%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO327^5 : 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 : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:47:26 AM UTC 2026
% Result : Theorem 1.63s 0.53s
% Output : Refutation 1.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO327^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n009.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Sep 29 16:45:30 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.09/0.24 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
% 0.21/0.36 % (52118)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.21/0.36 % (52130)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=2605876480: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)
% 0.21/0.36 % (52133)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.21/0.36 % (52133)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
% 0.21/0.36 % (52130)Refutation not found, incomplete strategy
% 0.21/0.36 % (52130)------------------------------
% 0.21/0.36 % (52130)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.36 % (52130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.36 % (52130)CaDiCaL version: 2.1.3
% 0.21/0.36 % (52130)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.36 % (52130)Time elapsed: 0.005 s
% 0.21/0.36 % (52130)Peak memory usage: 12 MB
% 0.21/0.36 % (52130)Instructions burned: 15 (million)
% 0.21/0.36 % (52130)------------------------------
% 0.21/0.36 % (52130)------------------------------
% 0.21/0.36 % (52127)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=4010864592:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.21/0.36 % (52128)lrs+10_16_si=on:nwc=1.5:random_seed=2965382313:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.21/0.36 % (52129)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=785893546:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.21/0.36 % (52131)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1144968465:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.21/0.36 % (52132)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3292505940:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.21/0.36 % (52133)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=1869594095:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.21/0.36 % (52129)Instruction limit reached!
% 0.21/0.36 % (52129)------------------------------
% 0.21/0.36 % (52129)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.36 % (52129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.36 % (52129)CaDiCaL version: 2.1.3
% 0.21/0.36 % (52129)Termination reason: Instruction limit
% 0.21/0.36 % (52129)Termination phase: Saturation
% 0.21/0.36 % (52129)Time elapsed: 0.003 s
% 0.21/0.36 % (52129)Peak memory usage: 12 MB
% 0.21/0.36 % (52129)Instructions burned: 4 (million)
% 0.21/0.36 % (52135)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3742820541:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.21/0.36 % (52128)Instruction limit reached!
% 0.21/0.36 % (52128)------------------------------
% 0.21/0.36 % (52128)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.36 % (52128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.36 % (52128)CaDiCaL version: 2.1.3
% 0.21/0.36 % (52128)Termination reason: Instruction limit
% 0.21/0.36 % (52128)Termination phase: Saturation
% 0.21/0.36 % (52128)Time elapsed: 0.009 s
% 0.21/0.36 % (52128)Peak memory usage: 12 MB
% 0.21/0.36 % (52128)Instructions burned: 18 (million)
% 0.21/0.36 % (52135)Instruction limit reached!
% 0.21/0.36 % (52135)------------------------------
% 0.21/0.36 % (52135)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.36 % (52135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.36 % (52135)CaDiCaL version: 2.1.3
% 0.21/0.36 % (52135)Termination reason: Instruction limit
% 0.21/0.36 % (52135)Termination phase: Saturation
% 0.21/0.36 % (52135)Time elapsed: 0.001 s
% 0.21/0.36 % (52135)Peak memory usage: 12 MB
% 0.21/0.36 % (52135)Instructions burned: 2 (million)
% 0.21/0.36 % (52131)Instruction limit reached!
% 0.21/0.36 % (52131)------------------------------
% 0.21/0.36 % (52131)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.38 % (52131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.38 % (52131)CaDiCaL version: 2.1.3
% 0.21/0.38 % (52131)Termination reason: Instruction limit
% 0.21/0.38 % (52131)Termination phase: Saturation
% 0.21/0.38 % (52131)Time elapsed: 0.014 s
% 0.21/0.38 % (52131)Peak memory usage: 12 MB
% 0.21/0.38 % (52131)Instructions burned: 25 (million)
% 0.21/0.38 % (52145)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3760676050:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.21/0.38 % (52142)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1142539784:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.21/0.38 % (52144)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.21/0.38 % (52145)Instruction limit reached!
% 0.21/0.38 % (52145)------------------------------
% 0.21/0.38 % (52145)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.38 % (52145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.38 % (52145)CaDiCaL version: 2.1.3
% 0.21/0.38 % (52145)Termination reason: Instruction limit
% 0.21/0.38 % (52145)Termination phase: Saturation
% 0.21/0.38 % (52145)Time elapsed: 0.004 s
% 0.21/0.38 % (52145)Peak memory usage: 12 MB
% 0.21/0.38 % (52145)Instructions burned: 15 (million)
% 0.21/0.38 % (52142)Instruction limit reached!
% 0.21/0.38 % (52142)------------------------------
% 0.21/0.38 % (52142)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.38 % (52142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.38 % (52142)CaDiCaL version: 2.1.3
% 0.21/0.38 % (52142)Termination reason: Instruction limit
% 0.21/0.38 % (52142)Termination phase: Saturation
% 0.21/0.38 % (52142)Time elapsed: 0.004 s
% 0.21/0.38 % (52142)Peak memory usage: 12 MB
% 0.21/0.38 % (52142)Instructions burned: 6 (million)
% 0.21/0.38 % (52144)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3253771180:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.21/0.38 % (52144)Instruction limit reached!
% 0.21/0.38 % (52144)------------------------------
% 0.21/0.38 % (52144)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.38 % (52144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.38 % (52144)CaDiCaL version: 2.1.3
% 0.21/0.38 % (52144)Termination reason: Instruction limit
% 0.21/0.38 % (52144)Termination phase: Saturation
% 0.21/0.38 % (52144)Time elapsed: 0.005 s
% 0.21/0.38 % (52144)Peak memory usage: 12 MB
% 0.21/0.38 % (52144)Instructions burned: 9 (million)
% 0.21/0.38 % (52149)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=1275871034:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.21/0.38 % (52146)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
% 0.21/0.38 % (52146)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.21/0.38 % (52146)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3136073405:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.21/0.38 % (52127)Instruction limit reached!
% 0.21/0.38 % (52127)------------------------------
% 0.21/0.38 % (52127)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.38 % (52127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.38 % (52127)CaDiCaL version: 2.1.3
% 0.21/0.38 % (52127)Termination reason: Instruction limit
% 0.21/0.38 % (52127)Termination phase: Saturation
% 0.21/0.38 % (52127)Time elapsed: 0.041 s
% 0.21/0.38 % (52127)Peak memory usage: 12 MB
% 0.21/0.38 % (52127)Instructions burned: 88 (million)
% 0.21/0.38 % (52132)Instruction limit reached!
% 0.21/0.38 % (52132)------------------------------
% 0.21/0.38 % (52132)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.38 % (52132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.38 % (52132)CaDiCaL version: 2.1.3
% 0.87/0.41 % (52132)Termination reason: Instruction limit
% 0.87/0.41 % (52132)Termination phase: Saturation
% 0.87/0.41 % (52132)Time elapsed: 0.042 s
% 0.87/0.41 % (52132)Peak memory usage: 12 MB
% 0.87/0.41 % (52132)Instructions burned: 77 (million)
% 0.87/0.41 % (52150)lrs+10_1_si=on:cs=on:random_seed=1602283508:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.87/0.41 % (52152)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.87/0.41 % (52150)Instruction limit reached!
% 0.87/0.41 % (52150)------------------------------
% 0.87/0.41 % (52150)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.41 % (52150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.41 % (52150)CaDiCaL version: 2.1.3
% 0.87/0.41 % (52150)Termination reason: Instruction limit
% 0.87/0.41 % (52150)Termination phase: Saturation
% 0.87/0.41 % (52150)Time elapsed: 0.005 s
% 0.87/0.41 % (52150)Peak memory usage: 12 MB
% 0.87/0.41 % (52150)Instructions burned: 10 (million)
% 0.87/0.41 % (52152)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=743894172:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.87/0.41 % (52152)Instruction limit reached!
% 0.87/0.41 % (52152)------------------------------
% 0.87/0.41 % (52152)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.41 % (52146)Instruction limit reached!
% 0.87/0.41 % (52146)------------------------------
% 0.87/0.41 % (52146)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.41 % (52152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.41 % (52146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.41 % (52152)CaDiCaL version: 2.1.3
% 0.87/0.41 % (52152)Termination reason: Instruction limit
% 0.87/0.41 % (52152)Termination phase: Saturation
% 0.87/0.41 % (52152)Time elapsed: 0.004 s
% 0.87/0.41 % (52152)Peak memory usage: 12 MB
% 0.87/0.41 % (52146)CaDiCaL version: 2.1.3
% 0.87/0.41 % (52152)Instructions burned: 7 (million)
% 0.87/0.41 % (52146)Termination reason: Instruction limit
% 0.87/0.41 % (52146)Termination phase: Saturation
% 0.87/0.41 % (52146)Time elapsed: 0.015 s
% 0.87/0.41 % (52146)Peak memory usage: 11 MB
% 0.87/0.41 % (52146)Instructions burned: 30 (million)
% 0.87/0.41 % (52149)Instruction limit reached!
% 0.87/0.41 % (52149)------------------------------
% 0.87/0.41 % (52149)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.41 % (52149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.41 % (52149)CaDiCaL version: 2.1.3
% 0.87/0.41 % (52149)Termination reason: Instruction limit
% 0.87/0.41 % (52149)Termination phase: Saturation
% 0.87/0.41 % (52149)Time elapsed: 0.022 s
% 0.87/0.41 % (52149)Peak memory usage: 12 MB
% 0.87/0.41 % (52149)Instructions burned: 88 (million)
% 0.87/0.41 % (52155)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2417497580:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.87/0.41 % (52156)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2109640528:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.87/0.41 % (52158)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2688589191:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.87/0.41 % (52163)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3129037307:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/14Mi)
% 0.87/0.41 % (52158)Refutation not found, incomplete strategy
% 0.87/0.41 % (52158)------------------------------
% 0.87/0.41 % (52158)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.41 % (52158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.41 % (52158)CaDiCaL version: 2.1.3
% 0.87/0.41 % (52158)Termination reason: Refutation not found, incomplete strategy
% 0.87/0.41 % (52158)Time elapsed: 0.002 s
% 0.87/0.41 % (52158)Peak memory usage: 12 MB
% 0.87/0.41 % (52158)Instructions burned: 3 (million)
% 0.87/0.41 % (52158)------------------------------
% 0.87/0.41 % (52158)------------------------------
% 0.87/0.41 % (52160)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=14665263:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.87/0.43 % (52161)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=598100312:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/327Mi)
% 0.87/0.43 % (52163)Instruction limit reached!
% 0.87/0.43 % (52163)------------------------------
% 0.87/0.43 % (52163)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.43 % (52163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.43 % (52163)CaDiCaL version: 2.1.3
% 0.87/0.43 % (52163)Termination reason: Instruction limit
% 0.87/0.43 % (52163)Termination phase: Saturation
% 0.87/0.43 % (52163)Time elapsed: 0.004 s
% 0.87/0.43 % (52163)Peak memory usage: 12 MB
% 0.87/0.43 % (52163)Instructions burned: 15 (million)
% 0.87/0.43 % (52156)Refutation not found, incomplete strategy
% 0.87/0.43 % (52156)------------------------------
% 0.87/0.43 % (52156)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.43 % (52156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.43 % (52156)CaDiCaL version: 2.1.3
% 0.87/0.43 % (52156)Termination reason: Refutation not found, incomplete strategy
% 0.87/0.43 % (52156)Time elapsed: 0.014 s
% 0.87/0.43 % (52156)Peak memory usage: 12 MB
% 0.87/0.43 % (52156)Instructions burned: 23 (million)
% 0.87/0.43 % (52156)------------------------------
% 0.87/0.43 % (52156)------------------------------
% 0.87/0.43 % (52155)Instruction limit reached!
% 0.87/0.43 % (52155)------------------------------
% 0.87/0.43 % (52155)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.43 % (52155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.43 % (52155)CaDiCaL version: 2.1.3
% 0.87/0.43 % (52155)Termination reason: Instruction limit
% 0.87/0.43 % (52155)Termination phase: Saturation
% 0.87/0.43 % (52155)Time elapsed: 0.020 s
% 0.87/0.43 % (52155)Peak memory usage: 12 MB
% 0.87/0.43 % (52155)Instructions burned: 40 (million)
% 0.87/0.43 % (52133)Instruction limit reached!
% 0.87/0.43 % (52133)------------------------------
% 0.87/0.43 % (52133)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.43 % (52133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.43 % (52133)CaDiCaL version: 2.1.3
% 0.87/0.43 % (52133)Termination reason: Instruction limit
% 0.87/0.43 % (52133)Termination phase: Saturation
% 0.87/0.43 % (52133)Time elapsed: 0.081 s
% 0.87/0.43 % (52133)Peak memory usage: 13 MB
% 0.87/0.43 % (52133)Instructions burned: 158 (million)
% 0.87/0.43 % (52160)Instruction limit reached!
% 0.87/0.43 % (52160)------------------------------
% 0.87/0.43 % (52160)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.43 % (52160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.43 % (52160)CaDiCaL version: 2.1.3
% 0.87/0.43 % (52160)Termination reason: Instruction limit
% 0.87/0.43 % (52160)Termination phase: Saturation
% 0.87/0.43 % (52160)Time elapsed: 0.009 s
% 0.87/0.43 % (52160)Peak memory usage: 12 MB
% 0.87/0.43 % (52160)Instructions burned: 15 (million)
% 0.87/0.43 % (52167)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=4236471037: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)
% 0.87/0.43 % (52167)Instruction limit reached!
% 0.87/0.43 % (52167)------------------------------
% 0.87/0.43 % (52167)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.43 % (52167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.43 % (52167)CaDiCaL version: 2.1.3
% 0.87/0.43 % (52167)Termination reason: Instruction limit
% 0.87/0.43 % (52167)Termination phase: Saturation
% 0.87/0.43 % (52167)Time elapsed: 0.002 s
% 0.87/0.43 % (52167)Peak memory usage: 12 MB
% 0.87/0.43 % (52167)Instructions burned: 2 (million)
% 0.87/0.43 % (52171)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=2725657863:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.87/0.43 % (52173)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
% 0.87/0.43 % (52173)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.87/0.43 % (52174)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 0.87/0.47 % (52172)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1816731049:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 0.87/0.47 % (52173)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=4066185811:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.87/0.47 % (52174)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=4189262968:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 0.87/0.47 % (52170)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1454449659:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.87/0.47 % (52171)Instruction limit reached!
% 0.87/0.47 % (52171)------------------------------
% 0.87/0.47 % (52171)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.47 % (52171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.47 % (52171)CaDiCaL version: 2.1.3
% 0.87/0.47 % (52171)Termination reason: Instruction limit
% 0.87/0.47 % (52171)Termination phase: Saturation
% 0.87/0.47 % (52171)Time elapsed: 0.013 s
% 0.87/0.47 % (52171)Peak memory usage: 11 MB
% 0.87/0.47 % (52171)Instructions burned: 25 (million)
% 0.87/0.47 % (52174)Instruction limit reached!
% 0.87/0.47 % (52174)------------------------------
% 0.87/0.47 % (52174)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.47 % (52174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.47 % (52174)CaDiCaL version: 2.1.3
% 0.87/0.47 % (52174)Termination reason: Instruction limit
% 0.87/0.47 % (52174)Termination phase: Saturation
% 0.87/0.47 % (52174)Time elapsed: 0.005 s
% 0.87/0.47 % (52174)Peak memory usage: 12 MB
% 0.87/0.47 % (52174)Instructions burned: 8 (million)
% 0.87/0.47 % (52173)Instruction limit reached!
% 0.87/0.47 % (52173)------------------------------
% 0.87/0.47 % (52173)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.47 % (52173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.47 % (52173)CaDiCaL version: 2.1.3
% 0.87/0.47 % (52173)Termination reason: Instruction limit
% 0.87/0.47 % (52173)Termination phase: Saturation
% 0.87/0.47 % (52173)Time elapsed: 0.008 s
% 0.87/0.47 % (52173)Peak memory usage: 12 MB
% 0.87/0.47 % (52173)Instructions burned: 16 (million)
% 0.87/0.47 % (52172)Refutation not found, incomplete strategy
% 0.87/0.47 % (52172)------------------------------
% 0.87/0.47 % (52172)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.47 % (52172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.47 % (52172)CaDiCaL version: 2.1.3
% 0.87/0.47 % (52172)Termination reason: Refutation not found, incomplete strategy
% 0.87/0.47 % (52172)Time elapsed: 0.010 s
% 0.87/0.47 % (52172)Peak memory usage: 12 MB
% 0.87/0.47 % (52172)Instructions burned: 16 (million)
% 0.87/0.47 % (52172)------------------------------
% 0.87/0.47 % (52172)------------------------------
% 0.87/0.47 % (52176)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=95703745:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 0.87/0.47 % (52170)Refutation not found, incomplete strategy
% 0.87/0.47 % (52170)------------------------------
% 0.87/0.47 % (52170)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.87/0.47 % (52170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.87/0.47 % (52170)CaDiCaL version: 2.1.3
% 0.87/0.47 % (52170)Termination reason: Refutation not found, incomplete strategy
% 0.87/0.47 % (52170)Time elapsed: 0.006 s
% 0.87/0.47 % (52170)Peak memory usage: 12 MB
% 0.87/0.47 % (52170)Instructions burned: 10 (million)
% 0.87/0.47 % (52170)------------------------------
% 0.87/0.47 % (52170)------------------------------
% 0.87/0.47 % (52185)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=3619865031:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.87/0.47 % (52185)Instruction limit reached!
% 0.87/0.47 % (52185)------------------------------
% 0.87/0.47 % (52185)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.53 % (52185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.53 % (52185)CaDiCaL version: 2.1.3
% 1.63/0.53 % (52185)Termination reason: Instruction limit
% 1.63/0.53 % (52185)Termination phase: Saturation
% 1.63/0.53 % (52185)Time elapsed: 0.005 s
% 1.63/0.53 % (52185)Peak memory usage: 11 MB
% 1.63/0.53 % (52185)Instructions burned: 26 (million)
% 1.63/0.53 % (52184)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=3126748830:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.63/0.53 % (52176)Instruction limit reached!
% 1.63/0.53 % (52176)------------------------------
% 1.63/0.53 % (52176)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.53 % (52176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.53 % (52186)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1688339402:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.63/0.53 % (52176)CaDiCaL version: 2.1.3
% 1.63/0.53 % (52176)Termination reason: Instruction limit
% 1.63/0.53 % (52176)Termination phase: Saturation
% 1.63/0.53 % (52176)Time elapsed: 0.016 s
% 1.63/0.53 % (52176)Peak memory usage: 12 MB
% 1.63/0.53 % (52176)Instructions burned: 32 (million)
% 1.63/0.53 % (52187)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1963783250:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.63/0.53 % (52184)Instruction limit reached!
% 1.63/0.53 % (52184)------------------------------
% 1.63/0.53 % (52184)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.53 % (52184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.53 % (52184)CaDiCaL version: 2.1.3
% 1.63/0.53 % (52184)Termination reason: Instruction limit
% 1.63/0.53 % (52184)Termination phase: Saturation
% 1.63/0.53 % (52184)Time elapsed: 0.005 s
% 1.63/0.53 % (52184)Peak memory usage: 12 MB
% 1.63/0.53 % (52184)Instructions burned: 9 (million)
% 1.63/0.53 % (52190)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1273835986:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.63/0.53 % (52196)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=3087237137:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 1.63/0.53 % (52186)Instruction limit reached!
% 1.63/0.53 % (52186)------------------------------
% 1.63/0.53 % (52186)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.53 % (52186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.53 % (52186)CaDiCaL version: 2.1.3
% 1.63/0.53 % (52186)Termination reason: Instruction limit
% 1.63/0.53 % (52186)Termination phase: Saturation
% 1.63/0.53 % (52186)Time elapsed: 0.011 s
% 1.63/0.53 % (52186)Peak memory usage: 12 MB
% 1.63/0.53 % (52186)Instructions burned: 22 (million)
% 1.63/0.53 % (52196)Refutation not found, incomplete strategy
% 1.63/0.53 % (52196)------------------------------
% 1.63/0.53 % (52196)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.53 % (52196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.53 % (52196)CaDiCaL version: 2.1.3
% 1.63/0.53 % (52196)Termination reason: Refutation not found, incomplete strategy
% 1.63/0.53 % (52196)Time elapsed: 0.005 s
% 1.63/0.53 % (52196)Peak memory usage: 12 MB
% 1.63/0.53 % (52196)Instructions burned: 17 (million)
% 1.63/0.53 % (52196)------------------------------
% 1.63/0.53 % (52196)------------------------------
% 1.63/0.53 % (52187)Refutation not found, incomplete strategy
% 1.63/0.53 % (52187)------------------------------
% 1.63/0.53 % (52187)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.53 % (52187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.53 % (52187)CaDiCaL version: 2.1.3
% 1.63/0.53 % (52187)Termination reason: Refutation not found, incomplete strategy
% 1.63/0.53 % (52187)Time elapsed: 0.012 s
% 1.63/0.53 % (52187)Peak memory usage: 12 MB
% 1.63/0.53 % (52187)Instructions burned: 21 (million)
% 1.63/0.53 % (52187)------------------------------
% 1.63/0.53 % (52187)------------------------------
% 1.63/0.53 % (52200)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=129327919:i=42:hud=10:rtra=on_2998 on theBenchmark for (2998ds/42Mi)
% 1.63/0.53 % (52204)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.63/0.53 % (52204)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1318331682:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2998 on theBenchmark for (2998ds/7Mi)
% 1.63/0.53 % (52211)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=443278569: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)
% 1.63/0.53 % (52204)Instruction limit reached!
% 1.63/0.53 % (52204)------------------------------
% 1.63/0.53 % (52204)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.53 % (52204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.53 % (52204)CaDiCaL version: 2.1.3
% 1.63/0.53 % (52204)Termination reason: Instruction limit
% 1.63/0.53 % (52204)Termination phase: Saturation
% 1.63/0.53 % (52204)Time elapsed: 0.004 s
% 1.63/0.53 % (52204)Peak memory usage: 12 MB
% 1.63/0.53 % (52204)Instructions burned: 8 (million)
% 1.63/0.53 % (52213)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 1.63/0.53 % (52210)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=3436276493:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/181Mi)
% 1.63/0.53 % (52213)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=3073236084:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2998 on theBenchmark for (2998ds/6Mi)
% 1.63/0.53 % (52213)Instruction limit reached!
% 1.63/0.53 % (52213)------------------------------
% 1.63/0.53 % (52213)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.53 % (52213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.53 % (52213)CaDiCaL version: 2.1.3
% 1.63/0.53 % (52213)Termination reason: Instruction limit
% 1.63/0.53 % (52213)Termination phase: Saturation
% 1.63/0.53 % (52213)Time elapsed: 0.004 s
% 1.63/0.53 % (52213)Peak memory usage: 12 MB
% 1.63/0.53 % (52213)Instructions burned: 7 (million)
% 1.63/0.53 % (52200)Instruction limit reached!
% 1.63/0.53 % (52200)------------------------------
% 1.63/0.53 % (52200)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.53 % (52200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.53 % (52200)CaDiCaL version: 2.1.3
% 1.63/0.53 % (52200)Termination reason: Instruction limit
% 1.63/0.53 % (52200)Termination phase: Saturation
% 1.63/0.53 % (52200)Time elapsed: 0.022 s
% 1.63/0.53 % (52200)Peak memory usage: 12 MB
% 1.63/0.53 % (52200)Instructions burned: 44 (million)
% 1.63/0.53 % (52222)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=3632133688:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2998 on theBenchmark for (2998ds/22Mi)
% 1.63/0.53 % (52228)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1129163990:i=19:add=on:rtra=on_2998 on theBenchmark for (2998ds/19Mi)
% 1.63/0.53 % (52222)Instruction limit reached!
% 1.63/0.53 % (52222)------------------------------
% 1.63/0.53 % (52222)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.53 % (52222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.53 % (52222)CaDiCaL version: 2.1.3
% 1.63/0.53 % (52222)Termination reason: Instruction limit
% 1.63/0.53 % (52222)Termination phase: Saturation
% 1.63/0.53 % (52222)Time elapsed: 0.012 s
% 1.63/0.53 % (52222)Peak memory usage: 12 MB
% 1.63/0.53 % (52222)Instructions burned: 22 (million)
% 1.63/0.53 % (52231)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=967218702:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/316Mi)
% 1.63/0.53 % (52211)Instruction limit reached!
% 1.63/0.53 % (52211)------------------------------
% 1.63/0.53 % (52211)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.53 % (52211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.53 % (52211)CaDiCaL version: 2.1.3
% 1.63/0.53 % (52211)Termination reason: Instruction limit
% 1.63/0.53 % (52211)Termination phase: Saturation
% 1.63/0.53 % (52211)Time elapsed: 0.037 s
% 1.63/0.53 % (52211)Peak memory usage: 12 MB
% 1.63/0.53 % (52211)Instructions burned: 173 (million)
% 1.63/0.53 % (52228)Instruction limit reached!
% 1.63/0.53 % (52228)------------------------------
% 1.63/0.53 % (52228)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.53 % (52228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.53 % (52228)CaDiCaL version: 2.1.3
% 1.63/0.53 % (52228)Termination reason: Instruction limit
% 1.63/0.53 % (52228)Termination phase: Saturation
% 1.63/0.53 % (52228)Time elapsed: 0.011 s
% 1.63/0.53 % (52228)Peak memory usage: 12 MB
% 1.63/0.53 % (52228)Instructions burned: 19 (million)
% 1.63/0.53 % (52247)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=4207246153: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)
% 1.63/0.53 % (52243)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=3249585443: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)
% 1.63/0.53 % (52190)Instruction limit reached!
% 1.63/0.53 % (52190)------------------------------
% 1.63/0.53 % (52190)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.53 % (52190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.53 % (52190)CaDiCaL version: 2.1.3
% 1.63/0.53 % (52190)Termination reason: Instruction limit
% 1.63/0.53 % (52190)Termination phase: Saturation
% 1.63/0.53 % (52190)Time elapsed: 0.074 s
% 1.63/0.53 % (52190)Peak memory usage: 13 MB
% 1.63/0.53 % (52190)Instructions burned: 143 (million)
% 1.63/0.53 % (52250)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=428552169:i=480:rtra=on_2997 on theBenchmark for (2997ds/480Mi)
% 1.63/0.53 % (52247)Instruction limit reached!
% 1.63/0.53 % (52247)------------------------------
% 1.63/0.53 % (52247)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.53 % (52247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.53 % (52247)CaDiCaL version: 2.1.3
% 1.63/0.53 % (52247)Termination reason: Instruction limit
% 1.63/0.53 % (52247)Termination phase: Saturation
% 1.63/0.53 % (52247)Time elapsed: 0.015 s
% 1.63/0.53 % (52247)Peak memory usage: 12 MB
% 1.63/0.53 % (52247)Instructions burned: 46 (million)
% 1.63/0.53 % (52259)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 1.63/0.53 % (52259)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=296542335:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/200Mi)
% 1.63/0.53 % (52255)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=459125463: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)
% 1.63/0.53 % (52250)Refutation not found, incomplete strategy
% 1.63/0.53 % (52250)------------------------------
% 1.63/0.53 % (52250)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.53 % (52250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.53 % (52250)CaDiCaL version: 2.1.3
% 1.63/0.53 % (52250)Termination reason: Refutation not found, incomplete strategy
% 1.63/0.53 % (52250)Time elapsed: 0.015 s
% 1.63/0.53 % (52250)Peak memory usage: 12 MB
% 1.63/0.53 % (52250)Instructions burned: 25 (million)
% 1.63/0.53 % (52250)------------------------------
% 1.63/0.53 % (52250)------------------------------
% 1.63/0.53 % (52255)Instruction limit reached!
% 1.63/0.53 % (52255)------------------------------
% 1.63/0.53 % (52255)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.53 % (52255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.53 % (52255)CaDiCaL version: 2.1.3
% 1.63/0.53 % (52255)Termination reason: Instruction limit
% 1.63/0.53 % (52255)Termination phase: Saturation
% 1.63/0.53 % (52255)Time elapsed: 0.011 s
% 1.63/0.53 % (52255)Peak memory usage: 12 MB
% 1.63/0.53 % (52255)Instructions burned: 22 (million)
% 1.63/0.53 % (52259) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-52118-52259"...
% 1.63/0.53 % (52259)...printing done.
% 1.63/0.53 % (52259)Refutation found. Thanks to Tanya!
% 1.63/0.53 % SZS status Theorem for theBenchmark
% 1.63/0.53 % SZS output start Proof for theBenchmark
% 1.63/0.53 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 1.63/0.53 thf(func_def_0, type, cHALF: ($i > $i > $o)).
% 1.63/0.53 thf(func_def_1, type, cDOUBLE: ($i > $i > $o)).
% 1.63/0.53 thf(func_def_2, type, cS: ($i > $i)).
% 1.63/0.53 thf(func_def_9, type, sK2: (($i > $i > $o) > $i)).
% 1.63/0.53 thf(func_def_10, type, sK3: (($i > $i > $o) > $i)).
% 1.63/0.53 thf(func_def_11, type, db0: !>[X0: $tType]:(X0)).
% 1.63/0.53 thf(func_def_12, type, db1: !>[X0: $tType]:(X0)).
% 1.63/0.53 thf(func_def_13, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 1.63/0.53 thf(func_def_14, type, db2: !>[X0: $tType]:(X0)).
% 1.63/0.53 thf(func_def_15, type, sK4: (($i > $i > $o) > ($i > $i > $i) > $i)).
% 1.63/0.53 thf(func_def_16, type, sK5: (($i > $i > $i) > ($i > $i > $i) > $i)).
% 1.63/0.53 thf(f1,conjecture,(
% 1.63/0.53 (! [X3 : $i,X4 : $i] : ((cHALF @ X3 @ X4) => (cHALF @ (cS @ (cS @ X3)) @ (cS @ X4))) & ! [X2 : $i,X0 : ($i > $i > $o),X1 : $i] : (((X0 @ c0 @ c0) & ! [X4 : $i,X3 : $i] : ((X0 @ X3 @ X4) => (X0 @ (cS @ X3) @ (cS @ (cS @ X4)))) & (cDOUBLE @ X1 @ X2)) => (X0 @ X1 @ X2)) & (cHALF @ c0 @ (cS @ c0)) & (cHALF @ c0 @ c0)) => ! [X1 : $i,X2 : $i] : ((cDOUBLE @ X1 @ X2) => (cHALF @ X2 @ X1))),
% 1.63/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cDOUBLE_TO_HALF_6)).
% 1.63/0.53 thf(f2,negated_conjecture,(
% 1.63/0.53 ~((! [X3 : $i,X4 : $i] : ((cHALF @ X3 @ X4) => (cHALF @ (cS @ (cS @ X3)) @ (cS @ X4))) & ! [X2 : $i,X0 : ($i > $i > $o),X1 : $i] : (((X0 @ c0 @ c0) & ! [X4 : $i,X3 : $i] : ((X0 @ X3 @ X4) => (X0 @ (cS @ X3) @ (cS @ (cS @ X4)))) & (cDOUBLE @ X1 @ X2)) => (X0 @ X1 @ X2)) & (cHALF @ c0 @ (cS @ c0)) & (cHALF @ c0 @ c0)) => ! [X1 : $i,X2 : $i] : ((cDOUBLE @ X1 @ X2) => (cHALF @ X2 @ X1)))),
% 1.63/0.53 inference(negated_conjecture,[status(cth)],[f1])).
% 1.63/0.53 thf(f3,plain,(
% 1.63/0.53 ~((! [X0 : $i,X1 : $i] : ((cHALF @ X0 @ X1) => (cHALF @ (cS @ (cS @ X0)) @ (cS @ X1))) & ! [X2 : $i,X3 : ($i > $i > $o),X4 : $i] : (((X3 @ c0 @ c0) & ! [X5 : $i,X6 : $i] : ((X3 @ X6 @ X5) => (X3 @ (cS @ X6) @ (cS @ (cS @ X5)))) & (cDOUBLE @ X4 @ X2)) => (X3 @ X4 @ X2)) & (cHALF @ c0 @ (cS @ c0)) & (cHALF @ c0 @ c0)) => ! [X7 : $i,X8 : $i] : ((cDOUBLE @ X7 @ X8) => (cHALF @ X8 @ X7)))),
% 1.63/0.53 inference(rectify,[],[f2])).
% 1.63/0.53 thf(f4,plain,(
% 1.63/0.53 ~((! [X3 : ($i > $i > $o),X4 : $i,X2 : $i] : (((((cDOUBLE @ X4 @ X2)) = $true) & ! [X5 : $i,X6 : $i] : ((((X3 @ X6 @ X5)) = $true) => ($true = ((X3 @ (cS @ X6) @ (cS @ (cS @ X5)))))) & ($true = ((X3 @ c0 @ c0)))) => (((X3 @ X4 @ X2)) = $true)) & (((cHALF @ c0 @ c0)) = $true) & ! [X0 : $i,X1 : $i] : (($true = ((cHALF @ X0 @ X1))) => ($true = ((cHALF @ (cS @ (cS @ X0)) @ (cS @ X1))))) & (((cHALF @ c0 @ (cS @ c0))) = $true)) => ! [X8 : $i,X7 : $i] : ((((cDOUBLE @ X7 @ X8)) = $true) => ($true = ((cHALF @ X8 @ X7)))))),
% 1.63/0.53 inference(fool_elimination,[],[f3])).
% 1.63/0.53 thf(f5,plain,(
% 1.63/0.53 ? [X8 : $i,X7 : $i] : (($true != ((cHALF @ X8 @ X7))) & (((cDOUBLE @ X7 @ X8)) = $true)) & (! [X3 : ($i > $i > $o),X4 : $i,X2 : $i] : ((((X3 @ X4 @ X2)) = $true) | ((((cDOUBLE @ X4 @ X2)) != $true) | ? [X5 : $i,X6 : $i] : (($true != ((X3 @ (cS @ X6) @ (cS @ (cS @ X5))))) & (((X3 @ X6 @ X5)) = $true)) | ($true != ((X3 @ c0 @ c0))))) & (((cHALF @ c0 @ c0)) = $true) & ! [X1 : $i,X0 : $i] : (($true = ((cHALF @ (cS @ (cS @ X0)) @ (cS @ X1)))) | ($true != ((cHALF @ X0 @ X1)))) & (((cHALF @ c0 @ (cS @ c0))) = $true))),
% 1.63/0.53 inference(ennf_transformation,[],[f4])).
% 1.63/0.53 thf(f6,plain,(
% 1.63/0.53 ? [X8 : $i,X7 : $i] : (($true != ((cHALF @ X8 @ X7))) & (((cDOUBLE @ X7 @ X8)) = $true)) & ! [X1 : $i,X0 : $i] : (($true = ((cHALF @ (cS @ (cS @ X0)) @ (cS @ X1)))) | ($true != ((cHALF @ X0 @ X1)))) & (((cHALF @ c0 @ c0)) = $true) & (((cHALF @ c0 @ (cS @ c0))) = $true) & ! [X3 : ($i > $i > $o),X4 : $i,X2 : $i] : ((((cDOUBLE @ X4 @ X2)) != $true) | (((X3 @ X4 @ X2)) = $true) | ($true != ((X3 @ c0 @ c0))) | ? [X5 : $i,X6 : $i] : (($true != ((X3 @ (cS @ X6) @ (cS @ (cS @ X5))))) & (((X3 @ X6 @ X5)) = $true)))),
% 1.63/0.53 inference(flattening,[],[f5])).
% 1.63/0.53 thf(f7,plain,(
% 1.63/0.53 ? [X0 : $i,X1 : $i] : (($true != ((cHALF @ X0 @ X1))) & (((cDOUBLE @ X1 @ X0)) = $true)) & ! [X2 : $i,X3 : $i] : (($true = ((cHALF @ (cS @ (cS @ X3)) @ (cS @ X2)))) | ($true != ((cHALF @ X3 @ X2)))) & (((cHALF @ c0 @ c0)) = $true) & (((cHALF @ c0 @ (cS @ c0))) = $true) & ! [X4 : ($i > $i > $o),X5 : $i,X6 : $i] : (($true != ((cDOUBLE @ X5 @ X6))) | ($true = ((X4 @ X5 @ X6))) | ($true != ((X4 @ c0 @ c0))) | ? [X7 : $i,X8 : $i] : (($true != ((X4 @ (cS @ X8) @ (cS @ (cS @ X7))))) & ($true = ((X4 @ X8 @ X7)))))),
% 1.63/0.53 inference(rectify,[],[f6])).
% 1.63/0.53 thf(f8,plain,(
% 1.63/0.53 (($true != ((cHALF @ sK0 @ sK1))) & ($true = ((cDOUBLE @ sK1 @ sK0)))) & ! [X2 : $i,X3 : $i] : (($true = ((cHALF @ (cS @ (cS @ X3)) @ (cS @ X2)))) | ($true != ((cHALF @ X3 @ X2)))) & (((cHALF @ c0 @ c0)) = $true) & (((cHALF @ c0 @ (cS @ c0))) = $true) & ! [X4 : ($i > $i > $o),X5 : $i,X6 : $i] : (($true != ((cDOUBLE @ X5 @ X6))) | ($true = ((X4 @ X5 @ X6))) | ($true != ((X4 @ c0 @ c0))) | ((((X4 @ (cS @ (sK3 @ X4)) @ (cS @ (cS @ (sK2 @ X4))))) != $true) & (((X4 @ (sK3 @ X4) @ (sK2 @ X4))) = $true)))),
% 1.63/0.53 inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,vAPP,vAPP]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X8,sK3 @ X4),skolemize(X8,sK3 @ X4)],[f7])).
% 1.63/0.53 thf(f9,plain,(
% 1.63/0.53 ( ! [X6 : $i,X4 : ($i > $i > $o),X5 : $i] : ((((X4 @ (sK3 @ X4) @ (sK2 @ X4))) = $true) | ($true != ((X4 @ c0 @ c0))) | ($true = ((X4 @ X5 @ X6))) | ($true != ((cDOUBLE @ X5 @ X6)))) )),
% 1.63/0.53 inference(cnf_transformation,[],[f8])).
% 1.63/0.53 thf(f10,plain,(
% 1.63/0.53 ( ! [X6 : $i,X4 : ($i > $i > $o),X5 : $i] : ((((X4 @ (cS @ (sK3 @ X4)) @ (cS @ (cS @ (sK2 @ X4))))) != $true) | ($true != ((X4 @ c0 @ c0))) | ($true != ((cDOUBLE @ X5 @ X6))) | ($true = ((X4 @ X5 @ X6)))) )),
% 1.63/0.53 inference(cnf_transformation,[],[f8])).
% 1.63/0.53 thf(f12,plain,(
% 1.63/0.53 (((cHALF @ c0 @ c0)) = $true)),
% 1.63/0.53 inference(cnf_transformation,[],[f8])).
% 1.63/0.53 thf(f13,plain,(
% 1.63/0.53 ( ! [X2 : $i,X3 : $i] : (($true = ((cHALF @ (cS @ (cS @ X3)) @ (cS @ X2)))) | ($true != ((cHALF @ X3 @ X2)))) )),
% 1.63/0.53 inference(cnf_transformation,[],[f8])).
% 1.63/0.53 thf(f14,plain,(
% 1.63/0.53 ($true = ((cDOUBLE @ sK1 @ sK0)))),
% 1.63/0.53 inference(cnf_transformation,[],[f8])).
% 1.63/0.53 thf(f15,plain,(
% 1.63/0.53 ($true != ((cHALF @ sK0 @ sK1)))),
% 1.63/0.53 inference(cnf_transformation,[],[f8])).
% 1.63/0.53 thf(f29,plain,(
% 1.63/0.53 ( ! [X2 : $i,X3 : $i,X0 : ($i > $i > $i),X1 : $i,X4 : $i] : ((((cS @ (cS @ X1))) != ((X0 @ (cS @ (sK3 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ (X0 @ Y0 @ Y1) @ Y0)))))) @ (cS @ (cS @ (sK2 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ (X0 @ Y0 @ Y1) @ Y0)))))))))) | ($true = (((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ (X0 @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))) @ X3 @ X4))) | ($true != ((cHALF @ X1 @ X2))) | ($true != $true) | (((sK3 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ (X0 @ Y0 @ Y1) @ Y0)))))) != X2) | ($true != (((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ (X0 @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))) @ c0 @ c0))) | (((cDOUBLE @ X3 @ X4)) != $true)) )),
% 1.63/0.53 inference(constrained_superposition,[],[f10,f13])).
% 1.63/0.53 thf(f50,plain,(
% 1.63/0.53 ( ! [X2 : $i,X3 : $i,X0 : ($i > $i > $i),X1 : $i,X4 : $i] : (($true != ((cHALF @ X1 @ X2))) | ($true != (((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ (X0 @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))) @ c0 @ c0))) | (((sK3 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ (X0 @ Y0 @ Y1) @ Y0)))))) != X2) | (((cDOUBLE @ X3 @ X4)) != $true) | (((cS @ (cS @ X1))) != ((X0 @ (cS @ (sK3 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ (X0 @ Y0 @ Y1) @ Y0)))))) @ (cS @ (cS @ (sK2 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ (X0 @ Y0 @ Y1) @ Y0)))))))))) | ($true = (((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ (X0 @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))) @ X3 @ X4)))) )),
% 1.63/0.53 inference(trivial_inequality_removal,[],[f29])).
% 1.63/0.53 thf(f51,plain,(
% 1.63/0.53 ( ! [X2 : $i,X3 : $i,X0 : ($i > $i > $i),X1 : $i,X4 : $i] : ((((cS @ (cS @ X1))) != ((X0 @ (cS @ (sK3 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ (X0 @ Y0 @ Y1) @ Y0)))))) @ (cS @ (cS @ (sK2 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ (X0 @ Y0 @ Y1) @ Y0)))))))))) | ($true = ((cHALF @ (X0 @ X3 @ X4) @ X3))) | ($true != ((cHALF @ (X0 @ c0 @ c0) @ c0))) | (((cDOUBLE @ X3 @ X4)) != $true) | (((sK3 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ (X0 @ Y0 @ Y1) @ Y0)))))) != X2) | ($true != ((cHALF @ X1 @ X2)))) )),
% 1.63/0.53 inference(beta-eta_normalization,[],[f50])).
% 1.63/0.53 thf(f124,plain,(
% 1.63/0.53 ( ! [X2 : $i,X3 : ($i > $i > $o),X0 : $i,X1 : $i] : ((((cHALF @ ((^[Y0 : $i]: ((^[Y1 : $i]: (Y1)))) @ c0 @ c0) @ c0)) != $true) | (((sK3 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y3)))) @ Y0 @ Y1) @ Y0)))))) != X2) | ((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0)))) != X3) | (((cHALF @ ((^[Y0 : $i]: ((^[Y1 : $i]: (Y1)))) @ X0 @ X1) @ X0)) = $true) | ($true != ((cHALF @ (sK2 @ X3) @ X2))) | ($true != ((cDOUBLE @ X0 @ X1)))) )),
% 1.63/0.53 inference(equality_resolution,[],[f51])).
% 1.63/0.53 thf(f130,plain,(
% 1.63/0.53 ( ! [X2 : $i,X3 : ($i > $i > $o),X0 : $i,X1 : $i] : ((((sK3 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0)))))) != X2) | (((cHALF @ c0 @ c0)) != $true) | ($true = ((cHALF @ X1 @ X0))) | ($true != ((cHALF @ (sK2 @ X3) @ X2))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0)))) != X3) | ($true != ((cDOUBLE @ X0 @ X1)))) )),
% 1.63/0.53 inference(beta-eta_normalization,[],[f124])).
% 1.63/0.53 thf(f132,plain,(
% 1.63/0.53 ( ! [X2 : $i,X3 : ($i > $i > $o),X0 : $i,X1 : $i] : (($true != ((cDOUBLE @ X0 @ X1))) | ($true = ((cHALF @ X1 @ X0))) | ($true != $true) | ($true != ((cHALF @ (sK2 @ X3) @ X2))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0)))) != X3) | (((sK3 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0)))))) != X2)) )),
% 1.63/0.53 inference(forward_demodulation,[],[f130,f12])).
% 1.63/0.53 thf(f133,plain,(
% 1.63/0.53 ( ! [X2 : $i,X3 : ($i > $i > $o),X0 : $i,X1 : $i] : ((((sK3 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0)))))) != X2) | ($true = ((cHALF @ X1 @ X0))) | ($true != ((cDOUBLE @ X0 @ X1))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0)))) != X3) | ($true != ((cHALF @ (sK2 @ X3) @ X2)))) )),
% 1.63/0.53 inference(trivial_inequality_removal,[],[f132])).
% 1.63/0.53 thf(f134,plain,(
% 1.63/0.53 ( ! [X2 : ($i > $i > $o),X0 : $i,X1 : $i] : ((((cHALF @ (sK2 @ X2) @ (sK3 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0))))))) != $true) | (((cDOUBLE @ X1 @ X0)) != $true) | ((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0)))) != X2) | ($true = ((cHALF @ X0 @ X1)))) )),
% 1.63/0.53 inference(equality_resolution,[],[f133])).
% 1.63/0.53 thf(f145,plain,(
% 1.63/0.53 ( ! [X2 : $i,X3 : $i,X0 : ($i > $i > $o),X1 : ($i > $i > $i),X4 : $i,X5 : $i] : ((((sK2 @ X0)) != ((X1 @ (sK3 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ (X1 @ Y0 @ Y1) @ Y0))))) @ (sK2 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ (X1 @ Y0 @ Y1) @ Y0)))))))) | (((cDOUBLE @ X4 @ X5)) != $true) | ((((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ (X1 @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))) @ X4 @ X5)) = $true) | ($true != $true) | ((^[Y0 : $i]: ((^[Y1 : $i]: (Y1)))) != X1) | ($true = ((cHALF @ X3 @ X2))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0)))) != X0) | ($true != ((cDOUBLE @ X2 @ X3))) | ((((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ (X1 @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))) @ c0 @ c0)) != $true)) )),
% 1.63/0.53 inference(constrained_superposition,[],[f134,f9])).
% 1.63/0.53 thf(f148,plain,(
% 1.63/0.53 ( ! [X2 : $i,X3 : $i,X0 : ($i > $i > $o),X1 : ($i > $i > $i),X4 : $i,X5 : $i] : ((((sK2 @ X0)) != ((X1 @ (sK3 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ (X1 @ Y0 @ Y1) @ Y0))))) @ (sK2 @ (^[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 : $i]: (cHALF @ Y1 @ Y0)))) != X0) | ($true != ((cDOUBLE @ X2 @ X3))) | (((cDOUBLE @ X4 @ X5)) != $true) | ((((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ (X1 @ Y0 @ Y1) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (Y2)))) @ Y0 @ Y1))))) @ X4 @ X5)) = $true) | ($true = ((cHALF @ X3 @ X2))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (Y1)))) != X1)) )),
% 1.63/0.53 inference(trivial_inequality_removal,[],[f145])).
% 1.63/0.53 thf(f149,plain,(
% 1.63/0.53 ( ! [X2 : $i,X3 : $i,X0 : ($i > $i > $o),X1 : ($i > $i > $i),X4 : $i,X5 : $i] : ((((sK2 @ X0)) != ((X1 @ (sK3 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ (X1 @ Y0 @ Y1) @ Y0))))) @ (sK2 @ (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ (X1 @ Y0 @ Y1) @ Y0)))))))) | ($true != ((cHALF @ (X1 @ c0 @ c0) @ c0))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (Y1)))) != X1) | ($true = ((cHALF @ X3 @ X2))) | ($true != ((cDOUBLE @ X2 @ X3))) | ($true = ((cHALF @ (X1 @ X4 @ X5) @ X4))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0)))) != X0) | (((cDOUBLE @ X4 @ X5)) != $true)) )),
% 1.63/0.53 inference(beta-eta_normalization,[],[f148])).
% 1.63/0.53 thf(f201,plain,(
% 1.63/0.53 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : ($i > $i > $i),X5 : ($i > $i > $i)] : ((((cDOUBLE @ X1 @ X0)) != $true) | ((^[Y0 : $i]: ((^[Y1 : $i]: (Y0)))) != X5) | ((^[Y0 : $i]: ((^[Y1 : $i]: (Y1)))) != X4) | (((cHALF @ ((^[Y0 : $i]: ((^[Y1 : $i]: (Y1)))) @ c0 @ c0) @ c0)) != $true) | ($true = ((cHALF @ X0 @ X1))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0)))) != (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ (X4 @ Y0 @ Y1) @ (X5 @ Y0 @ Y1)))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (Y1)))) != (^[Y0 : $i]: ((^[Y1 : $i]: (Y1))))) | ($true = ((cHALF @ ((^[Y0 : $i]: ((^[Y1 : $i]: (Y1)))) @ X2 @ X3) @ X2))) | ($true != ((cDOUBLE @ X2 @ X3)))) )),
% 1.63/0.53 inference(equality_resolution,[],[f149])).
% 1.63/0.53 thf(f204,plain,(
% 1.63/0.53 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : ($i > $i > $i),X5 : ($i > $i > $i)] : ((((cHALF @ ((^[Y0 : $i]: ((^[Y1 : $i]: (Y1)))) @ c0 @ c0) @ c0)) != $true) | ($true = ((cHALF @ ((^[Y0 : $i]: ((^[Y1 : $i]: (Y1)))) @ X2 @ X3) @ X2))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (Y1)))) != X4) | ((^[Y0 : $i]: ((^[Y1 : $i]: (Y0)))) != X5) | ($true = ((cHALF @ X0 @ X1))) | (((cDOUBLE @ X1 @ X0)) != $true) | ((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0)))) != (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ (X4 @ Y0 @ Y1) @ (X5 @ Y0 @ Y1)))))) | ($true != ((cDOUBLE @ X2 @ X3)))) )),
% 1.63/0.53 inference(trivial_inequality_removal,[],[f201])).
% 1.63/0.53 thf(f205,plain,(
% 1.63/0.53 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : ($i > $i > $i),X5 : ($i > $i > $i)] : (($true = ((cHALF @ X0 @ X1))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0)))) != (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ (X4 @ Y0 @ Y1) @ (X5 @ Y0 @ Y1)))))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (Y1)))) != X4) | ($true != ((cDOUBLE @ X2 @ X3))) | (((cHALF @ c0 @ c0)) != $true) | ($true = ((cHALF @ X3 @ X2))) | (((cDOUBLE @ X1 @ X0)) != $true) | ((^[Y0 : $i]: ((^[Y1 : $i]: (Y0)))) != X5)) )),
% 1.63/0.53 inference(beta-eta_normalization,[],[f204])).
% 1.63/0.53 thf(f206,plain,(
% 1.63/0.53 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : ($i > $i > $i),X5 : ($i > $i > $i)] : (($true != ((cDOUBLE @ X2 @ X3))) | ($true = ((cHALF @ X3 @ X2))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (Y1)))) != X4) | ($true = ((cHALF @ X0 @ X1))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0)))) != (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ (X4 @ Y0 @ Y1) @ (X5 @ Y0 @ Y1)))))) | (((cDOUBLE @ X1 @ X0)) != $true) | ((^[Y0 : $i]: ((^[Y1 : $i]: (Y0)))) != X5) | ($true != $true)) )),
% 1.63/0.53 inference(forward_demodulation,[],[f205,f12])).
% 1.63/0.53 thf(f207,plain,(
% 1.63/0.53 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : ($i > $i > $i),X5 : ($i > $i > $i)] : (((^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ Y1 @ Y0)))) != (^[Y0 : $i]: ((^[Y1 : $i]: (cHALF @ (X4 @ Y0 @ Y1) @ (X5 @ Y0 @ Y1)))))) | ($true = ((cHALF @ X0 @ X1))) | ((^[Y0 : $i]: ((^[Y1 : $i]: (Y1)))) != X4) | ($true = ((cHALF @ X3 @ X2))) | ($true != ((cDOUBLE @ X2 @ X3))) | (((cDOUBLE @ X1 @ X0)) != $true) | ((^[Y0 : $i]: ((^[Y1 : $i]: (Y0)))) != X5)) )),
% 1.63/0.53 inference(trivial_inequality_removal,[],[f206])).
% 1.63/0.53 thf(f209,plain,(
% 1.63/0.53 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((^[Y0 : $i]: ((^[Y1 : $i]: (Y0)))) != (^[Y0 : $i]: ((^[Y1 : $i]: (Y0))))) | ($true = ((cHALF @ X2 @ X3))) | ($true != ((cDOUBLE @ X3 @ X2))) | (((cDOUBLE @ X1 @ X0)) != $true) | ((^[Y0 : $i]: ((^[Y1 : $i]: (Y1)))) != (^[Y0 : $i]: ((^[Y1 : $i]: (Y1))))) | ($true = ((cHALF @ X0 @ X1)))) )),
% 1.63/0.53 inference(equality_resolution,[],[f207])).
% 1.63/0.53 thf(f211,plain,(
% 1.63/0.53 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true = ((cHALF @ X2 @ X3))) | ($true != ((cDOUBLE @ X3 @ X2))) | ($true = ((cHALF @ X0 @ X1))) | (((cDOUBLE @ X1 @ X0)) != $true)) )),
% 1.63/0.53 inference(trivial_inequality_removal,[],[f209])).
% 1.63/0.53 thf(f223,plain,(
% 1.63/0.53 ( ! [X0 : $i,X1 : $i] : (($true != $true) | (((cDOUBLE @ X1 @ X0)) != $true) | (((cDOUBLE @ X1 @ X0)) != $true) | ($true = ((cHALF @ X0 @ X1)))) )),
% 1.63/0.53 inference(equality_factoring,[],[f211])).
% 1.63/0.53 thf(f224,plain,(
% 1.63/0.53 ( ! [X0 : $i,X1 : $i] : (($true = ((cHALF @ X0 @ X1))) | ($true != $true) | (((cDOUBLE @ X1 @ X0)) != $true)) )),
% 1.63/0.53 inference(duplicate_literal_removal,[],[f223])).
% 1.63/0.53 thf(f225,plain,(
% 1.63/0.53 ( ! [X0 : $i,X1 : $i] : (($true = ((cHALF @ X0 @ X1))) | (((cDOUBLE @ X1 @ X0)) != $true)) )),
% 1.63/0.53 inference(trivial_inequality_removal,[],[f224])).
% 1.63/0.53 thf(f249,plain,(
% 1.63/0.53 ($true != ((cDOUBLE @ sK1 @ sK0))) | ($true != $true)),
% 1.63/0.53 inference(constrained_superposition,[],[f15,f225])).
% 1.63/0.53 thf(f256,plain,(
% 1.63/0.53 ($true != ((cDOUBLE @ sK1 @ sK0)))),
% 1.63/0.53 inference(trivial_inequality_removal,[],[f249])).
% 1.63/0.53 thf(f266,plain,(
% 1.63/0.53 ($true != $true)),
% 1.63/0.53 inference(forward_demodulation,[],[f256,f14])).
% 1.63/0.53 thf(f267,plain,(
% 1.63/0.53 $false),
% 1.63/0.53 inference(trivial_inequality_removal,[],[f266])).
% 1.63/0.53 % SZS output end Proof for theBenchmark
% 1.63/0.53 % (52259)------------------------------
% 1.63/0.53 % (52259)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.53 % (52259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.53 % (52259)CaDiCaL version: 2.1.3
% 1.63/0.53 % (52259)Termination reason: Refutation
% 1.63/0.53 % (52259)Time elapsed: 0.017 s
% 1.63/0.53 % (52259)Peak memory usage: 12 MB
% 1.63/0.53 % (52259)Instructions burned: 64 (million)
% 1.63/0.53 % (52118)Success in time 0.275 s
% 1.63/0.53 % Vampire exiting
%------------------------------------------------------------------------------