%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYO180_8 : TPTP v9.3.1. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n016.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 02:30:00 PM UTC 2026
% Result : Theorem 0.11s 0.24s
% Output : Refutation 0.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO180_8 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.16 % Computer : n016.cluster.edu
% 0.11/0.16 % Model : x86_64 x86_64
% 0.11/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.16 % Memory : 8046.5625MB
% 0.11/0.16 % OS : Linux 6.8.0-71-generic
% 0.11/0.16 % CPULimit : 300
% 0.11/0.16 % WCLimit : 300
% 0.11/0.16 % DateTime : Mon Sep 28 17:36:18 UTC 2026
% 0.11/0.16 % CPUTime :
% 0.11/0.16 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.19 Running first-order model finding
% 0.11/0.19 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.24 % (3797746)Will run a generic schedule for satisfiability detection.
% 0.11/0.24 % (3797758)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1537211159_2999 on theBenchmark for (2999ds/0Mi)
% 0.11/0.24 % Detected minimum model sizes of [1]
% 0.11/0.24 % Detected maximum model sizes of [11]
% 0.11/0.24 % TRYING [1]
% 0.11/0.24 % TRYING [2]
% 0.11/0.24 % TRYING [3]
% 0.11/0.24 % TRYING [4]
% 0.11/0.24 % TRYING [5]
% 0.11/0.24 % TRYING [6]
% 0.11/0.24 % TRYING [7]
% 0.11/0.24 % TRYING [8]
% 0.11/0.24 % TRYING [9]
% 0.11/0.24 % TRYING [10]
% 0.11/0.24 % (3797759)% WARNING: option uhcvi not known.
% 0.11/0.24 % TRYING [11]
% 0.11/0.24 % (3797758) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3797746-3797758"...
% 0.11/0.24 % (3797758)...printing done.
% 0.11/0.24 % (3797758)Refutation found. Thanks to Tanya!
% 0.11/0.24 % SZS status Theorem for theBenchmark
% 0.11/0.24 % SZS output start Proof for theBenchmark
% 0.11/0.24 tff(func_def_2, type, sK0: $o).
% 0.11/0.24 tff(func_def_3, type, sK1: $o).
% 0.11/0.24 tff(func_def_4, type, sK2: $o).
% 0.11/0.24 tff(func_def_5, type, sK3: $o).
% 0.11/0.24 tff(func_def_6, type, sK4: $o).
% 0.11/0.24 tff(func_def_7, type, sK5: $o).
% 0.11/0.24 tff(func_def_8, type, sK6: $o).
% 0.11/0.24 tff(func_def_9, type, sK7: $o).
% 0.11/0.24 tff(func_def_10, type, sK8: $o).
% 0.11/0.24 tff(func_def_11, type, sK9: $o).
% 0.11/0.24 tff(func_def_12, type, sK10: $o).
% 0.11/0.24 tff(pred_def_2, type, sP12: $o > $o).
% 0.11/0.24 tff(pred_def_4, type, sP14: $o > $o).
% 0.11/0.24 tff(pred_def_10, type, sP20: $o > $o).
% 0.11/0.24 tff(pred_def_12, type, sP22: $o > $o).
% 0.11/0.24 tff(pred_def_16, type, sP26: $o > $o).
% 0.11/0.24 tff(pred_def_23, type, sP33: $o > $o).
% 0.11/0.24 tff(pred_def_25, type, sP35: $o > $o).
% 0.11/0.24 tff(pred_def_30, type, sP40: $o > $o).
% 0.11/0.24 tff(pred_def_35, type, sP45: $o > $o).
% 0.11/0.24 tff(pred_def_37, type, sP47: $o > $o).
% 0.11/0.24 tff(pred_def_41, type, sP51: $o > $o).
% 0.11/0.24 tff(pred_def_43, type, sP53: $o > $o).
% 0.11/0.24 tff(pred_def_47, type, sP57: $o > $o).
% 0.11/0.24 tff(pred_def_50, type, sP60: $o > $o).
% 0.11/0.24 tff(f1,conjecture,(
% 0.11/0.24 ! [X0 : $o,X1 : $o,X2 : $o,X3 : $o,X4 : $o,X5 : $o,X6 : $o,X7 : $o,X8 : $o,X9 : $o,X10 : $o] : ((((X0 & X1) => X2) & ((X3 & ~X4) => X2) & ((~X8 & X6 & X2) => X7) & ((~X3 & ~X1) => X4) & ((X8 & X9) => X10) & ((X4 & ~X6 & ~X7) => X1) & ((X0 & X2) => X10) & ((X5 & ~X8 & X3 & ~X6) => ~X2) & ((~X3 & ~X4) => X8) & ((X8 & X0 & X5) => ~X2) & ((X4 & X5) => ~X10) & ((X3 & ~X8 & ~X2) => ~X9) & ((X6 & ~X1 & ~X7) => X10) & ((X3 & X9 & ~X4) => ~X10) & ((X4 & ~X8 & ~X2) => X3)) => ((X5 & X0) => (X7 & ~X9)))),
% 0.11/0.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cPORKCHOP2)).
% 0.11/0.24 tff(f2,negated_conjecture,(
% 0.11/0.24 ~ ! [X0 : $o,X1 : $o,X2 : $o,X3 : $o,X4 : $o,X5 : $o,X6 : $o,X7 : $o,X8 : $o,X9 : $o,X10 : $o] : ((((X0 & X1) => X2) & ((X3 & ~X4) => X2) & ((~X8 & X6 & X2) => X7) & ((~X3 & ~X1) => X4) & ((X8 & X9) => X10) & ((X4 & ~X6 & ~X7) => X1) & ((X0 & X2) => X10) & ((X5 & ~X8 & X3 & ~X6) => ~X2) & ((~X3 & ~X4) => X8) & ((X8 & X0 & X5) => ~X2) & ((X4 & X5) => ~X10) & ((X3 & ~X8 & ~X2) => ~X9) & ((X6 & ~X1 & ~X7) => X10) & ((X3 & X9 & ~X4) => ~X10) & ((X4 & ~X8 & ~X2) => X3)) => ((X5 & X0) => (X7 & ~X9)))),
% 0.11/0.24 inference(negated_conjecture,[status(cth)],[f1])).
% 0.11/0.24 tff(f3,plain,(
% 0.11/0.24 ~ ! [X0 : $o,X1 : $o,X2 : $o,X3 : $o,X4 : $o,X5 : $o,X6 : $o,X7 : $o,X8 : $o,X9 : $o,X10 : $o] : ((((X0 & X1) => X2) & ((X3 & ~X4) => X2) & ((~X8 & X6 & X2) => X7) & ((~X3 & ~X1) => X4) & ((X8 & X9) => X10) & ((X4 & ~X6 & ~X7) => X1) & ((X0 & X2) => X10) & ((X5 & ~X8 & X3 & ~X6) => ~X2) & ((~X3 & ~X4) => X8) & ((X8 & X0 & X5) => ~X2) & ((X4 & X5) => ~X10) & ((X3 & ~X8 & ~X2) => ~X9) & ((X6 & ~X1 & ~X7) => X10) & ((X3 & X9 & ~X4) => ~X10) & ((X4 & ~X8 & ~X2) => X3)) => ((X5 & X0) => (X7 & ~X9)))),
% 0.11/0.24 inference(rectify,[],[f2])).
% 0.11/0.24 tff(f4,plain,(
% 0.11/0.24 ~ ! [X0 : $o,X1 : $o,X2 : $o,X3 : $o,X4 : $o,X5 : $o,X6 : $o,X7 : $o,X8 : $o,X9 : $o,X10 : $o] : ((((($true = X0) & ($true = X1)) => ($true = X2)) & ((($true = X3) & ~ ($true = X4)) => ($true = X2)) & ((~ ($true = X8) & ($true = X6) & ($true = X2)) => ($true = X7)) & ((~ ($true = X3) & ~ ($true = X1)) => ($true = X4)) & ((($true = X8) & ($true = X9)) => ($true = X10)) & ((($true = X4) & ~ ($true = X6) & ~ ($true = X7)) => ($true = X1)) & ((($true = X0) & ($true = X2)) => ($true = X10)) & ((($true = X5) & ~ ($true = X8) & ($true = X3) & ~ ($true = X6)) => ~ ($true = X2)) & ((~ ($true = X3) & ~ ($true = X4)) => ($true = X8)) & ((($true = X8) & ($true = X0) & ($true = X5)) => ~ ($true = X2)) & ((($true = X4) & ($true = X5)) => ~ ($true = X10)) & ((($true = X3) & ~ ($true = X8) & ~ ($true = X2)) => ~ ($true = X9)) & ((($true = X6) & ~ ($true = X1) & ~ ($true = X7)) => ($true = X10)) & ((($true = X3) & ($true = X9) & ~ ($true = X4)) => ~ ($true = X10)) & ((($true = X4) & ~ ($true = X8) & ~ ($true = X2)) => ($true = X3))) => ((($true = X5) & ($true = X0)) => (($true = X7) & ~ ($true = X9))))),
% 0.11/0.24 inference(fool_elimination,[],[f3])).
% 0.11/0.24 tff(f5,plain,(
% 0.11/0.24 ~ ! [X0 : $o,X1 : $o,X2 : $o,X3 : $o,X4 : $o,X5 : $o,X6 : $o,X7 : $o,X8 : $o,X9 : $o,X10 : $o] : ((((($true = X0) & ($true = X1)) => ($true = X2)) & ((($true = X3) & ($true != X4)) => ($true = X2)) & ((($true != X8) & ($true = X6) & ($true = X2)) => ($true = X7)) & ((($true != X3) & ($true != X1)) => ($true = X4)) & ((($true = X8) & ($true = X9)) => ($true = X10)) & ((($true = X4) & ($true != X6) & ($true != X7)) => ($true = X1)) & ((($true = X0) & ($true = X2)) => ($true = X10)) & ((($true = X5) & ($true != X8) & ($true = X3) & ($true != X6)) => ($true != X2)) & ((($true != X3) & ($true != X4)) => ($true = X8)) & ((($true = X8) & ($true = X0) & ($true = X5)) => ($true != X2)) & ((($true = X4) & ($true = X5)) => ($true != X10)) & ((($true = X3) & ($true != X8) & ($true != X2)) => ($true != X9)) & ((($true = X6) & ($true != X1) & ($true != X7)) => ($true = X10)) & ((($true = X3) & ($true = X9) & ($true != X4)) => ($true != X10)) & ((($true = X4) & ($true != X8) & ($true != X2)) => ($true = X3))) => ((($true = X5) & ($true = X0)) => (($true = X7) & ($true != X9))))),
% 0.11/0.24 inference(flattening,[],[f4])).
% 0.11/0.24 tff(f6,plain,(
% 0.11/0.24 ? [X0 : $o,X1 : $o,X2 : $o,X3 : $o,X4 : $o,X5 : $o,X6 : $o,X7 : $o,X8 : $o,X9 : $o,X10 : $o] : (((($true != X7) | ($true = X9)) & (($true = X5) & ($true = X0))) & ((($true = X2) | (($true != X0) | ($true != X1))) & (($true = X2) | (($true != X3) | ($true = X4))) & (($true = X7) | (($true = X8) | ($true != X6) | ($true != X2))) & (($true = X4) | (($true = X3) | ($true = X1))) & (($true = X10) | (($true != X8) | ($true != X9))) & (($true = X1) | (($true != X4) | ($true = X6) | ($true = X7))) & (($true = X10) | (($true != X0) | ($true != X2))) & (($true != X2) | (($true != X5) | ($true = X8) | ($true != X3) | ($true = X6))) & (($true = X8) | (($true = X3) | ($true = X4))) & (($true != X2) | (($true != X8) | ($true != X0) | ($true != X5))) & (($true != X10) | (($true != X4) | ($true != X5))) & (($true != X9) | (($true != X3) | ($true = X8) | ($true = X2))) & (($true = X10) | (($true != X6) | ($true = X1) | ($true = X7))) & (($true != X10) | (($true != X3) | ($true != X9) | ($true = X4))) & (($true = X3) | (($true != X4) | ($true = X8) | ($true = X2)))))),
% 0.11/0.24 inference(ennf_transformation,[],[f5])).
% 0.11/0.24 tff(f7,plain,(
% 0.11/0.24 ? [X0 : $o,X1 : $o,X2 : $o,X3 : $o,X4 : $o,X5 : $o,X6 : $o,X7 : $o,X8 : $o,X9 : $o,X10 : $o] : ((($true != X7) | ($true = X9)) & ($true = X5) & ($true = X0) & (($true = X2) | ($true != X0) | ($true != X1)) & (($true = X2) | ($true != X3) | ($true = X4)) & (($true = X7) | ($true = X8) | ($true != X6) | ($true != X2)) & (($true = X4) | ($true = X3) | ($true = X1)) & (($true = X10) | ($true != X8) | ($true != X9)) & (($true = X1) | ($true != X4) | ($true = X6) | ($true = X7)) & (($true = X10) | ($true != X0) | ($true != X2)) & (($true != X2) | ($true != X5) | ($true = X8) | ($true != X3) | ($true = X6)) & (($true = X8) | ($true = X3) | ($true = X4)) & (($true != X2) | ($true != X8) | ($true != X0) | ($true != X5)) & (($true != X10) | ($true != X4) | ($true != X5)) & (($true != X9) | ($true != X3) | ($true = X8) | ($true = X2)) & (($true = X10) | ($true != X6) | ($true = X1) | ($true = X7)) & (($true != X10) | ($true != X3) | ($true != X9) | ($true = X4)) & (($true = X3) | ($true != X4) | ($true = X8) | ($true = X2)))),
% 0.11/0.24 inference(flattening,[],[f6])).
% 0.11/0.24 tff(f8,plain,(
% 0.11/0.24 (($true != sK7) | ($true = sK9)) & ($true = sK5) & ($true = sK0) & (($true = sK2) | ($true != sK0) | ($true != sK1)) & (($true = sK2) | ($true != sK3) | ($true = sK4)) & (($true = sK7) | ($true = sK8) | ($true != sK6) | ($true != sK2)) & (($true = sK4) | ($true = sK3) | ($true = sK1)) & (($true = sK10) | ($true != sK8) | ($true != sK9)) & (($true = sK1) | ($true != sK4) | ($true = sK6) | ($true = sK7)) & (($true = sK10) | ($true != sK0) | ($true != sK2)) & (($true != sK2) | ($true != sK5) | ($true = sK8) | ($true != sK3) | ($true = sK6)) & (($true = sK8) | ($true = sK3) | ($true = sK4)) & (($true != sK2) | ($true != sK8) | ($true != sK0) | ($true != sK5)) & (($true != sK10) | ($true != sK4) | ($true != sK5)) & (($true != sK9) | ($true != sK3) | ($true = sK8) | ($true = sK2)) & (($true = sK10) | ($true != sK6) | ($true = sK1) | ($true = sK7)) & (($true != sK10) | ($true != sK3) | ($true != sK9) | ($true = sK4)) & (($true = sK3) | ($true != sK4) | ($true = sK8) | ($true = sK2))),
% 0.11/0.24 inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6),skolemize(X7,sK7),skolemize(X8,sK8),skolemize(X9,sK9),skolemize(X10,sK10)],[f7])).
% 0.11/0.24 tff(f9,plain,(
% 0.11/0.24 ($true = sK3) | ($true != sK4) | ($true = sK8) | ($true = sK2)),
% 0.11/0.24 inference(cnf_transformation,[],[f8])).
% 0.11/0.24 tff(f10,plain,(
% 0.11/0.24 ($true != sK10) | ($true != sK3) | ($true != sK9) | ($true = sK4)),
% 0.11/0.24 inference(cnf_transformation,[],[f8])).
% 0.11/0.24 tff(f11,plain,(
% 0.11/0.24 ($true = sK10) | ($true != sK6) | ($true = sK1) | ($true = sK7)),
% 0.11/0.24 inference(cnf_transformation,[],[f8])).
% 0.11/0.24 tff(f12,plain,(
% 0.11/0.24 ($true != sK9) | ($true != sK3) | ($true = sK8) | ($true = sK2)),
% 0.11/0.24 inference(cnf_transformation,[],[f8])).
% 0.11/0.24 tff(f13,plain,(
% 0.11/0.24 ($true != sK10) | ($true != sK4) | ($true != sK5)),
% 0.11/0.24 inference(cnf_transformation,[],[f8])).
% 0.11/0.24 tff(f14,plain,(
% 0.11/0.24 ($true != sK2) | ($true != sK8) | ($true != sK0) | ($true != sK5)),
% 0.11/0.24 inference(cnf_transformation,[],[f8])).
% 0.11/0.24 tff(f15,plain,(
% 0.11/0.24 ($true = sK8) | ($true = sK3) | ($true = sK4)),
% 0.11/0.24 inference(cnf_transformation,[],[f8])).
% 0.11/0.24 tff(f16,plain,(
% 0.11/0.24 ($true != sK2) | ($true != sK5) | ($true = sK8) | ($true != sK3) | ($true = sK6)),
% 0.11/0.24 inference(cnf_transformation,[],[f8])).
% 0.11/0.24 tff(f17,plain,(
% 0.11/0.24 ($true = sK10) | ($true != sK0) | ($true != sK2)),
% 0.11/0.24 inference(cnf_transformation,[],[f8])).
% 0.11/0.24 tff(f18,plain,(
% 0.11/0.24 ($true = sK1) | ($true != sK4) | ($true = sK6) | ($true = sK7)),
% 0.11/0.24 inference(cnf_transformation,[],[f8])).
% 0.11/0.24 tff(f19,plain,(
% 0.11/0.24 ($true = sK10) | ($true != sK8) | ($true != sK9)),
% 0.11/0.24 inference(cnf_transformation,[],[f8])).
% 0.11/0.24 tff(f20,plain,(
% 0.11/0.24 ($true = sK4) | ($true = sK3) | ($true = sK1)),
% 0.11/0.24 inference(cnf_transformation,[],[f8])).
% 0.11/0.24 tff(f21,plain,(
% 0.11/0.24 ($true = sK7) | ($true = sK8) | ($true != sK6) | ($true != sK2)),
% 0.11/0.24 inference(cnf_transformation,[],[f8])).
% 0.11/0.24 tff(f22,plain,(
% 0.11/0.24 ($true = sK2) | ($true != sK3) | ($true = sK4)),
% 0.11/0.24 inference(cnf_transformation,[],[f8])).
% 0.11/0.24 tff(f23,plain,(
% 0.11/0.24 ($true = sK2) | ($true != sK0) | ($true != sK1)),
% 0.11/0.24 inference(cnf_transformation,[],[f8])).
% 0.11/0.24 tff(f24,plain,(
% 0.11/0.24 ($true = sK0)),
% 0.11/0.24 inference(cnf_transformation,[],[f8])).
% 0.11/0.24 tff(f25,plain,(
% 0.11/0.24 ($true = sK5)),
% 0.11/0.24 inference(cnf_transformation,[],[f8])).
% 0.11/0.24 tff(f26,plain,(
% 0.11/0.24 ($true != sK7) | ($true = sK9)),
% 0.11/0.24 inference(cnf_transformation,[],[f8])).
% 0.11/0.24 tff(f27,definition,(
% 0.11/0.24 ($true != $false)),
% 0.11/0.24 introduced(theory,[fool_distinctness_axiom])).
% 0.11/0.24 tff(f28,definition,(
% 0.11/0.24 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 0.11/0.24 introduced(theory,[fool_exhaustiveness_axiom])).
% 0.11/0.24 tff(f29,plain,(
% 0.11/0.24 ($true = sK2) | ($true != $true) | ($true != sK1)),
% 0.11/0.24 inference(definition_unfolding,[],[f23,f24])).
% 0.11/0.24 tff(f30,plain,(
% 0.11/0.24 ($true = sK10) | ($true != $true) | ($true != sK2)),
% 0.11/0.24 inference(definition_unfolding,[],[f17,f24])).
% 0.11/0.24 tff(f31,plain,(
% 0.11/0.24 ($true != sK2) | ($true != $true) | ($true = sK8) | ($true != sK3) | ($true = sK6)),
% 0.11/0.24 inference(definition_unfolding,[],[f16,f25])).
% 0.11/0.24 tff(f32,plain,(
% 0.11/0.24 ($true != sK2) | ($true != sK8) | ($true != $true) | ($true != $true)),
% 0.11/0.24 inference(definition_unfolding,[],[f14,f24,f25])).
% 0.11/0.24 tff(f33,plain,(
% 0.11/0.24 ($true != sK10) | ($true != sK4) | ($true != $true)),
% 0.11/0.24 inference(definition_unfolding,[],[f13,f25])).
% 0.11/0.24 tff(f159,plain,(
% 0.11/0.24 $false),
% 0.11/0.24 inference(finite_model_not_found_(exhaustively_excluded_all_possible_domain_size_assignments),[],[f28,f27,f26,f29,f22,f21,f20,f19,f18,f30,f31,f15,f32,f33,f12,f11,f10,f9])).
% 0.11/0.24 % SZS output end Proof for theBenchmark
% 0.11/0.24 % (3797758)------------------------------
% 0.11/0.24 % (3797758)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.24 % (3797758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.24 % (3797758)CaDiCaL version: 2.1.3
% 0.11/0.24 % (3797758)Termination reason: Refutation
% 0.11/0.24 % (3797758)Time elapsed: 0.005 s
% 0.11/0.24 % (3797758)Peak memory usage: 11 MB
% 0.11/0.24 % (3797758)Instructions burned: 18 (million)
% 0.11/0.24 % (3797746)Success in time 0.035 s
% 0.11/0.24 % Vampire exiting
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