%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM918_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n019.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 12:26:03 PM UTC 2026
% Result : Theorem 0.12s 0.42s
% Output : Refutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM918_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.37 % Computer : n019.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 21:39:34 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 Running first-order model finding
% 0.12/0.39 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
% 0.12/0.42 % (3433422)Will run a generic schedule for satisfiability detection.
% 0.12/0.42 % (3433430)dis+10_1_sil=32000:sp=arity:random_seed=2936924330:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.12/0.42 % (3433430) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3433422-3433430"...
% 0.12/0.42 % (3433428)% WARNING: option uhcvi not known.
% 0.12/0.42 % (3433430)...printing done.
% 0.12/0.42 % (3433430)Refutation found. Thanks to Tanya!
% 0.12/0.42 % SZS status Theorem for theBenchmark
% 0.12/0.42 % SZS output start Proof for theBenchmark
% 0.12/0.42 tff(func_def_5, type, sK0: $int).
% 0.12/0.42 tff(func_def_6, type, sK1: $int).
% 0.12/0.42 tff(f1,conjecture,(
% 0.12/0.42 ! [X0 : $int,X1 : $int] : ? [X2 : $int] : $difference(X2,X0) = X1),
% 0.12/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1)).
% 0.12/0.42 tff(f2,negated_conjecture,(
% 0.12/0.42 ~ ! [X0 : $int,X1 : $int] : ? [X2 : $int] : $difference(X2,X0) = X1),
% 0.12/0.42 inference(negated_conjecture,[status(cth)],[f1])).
% 0.12/0.42 tff(f3,plain,(
% 0.12/0.42 ~ ! [X0 : $int,X1 : $int] : ? [X2 : $int] : $sum(X2,$uminus(X0)) = X1),
% 0.12/0.42 inference(theory_normalization,[],[f2])).
% 0.12/0.42 tff(f5,definition,(
% 0.12/0.42 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 0.12/0.42 introduced(theory,[tha_associativity])).
% 0.12/0.42 tff(f8,definition,(
% 0.12/0.42 ( ! [X0 : $int] : (0 = $sum(X0,$uminus(X0))) )),
% 0.12/0.42 introduced(theory,[tha_inverse_op_unit])).
% 0.12/0.42 tff(f16,plain,(
% 0.12/0.42 ? [X0 : $int,X1 : $int] : ! [X2 : $int] : $sum(X2,$uminus(X0)) != X1),
% 0.12/0.42 inference(ennf_transformation,[],[f3])).
% 0.12/0.42 tff(f17,plain,(
% 0.12/0.42 ! [X2 : $int] : sK1 != $sum(X2,$uminus(sK0))),
% 0.12/0.42 inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f16])).
% 0.12/0.42 tff(f18,plain,(
% 0.12/0.42 ( ! [X2 : $int] : (sK1 != $sum(X2,$uminus(sK0))) )),
% 0.12/0.42 inference(cnf_transformation,[],[f17])).
% 0.12/0.42 tff(f97,plain,(
% 0.12/0.42 ( ! [X0 : $int,X1 : $int] : (sK1 != $sum(X0,$sum(X1,$uminus(sK0)))) )),
% 0.12/0.42 inference(superposition,[],[f18,f5])).
% 0.12/0.42 tff(f107,plain,(
% 0.12/0.42 ( ! [X0 : $int] : ($sum(X0,0) != sK1) )),
% 0.12/0.42 inference(superposition,[],[f97,f8])).
% 0.12/0.42 tff(f115,plain,(
% 0.12/0.42 ( ! [X0 : $int] : (sK1 != X0) )),
% 0.12/0.42 inference(evaluation,[],[f107])).
% 0.12/0.42 tff(f118,plain,(
% 0.12/0.42 $false),
% 0.12/0.42 inference(equality_resolution,[],[f115])).
% 0.12/0.42 % SZS output end Proof for theBenchmark
% 0.12/0.42 % (3433430)------------------------------
% 0.12/0.42 % (3433430)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/0.42 % (3433430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/0.42 % (3433430)CaDiCaL version: 2.1.3
% 0.12/0.42 % (3433430)Termination reason: Refutation
% 0.12/0.42 % (3433430)Time elapsed: 0.003 s
% 0.12/0.42 % (3433430)Peak memory usage: 12 MB
% 0.12/0.42 % (3433430)Instructions burned: 5 (million)
% 0.12/0.42 % (3433422)Success in time 0.018 s
% 0.12/0.42 % Vampire exiting
%------------------------------------------------------------------------------