%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET557^1 : TPTP v9.3.1. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 08:23:16 AM UTC 2026
% Result : Theorem 0.45s 0.38s
% Output : Refutation 0.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET557^1 : TPTP v9.3.1. Released v3.6.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.18 % Computer : n005.cluster.edu
% 0.13/0.18 % Model : x86_64 x86_64
% 0.13/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.18 % Memory : 8046.5625MB
% 0.13/0.18 % OS : Linux 6.8.0-71-generic
% 0.13/0.18 % CPULimit : 300
% 0.13/0.18 % WCLimit : 300
% 0.13/0.18 % DateTime : Tue Sep 29 13:37:31 UTC 2026
% 0.13/0.18 % CPUTime :
% 0.13/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.22 Running higher-order theorem proving
% 0.13/0.23 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
% 0.45/0.32 % (1670701)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.45/0.32 % (1670715)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1149396584:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.45/0.32 % (1670710)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2554073292:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.45/0.32 % (1670713)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=31281288: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)
% 0.45/0.32 % (1670714)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=500865944:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.45/0.32 % (1670715)Refutation not found, incomplete strategy
% 0.45/0.32 % (1670715)------------------------------
% 0.45/0.32 % (1670715)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.45/0.32 % (1670715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.45/0.32 % (1670715)CaDiCaL version: 2.1.3
% 0.45/0.32 % (1670715)Termination reason: Refutation not found, incomplete strategy
% 0.45/0.32 % (1670715)Time elapsed: 0.002 s
% 0.45/0.32 % (1670715)Peak memory usage: 12 MB
% 0.45/0.32 % (1670715)Instructions burned: 1 (million)
% 0.45/0.32 % (1670710)Refutation not found, incomplete strategy
% 0.45/0.32 % (1670710)------------------------------
% 0.45/0.32 % (1670710)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.45/0.32 % (1670715)------------------------------
% 0.45/0.32 % (1670715)------------------------------
% 0.45/0.32 % (1670710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.45/0.32 % (1670710)CaDiCaL version: 2.1.3
% 0.45/0.32 % (1670710)Termination reason: Refutation not found, incomplete strategy
% 0.45/0.32 % (1670710)Time elapsed: 0.001 s
% 0.45/0.32 % (1670710)Peak memory usage: 12 MB
% 0.45/0.32 % (1670713)Refutation not found, incomplete strategy
% 0.45/0.32 % (1670713)------------------------------
% 0.45/0.32 % (1670713)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.45/0.32 % (1670713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.45/0.32 % (1670713)CaDiCaL version: 2.1.3
% 0.45/0.32 % (1670713)Termination reason: Refutation not found, incomplete strategy
% 0.45/0.32 % (1670713)Time elapsed: 0.001 s
% 0.45/0.32 % (1670713)Peak memory usage: 12 MB
% 0.45/0.32 % (1670713)Instructions burned: 1 (million)
% 0.45/0.32 % (1670714)Refutation not found, incomplete strategy
% 0.45/0.32 % (1670714)------------------------------
% 0.45/0.32 % (1670714)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.45/0.32 % (1670714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.45/0.32 % (1670714)CaDiCaL version: 2.1.3
% 0.45/0.32 % (1670714)Termination reason: Refutation not found, incomplete strategy
% 0.45/0.32 % (1670714)Time elapsed: 0.001 s
% 0.45/0.32 % (1670714)Peak memory usage: 12 MB
% 0.45/0.32 % (1670714)Instructions burned: 1 (million)
% 0.45/0.32 % (1670710)------------------------------
% 0.45/0.32 % (1670710)------------------------------
% 0.45/0.32 % (1670713)------------------------------
% 0.45/0.32 % (1670713)------------------------------
% 0.45/0.32 % (1670714)------------------------------
% 0.45/0.32 % (1670714)------------------------------
% 0.45/0.32 % (1670712)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=4094323841:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.45/0.32 % (1670712)Refutation not found, incomplete strategy
% 0.45/0.32 % (1670712)------------------------------
% 0.45/0.32 % (1670712)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.45/0.32 % (1670712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.45/0.32 % (1670712)CaDiCaL version: 2.1.3
% 0.45/0.32 % (1670712)Termination reason: Refutation not found, incomplete strategy
% 0.45/0.32 % (1670712)Time elapsed: 0.002 s
% 0.45/0.32 % (1670712)Peak memory usage: 12 MB
% 0.45/0.32 % (1670712)------------------------------
% 0.45/0.32 % (1670712)------------------------------
% 0.45/0.32 % (1670711)lrs+10_16_si=on:nwc=1.5:random_seed=47959455:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.45/0.32 % (1670711)Refutation not found, incomplete strategy
% 0.45/0.34 % (1670711)------------------------------
% 0.45/0.34 % (1670711)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.45/0.34 % (1670711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.45/0.34 % (1670711)CaDiCaL version: 2.1.3
% 0.45/0.34 % (1670711)Termination reason: Refutation not found, incomplete strategy
% 0.45/0.34 % (1670711)Time elapsed: 0.001 s
% 0.45/0.34 % (1670711)Peak memory usage: 12 MB
% 0.45/0.34 % (1670711)Instructions burned: 1 (million)
% 0.45/0.34 % (1670711)------------------------------
% 0.45/0.34 % (1670711)------------------------------
% 0.45/0.34 % (1670717)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.45/0.34 % (1670717)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
% 0.45/0.34 % (1670717)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=1373633423:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.45/0.34 % (1670732)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.45/0.34 % (1670730)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2003142750:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.45/0.34 % (1670731)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3521516413:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.45/0.34 % (1670717)Refutation not found, incomplete strategy
% 0.45/0.34 % (1670717)------------------------------
% 0.45/0.34 % (1670717)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.45/0.34 % (1670717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.45/0.34 % (1670717)CaDiCaL version: 2.1.3
% 0.45/0.34 % (1670717)Termination reason: Refutation not found, incomplete strategy
% 0.45/0.34 % (1670717)Time elapsed: 0.003 s
% 0.45/0.34 % (1670717)Peak memory usage: 12 MB
% 0.45/0.34 % (1670717)Instructions burned: 1 (million)
% 0.45/0.34 % (1670730)Instruction limit reached!
% 0.45/0.34 % (1670730)------------------------------
% 0.45/0.34 % (1670730)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.45/0.34 % (1670730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.45/0.34 % (1670730)CaDiCaL version: 2.1.3
% 0.45/0.34 % (1670730)Termination reason: Instruction limit
% 0.45/0.34 % (1670730)Termination phase: Saturation
% 0.45/0.34 % (1670730)Time elapsed: 0.002 s
% 0.45/0.34 % (1670730)Peak memory usage: 12 MB
% 0.45/0.34 % (1670730)Instructions burned: 4 (million)
% 0.45/0.34 % (1670733)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=411415858:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.45/0.34 % (1670717)------------------------------
% 0.45/0.34 % (1670717)------------------------------
% 0.45/0.34 % (1670732)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2406307825:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.45/0.34 % (1670733)Refutation not found, incomplete strategy
% 0.45/0.34 % (1670733)------------------------------
% 0.45/0.34 % (1670733)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.45/0.34 % (1670733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.45/0.34 % (1670733)CaDiCaL version: 2.1.3
% 0.45/0.34 % (1670733)Termination reason: Refutation not found, incomplete strategy
% 0.45/0.34 % (1670733)Time elapsed: 0.002 s
% 0.45/0.34 % (1670733)Peak memory usage: 12 MB
% 0.45/0.34 % (1670733)Instructions burned: 1 (million)
% 0.45/0.34 % (1670733)------------------------------
% 0.45/0.34 % (1670733)------------------------------
% 0.45/0.34 % (1670731)Instruction limit reached!
% 0.45/0.34 % (1670731)------------------------------
% 0.45/0.34 % (1670731)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.45/0.34 % (1670731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.45/0.34 % (1670731)CaDiCaL version: 2.1.3
% 0.45/0.34 % (1670731)Termination reason: Instruction limit
% 0.45/0.34 % (1670731)Termination phase: Saturation
% 0.45/0.36 % (1670731)Time elapsed: 0.004 s
% 0.45/0.36 % (1670731)Peak memory usage: 12 MB
% 0.45/0.36 % (1670731)Instructions burned: 6 (million)
% 0.45/0.36 % (1670736)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
% 0.45/0.36 % (1670736)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.45/0.36 % (1670732)Instruction limit reached!
% 0.45/0.36 % (1670732)------------------------------
% 0.45/0.36 % (1670732)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.45/0.36 % (1670732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.45/0.36 % (1670732)CaDiCaL version: 2.1.3
% 0.45/0.36 % (1670732)Termination reason: Instruction limit
% 0.45/0.36 % (1670732)Termination phase: Saturation
% 0.45/0.36 % (1670732)Time elapsed: 0.006 s
% 0.45/0.36 % (1670732)Peak memory usage: 12 MB
% 0.45/0.36 % (1670732)Instructions burned: 8 (million)
% 0.45/0.36 % (1670736)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1165444182:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.45/0.36 % (1670737)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=2894570925:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.45/0.36 % (1670736)Refutation not found, incomplete strategy
% 0.45/0.36 % (1670736)------------------------------
% 0.45/0.36 % (1670736)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.45/0.36 % (1670736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.45/0.36 % (1670736)CaDiCaL version: 2.1.3
% 0.45/0.36 % (1670736)Termination reason: Refutation not found, incomplete strategy
% 0.45/0.36 % (1670736)Time elapsed: 0.003 s
% 0.45/0.36 % (1670736)Peak memory usage: 12 MB
% 0.45/0.36 % (1670736)Instructions burned: 3 (million)
% 0.45/0.36 % (1670737)Refutation not found, incomplete strategy
% 0.45/0.36 % (1670737)------------------------------
% 0.45/0.36 % (1670737)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.45/0.36 % (1670737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.45/0.36 % (1670737)CaDiCaL version: 2.1.3
% 0.45/0.36 % (1670737)Termination reason: Refutation not found, incomplete strategy
% 0.45/0.36 % (1670737)Time elapsed: 0.001 s
% 0.45/0.36 % (1670737)Peak memory usage: 12 MB
% 0.45/0.36 % (1670737)Instructions burned: 1 (million)
% 0.45/0.36 % (1670736)------------------------------
% 0.45/0.36 % (1670736)------------------------------
% 0.45/0.36 % (1670737)------------------------------
% 0.45/0.36 % (1670737)------------------------------
% 0.45/0.36 % (1670745)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.45/0.36 % (1670747)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3592513006:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.45/0.36 % (1670746)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3498263482:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.45/0.37 % (1670746)Refutation not found, incomplete strategy
% 0.45/0.37 % (1670746)------------------------------
% 0.45/0.37 % (1670746)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.45/0.37 % (1670746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.45/0.37 % (1670746)CaDiCaL version: 2.1.3
% 0.45/0.37 % (1670746)Termination reason: Refutation not found, incomplete strategy
% 0.45/0.37 % (1670746)Time elapsed: 0.001 s
% 0.45/0.37 % (1670746)Peak memory usage: 12 MB
% 0.45/0.37 % (1670747)Refutation not found, incomplete strategy
% 0.45/0.37 % (1670747)------------------------------
% 0.45/0.37 % (1670747)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.45/0.37 % (1670747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.45/0.37 % (1670747)CaDiCaL version: 2.1.3
% 0.45/0.37 % (1670747)Termination reason: Refutation not found, incomplete strategy
% 0.45/0.37 % (1670747)Time elapsed: 0.001 s
% 0.45/0.37 % (1670747)Peak memory usage: 12 MB
% 0.45/0.37 % (1670746)------------------------------
% 0.45/0.38 % (1670746)------------------------------
% 0.45/0.38 % (1670747)------------------------------
% 0.45/0.38 % (1670747)------------------------------
% 0.45/0.38 % (1670745)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=781204609:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.45/0.38 % (1670745)Refutation not found, incomplete strategy
% 0.45/0.38 % (1670745)------------------------------
% 0.45/0.38 % (1670745)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.45/0.38 % (1670745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.45/0.38 % (1670745)CaDiCaL version: 2.1.3
% 0.45/0.38 % (1670745)Termination reason: Refutation not found, incomplete strategy
% 0.45/0.38 % (1670745)Time elapsed: 0.001 s
% 0.45/0.38 % (1670745)Peak memory usage: 12 MB
% 0.45/0.38 % (1670745)Instructions burned: 1 (million)
% 0.45/0.38 % (1670745)------------------------------
% 0.45/0.38 % (1670745)------------------------------
% 0.45/0.38 % (1670744)lrs+10_1_si=on:cs=on:random_seed=1147242450:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.45/0.38 % (1670744)Refutation not found, incomplete strategy
% 0.45/0.38 % (1670744)------------------------------
% 0.45/0.38 % (1670744)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.45/0.38 % (1670744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.45/0.38 % (1670744)CaDiCaL version: 2.1.3
% 0.45/0.38 % (1670744)Termination reason: Refutation not found, incomplete strategy
% 0.45/0.38 % (1670744)Time elapsed: 0.001 s
% 0.45/0.38 % (1670744)Peak memory usage: 12 MB
% 0.45/0.38 % (1670744)Instructions burned: 1 (million)
% 0.45/0.38 % (1670744)------------------------------
% 0.45/0.38 % (1670744)------------------------------
% 0.45/0.38 % (1670748)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2320253535:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.45/0.38 % (1670752)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1127979186:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/327Mi)
% 0.45/0.38 % (1670748)Refutation not found, incomplete strategy
% 0.45/0.38 % (1670748)------------------------------
% 0.45/0.38 % (1670748)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.45/0.38 % (1670748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.45/0.38 % (1670748)CaDiCaL version: 2.1.3
% 0.45/0.38 % (1670748)Termination reason: Refutation not found, incomplete strategy
% 0.45/0.38 % (1670748)Time elapsed: 0.001 s
% 0.45/0.38 % (1670748)Peak memory usage: 12 MB
% 0.45/0.38 % (1670752)Refutation not found, incomplete strategy
% 0.45/0.38 % (1670752)------------------------------
% 0.45/0.38 % (1670752)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.45/0.38 % (1670752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.45/0.38 % (1670752)CaDiCaL version: 2.1.3
% 0.45/0.38 % (1670752)Termination reason: Refutation not found, incomplete strategy
% 0.45/0.38 % (1670752)Time elapsed: 0.002 s
% 0.45/0.38 % (1670752)Peak memory usage: 12 MB
% 0.45/0.38 % (1670752)Instructions burned: 1 (million)
% 0.45/0.38 % (1670748)------------------------------
% 0.45/0.38 % (1670748)------------------------------
% 0.45/0.38 % (1670752)------------------------------
% 0.45/0.38 % (1670752)------------------------------
% 0.45/0.38 % (1670751)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2507308227:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.45/0.38 % (1670757)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=575341790: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)
% 0.45/0.38 % (1670751)Refutation not found, incomplete strategy
% 0.45/0.38 % (1670751)------------------------------
% 0.45/0.38 % (1670751)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.45/0.38 % (1670751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.45/0.38 % (1670751)CaDiCaL version: 2.1.3
% 0.45/0.38 % (1670751)Termination reason: Refutation not found, incomplete strategy
% 0.45/0.38 % (1670751)Time elapsed: 0.002 s
% 0.45/0.38 % (1670751)Peak memory usage: 12 MB
% 0.45/0.38 % (1670757)Refutation not found, incomplete strategy
% 0.45/0.38 % (1670757)------------------------------
% 0.45/0.38 % (1670757)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.45/0.38 % (1670757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.45/0.38 % (1670757)CaDiCaL version: 2.1.3
% 0.45/0.38 % (1670757)Termination reason: Refutation not found, incomplete strategy
% 0.45/0.38 % (1670757)Time elapsed: 0.001 s
% 0.45/0.38 % (1670757)Peak memory usage: 12 MB
% 0.45/0.38 % (1670751)------------------------------
% 0.45/0.38 % (1670751)------------------------------
% 0.45/0.38 % (1670757)------------------------------
% 0.45/0.38 % (1670757)------------------------------
% 0.45/0.38 % (1670759)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3929392753:i=26:ep=R:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/26Mi)
% 0.45/0.38 % (1670759)Refutation not found, incomplete strategy
% 0.45/0.38 % (1670759)------------------------------
% 0.45/0.38 % (1670759)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.45/0.38 % (1670759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.45/0.38 % (1670759)CaDiCaL version: 2.1.3
% 0.45/0.38 % (1670759)Termination reason: Refutation not found, incomplete strategy
% 0.45/0.38 % (1670759)Time elapsed: 0.001 s
% 0.45/0.38 % (1670759)Peak memory usage: 12 MB
% 0.45/0.38 % (1670759)Instructions burned: 1 (million)
% 0.45/0.38 % (1670759)------------------------------
% 0.45/0.38 % (1670759)------------------------------
% 0.45/0.38 % (1670764)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
% 0.45/0.38 % (1670764)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.45/0.38 % (1670756)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2704177099:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/14Mi)
% 0.45/0.38 % (1670763)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=4263392000:cond=on:i=60:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/60Mi)
% 0.45/0.38 % (1670763)Refutation not found, incomplete strategy
% 0.45/0.38 % (1670763)------------------------------
% 0.45/0.38 % (1670763)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.45/0.38 % (1670763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.45/0.38 % (1670763)CaDiCaL version: 2.1.3
% 0.45/0.38 % (1670763)Termination reason: Refutation not found, incomplete strategy
% 0.45/0.38 % (1670763)Time elapsed: 0.001 s
% 0.45/0.38 % (1670763)Peak memory usage: 12 MB
% 0.45/0.38 % (1670763)------------------------------
% 0.45/0.38 % (1670763)------------------------------
% 0.45/0.38 % (1670756)Refutation not found, incomplete strategy
% 0.45/0.38 % (1670756)------------------------------
% 0.45/0.38 % (1670756)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.45/0.38 % (1670756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.45/0.38 % (1670756)CaDiCaL version: 2.1.3
% 0.45/0.38 % (1670756)Termination reason: Refutation not found, incomplete strategy
% 0.45/0.38 % (1670756)Time elapsed: 0.006 s
% 0.45/0.38 % (1670756)Peak memory usage: 12 MB
% 0.45/0.38 % (1670756)Instructions burned: 1 (million)
% 0.45/0.38 % (1670764)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=2734501534:i=14:add=off:nm=40:rtra=on:rawr=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.45/0.38 % (1670756)------------------------------
% 0.45/0.38 % (1670756)------------------------------
% 0.45/0.38 % (1670769)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=3545038444:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 0.45/0.38 % (1670760)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=2269285382:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/23Mi)
% 0.45/0.38 % (1670764)Refutation not found, incomplete strategy
% 0.45/0.38 % (1670764)------------------------------
% 0.45/0.38 % (1670764)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.45/0.38 % (1670764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.45/0.38 % (1670764)CaDiCaL version: 2.1.3
% 0.45/0.38 % (1670764)Termination reason: Refutation not found, incomplete strategy
% 0.45/0.38 % (1670764)Time elapsed: 0.004 s
% 0.45/0.38 % (1670764)Peak memory usage: 12 MB
% 0.45/0.38 % (1670764)Instructions burned: 3 (million)
% 0.45/0.38 % (1670767)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 0.45/0.38 % (1670764)------------------------------
% 0.45/0.38 % (1670764)------------------------------
% 0.45/0.38 % (1670760)Refutation not found, incomplete strategy
% 0.45/0.38 % (1670760)------------------------------
% 0.45/0.38 % (1670760)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.45/0.38 % (1670760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.45/0.38 % (1670760)CaDiCaL version: 2.1.3
% 0.45/0.38 % (1670760)Termination reason: Refutation not found, incomplete strategy
% 0.45/0.38 % (1670760)Time elapsed: 0.001 s
% 0.45/0.38 % (1670760)Peak memory usage: 12 MB
% 0.45/0.38 % (1670769)Refutation not found, incomplete strategy
% 0.45/0.38 % (1670769)------------------------------
% 0.45/0.38 % (1670769)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.45/0.38 % (1670769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.45/0.38 % (1670769)CaDiCaL version: 2.1.3
% 0.45/0.38 % (1670769)Termination reason: Refutation not found, incomplete strategy
% 0.45/0.38 % (1670769)Time elapsed: 0.001 s
% 0.45/0.38 % (1670769)Peak memory usage: 12 MB
% 0.45/0.38 % (1670769)Instructions burned: 1 (million)
% 0.45/0.38 % (1670770)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=3729677873:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 0.45/0.38 % (1670760)------------------------------
% 0.45/0.38 % (1670760)------------------------------
% 0.45/0.38 % (1670769)------------------------------
% 0.45/0.38 % (1670769)------------------------------
% 0.45/0.38 % (1670770) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1670701-1670770"...
% 0.45/0.38 % (1670770)...printing done.
% 0.45/0.38 % (1670767)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=1082175159:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 0.45/0.38 % (1670767)Refutation not found, incomplete strategy
% 0.45/0.38 % (1670767)------------------------------
% 0.45/0.38 % (1670767)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.45/0.38 % (1670767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.45/0.38 % (1670767)CaDiCaL version: 2.1.3
% 0.45/0.38 % (1670767)Termination reason: Refutation not found, incomplete strategy
% 0.45/0.38 % (1670767)Time elapsed: 0.002 s
% 0.45/0.38 % (1670767)Peak memory usage: 12 MB
% 0.45/0.38 % (1670767)Instructions burned: 1 (million)
% 0.45/0.38 % (1670770)Refutation found. Thanks to Tanya!
% 0.45/0.38 % SZS status Theorem for theBenchmark
% 0.45/0.38 % SZS output start Proof for theBenchmark
% 0.45/0.38 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.45/0.38 thf(func_def_1, type, sK0: ($i > $i > $o)).
% 0.45/0.38 thf(func_def_2, type, sK1: (($i > $o) > $i)).
% 0.45/0.38 thf(func_def_5, type, vNOT: ($o > $o)).
% 0.45/0.38 thf(func_def_6, type, db0: !>[X0: $tType]:(X0)).
% 0.45/0.38 thf(func_def_7, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.45/0.38 thf(func_def_8, type, db1: !>[X0: $tType]:(X0)).
% 0.45/0.38 thf(func_def_9, type, db2: !>[X0: $tType]:(X0)).
% 0.45/0.38 thf(func_def_10, type, sK2: (($i > $o) > $i)).
% 0.45/0.38 thf(f1,conjecture,(
% 0.45/0.38 ~ ? [X0 : ($i > $i > $o)] : ! [X1 : ($i > $o)] : ? [X2 : $i] : (((X0 @ X2)) = X1)),
% 0.45/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p',surjectiveCantorThm)).
% 0.45/0.38 thf(f2,negated_conjecture,(
% 0.45/0.38 ~ ~ ? [X0 : ($i > $i > $o)] : ! [X1 : ($i > $o)] : ? [X2 : $i] : (((X0 @ X2)) = X1)),
% 0.45/0.38 inference(negated_conjecture,[status(cth)],[f1])).
% 0.45/0.38 thf(f3,plain,(
% 0.45/0.38 ~ ~ ? [X0 : ($i > $i > $o)] : ! [X1 : ($i > $o)] : ? [X2 : $i] : (((X0 @ X2)) = X1)),
% 0.45/0.38 inference(fool_elimination,[],[f2])).
% 0.45/0.38 thf(f4,plain,(
% 0.45/0.38 ? [X0 : ($i > $i > $o)] : ! [X1 : ($i > $o)] : ? [X2 : $i] : (((X0 @ X2)) = X1)),
% 0.45/0.38 inference(flattening,[],[f3])).
% 0.45/0.38 thf(f5,plain,(
% 0.45/0.38 ! [X1 : ($i > $o)] : (((sK0 @ (sK1 @ X1))) = X1)),
% 0.45/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK0,vAPP]),skolemize(X0,sK0),skolemize(X2,sK1 @ X1)],[f4])).
% 0.45/0.38 thf(f6,plain,(
% 0.45/0.38 ( ! [X1 : ($i > $o)] : ((((sK0 @ (sK1 @ X1))) = X1)) )),
% 0.45/0.38 inference(cnf_transformation,[],[f5])).
% 0.45/0.38 thf(f9,plain,(
% 0.45/0.38 ( ! [X2 : $i,X1 : ($i > $o)] : ((((X1 @ X2)) = ((sK0 @ (sK1 @ X1) @ X2)))) )),
% 0.45/0.38 inference(argument_congruence,[],[f6])).
% 0.45/0.38 thf(f10,plain,(
% 0.45/0.38 ( ! [X2 : $i,X1 : ($i > $o)] : ((((X1 @ X2)) != ((~ (sK0 @ (sK1 @ X1) @ X2))))) )),
% 0.45/0.38 inference(bool_equality_to_disequality,[],[f9])).
% 0.45/0.38 thf(f12,plain,(
% 0.45/0.38 ( ! [X0 : ($i > $o)] : (((^[Y0 : $i]: (~ (sK0 @ ((^[Y1 : $i]: (Y1)) @ Y0) @ ((^[Y1 : $i]: (Y1)) @ Y0)))) != X0)) )),
% 0.45/0.38 inference(equality_resolution,[],[f10])).
% 0.45/0.38 thf(f16,plain,(
% 0.45/0.38 ( ! [X0 : ($i > $o)] : (((^[Y0 : $i]: (~ (sK0 @ Y0 @ Y0))) != X0)) )),
% 0.45/0.38 inference(beta-eta_normalization,[],[f12])).
% 0.45/0.38 thf(f22,plain,(
% 0.45/0.38 $false),
% 0.45/0.38 inference(equality_resolution,[],[f16])).
% 0.45/0.38 % SZS output end Proof for theBenchmark
% 0.45/0.38 % (1670770)------------------------------
% 0.45/0.38 % (1670770)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.45/0.38 % (1670770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.45/0.38 % (1670770)CaDiCaL version: 2.1.3
% 0.45/0.38 % (1670770)Termination reason: Refutation
% 0.45/0.38 % (1670770)Time elapsed: 0.003 s
% 0.45/0.38 % (1670770)Peak memory usage: 12 MB
% 0.45/0.38 % (1670770)Instructions burned: 3 (million)
% 0.45/0.38 % (1670701)Success in time 0.141 s
% 0.45/0.38 % Vampire exiting
%------------------------------------------------------------------------------