%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI691_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 : n017.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 09:35:05 AM UTC 2026
% Result : Theorem 0.27s 0.31s
% Output : Refutation 0.27s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI691_1 : TPTP v9.3.1. Released v6.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 % Computer : n017.cluster.edu
% 0.09/0.22 % Model : x86_64 x86_64
% 0.09/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.22 % Memory : 8046.5625MB
% 0.09/0.22 % OS : Linux 6.8.0-71-generic
% 0.09/0.22 % CPULimit : 300
% 0.09/0.22 % WCLimit : 300
% 0.09/0.22 % DateTime : Mon Sep 28 20:53:06 UTC 2026
% 0.09/0.22 % CPUTime :
% 0.09/0.22 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.27 Running first-order model finding
% 0.09/0.27 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
% 0.27/0.31 % (4018530)Will run a generic schedule for satisfiability detection.
% 0.27/0.31 % (4018536)% WARNING: option uhcvi not known.
% 0.27/0.31 % (4018536)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=890256123:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.27/0.31 % (4018536) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4018530-4018536"...
% 0.27/0.31 % (4018536)...printing done.
% 0.27/0.31 % (4018536)Refutation found. Thanks to Tanya!
% 0.27/0.31 % SZS status Theorem for theBenchmark
% 0.27/0.31 % SZS output start Proof for theBenchmark
% 0.27/0.31 tff(func_def_0, type, a: $int).
% 0.27/0.31 tff(func_def_1, type, b: $int).
% 0.27/0.31 tff(func_def_2, type, f: $int > $int).
% 0.27/0.31 tff(f1,axiom,(
% 0.27/0.31 $product(a,b) = f($product(a,b))),
% 0.27/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p',eq)).
% 0.27/0.31 tff(f2,conjecture,(
% 0.27/0.31 f(f($product(a,b))) = $product(b,a)),
% 0.27/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj)).
% 0.27/0.31 tff(f3,negated_conjecture,(
% 0.27/0.31 ~ f(f($product(a,b))) = $product(b,a)),
% 0.27/0.31 inference(negated_conjecture,[status(cth)],[f2])).
% 0.27/0.31 tff(f15,definition,(
% 0.27/0.31 ( ! [X0 : $int,X1 : $int] : ($product(X0,X1) = $product(X1,X0)) )),
% 0.27/0.31 introduced(theory,[tha_commutativity])).
% 0.27/0.31 tff(f22,plain,(
% 0.27/0.31 f(f($product(a,b))) != $product(b,a)),
% 0.27/0.31 inference(flattening,[],[f3])).
% 0.27/0.31 tff(f23,plain,(
% 0.27/0.31 $product(a,b) = f($product(a,b))),
% 0.27/0.31 inference(cnf_transformation,[],[f1])).
% 0.27/0.31 tff(f24,plain,(
% 0.27/0.31 f(f($product(a,b))) != $product(b,a)),
% 0.27/0.31 inference(cnf_transformation,[],[f22])).
% 0.27/0.31 tff(f56,plain,(
% 0.27/0.31 f($product(a,b)) != $product(b,a)),
% 0.27/0.31 inference(superposition,[],[f24,f23])).
% 0.27/0.31 tff(f57,plain,(
% 0.27/0.31 $product(a,b) != f($product(a,b))),
% 0.27/0.31 inference(forward_demodulation,[],[f56,f15])).
% 0.27/0.31 tff(f58,plain,(
% 0.27/0.31 $false),
% 0.27/0.31 inference(forward_subsumption_resolution,[],[f57,f23])).
% 0.27/0.31 % SZS output end Proof for theBenchmark
% 0.27/0.31 % (4018536)------------------------------
% 0.27/0.31 % (4018536)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.27/0.31 % (4018536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.27/0.31 % (4018536)CaDiCaL version: 2.1.3
% 0.27/0.31 % (4018536)Termination reason: Refutation
% 0.27/0.31 % (4018536)Time elapsed: 0.002 s
% 0.27/0.31 % (4018536)Peak memory usage: 12 MB
% 0.27/0.31 % (4018536)Instructions burned: 2 (million)
% 0.27/0.31 % (4018530)Success in time 0.024 s
% 0.27/0.31 % Vampire exiting
%------------------------------------------------------------------------------