri1621563631at_int @ n)))) = $true)),
% 1.47/0.69 inference(cnf_transformation,[],[f1320])).
% 1.47/0.69 thf(f5214,plain,(
% 1.47/0.69 ( ! [X0 : int,X1 : nat] : ((zero_zero_int != ((power_power_int @ X0 @ X1))) | (zero_zero_int = X0)) )),
% 1.47/0.69 inference(cnf_transformation,[],[f3489])).
% 1.47/0.69 thf(f5911,plain,(
% 1.47/0.69 ( ! [X0 : int,X1 : int] : ((zero_zero_int = ((plus_plus_int @ (power_power_int @ X0 @ (number_number_of_nat @ (bit0 @ (bit1 @ pls)))) @ (power_power_int @ X1 @ (number_number_of_nat @ (bit0 @ (bit1 @ pls))))))) | (zero_zero_int != X1) | (zero_zero_int != X0)) )),
% 1.47/0.69 inference(cnf_transformation,[],[f4397])).
% 1.47/0.69 thf(f5917,plain,(
% 1.47/0.69 ( ! [X0 : int,X1 : int] : ((zero_zero_int != X1) | (zero_zero_int != X0) | (((ord_less_int @ zero_zero_int @ (plus_plus_int @ (power_power_int @ X0 @ (number_number_of_nat @ (bit0 @ (bit1 @ pls)))) @ (power_power_int @ X1 @ (number_number_of_nat @ (bit0 @ (bit1 @ pls))))))) != $true)) )),
% 1.47/0.69 inference(cnf_transformation,[],[f4401])).
% 1.47/0.69 thf(f6303,plain,(
% 1.47/0.69 ( ! [X0 : int] : ((zero_zero_int = ((plus_plus_int @ (power_power_int @ X0 @ (number_number_of_nat @ (bit0 @ (bit1 @ pls)))) @ (power_power_int @ zero_zero_int @ (number_number_of_nat @ (bit0 @ (bit1 @ pls))))))) | (zero_zero_int != X0)) )),
% 1.47/0.69 inference(equality_resolution,[],[f5911])).
% 1.47/0.69 thf(f6304,plain,(
% 1.47/0.69 (zero_zero_int = ((plus_plus_int @ (power_power_int @ zero_zero_int @ (number_number_of_nat @ (bit0 @ (bit1 @ pls)))) @ (power_power_int @ zero_zero_int @ (number_number_of_nat @ (bit0 @ (bit1 @ pls)))))))),
% 1.47/0.69 inference(equality_resolution,[],[f6303])).
% 1.47/0.69 thf(f6305,plain,(
% 1.47/0.69 ( ! [X0 : int] : ((zero_zero_int != X0) | ($true != ((ord_less_int @ zero_zero_int @ (plus_plus_int @ (power_power_int @ X0 @ (number_number_of_nat @ (bit0 @ (bit1 @ pls)))) @ (power_power_int @ zero_zero_int @ (number_number_of_nat @ (bit0 @ (bit1 @ pls))))))))) )),
% 1.47/0.69 inference(equality_resolution,[],[f5917])).
% 1.47/0.69 thf(f6306,plain,(
% 1.47/0.69 (((ord_less_int @ zero_zero_int @ (plus_plus_int @ (power_power_int @ zero_zero_int @ (number_number_of_nat @ (bit0 @ (bit1 @ pls)))) @ (power_power_int @ zero_zero_int @ (number_number_of_nat @ (bit0 @ (bit1 @ pls))))))) != $true)),
% 1.47/0.69 inference(equality_resolution,[],[f6305])).
% 1.47/0.69 thf(f6805,definition,(
% 1.47/0.69 spl39_29 <=> (zero_zero_int = ((plus_plus_int @ (power_power_int @ zero_zero_int @ (number_number_of_nat @ (bit0 @ (bit1 @ pls)))) @ (power_power_int @ zero_zero_int @ (number_number_of_nat @ (bit0 @ (bit1 @ pls)))))))),
% 1.47/0.69 introduced(definition,[new_symbols(definition,[spl39_29])],[avatar_definition])).
% 1.47/0.69 thf(f6808,plain,(
% 1.47/0.69 spl39_29),
% 1.47/0.69 inference(avatar_split_clause,[],[f6304,f6805])).
% 1.47/0.69 thf(f6830,definition,(
% 1.47/0.69 spl39_34 <=> (((ord_less_int @ zero_zero_int @ (plus_plus_int @ one_one_int @ (semiri1621563631at_int @ n)))) = $true)),
% 1.47/0.69 introduced(definition,[new_symbols(definition,[spl39_34])],[avatar_definition])).
% 1.47/0.69 thf(f6833,plain,(
% 1.47/0.69 spl39_34),
% 1.47/0.69 inference(avatar_split_clause,[],[f5193,f6830])).
% 1.47/0.69 thf(f6935,definition,(
% 1.47/0.69 spl39_55 <=> (zero_zero_int = ((power_power_int @ (plus_plus_int @ one_one_int @ (semiri1621563631at_int @ n)) @ (number_number_of_nat @ (bit0 @ (bit1 @ pls))))))),
% 1.47/0.69 introduced(definition,[new_symbols(definition,[spl39_55])],[avatar_definition])).
% 1.47/0.69 thf(f6937,plain,(
% 1.47/0.69 (zero_zero_int = ((power_power_int @ (plus_plus_int @ one_one_int @ (semiri1621563631at_int @ n)) @ (number_number_of_nat @ (bit0 @ (bit1 @ pls)))))) | ~spl39_55),
% 1.47/0.69 inference(avatar_component_clause,[],[f6935])).
% 1.47/0.69 thf(f6938,plain,(
% 1.47/0.69 spl39_55),
% 1.47/0.69 inference(avatar_split_clause,[],[f4661,f6935])).
% 1.47/0.69 thf(f7317,definition,(
% 1.47/0.69 spl39_131 <=> (((ord_less_int @ zero_zero_int @ (plus_plus_int @ (power_power_int @ zero_zero_int @ (number_number_of_nat @ (bit0 @ (bit1 @ pls)))) @ (power_power_int @ zero_zero_int @ (number_number_of_nat @ (bit0 @ (bit1 @ pls))))))) = $true)),
% 1.47/0.69 introduced(definition,[new_symbols(definition,[spl39_131])],[avatar_definition])).
% 1.47/0.69 thf(f7320,plain,(
% 1.47/0.69 ~spl39_131),
% 1.47/0.69 inference(avatar_split_clause,[],[f6306,f7317])).
% 1.47/0.69 thf(f7395,plain,(
% 1.47/0.69 (zero_zero_int = ((plus_plus_int @ one_one_int @ (semiri1621563631at_int @ n)))) | (zero_zero_int != zero_zero_int) | ~spl39_55),
% 1.47/0.69 inference(superposition,[],[f5214,f6937])).
% 1.47/0.69 thf(f7399,plain,(
% 1.47/0.69 (zero_zero_int = ((plus_plus_int @ one_one_int @ (semiri1621563631at_int @ n)))) | ~spl39_55),
% 1.47/0.69 inference(trivial_inequality_removal,[],[f7395])).
% 1.47/0.69 thf(f7402,definition,(
% 1.47/0.69 spl39_141 <=> (zero_zero_int = ((plus_plus_int @ one_one_int @ (semiri1621563631at_int @ n))))),
% 1.47/0.69 introduced(definition,[new_symbols(definition,[spl39_141])],[avatar_definition])).
% 1.47/0.69 thf(f7405,plain,(
% 1.47/0.69 spl39_141 | ~spl39_55),
% 1.47/0.69 inference(avatar_split_clause,[],[f7399,f6935,f7402])).
% 1.47/0.69 thf(f7410,definition,(
% 1.47/0.69 (zero_zero_int != ((plus_plus_int @ one_one_int @ (semiri1621563631at_int @ n)))) | (zero_zero_int != ((plus_plus_int @ (power_power_int @ zero_zero_int @ (number_number_of_nat @ (bit0 @ (bit1 @ pls)))) @ (power_power_int @ zero_zero_int @ (number_number_of_nat @ (bit0 @ (bit1 @ pls))))))) | (((ord_less_int @ zero_zero_int @ (plus_plus_int @ one_one_int @ (semiri1621563631at_int @ n)))) != $true) | (((ord_less_int @ zero_zero_int @ (plus_plus_int @ (power_power_int @ zero_zero_int @ (number_number_of_nat @ (bit0 @ (bit1 @ pls)))) @ (power_power_int @ zero_zero_int @ (number_number_of_nat @ (bit0 @ (bit1 @ pls))))))) = $true)),
% 1.47/0.69 introduced(theory,[theory_tautology_sat_conflict])).
% 1.47/0.69 cnf(s28, plain, spl39_29, inference(sat_conversion,[],[f6808])).
% 1.47/0.69 cnf(s33, plain, spl39_34, inference(sat_conversion,[],[f6833])).
% 1.47/0.69 cnf(s58, plain, spl39_55, inference(sat_conversion,[],[f6938])).
% 1.47/0.69 cnf(s169, plain, ~spl39_131, inference(sat_conversion,[],[f7320])).
% 1.47/0.69 cnf(s187, plain, ~spl39_55 | spl39_141, inference(sat_conversion,[],[f7405])).
% 1.47/0.69 cnf(s192, plain, ~spl39_29 | ~spl39_34 | spl39_131 | ~spl39_141, inference(sat_conversion,[],[f7410])).
% 1.47/0.69 cnf(s197, plain, spl39_141, inference(rat,[],[s187,s58])).
% 1.47/0.69 cnf(s199, plain, ~spl39_29, inference(rat,[],[s192,s197,s169,s33])).
% 1.47/0.69 cnf(s200, plain, $false, inference(rat,[],[s28,s199])).
% 1.47/0.69 thf(f7411,plain,(
% 1.47/0.69 $false),
% 1.47/0.69 inference(avatar_sat_refutation,[],[s200])).
% 1.47/0.69 % SZS output end Proof for theBenchmark
% 1.47/0.69 % (298723)------------------------------
% 1.47/0.69 % (298723)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.47/0.69 % (298723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.47/0.69 % (298723)CaDiCaL version: 2.1.3
% 1.47/0.69 % (298723)Termination reason: Refutation
% 1.47/0.69 % (298723)Time elapsed: 0.191 s
% 1.47/0.69 % (298723)Peak memory usage: 17 MB
% 1.47/0.69 % (298723)Instructions burned: 421 (million)
% 1.47/0.69 % (298715)Success in time 0.282 s
% 1.47/0.69 % Vampire exiting
%------------------------------------------------------------------------------