%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI705_1 : TPTP v9.3.1. Released v6.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n019.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 0.48s 0.39s
% Output : Refutation 0.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ARI705_1 : TPTP v9.3.1. Released v6.3.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.22/0.28 % Computer : n019.cluster.edu
% 0.22/0.28 % Model : x86_64 x86_64
% 0.22/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/0.28 % Memory : 8046.5625MB
% 0.22/0.28 % OS : Linux 6.8.0-71-generic
% 0.22/0.28 % CPULimit : 300
% 0.22/0.28 % WCLimit : 300
% 0.22/0.28 % DateTime : Mon Sep 28 20:58:03 UTC 2026
% 0.22/0.29 % CPUTime :
% 0.22/0.29 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.22/0.32 Running first-order model finding
% 0.22/0.32 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
% 0.48/0.39 % (272836)Will run a generic schedule for satisfiability detection.
% 0.48/0.39 % (272846)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2634772459:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.48/0.39 % (272842)% WARNING: option uhcvi not known.
% 0.48/0.39 % (272841)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1942714214_3000 on theBenchmark for (3000ds/0Mi)
% 0.48/0.39 % (272842)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=131527617:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.48/0.39 % (272843)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4147634028:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.48/0.39 % (272841)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.48/0.39 % (272841)Terminated due to inappropriate strategy.
% 0.48/0.39 % (272841)------------------------------
% 0.48/0.39 % (272841)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.39 % (272841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.39 % (272841)CaDiCaL version: 2.1.3
% 0.48/0.39 % (272841)Termination reason: Inappropriate
% 0.48/0.39 % (272841)Time elapsed: 0.001 s
% 0.48/0.39 % (272841)Peak memory usage: 10 MB
% 0.48/0.39 % (272844)dis+10_1_sil=32000:sp=arity:random_seed=2691513554:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.48/0.39 % (272841)------------------------------
% 0.48/0.39 % (272841)------------------------------
% 0.48/0.39 % (272845)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1130749944:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.48/0.39 % (272847)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3061894072:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.48/0.39 % (272846) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-272836-272846"...
% 0.48/0.39 % (272846)...printing done.
% 0.48/0.39 % (272846)Refutation found. Thanks to Tanya!
% 0.48/0.39 % SZS status Theorem for theBenchmark
% 0.48/0.39 % SZS output start Proof for theBenchmark
% 0.48/0.39 tff(func_def_0, type, d: $int).
% 0.48/0.39 tff(func_def_1, type, a: $int).
% 0.48/0.39 tff(func_def_2, type, c: $int).
% 0.48/0.39 tff(func_def_3, type, b: $int).
% 0.48/0.39 tff(f1,axiom,(
% 0.48/0.39 $product(d,d) = $sum($product(d,d),a)),
% 0.48/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eq)).
% 0.48/0.39 tff(f2,conjecture,(
% 0.48/0.39 $product($product($product($product(d,c),a),b),2) = 0),
% 0.48/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj)).
% 0.48/0.39 tff(f3,negated_conjecture,(
% 0.48/0.39 ~ $product($product($product($product(d,c),a),b),2) = 0),
% 0.48/0.39 inference(negated_conjecture,[status(cth)],[f2])).
% 0.48/0.39 tff(f4,definition,(
% 0.48/0.39 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 0.48/0.39 introduced(theory,[tha_commutativity])).
% 0.48/0.39 tff(f5,definition,(
% 0.48/0.39 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 0.48/0.39 introduced(theory,[tha_associativity])).
% 0.48/0.39 tff(f7,definition,(
% 0.48/0.39 ( ! [X0 : $int,X1 : $int] : ($uminus($sum(X0,X1)) = $sum($uminus(X1),$uminus(X0))) )),
% 0.48/0.39 introduced(theory,[tha_inverse_op_op_inverses])).
% 0.48/0.39 tff(f8,definition,(
% 0.48/0.39 ( ! [X0 : $int] : (0 = $sum(X0,$uminus(X0))) )),
% 0.48/0.39 introduced(theory,[tha_inverse_op_unit])).
% 0.48/0.39 tff(f14,definition,(
% 0.48/0.39 ( ! [X0 : $int] : ($uminus($uminus(X0)) = X0) )),
% 0.48/0.39 introduced(theory,[tha_minus_minus_x])).
% 0.48/0.39 tff(f15,definition,(
% 0.48/0.39 ( ! [X0 : $int,X1 : $int] : ($product(X0,X1) = $product(X1,X0)) )),
% 0.48/0.39 introduced(theory,[tha_commutativity])).
% 0.48/0.39 tff(f16,definition,(
% 0.48/0.39 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$product(X1,X2)) = $product($product(X0,X1),X2)) )),
% 0.48/0.39 introduced(theory,[tha_associativity])).
% 0.48/0.39 tff(f22,plain,(
% 0.48/0.39 $product($product($product($product(d,c),a),b),2) != 0),
% 0.48/0.39 inference(flattening,[],[f3])).
% 0.48/0.39 tff(f23,plain,(
% 0.48/0.39 $product(d,d) = $sum($product(d,d),a)),
% 0.48/0.39 inference(cnf_transformation,[],[f1])).
% 0.48/0.39 tff(f24,plain,(
% 0.48/0.39 $product($product($product($product(d,c),a),b),2) != 0),
% 0.48/0.39 inference(cnf_transformation,[],[f22])).
% 0.48/0.39 tff(f90,plain,(
% 0.48/0.39 $uminus($product(d,d)) = $sum($uminus(a),$uminus($product(d,d)))),
% 0.48/0.39 inference(superposition,[],[f7,f23])).
% 0.48/0.39 tff(f96,plain,(
% 0.48/0.39 $uminus($product(d,d)) = $sum($uminus($product(d,d)),$uminus(a))),
% 0.48/0.39 inference(forward_demodulation,[],[f90,f4])).
% 0.48/0.39 tff(f131,plain,(
% 0.48/0.39 ( ! [X0 : $int,X1 : $int] : ($sum(0,X1) = $sum(X0,$sum($uminus(X0),X1))) )),
% 0.48/0.39 inference(superposition,[],[f5,f8])).
% 0.48/0.39 tff(f148,plain,(
% 0.48/0.39 ( ! [X0 : $int,X1 : $int] : ($sum(X0,$sum($uminus(X0),X1)) = X1) )),
% 0.48/0.39 inference(evaluation,[],[f131])).
% 0.48/0.39 tff(f168,plain,(
% 0.48/0.39 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product($product(X0,X1),X2) = $product(X1,$product(X0,X2))) )),
% 0.48/0.39 inference(superposition,[],[f16,f15])).
% 0.48/0.39 tff(f782,plain,(
% 0.48/0.39 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$product(X1,X2)) = $product(X1,$product(X0,X2))) )),
% 0.48/0.39 inference(superposition,[],[f16,f168])).
% 0.48/0.39 tff(f783,plain,(
% 0.48/0.39 0 != $product($product($product(c,$product(d,a)),b),2)),
% 0.48/0.39 inference(superposition,[],[f24,f168])).
% 0.48/0.39 tff(f802,plain,(
% 0.48/0.39 0 != $product(2,$product($product(c,$product(d,a)),b))),
% 0.48/0.39 inference(forward_demodulation,[],[f783,f15])).
% 0.48/0.39 tff(f810,plain,(
% 0.48/0.39 0 != $product(2,$product(c,$product($product(d,a),b)))),
% 0.48/0.39 inference(forward_demodulation,[],[f802,f16])).
% 0.48/0.39 tff(f815,plain,(
% 0.48/0.39 0 != $product(2,$product($product(d,a),$product(c,b)))),
% 0.48/0.39 inference(forward_demodulation,[],[f810,f782])).
% 0.48/0.39 tff(f819,plain,(
% 0.48/0.39 0 != $product(2,$product(d,$product(a,$product(c,b))))),
% 0.48/0.39 inference(forward_demodulation,[],[f815,f16])).
% 0.48/0.39 tff(f1163,plain,(
% 0.48/0.39 $uminus(a) = $sum($product(d,d),$uminus($product(d,d)))),
% 0.48/0.39 inference(superposition,[],[f148,f96])).
% 0.48/0.39 tff(f1175,plain,(
% 0.48/0.39 0 = $uminus(a)),
% 0.48/0.39 inference(forward_demodulation,[],[f1163,f8])).
% 0.48/0.39 tff(f1183,plain,(
% 0.48/0.39 a = $uminus(0)),
% 0.48/0.39 inference(superposition,[],[f14,f1175])).
% 0.48/0.39 tff(f1184,plain,(
% 0.48/0.39 a = 0),
% 0.48/0.39 inference(evaluation,[],[f1183])).
% 0.48/0.39 tff(f1280,plain,(
% 0.48/0.39 0 != $product(2,$product(d,$product(0,$product(c,b))))),
% 0.48/0.39 inference(superposition,[],[f819,f1184])).
% 0.48/0.39 tff(f1282,plain,(
% 0.48/0.39 $false),
% 0.48/0.39 inference(evaluation,[],[f1280])).
% 0.48/0.39 % SZS output end Proof for theBenchmark
% 0.48/0.39 % (272846)------------------------------
% 0.48/0.39 % (272846)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.39 % (272846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.39 % (272846)CaDiCaL version: 2.1.3
% 0.48/0.39 % (272846)Termination reason: Refutation
% 0.48/0.39 % (272846)Time elapsed: 0.029 s
% 0.48/0.39 % (272846)Peak memory usage: 12 MB
% 0.48/0.39 % (272846)Instructions burned: 53 (million)
% 0.48/0.39 % (272836)Success in time 0.056 s
% 0.48/0.39 % Vampire exiting
%------------------------------------------------------------------------------