%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI188_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 : n012.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 09:34:09 AM UTC 2026
% Result : Theorem 0.08s 0.16s
% Output : Refutation 0.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : ARI188_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.00/0.10 % Computer : n012.cluster.edu
% 0.00/0.10 % Model : x86_64 x86_64
% 0.00/0.10 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10 % Memory : 8046.5625MB
% 0.00/0.10 % OS : Linux 6.8.0-71-generic
% 0.00/0.11 % CPULimit : 300
% 0.00/0.11 % WCLimit : 300
% 0.00/0.11 % DateTime : Mon Sep 28 20:43:34 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.12 Running first-order model finding
% 0.08/0.12 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
% 0.08/0.16 % (3725378)Will run a generic schedule for satisfiability detection.
% 0.08/0.16 % (3725391)% WARNING: option uhcvi not known.
% 0.08/0.16 % (3725391)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4167215462:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.16 % (3725390)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2001685057_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.16 % (3725392)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2627610411:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.16 % (3725393)dis+10_1_sil=32000:sp=arity:random_seed=4185075836:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.16 % (3725390)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.08/0.16 % (3725390)Terminated due to inappropriate strategy.
% 0.08/0.16 % (3725390)------------------------------
% 0.08/0.16 % (3725390)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.16 % (3725390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.16 % (3725390)CaDiCaL version: 2.1.3
% 0.08/0.16 % (3725390)Termination reason: Inappropriate
% 0.08/0.16 % (3725390)Time elapsed: 0.0000 s
% 0.08/0.16 % (3725390)Peak memory usage: 10 MB
% 0.08/0.16 % (3725397)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1384848322:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.08/0.16 % (3725390)------------------------------
% 0.08/0.16 % (3725390)------------------------------
% 0.08/0.16 % (3725396)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1085183447:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.08/0.16 % (3725391) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3725378-3725391"...
% 0.08/0.16 % (3725393) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3725378-3725393"...
% 0.08/0.16 % (3725391)...printing done.
% 0.08/0.16 % (3725393)...printing done.
% 0.08/0.16 % (3725391)Refutation found. Thanks to Tanya!
% 0.08/0.16 % SZS status Theorem for theBenchmark
% 0.08/0.16 % SZS output start Proof for theBenchmark
% 0.08/0.16 tff(pred_def_1, type, p: $int > $o).
% 0.08/0.16 tff(f1,conjecture,(
% 0.08/0.16 ! [X0 : $int] : p($sum(X0,3)) => p(5)),
% 0.08/0.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)).
% 0.08/0.16 tff(f2,negated_conjecture,(
% 0.08/0.16 ~(! [X0 : $int] : p($sum(X0,3)) => p(5))),
% 0.08/0.16 inference(negated_conjecture,[status(cth)],[f1])).
% 0.08/0.16 tff(f4,definition,(
% 0.08/0.16 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 0.08/0.16 introduced(theory,[tha_associativity])).
% 0.08/0.16 tff(f7,definition,(
% 0.08/0.16 ( ! [X0 : $int] : (0 = $sum(X0,$uminus(X0))) )),
% 0.08/0.16 introduced(theory,[tha_inverse_op_unit])).
% 0.08/0.16 tff(f13,definition,(
% 0.08/0.16 ( ! [X0 : $int] : ($uminus($uminus(X0)) = X0) )),
% 0.08/0.16 introduced(theory,[tha_minus_minus_x])).
% 0.08/0.16 tff(f15,plain,(
% 0.08/0.16 ~p(5) & ! [X0 : $int] : p($sum(X0,3))),
% 0.08/0.16 inference(ennf_transformation,[],[f2])).
% 0.08/0.16 tff(f16,plain,(
% 0.08/0.16 ( ! [X0 : $int] : (p($sum(X0,3))) )),
% 0.08/0.16 inference(cnf_transformation,[],[f15])).
% 0.08/0.16 tff(f17,plain,(
% 0.08/0.16 ~p(5)),
% 0.08/0.16 inference(cnf_transformation,[],[f15])).
% 0.08/0.16 tff(f18,plain,(
% 0.08/0.16 p(5)),
% 0.08/0.16 inference(consistent_polarity_flipping,[],[f17])).
% 0.08/0.16 tff(f19,plain,(
% 0.08/0.16 ( ! [X0 : $int] : (~p($sum(X0,3))) )),
% 0.08/0.16 inference(consistent_polarity_flipping,[],[f16])).
% 0.08/0.16 tff(f20,plain,(
% 0.08/0.16 ( ! [X0 : $int] : (0 = $sum($uminus(X0),X0)) )),
% 0.08/0.16 inference(superposition,[],[f7,f13])).
% 0.08/0.16 tff(f84,plain,(
% 0.08/0.16 ( ! [X0 : $int,X1 : $int] : (~p($sum(X0,$sum(X1,3)))) )),
% 0.08/0.16 inference(superposition,[],[f19,f4])).
% 0.08/0.16 tff(f116,plain,(
% 0.08/0.16 ( ! [X0 : $int] : (~p($sum(X0,0))) )),
% 0.08/0.16 inference(superposition,[],[f84,f20])).
% 0.08/0.16 tff(f125,plain,(
% 0.08/0.16 ( ! [X0 : $int] : (~p(X0)) )),
% 0.08/0.16 inference(evaluation,[],[f116])).
% 0.08/0.16 tff(f137,plain,(
% 0.08/0.16 $false),
% 0.08/0.16 inference(backward_subsumption_resolution,[],[f18,f125])).
% 0.08/0.16 % SZS output end Proof for theBenchmark
% 0.08/0.16 % (3725391)------------------------------
% 0.08/0.16 % (3725391)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.16 % (3725391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.16 % (3725391)CaDiCaL version: 2.1.3
% 0.08/0.16 % (3725391)Termination reason: Refutation
% 0.08/0.16 % (3725391)Time elapsed: 0.002 s
% 0.08/0.16 % (3725391)Peak memory usage: 12 MB
% 0.08/0.16 % (3725391)Instructions burned: 5 (million)
% 0.08/0.16 % (3725378)Success in time 0.026 s
% 0.08/0.16 % Vampire exiting
%------------------------------------------------------------------------------