%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO346_8 : TPTP v9.3.1. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n013.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 : Tue Sep 29 02:30:42 PM UTC 2026
% Result : Theorem 0.24s 0.33s
% Output : Refutation 0.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO346_8 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 % Computer : n013.cluster.edu
% 0.09/0.23 % Model : x86_64 x86_64
% 0.09/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.23 % Memory : 8046.5625MB
% 0.09/0.23 % OS : Linux 6.8.0-71-generic
% 0.09/0.23 % CPULimit : 300
% 0.09/0.23 % WCLimit : 300
% 0.09/0.23 % DateTime : Mon Sep 28 17:34:51 UTC 2026
% 0.09/0.24 % CPUTime :
% 0.09/0.24 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.24/0.29 Running first-order model finding
% 0.24/0.29 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.24/0.33 % (1362528)Will run a generic schedule for satisfiability detection.
% 0.24/0.33 % (1362539)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2149452565:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.24/0.33 % (1362539) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1362528-1362539"...
% 0.24/0.33 % (1362534)% WARNING: option uhcvi not known.
% 0.24/0.33 % (1362539)...printing done.
% 0.24/0.33 % (1362539)Refutation found. Thanks to Tanya!
% 0.24/0.33 % SZS status Theorem for theBenchmark
% 0.24/0.33 % SZS output start Proof for theBenchmark
% 0.24/0.33 tff(func_def_0, type, bG0: $o).
% 0.24/0.33 tff(func_def_3, type, bG1: $o).
% 0.24/0.33 tff(pred_def_2, type, cP: $o > $o).
% 0.24/0.33 tff(f1,conjecture,(
% 0.24/0.33 (cA != cB) | ~cP(cA) | cP(cB)),
% 0.24/0.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM621)).
% 0.24/0.33 tff(f2,negated_conjecture,(
% 0.24/0.33 ~((cA != cB) | ~cP(cA) | cP(cB))),
% 0.24/0.33 inference(negated_conjecture,[status(cth)],[f1])).
% 0.24/0.33 tff(f3,definition,(
% 0.24/0.33 cB <=> (bG0 = $true)),
% 0.24/0.33 introduced(definition,[new_symbols(definition,[bG0])],[fool_formula_definition])).
% 0.24/0.33 tff(f4,definition,(
% 0.24/0.33 cA <=> ($true = bG1)),
% 0.24/0.33 introduced(definition,[new_symbols(definition,[bG1])],[fool_formula_definition])).
% 0.24/0.33 tff(f5,plain,(
% 0.24/0.33 ~((cA <~> cB) | ~cP(bG1) | cP(bG0))),
% 0.24/0.33 inference(fool_elimination,[],[f2,f4,f3])).
% 0.24/0.33 tff(f6,plain,(
% 0.24/0.33 (cA <=> cB) & cP(bG1) & ~cP(bG0)),
% 0.24/0.33 inference(ennf_transformation,[],[f5])).
% 0.24/0.33 tff(f7,plain,(
% 0.24/0.33 (cA | ($true != bG1)) & (($true = bG1) | ~cA)),
% 0.24/0.33 inference(nnf_transformation,[],[f4])).
% 0.24/0.33 tff(f8,plain,(
% 0.24/0.33 (cB | (bG0 != $true)) & ((bG0 = $true) | ~cB)),
% 0.24/0.33 inference(nnf_transformation,[],[f3])).
% 0.24/0.33 tff(f9,plain,(
% 0.24/0.33 ((cA | ~cB) & (cB | ~cA)) & cP(bG1) & ~cP(bG0)),
% 0.24/0.33 inference(nnf_transformation,[],[f6])).
% 0.24/0.33 tff(f10,plain,(
% 0.24/0.33 (cA | ~cB) & (cB | ~cA) & cP(bG1) & ~cP(bG0)),
% 0.24/0.33 inference(flattening,[],[f9])).
% 0.24/0.33 tff(f11,plain,(
% 0.24/0.33 ($true = bG1) | ~cA),
% 0.24/0.33 inference(cnf_transformation,[],[f7])).
% 0.24/0.33 tff(f12,plain,(
% 0.24/0.33 cA | ($true != bG1)),
% 0.24/0.33 inference(cnf_transformation,[],[f7])).
% 0.24/0.33 tff(f13,plain,(
% 0.24/0.33 (bG0 = $true) | ~cB),
% 0.24/0.33 inference(cnf_transformation,[],[f8])).
% 0.24/0.33 tff(f14,plain,(
% 0.24/0.33 cB | (bG0 != $true)),
% 0.24/0.33 inference(cnf_transformation,[],[f8])).
% 0.24/0.33 tff(f15,plain,(
% 0.24/0.33 ~cP(bG0)),
% 0.24/0.33 inference(cnf_transformation,[],[f10])).
% 0.24/0.33 tff(f16,plain,(
% 0.24/0.33 cP(bG1)),
% 0.24/0.33 inference(cnf_transformation,[],[f10])).
% 0.24/0.33 tff(f17,plain,(
% 0.24/0.33 cB | ~cA),
% 0.24/0.33 inference(cnf_transformation,[],[f10])).
% 0.24/0.33 tff(f18,plain,(
% 0.24/0.33 cA | ~cB),
% 0.24/0.33 inference(cnf_transformation,[],[f10])).
% 0.24/0.33 tff(f20,definition,(
% 0.24/0.33 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 0.24/0.33 introduced(theory,[fool_exhaustiveness_axiom])).
% 0.24/0.33 tff(f21,plain,(
% 0.24/0.33 ~cA | ($true != bG1)),
% 0.24/0.33 inference(consistent_polarity_flipping,[],[f12])).
% 0.24/0.33 tff(f22,plain,(
% 0.24/0.33 ($true = bG1) | cA),
% 0.24/0.33 inference(consistent_polarity_flipping,[],[f11])).
% 0.24/0.33 tff(f23,plain,(
% 0.24/0.33 ~cB | (bG0 != $true)),
% 0.24/0.33 inference(consistent_polarity_flipping,[],[f14])).
% 0.24/0.33 tff(f24,plain,(
% 0.24/0.33 (bG0 = $true) | cB),
% 0.24/0.33 inference(consistent_polarity_flipping,[],[f13])).
% 0.24/0.33 tff(f25,plain,(
% 0.24/0.33 ~cA | cB),
% 0.24/0.33 inference(consistent_polarity_flipping,[],[f18])).
% 0.24/0.33 tff(f26,plain,(
% 0.24/0.33 ~cB | cA),
% 0.24/0.33 inference(consistent_polarity_flipping,[],[f17])).
% 0.24/0.33 tff(f28,definition,(
% 0.24/0.33 spl2_1 <=> cA),
% 0.24/0.33 introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition])).
% 0.24/0.33 tff(f32,definition,(
% 0.24/0.33 spl2_2 <=> cB),
% 0.24/0.33 introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition])).
% 0.24/0.33 tff(f35,plain,(
% 0.24/0.33 spl2_1 | ~spl2_2),
% 0.24/0.33 inference(avatar_split_clause,[],[f26,f32,f28])).
% 0.24/0.33 tff(f36,plain,(
% 0.24/0.33 spl2_2 | ~spl2_1),
% 0.24/0.33 inference(avatar_split_clause,[],[f25,f28,f32])).
% 0.24/0.33 tff(f38,definition,(
% 0.24/0.33 spl2_3 <=> (bG0 = $true)),
% 0.24/0.33 introduced(definition,[new_symbols(definition,[spl2_3])],[avatar_definition])).
% 0.24/0.33 tff(f39,plain,(
% 0.24/0.33 (bG0 != $true) | spl2_3),
% 0.24/0.33 inference(avatar_component_clause,[],[f38])).
% 0.24/0.33 tff(f40,plain,(
% 0.24/0.33 (bG0 = $true) | ~spl2_3),
% 0.24/0.33 inference(avatar_component_clause,[],[f38])).
% 0.24/0.33 tff(f41,plain,(
% 0.24/0.33 spl2_2 | spl2_3),
% 0.24/0.33 inference(avatar_split_clause,[],[f24,f38,f32])).
% 0.24/0.33 tff(f42,plain,(
% 0.24/0.33 ~spl2_3 | ~spl2_2),
% 0.24/0.33 inference(avatar_split_clause,[],[f23,f32,f38])).
% 0.24/0.33 tff(f44,definition,(
% 0.24/0.33 spl2_4 <=> ($true = bG1)),
% 0.24/0.33 introduced(definition,[new_symbols(definition,[spl2_4])],[avatar_definition])).
% 0.24/0.33 tff(f45,plain,(
% 0.24/0.33 ($true != bG1) | spl2_4),
% 0.24/0.33 inference(avatar_component_clause,[],[f44])).
% 0.24/0.33 tff(f46,plain,(
% 0.24/0.33 ($true = bG1) | ~spl2_4),
% 0.24/0.33 inference(avatar_component_clause,[],[f44])).
% 0.24/0.33 tff(f47,plain,(
% 0.24/0.33 spl2_1 | spl2_4),
% 0.24/0.33 inference(avatar_split_clause,[],[f22,f44,f28])).
% 0.24/0.33 tff(f48,plain,(
% 0.24/0.33 ~spl2_4 | ~spl2_1),
% 0.24/0.33 inference(avatar_split_clause,[],[f21,f28,f44])).
% 0.24/0.33 tff(f49,plain,(
% 0.24/0.33 ~cP($true) | ~spl2_3),
% 0.24/0.33 inference(superposition,[],[f15,f40])).
% 0.24/0.33 tff(f50,plain,(
% 0.24/0.33 cP($true) | ~spl2_4),
% 0.24/0.33 inference(superposition,[],[f16,f46])).
% 0.24/0.33 tff(f51,plain,(
% 0.24/0.33 $false | (~spl2_3 | ~spl2_4)),
% 0.24/0.33 inference(resolution,[],[f50,f49])).
% 0.24/0.33 tff(f52,plain,(
% 0.24/0.33 ~spl2_3 | ~spl2_4),
% 0.24/0.33 inference(avatar_contradiction_clause,[],[f51])).
% 0.24/0.33 tff(f55,plain,(
% 0.24/0.33 ($true != $true) | (bG0 = $false) | spl2_3),
% 0.24/0.33 inference(superposition,[],[f39,f20])).
% 0.24/0.33 tff(f57,plain,(
% 0.24/0.33 ($true != $true) | (bG1 = $false) | spl2_4),
% 0.24/0.33 inference(superposition,[],[f45,f20])).
% 0.24/0.33 tff(f60,plain,(
% 0.24/0.33 (bG1 = $false) | spl2_4),
% 0.24/0.33 inference(trivial_inequality_removal,[],[f57])).
% 0.24/0.33 tff(f61,plain,(
% 0.24/0.33 (bG0 = $false) | spl2_3),
% 0.24/0.33 inference(trivial_inequality_removal,[],[f55])).
% 0.24/0.33 tff(f63,definition,(
% 0.24/0.33 spl2_5 <=> (bG1 = $false)),
% 0.24/0.33 introduced(definition,[new_symbols(definition,[spl2_5])],[avatar_definition])).
% 0.24/0.33 tff(f65,plain,(
% 0.24/0.33 (bG1 = $false) | ~spl2_5),
% 0.24/0.33 inference(avatar_component_clause,[],[f63])).
% 0.24/0.33 tff(f71,plain,(
% 0.24/0.33 spl2_5 | spl2_4),
% 0.24/0.33 inference(avatar_split_clause,[],[f60,f44,f63])).
% 0.24/0.33 tff(f73,definition,(
% 0.24/0.33 spl2_7 <=> (bG0 = $false)),
% 0.24/0.33 introduced(definition,[new_symbols(definition,[spl2_7])],[avatar_definition])).
% 0.24/0.33 tff(f75,plain,(
% 0.24/0.33 (bG0 = $false) | ~spl2_7),
% 0.24/0.33 inference(avatar_component_clause,[],[f73])).
% 0.24/0.33 tff(f77,plain,(
% 0.24/0.33 spl2_7 | spl2_3),
% 0.24/0.33 inference(avatar_split_clause,[],[f61,f38,f73])).
% 0.24/0.33 tff(f81,plain,(
% 0.24/0.33 cP($false) | ~spl2_5),
% 0.24/0.33 inference(superposition,[],[f16,f65])).
% 0.24/0.33 tff(f85,plain,(
% 0.24/0.33 ~cP($false) | ~spl2_7),
% 0.24/0.33 inference(superposition,[],[f15,f75])).
% 0.24/0.33 tff(f149,plain,(
% 0.24/0.33 $false | (~spl2_5 | ~spl2_7)),
% 0.24/0.33 inference(resolution,[],[f85,f81])).
% 0.24/0.33 tff(f152,plain,(
% 0.24/0.33 ~spl2_5 | ~spl2_7),
% 0.24/0.33 inference(avatar_contradiction_clause,[],[f149])).
% 0.24/0.33 cnf(s1, plain, spl2_1 | ~spl2_2, inference(sat_conversion,[],[f35])).
% 0.24/0.33 cnf(s2, plain, ~spl2_1 | spl2_2, inference(sat_conversion,[],[f36])).
% 0.24/0.33 cnf(s3, plain, spl2_2 | spl2_3, inference(sat_conversion,[],[f41])).
% 0.24/0.33 cnf(s4, plain, ~spl2_2 | ~spl2_3, inference(sat_conversion,[],[f42])).
% 0.24/0.33 cnf(s5, plain, spl2_1 | spl2_4, inference(sat_conversion,[],[f47])).
% 0.24/0.33 cnf(s6, plain, ~spl2_1 | ~spl2_4, inference(sat_conversion,[],[f48])).
% 0.24/0.33 cnf(s7, plain, ~spl2_3 | ~spl2_4, inference(sat_conversion,[],[f52])).
% 0.24/0.33 cnf(s9, plain, spl2_4 | spl2_5, inference(sat_conversion,[],[f71])).
% 0.24/0.33 cnf(s11, plain, spl2_3 | spl2_7, inference(sat_conversion,[],[f77])).
% 0.24/0.33 cnf(s12, plain, ~spl2_5 | ~spl2_7, inference(sat_conversion,[],[f152])).
% 0.24/0.33 cnf(s13, plain, spl2_1, inference(rat,[],[s3,s7,s1,s5])).
% 0.24/0.33 cnf(s14, plain, ~spl2_4, inference(rat,[],[s6,s13])).
% 0.24/0.33 cnf(s15, plain, spl2_2, inference(rat,[],[s2,s13])).
% 0.24/0.33 cnf(s16, plain, spl2_5, inference(rat,[],[s9,s14])).
% 0.24/0.33 cnf(s17, plain, ~spl2_3, inference(rat,[],[s4,s15])).
% 0.24/0.33 cnf(s18, plain, ~spl2_7, inference(rat,[],[s12,s16])).
% 0.24/0.33 cnf(s19, plain, $false, inference(rat,[],[s11,s18,s17])).
% 0.24/0.33 tff(f153,plain,(
% 0.24/0.33 $false),
% 0.24/0.33 inference(avatar_sat_refutation,[],[s19])).
% 0.24/0.33 % SZS output end Proof for theBenchmark
% 0.24/0.33 % (1362539)------------------------------
% 0.24/0.33 % (1362539)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.24/0.33 % (1362539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/0.33 % (1362539)CaDiCaL version: 2.1.3
% 0.24/0.33 % (1362539)Termination reason: Refutation
% 0.24/0.33 % (1362539)Time elapsed: 0.004 s
% 0.24/0.33 % (1362539)Peak memory usage: 13 MB
% 0.24/0.33 % (1362539)Instructions burned: 3 (million)
% 0.24/0.33 % (1362528)Success in time 0.029 s
% 0.24/0.33 % Vampire exiting
%------------------------------------------------------------------------------