%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI701_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 : n015.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 09:35:06 AM UTC 2026
% Result : Theorem 0.08s 0.26s
% Output : Refutation 0.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ARI701_1 : TPTP v9.3.1. Released v6.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n015.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 21:01:02 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 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
% 0.08/0.26 % (3014631)Will run a generic schedule for satisfiability detection.
% 0.08/0.26 % (3014641)% WARNING: option uhcvi not known.
% 0.08/0.26 % (3014641)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3692979938:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.26 % (3014641) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3014631-3014641"...
% 0.08/0.26 % (3014641)...printing done.
% 0.08/0.26 % (3014642)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1882616308:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.26 % (3014643)dis+10_1_sil=32000:sp=arity:random_seed=2831611182:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.26 % (3014641)Refutation found. Thanks to Tanya!
% 0.08/0.26 % SZS status Theorem for theBenchmark
% 0.08/0.26 % SZS output start Proof for theBenchmark
% 0.08/0.26 tff(func_def_0, type, x: $int).
% 0.08/0.26 tff(func_def_1, type, y: $int).
% 0.08/0.26 tff(func_def_2, type, a: $int).
% 0.08/0.26 tff(func_def_3, type, z: $int).
% 0.08/0.26 tff(func_def_4, type, b: $int).
% 0.08/0.26 tff(f1,axiom,(
% 0.08/0.26 $product(x,y) = a),
% 0.08/0.26 file('/export/starexec/sandbox/benchmark/theBenchmark.p',eq1)).
% 0.08/0.26 tff(f3,axiom,(
% 0.08/0.26 $product(a,z) = 1),
% 0.08/0.26 file('/export/starexec/sandbox/benchmark/theBenchmark.p',eq3)).
% 0.08/0.26 tff(f4,conjecture,(
% 0.08/0.26 $product($product(z,y),x) = 1),
% 0.08/0.26 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj)).
% 0.08/0.26 tff(f5,negated_conjecture,(
% 0.08/0.26 ~ $product($product(z,y),x) = 1),
% 0.08/0.26 inference(negated_conjecture,[status(cth)],[f4])).
% 0.08/0.26 tff(f17,definition,(
% 0.08/0.26 ( ! [X0 : $int,X1 : $int] : ($product(X0,X1) = $product(X1,X0)) )),
% 0.08/0.26 introduced(theory,[tha_commutativity])).
% 0.08/0.26 tff(f18,definition,(
% 0.08/0.26 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$product(X1,X2)) = $product($product(X0,X1),X2)) )),
% 0.08/0.26 introduced(theory,[tha_associativity])).
% 0.08/0.26 tff(f24,plain,(
% 0.08/0.26 1 != $product($product(z,y),x)),
% 0.08/0.26 inference(flattening,[],[f5])).
% 0.08/0.26 tff(f25,plain,(
% 0.08/0.26 $product(x,y) = a),
% 0.08/0.26 inference(cnf_transformation,[],[f1])).
% 0.08/0.26 tff(f27,plain,(
% 0.08/0.26 $product(a,z) = 1),
% 0.08/0.26 inference(cnf_transformation,[],[f3])).
% 0.08/0.26 tff(f28,plain,(
% 0.08/0.26 1 != $product($product(z,y),x)),
% 0.08/0.26 inference(cnf_transformation,[],[f24])).
% 0.08/0.26 tff(f37,plain,(
% 0.08/0.26 a = $product(y,x)),
% 0.08/0.26 inference(superposition,[],[f17,f25])).
% 0.08/0.26 tff(f38,plain,(
% 0.08/0.26 1 = $product(z,a)),
% 0.08/0.26 inference(superposition,[],[f17,f27])).
% 0.08/0.26 tff(f135,plain,(
% 0.08/0.26 1 != $product(z,$product(y,x))),
% 0.08/0.26 inference(superposition,[],[f28,f18])).
% 0.08/0.26 tff(f232,plain,(
% 0.08/0.26 1 != $product(z,a)),
% 0.08/0.26 inference(superposition,[],[f135,f37])).
% 0.08/0.26 tff(f255,plain,(
% 0.08/0.26 $false),
% 0.08/0.26 inference(forward_subsumption_resolution,[],[f232,f38])).
% 0.08/0.26 % SZS output end Proof for theBenchmark
% 0.08/0.26 % (3014641)------------------------------
% 0.08/0.26 % (3014641)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.26 % (3014641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.26 % (3014641)CaDiCaL version: 2.1.3
% 0.08/0.26 % (3014641)Termination reason: Refutation
% 0.08/0.26 % (3014641)Time elapsed: 0.004 s
% 0.08/0.26 % (3014641)Peak memory usage: 12 MB
% 0.08/0.26 % (3014641)Instructions burned: 10 (million)
% 0.08/0.26 % (3014631)Success in time 0.029 s
% 0.08/0.26 % Vampire exiting
%------------------------------------------------------------------------------