%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI613_1 : TPTP v9.3.1. Released v5.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n007.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 09:34:58 AM UTC 2026
% Result : Theorem 0.21s 0.28s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI613_1 : TPTP v9.3.1. Released v5.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n007.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 20:51:40 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 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
% 0.21/0.28 % (2808928)Will run a generic schedule for satisfiability detection.
% 0.21/0.28 % (2808944)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=457284410:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.28 % (2808940)% WARNING: option uhcvi not known.
% 0.21/0.28 % (2808939)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2138218036_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.28 % (2808940)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3462047199:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.28 % (2808941)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3778457973:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.28 % (2808942)dis+10_1_sil=32000:sp=arity:random_seed=2088468081:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.28 % (2808943)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=397756889:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.28 % (2808939)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.28 % (2808939)Terminated due to inappropriate strategy.
% 0.21/0.28 % (2808939)------------------------------
% 0.21/0.28 % (2808939)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.28 % (2808939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.28 % (2808939)CaDiCaL version: 2.1.3
% 0.21/0.28 % (2808939)Termination reason: Inappropriate
% 0.21/0.28 % (2808939)Time elapsed: 0.0000 s
% 0.21/0.28 % (2808939)Peak memory usage: 10 MB
% 0.21/0.28 % (2808945)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=845452437:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.28 % (2808939)------------------------------
% 0.21/0.28 % (2808939)------------------------------
% 0.21/0.28 % (2808944) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2808928-2808944"...
% 0.21/0.28 % (2808940) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2808928-2808940"...
% 0.21/0.28 % (2808942) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2808928-2808942"...
% 0.21/0.28 % (2808944)...printing done.
% 0.21/0.28 % (2808944)Refutation found. Thanks to Tanya!
% 0.21/0.28 % SZS status Theorem for theBenchmark
% 0.21/0.28 % SZS output start Proof for theBenchmark
% 0.21/0.28 tff(pred_def_1, type, p: $int > $o).
% 0.21/0.28 tff(pred_def_2, type, q: $int > $o).
% 0.21/0.28 tff(f1,conjecture,(
% 0.21/0.28 (! [X0 : $int] : ($less(3,X0) => p(X0)) & ! [X0 : $int] : ($less(X0,1) => q(X0))) => ? [X0 : $int,X1 : $int] : (p(X0) & q(X1) & $sum(X0,X1) = 0)),
% 0.21/0.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',interv_3_infty_and_neginfty_1_contain_compl)).
% 0.21/0.28 tff(f2,negated_conjecture,(
% 0.21/0.28 ~((! [X0 : $int] : ($less(3,X0) => p(X0)) & ! [X0 : $int] : ($less(X0,1) => q(X0))) => ? [X0 : $int,X1 : $int] : (p(X0) & q(X1) & $sum(X0,X1) = 0))),
% 0.21/0.28 inference(negated_conjecture,[status(cth)],[f1])).
% 0.21/0.28 tff(f7,definition,(
% 0.21/0.28 ( ! [X0 : $int] : (0 = $sum(X0,$uminus(X0))) )),
% 0.21/0.28 introduced(theory,[tha_inverse_op_unit])).
% 0.21/0.28 tff(f8,definition,(
% 0.21/0.28 ( ! [X0 : $int] : (~$less(X0,X0)) )),
% 0.21/0.28 introduced(theory,[tha_non-reflexivity])).
% 0.21/0.28 tff(f12,definition,(
% 0.21/0.28 ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,$sum(X0,1))) )),
% 0.21/0.28 introduced(theory,[tha_order_plus_one_dichotomy])).
% 0.21/0.28 tff(f15,plain,(
% 0.21/0.28 ~((! [X0 : $int] : ($less(3,X0) => p(X0)) & ! [X1 : $int] : ($less(X1,1) => q(X1))) => ? [X2 : $int,X3 : $int] : (p(X2) & q(X3) & 0 = $sum(X2,X3)))),
% 0.21/0.28 inference(rectify,[],[f2])).
% 0.21/0.28 tff(f16,plain,(
% 0.21/0.28 ! [X2 : $int,X3 : $int] : (~p(X2) | ~q(X3) | 0 != $sum(X2,X3)) & (! [X0 : $int] : (p(X0) | ~$less(3,X0)) & ! [X1 : $int] : (q(X1) | ~$less(X1,1)))),
% 0.21/0.28 inference(ennf_transformation,[],[f15])).
% 0.21/0.28 tff(f17,plain,(
% 0.21/0.28 ! [X2 : $int,X3 : $int] : (~p(X2) | ~q(X3) | 0 != $sum(X2,X3)) & ! [X0 : $int] : (p(X0) | ~$less(3,X0)) & ! [X1 : $int] : (q(X1) | ~$less(X1,1))),
% 0.21/0.28 inference(flattening,[],[f16])).
% 0.21/0.28 tff(f18,plain,(
% 0.21/0.28 ! [X0 : $int,X1 : $int] : (~p(X0) | ~q(X1) | $sum(X0,X1) != 0) & ! [X2 : $int] : (p(X2) | ~$less(3,X2)) & ! [X3 : $int] : (q(X3) | ~$less(X3,1))),
% 0.21/0.28 inference(rectify,[],[f17])).
% 0.21/0.28 tff(f19,plain,(
% 0.21/0.28 ( ! [X3 : $int] : (~$less(X3,1) | q(X3)) )),
% 0.21/0.28 inference(cnf_transformation,[],[f18])).
% 0.21/0.28 tff(f20,plain,(
% 0.21/0.28 ( ! [X2 : $int] : (~$less(3,X2) | p(X2)) )),
% 0.21/0.28 inference(cnf_transformation,[],[f18])).
% 0.21/0.28 tff(f21,plain,(
% 0.21/0.28 ( ! [X0 : $int,X1 : $int] : (~q(X1) | ~p(X0) | $sum(X0,X1) != 0) )),
% 0.21/0.28 inference(cnf_transformation,[],[f18])).
% 0.21/0.28 tff(f28,plain,(
% 0.21/0.28 ( ! [X0 : $int] : (q(X0) | $less(1,$sum(X0,1))) )),
% 0.21/0.28 inference(resolution,[],[f12,f19])).
% 0.21/0.28 tff(f30,plain,(
% 0.21/0.28 ( ! [X0 : $int] : ($less(X0,$sum(X0,1))) )),
% 0.21/0.28 inference(resolution,[],[f12,f8])).
% 0.21/0.28 tff(f39,plain,(
% 0.21/0.28 ( ! [X0 : $int,X1 : $int] : (~p(X1) | $less(1,$sum(X0,1)) | 0 != $sum(X1,X0)) )),
% 0.21/0.28 inference(resolution,[],[f28,f21])).
% 0.21/0.28 tff(f97,plain,(
% 0.21/0.28 p($sum(3,1))),
% 0.21/0.28 inference(resolution,[],[f30,f20])).
% 0.21/0.28 tff(f101,plain,(
% 0.21/0.28 p(4)),
% 0.21/0.28 inference(evaluation,[],[f97])).
% 0.21/0.28 tff(f742,plain,(
% 0.21/0.28 ( ! [X0 : $int] : (0 != $sum(4,X0) | $less(1,$sum(X0,1))) )),
% 0.21/0.28 inference(resolution,[],[f39,f101])).
% 0.21/0.28 tff(f828,plain,(
% 0.21/0.28 0 != 0 | $less(1,$sum($uminus(4),1))),
% 0.21/0.28 inference(superposition,[],[f742,f7])).
% 0.21/0.28 tff(f829,plain,(
% 0.21/0.28 $less(1,$sum($uminus(4),1))),
% 0.21/0.28 inference(trivial_inequality_removal,[],[f828])).
% 0.21/0.28 tff(f830,plain,(
% 0.21/0.28 $false),
% 0.21/0.28 inference(evaluation,[],[f829])).
% 0.21/0.28 % SZS output end Proof for theBenchmark
% 0.21/0.28 % (2808944)------------------------------
% 0.21/0.28 % (2808944)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.28 % (2808944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.28 % (2808944)CaDiCaL version: 2.1.3
% 0.21/0.28 % (2808944)Termination reason: Refutation
% 0.21/0.28 % (2808944)Time elapsed: 0.012 s
% 0.21/0.28 % (2808944)Peak memory usage: 12 MB
% 0.21/0.28 % (2808944)Instructions burned: 34 (million)
% 0.21/0.28 % (2808928)Success in time 0.04 s
% 0.21/0.28 % Vampire exiting
%------------------------------------------------------------------------------