%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO042^1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 08:46:21 AM UTC 2026
% Result : Unsatisfiable 0.24s 0.32s
% Output : Refutation 0.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO042^1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 % Computer : n004.cluster.edu
% 0.08/0.21 % Model : x86_64 x86_64
% 0.08/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.21 % Memory : 8046.5625MB
% 0.08/0.21 % OS : Linux 6.8.0-71-generic
% 0.08/0.21 % CPULimit : 300
% 0.08/0.21 % WCLimit : 300
% 0.08/0.21 % DateTime : Tue Sep 29 16:24:07 UTC 2026
% 0.08/0.22 % CPUTime :
% 0.08/0.22 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.25 Running higher-order theorem proving
% 0.08/0.27 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.24/0.32 % (1507267)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.24/0.32 % (1507277)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=2879463332: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)
% 0.24/0.32 % (1507273)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=321982192:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.24/0.32 % (1507277)Refutation not found, incomplete strategy
% 0.24/0.32 % (1507277)------------------------------
% 0.24/0.32 % (1507277)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.24/0.32 % (1507277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/0.32 % (1507277)CaDiCaL version: 2.1.3
% 0.24/0.32 % (1507277)Termination reason: Refutation not found, incomplete strategy
% 0.24/0.32 % (1507277)Time elapsed: 0.002 s
% 0.24/0.32 % (1507277)Peak memory usage: 12 MB
% 0.24/0.32 % (1507277)Instructions burned: 2 (million)
% 0.24/0.32 % (1507273)Refutation not found, incomplete strategy
% 0.24/0.32 % (1507273)------------------------------
% 0.24/0.32 % (1507273)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.24/0.32 % (1507273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/0.32 % (1507273)CaDiCaL version: 2.1.3
% 0.24/0.32 % (1507273)Termination reason: Refutation not found, incomplete strategy
% 0.24/0.32 % (1507273)Time elapsed: 0.001 s
% 0.24/0.32 % (1507273)Peak memory usage: 12 MB
% 0.24/0.32 % (1507273)Instructions burned: 1 (million)
% 0.24/0.32 % (1507277)------------------------------
% 0.24/0.32 % (1507277)------------------------------
% 0.24/0.32 % (1507273)------------------------------
% 0.24/0.32 % (1507273)------------------------------
% 0.24/0.32 % (1507280)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.24/0.32 % (1507280)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
% 0.24/0.32 % (1507275)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1960927623:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.24/0.32 % (1507274)lrs+10_16_si=on:nwc=1.5:random_seed=2351421940:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.24/0.32 % (1507278)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1713823712:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.24/0.32 % (1507279)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=905589030:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.24/0.32 % (1507275)Refutation not found, incomplete strategy
% 0.24/0.32 % (1507275)------------------------------
% 0.24/0.32 % (1507275)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.24/0.32 % (1507275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/0.32 % (1507275)CaDiCaL version: 2.1.3
% 0.24/0.32 % (1507275)Termination reason: Refutation not found, incomplete strategy
% 0.24/0.32 % (1507275)Time elapsed: 0.002 s
% 0.24/0.32 % (1507275)Peak memory usage: 12 MB
% 0.24/0.32 % (1507280)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=3098968202:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.24/0.32 % (1507275)------------------------------
% 0.24/0.32 % (1507275)------------------------------
% 0.24/0.32 % (1507278)Refutation not found, incomplete strategy
% 0.24/0.32 % (1507278)------------------------------
% 0.24/0.32 % (1507278)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.24/0.32 % (1507278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/0.32 % (1507278)CaDiCaL version: 2.1.3
% 0.24/0.32 % (1507278)Termination reason: Refutation not found, incomplete strategy
% 0.24/0.32 % (1507278)Time elapsed: 0.003 s
% 0.24/0.32 % (1507278)Peak memory usage: 11 MB
% 0.24/0.32 % (1507278)Instructions burned: 2 (million)
% 0.24/0.32 % (1507274) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1507267-1507274"...
% 0.24/0.32 % (1507280)Refutation not found, incomplete strategy
% 0.24/0.32 % (1507280)------------------------------
% 0.24/0.32 % (1507280)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.24/0.32 % (1507280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/0.32 % (1507280)CaDiCaL version: 2.1.3
% 0.24/0.32 % (1507280)Termination reason: Refutation not found, incomplete strategy
% 0.24/0.32 % (1507280)Time elapsed: 0.003 s
% 0.24/0.32 % (1507280)Peak memory usage: 12 MB
% 0.24/0.32 % (1507280)Instructions burned: 2 (million)
% 0.24/0.32 % (1507278)------------------------------
% 0.24/0.32 % (1507278)------------------------------
% 0.24/0.32 % (1507279) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1507267-1507279"...
% 0.24/0.32 % (1507280)------------------------------
% 0.24/0.32 % (1507280)------------------------------
% 0.24/0.32 % (1507274)...printing done.
% 0.24/0.32 % (1507279)...printing done.
% 0.24/0.32 % (1507284)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3054623425:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.24/0.32 % (1507283)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=629473140:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.24/0.32 % (1507279)Refutation found. Thanks to Tanya!
% 0.24/0.32 % SZS status Unsatisfiable for theBenchmark
% 0.24/0.32 % SZS output start Proof for theBenchmark
% 0.24/0.32 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 0.24/0.32 thf(func_def_0, type, g: ($o > $o)).
% 0.24/0.32 thf(func_def_1, type, p: (($o > $o) > $o)).
% 0.24/0.32 thf(func_def_2, type, x: $o).
% 0.24/0.32 thf(func_def_3, type, y: $o).
% 0.24/0.32 thf(func_def_5, type, vNOT: ($o > $o)).
% 0.24/0.32 thf(func_def_9, type, sK1: $o).
% 0.24/0.32 thf(f1,axiom,(
% 0.24/0.32 (x != y) & ~(p @ ~) & (((g @ x)) = y) & (((g @ y)) = x) & (p @ g)),
% 0.24/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',4)).
% 0.24/0.32 thf(f2,plain,(
% 0.24/0.32 (x != y) & ~(p @ ~) & (((g @ x)) = y) & (((g @ y)) = x) & (p @ g)),
% 0.24/0.32 inference(rectify,[],[f1])).
% 0.24/0.32 thf(f3,plain,(
% 0.24/0.32 ((x = $true) <~> (y = $true)) & ~ (((p @ ~)) = $true) & ((y = $true) <=> (((g @ x)) = $true)) & ((((g @ y)) = $true) <=> (x = $true)) & (((p @ g)) = $true)),
% 0.24/0.32 inference(fool_elimination,[],[f2])).
% 0.24/0.32 thf(f4,plain,(
% 0.24/0.32 ((y = $true) <=> (((g @ x)) = $true)) & ((x = $true) <~> (y = $true)) & (((p @ g)) = $true) & ((((g @ y)) = $true) <=> (x = $true)) & (((p @ ~)) != $true)),
% 0.24/0.32 inference(flattening,[],[f3])).
% 0.24/0.32 thf(f5,plain,(
% 0.24/0.32 (((y = $true) | (((g @ x)) != $true)) & ((((g @ x)) = $true) | (y != $true))) & (((y != $true) | (x != $true)) & ((y = $true) | (x = $true))) & (((p @ g)) = $true) & (((((g @ y)) = $true) | (x != $true)) & ((x = $true) | (((g @ y)) != $true))) & (((p @ ~)) != $true)),
% 0.24/0.32 inference(nnf_transformation,[],[f4])).
% 0.24/0.32 thf(f6,plain,(
% 0.24/0.32 ((y = $true) | (((g @ x)) != $true)) & ((((g @ x)) = $true) | (y != $true)) & ((y != $true) | (x != $true)) & ((y = $true) | (x = $true)) & (((p @ g)) = $true) & ((((g @ y)) = $true) | (x != $true)) & ((x = $true) | (((g @ y)) != $true)) & (((p @ ~)) != $true)),
% 0.24/0.32 inference(flattening,[],[f5])).
% 0.24/0.32 thf(f7,plain,(
% 0.24/0.32 (((p @ ~)) != $true)),
% 0.24/0.32 inference(cnf_transformation,[],[f6])).
% 0.24/0.32 thf(f8,plain,(
% 0.24/0.32 (x = $true) | (((g @ y)) != $true)),
% 0.24/0.32 inference(cnf_transformation,[],[f6])).
% 0.24/0.32 thf(f9,plain,(
% 0.24/0.32 (((g @ y)) = $true) | (x != $true)),
% 0.24/0.32 inference(cnf_transformation,[],[f6])).
% 0.24/0.32 thf(f10,plain,(
% 0.24/0.32 (((p @ g)) = $true)),
% 0.24/0.32 inference(cnf_transformation,[],[f6])).
% 0.24/0.32 thf(f11,plain,(
% 0.24/0.32 (x = $true) | (y = $true)),
% 0.24/0.32 inference(cnf_transformation,[],[f6])).
% 0.24/0.32 thf(f12,plain,(
% 0.24/0.32 (y != $true) | (x != $true)),
% 0.24/0.32 inference(cnf_transformation,[],[f6])).
% 0.24/0.32 thf(f13,plain,(
% 0.24/0.32 (((g @ x)) = $true) | (y != $true)),
% 0.24/0.32 inference(cnf_transformation,[],[f6])).
% 0.24/0.32 thf(f14,plain,(
% 0.24/0.32 (y = $true) | (((g @ x)) != $true)),
% 0.24/0.32 inference(cnf_transformation,[],[f6])).
% 0.24/0.32 thf(f16,definition,(
% 0.24/0.32 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 0.24/0.32 introduced(theory,[fool_exhaustiveness_axiom])).
% 0.24/0.32 thf(f18,definition,(
% 0.24/0.32 spl0_1 <=> (((g @ x)) = $true)),
% 0.24/0.32 introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition])).
% 0.24/0.32 thf(f19,plain,(
% 0.24/0.32 (((g @ x)) != $true) | spl0_1),
% 0.24/0.32 inference(avatar_component_clause,[],[f18])).
% 0.24/0.32 thf(f21,definition,(
% 0.24/0.32 spl0_2 <=> (y = $true)),
% 0.24/0.32 introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition])).
% 0.24/0.33 thf(f22,plain,(
% 0.24/0.33 (y = $true) | ~spl0_2),
% 0.24/0.33 inference(avatar_component_clause,[],[f21])).
% 0.24/0.33 thf(f23,plain,(
% 0.24/0.33 ~spl0_1 | spl0_2),
% 0.24/0.33 inference(avatar_split_clause,[],[f14,f21,f18])).
% 0.24/0.33 thf(f24,plain,(
% 0.24/0.33 (y != $true) | spl0_2),
% 0.24/0.33 inference(avatar_component_clause,[],[f21])).
% 0.24/0.33 thf(f25,plain,(
% 0.24/0.33 (((g @ x)) = $true) | ~spl0_1),
% 0.24/0.33 inference(avatar_component_clause,[],[f18])).
% 0.24/0.33 thf(f26,plain,(
% 0.24/0.33 ~spl0_2 | spl0_1),
% 0.24/0.33 inference(avatar_split_clause,[],[f13,f18,f21])).
% 0.24/0.33 thf(f28,definition,(
% 0.24/0.33 spl0_3 <=> (x = $true)),
% 0.24/0.33 introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition])).
% 0.24/0.33 thf(f29,plain,(
% 0.24/0.33 (x != $true) | spl0_3),
% 0.24/0.33 inference(avatar_component_clause,[],[f28])).
% 0.24/0.33 thf(f30,plain,(
% 0.24/0.33 ~spl0_3 | ~spl0_2),
% 0.24/0.33 inference(avatar_split_clause,[],[f12,f21,f28])).
% 0.24/0.33 thf(f31,plain,(
% 0.24/0.33 (x = $true) | ~spl0_3),
% 0.24/0.33 inference(avatar_component_clause,[],[f28])).
% 0.24/0.33 thf(f33,definition,(
% 0.24/0.33 spl0_4 <=> (((g @ y)) = $true)),
% 0.24/0.33 introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition])).
% 0.24/0.33 thf(f34,plain,(
% 0.24/0.33 (((g @ y)) != $true) | spl0_4),
% 0.24/0.33 inference(avatar_component_clause,[],[f33])).
% 0.24/0.33 thf(f35,plain,(
% 0.24/0.33 spl0_3 | ~spl0_4),
% 0.24/0.33 inference(avatar_split_clause,[],[f8,f33,f28])).
% 0.24/0.33 thf(f36,plain,(
% 0.24/0.33 (((g @ y)) = $true) | ~spl0_4),
% 0.24/0.33 inference(avatar_component_clause,[],[f33])).
% 0.24/0.33 thf(f37,plain,(
% 0.24/0.33 ~spl0_3 | spl0_4),
% 0.24/0.33 inference(avatar_split_clause,[],[f9,f33,f28])).
% 0.24/0.33 thf(f38,plain,(
% 0.24/0.33 spl0_2 | spl0_3),
% 0.24/0.33 inference(avatar_split_clause,[],[f11,f28,f21])).
% 0.24/0.33 thf(f39,plain,(
% 0.24/0.33 ($true != ((g @ $true))) | (spl0_1 | ~spl0_3)),
% 0.24/0.33 inference(backward_demodulation,[],[f19,f31])).
% 0.24/0.33 thf(f42,plain,(
% 0.24/0.33 (y = $false) | ($true != $true) | spl0_2),
% 0.24/0.33 inference(constrained_superposition,[],[f24,f16])).
% 0.24/0.33 thf(f48,plain,(
% 0.24/0.33 (y = $false) | spl0_2),
% 0.24/0.33 inference(trivial_inequality_removal,[],[f42])).
% 0.24/0.33 thf(f54,plain,(
% 0.24/0.33 ($false = ((g @ $true))) | ($true != $true) | (spl0_1 | ~spl0_3)),
% 0.24/0.33 inference(constrained_superposition,[],[f39,f16])).
% 0.24/0.33 thf(f55,plain,(
% 0.24/0.33 ($false = ((g @ $true))) | (spl0_1 | ~spl0_3)),
% 0.24/0.33 inference(trivial_inequality_removal,[],[f54])).
% 0.24/0.33 thf(f60,plain,(
% 0.24/0.33 (((p @ ~)) = $false) | ($true != $true)),
% 0.24/0.33 inference(constrained_superposition,[],[f7,f16])).
% 0.24/0.33 thf(f61,plain,(
% 0.24/0.33 (((p @ ~)) = $false)),
% 0.24/0.33 inference(trivial_inequality_removal,[],[f60])).
% 0.24/0.33 thf(f67,plain,(
% 0.24/0.33 ($true = $false) | (g != ~)),
% 0.24/0.33 inference(constrained_superposition,[],[f61,f10])).
% 0.24/0.33 thf(f69,plain,(
% 0.24/0.33 (g != ~)),
% 0.24/0.33 inference(trivial_inequality_removal,[],[f67])).
% 0.24/0.33 thf(f72,plain,(
% 0.24/0.33 (((g @ sK1)) != ((~ sK1)))),
% 0.24/0.33 inference(negative_extensionality,[],[f69])).
% 0.24/0.33 thf(f73,plain,(
% 0.24/0.33 (((g @ sK1)) = $true) | (((~ sK1)) = $true)),
% 0.24/0.33 inference(xor_proxy_clausification,[],[f72])).
% 0.24/0.33 thf(f74,plain,(
% 0.24/0.33 (((g @ sK1)) = $false) | (((~ sK1)) = $false)),
% 0.24/0.33 inference(xor_proxy_clausification,[],[f72])).
% 0.24/0.33 thf(f75,plain,(
% 0.24/0.33 ($true = sK1) | (((g @ sK1)) = $false)),
% 0.24/0.33 inference(not_proxy_clausification,[],[f74])).
% 0.24/0.33 thf(f76,plain,(
% 0.24/0.33 ($false = sK1) | (((g @ sK1)) = $true)),
% 0.24/0.33 inference(not_proxy_clausification,[],[f73])).
% 0.24/0.33 thf(f78,definition,(
% 0.24/0.33 spl0_5 <=> ($true = sK1)),
% 0.24/0.33 introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition])).
% 0.24/0.33 thf(f79,plain,(
% 0.24/0.33 ($true = sK1) | ~spl0_5),
% 0.24/0.33 inference(avatar_component_clause,[],[f78])).
% 0.24/0.33 thf(f81,definition,(
% 0.24/0.33 spl0_6 <=> (((g @ sK1)) = $false)),
% 0.24/0.33 introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition])).
% 0.24/0.33 thf(f82,plain,(
% 0.24/0.33 (((g @ sK1)) = $false) | ~spl0_6),
% 0.24/0.33 inference(avatar_component_clause,[],[f81])).
% 0.24/0.33 thf(f83,plain,(
% 0.24/0.33 spl0_5 | spl0_6),
% 0.24/0.33 inference(avatar_split_clause,[],[f75,f81,f78])).
% 0.24/0.33 thf(f85,definition,(
% 0.24/0.33 spl0_7 <=> ($false = sK1)),
% 0.24/0.33 introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition])).
% 0.24/0.33 thf(f86,plain,(
% 0.24/0.33 ($false = sK1) | ~spl0_7),
% 0.24/0.33 inference(avatar_component_clause,[],[f85])).
% 0.24/0.33 thf(f88,definition,(
% 0.24/0.33 spl0_8 <=> (((g @ sK1)) = $true)),
% 0.24/0.33 introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition])).
% 0.24/0.33 thf(f89,plain,(
% 0.24/0.33 (((g @ sK1)) = $true) | ~spl0_8),
% 0.24/0.33 inference(avatar_component_clause,[],[f88])).
% 0.24/0.33 thf(f90,plain,(
% 0.24/0.33 spl0_7 | spl0_8),
% 0.24/0.33 inference(avatar_split_clause,[],[f76,f88,f85])).
% 0.24/0.33 thf(f91,plain,(
% 0.24/0.33 ($true = $false) | (~spl0_5 | ~spl0_7)),
% 0.24/0.33 inference(forward_demodulation,[],[f79,f86])).
% 0.24/0.33 thf(f92,plain,(
% 0.24/0.33 $false | (~spl0_5 | ~spl0_7)),
% 0.24/0.33 inference(trivial_inequality_removal,[],[f91])).
% 0.24/0.33 thf(f93,plain,(
% 0.24/0.33 ~spl0_5 | ~spl0_7),
% 0.24/0.33 inference(avatar_contradiction_clause,[],[f92])).
% 0.24/0.33 thf(f94,plain,(
% 0.24/0.33 ($true = ((g @ $true))) | (~spl0_5 | ~spl0_8)),
% 0.24/0.33 inference(forward_demodulation,[],[f89,f79])).
% 0.24/0.33 thf(f95,plain,(
% 0.24/0.33 ($true = $false) | (spl0_1 | ~spl0_3 | ~spl0_5 | ~spl0_8)),
% 0.24/0.33 inference(forward_demodulation,[],[f94,f55])).
% 0.24/0.33 thf(f96,plain,(
% 0.24/0.33 $false | (spl0_1 | ~spl0_3 | ~spl0_5 | ~spl0_8)),
% 0.24/0.33 inference(trivial_inequality_removal,[],[f95])).
% 0.24/0.33 thf(f97,plain,(
% 0.24/0.33 spl0_1 | ~spl0_3 | ~spl0_5 | ~spl0_8),
% 0.24/0.33 inference(avatar_contradiction_clause,[],[f96])).
% 0.24/0.33 thf(f98,plain,(
% 0.24/0.33 ($true != ((g @ $true))) | (~spl0_2 | spl0_4)),
% 0.24/0.33 inference(forward_demodulation,[],[f34,f22])).
% 0.24/0.33 thf(f99,plain,(
% 0.24/0.33 $false | (~spl0_2 | spl0_4 | ~spl0_5 | ~spl0_8)),
% 0.24/0.33 inference(forward_subsumption_resolution,[],[f98,f94])).
% 0.24/0.33 thf(f100,plain,(
% 0.24/0.33 ~spl0_2 | spl0_4 | ~spl0_5 | ~spl0_8),
% 0.24/0.33 inference(avatar_contradiction_clause,[],[f99])).
% 0.24/0.33 thf(f101,plain,(
% 0.24/0.33 ($true = $false) | (~spl0_6 | ~spl0_8)),
% 0.24/0.33 inference(forward_demodulation,[],[f89,f82])).
% 0.24/0.33 thf(f102,plain,(
% 0.24/0.33 $false | (~spl0_6 | ~spl0_8)),
% 0.24/0.33 inference(trivial_inequality_removal,[],[f101])).
% 0.24/0.33 thf(f103,plain,(
% 0.24/0.33 ~spl0_6 | ~spl0_8),
% 0.24/0.33 inference(avatar_contradiction_clause,[],[f102])).
% 0.24/0.33 thf(f104,plain,(
% 0.24/0.33 (((g @ $false)) = $false) | (~spl0_6 | ~spl0_7)),
% 0.24/0.33 inference(backward_demodulation,[],[f82,f86])).
% 0.24/0.33 thf(f105,plain,(
% 0.24/0.33 (x = $false) | ($true != $true) | spl0_3),
% 0.24/0.33 inference(constrained_superposition,[],[f29,f16])).
% 0.24/0.33 thf(f106,plain,(
% 0.24/0.33 (x = $false) | spl0_3),
% 0.24/0.33 inference(trivial_inequality_removal,[],[f105])).
% 0.24/0.33 thf(f107,plain,(
% 0.24/0.33 (((g @ $false)) = $true) | (~spl0_1 | spl0_3)),
% 0.24/0.33 inference(backward_demodulation,[],[f25,f106])).
% 0.24/0.33 thf(f109,plain,(
% 0.24/0.33 ($true = $false) | (~spl0_1 | spl0_3 | ~spl0_6 | ~spl0_7)),
% 0.24/0.33 inference(forward_demodulation,[],[f107,f104])).
% 0.24/0.33 thf(f110,plain,(
% 0.24/0.33 $false | (~spl0_1 | spl0_3 | ~spl0_6 | ~spl0_7)),
% 0.24/0.33 inference(trivial_inequality_removal,[],[f109])).
% 0.24/0.33 thf(f111,plain,(
% 0.24/0.33 ~spl0_1 | spl0_3 | ~spl0_6 | ~spl0_7),
% 0.24/0.33 inference(avatar_contradiction_clause,[],[f110])).
% 0.24/0.33 thf(f116,plain,(
% 0.24/0.33 (((g @ $false)) = $true) | (spl0_2 | ~spl0_4)),
% 0.24/0.33 inference(backward_demodulation,[],[f36,f48])).
% 0.24/0.33 thf(f119,plain,(
% 0.24/0.33 ($true = $false) | (spl0_2 | ~spl0_4 | ~spl0_6 | ~spl0_7)),
% 0.24/0.33 inference(forward_demodulation,[],[f116,f104])).
% 0.24/0.33 thf(f120,plain,(
% 0.24/0.33 $false | (spl0_2 | ~spl0_4 | ~spl0_6 | ~spl0_7)),
% 0.24/0.33 inference(trivial_inequality_removal,[],[f119])).
% 0.24/0.33 thf(f121,plain,(
% 0.24/0.33 spl0_2 | ~spl0_4 | ~spl0_6 | ~spl0_7),
% 0.24/0.33 inference(avatar_contradiction_clause,[],[f120])).
% 0.24/0.33 cnf(s1, plain, ~spl0_1 | spl0_2, inference(sat_conversion,[],[f23])).
% 0.24/0.33 cnf(s2, plain, spl0_1 | ~spl0_2, inference(sat_conversion,[],[f26])).
% 0.24/0.33 cnf(s3, plain, ~spl0_2 | ~spl0_3, inference(sat_conversion,[],[f30])).
% 0.24/0.33 cnf(s4, plain, spl0_3 | ~spl0_4, inference(sat_conversion,[],[f35])).
% 0.24/0.33 cnf(s5, plain, ~spl0_3 | spl0_4, inference(sat_conversion,[],[f37])).
% 0.24/0.33 cnf(s6, plain, spl0_2 | spl0_3, inference(sat_conversion,[],[f38])).
% 0.24/0.33 cnf(s7, plain, spl0_5 | spl0_6, inference(sat_conversion,[],[f83])).
% 0.24/0.33 cnf(s8, plain, spl0_7 | spl0_8, inference(sat_conversion,[],[f90])).
% 0.24/0.33 cnf(s9, plain, ~spl0_5 | ~spl0_7, inference(sat_conversion,[],[f93])).
% 0.24/0.33 cnf(s10, plain, spl0_1 | ~spl0_3 | ~spl0_5 | ~spl0_8, inference(sat_conversion,[],[f97])).
% 0.24/0.33 cnf(s11, plain, ~spl0_2 | spl0_4 | ~spl0_5 | ~spl0_8, inference(sat_conversion,[],[f100])).
% 0.24/0.33 cnf(s12, plain, ~spl0_6 | ~spl0_8, inference(sat_conversion,[],[f103])).
% 0.24/0.33 cnf(s13, plain, ~spl0_1 | spl0_3 | ~spl0_6 | ~spl0_7, inference(sat_conversion,[],[f111])).
% 0.24/0.33 cnf(s15, plain, spl0_2 | ~spl0_4 | ~spl0_6 | ~spl0_7, inference(sat_conversion,[],[f121])).
% 0.24/0.33 cnf(s16, plain, ~spl0_6 | spl0_2, inference(rat,[],[s8,s15,s12,s5,s6])).
% 0.24/0.33 cnf(s17, plain, spl0_1, inference(rat,[],[s8,s10,s9,s7,s16,s6,s2])).
% 0.24/0.33 cnf(s18, plain, spl0_2, inference(rat,[],[s1,s17])).
% 0.24/0.33 cnf(s19, plain, ~spl0_3, inference(rat,[],[s3,s18])).
% 0.24/0.33 cnf(s20, plain, ~spl0_4, inference(rat,[],[s4,s19])).
% 0.24/0.33 cnf(s21, plain, ~spl0_6, inference(rat,[],[s8,s13,s12,s19,s17])).
% 0.24/0.33 cnf(s22, plain, spl0_5, inference(rat,[],[s7,s21])).
% 0.24/0.33 cnf(s23, plain, ~spl0_7, inference(rat,[],[s9,s22])).
% 0.24/0.33 cnf(s24, plain, ~spl0_8, inference(rat,[],[s11,s20,s18,s22])).
% 0.24/0.33 cnf(s25, plain, $false, inference(rat,[],[s8,s24,s23])).
% 0.24/0.33 thf(f122,plain,(
% 0.24/0.33 $false),
% 0.24/0.33 inference(avatar_sat_refutation,[],[s25])).
% 0.24/0.33 % SZS output end Proof for theBenchmark
% 0.24/0.33 % (1507279)------------------------------
% 0.24/0.33 % (1507279)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.24/0.33 % (1507279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/0.33 % (1507279)CaDiCaL version: 2.1.3
% 0.24/0.33 % (1507279)Termination reason: Refutation
% 0.24/0.33 % (1507279)Time elapsed: 0.007 s
% 0.24/0.33 % (1507279)Peak memory usage: 13 MB
% 0.24/0.33 % (1507279)Instructions burned: 5 (million)
% 0.24/0.33 % (1507267)Success in time 0.047 s
% 0.24/0.33 % Vampire exiting
%------------------------------------------------------------------------------