%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MSC020^5 : TPTP v9.3.1. Released v4.0.0.
% 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 08:15:36 AM UTC 2026
% Result : Theorem 1.51s 0.55s
% Output : Refutation 1.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MSC020^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n005.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 11:21:02 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running higher-order theorem proving
% 0.08/0.23 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
% 0.20/0.34 % (1547264)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.20/0.34 % (1547274)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=544794287:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.20/0.34 % (1547275)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.20/0.34 % (1547275)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
% 0.20/0.34 % (1547269)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=4265320890:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.20/0.34 % (1547270)lrs+10_16_si=on:nwc=1.5:random_seed=1332586985:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.20/0.34 % (1547271)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=809011559:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.20/0.34 % (1547272)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=2517068177: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)
% 0.20/0.34 % (1547273)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3623026103:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.20/0.34 % (1547275)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=4099896338:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.20/0.34 % (1547271)Instruction limit reached!
% 0.20/0.34 % (1547271)------------------------------
% 0.20/0.34 % (1547271)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.34 % (1547271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.34 % (1547271)CaDiCaL version: 2.1.3
% 0.20/0.34 % (1547271)Termination reason: Instruction limit
% 0.20/0.34 % (1547271)Termination phase: Saturation
% 0.20/0.34 % (1547271)Time elapsed: 0.003 s
% 0.20/0.34 % (1547271)Peak memory usage: 12 MB
% 0.20/0.34 % (1547271)Instructions burned: 4 (million)
% 0.20/0.34 % (1547270)Instruction limit reached!
% 0.20/0.34 % (1547270)------------------------------
% 0.20/0.34 % (1547270)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.34 % (1547270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.34 % (1547270)CaDiCaL version: 2.1.3
% 0.20/0.34 % (1547270)Termination reason: Instruction limit
% 0.20/0.34 % (1547270)Termination phase: Saturation
% 0.20/0.34 % (1547270)Time elapsed: 0.009 s
% 0.20/0.34 % (1547270)Peak memory usage: 12 MB
% 0.20/0.34 % (1547270)Instructions burned: 19 (million)
% 0.20/0.34 % (1547272)Refutation not found, incomplete strategy
% 0.20/0.34 % (1547272)------------------------------
% 0.20/0.34 % (1547272)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.34 % (1547272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.34 % (1547272)CaDiCaL version: 2.1.3
% 0.20/0.35 % (1547272)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.35 % (1547272)Time elapsed: 0.009 s
% 0.20/0.35 % (1547272)Peak memory usage: 12 MB
% 0.20/0.35 % (1547272)Instructions burned: 15 (million)
% 0.20/0.35 % (1547272)------------------------------
% 0.20/0.35 % (1547272)------------------------------
% 0.20/0.35 % (1547274)Instruction limit reached!
% 0.20/0.35 % (1547274)------------------------------
% 0.20/0.35 % (1547274)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.35 % (1547274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.35 % (1547274)CaDiCaL version: 2.1.3
% 0.20/0.35 % (1547274)Termination reason: Instruction limit
% 0.20/0.35 % (1547274)Termination phase: Saturation
% 0.20/0.35 % (1547274)Time elapsed: 0.020 s
% 0.20/0.35 % (1547274)Peak memory usage: 12 MB
% 0.20/0.35 % (1547274)Instructions burned: 78 (million)
% 0.20/0.35 % (1547273)Instruction limit reached!
% 0.20/0.35 % (1547273)------------------------------
% 0.20/0.35 % (1547273)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.35 % (1547273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.37 % (1547273)CaDiCaL version: 2.1.3
% 0.83/0.37 % (1547273)Termination reason: Instruction limit
% 0.83/0.37 % (1547273)Termination phase: Saturation
% 0.83/0.37 % (1547273)Time elapsed: 0.014 s
% 0.83/0.37 % (1547273)Peak memory usage: 12 MB
% 0.83/0.37 % (1547273)Instructions burned: 26 (million)
% 0.83/0.37 % (1547283)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3100521106:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.83/0.37 % (1547286)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1288153112:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.83/0.37 % (1547283)Instruction limit reached!
% 0.83/0.37 % (1547283)------------------------------
% 0.83/0.37 % (1547283)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.37 % (1547283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.37 % (1547283)CaDiCaL version: 2.1.3
% 0.83/0.37 % (1547283)Termination reason: Instruction limit
% 0.83/0.37 % (1547283)Termination phase: Saturation
% 0.83/0.37 % (1547283)Time elapsed: 0.002 s
% 0.83/0.37 % (1547283)Peak memory usage: 12 MB
% 0.83/0.37 % (1547283)Instructions burned: 2 (million)
% 0.83/0.37 % (1547285)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.83/0.37 % (1547286)Instruction limit reached!
% 0.83/0.37 % (1547286)------------------------------
% 0.83/0.37 % (1547286)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.37 % (1547286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.37 % (1547286)CaDiCaL version: 2.1.3
% 0.83/0.37 % (1547286)Termination reason: Instruction limit
% 0.83/0.37 % (1547286)Termination phase: Saturation
% 0.83/0.37 % (1547286)Time elapsed: 0.004 s
% 0.83/0.37 % (1547286)Peak memory usage: 12 MB
% 0.83/0.37 % (1547286)Instructions burned: 14 (million)
% 0.83/0.37 % (1547284)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3171050927:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.83/0.37 % (1547287)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
% 0.83/0.37 % (1547287)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.83/0.37 % (1547285)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=222911549:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.83/0.37 % (1547284)Instruction limit reached!
% 0.83/0.37 % (1547284)------------------------------
% 0.83/0.37 % (1547284)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.37 % (1547284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.37 % (1547284)CaDiCaL version: 2.1.3
% 0.83/0.37 % (1547284)Termination reason: Instruction limit
% 0.83/0.37 % (1547284)Termination phase: Saturation
% 0.83/0.37 % (1547284)Time elapsed: 0.004 s
% 0.83/0.37 % (1547284)Peak memory usage: 12 MB
% 0.83/0.37 % (1547284)Instructions burned: 6 (million)
% 0.83/0.37 % (1547287)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2621928594:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.83/0.37 % (1547285)Instruction limit reached!
% 0.83/0.37 % (1547285)------------------------------
% 0.83/0.37 % (1547285)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.37 % (1547285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.37 % (1547285)CaDiCaL version: 2.1.3
% 0.83/0.37 % (1547285)Termination reason: Instruction limit
% 0.83/0.37 % (1547285)Termination phase: Saturation
% 0.83/0.37 % (1547285)Time elapsed: 0.004 s
% 0.83/0.37 % (1547285)Peak memory usage: 12 MB
% 0.83/0.37 % (1547285)Instructions burned: 7 (million)
% 0.83/0.37 % (1547291)lrs+10_1_si=on:cs=on:random_seed=1626750450:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.83/0.37 % (1547269)Instruction limit reached!
% 0.83/0.37 % (1547269)------------------------------
% 0.83/0.37 % (1547269)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.39 % (1547269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.39 % (1547269)CaDiCaL version: 2.1.3
% 0.83/0.39 % (1547269)Termination reason: Instruction limit
% 0.83/0.39 % (1547269)Termination phase: Saturation
% 0.83/0.39 % (1547269)Time elapsed: 0.040 s
% 0.83/0.39 % (1547269)Peak memory usage: 12 MB
% 0.83/0.39 % (1547269)Instructions burned: 89 (million)
% 0.83/0.39 % (1547291)Instruction limit reached!
% 0.83/0.39 % (1547291)------------------------------
% 0.83/0.39 % (1547291)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.39 % (1547291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.39 % (1547291)CaDiCaL version: 2.1.3
% 0.83/0.39 % (1547291)Termination reason: Instruction limit
% 0.83/0.39 % (1547291)Termination phase: Saturation
% 0.83/0.39 % (1547291)Time elapsed: 0.003 s
% 0.83/0.39 % (1547291)Peak memory usage: 12 MB
% 0.83/0.39 % (1547291)Instructions burned: 12 (million)
% 0.83/0.39 % (1547290)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=3768868112:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.83/0.39 % (1547295)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.83/0.39 % (1547287)Instruction limit reached!
% 0.83/0.39 % (1547287)------------------------------
% 0.83/0.39 % (1547287)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.39 % (1547287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.39 % (1547287)CaDiCaL version: 2.1.3
% 0.83/0.39 % (1547287)Termination reason: Instruction limit
% 0.83/0.39 % (1547287)Termination phase: Saturation
% 0.83/0.39 % (1547287)Time elapsed: 0.015 s
% 0.83/0.39 % (1547287)Peak memory usage: 12 MB
% 0.83/0.39 % (1547287)Instructions burned: 29 (million)
% 0.83/0.39 % (1547299)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=4138473531:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.83/0.39 % (1547295)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=4013143377:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.83/0.39 % (1547299)Refutation not found, incomplete strategy
% 0.83/0.39 % (1547299)------------------------------
% 0.83/0.39 % (1547299)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.39 % (1547299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.39 % (1547299)CaDiCaL version: 2.1.3
% 0.83/0.39 % (1547299)Termination reason: Refutation not found, incomplete strategy
% 0.83/0.39 % (1547299)Time elapsed: 0.001 s
% 0.83/0.39 % (1547299)Peak memory usage: 12 MB
% 0.83/0.39 % (1547299)Instructions burned: 3 (million)
% 0.83/0.39 % (1547299)------------------------------
% 0.83/0.39 % (1547299)------------------------------
% 0.83/0.39 % (1547296)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=4207558443:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.83/0.39 % (1547295)Instruction limit reached!
% 0.83/0.39 % (1547295)------------------------------
% 0.83/0.39 % (1547295)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.39 % (1547295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.39 % (1547295)CaDiCaL version: 2.1.3
% 0.83/0.39 % (1547295)Termination reason: Instruction limit
% 0.83/0.39 % (1547295)Termination phase: Saturation
% 0.83/0.39 % (1547295)Time elapsed: 0.002 s
% 0.83/0.39 % (1547295)Peak memory usage: 11 MB
% 0.83/0.39 % (1547295)Instructions burned: 3 (million)
% 0.83/0.39 % (1547298)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2773189579:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.83/0.39 % (1547304)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=250895825:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/327Mi)
% 0.83/0.39 % (1547301)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1953463728:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.83/0.39 % (1547298)Refutation not found, incomplete strategy
% 0.83/0.39 % (1547298)------------------------------
% 0.83/0.39 % (1547298)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.42 % (1547298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.42 % (1547298)CaDiCaL version: 2.1.3
% 0.83/0.42 % (1547298)Termination reason: Refutation not found, incomplete strategy
% 0.83/0.42 % (1547298)Time elapsed: 0.010 s
% 0.83/0.42 % (1547298)Peak memory usage: 12 MB
% 0.83/0.42 % (1547298)Instructions burned: 16 (million)
% 0.83/0.42 % (1547298)------------------------------
% 0.83/0.42 % (1547298)------------------------------
% 0.83/0.42 % (1547296)Instruction limit reached!
% 0.83/0.42 % (1547296)------------------------------
% 0.83/0.42 % (1547296)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.42 % (1547296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.42 % (1547296)CaDiCaL version: 2.1.3
% 0.83/0.42 % (1547296)Termination reason: Instruction limit
% 0.83/0.42 % (1547296)Termination phase: Saturation
% 0.83/0.42 % (1547296)Time elapsed: 0.019 s
% 0.83/0.42 % (1547296)Peak memory usage: 12 MB
% 0.83/0.42 % (1547296)Instructions burned: 38 (million)
% 0.83/0.42 % (1547306)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2807024851:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/14Mi)
% 0.83/0.42 % (1547301)Instruction limit reached!
% 0.83/0.42 % (1547301)------------------------------
% 0.83/0.42 % (1547301)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.42 % (1547301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.42 % (1547301)CaDiCaL version: 2.1.3
% 0.83/0.42 % (1547301)Termination reason: Instruction limit
% 0.83/0.42 % (1547301)Termination phase: Saturation
% 0.83/0.42 % (1547301)Time elapsed: 0.010 s
% 0.83/0.42 % (1547301)Peak memory usage: 12 MB
% 0.83/0.42 % (1547301)Instructions burned: 17 (million)
% 0.83/0.42 % (1547275)Instruction limit reached!
% 0.83/0.42 % (1547275)------------------------------
% 0.83/0.42 % (1547275)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.42 % (1547275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.42 % (1547275)CaDiCaL version: 2.1.3
% 0.83/0.42 % (1547275)Termination reason: Instruction limit
% 0.83/0.42 % (1547275)Termination phase: Saturation
% 0.83/0.42 % (1547275)Time elapsed: 0.080 s
% 0.83/0.42 % (1547275)Peak memory usage: 12 MB
% 0.83/0.42 % (1547275)Instructions burned: 158 (million)
% 0.83/0.42 % (1547306)Instruction limit reached!
% 0.83/0.42 % (1547306)------------------------------
% 0.83/0.42 % (1547306)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.42 % (1547306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.42 % (1547306)CaDiCaL version: 2.1.3
% 0.83/0.42 % (1547306)Termination reason: Instruction limit
% 0.83/0.42 % (1547306)Termination phase: Saturation
% 0.83/0.42 % (1547306)Time elapsed: 0.009 s
% 0.83/0.42 % (1547306)Peak memory usage: 12 MB
% 0.83/0.42 % (1547306)Instructions burned: 15 (million)
% 0.83/0.42 % (1547290)Instruction limit reached!
% 0.83/0.42 % (1547290)------------------------------
% 0.83/0.42 % (1547290)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.42 % (1547290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.42 % (1547290)CaDiCaL version: 2.1.3
% 0.83/0.42 % (1547290)Termination reason: Instruction limit
% 0.83/0.42 % (1547290)Termination phase: Saturation
% 0.83/0.42 % (1547290)Time elapsed: 0.042 s
% 0.83/0.42 % (1547290)Peak memory usage: 12 MB
% 0.83/0.42 % (1547290)Instructions burned: 91 (million)
% 0.83/0.42 % (1547310)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3465613604: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)
% 0.83/0.42 % (1547311)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1615888163:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.83/0.42 % (1547310)Instruction limit reached!
% 0.83/0.42 % (1547310)------------------------------
% 0.83/0.42 % (1547310)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.42 % (1547310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.42 % (1547310)CaDiCaL version: 2.1.3
% 0.83/0.42 % (1547310)Termination reason: Instruction limit
% 0.83/0.42 % (1547310)Termination phase: Saturation
% 0.83/0.42 % (1547310)Time elapsed: 0.002 s
% 0.83/0.45 % (1547310)Peak memory usage: 12 MB
% 0.83/0.45 % (1547310)Instructions burned: 2 (million)
% 0.83/0.45 % (1547313)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3958273539:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.83/0.45 % (1547311)Refutation not found, incomplete strategy
% 0.83/0.45 % (1547311)------------------------------
% 0.83/0.45 % (1547311)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.45 % (1547311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.45 % (1547311)CaDiCaL version: 2.1.3
% 0.83/0.45 % (1547311)Termination reason: Refutation not found, incomplete strategy
% 0.83/0.45 % (1547311)Time elapsed: 0.006 s
% 0.83/0.45 % (1547311)Peak memory usage: 12 MB
% 0.83/0.45 % (1547311)Instructions burned: 10 (million)
% 0.83/0.45 % (1547315)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
% 0.83/0.45 % (1547315)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.83/0.45 % (1547314)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=39281399:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 0.83/0.45 % (1547311)------------------------------
% 0.83/0.45 % (1547311)------------------------------
% 0.83/0.45 % (1547315)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=939951232:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.83/0.45 % (1547316)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 0.83/0.45 % (1547316)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=3365163515:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 0.83/0.45 % (1547313)Instruction limit reached!
% 0.83/0.45 % (1547313)------------------------------
% 0.83/0.45 % (1547313)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.45 % (1547313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.45 % (1547313)CaDiCaL version: 2.1.3
% 0.83/0.45 % (1547313)Termination reason: Instruction limit
% 0.83/0.45 % (1547313)Termination phase: Saturation
% 0.83/0.45 % (1547313)Time elapsed: 0.013 s
% 0.83/0.45 % (1547313)Peak memory usage: 12 MB
% 0.83/0.45 % (1547313)Instructions burned: 25 (million)
% 0.83/0.45 % (1547314)Refutation not found, incomplete strategy
% 0.83/0.45 % (1547314)------------------------------
% 0.83/0.45 % (1547314)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.45 % (1547314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.45 % (1547314)CaDiCaL version: 2.1.3
% 0.83/0.45 % (1547314)Termination reason: Refutation not found, incomplete strategy
% 0.83/0.45 % (1547314)Time elapsed: 0.011 s
% 0.83/0.45 % (1547314)Peak memory usage: 12 MB
% 0.83/0.45 % (1547314)Instructions burned: 19 (million)
% 0.83/0.45 % (1547319)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=605526652:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 0.83/0.45 % (1547315)Instruction limit reached!
% 0.83/0.45 % (1547315)------------------------------
% 0.83/0.45 % (1547315)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.45 % (1547315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.45 % (1547315)CaDiCaL version: 2.1.3
% 0.83/0.45 % (1547315)Termination reason: Instruction limit
% 0.83/0.45 % (1547315)Termination phase: Saturation
% 0.83/0.45 % (1547315)Time elapsed: 0.008 s
% 0.83/0.45 % (1547315)Peak memory usage: 12 MB
% 0.83/0.45 % (1547315)Instructions burned: 15 (million)
% 0.83/0.45 % (1547314)------------------------------
% 0.83/0.45 % (1547314)------------------------------
% 0.83/0.45 % (1547316)Instruction limit reached!
% 0.83/0.45 % (1547316)------------------------------
% 0.83/0.45 % (1547316)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.45 % (1547316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.51 % (1547316)CaDiCaL version: 2.1.3
% 1.51/0.51 % (1547316)Termination reason: Instruction limit
% 1.51/0.51 % (1547316)Termination phase: Saturation
% 1.51/0.51 % (1547316)Time elapsed: 0.005 s
% 1.51/0.51 % (1547316)Peak memory usage: 12 MB
% 1.51/0.51 % (1547316)Instructions burned: 8 (million)
% 1.51/0.51 % (1547322)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=2134019618:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.51/0.51 % (1547322)Instruction limit reached!
% 1.51/0.51 % (1547322)------------------------------
% 1.51/0.51 % (1547322)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.51 % (1547322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.51 % (1547322)CaDiCaL version: 2.1.3
% 1.51/0.51 % (1547322)Termination reason: Instruction limit
% 1.51/0.51 % (1547322)Termination phase: Saturation
% 1.51/0.51 % (1547322)Time elapsed: 0.005 s
% 1.51/0.51 % (1547322)Peak memory usage: 12 MB
% 1.51/0.51 % (1547322)Instructions burned: 9 (million)
% 1.51/0.51 % (1547325)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=659823284:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.51/0.51 % (1547319)Instruction limit reached!
% 1.51/0.51 % (1547319)------------------------------
% 1.51/0.51 % (1547319)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.51 % (1547319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.51 % (1547319)CaDiCaL version: 2.1.3
% 1.51/0.51 % (1547319)Termination reason: Instruction limit
% 1.51/0.51 % (1547319)Termination phase: Saturation
% 1.51/0.51 % (1547319)Time elapsed: 0.017 s
% 1.51/0.51 % (1547319)Peak memory usage: 12 MB
% 1.51/0.51 % (1547319)Instructions burned: 33 (million)
% 1.51/0.51 % (1547327)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=4054334787:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.51/0.51 % (1547329)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1943111908:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.51/0.51 % (1547328)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1296572041:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.51/0.51 % (1547325)Instruction limit reached!
% 1.51/0.51 % (1547325)------------------------------
% 1.51/0.51 % (1547325)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.51 % (1547325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.51 % (1547325)CaDiCaL version: 2.1.3
% 1.51/0.51 % (1547325)Termination reason: Instruction limit
% 1.51/0.51 % (1547325)Termination phase: Saturation
% 1.51/0.51 % (1547325)Time elapsed: 0.010 s
% 1.51/0.51 % (1547325)Peak memory usage: 11 MB
% 1.51/0.51 % (1547325)Instructions burned: 23 (million)
% 1.51/0.51 % (1547327)Instruction limit reached!
% 1.51/0.51 % (1547327)------------------------------
% 1.51/0.51 % (1547327)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.51 % (1547327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.51 % (1547327)CaDiCaL version: 2.1.3
% 1.51/0.51 % (1547327)Termination reason: Instruction limit
% 1.51/0.51 % (1547327)Termination phase: Saturation
% 1.51/0.51 % (1547327)Time elapsed: 0.011 s
% 1.51/0.51 % (1547327)Peak memory usage: 12 MB
% 1.51/0.51 % (1547327)Instructions burned: 21 (million)
% 1.51/0.51 % (1547331)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=1300732695:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.51/0.51 % (1547328)Refutation not found, incomplete strategy
% 1.51/0.51 % (1547328)------------------------------
% 1.51/0.51 % (1547328)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.51 % (1547328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.51 % (1547328)CaDiCaL version: 2.1.3
% 1.51/0.51 % (1547328)Termination reason: Refutation not found, incomplete strategy
% 1.51/0.51 % (1547328)Time elapsed: 0.013 s
% 1.51/0.51 % (1547328)Peak memory usage: 12 MB
% 1.51/0.51 % (1547328)Instructions burned: 22 (million)
% 1.51/0.51 % (1547328)------------------------------
% 1.51/0.51 % (1547328)------------------------------
% 1.51/0.51 % (1547333)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1595406209:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 1.51/0.55 % (1547304)Instruction limit reached!
% 1.51/0.55 % (1547304)------------------------------
% 1.51/0.55 % (1547304)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.55 % (1547304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.55 % (1547304)CaDiCaL version: 2.1.3
% 1.51/0.55 % (1547304)Termination reason: Instruction limit
% 1.51/0.55 % (1547304)Termination phase: Saturation
% 1.51/0.55 % (1547304)Time elapsed: 0.089 s
% 1.51/0.55 % (1547304)Peak memory usage: 12 MB
% 1.51/0.55 % (1547304)Instructions burned: 329 (million)
% 1.51/0.55 % (1547337)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.51/0.55 % (1547331)Refutation not found, incomplete strategy
% 1.51/0.55 % (1547331)------------------------------
% 1.51/0.55 % (1547331)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.55 % (1547331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.55 % (1547331)CaDiCaL version: 2.1.3
% 1.51/0.55 % (1547331)Termination reason: Refutation not found, incomplete strategy
% 1.51/0.55 % (1547331)Time elapsed: 0.011 s
% 1.51/0.55 % (1547331)Peak memory usage: 12 MB
% 1.51/0.55 % (1547331)Instructions burned: 19 (million)
% 1.51/0.55 % (1547331)------------------------------
% 1.51/0.55 % (1547331)------------------------------
% 1.51/0.55 % (1547337)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3190273643:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 1.51/0.55 % (1547342)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 1.51/0.55 % (1547338)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2910291869:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/181Mi)
% 1.51/0.55 % (1547342)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=533600635:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2998 on theBenchmark for (2998ds/6Mi)
% 1.51/0.55 % (1547337)Instruction limit reached!
% 1.51/0.55 % (1547337)------------------------------
% 1.51/0.55 % (1547337)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.55 % (1547337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.55 % (1547337)CaDiCaL version: 2.1.3
% 1.51/0.55 % (1547337)Termination reason: Instruction limit
% 1.51/0.55 % (1547337)Termination phase: Saturation
% 1.51/0.55 % (1547337)Time elapsed: 0.005 s
% 1.51/0.55 % (1547337)Peak memory usage: 12 MB
% 1.51/0.55 % (1547337)Instructions burned: 11 (million)
% 1.51/0.55 % (1547342)Instruction limit reached!
% 1.51/0.55 % (1547342)------------------------------
% 1.51/0.55 % (1547342)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.55 % (1547342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.55 % (1547342)CaDiCaL version: 2.1.3
% 1.51/0.55 % (1547342)Termination reason: Instruction limit
% 1.51/0.55 % (1547342)Termination phase: Saturation
% 1.51/0.55 % (1547342)Time elapsed: 0.002 s
% 1.51/0.55 % (1547342)Peak memory usage: 12 MB
% 1.51/0.55 % (1547342)Instructions burned: 9 (million)
% 1.51/0.55 % (1547340)dis+10_8_sil=128000:plsq=on:plsqc=1:si=on:sp=unary_first:sos=on:lma=off:plsqr=64,1:uwa=interpreted_only:foolp=on:random_seed=1006368971:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/169Mi)
% 1.51/0.55 % (1547333)Instruction limit reached!
% 1.51/0.55 % (1547333)------------------------------
% 1.51/0.55 % (1547333)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.55 % (1547333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.55 % (1547333)CaDiCaL version: 2.1.3
% 1.51/0.55 % (1547333)Termination reason: Instruction limit
% 1.51/0.55 % (1547333)Termination phase: Saturation
% 1.51/0.55 % (1547333)Time elapsed: 0.022 s
% 1.51/0.55 % (1547333)Peak memory usage: 12 MB
% 1.51/0.55 % (1547333)Instructions burned: 44 (million)
% 1.51/0.55 % (1547348)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=1953829538:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 1.51/0.55 % (1547344)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2045837861:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2998 on theBenchmark for (2998ds/22Mi)
% 1.51/0.55 % (1547347)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1259389149:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 1.51/0.55 % (1547350)dis+1004_4:1_slsqr=1,2:to=lpo:plsq=on:fde=unused:e2e=on:si=on:spb=goal_then_units:acc=on:urr=on:uwa=off:fd=preordered:s2agt=16:slsqc=1:slsq=on:random_seed=2843578387:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2997 on theBenchmark for (2997ds/853Mi)
% 1.51/0.55 % (1547344)Instruction limit reached!
% 1.51/0.55 % (1547344)------------------------------
% 1.51/0.55 % (1547344)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.55 % (1547344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.55 % (1547344)CaDiCaL version: 2.1.3
% 1.51/0.55 % (1547344)Termination reason: Instruction limit
% 1.51/0.55 % (1547344)Termination phase: Saturation
% 1.51/0.55 % (1547344)Time elapsed: 0.012 s
% 1.51/0.55 % (1547344)Peak memory usage: 12 MB
% 1.51/0.55 % (1547344)Instructions burned: 24 (million)
% 1.51/0.55 % (1547347)Instruction limit reached!
% 1.51/0.55 % (1547347)------------------------------
% 1.51/0.55 % (1547347)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.55 % (1547347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.55 % (1547347)CaDiCaL version: 2.1.3
% 1.51/0.55 % (1547347)Termination reason: Instruction limit
% 1.51/0.55 % (1547347)Termination phase: Saturation
% 1.51/0.55 % (1547347)Time elapsed: 0.011 s
% 1.51/0.55 % (1547347)Peak memory usage: 12 MB
% 1.51/0.55 % (1547347)Instructions burned: 19 (million)
% 1.51/0.55 % (1547329)Instruction limit reached!
% 1.51/0.55 % (1547329)------------------------------
% 1.51/0.55 % (1547329)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.55 % (1547329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.55 % (1547329)CaDiCaL version: 2.1.3
% 1.51/0.55 % (1547329)Termination reason: Instruction limit
% 1.51/0.55 % (1547329)Termination phase: Saturation
% 1.51/0.55 % (1547329)Time elapsed: 0.071 s
% 1.51/0.55 % (1547329)Peak memory usage: 13 MB
% 1.51/0.55 % (1547329)Instructions burned: 143 (million)
% 1.51/0.55 % (1547355)dis+1003_3:4_to=kbo:plsq=on:prc=on:sims=off:e2e=on:si=on:spb=intro:acc=on:urr=on:uwa=off:foolp=on:s2agt=32:slsqc=3:slsq=on:random_seed=3238950705:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2997 on theBenchmark for (2997ds/45Mi)
% 1.51/0.55 % (1547356)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=2863405183:i=480:rtra=on_2997 on theBenchmark for (2997ds/480Mi)
% 1.51/0.55 % (1547356)Refutation not found, incomplete strategy
% 1.51/0.55 % (1547356)------------------------------
% 1.51/0.55 % (1547356)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.55 % (1547356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.55 % (1547356)CaDiCaL version: 2.1.3
% 1.51/0.55 % (1547356)Termination reason: Refutation not found, incomplete strategy
% 1.51/0.55 % (1547356)Time elapsed: 0.010 s
% 1.51/0.55 % (1547356)Peak memory usage: 12 MB
% 1.51/0.55 % (1547356)Instructions burned: 16 (million)
% 1.51/0.55 % (1547357)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=1343869803:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2997 on theBenchmark for (2997ds/21Mi)
% 1.51/0.55 % (1547356)------------------------------
% 1.51/0.55 % (1547356)------------------------------
% 1.51/0.55 % (1547357)Instruction limit reached!
% 1.51/0.55 % (1547357)------------------------------
% 1.51/0.55 % (1547357)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.55 % (1547357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.55 % (1547357)CaDiCaL version: 2.1.3
% 1.51/0.55 % (1547357)Termination reason: Instruction limit
% 1.51/0.55 % (1547357)Termination phase: Saturation
% 1.51/0.55 % (1547357)Time elapsed: 0.011 s
% 1.51/0.55 % (1547357)Peak memory usage: 12 MB
% 1.51/0.55 % (1547357)Instructions burned: 23 (million)
% 1.51/0.55 % (1547355)Instruction limit reached!
% 1.51/0.55 % (1547355)------------------------------
% 1.51/0.55 % (1547355)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.55 % (1547355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.55 % (1547355)CaDiCaL version: 2.1.3
% 1.51/0.55 % (1547355)Termination reason: Instruction limit
% 1.51/0.55 % (1547355)Termination phase: Saturation
% 1.51/0.55 % (1547355)Time elapsed: 0.026 s
% 1.51/0.55 % (1547355)Peak memory usage: 12 MB
% 1.51/0.55 % (1547355)Instructions burned: 46 (million)
% 1.51/0.55 % (1547361)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 1.51/0.55 % (1547340)Instruction limit reached!
% 1.51/0.55 % (1547340)------------------------------
% 1.51/0.55 % (1547340)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.55 % (1547340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.55 % (1547340)CaDiCaL version: 2.1.3
% 1.51/0.55 % (1547340)Termination reason: Instruction limit
% 1.51/0.55 % (1547340)Termination phase: Saturation
% 1.51/0.55 % (1547340)Time elapsed: 0.069 s
% 1.51/0.55 % (1547340)Peak memory usage: 12 MB
% 1.51/0.55 % (1547340)Instructions burned: 169 (million)
% 1.51/0.55 % (1547361)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=4164341295:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/200Mi)
% 1.51/0.55 % (1547338)Instruction limit reached!
% 1.51/0.55 % (1547338)------------------------------
% 1.51/0.55 % (1547338)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.55 % (1547338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.55 % (1547338)CaDiCaL version: 2.1.3
% 1.51/0.55 % (1547338)Termination reason: Instruction limit
% 1.51/0.55 % (1547338)Termination phase: Saturation
% 1.51/0.55 % (1547338)Time elapsed: 0.089 s
% 1.51/0.55 % (1547338)Peak memory usage: 13 MB
% 1.51/0.55 % (1547338)Instructions burned: 183 (million)
% 1.51/0.55 % (1547362)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3412662265:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/13Mi)
% 1.51/0.55 % (1547363)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=1502993959:i=66:s2at=3:nm=2:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/66Mi)
% 1.51/0.55 % (1547364)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=658672255:i=51:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/51Mi)
% 1.51/0.55 % (1547362)Instruction limit reached!
% 1.51/0.55 % (1547362)------------------------------
% 1.51/0.55 % (1547362)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.55 % (1547362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.55 % (1547362)CaDiCaL version: 2.1.3
% 1.51/0.55 % (1547362)Termination reason: Instruction limit
% 1.51/0.55 % (1547362)Termination phase: Saturation
% 1.51/0.55 % (1547362)Time elapsed: 0.008 s
% 1.51/0.55 % (1547362)Peak memory usage: 12 MB
% 1.51/0.55 % (1547362)Instructions burned: 14 (million)
% 1.51/0.55 % (1547348)Instruction limit reached!
% 1.51/0.55 % (1547348)------------------------------
% 1.51/0.55 % (1547348)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.55 % (1547348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.55 % (1547348)CaDiCaL version: 2.1.3
% 1.51/0.55 % (1547348)Termination reason: Instruction limit
% 1.51/0.55 % (1547348)Termination phase: Saturation
% 1.51/0.55 % (1547348)Time elapsed: 0.086 s
% 1.51/0.55 % (1547348)Peak memory usage: 13 MB
% 1.51/0.55 % (1547348)Instructions burned: 317 (million)
% 1.51/0.55 % (1547366)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=3430879820:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/31Mi)
% 1.51/0.55 % (1547371)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=62570185:cond=on:i=34:hud=10:nm=10:rtra=on_2996 on theBenchmark for (2996ds/34Mi)
% 1.51/0.55 % (1547361) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1547264-1547361"...
% 1.51/0.55 % (1547366)Refutation not found, incomplete strategy
% 1.51/0.55 % (1547366)------------------------------
% 1.51/0.55 % (1547366)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.55 % (1547366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.55 % (1547366)CaDiCaL version: 2.1.3
% 1.51/0.55 % (1547366)Termination reason: Refutation not found, incomplete strategy
% 1.51/0.55 % (1547366)Time elapsed: 0.007 s
% 1.51/0.55 % (1547366)Peak memory usage: 12 MB
% 1.51/0.55 % (1547366)Instructions burned: 12 (million)
% 1.51/0.55 % (1547366)------------------------------
% 1.51/0.55 % (1547366)------------------------------
% 1.51/0.55 % (1547361)...printing done.
% 1.51/0.55 % (1547361)Refutation found. Thanks to Tanya!
% 1.51/0.55 % SZS status Theorem for theBenchmark
% 1.51/0.55 % SZS output start Proof for theBenchmark
% 1.51/0.55 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 1.51/0.55 thf(func_def_0, type, cHALF: ($i > $i > $o)).
% 1.51/0.55 thf(func_def_1, type, cDOUBLE: ($i > $i > $o)).
% 1.51/0.55 thf(func_def_2, type, cS: ($i > $i)).
% 1.51/0.55 thf(func_def_7, type, sK0: (($i > $i > $o) > $i)).
% 1.51/0.55 thf(func_def_8, type, sK1: (($i > $i > $o) > $i)).
% 1.51/0.55 thf(func_def_11, type, db0: !>[X0: $tType]:(X0)).
% 1.51/0.55 thf(func_def_12, type, db1: !>[X0: $tType]:(X0)).
% 1.51/0.55 thf(func_def_13, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 1.51/0.55 thf(func_def_14, type, db2: !>[X0: $tType]:(X0)).
% 1.51/0.55 thf(func_def_15, type, sK4: (($i > $i > $o) > ($i > $i > $i) > $i)).
% 1.51/0.55 thf(func_def_16, type, sK5: (($i > $i > $i) > ($i > $i > $i) > $i)).
% 1.51/0.55 thf(f1,conjecture,(
% 1.51/0.55 ((cHALF @ c0 @ c0) & ! [X4 : $i,X3 : $i] : ((cHALF @ X3 @ X4) => (cHALF @ (cS @ (cS @ X3)) @ (cS @ X4))) & ! [X2 : $i,X1 : $i,X0 : ($i > $i > $o)] : (((X0 @ c0 @ c0) & (cDOUBLE @ X1 @ X2) & ! [X3 : $i,X4 : $i] : ((X0 @ X3 @ X4) => (X0 @ (cS @ X3) @ (cS @ (cS @ X4))))) => (X0 @ X1 @ X2)) & (cHALF @ (cS @ c0) @ c0)) => ! [X1 : $i,X2 : $i] : ((cDOUBLE @ X1 @ X2) => (cHALF @ X2 @ X1))),
% 1.51/0.55 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM301)).
% 1.51/0.55 thf(f2,negated_conjecture,(
% 1.51/0.55 ~(((cHALF @ c0 @ c0) & ! [X4 : $i,X3 : $i] : ((cHALF @ X3 @ X4) => (cHALF @ (cS @ (cS @ X3)) @ (cS @ X4))) & ! [X2 : $i,X1 : $i,X0 : ($i > $i > $o)] : (((X0 @ c0 @ c0) & (cDOUBLE @ X1 @ X2) & ! [X3 : $i,X4 : $i] : ((X0 @ X3 @ X4) => (X0 @ (cS @ X3) @ (cS @ (cS @ X4))))) => (X0 @ X1 @ X2)) & (cHALF @ (cS @ c0) @ c0)) => ! [X1 : $i,X2 : $i] : ((cDOUBLE @ X1 @ X2) => (cHALF @ X2 @ X1)))),
% 1.51/0.55 inference(negated_conjecture,[status(cth)],[f1])).
% 1.51/0.55 thf(f3,plain,(
% 1.51/0.55 ~(((cHALF @ c0 @ c0) & ! [X0 : $i,X1 : $i] : ((cHALF @ X1 @ X0) => (cHALF @ (cS @ (cS @ X1)) @ (cS @ X0))) & ! [X2 : $i,X3 : $i,X4 : ($i > $i > $o)] : (((X4 @ c0 @ c0) & (cDOUBLE @ X3 @ X2) & ! [X5 : $i,X6 : $i] : ((X4 @ X5 @ X6) => (X4 @ (cS @ X5) @ (cS @ (cS @ X6))))) => (X4 @ X3 @ X2)) & (cHALF @ (cS @ c0) @ c0)) => ! [X7 : $i,X8 : $i] : ((cDOUBLE @ X7 @ X8) => (cHALF @ X8 @ X7)))),
% 1.51/0.55 inference(rectify,[],[f2])).
% 1.51/0.55 thf(f4,plain,(
% 1.51/0.55 ~(((((cHALF @ c0 @ c0)) = $true) & (((cHALF @ (cS @ c0) @ c0)) = $true) & ! [X2 : $i,X3 : $i,X4 : ($i > $i > $o)] : ((! [X6 : $i,X5 : $i] : (($true = ((X4 @ X5 @ X6))) => (((X4 @ (cS @ X5) @ (cS @ (cS @ X6)))) = $true)) & ($true = ((X4 @ c0 @ c0))) & (((cDOUBLE @ X3 @ X2)) = $true)) => (((X4 @ X3 @ X2)) = $true)) & ! [X1 : $i,X0 : $i] : ((((cHALF @ X1 @ X0)) = $true) => (((cHALF @ (cS @ (cS @ X1)) @ (cS @ X0))) = $true))) => ! [X7 : $i,X8 : $i] : (($true = ((cDOUBLE @ X7 @ X8))) => (((cHALF @ X8 @ X7)) = $true)))),
% 1.51/0.55 inference(fool_elimination,[],[f3])).
% 1.51/0.55 thf(f5,plain,(
% 1.51/0.55 ? [X8 : $i,X7 : $i] : (($true = ((cDOUBLE @ X7 @ X8))) & (((cHALF @ X8 @ X7)) != $true)) & ((((cHALF @ c0 @ c0)) = $true) & (((cHALF @ (cS @ c0) @ c0)) = $true) & ! [X2 : $i,X3 : $i,X4 : ($i > $i > $o)] : ((((X4 @ X3 @ X2)) = $true) | (? [X6 : $i,X5 : $i] : (($true = ((X4 @ X5 @ X6))) & (((X4 @ (cS @ X5) @ (cS @ (cS @ X6)))) != $true)) | ($true != ((X4 @ c0 @ c0))) | (((cDOUBLE @ X3 @ X2)) != $true))) & ! [X0 : $i,X1 : $i] : ((((cHALF @ X1 @ X0)) != $true) | (((cHALF @ (cS @ (cS @ X1)) @ (cS @ X0))) = $true)))),
% 1.51/0.55 inference(ennf_transformation,[],[f4])).
% 1.51/0.55 thf(f6,plain,(
% 1.51/0.55 ! [X2 : $i,X4 : ($i > $i > $o),X3 : $i] : (? [X6 : $i,X5 : $i] : (($true = ((X4 @ X5 @ X6))) & (((X4 @ (cS @ X5) @ (cS @ (cS @ X6)))) != $true)) | (((cDOUBLE @ X3 @ X2)) != $true) | ($true != ((X4 @ c0 @ c0))) | (((X4 @ X3 @ X2)) = $true)) & ! [X0 : $i,X1 : $i] : ((((cHALF @ X1 @ X0)) != $true) | (((cHALF @ (cS @ (cS @ X1)) @ (cS @ X0))) = $true)) & (((cHALF @ (cS @ c0) @ c0)) = $true) & ? [X8 : $i,X7 : $i] : (($true = ((cDOUBLE @ X7 @ X8))) & (((cHALF @ X8 @ X7)) != $true)) & (((cHALF @ c0 @ c0)) = $true)),
% 1.51/0.55 inference(flattening,[],[f5])).
% 1.51/0.55 thf(f7,plain,(
% 1.51/0.55 ! [X0 : $i,X1 : ($i > $i > $o),X2 : $i] : (? [X3 : $i,X4 : $i] : ((((X1 @ X4 @ X3)) = $true) & ($true != ((X1 @ (cS @ X4) @ (cS @ (cS @ X3)))))) | (((cDOUBLE @ X2 @ X0)) != $true) | (((X1 @ c0 @ c0)) != $true) | (((X1 @ X2 @ X0)) = $true)) & ! [X5 : $i,X6 : $i] : ((((cHALF @ X6 @ X5)) != $true) | (((cHALF @ (cS @ (cS @ X6)) @ (cS @ X5))) = $true)) & (((cHALF @ (cS @ c0) @ c0)) = $true) & ? [X7 : $i,X8 : $i] : ((((cDOUBLE @ X8 @ X7)) = $true) & ($true != ((cHALF @ X7 @ X8)))) & (((cHALF @ c0 @ c0)) = $true)),
% 1.51/0.55 inference(rectify,[],[f6])).
% 1.51/0.55 thf(f8,plain,(
% 1.51/0.55 ! [X0 : $i,X1 : ($i > $i > $o),X2 : $i] : ((($true = ((X1 @ (sK1 @ X1) @ (sK0 @ X1)))) & (((X1 @ (cS @ (sK1 @ X1)) @ (cS @ (cS @ (sK0 @ X1))))) != $true)) | (((cDOUBLE @ X2 @ X0)) != $true) | (((X1 @ c0 @ c0)) != $true) | (((X1 @ X2 @ X0)) = $true)) & ! [X5 : $i,X6 : $i] : ((((cHALF @ X6 @ X5)) != $true) | (((cHALF @ (cS @ (cS @ X6)) @ (cS @ X5))) = $true)) & (((cHALF @ (cS @ c0) @ c0)) = $true) & ((((cDOUBLE @ sK3 @ sK2)) = $true) & (((cHALF @ sK2 @ sK3)) != $true)) & (((cHALF @ c0 @ c0)) = $true)),
% 1.51/0.55 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP,vAPP,sK2,sK3]),skolemize(X4,sK1 @ X1),skolemize(X4,sK1 @ X1),skolemize(X7,sK2),skolemize(X8,sK3)],[f7])).
% 1.51/0.55 thf(f9,plain,(
% 1.51/0.55 (((cHALF @ c0 @ c0)) = $true)),
% 1.51/0.55 inference(cnf_transformation,[],[f8])).
% 1.51/0.55 thf(f10,plain,(
% 1.51/0.55 (((cHALF @ sK2 @ sK3)) != $true)),
% 1.51/0.55 inference(cnf_transformation,[],[f8])).
% 1.51/0.55 thf(f11,plain,(
% 1.51/0.55 (((cDOUBLE @ sK3 @ sK2)) = $true)),
% 1.51/0.55 inference(cnf_transformation,[],[f8])).
% 1.51/0.55 thf(f13,plain,(
% 1.51/0.55 ( ! [X6 : $i,X5 : $i] : ((((cHALF @ (cS @ (cS @ X6)) @ (cS @ X5))) = $true) | (((cHALF @ X6 @ X5)) != $true)) )),
% 1.51/0.55 inference(cnf_transformation,[],[f8])).
% 1.51/0.55 thf(f14,plain,(
% 1.51/0.55 ( ! [X2 : $i,X0 : $i,X1 : ($i > $i > $o)] : ((((X1 @ (cS @ (sK1 @ X1)) @ (cS @ (cS @ (sK0 @ X1))))) != $true) | (((cDOUBLE @ X2 @ X0)) != $true) | (((X1 @ c0 @ c0)) != $true) | (((X1 @ X2 @ X0)) = $true)) )),
% 1.51/0.55 inference(cnf_transformation,[],[f8])).
% 1.51/0.55 thf(f15,plain,(
% 1.51/0.55 ( ! [X2 : $i,X0 : $i,X1 : ($i > $i > $o)] : (($true = ((X1 @ (sK1 @ X1) @ (sK0 @ X1)))) | (((X1 @ X2 @ X0)) = $true) | (((cDOUBLE @ X2 @ X0)) != $true) | (((X1 @ c0 @ c0)) != $true)) )),
% 1.51/0.55 inference(cnf_transformation,[],[f8])).
% 1.51/0.55 thf(f29,plain,(
% 1.51/0.55 ( ! [X2 : $i,X3 : $i,X0 : ($i > $i > $i),X1 : $i,X4 : $i] : ((((sK1 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ (X0 @ Y0 @ Y1) @ Y0)))))) != X2) | ($true != $true) | ($true = (((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ (X0 @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))) @ X3 @ X4))) | ((((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ (X0 @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))) @ c0 @ c0)) != $true) | (((cHALF @ X1 @ X2)) != $true) | (((X0 @ (cS @ (sK1 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ (X0 @ Y0 @ Y1) @ Y0)))))) @ (cS @ (cS @ (sK0 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ (X0 @ Y0 @ Y1) @ Y0))))))))) != ((cS @ (cS @ X1)))) | (((cDOUBLE @ X3 @ X4)) != $true)) )),
% 1.51/0.55 inference(constrained_superposition,[],[f14,f13])).
% 1.51/0.55 thf(f50,plain,(
% 1.51/0.55 ( ! [X2 : $i,X3 : $i,X0 : ($i > $i > $i),X1 : $i,X4 : $i] : (($true = (((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ (X0 @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))) @ X3 @ X4))) | ((((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ (X0 @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))) @ c0 @ c0)) != $true) | (((sK1 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ (X0 @ Y0 @ Y1) @ Y0)))))) != X2) | (((X0 @ (cS @ (sK1 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ (X0 @ Y0 @ Y1) @ Y0)))))) @ (cS @ (cS @ (sK0 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ (X0 @ Y0 @ Y1) @ Y0))))))))) != ((cS @ (cS @ X1)))) | (((cHALF @ X1 @ X2)) != $true) | (((cDOUBLE @ X3 @ X4)) != $true)) )),
% 1.51/0.55 inference(trivial_inequality_removal,[],[f29])).
% 1.51/0.55 thf(f51,plain,(
% 1.51/0.55 ( ! [X2 : $i,X3 : $i,X0 : ($i > $i > $i),X1 : $i,X4 : $i] : ((((X0 @ (cS @ (sK1 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ (X0 @ Y0 @ Y1) @ Y0)))))) @ (cS @ (cS @ (sK0 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ (X0 @ Y0 @ Y1) @ Y0))))))))) != ((cS @ (cS @ X1)))) | (((sK1 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ (X0 @ Y0 @ Y1) @ Y0)))))) != X2) | (((cHALF @ X1 @ X2)) != $true) | (((cHALF @ (X0 @ X3 @ X4) @ X3)) = $true) | (((cDOUBLE @ X3 @ X4)) != $true) | ($true != ((cHALF @ (X0 @ c0 @ c0) @ c0)))) )),
% 1.51/0.56 inference(beta-eta_normalization,[],[f50])).
% 1.51/0.56 thf(f126,plain,(
% 1.51/0.56 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : ($i > $i > $o)] : (($true != ((cHALF @ (sK0 @ X1) @ X0))) | (((sK1 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1) @ Y0)))))) != X0) | (((cHALF @ ((^[Y0 : $i]: ((^[Y1 : $i]: (Y1)))) @ X2 @ X3) @ X2)) = $true) | (((cHALF @ ((^[Y0 : $i]: ((^[Y1 : $i]: (Y1)))) @ c0 @ c0) @ c0)) != $true) | ((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0)))) != X1) | (((cDOUBLE @ X2 @ X3)) != $true)) )),
% 1.51/0.56 inference(equality_resolution,[],[f51])).
% 1.51/0.56 thf(f130,plain,(
% 1.51/0.56 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : ($i > $i > $o)] : ((((cDOUBLE @ X2 @ X3)) != $true) | (((sK1 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0)))))) != X0) | ($true != ((cHALF @ (sK0 @ X1) @ X0))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0)))) != X1) | (((cHALF @ X3 @ X2)) = $true) | (((cHALF @ c0 @ c0)) != $true)) )),
% 1.51/0.56 inference(beta-eta_normalization,[],[f126])).
% 1.51/0.56 thf(f134,plain,(
% 1.51/0.56 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : ($i > $i > $o)] : (((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0)))) != X1) | (((cHALF @ X3 @ X2)) = $true) | (((sK1 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0)))))) != X0) | ($true != $true) | ($true != ((cHALF @ (sK0 @ X1) @ X0))) | (((cDOUBLE @ X2 @ X3)) != $true)) )),
% 1.51/0.56 inference(forward_demodulation,[],[f130,f9])).
% 1.51/0.56 thf(f135,plain,(
% 1.51/0.56 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : ($i > $i > $o)] : ((((sK1 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0)))))) != X0) | ((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0)))) != X1) | ($true != ((cHALF @ (sK0 @ X1) @ X0))) | (((cHALF @ X3 @ X2)) = $true) | (((cDOUBLE @ X2 @ X3)) != $true)) )),
% 1.51/0.56 inference(trivial_inequality_removal,[],[f134])).
% 1.51/0.56 thf(f176,plain,(
% 1.51/0.56 ( ! [X2 : $i,X0 : ($i > $i > $o),X1 : $i] : ((((cHALF @ (sK0 @ X0) @ (sK1 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0))))))) != $true) | (((cDOUBLE @ X2 @ X1)) != $true) | ((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0)))) != X0) | (((cHALF @ X1 @ X2)) = $true)) )),
% 1.51/0.56 inference(equality_resolution,[],[f135])).
% 1.51/0.56 thf(f177,plain,(
% 1.51/0.56 ( ! [X2 : $i,X3 : $i,X0 : ($i > $i > $o),X1 : ($i > $i > $i),X4 : $i,X5 : $i] : (($true = (((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ (X1 @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))) @ X4 @ X5))) | (((cDOUBLE @ X2 @ X3)) != $true) | ($true != ((cDOUBLE @ X4 @ X5))) | (((sK0 @ X0)) != ((X1 @ (sK1 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ (X1 @ Y0 @ Y1) @ Y0))))) @ (sK0 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ (X1 @ Y0 @ Y1) @ Y0)))))))) | ((((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ (X1 @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))) @ c0 @ c0)) != $true) | ((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0)))) != X0) | (((cHALF @ X3 @ X2)) = $true) | ($true != $true) | ((^[Y0 : $i]: ((^[Y1 : $i]: (Y1)))) != X1)) )),
% 1.51/0.56 inference(constrained_superposition,[],[f176,f15])).
% 1.51/0.56 thf(f182,plain,(
% 1.51/0.56 ( ! [X2 : $i,X3 : $i,X0 : ($i > $i > $o),X1 : ($i > $i > $i),X4 : $i,X5 : $i] : ((((sK0 @ X0)) != ((X1 @ (sK1 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ (X1 @ Y0 @ Y1) @ Y0))))) @ (sK0 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ (X1 @ Y0 @ Y1) @ Y0)))))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0)))) != X0) | ((((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ (X1 @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))) @ c0 @ c0)) != $true) | (((cDOUBLE @ X2 @ X3)) != $true) | ($true = (((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ (X1 @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))) @ X4 @ X5))) | (((cHALF @ X3 @ X2)) = $true) | ((^[Y0 : $i]: ((^[Y1 : $i]: (Y1)))) != X1) | ($true != ((cDOUBLE @ X4 @ X5)))) )),
% 1.51/0.56 inference(trivial_inequality_removal,[],[f177])).
% 1.51/0.56 thf(f183,plain,(
% 1.51/0.56 ( ! [X2 : $i,X3 : $i,X0 : ($i > $i > $o),X1 : ($i > $i > $i),X4 : $i,X5 : $i] : ((((sK0 @ X0)) != ((X1 @ (sK1 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ (X1 @ Y0 @ Y1) @ Y0))))) @ (sK0 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ (X1 @ Y0 @ Y1) @ Y0)))))))) | ($true != ((cDOUBLE @ X4 @ X5))) | ($true = ((cHALF @ (X1 @ X4 @ X5) @ X4))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (Y1)))) != X1) | ((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0)))) != X0) | (((cDOUBLE @ X2 @ X3)) != $true) | ($true != ((cHALF @ (X1 @ c0 @ c0) @ c0))) | (((cHALF @ X3 @ X2)) = $true)) )),
% 1.51/0.56 inference(beta-eta_normalization,[],[f182])).
% 1.51/0.56 thf(f204,plain,(
% 1.51/0.56 ( ! [X2 : ($i > $i > $i),X3 : ($i > $i > $i),X0 : $i,X1 : $i,X4 : $i,X5 : $i] : (((^[Y0 : $i]: ((^[Y1 : $i]: (Y1)))) != (^[Y0 : $i]: ((^[Y1 : $i]: (Y1))))) | ($true != ((cDOUBLE @ X4 @ X5))) | (((cHALF @ ((^[Y0 : $i]: ((^[Y1 : $i]: (Y1)))) @ c0 @ c0) @ c0)) != $true) | (((cHALF @ X5 @ X4)) = $true) | ((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ (X2 @ Y0 @ Y1) @ (X3 @ Y0 @ Y1))))) != (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0))))) | ($true = ((cHALF @ ((^[Y0 : $i]: ((^[Y1 : $i]: (Y1)))) @ X0 @ X1) @ X0))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (Y0)))) != X3) | ((^[Y0 : $i]: ((^[Y1 : $i]: (Y1)))) != X2) | (((cDOUBLE @ X0 @ X1)) != $true)) )),
% 1.51/0.56 inference(equality_resolution,[],[f183])).
% 1.51/0.56 thf(f206,plain,(
% 1.51/0.56 ( ! [X2 : ($i > $i > $i),X3 : ($i > $i > $i),X0 : $i,X1 : $i,X4 : $i,X5 : $i] : ((((cDOUBLE @ X0 @ X1)) != $true) | (((cHALF @ X5 @ X4)) = $true) | ($true = ((cHALF @ ((^[Y0 : $i]: ((^[Y1 : $i]: (Y1)))) @ X0 @ X1) @ X0))) | (((cHALF @ ((^[Y0 : $i]: ((^[Y1 : $i]: (Y1)))) @ c0 @ c0) @ c0)) != $true) | ($true != ((cDOUBLE @ X4 @ X5))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ (X2 @ Y0 @ Y1) @ (X3 @ Y0 @ Y1))))) != (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (Y0)))) != X3) | ((^[Y0 : $i]: ((^[Y1 : $i]: (Y1)))) != X2)) )),
% 1.51/0.56 inference(trivial_inequality_removal,[],[f204])).
% 1.51/0.56 thf(f207,plain,(
% 1.51/0.56 ( ! [X2 : ($i > $i > $i),X3 : ($i > $i > $i),X0 : $i,X1 : $i,X4 : $i,X5 : $i] : ((((cHALF @ X5 @ X4)) = $true) | ($true != ((cDOUBLE @ X4 @ X5))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ (X2 @ Y0 @ Y1) @ (X3 @ Y0 @ Y1))))) != (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (Y0)))) != X3) | (((cHALF @ c0 @ c0)) != $true) | ((^[Y0 : $i]: ((^[Y1 : $i]: (Y1)))) != X2) | (((cDOUBLE @ X0 @ X1)) != $true) | (((cHALF @ X1 @ X0)) = $true)) )),
% 1.51/0.56 inference(beta-eta_normalization,[],[f206])).
% 1.51/0.56 thf(f209,plain,(
% 1.51/0.56 ( ! [X2 : ($i > $i > $i),X3 : ($i > $i > $i),X0 : $i,X1 : $i,X4 : $i,X5 : $i] : ((((cHALF @ X1 @ X0)) = $true) | ((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ (X2 @ Y0 @ Y1) @ (X3 @ Y0 @ Y1))))) != (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0))))) | (((cDOUBLE @ X0 @ X1)) != $true) | (((cHALF @ X5 @ X4)) = $true) | ($true != ((cDOUBLE @ X4 @ X5))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (Y0)))) != X3) | ((^[Y0 : $i]: ((^[Y1 : $i]: (Y1)))) != X2) | ($true != $true)) )),
% 1.51/0.56 inference(forward_demodulation,[],[f207,f9])).
% 1.51/0.56 thf(f210,plain,(
% 1.51/0.56 ( ! [X2 : ($i > $i > $i),X3 : ($i > $i > $i),X0 : $i,X1 : $i,X4 : $i,X5 : $i] : (((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ (X2 @ Y0 @ Y1) @ (X3 @ Y0 @ Y1))))) != (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (Y0)))) != X3) | (((cHALF @ X5 @ X4)) = $true) | ($true != ((cDOUBLE @ X4 @ X5))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (Y1)))) != X2) | (((cDOUBLE @ X0 @ X1)) != $true) | (((cHALF @ X1 @ X0)) = $true)) )),
% 1.51/0.56 inference(trivial_inequality_removal,[],[f209])).
% 1.51/0.56 thf(f215,plain,(
% 1.51/0.56 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : ((((cHALF @ X3 @ X2)) = $true) | (((cDOUBLE @ X2 @ X3)) != $true) | ($true = ((cHALF @ X0 @ X1))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (Y0)))) != (^[Y0 : $i]: ((^[Y1 : $i]: (Y0))))) | (((cDOUBLE @ X1 @ X0)) != $true) | ((^[Y0 : $i]: ((^[Y1 : $i]: (Y1)))) != (^[Y0 : $i]: ((^[Y1 : $i]: (Y1)))))) )),
% 1.51/0.56 inference(equality_resolution,[],[f210])).
% 1.51/0.56 thf(f216,plain,(
% 1.51/0.56 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true = ((cHALF @ X0 @ X1))) | (((cDOUBLE @ X1 @ X0)) != $true) | (((cDOUBLE @ X2 @ X3)) != $true) | (((cHALF @ X3 @ X2)) = $true)) )),
% 1.51/0.56 inference(trivial_inequality_removal,[],[f215])).
% 1.51/0.56 thf(f229,plain,(
% 1.51/0.56 ( ! [X0 : $i,X1 : $i] : (($true != $true) | ($true = ((cHALF @ X0 @ X1))) | (((cDOUBLE @ X1 @ X0)) != $true) | (((cDOUBLE @ X1 @ X0)) != $true)) )),
% 1.51/0.56 inference(equality_factoring,[],[f216])).
% 1.51/0.56 thf(f231,plain,(
% 1.51/0.56 ( ! [X0 : $i,X1 : $i] : ((((cDOUBLE @ X1 @ X0)) != $true) | ($true = ((cHALF @ X0 @ X1))) | ($true != $true)) )),
% 1.51/0.56 inference(duplicate_literal_removal,[],[f229])).
% 1.51/0.56 thf(f232,plain,(
% 1.51/0.56 ( ! [X0 : $i,X1 : $i] : (($true = ((cHALF @ X0 @ X1))) | (((cDOUBLE @ X1 @ X0)) != $true)) )),
% 1.51/0.56 inference(trivial_inequality_removal,[],[f231])).
% 1.51/0.56 thf(f254,plain,(
% 1.51/0.56 ($true != $true) | (((cDOUBLE @ sK3 @ sK2)) != $true)),
% 1.51/0.56 inference(constrained_superposition,[],[f10,f232])).
% 1.51/0.56 thf(f257,plain,(
% 1.51/0.56 (((cDOUBLE @ sK3 @ sK2)) != $true)),
% 1.51/0.56 inference(trivial_inequality_removal,[],[f254])).
% 1.51/0.56 thf(f271,plain,(
% 1.51/0.56 ($true != $true)),
% 1.51/0.56 inference(forward_demodulation,[],[f257,f11])).
% 1.51/0.56 thf(f272,plain,(
% 1.51/0.56 $false),
% 1.51/0.56 inference(trivial_inequality_removal,[],[f271])).
% 1.51/0.56 % SZS output end Proof for theBenchmark
% 1.51/0.56 % (1547361)------------------------------
% 1.51/0.56 % (1547361)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.51/0.56 % (1547361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.51/0.56 % (1547361)CaDiCaL version: 2.1.3
% 1.51/0.56 % (1547361)Termination reason: Refutation
% 1.51/0.56 % (1547361)Time elapsed: 0.034 s
% 1.51/0.56 % (1547361)Peak memory usage: 12 MB
% 1.51/0.56 % (1547361)Instructions burned: 61 (million)
% 1.51/0.56 % (1547264)Success in time 0.319 s
% 1.51/0.56 % Vampire exiting
%------------------------------------------------------------------------------