%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO019_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 : n010.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 02:29:34 PM UTC 2026
% Result : Theorem 0.08s 0.25s
% Output : Refutation 0.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO019_8 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n010.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 17:21:48 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 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
% 0.08/0.25 % (2087106)Will run a generic schedule for satisfiability detection.
% 0.08/0.25 % (2087111)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2496078136_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.25 % Detected minimum model sizes of [1]
% 0.08/0.25 % Detected maximum model sizes of [4]
% 0.08/0.25 % TRYING [1]
% 0.08/0.25 % TRYING [2]
% 0.08/0.25 % TRYING [3]
% 0.08/0.25 % TRYING [4]
% 0.08/0.25 % (2087111) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2087106-2087111"...
% 0.08/0.25 % (2087111)...printing done.
% 0.08/0.25 % (2087111)Refutation found. Thanks to Tanya!
% 0.08/0.25 % SZS status Theorem for theBenchmark
% 0.08/0.25 % SZS output start Proof for theBenchmark
% 0.08/0.25 tff(func_def_2, type, sK0: $o).
% 0.08/0.25 tff(func_def_3, type, sK1: $o).
% 0.08/0.25 tff(pred_def_1, type, sP2: $o > $o).
% 0.08/0.25 tff(pred_def_3, type, sP4: $o > $o).
% 0.08/0.25 tff(pred_def_5, type, sP6: $o > $o).
% 0.08/0.25 tff(pred_def_7, type, sP8: $o > $o).
% 0.08/0.25 tff(f1,conjecture,(
% 0.08/0.25 ! [X0 : $o,X1 : $o] : ((X0 & X1) <=> ~(~X0 | ~X1))),
% 0.08/0.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj)).
% 0.08/0.25 tff(f2,negated_conjecture,(
% 0.08/0.25 ~ ! [X0 : $o,X1 : $o] : ((X0 & X1) <=> ~(~X0 | ~X1))),
% 0.08/0.25 inference(negated_conjecture,[status(cth)],[f1])).
% 0.08/0.25 tff(f3,plain,(
% 0.08/0.25 ~ ! [X0 : $o,X1 : $o] : ((X0 & X1) <=> ~(~X0 | ~X1))),
% 0.08/0.25 inference(rectify,[],[f2])).
% 0.08/0.25 tff(f4,plain,(
% 0.08/0.25 ~ ! [X0 : $o,X1 : $o] : ((($true = X0) & ($true = X1)) <=> ~(~ ($true = X0) | ~ ($true = X1)))),
% 0.08/0.25 inference(fool_elimination,[],[f3])).
% 0.08/0.25 tff(f5,plain,(
% 0.08/0.25 ~ ! [X0 : $o,X1 : $o] : ((($true = X0) & ($true = X1)) <=> ~(($true != X0) | ($true != X1)))),
% 0.08/0.25 inference(flattening,[],[f4])).
% 0.08/0.25 tff(f6,plain,(
% 0.08/0.25 ? [X0 : $o,X1 : $o] : ((($true = X0) & ($true = X1)) <~> (($true = X0) & ($true = X1)))),
% 0.08/0.25 inference(ennf_transformation,[],[f5])).
% 0.08/0.25 tff(f7,plain,(
% 0.08/0.25 ? [X0 : $o,X1 : $o] : (((($true != X0) | ($true != X1)) | (($true != X0) | ($true != X1))) & ((($true = X0) & ($true = X1)) | (($true = X0) & ($true = X1))))),
% 0.08/0.25 inference(nnf_transformation,[],[f6])).
% 0.08/0.25 tff(f8,plain,(
% 0.08/0.25 ? [X0 : $o,X1 : $o] : ((($true != X0) | ($true != X1) | ($true != X0) | ($true != X1)) & ((($true = X0) & ($true = X1)) | (($true = X0) & ($true = X1))))),
% 0.08/0.25 inference(flattening,[],[f7])).
% 0.08/0.25 tff(f9,plain,(
% 0.08/0.25 (($true != sK0) | ($true != sK1) | ($true != sK0) | ($true != sK1)) & ((($true = sK0) & ($true = sK1)) | (($true = sK0) & ($true = sK1)))),
% 0.08/0.25 inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f8])).
% 0.08/0.25 tff(f10,plain,(
% 0.08/0.25 ($true = sK1) | ($true = sK1)),
% 0.08/0.25 inference(cnf_transformation,[],[f9])).
% 0.08/0.25 tff(f11,plain,(
% 0.08/0.25 ($true = sK1) | ($true = sK0)),
% 0.08/0.25 inference(cnf_transformation,[],[f9])).
% 0.08/0.25 tff(f12,plain,(
% 0.08/0.25 ($true = sK0) | ($true = sK1)),
% 0.08/0.25 inference(cnf_transformation,[],[f9])).
% 0.08/0.25 tff(f13,plain,(
% 0.08/0.25 ($true = sK0) | ($true = sK0)),
% 0.08/0.25 inference(cnf_transformation,[],[f9])).
% 0.08/0.25 tff(f14,plain,(
% 0.08/0.25 ($true != sK0) | ($true != sK1) | ($true != sK0) | ($true != sK1)),
% 0.08/0.25 inference(cnf_transformation,[],[f9])).
% 0.08/0.25 tff(f15,definition,(
% 0.08/0.25 ($true != $false)),
% 0.08/0.25 introduced(theory,[fool_distinctness_axiom])).
% 0.08/0.25 tff(f16,definition,(
% 0.08/0.25 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 0.08/0.25 introduced(theory,[fool_exhaustiveness_axiom])).
% 0.08/0.25 tff(f45,plain,(
% 0.08/0.25 $false),
% 0.08/0.25 inference(finite_model_not_found_(exhaustively_excluded_all_possible_domain_size_assignments),[],[f16,f15,f14,f13,f12,f11,f10])).
% 0.08/0.25 % SZS output end Proof for theBenchmark
% 0.08/0.25 % (2087111)------------------------------
% 0.08/0.25 % (2087111)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.25 % (2087111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.25 % (2087111)CaDiCaL version: 2.1.3
% 0.08/0.25 % (2087111)Termination reason: Refutation
% 0.08/0.25 % (2087111)Time elapsed: 0.001 s
% 0.08/0.25 % (2087111)Peak memory usage: 11 MB
% 0.08/0.25 % (2087111)Instructions burned: 2 (million)
% 0.08/0.25 % (2087106)Success in time 0.023 s
% 0.08/0.25 % Vampire exiting
%------------------------------------------------------------------------------