%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO209^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 08:47:12 AM UTC 2026
% Result : Theorem 0.73s 0.37s
% Output : Refutation 0.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO209^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n004.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 16:39:23 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.09/0.24 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
% 0.23/0.32 % (1529822)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.23/0.32 % (1529827)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3616778268:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.23/0.32 % (1529827)Refutation not found, incomplete strategy
% 0.23/0.32 % (1529827)------------------------------
% 0.23/0.32 % (1529827)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.32 % (1529827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.32 % (1529827)CaDiCaL version: 2.1.3
% 0.23/0.32 % (1529827)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.32 % (1529827)Time elapsed: 0.001 s
% 0.23/0.32 % (1529827)Peak memory usage: 12 MB
% 0.23/0.32 % (1529827)Instructions burned: 1 (million)
% 0.23/0.32 % (1529827)------------------------------
% 0.23/0.32 % (1529827)------------------------------
% 0.23/0.32 % (1529833)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.23/0.32 % (1529833)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
% 0.23/0.32 % (1529828)lrs+10_16_si=on:nwc=1.5:random_seed=3522204245:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.23/0.32 % (1529829)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2049975632:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.23/0.32 % (1529830)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=3061304095: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)
% 0.23/0.32 % (1529831)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3336680656:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.23/0.32 % (1529833)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=1874690248:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.23/0.32 % (1529832)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3874910212:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.23/0.32 % (1529829)Refutation not found, incomplete strategy
% 0.23/0.32 % (1529829)------------------------------
% 0.23/0.32 % (1529829)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.32 % (1529829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.32 % (1529829)CaDiCaL version: 2.1.3
% 0.23/0.32 % (1529829)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.32 % (1529829)Time elapsed: 0.001 s
% 0.23/0.32 % (1529829)Peak memory usage: 12 MB
% 0.23/0.32 % (1529829)Instructions burned: 1 (million)
% 0.23/0.32 % (1529830)Refutation not found, incomplete strategy
% 0.23/0.32 % (1529830)------------------------------
% 0.23/0.32 % (1529830)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.32 % (1529830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.32 % (1529830)CaDiCaL version: 2.1.3
% 0.23/0.32 % (1529830)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.32 % (1529830)Time elapsed: 0.002 s
% 0.23/0.32 % (1529830)Peak memory usage: 12 MB
% 0.23/0.32 % (1529830)Instructions burned: 1 (million)
% 0.23/0.32 % (1529831)Refutation not found, incomplete strategy
% 0.23/0.32 % (1529831)------------------------------
% 0.23/0.32 % (1529831)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.32 % (1529831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.32 % (1529831)CaDiCaL version: 2.1.3
% 0.23/0.32 % (1529831)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.32 % (1529831)Time elapsed: 0.002 s
% 0.23/0.32 % (1529831)Peak memory usage: 12 MB
% 0.23/0.32 % (1529831)Instructions burned: 2 (million)
% 0.23/0.32 % (1529829)------------------------------
% 0.23/0.32 % (1529829)------------------------------
% 0.23/0.32 % (1529832)Refutation not found, incomplete strategy
% 0.23/0.32 % (1529832)------------------------------
% 0.23/0.32 % (1529832)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.35 % (1529832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.35 % (1529832)CaDiCaL version: 2.1.3
% 0.23/0.35 % (1529832)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.35 % (1529832)Time elapsed: 0.002 s
% 0.23/0.35 % (1529832)Peak memory usage: 12 MB
% 0.23/0.35 % (1529832)Instructions burned: 2 (million)
% 0.23/0.35 % (1529830)------------------------------
% 0.23/0.35 % (1529830)------------------------------
% 0.23/0.35 % (1529833)Refutation not found, incomplete strategy
% 0.23/0.35 % (1529833)------------------------------
% 0.23/0.35 % (1529833)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.35 % (1529833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.35 % (1529833)CaDiCaL version: 2.1.3
% 0.23/0.35 % (1529833)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.35 % (1529833)Time elapsed: 0.002 s
% 0.23/0.35 % (1529833)Peak memory usage: 12 MB
% 0.23/0.35 % (1529833)Instructions burned: 3 (million)
% 0.23/0.35 % (1529831)------------------------------
% 0.23/0.35 % (1529831)------------------------------
% 0.23/0.35 % (1529835)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2748217127:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.23/0.35 % (1529832)------------------------------
% 0.23/0.35 % (1529832)------------------------------
% 0.23/0.35 % (1529833)------------------------------
% 0.23/0.35 % (1529833)------------------------------
% 0.23/0.35 % (1529835)Instruction limit reached!
% 0.23/0.35 % (1529835)------------------------------
% 0.23/0.35 % (1529835)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.35 % (1529835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.35 % (1529835)CaDiCaL version: 2.1.3
% 0.23/0.35 % (1529835)Termination reason: Instruction limit
% 0.23/0.35 % (1529835)Termination phase: Saturation
% 0.23/0.35 % (1529835)Time elapsed: 0.001 s
% 0.23/0.35 % (1529835)Peak memory usage: 12 MB
% 0.23/0.35 % (1529835)Instructions burned: 2 (million)
% 0.23/0.35 % (1529828)Instruction limit reached!
% 0.23/0.35 % (1529828)------------------------------
% 0.23/0.35 % (1529828)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.35 % (1529828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.35 % (1529828)CaDiCaL version: 2.1.3
% 0.23/0.35 % (1529828)Termination reason: Instruction limit
% 0.23/0.35 % (1529828)Termination phase: Saturation
% 0.23/0.35 % (1529828)Time elapsed: 0.011 s
% 0.23/0.35 % (1529828)Peak memory usage: 12 MB
% 0.23/0.35 % (1529828)Instructions burned: 18 (million)
% 0.23/0.35 % (1529848)lrs+10_1_si=on:cs=on:random_seed=804371853:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.23/0.35 % (1529844)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.23/0.35 % (1529848)Instruction limit reached!
% 0.23/0.35 % (1529848)------------------------------
% 0.23/0.35 % (1529848)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.35 % (1529848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.35 % (1529848)CaDiCaL version: 2.1.3
% 0.23/0.35 % (1529848)Termination reason: Instruction limit
% 0.23/0.35 % (1529848)Termination phase: Saturation
% 0.23/0.35 % (1529848)Time elapsed: 0.003 s
% 0.23/0.35 % (1529848)Peak memory usage: 12 MB
% 0.23/0.35 % (1529848)Instructions burned: 10 (million)
% 0.23/0.35 % (1529846)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
% 0.23/0.35 % (1529846)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.23/0.35 % (1529842)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1957082334:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.23/0.35 % (1529844)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3180541936:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.23/0.35 % (1529845)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2796282828:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.73/0.36 % (1529847)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=1443653806:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.73/0.36 % (1529846)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3479232373:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.73/0.36 % (1529845)Refutation not found, incomplete strategy
% 0.73/0.36 % (1529845)------------------------------
% 0.73/0.36 % (1529845)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.36 % (1529845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.36 % (1529845)CaDiCaL version: 2.1.3
% 0.73/0.36 % (1529845)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.36 % (1529845)Time elapsed: 0.002 s
% 0.73/0.36 % (1529845)Peak memory usage: 12 MB
% 0.73/0.36 % (1529845)Instructions burned: 2 (million)
% 0.73/0.36 % (1529849)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.73/0.36 % (1529845)------------------------------
% 0.73/0.36 % (1529845)------------------------------
% 0.73/0.36 % (1529842)Instruction limit reached!
% 0.73/0.36 % (1529842)------------------------------
% 0.73/0.36 % (1529842)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.36 % (1529842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.36 % (1529846)Refutation not found, incomplete strategy
% 0.73/0.36 % (1529846)------------------------------
% 0.73/0.36 % (1529846)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.36 % (1529842)CaDiCaL version: 2.1.3
% 0.73/0.36 % (1529842)Termination reason: Instruction limit
% 0.73/0.36 % (1529842)Termination phase: Saturation
% 0.73/0.36 % (1529846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.36 % (1529842)Time elapsed: 0.004 s
% 0.73/0.36 % (1529842)Peak memory usage: 12 MB
% 0.73/0.36 % (1529846)CaDiCaL version: 2.1.3
% 0.73/0.36 % (1529842)Instructions burned: 5 (million)
% 0.73/0.36 % (1529846)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.36 % (1529846)Time elapsed: 0.003 s
% 0.73/0.36 % (1529846)Peak memory usage: 12 MB
% 0.73/0.36 % (1529846)Instructions burned: 4 (million)
% 0.73/0.36 % (1529844)Instruction limit reached!
% 0.73/0.36 % (1529844)------------------------------
% 0.73/0.36 % (1529844)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.36 % (1529844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.36 % (1529844)CaDiCaL version: 2.1.3
% 0.73/0.36 % (1529844)Termination reason: Instruction limit
% 0.73/0.36 % (1529844)Termination phase: Saturation
% 0.73/0.36 % (1529844)Time elapsed: 0.004 s
% 0.73/0.36 % (1529844)Peak memory usage: 12 MB
% 0.73/0.36 % (1529844)Instructions burned: 7 (million)
% 0.73/0.36 % (1529846)------------------------------
% 0.73/0.36 % (1529846)------------------------------
% 0.73/0.36 % (1529851)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3024866224:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.73/0.36 % (1529849)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=3844023259:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.73/0.36 % (1529851)Refutation not found, incomplete strategy
% 0.73/0.36 % (1529851)------------------------------
% 0.73/0.36 % (1529851)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.36 % (1529851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.36 % (1529851)CaDiCaL version: 2.1.3
% 0.73/0.36 % (1529851)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.36 % (1529851)Time elapsed: 0.0000 s
% 0.73/0.36 % (1529851)Peak memory usage: 12 MB
% 0.73/0.36 % (1529851)Instructions burned: 1 (million)
% 0.73/0.36 % (1529851)------------------------------
% 0.73/0.36 % (1529851)------------------------------
% 0.73/0.36 % (1529849)Instruction limit reached!
% 0.73/0.36 % (1529849)------------------------------
% 0.73/0.36 % (1529849)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.36 % (1529849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.37 % (1529849)CaDiCaL version: 2.1.3
% 0.73/0.37 % (1529849)Termination reason: Instruction limit
% 0.73/0.37 % (1529849)Termination phase: Saturation
% 0.73/0.37 % (1529849)Time elapsed: 0.002 s
% 0.73/0.37 % (1529849)Peak memory usage: 12 MB
% 0.73/0.37 % (1529849)Instructions burned: 2 (million)
% 0.73/0.37 % (1529863)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=833739208:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/14Mi)
% 0.73/0.37 % (1529857)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1611237827:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.73/0.37 % (1529858)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1887626843:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.73/0.37 % (1529863)Instruction limit reached!
% 0.73/0.37 % (1529863)------------------------------
% 0.73/0.37 % (1529863)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.37 % (1529863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.37 % (1529863)CaDiCaL version: 2.1.3
% 0.73/0.37 % (1529863)Termination reason: Instruction limit
% 0.73/0.37 % (1529863)Termination phase: Saturation
% 0.73/0.37 % (1529863)Time elapsed: 0.004 s
% 0.73/0.37 % (1529863)Peak memory usage: 12 MB
% 0.73/0.37 % (1529863)Instructions burned: 14 (million)
% 0.73/0.37 % (1529859)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=509806785:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.73/0.37 % (1529860)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3510485044:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/327Mi)
% 0.73/0.37 % (1529858)Refutation not found, incomplete strategy
% 0.73/0.37 % (1529858)------------------------------
% 0.73/0.37 % (1529858)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.37 % (1529858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.37 % (1529858)CaDiCaL version: 2.1.3
% 0.73/0.37 % (1529858)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.37 % (1529858)Time elapsed: 0.001 s
% 0.73/0.37 % (1529858)Peak memory usage: 12 MB
% 0.73/0.37 % (1529857)Refutation not found, incomplete strategy
% 0.73/0.37 % (1529857)------------------------------
% 0.73/0.37 % (1529857)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.37 % (1529857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.37 % (1529857)CaDiCaL version: 2.1.3
% 0.73/0.37 % (1529857)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.37 % (1529857)Time elapsed: 0.002 s
% 0.73/0.37 % (1529857)Peak memory usage: 12 MB
% 0.73/0.37 % (1529857)Instructions burned: 1 (million)
% 0.73/0.37 % (1529858)------------------------------
% 0.73/0.37 % (1529858)------------------------------
% 0.73/0.37 % (1529859)Refutation not found, incomplete strategy
% 0.73/0.37 % (1529859)------------------------------
% 0.73/0.37 % (1529859)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.37 % (1529859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.37 % (1529859)CaDiCaL version: 2.1.3
% 0.73/0.37 % (1529859)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.37 % (1529859)Time elapsed: 0.001 s
% 0.73/0.37 % (1529859)Peak memory usage: 12 MB
% 0.73/0.37 % (1529857)------------------------------
% 0.73/0.37 % (1529857)------------------------------
% 0.73/0.37 % (1529859)Instructions burned: 1 (million)
% 0.73/0.37 % (1529859)------------------------------
% 0.73/0.37 % (1529859)------------------------------
% 0.73/0.37 % (1529860)Refutation not found, incomplete strategy
% 0.73/0.37 % (1529860)------------------------------
% 0.73/0.37 % (1529860)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.37 % (1529860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.37 % (1529860)CaDiCaL version: 2.1.3
% 0.73/0.37 % (1529860)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.37 % (1529860)Time elapsed: 0.002 s
% 0.73/0.37 % (1529860)Peak memory usage: 12 MB
% 0.73/0.37 % (1529860)Instructions burned: 3 (million)
% 0.73/0.37 % (1529860)------------------------------
% 0.73/0.37 % (1529860)------------------------------
% 0.73/0.37 % (1529864)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2813964708:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.73/0.37 % (1529864)Refutation not found, incomplete strategy
% 0.73/0.37 % (1529864)------------------------------
% 0.73/0.37 % (1529864)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.37 % (1529864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.37 % (1529864)CaDiCaL version: 2.1.3
% 0.73/0.37 % (1529864)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.37 % (1529864)Time elapsed: 0.002 s
% 0.73/0.37 % (1529864)Peak memory usage: 12 MB
% 0.73/0.37 % (1529864)Instructions burned: 1 (million)
% 0.73/0.37 % (1529864)------------------------------
% 0.73/0.37 % (1529864)------------------------------
% 0.73/0.37 % (1529869)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1559950684:i=26:ep=R:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/26Mi)
% 0.73/0.37 % (1529869)Refutation not found, incomplete strategy
% 0.73/0.37 % (1529869)------------------------------
% 0.73/0.37 % (1529869)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.37 % (1529869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.37 % (1529869)CaDiCaL version: 2.1.3
% 0.73/0.37 % (1529869)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.37 % (1529869)Time elapsed: 0.001 s
% 0.73/0.37 % (1529869)Peak memory usage: 12 MB
% 0.73/0.37 % (1529869)Instructions burned: 1 (million)
% 0.73/0.37 % (1529869)------------------------------
% 0.73/0.37 % (1529869)------------------------------
% 0.73/0.37 % (1529873)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
% 0.73/0.37 % (1529873)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.73/0.37 % (1529871)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3298417323:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/23Mi)
% 0.73/0.37 % (1529874)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 0.73/0.37 % (1529847)Instruction limit reached!
% 0.73/0.37 % (1529847)------------------------------
% 0.73/0.37 % (1529847)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.37 % (1529847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.37 % (1529847)CaDiCaL version: 2.1.3
% 0.73/0.37 % (1529847)Termination reason: Instruction limit
% 0.73/0.37 % (1529847)Termination phase: Saturation
% 0.73/0.37 % (1529847)Time elapsed: 0.044 s
% 0.73/0.37 % (1529847)Peak memory usage: 12 MB
% 0.73/0.37 % (1529847)Instructions burned: 86 (million)
% 0.73/0.37 % (1529878)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=1584744078:i=7:hud=5:bd=preordered:rtra=on:bet=on_2999 on theBenchmark for (2999ds/7Mi)
% 0.73/0.37 % (1529872)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3551911124:cond=on:i=60:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/60Mi)
% 0.73/0.37 % (1529873)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=469730361:i=14:add=off:nm=40:rtra=on:rawr=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.73/0.37 % (1529872)Refutation not found, incomplete strategy
% 0.73/0.37 % (1529872)------------------------------
% 0.73/0.37 % (1529872)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.37 % (1529872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.37 % (1529872)CaDiCaL version: 2.1.3
% 0.73/0.37 % (1529872)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.37 % (1529872)Time elapsed: 0.001 s
% 0.73/0.37 % (1529872)Peak memory usage: 12 MB
% 0.73/0.37 % (1529872)Instructions burned: 1 (million)
% 0.73/0.37 % (1529878) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1529822-1529878"...
% 0.73/0.37 % (1529872)------------------------------
% 0.73/0.37 % (1529872)------------------------------
% 0.73/0.37 % (1529874)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=3704003732:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.73/0.37 % (1529878)...printing done.
% 0.73/0.37 % (1529878)Refutation found. Thanks to Tanya!
% 0.73/0.37 % SZS status Theorem for theBenchmark
% 0.73/0.37 % SZS output start Proof for theBenchmark
% 0.73/0.37 thf(type_def_5, type, a: $tType).
% 0.73/0.37 thf(type_def_6, type, sTfun: ($tType * $tType) > $tType).
% 0.73/0.37 thf(func_def_3, type, sK0: (a > a > $o)).
% 0.73/0.37 thf(func_def_4, type, sK1: ((a > $o) > a)).
% 0.73/0.37 thf(func_def_5, type, vNOT: ($o > $o)).
% 0.73/0.37 thf(func_def_6, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.73/0.37 thf(func_def_7, type, db0: !>[X0: $tType]:(X0)).
% 0.73/0.37 thf(func_def_8, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.73/0.37 thf(func_def_9, type, db1: !>[X0: $tType]:(X0)).
% 0.73/0.37 thf(func_def_10, type, db2: !>[X0: $tType]:(X0)).
% 0.73/0.37 thf(func_def_11, type, sK2: ((a > $o) > a)).
% 0.73/0.37 thf(f1,conjecture,(
% 0.73/0.37 ~ ? [X0 : (a > a > $o)] : ! [X1 : (a > $o)] : ? [X2 : a] : ! [X3 : ((a > $o) > $o)] : ((X3 @ (X0 @ X2)) => (X3 @ X1))),
% 0.73/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cCT29)).
% 0.73/0.37 thf(f2,negated_conjecture,(
% 0.73/0.37 ~ ~ ? [X0 : (a > a > $o)] : ! [X1 : (a > $o)] : ? [X2 : a] : ! [X3 : ((a > $o) > $o)] : ((X3 @ (X0 @ X2)) => (X3 @ X1))),
% 0.73/0.37 inference(negated_conjecture,[status(cth)],[f1])).
% 0.73/0.37 thf(f3,plain,(
% 0.73/0.37 ~ ~ ? [X0 : (a > a > $o)] : ! [X1 : (a > $o)] : ? [X2 : a] : ! [X3 : ((a > $o) > $o)] : ((X3 @ (X0 @ X2)) => (X3 @ X1))),
% 0.73/0.37 inference(rectify,[],[f2])).
% 0.73/0.37 thf(f4,plain,(
% 0.73/0.37 ~ ~ ? [X0 : (a > a > $o)] : ! [X1 : (a > $o)] : ? [X2 : a] : ! [X3 : ((a > $o) > $o)] : ((((X3 @ (X0 @ X2))) = $true) => (((X3 @ X1)) = $true))),
% 0.73/0.37 inference(fool_elimination,[],[f3])).
% 0.73/0.37 thf(f5,plain,(
% 0.73/0.37 ? [X0 : (a > a > $o)] : ! [X1 : (a > $o)] : ? [X2 : a] : ! [X3 : ((a > $o) > $o)] : ((((X3 @ (X0 @ X2))) = $true) => (((X3 @ X1)) = $true))),
% 0.73/0.37 inference(flattening,[],[f4])).
% 0.73/0.37 thf(f6,plain,(
% 0.73/0.37 ? [X0 : (a > a > $o)] : ! [X1 : (a > $o)] : ? [X2 : a] : ! [X3 : ((a > $o) > $o)] : ((((X3 @ (X0 @ X2))) != $true) | (((X3 @ X1)) = $true))),
% 0.73/0.37 inference(ennf_transformation,[],[f5])).
% 0.73/0.37 thf(f7,plain,(
% 0.73/0.37 ! [X1 : (a > $o)] : ! [X3 : ((a > $o) > $o)] : (($true != ((X3 @ (sK0 @ (sK1 @ X1))))) | (((X3 @ X1)) = $true))),
% 0.73/0.37 inference(skolemize,[status(esa),new_symbols(skolem,[sK0,vAPP]),skolemize(X0,sK0),skolemize(X2,sK1 @ X1)],[f6])).
% 0.73/0.37 thf(f8,plain,(
% 0.73/0.37 ( ! [X3 : ((a > $o) > $o),X1 : (a > $o)] : (($true != ((X3 @ (sK0 @ (sK1 @ X1))))) | (((X3 @ X1)) = $true)) )),
% 0.73/0.37 inference(cnf_transformation,[],[f7])).
% 0.73/0.37 thf(f11,plain,(
% 0.73/0.37 ( ! [X0 : (a > $o)] : ((((sK0 @ (sK1 @ X0))) = X0)) )),
% 0.73/0.37 inference(leibniz_equality_elimination,[],[f8])).
% 0.73/0.37 thf(f22,plain,(
% 0.73/0.37 ( ! [X0 : (a > $o),X1 : a] : ((((X0 @ X1)) = ((sK0 @ (sK1 @ X0) @ X1)))) )),
% 0.73/0.37 inference(argument_congruence,[],[f11])).
% 0.73/0.37 thf(f26,plain,(
% 0.73/0.37 ( ! [X0 : (a > $o),X1 : a] : ((((X0 @ X1)) != ((~ (sK0 @ (sK1 @ X0) @ X1))))) )),
% 0.73/0.37 inference(bool_equality_to_disequality,[],[f22])).
% 0.73/0.37 thf(f44,plain,(
% 0.73/0.37 ( ! [X0 : (a > $o)] : (((^[Y0 : a]: (~ (sK0 @ ((^[Y1 : a]: (Y1)) @ Y0) @ ((^[Y1 : a]: (Y1)) @ Y0)))) != X0)) )),
% 0.73/0.37 inference(equality_resolution,[],[f26])).
% 0.73/0.37 thf(f51,plain,(
% 0.73/0.37 ( ! [X0 : (a > $o)] : (((^[Y0 : a]: (~ (sK0 @ Y0 @ Y0))) != X0)) )),
% 0.73/0.37 inference(beta-eta_normalization,[],[f44])).
% 0.73/0.37 thf(f78,plain,(
% 0.73/0.37 $false),
% 0.73/0.37 inference(equality_resolution,[],[f51])).
% 0.73/0.37 % SZS output end Proof for theBenchmark
% 0.73/0.37 % (1529878)------------------------------
% 0.73/0.37 % (1529878)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.73/0.37 % (1529878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.73/0.37 % (1529878)CaDiCaL version: 2.1.3
% 0.73/0.37 % (1529878)Termination reason: Refutation
% 0.73/0.37 % (1529878)Time elapsed: 0.002 s
% 0.73/0.37 % (1529878)Peak memory usage: 12 MB
% 0.73/0.37 % (1529878)Instructions burned: 6 (million)
% 0.73/0.37 % (1529822)Success in time 0.114 s
% 0.73/0.37 % Vampire exiting
%------------------------------------------------------------------------------