%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM917_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 : n006.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 12:26:03 PM UTC 2026
% Result : Theorem 0.16s 0.46s
% Output : Refutation 0.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM917_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.37 % Computer : n006.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 21:39:10 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.16/0.40 Running first-order model finding
% 0.16/0.40 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
% 0.16/0.46 % (3340634)Will run a generic schedule for satisfiability detection.
% 0.16/0.46 % (3340641)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4059852100:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.46 % (3340640)% WARNING: option uhcvi not known.
% 0.16/0.46 % (3340639)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2016436510_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.46 % (3340640)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=752500032:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.46 % (3340642)dis+10_1_sil=32000:sp=arity:random_seed=770958243:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.46 % (3340645)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1154512064:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.46 % (3340643)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4000264820:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.46 % (3340639)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.16/0.46 % (3340639)Terminated due to inappropriate strategy.
% 0.16/0.46 % (3340639)------------------------------
% 0.16/0.46 % (3340639)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.46 % (3340644)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=28770289:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.46 % (3340639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.46 % (3340639)CaDiCaL version: 2.1.3
% 0.16/0.46 % (3340639)Termination reason: Inappropriate
% 0.16/0.46 % (3340639)Time elapsed: 0.0000 s
% 0.16/0.46 % (3340639)Peak memory usage: 10 MB
% 0.16/0.46 % (3340639)------------------------------
% 0.16/0.46 % (3340639)------------------------------
% 0.16/0.46 % (3340642) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3340634-3340642"...
% 0.16/0.46 % (3340640) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3340634-3340640"...
% 0.16/0.46 % (3340644) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3340634-3340644"...
% 0.16/0.46 % (3340642)...printing done.
% 0.16/0.46 % (3340640)...printing done.
% 0.16/0.46 % (3340643) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3340634-3340643"...
% 0.16/0.46 % (3340642)Refutation found. Thanks to Tanya!
% 0.16/0.46 % SZS status Theorem for theBenchmark
% 0.16/0.46 % SZS output start Proof for theBenchmark
% 0.16/0.46 tff(func_def_5, type, sK0: $int).
% 0.16/0.46 tff(func_def_6, type, sK1: $int).
% 0.16/0.46 tff(f1,conjecture,(
% 0.16/0.46 ! [X0 : $int,X1 : $int] : ? [X2 : $int] : $difference(X0,X2) = X1),
% 0.16/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)).
% 0.16/0.46 tff(f2,negated_conjecture,(
% 0.16/0.46 ~ ! [X0 : $int,X1 : $int] : ? [X2 : $int] : $difference(X0,X2) = X1),
% 0.16/0.46 inference(negated_conjecture,[status(cth)],[f1])).
% 0.16/0.46 tff(f3,plain,(
% 0.16/0.46 ~ ! [X0 : $int,X1 : $int] : ? [X2 : $int] : $sum(X0,$uminus(X2)) = X1),
% 0.16/0.46 inference(theory_normalization,[],[f2])).
% 0.16/0.46 tff(f4,definition,(
% 0.16/0.46 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 0.16/0.46 introduced(theory,[tha_commutativity])).
% 0.16/0.46 tff(f5,definition,(
% 0.16/0.46 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 0.16/0.46 introduced(theory,[tha_associativity])).
% 0.16/0.46 tff(f8,definition,(
% 0.16/0.46 ( ! [X0 : $int] : (0 = $sum(X0,$uminus(X0))) )),
% 0.16/0.46 introduced(theory,[tha_inverse_op_unit])).
% 0.16/0.46 tff(f14,definition,(
% 0.16/0.46 ( ! [X0 : $int] : ($uminus($uminus(X0)) = X0) )),
% 0.16/0.46 introduced(theory,[tha_minus_minus_x])).
% 0.16/0.46 tff(f16,plain,(
% 0.16/0.46 ? [X0 : $int,X1 : $int] : ! [X2 : $int] : $sum(X0,$uminus(X2)) != X1),
% 0.16/0.46 inference(ennf_transformation,[],[f3])).
% 0.16/0.46 tff(f17,plain,(
% 0.16/0.46 ! [X2 : $int] : sK1 != $sum(sK0,$uminus(X2))),
% 0.16/0.46 inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f16])).
% 0.16/0.46 tff(f18,plain,(
% 0.16/0.46 ( ! [X2 : $int] : (sK1 != $sum(sK0,$uminus(X2))) )),
% 0.16/0.46 inference(cnf_transformation,[],[f17])).
% 0.16/0.46 tff(f19,plain,(
% 0.16/0.46 ( ! [X0 : $int] : (sK1 != $sum(sK0,X0)) )),
% 0.16/0.46 inference(superposition,[],[f18,f14])).
% 0.16/0.46 tff(f26,plain,(
% 0.16/0.46 ( ! [X0 : $int] : (sK1 != $sum(X0,sK0)) )),
% 0.16/0.46 inference(superposition,[],[f19,f4])).
% 0.16/0.46 tff(f100,plain,(
% 0.16/0.46 ( ! [X0 : $int,X1 : $int] : (sK1 != $sum(X0,$sum(X1,sK0))) )),
% 0.16/0.46 inference(superposition,[],[f26,f5])).
% 0.16/0.46 tff(f104,plain,(
% 0.16/0.46 ( ! [X0 : $int,X1 : $int] : (sK1 != $sum(X1,$sum(sK0,X0))) )),
% 0.16/0.46 inference(superposition,[],[f100,f4])).
% 0.16/0.46 tff(f114,plain,(
% 0.16/0.46 ( ! [X0 : $int] : ($sum(X0,0) != sK1) )),
% 0.16/0.46 inference(superposition,[],[f104,f8])).
% 0.16/0.46 tff(f120,plain,(
% 0.16/0.46 ( ! [X0 : $int] : (sK1 != X0) )),
% 0.16/0.46 inference(evaluation,[],[f114])).
% 0.16/0.46 tff(f131,plain,(
% 0.16/0.46 $false),
% 0.16/0.46 inference(equality_resolution,[],[f120])).
% 0.16/0.46 % SZS output end Proof for theBenchmark
% 0.16/0.46 % (3340642)------------------------------
% 0.16/0.46 % (3340642)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.46 % (3340642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.46 % (3340642)CaDiCaL version: 2.1.3
% 0.16/0.46 % (3340642)Termination reason: Refutation
% 0.16/0.46 % (3340642)Time elapsed: 0.005 s
% 0.16/0.46 % (3340642)Peak memory usage: 12 MB
% 0.16/0.46 % (3340642)Instructions burned: 5 (million)
% 0.16/0.46 % (3340634)Success in time 0.042 s
% 0.16/0.46 % Vampire exiting
%------------------------------------------------------------------------------