%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI092_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 : n003.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 09:34:01 AM UTC 2026
% Result : Theorem 0.19s 0.29s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ARI092_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.19 % Computer : n003.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 20:44:12 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.22 Running first-order model finding
% 0.07/0.22 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
% 0.19/0.29 % (1976081)Will run a generic schedule for satisfiability detection.
% 0.19/0.29 % (1976087)% WARNING: option uhcvi not known.
% 0.19/0.29 % (1976092)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1355778421:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.29 % (1976089)dis+10_1_sil=32000:sp=arity:random_seed=3758385168:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.29 % (1976088)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1023527101:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.29 % (1976090)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1759880656:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.29 % (1976086)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1601698858_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.29 % (1976086)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.29 % (1976086)Terminated due to inappropriate strategy.
% 0.19/0.29 % (1976086)------------------------------
% 0.19/0.29 % (1976086)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.29 % (1976086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.29 % (1976086)CaDiCaL version: 2.1.3
% 0.19/0.29 % (1976086)Termination reason: Inappropriate
% 0.19/0.29 % (1976086)Time elapsed: 0.0000 s
% 0.19/0.29 % (1976086)Peak memory usage: 10 MB
% 0.19/0.29 % (1976086)------------------------------
% 0.19/0.29 % (1976086)------------------------------
% 0.19/0.29 % (1976087)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3678098382:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.29 % (1976091)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1989528776:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.29 % (1976091) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1976081-1976091"...
% 0.19/0.29 % (1976098)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=111187626:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.19/0.29 % (1976098)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.29 % (1976098)Terminated due to inappropriate strategy.
% 0.19/0.29 % (1976098)------------------------------
% 0.19/0.29 % (1976098)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.29 % (1976098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.29 % (1976098)CaDiCaL version: 2.1.3
% 0.19/0.29 % (1976098)Termination reason: Inappropriate
% 0.19/0.29 % (1976098)Time elapsed: 0.0000 s
% 0.19/0.29 % (1976098)Peak memory usage: 10 MB
% 0.19/0.29 % (1976098)------------------------------
% 0.19/0.29 % (1976098)------------------------------
% 0.19/0.29 % (1976091)...printing done.
% 0.19/0.29 % (1976091)Refutation found. Thanks to Tanya!
% 0.19/0.29 % SZS status Theorem for theBenchmark
% 0.19/0.29 % SZS output start Proof for theBenchmark
% 0.19/0.29 tff(func_def_8, type, sK0: $int).
% 0.19/0.29 tff(f1,conjecture,(
% 0.19/0.29 ! [X0 : $int] : ($difference(5,X0) = 2 => X0 = 3)),
% 0.19/0.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p',diff_5_only_3_2)).
% 0.19/0.29 tff(f2,negated_conjecture,(
% 0.19/0.29 ~ ! [X0 : $int] : ($difference(5,X0) = 2 => X0 = 3)),
% 0.19/0.29 inference(negated_conjecture,[status(cth)],[f1])).
% 0.19/0.29 tff(f3,plain,(
% 0.19/0.29 ~ ! [X0 : $int] : (2 = $sum(5,$uminus(X0)) => X0 = 3)),
% 0.19/0.29 inference(theory_normalization,[],[f2])).
% 0.19/0.29 tff(f4,definition,(
% 0.19/0.29 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 0.19/0.29 introduced(theory,[tha_commutativity])).
% 0.19/0.29 tff(f5,definition,(
% 0.19/0.29 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 0.19/0.29 introduced(theory,[tha_associativity])).
% 0.19/0.29 tff(f7,definition,(
% 0.19/0.29 ( ! [X0 : $int,X1 : $int] : ($uminus($sum(X0,X1)) = $sum($uminus(X1),$uminus(X0))) )),
% 0.19/0.29 introduced(theory,[tha_inverse_op_op_inverses])).
% 0.19/0.29 tff(f8,definition,(
% 0.19/0.29 ( ! [X0 : $int] : (0 = $sum(X0,$uminus(X0))) )),
% 0.19/0.29 introduced(theory,[tha_inverse_op_unit])).
% 0.19/0.29 tff(f16,plain,(
% 0.19/0.29 ? [X0 : $int] : (3 != X0 & 2 = $sum(5,$uminus(X0)))),
% 0.19/0.29 inference(ennf_transformation,[],[f3])).
% 0.19/0.29 tff(f17,plain,(
% 0.19/0.29 3 != sK0 & 2 = $sum(5,$uminus(sK0))),
% 0.19/0.29 inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f16])).
% 0.19/0.29 tff(f18,plain,(
% 0.19/0.29 2 = $sum(5,$uminus(sK0))),
% 0.19/0.29 inference(cnf_transformation,[],[f17])).
% 0.19/0.29 tff(f19,plain,(
% 0.19/0.29 3 != sK0),
% 0.19/0.29 inference(cnf_transformation,[],[f17])).
% 0.19/0.29 tff(f71,plain,(
% 0.19/0.29 $sum($uminus($uminus(sK0)),$uminus(5)) = $uminus(2)),
% 0.19/0.29 inference(superposition,[],[f7,f18])).
% 0.19/0.29 tff(f79,plain,(
% 0.19/0.29 $sum(sK0,-5) = -2),
% 0.19/0.29 inference(evaluation,[],[f71])).
% 0.19/0.29 tff(f82,plain,(
% 0.19/0.29 -2 = $sum(-5,sK0)),
% 0.19/0.29 inference(forward_demodulation,[],[f79,f4])).
% 0.19/0.29 tff(f108,plain,(
% 0.19/0.29 ( ! [X0 : $int,X1 : $int] : ($sum(0,X1) = $sum(X0,$sum($uminus(X0),X1))) )),
% 0.19/0.29 inference(superposition,[],[f5,f8])).
% 0.19/0.29 tff(f113,plain,(
% 0.19/0.29 ( ! [X0 : $int] : ($sum(-5,$sum(sK0,X0)) = $sum(-2,X0)) )),
% 0.19/0.29 inference(superposition,[],[f5,f82])).
% 0.19/0.29 tff(f126,plain,(
% 0.19/0.29 ( ! [X0 : $int,X1 : $int] : ($sum(X0,$sum($uminus(X0),X1)) = X1) )),
% 0.19/0.29 inference(evaluation,[],[f108])).
% 0.19/0.29 tff(f137,plain,(
% 0.19/0.29 ( ! [X0 : $int] : ($sum(-2,X0) = $sum(-5,$sum(X0,sK0))) )),
% 0.19/0.29 inference(superposition,[],[f113,f4])).
% 0.19/0.29 tff(f231,plain,(
% 0.19/0.29 sK0 = $sum(-2,$uminus(-5))),
% 0.19/0.29 inference(superposition,[],[f126,f137])).
% 0.19/0.29 tff(f235,plain,(
% 0.19/0.29 3 = sK0),
% 0.19/0.29 inference(evaluation,[],[f231])).
% 0.19/0.29 tff(f239,plain,(
% 0.19/0.29 $false),
% 0.19/0.29 inference(forward_subsumption_resolution,[],[f235,f19])).
% 0.19/0.29 % SZS output end Proof for theBenchmark
% 0.19/0.29 % (1976091)------------------------------
% 0.19/0.29 % (1976091)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.29 % (1976091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.29 % (1976091)CaDiCaL version: 2.1.3
% 0.19/0.29 % (1976091)Termination reason: Refutation
% 0.19/0.29 % (1976091)Time elapsed: 0.011 s
% 0.19/0.29 % (1976091)Peak memory usage: 12 MB
% 0.19/0.29 % (1976091)Instructions burned: 9 (million)
% 0.19/0.29 % (1976081)Success in time 0.064 s
% 0.19/0.29 % Vampire exiting
%------------------------------------------------------------------------------