%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU807^2 : TPTP v9.3.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:31:34 AM UTC 2026
% Result : Theorem 0.88s 0.45s
% Output : Refutation 0.88s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU807^2 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n004.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Tue Sep 29 14:32:52 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.09/0.25 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
% 0.22/0.38 % (1366117)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.22/0.38 % (1366127)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1684845947:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.22/0.38 % (1366128)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.22/0.38 % (1366128)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
% 0.22/0.38 % (1366125)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=1624294269: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)
% 0.22/0.38 % (1366122)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1567682155:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.22/0.38 % (1366124)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1341807028:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.22/0.38 % (1366123)lrs+10_16_si=on:nwc=1.5:random_seed=3021950026:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.22/0.38 % (1366128)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=434204881:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.22/0.38 % (1366126)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=948727454:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.22/0.38 % (1366124)Instruction limit reached!
% 0.22/0.38 % (1366124)------------------------------
% 0.22/0.38 % (1366124)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.38 % (1366124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.38 % (1366124)CaDiCaL version: 2.1.3
% 0.22/0.38 % (1366124)Termination reason: Instruction limit
% 0.22/0.38 % (1366124)Termination phase: Saturation
% 0.22/0.38 % (1366124)Time elapsed: 0.002 s
% 0.22/0.38 % (1366124)Peak memory usage: 12 MB
% 0.22/0.38 % (1366124)Instructions burned: 3 (million)
% 0.22/0.38 % (1366123)Instruction limit reached!
% 0.22/0.38 % (1366123)------------------------------
% 0.22/0.38 % (1366123)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.38 % (1366123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.38 % (1366123)CaDiCaL version: 2.1.3
% 0.22/0.38 % (1366123)Termination reason: Instruction limit
% 0.22/0.38 % (1366123)Termination phase: Saturation
% 0.22/0.38 % (1366123)Time elapsed: 0.011 s
% 0.22/0.38 % (1366123)Peak memory usage: 12 MB
% 0.22/0.38 % (1366123)Instructions burned: 19 (million)
% 0.22/0.38 % (1366126)Instruction limit reached!
% 0.22/0.38 % (1366126)------------------------------
% 0.22/0.38 % (1366126)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.38 % (1366126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.38 % (1366126)CaDiCaL version: 2.1.3
% 0.22/0.38 % (1366126)Termination reason: Instruction limit
% 0.22/0.38 % (1366126)Termination phase: Saturation
% 0.22/0.38 % (1366126)Time elapsed: 0.014 s
% 0.22/0.38 % (1366126)Peak memory usage: 11 MB
% 0.22/0.38 % (1366126)Instructions burned: 26 (million)
% 0.22/0.38 % (1366127)Instruction limit reached!
% 0.22/0.38 % (1366127)------------------------------
% 0.22/0.38 % (1366127)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.38 % (1366127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.38 % (1366127)CaDiCaL version: 2.1.3
% 0.22/0.38 % (1366127)Termination reason: Instruction limit
% 0.22/0.38 % (1366127)Termination phase: Saturation
% 0.22/0.38 % (1366127)Time elapsed: 0.023 s
% 0.22/0.38 % (1366127)Peak memory usage: 12 MB
% 0.22/0.38 % (1366127)Instructions burned: 78 (million)
% 0.22/0.38 % (1366136)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1288100131:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.22/0.38 % (1366136)Instruction limit reached!
% 0.22/0.38 % (1366136)------------------------------
% 0.22/0.38 % (1366136)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.42 % (1366136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.42 % (1366136)CaDiCaL version: 2.1.3
% 0.88/0.42 % (1366136)Termination reason: Instruction limit
% 0.88/0.42 % (1366136)Termination phase: Saturation
% 0.88/0.42 % (1366136)Time elapsed: 0.002 s
% 0.88/0.42 % (1366136)Peak memory usage: 12 MB
% 0.88/0.42 % (1366136)Instructions burned: 3 (million)
% 0.88/0.42 % (1366139)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=175565007:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.88/0.42 % (1366137)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1465825110:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.88/0.42 % (1366138)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.88/0.42 % (1366139)Instruction limit reached!
% 0.88/0.42 % (1366139)------------------------------
% 0.88/0.42 % (1366139)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.42 % (1366139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.42 % (1366139)CaDiCaL version: 2.1.3
% 0.88/0.42 % (1366139)Termination reason: Instruction limit
% 0.88/0.42 % (1366139)Termination phase: Saturation
% 0.88/0.42 % (1366139)Time elapsed: 0.005 s
% 0.88/0.42 % (1366139)Peak memory usage: 12 MB
% 0.88/0.42 % (1366139)Instructions burned: 15 (million)
% 0.88/0.42 % (1366138)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1840531516:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.88/0.42 % (1366137)Instruction limit reached!
% 0.88/0.42 % (1366137)------------------------------
% 0.88/0.42 % (1366137)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.42 % (1366137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.42 % (1366137)CaDiCaL version: 2.1.3
% 0.88/0.42 % (1366137)Termination reason: Instruction limit
% 0.88/0.42 % (1366137)Termination phase: Saturation
% 0.88/0.42 % (1366137)Time elapsed: 0.004 s
% 0.88/0.42 % (1366137)Peak memory usage: 12 MB
% 0.88/0.42 % (1366137)Instructions burned: 6 (million)
% 0.88/0.42 % (1366138)Instruction limit reached!
% 0.88/0.42 % (1366138)------------------------------
% 0.88/0.42 % (1366138)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.42 % (1366138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.42 % (1366138)CaDiCaL version: 2.1.3
% 0.88/0.42 % (1366138)Termination reason: Instruction limit
% 0.88/0.42 % (1366138)Termination phase: Saturation
% 0.88/0.42 % (1366138)Time elapsed: 0.005 s
% 0.88/0.42 % (1366138)Peak memory usage: 12 MB
% 0.88/0.42 % (1366138)Instructions burned: 8 (million)
% 0.88/0.42 % (1366141)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
% 0.88/0.42 % (1366141)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.88/0.42 % (1366122)Instruction limit reached!
% 0.88/0.42 % (1366122)------------------------------
% 0.88/0.42 % (1366122)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.42 % (1366122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.42 % (1366122)CaDiCaL version: 2.1.3
% 0.88/0.42 % (1366122)Termination reason: Instruction limit
% 0.88/0.42 % (1366122)Termination phase: Saturation
% 0.88/0.42 % (1366122)Time elapsed: 0.041 s
% 0.88/0.42 % (1366122)Peak memory usage: 12 MB
% 0.88/0.42 % (1366122)Instructions burned: 87 (million)
% 0.88/0.42 % (1366141)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2428194631:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.88/0.42 % (1366145)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=2401463408:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.88/0.42 % (1366145)Refutation not found, incomplete strategy
% 0.88/0.42 % (1366145)------------------------------
% 0.88/0.42 % (1366145)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.45 % (1366145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.45 % (1366145)CaDiCaL version: 2.1.3
% 0.88/0.45 % (1366145)Termination reason: Refutation not found, incomplete strategy
% 0.88/0.45 % (1366145)Time elapsed: 0.005 s
% 0.88/0.45 % (1366145)Peak memory usage: 12 MB
% 0.88/0.45 % (1366145)Instructions burned: 18 (million)
% 0.88/0.45 % (1366145)------------------------------
% 0.88/0.45 % (1366145)------------------------------
% 0.88/0.45 % (1366147)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.88/0.45 % (1366147)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=1743958729:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.88/0.45 % (1366141)Instruction limit reached!
% 0.88/0.45 % (1366141)------------------------------
% 0.88/0.45 % (1366141)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.45 % (1366141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.45 % (1366141)CaDiCaL version: 2.1.3
% 0.88/0.45 % (1366141)Termination reason: Instruction limit
% 0.88/0.45 % (1366141)Termination phase: Saturation
% 0.88/0.45 % (1366141)Time elapsed: 0.015 s
% 0.88/0.45 % (1366141)Peak memory usage: 12 MB
% 0.88/0.45 % (1366141)Instructions burned: 28 (million)
% 0.88/0.45 % (1366148)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1450442082:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.88/0.45 % (1366147)Instruction limit reached!
% 0.88/0.45 % (1366147)------------------------------
% 0.88/0.45 % (1366147)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.45 % (1366147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.45 % (1366147)CaDiCaL version: 2.1.3
% 0.88/0.45 % (1366147)Termination reason: Instruction limit
% 0.88/0.45 % (1366147)Termination phase: Saturation
% 0.88/0.45 % (1366147)Time elapsed: 0.002 s
% 0.88/0.45 % (1366147)Peak memory usage: 12 MB
% 0.88/0.45 % (1366147)Instructions burned: 3 (million)
% 0.88/0.45 % (1366151)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=805673218:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.88/0.45 % (1366146)lrs+10_1_si=on:cs=on:random_seed=1139296104:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.88/0.45 % (1366146)Instruction limit reached!
% 0.88/0.45 % (1366146)------------------------------
% 0.88/0.45 % (1366146)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.45 % (1366146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.45 % (1366146)CaDiCaL version: 2.1.3
% 0.88/0.45 % (1366146)Termination reason: Instruction limit
% 0.88/0.45 % (1366146)Termination phase: Saturation
% 0.88/0.45 % (1366146)Time elapsed: 0.005 s
% 0.88/0.45 % (1366146)Peak memory usage: 11 MB
% 0.88/0.45 % (1366146)Instructions burned: 10 (million)
% 0.88/0.45 % (1366154)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1559145030:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.88/0.45 % (1366148)Instruction limit reached!
% 0.88/0.45 % (1366148)------------------------------
% 0.88/0.45 % (1366148)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.45 % (1366148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.45 % (1366148)CaDiCaL version: 2.1.3
% 0.88/0.45 % (1366148)Termination reason: Instruction limit
% 0.88/0.45 % (1366148)Termination phase: Saturation
% 0.88/0.45 % (1366148)Time elapsed: 0.020 s
% 0.88/0.45 % (1366148)Peak memory usage: 12 MB
% 0.88/0.45 % (1366148)Instructions burned: 38 (million)
% 0.88/0.45 % (1366128)Instruction limit reached!
% 0.88/0.45 % (1366128)------------------------------
% 0.88/0.45 % (1366128)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.45 % (1366128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.45 % (1366128)CaDiCaL version: 2.1.3
% 0.88/0.45 % (1366128)Termination reason: Instruction limit
% 0.88/0.45 % (1366128)Termination phase: Saturation
% 0.88/0.45 % (1366128)Time elapsed: 0.084 s
% 0.88/0.45 % (1366128)Peak memory usage: 13 MB
% 0.88/0.45 % (1366128)Instructions burned: 158 (million)
% 0.88/0.45 % (1366158)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1540552150:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.88/0.45 % (1366154)Instruction limit reached!
% 0.88/0.45 % (1366154)------------------------------
% 0.88/0.45 % (1366154)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.45 % (1366154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.45 % (1366154)CaDiCaL version: 2.1.3
% 0.88/0.45 % (1366154)Termination reason: Instruction limit
% 0.88/0.45 % (1366154)Termination phase: Saturation
% 0.88/0.45 % (1366154)Time elapsed: 0.015 s
% 0.88/0.45 % (1366154)Peak memory usage: 12 MB
% 0.88/0.45 % (1366154)Instructions burned: 25 (million)
% 0.88/0.45 % (1366156)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2667889764:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.88/0.45 % (1366160)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2919044177:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.88/0.45 % (1366161)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1676675819: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)
% 0.88/0.45 % (1366161)Instruction limit reached!
% 0.88/0.45 % (1366161)------------------------------
% 0.88/0.45 % (1366161)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.45 % (1366161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.45 % (1366161)CaDiCaL version: 2.1.3
% 0.88/0.45 % (1366161)Termination reason: Instruction limit
% 0.88/0.45 % (1366161)Termination phase: Saturation
% 0.88/0.45 % (1366161)Time elapsed: 0.002 s
% 0.88/0.45 % (1366161)Peak memory usage: 11 MB
% 0.88/0.45 % (1366161)Instructions burned: 3 (million)
% 0.88/0.45 % (1366160)Instruction limit reached!
% 0.88/0.45 % (1366160)------------------------------
% 0.88/0.45 % (1366160)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.45 % (1366160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.45 % (1366160)CaDiCaL version: 2.1.3
% 0.88/0.45 % (1366160)Termination reason: Instruction limit
% 0.88/0.45 % (1366160)Termination phase: Saturation
% 0.88/0.45 % (1366160)Time elapsed: 0.009 s
% 0.88/0.45 % (1366160)Peak memory usage: 12 MB
% 0.88/0.45 % (1366160)Instructions burned: 16 (million)
% 0.88/0.45 % (1366156)Instruction limit reached!
% 0.88/0.45 % (1366156)------------------------------
% 0.88/0.45 % (1366156)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.45 % (1366156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.45 % (1366156)CaDiCaL version: 2.1.3
% 0.88/0.45 % (1366156)Termination reason: Instruction limit
% 0.88/0.45 % (1366156)Termination phase: Saturation
% 0.88/0.45 % (1366156)Time elapsed: 0.013 s
% 0.88/0.45 % (1366156)Peak memory usage: 12 MB
% 0.88/0.45 % (1366156)Instructions burned: 14 (million)
% 0.88/0.45 % (1366163)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=917223331:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.88/0.45 % (1366167)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=188902082:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.88/0.45 % (1366169)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
% 0.88/0.45 % (1366169)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.88/0.45 % (1366151)Instruction limit reached!
% 0.88/0.45 % (1366151)------------------------------
% 0.88/0.45 % (1366151)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.45 % (1366151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.45 % (1366151)CaDiCaL version: 2.1.3
% 0.88/0.45 % (1366151)Termination reason: Instruction limit
% 0.88/0.45 % (1366151)Termination phase: Saturation
% 0.88/0.45 % (1366151)Time elapsed: 0.066 s
% 0.88/0.45 % (1366151)Peak memory usage: 12 MB
% 0.88/0.45 % (1366151)Instructions burned: 253 (million)
% 0.88/0.45 % (1366163)Instruction limit reached!
% 0.88/0.45 % (1366163)------------------------------
% 0.88/0.45 % (1366163)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.45 % (1366163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.45 % (1366163)CaDiCaL version: 2.1.3
% 0.88/0.45 % (1366163)Termination reason: Instruction limit
% 0.88/0.45 % (1366163)Termination phase: Saturation
% 0.88/0.45 % (1366163)Time elapsed: 0.015 s
% 0.88/0.45 % (1366163)Peak memory usage: 12 MB
% 0.88/0.45 % (1366163)Instructions burned: 26 (million)
% 0.88/0.45 % (1366168)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=359745253:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 0.88/0.45 % (1366169)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=941715438:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.88/0.45 % (1366172)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 0.88/0.45 % (1366167)Instruction limit reached!
% 0.88/0.45 % (1366167)------------------------------
% 0.88/0.45 % (1366167)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.45 % (1366167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.45 % (1366167)CaDiCaL version: 2.1.3
% 0.88/0.45 % (1366167)Termination reason: Instruction limit
% 0.88/0.45 % (1366167)Termination phase: Saturation
% 0.88/0.45 % (1366167)Time elapsed: 0.012 s
% 0.88/0.45 % (1366167)Peak memory usage: 11 MB
% 0.88/0.45 % (1366167)Instructions burned: 23 (million)
% 0.88/0.45 % (1366169)Instruction limit reached!
% 0.88/0.45 % (1366169)------------------------------
% 0.88/0.45 % (1366169)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.45 % (1366169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.45 % (1366169)CaDiCaL version: 2.1.3
% 0.88/0.45 % (1366169)Termination reason: Instruction limit
% 0.88/0.45 % (1366169)Termination phase: Saturation
% 0.88/0.45 % (1366169)Time elapsed: 0.008 s
% 0.88/0.45 % (1366169)Peak memory usage: 12 MB
% 0.88/0.45 % (1366169)Instructions burned: 14 (million)
% 0.88/0.45 % (1366172)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=2715532880:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 0.88/0.45 % (1366172)Instruction limit reached!
% 0.88/0.45 % (1366172)------------------------------
% 0.88/0.45 % (1366172)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.45 % (1366172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.45 % (1366172)CaDiCaL version: 2.1.3
% 0.88/0.45 % (1366172)Termination reason: Instruction limit
% 0.88/0.45 % (1366172)Termination phase: Saturation
% 0.88/0.45 % (1366172)Time elapsed: 0.003 s
% 0.88/0.45 % (1366172)Peak memory usage: 12 MB
% 0.88/0.45 % (1366172)Instructions burned: 10 (million)
% 0.88/0.45 % (1366174)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=2686770300:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 0.88/0.45 % (1366168) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1366117-1366168"...
% 0.88/0.45 % (1366179)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3949995196:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 0.88/0.45 % (1366168)...printing done.
% 0.88/0.45 % (1366168)Refutation found. Thanks to Tanya!
% 0.88/0.45 % SZS status Theorem for theBenchmark
% 0.88/0.45 % SZS output start Proof for theBenchmark
% 0.88/0.45 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.88/0.45 thf(func_def_0, type, in: ($i > $i > $o)).
% 0.88/0.45 thf(func_def_2, type, setadjoin: ($i > $i > $i)).
% 0.88/0.45 thf(func_def_3, type, foundationAx: $o).
% 0.88/0.45 thf(func_def_5, type, setadjoinIL: $o).
% 0.88/0.45 thf(func_def_6, type, setadjoinIR: $o).
% 0.88/0.45 thf(func_def_7, type, in__Cong: $o).
% 0.88/0.45 thf(func_def_8, type, upairset2E: $o).
% 0.88/0.45 thf(func_def_18, type, sK7: ($i > $i)).
% 0.88/0.45 thf(func_def_19, type, sK8: ($i > $i)).
% 0.88/0.45 thf(func_def_29, type, sF18: $o).
% 0.88/0.45 thf(func_def_30, type, sF19: $o).
% 0.88/0.45 thf(func_def_31, type, vNOT: ($o > $o)).
% 0.88/0.45 thf(f1,axiom,(
% 0.88/0.45 (foundationAx = ! [X0 : $i] : (? [X1 : $i] : (in @ X1 @ X0) => ? [X2 : $i] : (~ ? [X1 : $i] : ((in @ X1 @ X2) & (in @ X1 @ X0)) & (in @ X2 @ X0))))),
% 0.88/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',foundationAx)).
% 0.88/0.45 thf(f2,axiom,(
% 0.88/0.45 (setadjoinIL = ! [X0 : $i,X1 : $i] : (in @ X0 @ (setadjoin @ X0 @ X1)))),
% 0.88/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',setadjoinIL)).
% 0.88/0.45 thf(f3,axiom,(
% 0.88/0.45 (setadjoinIR = ! [X2 : $i,X0 : $i,X1 : $i] : ((in @ X2 @ X1) => (in @ X2 @ (setadjoin @ X0 @ X1))))),
% 0.88/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',setadjoinIR)).
% 0.88/0.45 thf(f5,axiom,(
% 0.88/0.45 (! [X2 : $i,X0 : $i,X1 : $i] : ((in @ X2 @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset))) => ((X2 = X1) | (X2 = X0))) = upairset2E)),
% 0.88/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',upairset2E)).
% 0.88/0.45 thf(f6,conjecture,(
% 0.88/0.45 foundationAx => (setadjoinIL => (setadjoinIR => (in__Cong => (upairset2E => ! [X0 : $i,X1 : $i] : ((in @ X0 @ X1) => ~(in @ X1 @ X0))))))),
% 0.88/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',notinself2)).
% 0.88/0.45 thf(f7,negated_conjecture,(
% 0.88/0.45 ~(foundationAx => (setadjoinIL => (setadjoinIR => (in__Cong => (upairset2E => ! [X0 : $i,X1 : $i] : ((in @ X0 @ X1) => ~(in @ X1 @ X0)))))))),
% 0.88/0.45 inference(negated_conjecture,[status(cth)],[f6])).
% 0.88/0.45 thf(f8,plain,(
% 0.88/0.45 (setadjoinIL = ! [X0 : $i,X1 : $i] : (in @ X0 @ (setadjoin @ X0 @ X1)))),
% 0.88/0.45 inference(rectify,[],[f2])).
% 0.88/0.45 thf(f9,plain,(
% 0.88/0.45 (setadjoinIL = $true) <=> ! [X0 : $i,X1 : $i] : (((in @ X0 @ (setadjoin @ X0 @ X1))) = $true)),
% 0.88/0.45 inference(fool_elimination,[],[f8])).
% 0.88/0.45 thf(f10,plain,(
% 0.88/0.45 (foundationAx = ! [X0 : $i] : (? [X1 : $i] : (in @ X1 @ X0) => ? [X2 : $i] : (~ ? [X3 : $i] : ((in @ X3 @ X2) & (in @ X3 @ X0)) & (in @ X2 @ X0))))),
% 0.88/0.45 inference(rectify,[],[f1])).
% 0.88/0.45 thf(f11,plain,(
% 0.88/0.45 (foundationAx = $true) <=> ! [X0 : $i] : (? [X1 : $i] : (((in @ X1 @ X0)) = $true) => ? [X2 : $i] : ((((in @ X2 @ X0)) = $true) & ~ ? [X3 : $i] : ((((in @ X3 @ X0)) = $true) & ($true = ((in @ X3 @ X2))))))),
% 0.88/0.45 inference(fool_elimination,[],[f10])).
% 0.88/0.45 thf(f12,plain,(
% 0.88/0.45 (setadjoinIR = ! [X0 : $i,X1 : $i,X2 : $i] : ((in @ X0 @ X2) => (in @ X0 @ (setadjoin @ X1 @ X2))))),
% 0.88/0.45 inference(rectify,[],[f3])).
% 0.88/0.45 thf(f13,plain,(
% 0.88/0.45 ! [X1 : $i,X0 : $i,X2 : $i] : (($true = ((in @ X0 @ X2))) => ($true = ((in @ X0 @ (setadjoin @ X1 @ X2))))) <=> (setadjoinIR = $true)),
% 0.88/0.45 inference(fool_elimination,[],[f12])).
% 0.88/0.45 thf(f14,plain,(
% 0.88/0.45 (! [X0 : $i,X1 : $i,X2 : $i] : ((in @ X0 @ (setadjoin @ X1 @ (setadjoin @ X2 @ emptyset))) => ((X0 = X2) | (X0 = X1))) = upairset2E)),
% 0.88/0.45 inference(rectify,[],[f5])).
% 0.88/0.45 thf(f15,plain,(
% 0.88/0.45 (upairset2E = $true) <=> ! [X1 : $i,X0 : $i,X2 : $i] : (($true = ((in @ X0 @ (setadjoin @ X1 @ (setadjoin @ X2 @ emptyset))))) => ((X0 = X1) | (X0 = X2)))),
% 0.88/0.45 inference(fool_elimination,[],[f14])).
% 0.88/0.45 thf(f16,plain,(
% 0.88/0.45 ~(foundationAx => (setadjoinIL => (setadjoinIR => (in__Cong => (upairset2E => ! [X0 : $i,X1 : $i] : ((in @ X0 @ X1) => ~(in @ X1 @ X0)))))))),
% 0.88/0.45 inference(rectify,[],[f7])).
% 0.88/0.45 thf(f17,plain,(
% 0.88/0.45 ~((foundationAx = $true) => ((setadjoinIL = $true) => ((setadjoinIR = $true) => ((in__Cong = $true) => ((upairset2E = $true) => ! [X0 : $i,X1 : $i] : ((((in @ X0 @ X1)) = $true) => ~ (((in @ X1 @ X0)) = $true)))))))),
% 0.88/0.45 inference(fool_elimination,[],[f16])).
% 0.88/0.45 thf(f20,plain,(
% 0.88/0.45 ~((foundationAx = $true) => ((setadjoinIL = $true) => ((setadjoinIR = $true) => ((in__Cong = $true) => ((upairset2E = $true) => ! [X1 : $i,X0 : $i] : ((((in @ X0 @ X1)) = $true) => (((in @ X1 @ X0)) != $true)))))))),
% 0.88/0.45 inference(flattening,[],[f17])).
% 0.88/0.45 thf(f21,plain,(
% 0.88/0.45 (upairset2E = $true) <=> ! [X1 : $i,X0 : $i,X2 : $i] : (((X0 = X1) | (X0 = X2)) | ($true != ((in @ X0 @ (setadjoin @ X1 @ (setadjoin @ X2 @ emptyset))))))),
% 0.88/0.45 inference(ennf_transformation,[],[f15])).
% 0.88/0.45 thf(f22,plain,(
% 0.88/0.45 ! [X2 : $i,X1 : $i,X0 : $i] : ((X0 = X1) | ($true != ((in @ X0 @ (setadjoin @ X1 @ (setadjoin @ X2 @ emptyset))))) | (X0 = X2)) <=> (upairset2E = $true)),
% 0.88/0.45 inference(flattening,[],[f21])).
% 0.88/0.45 thf(f24,plain,(
% 0.88/0.45 ! [X2 : $i,X0 : $i,X1 : $i] : (($true != ((in @ X0 @ X2))) | ($true = ((in @ X0 @ (setadjoin @ X1 @ X2))))) <=> (setadjoinIR = $true)),
% 0.88/0.45 inference(ennf_transformation,[],[f13])).
% 0.88/0.45 thf(f25,plain,(
% 0.88/0.45 ((((? [X1 : $i,X0 : $i] : ((((in @ X1 @ X0)) = $true) & (((in @ X0 @ X1)) = $true)) & (upairset2E = $true)) & (in__Cong = $true)) & (setadjoinIR = $true)) & (setadjoinIL = $true)) & (foundationAx = $true)),
% 0.88/0.45 inference(ennf_transformation,[],[f20])).
% 0.88/0.45 thf(f26,plain,(
% 0.88/0.45 ? [X1 : $i,X0 : $i] : ((((in @ X1 @ X0)) = $true) & (((in @ X0 @ X1)) = $true)) & (setadjoinIR = $true) & (in__Cong = $true) & (foundationAx = $true) & (setadjoinIL = $true) & (upairset2E = $true)),
% 0.88/0.45 inference(flattening,[],[f25])).
% 0.88/0.45 thf(f27,plain,(
% 0.88/0.45 (foundationAx = $true) <=> ! [X0 : $i] : (! [X1 : $i] : (((in @ X1 @ X0)) != $true) | ? [X2 : $i] : (! [X3 : $i] : (($true != ((in @ X3 @ X2))) | (((in @ X3 @ X0)) != $true)) & (((in @ X2 @ X0)) = $true)))),
% 0.88/0.45 inference(ennf_transformation,[],[f11])).
% 0.88/0.45 thf(f28,plain,(
% 0.88/0.45 ? [X0 : $i,X1 : $i] : ((((in @ X0 @ X1)) = $true) & (((in @ X1 @ X0)) = $true)) & (setadjoinIR = $true) & (in__Cong = $true) & (foundationAx = $true) & (setadjoinIL = $true) & (upairset2E = $true)),
% 0.88/0.45 inference(rectify,[],[f26])).
% 0.88/0.45 thf(f29,plain,(
% 0.88/0.45 ((((in @ sK0 @ sK1)) = $true) & ($true = ((in @ sK1 @ sK0)))) & (setadjoinIR = $true) & (in__Cong = $true) & (foundationAx = $true) & (setadjoinIL = $true) & (upairset2E = $true)),
% 0.88/0.45 inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f28])).
% 0.88/0.45 thf(f30,plain,(
% 0.88/0.45 (! [X2 : $i,X0 : $i,X1 : $i] : (($true != ((in @ X0 @ X2))) | ($true = ((in @ X0 @ (setadjoin @ X1 @ X2))))) | (setadjoinIR != $true)) & ((setadjoinIR = $true) | ? [X2 : $i,X0 : $i,X1 : $i] : (($true = ((in @ X0 @ X2))) & ($true != ((in @ X0 @ (setadjoin @ X1 @ X2))))))),
% 0.88/0.45 inference(nnf_transformation,[],[f24])).
% 0.88/0.45 thf(f31,plain,(
% 0.88/0.45 (! [X0 : $i,X1 : $i,X2 : $i] : ((((in @ X1 @ X0)) != $true) | (((in @ X1 @ (setadjoin @ X2 @ X0))) = $true)) | (setadjoinIR != $true)) & ((setadjoinIR = $true) | ? [X3 : $i,X4 : $i,X5 : $i] : (($true = ((in @ X4 @ X3))) & (((in @ X4 @ (setadjoin @ X5 @ X3))) != $true)))),
% 0.88/0.45 inference(rectify,[],[f30])).
% 0.88/0.45 thf(f32,plain,(
% 0.88/0.45 (! [X0 : $i,X1 : $i,X2 : $i] : ((((in @ X1 @ X0)) != $true) | (((in @ X1 @ (setadjoin @ X2 @ X0))) = $true)) | (setadjoinIR != $true)) & ((setadjoinIR = $true) | ((((in @ sK3 @ sK2)) = $true) & ($true != ((in @ sK3 @ (setadjoin @ sK4 @ sK2))))))),
% 0.88/0.45 inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4]),skolemize(X3,sK2),skolemize(X4,sK3),skolemize(X5,sK4)],[f31])).
% 0.88/0.45 thf(f33,plain,(
% 0.88/0.45 ((foundationAx = $true) | ? [X0 : $i] : (? [X1 : $i] : (((in @ X1 @ X0)) = $true) & ! [X2 : $i] : (? [X3 : $i] : (($true = ((in @ X3 @ X2))) & (((in @ X3 @ X0)) = $true)) | (((in @ X2 @ X0)) != $true)))) & (! [X0 : $i] : (! [X1 : $i] : (((in @ X1 @ X0)) != $true) | ? [X2 : $i] : (! [X3 : $i] : (($true != ((in @ X3 @ X2))) | (((in @ X3 @ X0)) != $true)) & (((in @ X2 @ X0)) = $true))) | (foundationAx != $true))),
% 0.88/0.45 inference(nnf_transformation,[],[f27])).
% 0.88/0.45 thf(f34,plain,(
% 0.88/0.45 ((foundationAx = $true) | ? [X0 : $i] : (? [X1 : $i] : (((in @ X1 @ X0)) = $true) & ! [X2 : $i] : (? [X3 : $i] : (($true = ((in @ X3 @ X2))) & (((in @ X3 @ X0)) = $true)) | (((in @ X2 @ X0)) != $true)))) & (! [X4 : $i] : (! [X5 : $i] : (((in @ X5 @ X4)) != $true) | ? [X6 : $i] : (! [X7 : $i] : ((((in @ X7 @ X6)) != $true) | (((in @ X7 @ X4)) != $true)) & (((in @ X6 @ X4)) = $true))) | (foundationAx != $true))),
% 0.88/0.45 inference(rectify,[],[f33])).
% 0.88/0.45 thf(f35,plain,(
% 0.88/0.45 ((foundationAx = $true) | (($true = ((in @ sK6 @ sK5))) & ! [X2 : $i] : (((((in @ (sK7 @ X2) @ X2)) = $true) & (((in @ (sK7 @ X2) @ sK5)) = $true)) | (((in @ X2 @ sK5)) != $true)))) & (! [X4 : $i] : (! [X5 : $i] : (((in @ X5 @ X4)) != $true) | (! [X7 : $i] : ((((in @ X7 @ (sK8 @ X4))) != $true) | (((in @ X7 @ X4)) != $true)) & ($true = ((in @ (sK8 @ X4) @ X4))))) | (foundationAx != $true))),
% 0.88/0.45 inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6,vAPP,vAPP]),skolemize(X0,sK5),skolemize(X1,sK6),skolemize(X6,sK8 @ X4),skolemize(X6,sK8 @ X4)],[f34])).
% 0.88/0.45 thf(f36,plain,(
% 0.88/0.45 ((setadjoinIL = $true) | ? [X0 : $i,X1 : $i] : (((in @ X0 @ (setadjoin @ X0 @ X1))) != $true)) & (! [X0 : $i,X1 : $i] : (((in @ X0 @ (setadjoin @ X0 @ X1))) = $true) | (setadjoinIL != $true))),
% 0.88/0.45 inference(nnf_transformation,[],[f9])).
% 0.88/0.45 thf(f37,plain,(
% 0.88/0.45 ((setadjoinIL = $true) | ? [X0 : $i,X1 : $i] : (((in @ X0 @ (setadjoin @ X0 @ X1))) != $true)) & (! [X2 : $i,X3 : $i] : (((in @ X2 @ (setadjoin @ X2 @ X3))) = $true) | (setadjoinIL != $true))),
% 0.88/0.45 inference(rectify,[],[f36])).
% 0.88/0.45 thf(f38,plain,(
% 0.88/0.45 ((setadjoinIL = $true) | ($true != ((in @ sK9 @ (setadjoin @ sK9 @ sK10))))) & (! [X2 : $i,X3 : $i] : (((in @ X2 @ (setadjoin @ X2 @ X3))) = $true) | (setadjoinIL != $true))),
% 0.88/0.45 inference(skolemize,[status(esa),new_symbols(skolem,[sK9,sK10]),skolemize(X0,sK9),skolemize(X1,sK10)],[f37])).
% 0.88/0.45 thf(f39,plain,(
% 0.88/0.45 (! [X2 : $i,X1 : $i,X0 : $i] : ((X0 = X1) | ($true != ((in @ X0 @ (setadjoin @ X1 @ (setadjoin @ X2 @ emptyset))))) | (X0 = X2)) | (upairset2E != $true)) & ((upairset2E = $true) | ? [X2 : $i,X1 : $i,X0 : $i] : ((X0 != X1) & ($true = ((in @ X0 @ (setadjoin @ X1 @ (setadjoin @ X2 @ emptyset))))) & (X0 != X2)))),
% 0.88/0.45 inference(nnf_transformation,[],[f22])).
% 0.88/0.45 thf(f40,plain,(
% 0.88/0.45 (! [X0 : $i,X1 : $i,X2 : $i] : ((X1 = X2) | (((in @ X2 @ (setadjoin @ X1 @ (setadjoin @ X0 @ emptyset)))) != $true) | (X0 = X2)) | (upairset2E != $true)) & ((upairset2E = $true) | ? [X3 : $i,X4 : $i,X5 : $i] : ((X4 != X5) & ($true = ((in @ X5 @ (setadjoin @ X4 @ (setadjoin @ X3 @ emptyset))))) & (X3 != X5)))),
% 0.88/0.45 inference(rectify,[],[f39])).
% 0.88/0.45 thf(f41,plain,(
% 0.88/0.45 (! [X0 : $i,X1 : $i,X2 : $i] : ((X1 = X2) | (((in @ X2 @ (setadjoin @ X1 @ (setadjoin @ X0 @ emptyset)))) != $true) | (X0 = X2)) | (upairset2E != $true)) & ((upairset2E = $true) | ((sK12 != sK13) & ($true = ((in @ sK13 @ (setadjoin @ sK12 @ (setadjoin @ sK11 @ emptyset))))) & (sK11 != sK13)))),
% 0.88/0.45 inference(skolemize,[status(esa),new_symbols(skolem,[sK11,sK12,sK13]),skolemize(X3,sK11),skolemize(X4,sK12),skolemize(X5,sK13)],[f40])).
% 0.88/0.45 thf(f45,plain,(
% 0.88/0.45 (upairset2E = $true)),
% 0.88/0.45 inference(cnf_transformation,[],[f29])).
% 0.88/0.45 thf(f46,plain,(
% 0.88/0.45 (setadjoinIL = $true)),
% 0.88/0.45 inference(cnf_transformation,[],[f29])).
% 0.88/0.45 thf(f47,plain,(
% 0.88/0.45 (foundationAx = $true)),
% 0.88/0.45 inference(cnf_transformation,[],[f29])).
% 0.88/0.45 thf(f49,plain,(
% 0.88/0.45 (setadjoinIR = $true)),
% 0.88/0.45 inference(cnf_transformation,[],[f29])).
% 0.88/0.45 thf(f50,plain,(
% 0.88/0.45 ($true = ((in @ sK1 @ sK0)))),
% 0.88/0.45 inference(cnf_transformation,[],[f29])).
% 0.88/0.45 thf(f51,plain,(
% 0.88/0.45 (((in @ sK0 @ sK1)) = $true)),
% 0.88/0.45 inference(cnf_transformation,[],[f29])).
% 0.88/0.45 thf(f54,plain,(
% 0.88/0.45 ( ! [X2 : $i,X0 : $i,X1 : $i] : ((setadjoinIR != $true) | (((in @ X1 @ (setadjoin @ X2 @ X0))) = $true) | (((in @ X1 @ X0)) != $true)) )),
% 0.88/0.45 inference(cnf_transformation,[],[f32])).
% 0.88/0.45 thf(f55,plain,(
% 0.88/0.45 ( ! [X4 : $i,X5 : $i] : (($true = ((in @ (sK8 @ X4) @ X4))) | (foundationAx != $true) | (((in @ X5 @ X4)) != $true)) )),
% 0.88/0.45 inference(cnf_transformation,[],[f35])).
% 0.88/0.45 thf(f56,plain,(
% 0.88/0.45 ( ! [X7 : $i,X4 : $i,X5 : $i] : ((((in @ X5 @ X4)) != $true) | (((in @ X7 @ (sK8 @ X4))) != $true) | (((in @ X7 @ X4)) != $true) | (foundationAx != $true)) )),
% 0.88/0.45 inference(cnf_transformation,[],[f35])).
% 0.88/0.45 thf(f60,plain,(
% 0.88/0.45 ( ! [X2 : $i,X3 : $i] : ((((in @ X2 @ (setadjoin @ X2 @ X3))) = $true) | (setadjoinIL != $true)) )),
% 0.88/0.45 inference(cnf_transformation,[],[f38])).
% 0.88/0.45 thf(f65,plain,(
% 0.88/0.45 ( ! [X2 : $i,X0 : $i,X1 : $i] : ((((in @ X2 @ (setadjoin @ X1 @ (setadjoin @ X0 @ emptyset)))) != $true) | (X0 = X2) | (upairset2E != $true) | (X1 = X2)) )),
% 0.88/0.45 inference(cnf_transformation,[],[f41])).
% 0.88/0.45 thf(f74,definition,(
% 0.88/0.45 (sF18 = ((in @ sK0 @ sK1)))),
% 0.88/0.45 introduced(definition,[new_symbols(definition,[sF18])],[function_definition])).
% 0.88/0.45 thf(f75,plain,(
% 0.88/0.45 (((in @ sK0 @ sK1)) = sF18)),
% 0.88/0.45 inference(reorient_equations,[],[f74])).
% 0.88/0.45 thf(f76,plain,(
% 0.88/0.45 (sF18 = $true)),
% 0.88/0.45 inference(definition_folding,[],[f51,f75])).
% 0.88/0.45 thf(f77,definition,(
% 0.88/0.45 (sF19 = ((in @ sK1 @ sK0)))),
% 0.88/0.45 introduced(definition,[new_symbols(definition,[sF19])],[function_definition])).
% 0.88/0.45 thf(f78,plain,(
% 0.88/0.45 (sF19 = $true)),
% 0.88/0.45 inference(definition_folding,[],[f50,f77])).
% 0.88/0.45 thf(f80,plain,(
% 0.88/0.45 ($false = sF19) | ($true = ((in @ sK1 @ sK0)))),
% 0.88/0.45 inference(iff_proxy_clausification,[],[f77])).
% 0.88/0.45 thf(f81,plain,(
% 0.88/0.45 ( ! [X0 : $i,X1 : $i] : ((foundationAx != $true) | (((in @ X0 @ X1)) != $true) | ($true != ((in @ X0 @ (sK8 @ X1))))) )),
% 0.88/0.45 inference(condensation,[],[f56])).
% 0.88/0.45 thf(f84,plain,(
% 0.88/0.45 (((in @ sK0 @ sK1)) = $true) | ($false = sF18)),
% 0.88/0.45 inference(iff_proxy_clausification,[],[f75])).
% 0.88/0.45 thf(f98,definition,(
% 0.88/0.45 spl20_3 <=> (setadjoinIL = $true)),
% 0.88/0.45 introduced(definition,[new_symbols(definition,[spl20_3])],[avatar_definition])).
% 0.88/0.45 thf(f107,definition,(
% 0.88/0.45 spl20_5 <=> ($false = sF19)),
% 0.88/0.45 introduced(definition,[new_symbols(definition,[spl20_5])],[avatar_definition])).
% 0.88/0.45 thf(f109,plain,(
% 0.88/0.45 ($false = sF19) | ~spl20_5),
% 0.88/0.45 inference(avatar_component_clause,[],[f107])).
% 0.88/0.45 thf(f111,definition,(
% 0.88/0.45 spl20_6 <=> ($true = ((in @ sK1 @ sK0)))),
% 0.88/0.45 introduced(definition,[new_symbols(definition,[spl20_6])],[avatar_definition])).
% 0.88/0.45 thf(f113,plain,(
% 0.88/0.45 ($true = ((in @ sK1 @ sK0))) | ~spl20_6),
% 0.88/0.45 inference(avatar_component_clause,[],[f111])).
% 0.88/0.45 thf(f114,plain,(
% 0.88/0.45 spl20_5 | spl20_6),
% 0.88/0.45 inference(avatar_split_clause,[],[f80,f111,f107])).
% 0.88/0.45 thf(f120,definition,(
% 0.88/0.45 spl20_8 <=> (sF19 = $true)),
% 0.88/0.45 introduced(definition,[new_symbols(definition,[spl20_8])],[avatar_definition])).
% 0.88/0.45 thf(f122,plain,(
% 0.88/0.45 (sF19 = $true) | ~spl20_8),
% 0.88/0.45 inference(avatar_component_clause,[],[f120])).
% 0.88/0.45 thf(f125,definition,(
% 0.88/0.45 spl20_9 <=> (foundationAx = $true)),
% 0.88/0.45 introduced(definition,[new_symbols(definition,[spl20_9])],[avatar_definition])).
% 0.88/0.45 thf(f129,definition,(
% 0.88/0.45 spl20_10 <=> ! [X0 : $i,X1 : $i] : ((((in @ X0 @ X1)) != $true) | ($true != ((in @ X0 @ (sK8 @ X1)))))),
% 0.88/0.45 introduced(definition,[new_symbols(definition,[spl20_10])],[avatar_definition])).
% 0.88/0.45 thf(f130,plain,(
% 0.88/0.45 ( ! [X0 : $i,X1 : $i] : (($true != ((in @ X0 @ (sK8 @ X1)))) | (((in @ X0 @ X1)) != $true)) ) | ~spl20_10),
% 0.88/0.45 inference(avatar_component_clause,[],[f129])).
% 0.88/0.45 thf(f131,plain,(
% 0.88/0.45 ~spl20_9 | spl20_10),
% 0.88/0.45 inference(avatar_split_clause,[],[f81,f129,f125])).
% 0.88/0.45 thf(f147,definition,(
% 0.88/0.45 spl20_14 <=> (upairset2E = $true)),
% 0.88/0.45 introduced(definition,[new_symbols(definition,[spl20_14])],[avatar_definition])).
% 0.88/0.45 thf(f155,plain,(
% 0.88/0.45 spl20_14),
% 0.88/0.45 inference(avatar_split_clause,[],[f45,f147])).
% 0.88/0.45 thf(f162,definition,(
% 0.88/0.45 spl20_17 <=> ! [X2 : $i,X0 : $i,X1 : $i] : ((((in @ X2 @ (setadjoin @ X1 @ (setadjoin @ X0 @ emptyset)))) != $true) | (X1 = X2) | (X0 = X2))),
% 0.88/0.45 introduced(definition,[new_symbols(definition,[spl20_17])],[avatar_definition])).
% 0.88/0.45 thf(f163,plain,(
% 0.88/0.45 ( ! [X2 : $i,X0 : $i,X1 : $i] : ((((in @ X2 @ (setadjoin @ X1 @ (setadjoin @ X0 @ emptyset)))) != $true) | (X0 = X2) | (X1 = X2)) ) | ~spl20_17),
% 0.88/0.45 inference(avatar_component_clause,[],[f162])).
% 0.88/0.45 thf(f164,plain,(
% 0.88/0.45 spl20_17 | ~spl20_14),
% 0.88/0.45 inference(avatar_split_clause,[],[f65,f147,f162])).
% 0.88/0.45 thf(f165,plain,(
% 0.88/0.45 spl20_3),
% 0.88/0.45 inference(avatar_split_clause,[],[f46,f98])).
% 0.88/0.45 thf(f171,definition,(
% 0.88/0.45 spl20_19 <=> (setadjoinIR = $true)),
% 0.88/0.45 introduced(definition,[new_symbols(definition,[spl20_19])],[avatar_definition])).
% 0.88/0.45 thf(f180,plain,(
% 0.88/0.45 spl20_9),
% 0.88/0.45 inference(avatar_split_clause,[],[f47,f125])).
% 0.88/0.45 thf(f182,definition,(
% 0.88/0.45 spl20_21 <=> ! [X2 : $i,X0 : $i,X1 : $i] : ((((in @ X1 @ (setadjoin @ X2 @ X0))) = $true) | (((in @ X1 @ X0)) != $true))),
% 0.88/0.45 introduced(definition,[new_symbols(definition,[spl20_21])],[avatar_definition])).
% 0.88/0.45 thf(f183,plain,(
% 0.88/0.45 ( ! [X2 : $i,X0 : $i,X1 : $i] : ((((in @ X1 @ (setadjoin @ X2 @ X0))) = $true) | (((in @ X1 @ X0)) != $true)) ) | ~spl20_21),
% 0.88/0.45 inference(avatar_component_clause,[],[f182])).
% 0.88/0.45 thf(f184,plain,(
% 0.88/0.45 ~spl20_19 | spl20_21),
% 0.88/0.45 inference(avatar_split_clause,[],[f54,f182,f171])).
% 0.88/0.45 thf(f186,definition,(
% 0.88/0.45 spl20_22 <=> ! [X4 : $i,X5 : $i] : (($true = ((in @ (sK8 @ X4) @ X4))) | (((in @ X5 @ X4)) != $true))),
% 0.88/0.45 introduced(definition,[new_symbols(definition,[spl20_22])],[avatar_definition])).
% 0.88/0.45 thf(f187,plain,(
% 0.88/0.45 ( ! [X4 : $i,X5 : $i] : (($true = ((in @ (sK8 @ X4) @ X4))) | (((in @ X5 @ X4)) != $true)) ) | ~spl20_22),
% 0.88/0.45 inference(avatar_component_clause,[],[f186])).
% 0.88/0.45 thf(f188,plain,(
% 0.88/0.45 spl20_22 | ~spl20_9),
% 0.88/0.45 inference(avatar_split_clause,[],[f55,f125,f186])).
% 0.88/0.45 thf(f194,plain,(
% 0.88/0.45 (((in @ sK0 @ sK1)) = $true) | ($false = $true)),
% 0.88/0.45 inference(forward_demodulation,[],[f84,f76])).
% 0.88/0.45 thf(f195,plain,(
% 0.88/0.45 (((in @ sK0 @ sK1)) = $true)),
% 0.88/0.45 inference(trivial_inequality_removal,[],[f194])).
% 0.88/0.45 thf(f196,plain,(
% 0.88/0.45 spl20_19),
% 0.88/0.45 inference(avatar_split_clause,[],[f49,f171])).
% 0.88/0.45 thf(f197,plain,(
% 0.88/0.45 spl20_8),
% 0.88/0.45 inference(avatar_split_clause,[],[f78,f120])).
% 0.88/0.45 thf(f199,definition,(
% 0.88/0.45 spl20_24 <=> ! [X2 : $i,X3 : $i] : (((in @ X2 @ (setadjoin @ X2 @ X3))) = $true)),
% 0.88/0.45 introduced(definition,[new_symbols(definition,[spl20_24])],[avatar_definition])).
% 0.88/0.45 thf(f200,plain,(
% 0.88/0.45 ( ! [X2 : $i,X3 : $i] : ((((in @ X2 @ (setadjoin @ X2 @ X3))) = $true)) ) | ~spl20_24),
% 0.88/0.45 inference(avatar_component_clause,[],[f199])).
% 0.88/0.45 thf(f201,plain,(
% 0.88/0.45 ~spl20_3 | spl20_24),
% 0.88/0.45 inference(avatar_split_clause,[],[f60,f199,f98])).
% 0.88/0.45 thf(f226,plain,(
% 0.88/0.45 ($false = $true) | (~spl20_5 | ~spl20_8)),
% 0.88/0.45 inference(superposition,[],[f109,f122])).
% 0.88/0.45 thf(f229,plain,(
% 0.88/0.45 $false | (~spl20_5 | ~spl20_8)),
% 0.88/0.45 inference(trivial_inequality_removal,[],[f226])).
% 0.88/0.45 thf(f230,plain,(
% 0.88/0.45 ~spl20_5 | ~spl20_8),
% 0.88/0.45 inference(avatar_contradiction_clause,[],[f229])).
% 0.88/0.45 thf(f237,plain,(
% 0.88/0.45 ( ! [X2 : $i,X0 : $i,X1 : $i] : ((((sK8 @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)))) = X0) | ($true != $true) | (((sK8 @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)))) = X1) | (((in @ X2 @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)))) != $true)) ) | (~spl20_17 | ~spl20_22)),
% 0.88/0.45 inference(superposition,[],[f163,f187])).
% 0.88/0.45 thf(f240,plain,(
% 0.88/0.45 ( ! [X2 : $i,X0 : $i,X1 : $i] : ((((in @ X2 @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)))) != $true) | (((sK8 @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)))) = X1) | (((sK8 @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)))) = X0)) ) | (~spl20_17 | ~spl20_22)),
% 0.88/0.45 inference(trivial_inequality_removal,[],[f237])).
% 0.88/0.45 thf(f324,plain,(
% 0.88/0.45 ( ! [X0 : $i,X1 : $i] : (($true != $true) | (((sK8 @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)))) = X1) | (((sK8 @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)))) = X0)) ) | (~spl20_17 | ~spl20_22 | ~spl20_24)),
% 0.88/0.45 inference(superposition,[],[f240,f200])).
% 0.88/0.45 thf(f329,plain,(
% 0.88/0.45 ( ! [X0 : $i,X1 : $i] : ((((sK8 @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)))) = X1) | (((sK8 @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)))) = X0)) ) | (~spl20_17 | ~spl20_22 | ~spl20_24)),
% 0.88/0.45 inference(trivial_inequality_removal,[],[f324])).
% 0.88/0.45 thf(f335,plain,(
% 0.88/0.45 ( ! [X2 : $i,X0 : $i,X1 : $i] : ((((in @ X1 @ (setadjoin @ X2 @ (setadjoin @ X0 @ emptyset)))) != $true) | (((sK8 @ (setadjoin @ X2 @ (setadjoin @ X0 @ emptyset)))) = X2) | (((in @ X1 @ X0)) != $true)) ) | (~spl20_10 | ~spl20_17 | ~spl20_22 | ~spl20_24)),
% 0.88/0.45 inference(superposition,[],[f130,f329])).
% 0.88/0.45 thf(f445,plain,(
% 0.88/0.45 ( ! [X0 : $i,X1 : $i] : (($true != $true) | (((sK8 @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)))) = X0) | (((in @ X0 @ X1)) != $true)) ) | (~spl20_10 | ~spl20_17 | ~spl20_22 | ~spl20_24)),
% 0.88/0.45 inference(superposition,[],[f335,f200])).
% 0.88/0.45 thf(f448,plain,(
% 0.88/0.45 ( ! [X0 : $i,X1 : $i] : ((((sK8 @ (setadjoin @ X0 @ (setadjoin @ X1 @ emptyset)))) = X0) | (((in @ X0 @ X1)) != $true)) ) | (~spl20_10 | ~spl20_17 | ~spl20_22 | ~spl20_24)),
% 0.88/0.45 inference(trivial_inequality_removal,[],[f445])).
% 0.88/0.45 thf(f461,plain,(
% 0.88/0.45 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != ((in @ X1 @ (setadjoin @ X0 @ (setadjoin @ X2 @ emptyset))))) | (((in @ X1 @ X0)) != $true) | ($true != ((in @ X0 @ X2)))) ) | (~spl20_10 | ~spl20_17 | ~spl20_22 | ~spl20_24)),
% 0.88/0.45 inference(superposition,[],[f130,f448])).
% 0.88/0.45 thf(f482,plain,(
% 0.88/0.45 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != $true) | (((in @ X0 @ X1)) != $true) | (((in @ X0 @ (setadjoin @ X2 @ emptyset))) != $true) | (((in @ X1 @ X2)) != $true)) ) | (~spl20_10 | ~spl20_17 | ~spl20_21 | ~spl20_22 | ~spl20_24)),
% 0.88/0.45 inference(superposition,[],[f461,f183])).
% 0.88/0.45 thf(f487,plain,(
% 0.88/0.45 ( ! [X2 : $i,X0 : $i,X1 : $i] : ((((in @ X0 @ (setadjoin @ X2 @ emptyset))) != $true) | (((in @ X0 @ X1)) != $true) | (((in @ X1 @ X2)) != $true)) ) | (~spl20_10 | ~spl20_17 | ~spl20_21 | ~spl20_22 | ~spl20_24)),
% 0.88/0.45 inference(trivial_inequality_removal,[],[f482])).
% 0.88/0.45 thf(f488,plain,(
% 0.88/0.45 ( ! [X0 : $i,X1 : $i] : ((((in @ X0 @ X1)) != $true) | (((in @ X1 @ X0)) != $true) | ($true != $true)) ) | (~spl20_10 | ~spl20_17 | ~spl20_21 | ~spl20_22 | ~spl20_24)),
% 0.88/0.45 inference(superposition,[],[f487,f200])).
% 0.88/0.45 thf(f493,plain,(
% 0.88/0.45 ( ! [X0 : $i,X1 : $i] : ((((in @ X1 @ X0)) != $true) | (((in @ X0 @ X1)) != $true)) ) | (~spl20_10 | ~spl20_17 | ~spl20_21 | ~spl20_22 | ~spl20_24)),
% 0.88/0.45 inference(trivial_inequality_removal,[],[f488])).
% 0.88/0.45 thf(f498,plain,(
% 0.88/0.45 ($true != ((in @ sK1 @ sK0))) | ($true != $true) | (~spl20_10 | ~spl20_17 | ~spl20_21 | ~spl20_22 | ~spl20_24)),
% 0.88/0.45 inference(superposition,[],[f493,f195])).
% 0.88/0.45 thf(f504,plain,(
% 0.88/0.45 ($true != ((in @ sK1 @ sK0))) | (~spl20_10 | ~spl20_17 | ~spl20_21 | ~spl20_22 | ~spl20_24)),
% 0.88/0.45 inference(trivial_inequality_removal,[],[f498])).
% 0.88/0.45 thf(f507,plain,(
% 0.88/0.45 $false | (~spl20_6 | ~spl20_10 | ~spl20_17 | ~spl20_21 | ~spl20_22 | ~spl20_24)),
% 0.88/0.45 inference(forward_subsumption_resolution,[],[f504,f113])).
% 0.88/0.45 thf(f508,plain,(
% 0.88/0.45 ~spl20_6 | ~spl20_10 | ~spl20_17 | ~spl20_21 | ~spl20_22 | ~spl20_24),
% 0.88/0.45 inference(avatar_contradiction_clause,[],[f507])).
% 0.88/0.45 cnf(s3, plain, spl20_5 | spl20_6, inference(sat_conversion,[],[f114])).
% 0.88/0.45 cnf(s5, plain, ~spl20_9 | spl20_10, inference(sat_conversion,[],[f131])).
% 0.88/0.45 cnf(s11, plain, spl20_14, inference(sat_conversion,[],[f155])).
% 0.88/0.45 cnf(s13, plain, ~spl20_14 | spl20_17, inference(sat_conversion,[],[f164])).
% 0.88/0.45 cnf(s14, plain, spl20_3, inference(sat_conversion,[],[f165])).
% 0.88/0.45 cnf(s17, plain, spl20_9, inference(sat_conversion,[],[f180])).
% 0.88/0.45 cnf(s18, plain, ~spl20_19 | spl20_21, inference(sat_conversion,[],[f184])).
% 0.88/0.45 cnf(s19, plain, ~spl20_9 | spl20_22, inference(sat_conversion,[],[f188])).
% 0.88/0.45 cnf(s21, plain, spl20_19, inference(sat_conversion,[],[f196])).
% 0.88/0.45 cnf(s22, plain, spl20_8, inference(sat_conversion,[],[f197])).
% 0.88/0.45 cnf(s23, plain, ~spl20_3 | spl20_24, inference(sat_conversion,[],[f201])).
% 0.88/0.45 cnf(s28, plain, ~spl20_5 | ~spl20_8, inference(sat_conversion,[],[f230])).
% 0.88/0.45 cnf(s34, plain, ~spl20_6 | ~spl20_10 | ~spl20_17 | ~spl20_21 | ~spl20_22 | ~spl20_24, inference(sat_conversion,[],[f508])).
% 0.88/0.45 cnf(s35, plain, ~spl20_5, inference(rat,[],[s28,s22])).
% 0.88/0.45 cnf(s36, plain, spl20_21, inference(rat,[],[s18,s21])).
% 0.88/0.45 cnf(s37, plain, spl20_22, inference(rat,[],[s19,s17])).
% 0.88/0.45 cnf(s38, plain, spl20_24, inference(rat,[],[s23,s14])).
% 0.88/0.45 cnf(s39, plain, spl20_17, inference(rat,[],[s13,s11])).
% 0.88/0.45 cnf(s40, plain, spl20_10, inference(rat,[],[s5,s17])).
% 0.88/0.45 cnf(s41, plain, ~spl20_6, inference(rat,[],[s34,s38,s37,s36,s39,s40])).
% 0.88/0.45 cnf(s44, plain, $false, inference(rat,[],[s3,s41,s35])).
% 0.88/0.45 thf(f509,plain,(
% 0.88/0.45 $false),
% 0.88/0.45 inference(avatar_sat_refutation,[],[s44])).
% 0.88/0.45 % SZS output end Proof for theBenchmark
% 0.88/0.45 % (1366168)------------------------------
% 0.88/0.45 % (1366168)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.45 % (1366168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.45 % (1366168)CaDiCaL version: 2.1.3
% 0.88/0.45 % (1366168)Termination reason: Refutation
% 0.88/0.45 % (1366168)Time elapsed: 0.022 s
% 0.88/0.45 % (1366168)Peak memory usage: 13 MB
% 0.88/0.45 % (1366168)Instructions burned: 37 (million)
% 0.88/0.45 % (1366117)Success in time 0.191 s
% 0.88/0.45 % Vampire exiting
%------------------------------------------------------------------------------