%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI710_1 : TPTP v9.3.1. Released v6.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n018.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 09:35:07 AM UTC 2026
% Result : Theorem 0.18s 0.27s
% Output : Refutation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ARI710_1 : TPTP v9.3.1. Released v6.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.20 % Computer : n018.cluster.edu
% 0.07/0.20 % Model : x86_64 x86_64
% 0.07/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.20 % Memory : 8046.5625MB
% 0.07/0.20 % OS : Linux 6.8.0-71-generic
% 0.07/0.20 % CPULimit : 300
% 0.07/0.20 % WCLimit : 300
% 0.07/0.20 % DateTime : Mon Sep 28 21:00:25 UTC 2026
% 0.07/0.20 % CPUTime :
% 0.07/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.22 Running first-order model finding
% 0.07/0.22 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
% 0.18/0.27 % (3778209)Will run a generic schedule for satisfiability detection.
% 0.18/0.27 % (3778220)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=228114060:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.27 % (3778215)% WARNING: option uhcvi not known.
% 0.18/0.27 % (3778220) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3778209-3778220"...
% 0.18/0.27 % (3778220)...printing done.
% 0.18/0.27 % (3778220)Refutation found. Thanks to Tanya!
% 0.18/0.27 % SZS status Theorem for theBenchmark
% 0.18/0.27 % SZS output start Proof for theBenchmark
% 0.18/0.27 tff(func_def_0, type, b: $int).
% 0.18/0.27 tff(func_def_1, type, a: $int).
% 0.18/0.27 tff(func_def_2, type, c: $int).
% 0.18/0.27 tff(func_def_3, type, d: $int).
% 0.18/0.27 tff(f1,axiom,(
% 0.18/0.27 $product(b,1) = $product($product(a,c),d)),
% 0.18/0.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p',eq)).
% 0.18/0.27 tff(f2,conjecture,(
% 0.18/0.27 b = $product($product(d,a),c)),
% 0.18/0.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj)).
% 0.18/0.27 tff(f3,negated_conjecture,(
% 0.18/0.27 ~ b = $product($product(d,a),c)),
% 0.18/0.27 inference(negated_conjecture,[status(cth)],[f2])).
% 0.18/0.27 tff(f15,definition,(
% 0.18/0.27 ( ! [X0 : $int,X1 : $int] : ($product(X0,X1) = $product(X1,X0)) )),
% 0.18/0.27 introduced(theory,[tha_commutativity])).
% 0.18/0.27 tff(f16,definition,(
% 0.18/0.27 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$product(X1,X2)) = $product($product(X0,X1),X2)) )),
% 0.18/0.27 introduced(theory,[tha_associativity])).
% 0.18/0.27 tff(f22,plain,(
% 0.18/0.27 b != $product($product(d,a),c)),
% 0.18/0.27 inference(flattening,[],[f3])).
% 0.18/0.27 tff(f23,plain,(
% 0.18/0.27 $product(b,1) = $product($product(a,c),d)),
% 0.18/0.27 inference(cnf_transformation,[],[f1])).
% 0.18/0.27 tff(f24,plain,(
% 0.18/0.27 b != $product($product(d,a),c)),
% 0.18/0.27 inference(cnf_transformation,[],[f22])).
% 0.18/0.27 tff(f25,plain,(
% 0.18/0.27 b = $product($product(a,c),d)),
% 0.18/0.27 inference(evaluation,[],[f23])).
% 0.18/0.27 tff(f40,plain,(
% 0.18/0.27 b != $product($product(a,d),c)),
% 0.18/0.27 inference(superposition,[],[f24,f15])).
% 0.18/0.27 tff(f45,plain,(
% 0.18/0.27 b != $product(a,$product(d,c))),
% 0.18/0.27 inference(forward_demodulation,[],[f40,f16])).
% 0.18/0.27 tff(f48,plain,(
% 0.18/0.27 b != $product(a,$product(c,d))),
% 0.18/0.27 inference(forward_demodulation,[],[f45,f15])).
% 0.18/0.27 tff(f171,plain,(
% 0.18/0.27 b = $product(a,$product(c,d))),
% 0.18/0.27 inference(superposition,[],[f25,f16])).
% 0.18/0.27 tff(f176,plain,(
% 0.18/0.27 $false),
% 0.18/0.27 inference(forward_subsumption_resolution,[],[f171,f48])).
% 0.18/0.27 % SZS output end Proof for theBenchmark
% 0.18/0.27 % (3778220)------------------------------
% 0.18/0.27 % (3778220)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.27 % (3778220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.27 % (3778220)CaDiCaL version: 2.1.3
% 0.18/0.27 % (3778220)Termination reason: Refutation
% 0.18/0.27 % (3778220)Time elapsed: 0.003 s
% 0.18/0.27 % (3778220)Peak memory usage: 12 MB
% 0.18/0.27 % (3778220)Instructions burned: 7 (million)
% 0.18/0.27 % (3778209)Success in time 0.038 s
% 0.18/0.27 % Vampire exiting
%------------------------------------------------------------------------------