%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM893_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n020.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 12:26:00 PM UTC 2026
% Result : Theorem 0.10s 0.44s
% Output : Refutation 0.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM893_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36 % Computer : n020.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 21:39:19 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.39 Running first-order model finding
% 0.10/0.40 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
% 0.10/0.44 % (3778198)Will run a generic schedule for satisfiability detection.
% 0.10/0.44 % (3778204)% WARNING: option uhcvi not known.
% 0.10/0.44 % (3778204)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=767215207:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.44 % (3778204) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3778198-3778204"...
% 0.10/0.44 % (3778206)dis+10_1_sil=32000:sp=arity:random_seed=1901489237:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.44 % (3778203)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=160056274_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.44 % (3778205)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2702745672:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.44 % (3778207)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2141030565:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.44 % (3778204)...printing done.
% 0.10/0.44 % (3778208)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3160648509:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.44 % (3778203)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.10/0.44 % (3778203)Terminated due to inappropriate strategy.
% 0.10/0.44 % (3778203)------------------------------
% 0.10/0.44 % (3778203)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.44 % (3778209)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3531784544:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.44 % (3778203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.44 % (3778203)CaDiCaL version: 2.1.3
% 0.10/0.44 % (3778203)Termination reason: Inappropriate
% 0.10/0.44 % (3778203)Time elapsed: 0.0000 s
% 0.10/0.44 % (3778203)Peak memory usage: 10 MB
% 0.10/0.44 % (3778204)Refutation found. Thanks to Tanya!
% 0.10/0.44 % SZS status Theorem for theBenchmark
% 0.10/0.44 % SZS output start Proof for theBenchmark
% 0.10/0.44 tff(f1,conjecture,(
% 0.10/0.44 ? [X0 : $int,X1 : $int,X2 : $int] : ($sum(X0,X1) = X2 <=> ($difference(X2,X1) = X0 & $difference(X2,X0) = X1))),
% 0.10/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_same_as_difference)).
% 0.10/0.44 tff(f2,negated_conjecture,(
% 0.10/0.44 ~ ? [X0 : $int,X1 : $int,X2 : $int] : ($sum(X0,X1) = X2 <=> ($difference(X2,X1) = X0 & $difference(X2,X0) = X1))),
% 0.10/0.44 inference(negated_conjecture,[status(cth)],[f1])).
% 0.10/0.44 tff(f3,plain,(
% 0.10/0.44 ~ ? [X0 : $int,X1 : $int,X2 : $int] : ($sum(X0,X1) = X2 <=> ($sum(X2,$uminus(X1)) = X0 & $sum(X2,$uminus(X0)) = X1))),
% 0.10/0.44 inference(theory_normalization,[],[f2])).
% 0.10/0.44 tff(f8,definition,(
% 0.10/0.44 ( ! [X0 : $int] : (0 = $sum(X0,$uminus(X0))) )),
% 0.10/0.44 introduced(theory,[tha_inverse_op_unit])).
% 0.10/0.44 tff(f16,plain,(
% 0.10/0.44 ! [X0 : $int,X1 : $int,X2 : $int] : ($sum(X0,X1) = X2 <~> ($sum(X2,$uminus(X1)) = X0 & $sum(X2,$uminus(X0)) = X1))),
% 0.10/0.44 inference(ennf_transformation,[],[f3])).
% 0.10/0.44 tff(f17,plain,(
% 0.10/0.44 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X2,$uminus(X0)) != X1 | $sum(X2,$uminus(X1)) != X0 | $sum(X0,X1) != X2) )),
% 0.10/0.44 inference(cnf_transformation,[],[f16])).
% 0.10/0.44 tff(f20,plain,(
% 0.10/0.44 ( ! [X2 : $int,X0 : $int] : ($sum(X2,$uminus($sum(X2,$uminus(X0)))) != X0 | $sum(X0,$sum(X2,$uminus(X0))) != X2) )),
% 0.10/0.44 inference(equality_resolution,[],[f17])).
% 0.10/0.44 tff(f69,plain,(
% 0.10/0.44 ( ! [X0 : $int] : ($sum(X0,$uminus(0)) != X0 | $sum(X0,0) != X0) )),
% 0.10/0.44 inference(superposition,[],[f20,f8])).
% 0.10/0.44 tff(f75,plain,(
% 0.10/0.44 $false),
% 0.10/0.44 inference(evaluation,[],[f69])).
% 0.10/0.44 % SZS output end Proof for theBenchmark
% 0.10/0.44 % (3778204)------------------------------
% 0.10/0.44 % (3778204)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.44 % (3778204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.44 % (3778204)CaDiCaL version: 2.1.3
% 0.10/0.44 % (3778204)Termination reason: Refutation
% 0.10/0.44 % (3778204)Time elapsed: 0.002 s
% 0.10/0.44 % (3778204)Peak memory usage: 12 MB
% 0.10/0.44 % (3778204)Instructions burned: 3 (million)
% 0.10/0.44 % (3778198)Success in time 0.035 s
% 0.10/0.44 % Vampire exiting
%------------------------------------------------------------------------------