%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRA028^1 : TPTP v9.3.1. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 07:50:24 AM UTC 2026
% Result : Theorem 0.96s 0.49s
% Output : Refutation 0.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRA028^1 : TPTP v9.3.1. Released v3.6.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.17 % Computer : n002.cluster.edu
% 0.11/0.17 % Model : x86_64 x86_64
% 0.11/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.17 % Memory : 8046.5625MB
% 0.11/0.17 % OS : Linux 6.8.0-71-generic
% 0.11/0.17 % CPULimit : 300
% 0.11/0.17 % WCLimit : 300
% 0.11/0.17 % DateTime : Tue Sep 29 18:41:22 UTC 2026
% 0.11/0.18 % CPUTime :
% 0.11/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.21 Running higher-order theorem proving
% 0.11/0.22 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
% 0.96/0.43 % (1689450)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.96/0.43 % (1689478)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=2777332342:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.96/0.43 % (1689484)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.96/0.43 % (1689484)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
% 0.96/0.43 % (1689479)lrs+10_16_si=on:nwc=1.5:random_seed=4277534755:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.96/0.43 % (1689480)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1063623609:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.96/0.43 % (1689482)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3053071676:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.96/0.43 % (1689481)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=858678333: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)
% 0.96/0.43 % (1689483)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=677058414:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.96/0.43 % (1689484)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=2836731986:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.96/0.43 % (1689480)Instruction limit reached!
% 0.96/0.43 % (1689480)------------------------------
% 0.96/0.43 % (1689480)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.43 % (1689480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.43 % (1689480)CaDiCaL version: 2.1.3
% 0.96/0.43 % (1689480)Termination reason: Instruction limit
% 0.96/0.43 % (1689480)Termination phase: Saturation
% 0.96/0.43 % (1689480)Time elapsed: 0.004 s
% 0.96/0.43 % (1689480)Peak memory usage: 11 MB
% 0.96/0.43 % (1689480)Instructions burned: 4 (million)
% 0.96/0.43 % (1689479)Instruction limit reached!
% 0.96/0.43 % (1689479)------------------------------
% 0.96/0.43 % (1689479)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.43 % (1689479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.43 % (1689479)CaDiCaL version: 2.1.3
% 0.96/0.43 % (1689479)Termination reason: Instruction limit
% 0.96/0.43 % (1689479)Termination phase: Saturation
% 0.96/0.43 % (1689479)Time elapsed: 0.016 s
% 0.96/0.43 % (1689479)Peak memory usage: 12 MB
% 0.96/0.43 % (1689479)Instructions burned: 18 (million)
% 0.96/0.43 % (1689478)Instruction limit reached!
% 0.96/0.43 % (1689478)------------------------------
% 0.96/0.43 % (1689478)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.43 % (1689478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.43 % (1689478)CaDiCaL version: 2.1.3
% 0.96/0.43 % (1689478)Termination reason: Instruction limit
% 0.96/0.43 % (1689478)Termination phase: Saturation
% 0.96/0.43 % (1689478)Time elapsed: 0.033 s
% 0.96/0.43 % (1689478)Peak memory usage: 12 MB
% 0.96/0.43 % (1689478)Instructions burned: 89 (million)
% 0.96/0.43 % (1689482)Instruction limit reached!
% 0.96/0.43 % (1689482)------------------------------
% 0.96/0.43 % (1689482)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.43 % (1689482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.43 % (1689482)CaDiCaL version: 2.1.3
% 0.96/0.43 % (1689482)Termination reason: Instruction limit
% 0.96/0.43 % (1689482)Termination phase: Saturation
% 0.96/0.43 % (1689482)Time elapsed: 0.020 s
% 0.96/0.43 % (1689482)Peak memory usage: 12 MB
% 0.96/0.43 % (1689482)Instructions burned: 24 (million)
% 0.96/0.43 % (1689492)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2926234304:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.96/0.43 % (1689493)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=407028164:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.96/0.49 % (1689493)Instruction limit reached!
% 0.96/0.49 % (1689493)------------------------------
% 0.96/0.49 % (1689493)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.49 % (1689493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.49 % (1689493)CaDiCaL version: 2.1.3
% 0.96/0.49 % (1689493)Termination reason: Instruction limit
% 0.96/0.49 % (1689493)Termination phase: Saturation
% 0.96/0.49 % (1689493)Time elapsed: 0.003 s
% 0.96/0.49 % (1689493)Peak memory usage: 11 MB
% 0.96/0.49 % (1689493)Instructions burned: 6 (million)
% 0.96/0.49 % (1689492)Instruction limit reached!
% 0.96/0.49 % (1689492)------------------------------
% 0.96/0.49 % (1689492)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.49 % (1689492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.49 % (1689492)CaDiCaL version: 2.1.3
% 0.96/0.49 % (1689492)Termination reason: Instruction limit
% 0.96/0.49 % (1689492)Termination phase: Saturation
% 0.96/0.49 % (1689492)Time elapsed: 0.007 s
% 0.96/0.49 % (1689492)Peak memory usage: 12 MB
% 0.96/0.49 % (1689492)Instructions burned: 2 (million)
% 0.96/0.49 % (1689494)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.96/0.49 % (1689494)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2698013575:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.96/0.49 % (1689498)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
% 0.96/0.49 % (1689498)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.96/0.49 % (1689498)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3062913965:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.96/0.49 % (1689495)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3296617463:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.96/0.49 % (1689494)Instruction limit reached!
% 0.96/0.49 % (1689494)------------------------------
% 0.96/0.49 % (1689494)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.49 % (1689494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.49 % (1689494)CaDiCaL version: 2.1.3
% 0.96/0.49 % (1689494)Termination reason: Instruction limit
% 0.96/0.49 % (1689494)Termination phase: Saturation
% 0.96/0.49 % (1689494)Time elapsed: 0.007 s
% 0.96/0.49 % (1689494)Peak memory usage: 12 MB
% 0.96/0.49 % (1689494)Instructions burned: 7 (million)
% 0.96/0.49 % (1689483)Instruction limit reached!
% 0.96/0.49 % (1689483)------------------------------
% 0.96/0.49 % (1689483)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.49 % (1689483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.49 % (1689483)CaDiCaL version: 2.1.3
% 0.96/0.49 % (1689483)Termination reason: Instruction limit
% 0.96/0.49 % (1689483)Termination phase: Saturation
% 0.96/0.49 % (1689483)Time elapsed: 0.065 s
% 0.96/0.49 % (1689483)Peak memory usage: 13 MB
% 0.96/0.49 % (1689483)Instructions burned: 75 (million)
% 0.96/0.49 % (1689498)Instruction limit reached!
% 0.96/0.49 % (1689498)------------------------------
% 0.96/0.49 % (1689498)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.49 % (1689498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.49 % (1689498)CaDiCaL version: 2.1.3
% 0.96/0.49 % (1689498)Termination reason: Instruction limit
% 0.96/0.49 % (1689498)Termination phase: Saturation
% 0.96/0.49 % (1689498)Time elapsed: 0.013 s
% 0.96/0.49 % (1689498)Peak memory usage: 12 MB
% 0.96/0.49 % (1689498)Instructions burned: 30 (million)
% 0.96/0.49 % (1689499)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=4281580016:i=86:piset=equals:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/86Mi)
% 0.96/0.49 % (1689495)Instruction limit reached!
% 0.96/0.49 % (1689495)------------------------------
% 0.96/0.49 % (1689495)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.49 % (1689495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.49 % (1689495)CaDiCaL version: 2.1.3
% 0.96/0.49 % (1689495)Termination reason: Instruction limit
% 0.96/0.49 % (1689495)Termination phase: Saturation
% 0.96/0.49 % (1689495)Time elapsed: 0.028 s
% 0.96/0.49 % (1689495)Peak memory usage: 12 MB
% 0.96/0.49 % (1689495)Instructions burned: 13 (million)
% 0.96/0.49 % (1689505)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1802895124:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 0.96/0.49 % (1689503)lrs+10_1_si=on:cs=on:random_seed=4107102728:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 0.96/0.49 % (1689504)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.96/0.49 % (1689504)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=2572571661:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.96/0.49 % (1689503)Instruction limit reached!
% 0.96/0.49 % (1689503)------------------------------
% 0.96/0.49 % (1689503)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.49 % (1689503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.49 % (1689503)CaDiCaL version: 2.1.3
% 0.96/0.49 % (1689503)Termination reason: Instruction limit
% 0.96/0.49 % (1689503)Termination phase: Saturation
% 0.96/0.49 % (1689503)Time elapsed: 0.008 s
% 0.96/0.49 % (1689503)Peak memory usage: 12 MB
% 0.96/0.49 % (1689503)Instructions burned: 8 (million)
% 0.96/0.49 % (1689504)Instruction limit reached!
% 0.96/0.49 % (1689504)------------------------------
% 0.96/0.49 % (1689504)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.49 % (1689504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.49 % (1689504)CaDiCaL version: 2.1.3
% 0.96/0.49 % (1689504)Termination reason: Instruction limit
% 0.96/0.49 % (1689504)Termination phase: Saturation
% 0.96/0.49 % (1689504)Time elapsed: 0.002 s
% 0.96/0.49 % (1689504)Peak memory usage: 11 MB
% 0.96/0.49 % (1689504)Instructions burned: 2 (million)
% 0.96/0.49 % (1689505)Instruction limit reached!
% 0.96/0.49 % (1689505)------------------------------
% 0.96/0.49 % (1689505)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.49 % (1689505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.49 % (1689505)CaDiCaL version: 2.1.3
% 0.96/0.49 % (1689505)Termination reason: Instruction limit
% 0.96/0.49 % (1689505)Termination phase: Saturation
% 0.96/0.49 % (1689505)Time elapsed: 0.018 s
% 0.96/0.49 % (1689505)Peak memory usage: 12 MB
% 0.96/0.49 % (1689505)Instructions burned: 39 (million)
% 0.96/0.49 % (1689508)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3221387363:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.96/0.49 % (1689484)Instruction limit reached!
% 0.96/0.49 % (1689484)------------------------------
% 0.96/0.49 % (1689484)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.49 % (1689484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.49 % (1689484)CaDiCaL version: 2.1.3
% 0.96/0.49 % (1689484)Termination reason: Instruction limit
% 0.96/0.49 % (1689484)Termination phase: Saturation
% 0.96/0.49 % (1689484)Time elapsed: 0.121 s
% 0.96/0.49 % (1689484)Peak memory usage: 12 MB
% 0.96/0.49 % (1689484)Instructions burned: 158 (million)
% 0.96/0.49 % (1689514)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1600933057:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.96/0.49 % (1689512)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2321160232:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.96/0.49 % (1689513)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2385486445:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.96/0.49 % (1689499)Instruction limit reached!
% 0.96/0.49 % (1689499)------------------------------
% 0.96/0.49 % (1689499)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.49 % (1689499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.49 % (1689499)CaDiCaL version: 2.1.3
% 0.96/0.49 % (1689499)Termination reason: Instruction limit
% 0.96/0.49 % (1689499)Termination phase: Saturation
% 0.96/0.49 % (1689499)Time elapsed: 0.068 s
% 0.96/0.49 % (1689499)Peak memory usage: 12 MB
% 0.96/0.49 % (1689499)Instructions burned: 87 (million)
% 0.96/0.49 % (1689513)Instruction limit reached!
% 0.96/0.49 % (1689513)------------------------------
% 0.96/0.49 % (1689513)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.49 % (1689513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.49 % (1689513)CaDiCaL version: 2.1.3
% 0.96/0.49 % (1689513)Termination reason: Instruction limit
% 0.96/0.49 % (1689513)Termination phase: Saturation
% 0.96/0.49 % (1689513)Time elapsed: 0.016 s
% 0.96/0.49 % (1689513)Peak memory usage: 12 MB
% 0.96/0.49 % (1689513)Instructions burned: 18 (million)
% 0.96/0.49 % (1689512)Instruction limit reached!
% 0.96/0.49 % (1689512)------------------------------
% 0.96/0.49 % (1689512)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.49 % (1689512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.49 % (1689512)CaDiCaL version: 2.1.3
% 0.96/0.49 % (1689512)Termination reason: Instruction limit
% 0.96/0.49 % (1689512)Termination phase: Saturation
% 0.96/0.49 % (1689512)Time elapsed: 0.019 s
% 0.96/0.49 % (1689512)Peak memory usage: 12 MB
% 0.96/0.49 % (1689512)Instructions burned: 25 (million)
% 0.96/0.49 % (1689517)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=10088497:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.96/0.49 % (1689517)Instruction limit reached!
% 0.96/0.49 % (1689517)------------------------------
% 0.96/0.49 % (1689517)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.49 % (1689517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.49 % (1689517)CaDiCaL version: 2.1.3
% 0.96/0.49 % (1689517)Termination reason: Instruction limit
% 0.96/0.49 % (1689517)Termination phase: Saturation
% 0.96/0.49 % (1689517)Time elapsed: 0.013 s
% 0.96/0.49 % (1689517)Peak memory usage: 12 MB
% 0.96/0.49 % (1689517)Instructions burned: 14 (million)
% 0.96/0.49 % (1689520)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2370433995:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2997 on theBenchmark for (2997ds/2Mi)
% 0.96/0.49 % (1689520)Instruction limit reached!
% 0.96/0.49 % (1689520)------------------------------
% 0.96/0.49 % (1689520)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.49 % (1689520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.49 % (1689520)CaDiCaL version: 2.1.3
% 0.96/0.49 % (1689520)Termination reason: Instruction limit
% 0.96/0.49 % (1689520)Termination phase: Saturation
% 0.96/0.49 % (1689520)Time elapsed: 0.003 s
% 0.96/0.49 % (1689521)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1656276431:i=26:ep=R:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/26Mi)
% 0.96/0.49 % (1689520)Peak memory usage: 11 MB
% 0.96/0.49 % (1689520)Instructions burned: 2 (million)
% 0.96/0.49 % (1689522)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=2779421163:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 0.96/0.49 % (1689514) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1689450-1689514"...
% 0.96/0.49 % (1689514)...printing done.
% 0.96/0.49 % (1689514)Refutation found. Thanks to Tanya!
% 0.96/0.49 % SZS status Theorem for theBenchmark
% 0.96/0.49 % SZS output start Proof for theBenchmark
% 0.96/0.49 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.96/0.49 thf(func_def_3, type, sK0: (($o > $o) > ($o > $o) > $o)).
% 0.96/0.49 thf(func_def_4, type, vNOT: ($o > $o)).
% 0.96/0.49 thf(func_def_5, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.96/0.49 thf(func_def_6, type, db0: !>[X0: $tType]:(X0)).
% 0.96/0.49 thf(func_def_7, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.96/0.49 thf(func_def_9, type, sK2: ($o > $o)).
% 0.96/0.49 thf(f1,conjecture,(
% 0.96/0.49 ! [X0 : (($o > $o) > ($o > $o) > $o)] : (! [X1 : ($o > $o),X2 : ($o > $o)] : ((X0 @ X1 @ X2) => (X0 @ X2 @ X1)) => (? [X3 : ($o > $o),X4 : ($o > $o),X5 : (($o > $o) > $o)] : (~(X5 @ X4) & (X0 @ X4 @ X3) & (X5 @ X3)) | ? [X6 : ($o > $o),X9 : (($o > $o) > $o),X8 : (($o > $o) > $o),X3 : ($o > $o),X4 : ($o > $o),X5 : (($o > $o) > $o),X7 : ($o > $o)] : (~(X9 @ X7) & ~(X5 @ X4) & (X9 @ X6) & ~(X5 @ X7) & (X5 @ X3) & (X8 @ X4) & ~(X0 @ X6 @ X4) & ~(X8 @ X7) & ~(X0 @ X4 @ X3) & ~(X9 @ X4) & ~(X0 @ X7 @ X4) & ~(X0 @ X6 @ X3) & ~(X0 @ X7 @ X3) & ~(X0 @ X7 @ X6) & ~(X8 @ X3) & ~(X8 @ X6) & ~(X5 @ X6) & ~(X9 @ X3))))),
% 0.96/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ramsey_u_2_4_4)).
% 0.96/0.49 thf(f2,negated_conjecture,(
% 0.96/0.49 ~ ! [X0 : (($o > $o) > ($o > $o) > $o)] : (! [X1 : ($o > $o),X2 : ($o > $o)] : ((X0 @ X1 @ X2) => (X0 @ X2 @ X1)) => (? [X3 : ($o > $o),X4 : ($o > $o),X5 : (($o > $o) > $o)] : (~(X5 @ X4) & (X0 @ X4 @ X3) & (X5 @ X3)) | ? [X6 : ($o > $o),X9 : (($o > $o) > $o),X8 : (($o > $o) > $o),X3 : ($o > $o),X4 : ($o > $o),X5 : (($o > $o) > $o),X7 : ($o > $o)] : (~(X9 @ X7) & ~(X5 @ X4) & (X9 @ X6) & ~(X5 @ X7) & (X5 @ X3) & (X8 @ X4) & ~(X0 @ X6 @ X4) & ~(X8 @ X7) & ~(X0 @ X4 @ X3) & ~(X9 @ X4) & ~(X0 @ X7 @ X4) & ~(X0 @ X6 @ X3) & ~(X0 @ X7 @ X3) & ~(X0 @ X7 @ X6) & ~(X8 @ X3) & ~(X8 @ X6) & ~(X5 @ X6) & ~(X9 @ X3))))),
% 0.96/0.49 inference(negated_conjecture,[status(cth)],[f1])).
% 0.96/0.49 thf(f3,plain,(
% 0.96/0.49 ~ ! [X0 : (($o > $o) > ($o > $o) > $o)] : (! [X1 : ($o > $o),X2 : ($o > $o)] : ((X0 @ X1 @ X2) => (X0 @ X2 @ X1)) => (? [X3 : ($o > $o),X4 : ($o > $o),X5 : (($o > $o) > $o)] : (~(X5 @ X4) & (X0 @ X4 @ X3) & (X5 @ X3)) | ? [X6 : ($o > $o),X7 : (($o > $o) > $o),X8 : (($o > $o) > $o),X9 : ($o > $o),X10 : ($o > $o),X11 : (($o > $o) > $o),X12 : ($o > $o)] : (~(X7 @ X12) & ~(X11 @ X10) & (X7 @ X6) & ~(X11 @ X12) & (X11 @ X9) & (X8 @ X10) & ~(X0 @ X6 @ X10) & ~(X8 @ X12) & ~(X0 @ X10 @ X9) & ~(X7 @ X10) & ~(X0 @ X12 @ X10) & ~(X0 @ X6 @ X9) & ~(X0 @ X12 @ X9) & ~(X0 @ X12 @ X6) & ~(X8 @ X9) & ~(X8 @ X6) & ~(X11 @ X6) & ~(X7 @ X9))))),
% 0.96/0.49 inference(rectify,[],[f2])).
% 0.96/0.49 thf(f4,plain,(
% 0.96/0.49 ~ ! [X0 : (($o > $o) > ($o > $o) > $o)] : (! [X2 : ($o > $o),X1 : ($o > $o)] : ((((X0 @ X1 @ X2)) = $true) => (((X0 @ X2 @ X1)) = $true)) => (? [X3 : ($o > $o),X4 : ($o > $o),X5 : (($o > $o) > $o)] : (~ (((X5 @ X4)) = $true) & (((X0 @ X4 @ X3)) = $true) & (((X5 @ X3)) = $true)) | ? [X6 : ($o > $o),X7 : (($o > $o) > $o),X8 : (($o > $o) > $o),X9 : ($o > $o),X10 : ($o > $o),X11 : (($o > $o) > $o),X12 : ($o > $o)] : (~ ($true = ((X7 @ X12))) & ~ ($true = ((X11 @ X10))) & (((X7 @ X6)) = $true) & ~ ($true = ((X11 @ X12))) & ($true = ((X11 @ X9))) & ($true = ((X8 @ X10))) & ~ (((X0 @ X6 @ X10)) = $true) & ~ ($true = ((X8 @ X12))) & ~ (((X0 @ X10 @ X9)) = $true) & ~ ($true = ((X7 @ X10))) & ~ (((X0 @ X12 @ X10)) = $true) & ~ ($true = ((X0 @ X6 @ X9))) & ~ (((X0 @ X12 @ X9)) = $true) & ~ (((X0 @ X12 @ X6)) = $true) & ~ ($true = ((X8 @ X9))) & ~ (((X8 @ X6)) = $true) & ~ (((X11 @ X6)) = $true) & ~ ($true = ((X7 @ X9))))))),
% 0.96/0.49 inference(fool_elimination,[],[f3])).
% 0.96/0.49 thf(f5,plain,(
% 0.96/0.49 ~ ! [X0 : (($o > $o) > ($o > $o) > $o)] : (! [X2 : ($o > $o),X1 : ($o > $o)] : ((((X0 @ X1 @ X2)) = $true) => (((X0 @ X2 @ X1)) = $true)) => (? [X4 : ($o > $o),X5 : (($o > $o) > $o),X3 : ($o > $o)] : ((((X5 @ X4)) != $true) & (((X0 @ X4 @ X3)) = $true) & (((X5 @ X3)) = $true)) | ? [X12 : ($o > $o),X6 : ($o > $o),X10 : ($o > $o),X11 : (($o > $o) > $o),X7 : (($o > $o) > $o),X9 : ($o > $o),X8 : (($o > $o) > $o)] : (($true != ((X7 @ X9))) & (((X0 @ X12 @ X9)) != $true) & (((X0 @ X10 @ X9)) != $true) & ($true = ((X8 @ X10))) & ($true = ((X11 @ X9))) & (((X0 @ X12 @ X10)) != $true) & (((X8 @ X6)) != $true) & ($true != ((X0 @ X6 @ X9))) & ($true != ((X7 @ X12))) & (((X7 @ X6)) = $true) & ($true != ((X11 @ X10))) & ($true != ((X8 @ X9))) & ($true != ((X11 @ X12))) & (((X0 @ X6 @ X10)) != $true) & (((X11 @ X6)) != $true) & (((X0 @ X12 @ X6)) != $true) & ($true != ((X7 @ X10))) & ($true != ((X8 @ X12))))))),
% 0.96/0.49 inference(flattening,[],[f4])).
% 0.96/0.49 thf(f6,plain,(
% 0.96/0.49 ? [X0 : (($o > $o) > ($o > $o) > $o)] : ((! [X3 : ($o > $o),X5 : (($o > $o) > $o),X4 : ($o > $o)] : ((((X5 @ X4)) = $true) | (((X0 @ X4 @ X3)) != $true) | (((X5 @ X3)) != $true)) & ! [X12 : ($o > $o),X7 : (($o > $o) > $o),X10 : ($o > $o),X6 : ($o > $o),X9 : ($o > $o),X11 : (($o > $o) > $o),X8 : (($o > $o) > $o)] : ((((X8 @ X6)) = $true) | (((X0 @ X12 @ X6)) = $true) | (((X0 @ X12 @ X9)) = $true) | (((X0 @ X12 @ X10)) = $true) | ($true = ((X7 @ X10))) | ($true = ((X8 @ X9))) | ($true != ((X11 @ X9))) | ($true = ((X0 @ X6 @ X9))) | ($true = ((X7 @ X12))) | ($true != ((X8 @ X10))) | (((X11 @ X6)) = $true) | ($true = ((X11 @ X12))) | ($true = ((X8 @ X12))) | ($true = ((X11 @ X10))) | (((X0 @ X6 @ X10)) = $true) | (((X0 @ X10 @ X9)) = $true) | ($true = ((X7 @ X9))) | (((X7 @ X6)) != $true))) & ! [X1 : ($o > $o),X2 : ($o > $o)] : ((((X0 @ X1 @ X2)) != $true) | (((X0 @ X2 @ X1)) = $true)))),
% 0.96/0.49 inference(ennf_transformation,[],[f5])).
% 0.96/0.49 thf(f7,plain,(
% 0.96/0.49 ? [X0 : (($o > $o) > ($o > $o) > $o)] : (! [X3 : ($o > $o),X5 : (($o > $o) > $o),X4 : ($o > $o)] : ((((X5 @ X4)) = $true) | (((X0 @ X4 @ X3)) != $true) | (((X5 @ X3)) != $true)) & ! [X12 : ($o > $o),X7 : (($o > $o) > $o),X10 : ($o > $o),X6 : ($o > $o),X9 : ($o > $o),X11 : (($o > $o) > $o),X8 : (($o > $o) > $o)] : ((((X8 @ X6)) = $true) | (((X0 @ X12 @ X6)) = $true) | (((X0 @ X12 @ X9)) = $true) | (((X0 @ X12 @ X10)) = $true) | ($true = ((X7 @ X10))) | ($true = ((X8 @ X9))) | ($true != ((X11 @ X9))) | ($true = ((X0 @ X6 @ X9))) | ($true = ((X7 @ X12))) | ($true != ((X8 @ X10))) | (((X11 @ X6)) = $true) | ($true = ((X11 @ X12))) | ($true = ((X8 @ X12))) | ($true = ((X11 @ X10))) | (((X0 @ X6 @ X10)) = $true) | (((X0 @ X10 @ X9)) = $true) | ($true = ((X7 @ X9))) | (((X7 @ X6)) != $true)) & ! [X1 : ($o > $o),X2 : ($o > $o)] : ((((X0 @ X1 @ X2)) != $true) | (((X0 @ X2 @ X1)) = $true)))),
% 0.96/0.49 inference(flattening,[],[f6])).
% 0.96/0.49 thf(f8,plain,(
% 0.96/0.49 ? [X0 : (($o > $o) > ($o > $o) > $o)] : (! [X1 : ($o > $o),X2 : (($o > $o) > $o),X3 : ($o > $o)] : ((((X2 @ X3)) = $true) | (((X0 @ X3 @ X1)) != $true) | ($true != ((X2 @ X1)))) & ! [X4 : ($o > $o),X5 : (($o > $o) > $o),X6 : ($o > $o),X7 : ($o > $o),X8 : ($o > $o),X9 : (($o > $o) > $o),X10 : (($o > $o) > $o)] : ((((X10 @ X7)) = $true) | (((X0 @ X4 @ X7)) = $true) | ($true = ((X0 @ X4 @ X8))) | ($true = ((X0 @ X4 @ X6))) | (((X5 @ X6)) = $true) | ($true = ((X10 @ X8))) | ($true != ((X9 @ X8))) | ($true = ((X0 @ X7 @ X8))) | (((X5 @ X4)) = $true) | ($true != ((X10 @ X6))) | (((X9 @ X7)) = $true) | (((X9 @ X4)) = $true) | ($true = ((X10 @ X4))) | (((X9 @ X6)) = $true) | (((X0 @ X7 @ X6)) = $true) | (((X0 @ X6 @ X8)) = $true) | ($true = ((X5 @ X8))) | (((X5 @ X7)) != $true)) & ! [X11 : ($o > $o),X12 : ($o > $o)] : ((((X0 @ X11 @ X12)) != $true) | (((X0 @ X12 @ X11)) = $true)))),
% 0.96/0.49 inference(rectify,[],[f7])).
% 0.96/0.49 thf(f9,plain,(
% 0.96/0.49 ! [X1 : ($o > $o),X2 : (($o > $o) > $o),X3 : ($o > $o)] : ((((X2 @ X3)) = $true) | (((sK0 @ X3 @ X1)) != $true) | ($true != ((X2 @ X1)))) & ! [X4 : ($o > $o),X5 : (($o > $o) > $o),X6 : ($o > $o),X7 : ($o > $o),X8 : ($o > $o),X9 : (($o > $o) > $o),X10 : (($o > $o) > $o)] : ((((X10 @ X7)) = $true) | ($true = ((sK0 @ X4 @ X7))) | ($true = ((sK0 @ X4 @ X8))) | ($true = ((sK0 @ X4 @ X6))) | (((X5 @ X6)) = $true) | ($true = ((X10 @ X8))) | ($true != ((X9 @ X8))) | (((sK0 @ X7 @ X8)) = $true) | (((X5 @ X4)) = $true) | ($true != ((X10 @ X6))) | (((X9 @ X7)) = $true) | (((X9 @ X4)) = $true) | ($true = ((X10 @ X4))) | (((X9 @ X6)) = $true) | (((sK0 @ X7 @ X6)) = $true) | ($true = ((sK0 @ X6 @ X8))) | ($true = ((X5 @ X8))) | (((X5 @ X7)) != $true)) & ! [X11 : ($o > $o),X12 : ($o > $o)] : (($true != ((sK0 @ X11 @ X12))) | ($true = ((sK0 @ X12 @ X11))))),
% 0.96/0.49 inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f8])).
% 0.96/0.49 thf(f11,plain,(
% 0.96/0.49 ( ! [X10 : (($o > $o) > $o),X8 : ($o > $o),X6 : ($o > $o),X9 : (($o > $o) > $o),X7 : ($o > $o),X4 : ($o > $o),X5 : (($o > $o) > $o)] : (($true = ((sK0 @ X4 @ X6))) | ($true = ((sK0 @ X4 @ X8))) | (((X5 @ X4)) = $true) | (((X9 @ X4)) = $true) | (((X10 @ X7)) = $true) | ($true = ((sK0 @ X4 @ X7))) | ($true != ((X10 @ X6))) | (((sK0 @ X7 @ X6)) = $true) | ($true = ((X10 @ X4))) | ($true = ((X5 @ X8))) | (((X9 @ X7)) = $true) | (((X5 @ X6)) = $true) | ($true = ((sK0 @ X6 @ X8))) | ($true = ((X10 @ X8))) | (((X9 @ X6)) = $true) | (((X5 @ X7)) != $true) | (((sK0 @ X7 @ X8)) = $true) | ($true != ((X9 @ X8)))) )),
% 0.96/0.49 inference(cnf_transformation,[],[f9])).
% 0.96/0.49 thf(f12,plain,(
% 0.96/0.49 ( ! [X2 : (($o > $o) > $o),X3 : ($o > $o),X1 : ($o > $o)] : ((((sK0 @ X3 @ X1)) != $true) | ($true != ((X2 @ X1))) | (((X2 @ X3)) = $true)) )),
% 0.96/0.49 inference(cnf_transformation,[],[f9])).
% 0.96/0.49 thf(f13,definition,(
% 0.96/0.49 ($false != $true)),
% 0.96/0.49 introduced(theory,[fool_distinctness_axiom])).
% 0.96/0.49 thf(f17,plain,(
% 0.96/0.49 ( ! [X10 : (($o > $o) > $o),X8 : ($o > $o),X6 : ($o > $o),X9 : (($o > $o) > $o),X7 : ($o > $o),X4 : ($o > $o),X5 : (($o > $o) > $o)] : ((((sK0 @ X7 @ X8)) = $true) | (((sK0 @ X7 @ X6)) = $true) | (((X5 @ X4)) = $true) | ($true = ((X10 @ X8))) | (((X5 @ X6)) = $true) | ($true != ((X9 @ X8))) | (((X5 @ X7)) != $true) | (((X10 @ X7)) = $true) | ($true = ((sK0 @ X6 @ X8))) | (((X9 @ X4)) = $true) | (((X9 @ X6)) = $true) | ($true = ((X10 @ X4))) | ($true = ((X5 @ X8))) | ($true != ((X10 @ X6))) | (((X9 @ X7)) = $true) | ($true = ((sK0 @ X4 @ X7))) | ($true = ((sK0 @ X4 @ X8)))) )),
% 0.96/0.49 inference(forward_subsumption_resolution,[],[f11,f12])).
% 0.96/0.49 thf(f18,plain,(
% 0.96/0.49 ( ! [X10 : (($o > $o) > $o),X8 : ($o > $o),X6 : ($o > $o),X9 : (($o > $o) > $o),X7 : ($o > $o),X4 : ($o > $o),X5 : (($o > $o) > $o)] : ((((X5 @ X4)) = $true) | ($true = ((X10 @ X4))) | ($true = ((sK0 @ X4 @ X8))) | ($true != ((X10 @ X6))) | ($true = ((X5 @ X8))) | ($true != ((X9 @ X8))) | (((X10 @ X7)) = $true) | (((X5 @ X6)) = $true) | (((X5 @ X7)) != $true) | (((X9 @ X6)) = $true) | ($true = ((sK0 @ X6 @ X8))) | (((X9 @ X7)) = $true) | (((X9 @ X4)) = $true) | (((sK0 @ X7 @ X6)) = $true) | ($true = ((X10 @ X8))) | ($true = ((sK0 @ X4 @ X7)))) )),
% 0.96/0.49 inference(forward_subsumption_resolution,[],[f17,f12])).
% 0.96/0.49 thf(f19,plain,(
% 0.96/0.49 ( ! [X10 : (($o > $o) > $o),X8 : ($o > $o),X6 : ($o > $o),X9 : (($o > $o) > $o),X7 : ($o > $o),X4 : ($o > $o),X5 : (($o > $o) > $o)] : (($true = ((X5 @ X8))) | (((X9 @ X7)) = $true) | ($true != ((X9 @ X8))) | ($true = ((sK0 @ X6 @ X8))) | ($true = ((X10 @ X4))) | (((X5 @ X7)) != $true) | ($true = ((sK0 @ X4 @ X7))) | ($true = ((X10 @ X8))) | ($true != ((X10 @ X6))) | (((X9 @ X6)) = $true) | (((sK0 @ X7 @ X6)) = $true) | (((X10 @ X7)) = $true) | (((X5 @ X6)) = $true) | (((X5 @ X4)) = $true) | (((X9 @ X4)) = $true)) )),
% 0.96/0.49 inference(forward_subsumption_resolution,[],[f18,f12])).
% 0.96/0.49 thf(f20,plain,(
% 0.96/0.49 ( ! [X10 : (($o > $o) > $o),X8 : ($o > $o),X6 : ($o > $o),X9 : (($o > $o) > $o),X7 : ($o > $o),X4 : ($o > $o),X5 : (($o > $o) > $o)] : (($true = ((X10 @ X8))) | (((X5 @ X7)) != $true) | ($true = ((X5 @ X8))) | (((sK0 @ X7 @ X6)) = $true) | (((X9 @ X6)) = $true) | ($true = ((sK0 @ X4 @ X7))) | (((X5 @ X6)) = $true) | (((X9 @ X4)) = $true) | ($true != ((X10 @ X6))) | (((X5 @ X4)) = $true) | (((X10 @ X7)) = $true) | ($true != ((X9 @ X8))) | ($true = ((X10 @ X4))) | (((X9 @ X7)) = $true)) )),
% 0.96/0.49 inference(forward_subsumption_resolution,[],[f19,f12])).
% 0.96/0.49 thf(f21,plain,(
% 0.96/0.49 ( ! [X10 : (($o > $o) > $o),X8 : ($o > $o),X6 : ($o > $o),X9 : (($o > $o) > $o),X7 : ($o > $o),X4 : ($o > $o),X5 : (($o > $o) > $o)] : (($true = ((X10 @ X8))) | (((X5 @ X7)) != $true) | (((X9 @ X6)) = $true) | ($true = ((X5 @ X8))) | ($true != ((X10 @ X6))) | ($true = ((X10 @ X4))) | (((X5 @ X6)) = $true) | ($true != ((X9 @ X8))) | (((X9 @ X7)) = $true) | ($true = ((sK0 @ X4 @ X7))) | (((X10 @ X7)) = $true) | (((X5 @ X4)) = $true) | (((X9 @ X4)) = $true)) )),
% 0.96/0.49 inference(forward_subsumption_resolution,[],[f20,f12])).
% 0.96/0.49 thf(f22,plain,(
% 0.96/0.49 ( ! [X10 : (($o > $o) > $o),X8 : ($o > $o),X6 : ($o > $o),X9 : (($o > $o) > $o),X7 : ($o > $o),X4 : ($o > $o),X5 : (($o > $o) > $o)] : (($true != ((X10 @ X6))) | (((X10 @ X7)) = $true) | (((X5 @ X7)) != $true) | (((X5 @ X6)) = $true) | ($true = ((X5 @ X8))) | (((X5 @ X4)) = $true) | (((X9 @ X6)) = $true) | (((X9 @ X4)) = $true) | ($true = ((X10 @ X8))) | (((X9 @ X7)) = $true) | ($true != ((X9 @ X8))) | ($true = ((X10 @ X4)))) )),
% 0.96/0.49 inference(forward_subsumption_resolution,[],[f21,f12])).
% 0.96/0.49 thf(f36,plain,(
% 0.96/0.49 ( ! [X2 : (($o > $o) > $o),X3 : ($o > $o),X0 : ($o > $o),X1 : ($o > $o),X4 : ($o > $o),X5 : (($o > $o) > $o)] : ((((X2 @ X0)) = $true) | (X0 = X1) | (((X2 @ X3)) = $true) | (((X0 = X4)) = $true) | ($true = ((X2 @ X4))) | (((X5 @ X4)) = $true) | (((X5 @ X1)) = $true) | ($true != ((X2 @ X1))) | (((X5 @ X3)) != $true) | ($true = ((X0 = X3))) | (((X5 @ X0)) = $true)) )),
% 0.96/0.49 inference(leibniz_equality_elimination,[],[f22])).
% 0.96/0.49 thf(f45,plain,(
% 0.96/0.49 ( ! [X2 : (($o > $o) > $o),X3 : ($o > $o),X0 : ($o > $o),X1 : ($o > $o),X4 : ($o > $o),X5 : (($o > $o) > $o)] : ((((X5 @ X0)) = $true) | (X0 = X4) | (((X5 @ X4)) = $true) | ($true != ((X2 @ X1))) | ($true = ((X0 = X3))) | (((X5 @ X3)) != $true) | (((X2 @ X3)) = $true) | ($true = ((X2 @ X4))) | (((X5 @ X1)) = $true) | (((X2 @ X0)) = $true) | (X0 = X1)) )),
% 0.96/0.49 inference(equality_proxy_clausification,[],[f36])).
% 0.96/0.49 thf(f46,plain,(
% 0.96/0.49 ( ! [X2 : (($o > $o) > $o),X3 : ($o > $o),X0 : ($o > $o),X1 : ($o > $o),X4 : ($o > $o),X5 : (($o > $o) > $o)] : (($true != ((X2 @ X1))) | (((X5 @ X1)) = $true) | (((X2 @ X3)) = $true) | (X0 = X1) | (((X2 @ X0)) = $true) | (((X5 @ X4)) = $true) | (((X5 @ X0)) = $true) | ($true = ((X2 @ X4))) | (X0 = X3) | (X0 = X4) | (((X5 @ X3)) != $true)) )),
% 0.96/0.49 inference(equality_proxy_clausification,[],[f45])).
% 0.96/0.49 thf(f71,plain,(
% 0.96/0.49 ( ! [X2 : (($o > $o) > $o),X3 : ($o > $o),X0 : ($o > $o),X1 : ($o > $o),X4 : ($o > $o)] : (($true != ((X2 @ X1))) | (X0 = X1) | (((X0 = X4)) = $true) | (X1 = X3) | (((X2 @ X3)) = $true) | (((X2 @ X0)) = $true) | ($true = ((X0 = X3))) | (X3 = X4) | ($true = ((X2 @ X4))) | (X0 = X3)) )),
% 0.96/0.49 inference(leibniz_equality_elimination,[],[f46])).
% 0.96/0.49 thf(f98,plain,(
% 0.96/0.49 ( ! [X2 : (($o > $o) > $o),X3 : ($o > $o),X0 : ($o > $o),X1 : ($o > $o),X4 : ($o > $o)] : ((X1 = X3) | ($true = ((X0 = X3))) | (X0 = X3) | (X0 = X1) | (X3 = X4) | ($true = ((X2 @ X4))) | ($true != ((X2 @ X1))) | (((X2 @ X0)) = $true) | (((X2 @ X3)) = $true) | (X0 = X4)) )),
% 0.96/0.49 inference(equality_proxy_clausification,[],[f71])).
% 0.96/0.49 thf(f99,plain,(
% 0.96/0.49 ( ! [X2 : (($o > $o) > $o),X3 : ($o > $o),X0 : ($o > $o),X1 : ($o > $o),X4 : ($o > $o)] : (($true = ((X2 @ X4))) | (X0 = X3) | (X1 = X3) | (X0 = X4) | (X0 = X1) | (((X2 @ X0)) = $true) | (((X2 @ X3)) = $true) | (X0 = X3) | ($true != ((X2 @ X1))) | (X3 = X4)) )),
% 0.96/0.49 inference(equality_proxy_clausification,[],[f98])).
% 0.96/0.49 thf(f100,plain,(
% 0.96/0.49 ( ! [X2 : (($o > $o) > $o),X3 : ($o > $o),X0 : ($o > $o),X1 : ($o > $o),X4 : ($o > $o)] : (($true != ((X2 @ X1))) | (X0 = X1) | (X0 = X3) | (X0 = X4) | (((X2 @ X3)) = $true) | ($true = ((X2 @ X4))) | (X3 = X4) | (((X2 @ X0)) = $true) | (X1 = X3)) )),
% 0.96/0.49 inference(duplicate_literal_removal,[],[f99])).
% 0.96/0.49 thf(f245,plain,(
% 0.96/0.49 ( ! [X2 : ($o > $o),X3 : ($o > $o),X0 : ($o > $o),X1 : ($o > $o)] : (($true = ((X0 = X3))) | (X2 = X3) | (X0 = X2) | (X0 = X1) | (X1 = X2) | (X1 = X3) | (X0 = X1) | ($true = ((X0 = X2)))) )),
% 0.96/0.49 inference(leibniz_equality_elimination,[],[f100])).
% 0.96/0.49 thf(f257,plain,(
% 0.96/0.49 ( ! [X2 : ($o > $o),X3 : ($o > $o),X0 : ($o > $o),X1 : ($o > $o)] : ((X1 = X3) | (X0 = X1) | (X0 = X3) | (X2 = X3) | (X0 = X2) | (X0 = X1) | ($true = ((X0 = X2))) | (X1 = X2)) )),
% 0.96/0.49 inference(equality_proxy_clausification,[],[f245])).
% 0.96/0.49 thf(f258,plain,(
% 0.96/0.49 ( ! [X2 : ($o > $o),X3 : ($o > $o),X0 : ($o > $o),X1 : ($o > $o)] : ((X0 = X2) | (X0 = X1) | (X0 = X1) | (X0 = X2) | (X2 = X3) | (X0 = X3) | (X1 = X3) | (X1 = X2)) )),
% 0.96/0.49 inference(equality_proxy_clausification,[],[f257])).
% 0.96/0.49 thf(f259,plain,(
% 0.96/0.49 ( ! [X2 : ($o > $o),X3 : ($o > $o),X0 : ($o > $o),X1 : ($o > $o)] : ((X2 = X3) | (X1 = X2) | (X1 = X3) | (X0 = X2) | (X0 = X3) | (X0 = X1)) )),
% 0.96/0.49 inference(duplicate_literal_removal,[],[f258])).
% 0.96/0.49 thf(f279,plain,(
% 0.96/0.49 ( ! [X2 : ($o > $o),X3 : ($o > $o),X0 : ($o > $o),X1 : ($o > $o),X4 : $o] : ((X1 = X3) | (X0 = X1) | (X1 = X2) | (((X3 @ X4)) = ((X2 @ X4))) | (X0 = X2) | (X0 = X3)) )),
% 0.96/0.49 inference(argument_congruence,[],[f259])).
% 0.96/0.49 thf(f297,plain,(
% 0.96/0.49 ( ! [X2 : ($o > $o),X3 : ($o > $o),X0 : ($o > $o),X1 : ($o > $o),X4 : $o] : (($false = ((X2 @ X4))) | (((X3 @ X4)) = $true) | (X1 = X2) | (X0 = X3) | (X0 = X1) | (X0 = X2) | (X1 = X3)) )),
% 0.96/0.49 inference(iff_proxy_clausification,[],[f279])).
% 0.96/0.49 thf(f402,plain,(
% 0.96/0.49 ( ! [X3 : ($o > $o),X0 : ($o > $o),X1 : ($o > $o),X4 : $o] : ((X0 = X1) | (X1 = X3) | ((^[Y0 : $o]: ($true)) = X0) | (X0 = X3) | (((X3 @ X4)) = $true) | ($false = (((^[Y0 : $o]: ($true)) @ X4))) | ((^[Y0 : $o]: ($true)) = X1)) )),
% 0.96/0.49 inference(primitive_instantiation,[],[f297])).
% 0.96/0.49 thf(f411,plain,(
% 0.96/0.49 ( ! [X3 : ($o > $o),X0 : ($o > $o),X1 : ($o > $o),X4 : $o] : ((X1 = X3) | (X0 = X1) | (X0 = X3) | (((X3 @ X4)) = $true) | ((^[Y0 : $o]: ($true)) = X1) | ((^[Y0 : $o]: ($true)) = X0) | ($false = $true)) )),
% 0.96/0.49 inference(beta-eta_normalization,[],[f402])).
% 0.96/0.49 thf(f412,plain,(
% 0.96/0.49 ( ! [X3 : ($o > $o),X0 : ($o > $o),X1 : ($o > $o),X4 : $o] : (((^[Y0 : $o]: ($true)) = X1) | ((^[Y0 : $o]: ($true)) = X0) | (X0 = X3) | (((X3 @ X4)) = $true) | (X1 = X3) | (X0 = X1)) )),
% 0.96/0.49 inference(trivial_inequality_removal,[],[f411])).
% 0.96/0.49 thf(f416,plain,(
% 0.96/0.49 ( ! [X3 : ($o > $o),X0 : ($o > $o),X1 : ($o > $o),X4 : $o,X5 : $o] : ((((X3 @ X4)) = $true) | ((^[Y0 : $o]: ($true)) = X0) | (((X1 @ X5)) = (((^[Y0 : $o]: ($true)) @ X5))) | (X0 = X1) | (X0 = X3) | (X1 = X3)) )),
% 0.96/0.49 inference(argument_congruence,[],[f412])).
% 0.96/0.49 thf(f436,plain,(
% 0.96/0.49 ( ! [X3 : ($o > $o),X0 : ($o > $o),X1 : ($o > $o),X4 : $o,X5 : $o] : ((X0 = X3) | (X1 = X3) | (((X3 @ X4)) = $true) | ($false = (((^[Y0 : $o]: ($true)) @ X5))) | (X0 = X1) | ($true = ((X1 @ X5))) | ((^[Y0 : $o]: ($true)) = X0)) )),
% 0.96/0.49 inference(iff_proxy_clausification,[],[f416])).
% 0.96/0.49 thf(f439,plain,(
% 0.96/0.49 ( ! [X3 : ($o > $o),X0 : ($o > $o),X1 : ($o > $o),X4 : $o,X5 : $o] : ((X1 = X3) | ((^[Y0 : $o]: ($true)) = X0) | (X0 = X3) | (((X3 @ X4)) = $true) | ($false = $true) | ($true = ((X1 @ X5))) | (X0 = X1)) )),
% 0.96/0.49 inference(beta-eta_normalization,[],[f436])).
% 0.96/0.49 thf(f440,plain,(
% 0.96/0.49 ( ! [X3 : ($o > $o),X0 : ($o > $o),X1 : ($o > $o),X4 : $o,X5 : $o] : (((^[Y0 : $o]: ($true)) = X0) | (X0 = X1) | (X1 = X3) | (X0 = X3) | (((X3 @ X4)) = $true) | ($true = ((X1 @ X5)))) )),
% 0.96/0.49 inference(trivial_inequality_removal,[],[f439])).
% 0.96/0.49 thf(f476,plain,(
% 0.96/0.49 ( ! [X3 : ($o > $o),X0 : ($o > $o),X1 : ($o > $o),X6 : $o,X4 : $o,X5 : $o] : ((X1 = X3) | (X0 = X1) | (((X3 @ X4)) = $true) | ($true = ((X1 @ X5))) | (X0 = X3) | ((((^[Y0 : $o]: ($true)) @ X6)) = ((X0 @ X6)))) )),
% 0.96/0.49 inference(argument_congruence,[],[f440])).
% 0.96/0.49 thf(f494,plain,(
% 0.96/0.49 ( ! [X3 : ($o > $o),X0 : ($o > $o),X1 : ($o > $o),X6 : $o,X4 : $o,X5 : $o] : (($true = ((X1 @ X5))) | (X0 = X3) | ($true = ((X0 @ X6))) | (X1 = X3) | ((((^[Y0 : $o]: ($true)) @ X6)) = $false) | (X0 = X1) | (((X3 @ X4)) = $true)) )),
% 0.96/0.49 inference(iff_proxy_clausification,[],[f476])).
% 0.96/0.49 thf(f495,plain,(
% 0.96/0.49 ( ! [X3 : ($o > $o),X0 : ($o > $o),X1 : ($o > $o),X6 : $o,X4 : $o,X5 : $o] : ((X0 = X3) | (((X3 @ X4)) = $true) | (X0 = X1) | ($true = ((X1 @ X5))) | ($false = $true) | ($true = ((X0 @ X6))) | (X1 = X3)) )),
% 0.96/0.49 inference(beta-eta_normalization,[],[f494])).
% 0.96/0.49 thf(f496,plain,(
% 0.96/0.49 ( ! [X3 : ($o > $o),X0 : ($o > $o),X1 : ($o > $o),X6 : $o,X4 : $o,X5 : $o] : (($true = ((X1 @ X5))) | (((X3 @ X4)) = $true) | (X0 = X3) | (X0 = X1) | ($true = ((X0 @ X6))) | (X1 = X3)) )),
% 0.96/0.49 inference(trivial_inequality_removal,[],[f495])).
% 0.96/0.49 thf(f537,plain,(
% 0.96/0.49 ( ! [X3 : ($o > $o),X0 : ($o > $o),X6 : $o,X4 : $o,X5 : $o] : ((((X3 @ X4)) = $true) | (X0 = X3) | ((^[Y0 : $o]: ($false)) = X0) | ($true = ((X0 @ X6))) | ((^[Y0 : $o]: ($false)) = X3) | ($true = (((^[Y0 : $o]: ($false)) @ X5)))) )),
% 0.96/0.49 inference(primitive_instantiation,[],[f496])).
% 0.96/0.49 thf(f546,plain,(
% 0.96/0.49 ( ! [X3 : ($o > $o),X0 : ($o > $o),X6 : $o,X4 : $o] : (($false = $true) | ((^[Y0 : $o]: ($false)) = X0) | (X0 = X3) | ((^[Y0 : $o]: ($false)) = X3) | ($true = ((X0 @ X6))) | (((X3 @ X4)) = $true)) )),
% 0.96/0.49 inference(beta-eta_normalization,[],[f537])).
% 0.96/0.49 thf(f547,plain,(
% 0.96/0.49 ( ! [X3 : ($o > $o),X0 : ($o > $o),X6 : $o,X4 : $o] : (((^[Y0 : $o]: ($false)) = X3) | ($true = ((X0 @ X6))) | (((X3 @ X4)) = $true) | (X0 = X3) | ((^[Y0 : $o]: ($false)) = X0)) )),
% 0.96/0.49 inference(trivial_inequality_removal,[],[f546])).
% 0.96/0.49 thf(f558,definition,(
% 0.96/0.49 spl1_1 <=> ! [X5 : $o] : ($true = X5)),
% 0.96/0.49 introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition])).
% 0.96/0.49 thf(f559,plain,(
% 0.96/0.49 ( ! [X5 : $o] : (($true = X5)) ) | ~spl1_1),
% 0.96/0.49 inference(avatar_component_clause,[],[f558])).
% 0.96/0.49 thf(f600,plain,(
% 0.96/0.49 ( ! [X3 : ($o > $o),X0 : ($o > $o),X6 : $o,X7 : $o,X4 : $o] : ((((X3 @ X7)) = (((^[Y0 : $o]: ($false)) @ X7))) | (X0 = X3) | ($true = ((X0 @ X6))) | (((X3 @ X4)) = $true) | ((^[Y0 : $o]: ($false)) = X0)) )),
% 0.96/0.49 inference(argument_congruence,[],[f547])).
% 0.96/0.49 thf(f608,plain,(
% 0.96/0.49 ( ! [X3 : ($o > $o),X0 : ($o > $o),X6 : $o,X7 : $o,X4 : $o] : ((((X3 @ X4)) = $true) | ((^[Y0 : $o]: ($false)) = X0) | (X0 = X3) | (((X3 @ X7)) = $false) | ($true = (((^[Y0 : $o]: ($false)) @ X7))) | ($true = ((X0 @ X6)))) )),
% 0.96/0.49 inference(iff_proxy_clausification,[],[f600])).
% 0.96/0.49 thf(f609,plain,(
% 0.96/0.49 ( ! [X3 : ($o > $o),X0 : ($o > $o),X6 : $o,X7 : $o,X4 : $o] : ((((X3 @ X4)) = $true) | ($false = $true) | (((X3 @ X7)) = $false) | (X0 = X3) | ($true = ((X0 @ X6))) | ((^[Y0 : $o]: ($false)) = X0)) )),
% 0.96/0.49 inference(beta-eta_normalization,[],[f608])).
% 0.96/0.49 thf(f610,plain,(
% 0.96/0.49 ( ! [X3 : ($o > $o),X0 : ($o > $o),X6 : $o,X7 : $o,X4 : $o] : (((^[Y0 : $o]: ($false)) = X0) | ($true = ((X0 @ X6))) | (X0 = X3) | (((X3 @ X7)) = $false) | (((X3 @ X4)) = $true)) )),
% 0.96/0.49 inference(trivial_inequality_removal,[],[f609])).
% 0.96/0.49 thf(f612,plain,(
% 0.96/0.49 ( ! [X2 : ($o > $o),X3 : $o,X0 : $o,X1 : $o] : ((((= @ X1)) = X2) | (X0 = X1) | ($true = ((X2 @ X3))) | ((^[Y0 : $o]: ($false)) = X2)) )),
% 0.96/0.49 inference(leibniz_equality_elimination,[],[f610])).
% 0.96/0.49 thf(f620,plain,(
% 0.96/0.49 ( ! [X2 : ($o > $o),X3 : $o,X0 : $o,X1 : $o] : (((^[Y0 : $o]: ($false)) = X2) | ($true = ((X2 @ X3))) | (((= @ X1)) = X2) | ($true = X1) | ($false = X0)) )),
% 0.96/0.49 inference(iff_proxy_clausification,[],[f612])).
% 0.96/0.49 thf(f631,definition,(
% 0.96/0.49 spl1_3 <=> ! [X2 : ($o > $o),X1 : $o,X3 : $o] : (((^[Y0 : $o]: ($false)) = X2) | ($true = X1) | (((= @ X1)) = X2) | ($true = ((X2 @ X3))))),
% 0.96/0.49 introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition])).
% 0.96/0.49 thf(f632,plain,(
% 0.96/0.49 ( ! [X2 : ($o > $o),X3 : $o,X1 : $o] : ((((= @ X1)) = X2) | ($true = ((X2 @ X3))) | ((^[Y0 : $o]: ($false)) = X2) | ($true = X1)) ) | ~spl1_3),
% 0.96/0.49 inference(avatar_component_clause,[],[f631])).
% 0.96/0.49 thf(f634,definition,(
% 0.96/0.49 spl1_4 <=> ! [X0 : $o] : ($false = X0)),
% 0.96/0.49 introduced(definition,[new_symbols(definition,[spl1_4])],[avatar_definition])).
% 0.96/0.49 thf(f635,plain,(
% 0.96/0.49 ( ! [X0 : $o] : (($false = X0)) ) | ~spl1_4),
% 0.96/0.49 inference(avatar_component_clause,[],[f634])).
% 0.96/0.49 thf(f636,plain,(
% 0.96/0.49 spl1_3 | spl1_4),
% 0.96/0.49 inference(avatar_split_clause,[],[f620,f634,f631])).
% 0.96/0.49 thf(f687,plain,(
% 0.96/0.49 ( ! [X0 : $o] : (($false != X0)) ) | ~spl1_1),
% 0.96/0.49 inference(superposition,[],[f13,f559])).
% 0.96/0.49 thf(f745,plain,(
% 0.96/0.49 ($false != $false) | ~spl1_4),
% 0.96/0.49 inference(superposition,[],[f13,f635])).
% 0.96/0.49 thf(f770,plain,(
% 0.96/0.49 $false | ~spl1_4),
% 0.96/0.49 inference(trivial_inequality_removal,[],[f745])).
% 0.96/0.49 thf(f771,plain,(
% 0.96/0.49 ~spl1_4),
% 0.96/0.49 inference(avatar_contradiction_clause,[],[f770])).
% 0.96/0.49 thf(f776,plain,(
% 0.96/0.49 $false | ~spl1_1),
% 0.96/0.49 inference(equality_resolution,[],[f687])).
% 0.96/0.49 thf(f779,plain,(
% 0.96/0.49 ~spl1_1),
% 0.96/0.49 inference(avatar_contradiction_clause,[],[f776])).
% 0.96/0.49 thf(f814,plain,(
% 0.96/0.49 ( ! [X2 : ($o > $o),X3 : $o,X1 : $o,X4 : $o] : (((^[Y0 : $o]: ($false)) = X2) | ($true = X1) | ($true = ((X2 @ X3))) | (((X1 = X4)) = ((X2 @ X4)))) ) | ~spl1_3),
% 0.96/0.49 inference(argument_congruence,[],[f632])).
% 0.96/0.49 thf(f822,plain,(
% 0.96/0.49 ( ! [X2 : ($o > $o),X3 : $o,X1 : $o,X4 : $o] : (($false = ((X1 = X4))) | ($true = ((X2 @ X4))) | ((^[Y0 : $o]: ($false)) = X2) | ($true = X1) | ($true = ((X2 @ X3)))) ) | ~spl1_3),
% 0.96/0.49 inference(iff_proxy_clausification,[],[f814])).
% 0.96/0.49 thf(f823,plain,(
% 0.96/0.49 ( ! [X2 : ($o > $o),X3 : $o,X1 : $o,X4 : $o] : (($true = ((X2 @ X3))) | ($true = X1) | ($true = ((X2 @ X4))) | ((^[Y0 : $o]: ($false)) = X2) | (X1 != X4)) ) | ~spl1_3),
% 0.96/0.49 inference(equality_proxy_clausification,[],[f822])).
% 0.96/0.49 thf(f824,plain,(
% 0.96/0.49 ( ! [X2 : ($o > $o),X3 : $o,X1 : $o,X4 : $o] : (($true = ((X2 @ X4))) | ($true = X1) | ($true = ((X2 @ X3))) | ($true = X1) | ((^[Y0 : $o]: ($false)) = X2) | ($true = X4)) ) | ~spl1_3),
% 0.96/0.49 inference(xor_proxy_clausification,[],[f823])).
% 0.96/0.49 thf(f826,plain,(
% 0.96/0.49 ( ! [X2 : ($o > $o),X3 : $o,X1 : $o,X4 : $o] : (($true = X4) | ($true = X1) | ($true = ((X2 @ X4))) | ($true = ((X2 @ X3))) | ((^[Y0 : $o]: ($false)) = X2)) ) | ~spl1_3),
% 0.96/0.49 inference(duplicate_literal_removal,[],[f824])).
% 0.96/0.49 thf(f833,definition,(
% 0.96/0.49 spl1_8 <=> ! [X4 : $o,X2 : ($o > $o),X3 : $o] : (($true = X4) | ((^[Y0 : $o]: ($false)) = X2) | ($true = ((X2 @ X3))) | ($true = ((X2 @ X4))))),
% 0.96/0.49 introduced(definition,[new_symbols(definition,[spl1_8])],[avatar_definition])).
% 0.96/0.49 thf(f834,plain,(
% 0.96/0.49 ( ! [X2 : ($o > $o),X3 : $o,X4 : $o] : (((^[Y0 : $o]: ($false)) = X2) | ($true = ((X2 @ X4))) | ($true = X4) | ($true = ((X2 @ X3)))) ) | ~spl1_8),
% 0.96/0.49 inference(avatar_component_clause,[],[f833])).
% 0.96/0.49 thf(f835,plain,(
% 0.96/0.49 spl1_8 | spl1_1 | ~spl1_3),
% 0.96/0.49 inference(avatar_split_clause,[],[f826,f631,f558,f833])).
% 0.96/0.49 thf(f973,plain,(
% 0.96/0.49 ( ! [X2 : ($o > $o),X3 : $o,X4 : $o,X5 : $o] : (($true = ((X2 @ X3))) | ($true = X4) | ($true = ((X2 @ X4))) | ((((^[Y0 : $o]: ($false)) @ X5)) = ((X2 @ X5)))) ) | ~spl1_8),
% 0.96/0.49 inference(argument_congruence,[],[f834])).
% 0.96/0.49 thf(f976,plain,(
% 0.96/0.49 ( ! [X2 : ($o > $o),X3 : $o,X4 : $o,X5 : $o] : (($true = ((X2 @ X4))) | ($true = (((^[Y0 : $o]: ($false)) @ X5))) | ($true = X4) | ($false = ((X2 @ X5))) | ($true = ((X2 @ X3)))) ) | ~spl1_8),
% 0.96/0.49 inference(iff_proxy_clausification,[],[f973])).
% 0.96/0.49 thf(f979,plain,(
% 0.96/0.49 ( ! [X2 : ($o > $o),X3 : $o,X4 : $o,X5 : $o] : (($true = ((X2 @ X3))) | ($false = $true) | ($false = ((X2 @ X5))) | ($true = ((X2 @ X4))) | ($true = X4)) ) | ~spl1_8),
% 0.96/0.49 inference(beta-eta_normalization,[],[f976])).
% 0.96/0.49 thf(f980,plain,(
% 0.96/0.49 ( ! [X2 : ($o > $o),X3 : $o,X4 : $o,X5 : $o] : (($true = ((X2 @ X4))) | ($false = ((X2 @ X5))) | ($true = X4) | ($true = ((X2 @ X3)))) ) | ~spl1_8),
% 0.96/0.49 inference(trivial_inequality_removal,[],[f979])).
% 0.96/0.49 thf(f1076,plain,(
% 0.96/0.49 ( ! [X2 : $o,X0 : $o,X1 : $o] : (($true = (((^[Y0 : $o]: (~ (Y0 = X0))) @ X2))) | ($true = X0) | (X0 = X1)) ) | ~spl1_8),
% 0.96/0.49 inference(leibniz_equality_elimination,[],[f980])).
% 0.96/0.49 thf(f1120,plain,(
% 0.96/0.49 ( ! [X2 : $o,X0 : $o,X1 : $o] : (($true = X0) | ($true = (((^[Y0 : $o]: (~ (Y0 = X0))) @ X2))) | ($false = X1) | ($true = X0)) ) | ~spl1_8),
% 0.96/0.49 inference(iff_proxy_clausification,[],[f1076])).
% 0.96/0.49 thf(f1129,plain,(
% 0.96/0.49 ( ! [X2 : $o,X0 : $o,X1 : $o] : (($true = X0) | ($true = (((^[Y0 : $o]: (~ (Y0 = X0))) @ X2))) | ($false = X1)) ) | ~spl1_8),
% 0.96/0.49 inference(duplicate_literal_removal,[],[f1120])).
% 0.96/0.49 thf(f1130,plain,(
% 0.96/0.49 ( ! [X2 : $o,X0 : $o,X1 : $o] : (($true = ((~ (X2 = X0)))) | ($true = X0) | ($false = X1)) ) | ~spl1_8),
% 0.96/0.49 inference(beta-eta_normalization,[],[f1129])).
% 0.96/0.49 thf(f1131,plain,(
% 0.96/0.49 ( ! [X2 : $o,X0 : $o,X1 : $o] : (($false = X1) | ($false = ((X2 = X0))) | ($true = X0)) ) | ~spl1_8),
% 0.96/0.49 inference(not_proxy_clausification,[],[f1130])).
% 0.96/0.49 thf(f1132,plain,(
% 0.96/0.49 ( ! [X2 : $o,X0 : $o,X1 : $o] : ((X0 != X2) | ($true = X0) | ($false = X1)) ) | ~spl1_8),
% 0.96/0.49 inference(equality_proxy_clausification,[],[f1131])).
% 0.96/0.49 thf(f1133,plain,(
% 0.96/0.49 ( ! [X2 : $o,X0 : $o,X1 : $o] : (($true = X0) | ($true = X0) | ($true = X2) | ($false = X1)) ) | ~spl1_8),
% 0.96/0.49 inference(xor_proxy_clausification,[],[f1132])).
% 0.96/0.49 thf(f1135,plain,(
% 0.96/0.49 ( ! [X2 : $o,X0 : $o,X1 : $o] : (($false = X1) | ($true = X0) | ($true = X2)) ) | ~spl1_8),
% 0.96/0.49 inference(duplicate_literal_removal,[],[f1133])).
% 0.96/0.49 thf(f1151,plain,(
% 0.96/0.49 spl1_4 | spl1_1 | spl1_1 | ~spl1_8),
% 0.96/0.49 inference(avatar_split_clause,[],[f1135,f833,f558,f558,f634])).
% 0.96/0.49 cnf(s2, plain, spl1_3 | spl1_4, inference(sat_conversion,[],[f636])).
% 0.96/0.49 cnf(s6, plain, ~spl1_4, inference(sat_conversion,[],[f771])).
% 0.96/0.49 cnf(s8, plain, ~spl1_1, inference(sat_conversion,[],[f779])).
% 0.96/0.49 cnf(s9, plain, spl1_1 | ~spl1_3 | spl1_8, inference(sat_conversion,[],[f835])).
% 0.96/0.49 cnf(s27, plain, spl1_1 | spl1_1 | spl1_4 | ~spl1_8, inference(sat_conversion,[],[f1151])).
% 0.96/0.49 cnf(s28, plain, spl1_1 | spl1_4 | ~spl1_8, inference(rat,[],[s27])).
% 0.96/0.49 cnf(s29, plain, ~spl1_8, inference(rat,[],[s28,s8,s6])).
% 0.96/0.49 cnf(s30, plain, ~spl1_3, inference(rat,[],[s9,s8,s29])).
% 0.96/0.49 cnf(s34, plain, $false, inference(rat,[],[s2,s6,s30])).
% 0.96/0.49 thf(f1152,plain,(
% 0.96/0.49 $false),
% 0.96/0.49 inference(avatar_sat_refutation,[],[s34])).
% 0.96/0.49 % SZS output end Proof for theBenchmark
% 0.96/0.49 % (1689514)------------------------------
% 0.96/0.49 % (1689514)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.96/0.49 % (1689514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.96/0.49 % (1689514)CaDiCaL version: 2.1.3
% 0.96/0.49 % (1689514)Termination reason: Refutation
% 0.96/0.49 % (1689514)Time elapsed: 0.073 s
% 0.96/0.49 % (1689514)Peak memory usage: 13 MB
% 0.96/0.49 % (1689514)Instructions burned: 168 (million)
% 0.96/0.49 % (1689450)Success in time 0.259 s
% 0.96/0.49 % Vampire exiting
%------------------------------------------------------------------------------