%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM901_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 : n014.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 12:26:01 PM UTC 2026
% Result : Theorem 0.21s 0.53s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM901_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.18/0.45 % Computer : n014.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Sun Sep 27 21:38:47 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.21/0.49 Running first-order model finding
% 0.21/0.49 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
% 0.21/0.53 % (1192162)Will run a generic schedule for satisfiability detection.
% 0.21/0.53 % (1192172)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3490277852:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.21/0.53 % (1192172) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1192162-1192172"...
% 0.21/0.53 % (1192167)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1188575181_3000 on theBenchmark for (3000ds/0Mi)
% 0.21/0.53 % (1192172)...printing done.
% 0.21/0.53 % (1192167)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.53 % (1192167)Terminated due to inappropriate strategy.
% 0.21/0.53 % (1192167)------------------------------
% 0.21/0.53 % (1192167)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.53 % (1192167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.53 % (1192167)CaDiCaL version: 2.1.3
% 0.21/0.53 % (1192167)Termination reason: Inappropriate
% 0.21/0.53 % (1192167)Time elapsed: 0.0000 s
% 0.21/0.53 % (1192167)Peak memory usage: 11 MB
% 0.21/0.53 % (1192172)Refutation found. Thanks to Tanya!
% 0.21/0.53 % SZS status Theorem for theBenchmark
% 0.21/0.53 % SZS output start Proof for theBenchmark
% 0.21/0.53 tff(func_def_5, type, sK0: $rat).
% 0.21/0.53 tff(f1,conjecture,(
% 0.21/0.53 ! [X0 : $rat] : $difference(X0,X0) = 0/1),
% 0.21/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rat_difference_problem_12)).
% 0.21/0.53 tff(f2,negated_conjecture,(
% 0.21/0.53 ~ ! [X0 : $rat] : $difference(X0,X0) = 0/1),
% 0.21/0.53 inference(negated_conjecture,[status(cth)],[f1])).
% 0.21/0.53 tff(f3,plain,(
% 0.21/0.53 ~ ! [X0 : $rat] : 0/1 = $sum(X0,$uminus(X0))),
% 0.21/0.53 inference(theory_normalization,[],[f2])).
% 0.21/0.53 tff(f8,definition,(
% 0.21/0.53 ( ! [X0 : $rat] : (0/1 = $sum(X0,$uminus(X0))) )),
% 0.21/0.53 introduced(theory,[tha_inverse_op_unit])).
% 0.21/0.53 tff(f15,plain,(
% 0.21/0.53 ? [X0 : $rat] : 0/1 != $sum(X0,$uminus(X0))),
% 0.21/0.53 inference(ennf_transformation,[],[f3])).
% 0.21/0.53 tff(f16,plain,(
% 0.21/0.53 0/1 != $sum(sK0,$uminus(sK0))),
% 0.21/0.53 inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f15])).
% 0.21/0.53 tff(f17,plain,(
% 0.21/0.53 0/1 != $sum(sK0,$uminus(sK0))),
% 0.21/0.53 inference(cnf_transformation,[],[f16])).
% 0.21/0.53 tff(f19,plain,(
% 0.21/0.53 0/1 != 0/1),
% 0.21/0.53 inference(superposition,[],[f17,f8])).
% 0.21/0.53 tff(f20,plain,(
% 0.21/0.53 $false),
% 0.21/0.53 inference(trivial_inequality_removal,[],[f19])).
% 0.21/0.53 % SZS output end Proof for theBenchmark
% 0.21/0.53 % (1192172)------------------------------
% 0.21/0.53 % (1192172)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.53 % (1192172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.53 % (1192172)CaDiCaL version: 2.1.3
% 0.21/0.53 % (1192172)Termination reason: Refutation
% 0.21/0.53 % (1192172)Time elapsed: 0.002 s
% 0.21/0.53 % (1192172)Peak memory usage: 12 MB
% 0.21/0.53 % (1192172)Instructions burned: 1 (million)
% 0.21/0.53 % (1192162)Success in time 0.024 s
% 0.21/0.53 % Vampire exiting
%------------------------------------------------------------------------------