%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI684_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 : 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 09:35:04 AM UTC 2026
% Result : Theorem 0.10s 0.27s
% Output : Refutation 0.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ARI684_1 : TPTP v9.3.1. Released v6.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.17 % Computer : n014.cluster.edu
% 0.10/0.17 % Model : x86_64 x86_64
% 0.10/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.17 % Memory : 8046.5625MB
% 0.10/0.17 % OS : Linux 6.8.0-71-generic
% 0.10/0.17 % CPULimit : 300
% 0.10/0.17 % WCLimit : 300
% 0.10/0.17 % DateTime : Mon Sep 28 20:57:26 UTC 2026
% 0.10/0.18 % CPUTime :
% 0.10/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.21 Running first-order model finding
% 0.10/0.21 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
% 0.10/0.27 % (2179948)Will run a generic schedule for satisfiability detection.
% 0.10/0.27 % (2179955)% WARNING: option uhcvi not known.
% 0.10/0.27 % (2179954)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4129379926_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.27 % (2179954)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.10/0.27 % (2179954)Terminated due to inappropriate strategy.
% 0.10/0.27 % (2179954)------------------------------
% 0.10/0.27 % (2179954)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.27 % (2179954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.27 % (2179954)CaDiCaL version: 2.1.3
% 0.10/0.27 % (2179954)Termination reason: Inappropriate
% 0.10/0.27 % (2179954)Time elapsed: 0.0000 s
% 0.10/0.27 % (2179954)Peak memory usage: 10 MB
% 0.10/0.27 % (2179955)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2056301160:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.27 % (2179964)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2859497451:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.27 % (2179954)------------------------------
% 0.10/0.27 % (2179954)------------------------------
% 0.10/0.27 % (2179955) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2179948-2179955"...
% 0.10/0.27 % (2179955)...printing done.
% 0.10/0.27 % (2179956)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3002426812:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.27 % (2179960)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2106088221:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.27 % (2179955)Refutation found. Thanks to Tanya!
% 0.10/0.27 % SZS status Theorem for theBenchmark
% 0.10/0.27 % SZS output start Proof for theBenchmark
% 0.10/0.27 tff(func_def_0, type, a: $int).
% 0.10/0.27 tff(func_def_1, type, b: $int).
% 0.10/0.27 tff(func_def_2, type, c: $int).
% 0.10/0.27 tff(f1,conjecture,(
% 0.10/0.27 $product($product(a,$sum(a,b)),c) = $sum($product($product(a,a),c),$product($product(a,b),c))),
% 0.10/0.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj)).
% 0.10/0.27 tff(f2,negated_conjecture,(
% 0.10/0.27 ~ $product($product(a,$sum(a,b)),c) = $sum($product($product(a,a),c),$product($product(a,b),c))),
% 0.10/0.27 inference(negated_conjecture,[status(cth)],[f1])).
% 0.10/0.27 tff(f14,definition,(
% 0.10/0.27 ( ! [X0 : $int,X1 : $int] : ($product(X0,X1) = $product(X1,X0)) )),
% 0.10/0.27 introduced(theory,[tha_commutativity])).
% 0.10/0.27 tff(f18,definition,(
% 0.10/0.27 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$sum(X1,X2)) = $sum($product(X0,X1),$product(X0,X2))) )),
% 0.10/0.27 introduced(theory,[tha_distributivity])).
% 0.10/0.27 tff(f21,plain,(
% 0.10/0.27 $product($product(a,$sum(a,b)),c) != $sum($product($product(a,a),c),$product($product(a,b),c))),
% 0.10/0.27 inference(flattening,[],[f2])).
% 0.10/0.27 tff(f22,plain,(
% 0.10/0.27 $product($product(a,$sum(a,b)),c) != $sum($product($product(a,a),c),$product($product(a,b),c))),
% 0.10/0.27 inference(cnf_transformation,[],[f21])).
% 0.10/0.27 tff(f38,plain,(
% 0.10/0.27 $product($product(a,$sum(a,b)),c) != $sum($product($product(a,a),c),$product(c,$product(a,b)))),
% 0.10/0.27 inference(superposition,[],[f22,f14])).
% 0.10/0.27 tff(f41,plain,(
% 0.10/0.27 $product($product(a,$sum(a,b)),c) != $sum($product(c,$product(a,a)),$product(c,$product(a,b)))),
% 0.10/0.27 inference(forward_demodulation,[],[f38,f14])).
% 0.10/0.27 tff(f45,plain,(
% 0.10/0.27 $sum($product(c,$product(a,a)),$product(c,$product(a,b))) != $product(c,$product(a,$sum(a,b)))),
% 0.10/0.27 inference(forward_demodulation,[],[f41,f14])).
% 0.10/0.27 tff(f143,plain,(
% 0.10/0.27 $product(c,$product(a,$sum(a,b))) != $product(c,$sum($product(a,a),$product(a,b)))),
% 0.10/0.27 inference(superposition,[],[f45,f18])).
% 0.10/0.27 tff(f149,plain,(
% 0.10/0.27 $product(c,$product(a,$sum(a,b))) != $product(c,$product(a,$sum(a,b)))),
% 0.10/0.27 inference(forward_demodulation,[],[f143,f18])).
% 0.10/0.27 tff(f150,plain,(
% 0.10/0.27 $false),
% 0.10/0.27 inference(trivial_inequality_removal,[],[f149])).
% 0.10/0.27 % SZS output end Proof for theBenchmark
% 0.10/0.27 % (2179955)------------------------------
% 0.10/0.27 % (2179955)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.27 % (2179955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.27 % (2179955)CaDiCaL version: 2.1.3
% 0.10/0.27 % (2179955)Termination reason: Refutation
% 0.10/0.27 % (2179955)Time elapsed: 0.009 s
% 0.10/0.27 % (2179955)Peak memory usage: 12 MB
% 0.10/0.27 % (2179955)Instructions burned: 7 (million)
% 0.10/0.27 % (2179948)Success in time 0.048 s
% 0.10/0.27 % Vampire exiting
%------------------------------------------------------------------------------