%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWX102_1 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n013.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 01:46:29 PM UTC 2026
% Result : Theorem 0.09s 0.24s
% Output : Refutation 0.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWX102_1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.17 % Computer : n013.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Mon Sep 28 15:00:36 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 Running first-order model finding
% 0.09/0.20 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
% 0.09/0.24 % (1247252)Will run a generic schedule for satisfiability detection.
% 0.09/0.24 % (1247258)% WARNING: option uhcvi not known.
% 0.09/0.24 % (1247258)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=205584485:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.24 % (1247257)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=656133452_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.24 % (1247260)dis+10_1_sil=32000:sp=arity:random_seed=1172333818:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.24 % (1247259)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2081450060:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.24 % (1247261)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3592394133:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.24 % (1247262)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2479727698:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.24 % (1247263)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3680407541:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.24 % (1247257)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.09/0.24 % (1247257)Terminated due to inappropriate strategy.
% 0.09/0.24 % (1247257)------------------------------
% 0.09/0.24 % (1247257)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.24 % (1247257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.24 % (1247257)CaDiCaL version: 2.1.3
% 0.09/0.24 % (1247257)Termination reason: Inappropriate
% 0.09/0.24 % (1247257)Time elapsed: 0.001 s
% 0.09/0.24 % (1247257)Peak memory usage: 10 MB
% 0.09/0.24 % (1247257)Instructions burned: 2 (million)
% 0.09/0.24 % (1247257)------------------------------
% 0.09/0.24 % (1247257)------------------------------
% 0.09/0.24 % (1247261) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1247252-1247261"...
% 0.09/0.24 % (1247261)...printing done.
% 0.09/0.24 % (1247258) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1247252-1247258"...
% 0.09/0.24 % (1247261)Refutation found. Thanks to Tanya!
% 0.09/0.24 % SZS status Theorem for theBenchmark
% 0.09/0.24 % SZS output start Proof for theBenchmark
% 0.09/0.24 tff(type_def_5, type, general: $tType).
% 0.09/0.24 tff(type_def_6, type, symbol: $tType).
% 0.09/0.24 tff(func_def_0, type, f__integer__: $int > general).
% 0.09/0.24 tff(func_def_1, type, f__symbolic__: symbol > general).
% 0.09/0.24 tff(func_def_2, type, c__infimum__: general).
% 0.09/0.24 tff(func_def_3, type, c__supremum__: general).
% 0.09/0.24 tff(func_def_4, type, a_i: $int).
% 0.09/0.24 tff(func_def_5, type, b_i: $int).
% 0.09/0.24 tff(func_def_12, type, sK0: general > $int).
% 0.09/0.24 tff(func_def_13, type, sK1: general > symbol).
% 0.09/0.24 tff(pred_def_1, type, p__is_integer__: general > $o).
% 0.09/0.24 tff(pred_def_2, type, p__is_symbolic__: general > $o).
% 0.09/0.24 tff(pred_def_3, type, p__less_equal__: (general * general) > $o).
% 0.09/0.24 tff(pred_def_4, type, p__less__: (general * general) > $o).
% 0.09/0.24 tff(pred_def_5, type, p__greater_equal__: (general * general) > $o).
% 0.09/0.24 tff(pred_def_6, type, p__greater__: (general * general) > $o).
% 0.09/0.24 tff(pred_def_8, type, composite: general > $o).
% 0.09/0.24 tff(pred_def_9, type, sqrtb: general > $o).
% 0.09/0.24 tff(pred_def_10, type, composite_p: general > $o).
% 0.09/0.24 tff(pred_def_11, type, prime: general > $o).
% 0.09/0.24 tff(pred_def_12, type, sqrt: (general * general) > $o).
% 0.09/0.24 tff(f21,axiom,(
% 0.09/0.24 ! [X0 : $int,X1 : $int] : (sqrt(f__integer__(X0),f__integer__(X1)) <=> ($greatereq(X0,0) & $lesseq($product(X0,X0),X1) & $less(X1,$product($sum(X0,1),$sum(X0,1)))))),
% 0.09/0.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_5_unnamed_formula)).
% 0.09/0.24 tff(f23,conjecture,(
% 0.09/0.24 ? [X0 : $int] : sqrt(f__integer__(X0),f__integer__(0))),
% 0.09/0.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_7_base_case)).
% 0.09/0.24 tff(f24,negated_conjecture,(
% 0.09/0.24 ~ ? [X0 : $int] : sqrt(f__integer__(X0),f__integer__(0))),
% 0.09/0.24 inference(negated_conjecture,[status(cth)],[f23])).
% 0.09/0.24 tff(f31,plain,(
% 0.09/0.24 ! [X0 : $int,X1 : $int] : (sqrt(f__integer__(X0),f__integer__(X1)) <=> (~$less(X0,0) & ~$less(X1,$product(X0,X0)) & $less(X1,$product($sum(X0,1),$sum(X0,1)))))),
% 0.09/0.24 inference(theory_normalization,[],[f21])).
% 0.09/0.24 tff(f33,definition,(
% 0.09/0.24 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 0.09/0.24 introduced(theory,[tha_commutativity])).
% 0.09/0.24 tff(f35,definition,(
% 0.09/0.24 ( ! [X0 : $int] : ($sum(X0,0) = X0) )),
% 0.09/0.24 introduced(theory,[tha_right_identity])).
% 0.09/0.24 tff(f67,plain,(
% 0.09/0.24 ! [X0 : $int] : ~sqrt(f__integer__(X0),f__integer__(0))),
% 0.09/0.24 inference(ennf_transformation,[],[f24])).
% 0.09/0.24 tff(f89,plain,(
% 0.09/0.24 ( ! [X0 : $int,X1 : $int] : (sqrt(f__integer__(X0),f__integer__(X1)) | $less(X1,$product(X0,X0)) | $less(X0,0) | ~$less(X1,$product($sum(X0,1),$sum(X0,1)))) )),
% 0.09/0.24 inference(cnf_transformation,[],[f31])).
% 0.09/0.24 tff(f91,plain,(
% 0.09/0.24 ( ! [X0 : $int] : (~sqrt(f__integer__(X0),f__integer__(0))) )),
% 0.09/0.24 inference(cnf_transformation,[],[f67])).
% 0.09/0.24 tff(f361,plain,(
% 0.09/0.24 ( ! [X0 : $int] : (~$less(0,$product($sum(X0,1),$sum(X0,1))) | $less(X0,0) | $less(0,$product(X0,X0))) )),
% 0.09/0.24 inference(resolution,[],[f89,f91])).
% 0.09/0.24 tff(f367,plain,(
% 0.09/0.24 ( ! [X0 : $int] : (~$less(0,$product($sum(1,X0),$sum(1,X0))) | $less(X0,0) | $less(0,$product(X0,X0))) )),
% 0.09/0.24 inference(superposition,[],[f361,f33])).
% 0.09/0.24 tff(f380,plain,(
% 0.09/0.24 ~$less(0,$product(1,1)) | $less(0,0) | $less(0,$product(0,0))),
% 0.09/0.24 inference(superposition,[],[f367,f35])).
% 0.09/0.24 tff(f384,plain,(
% 0.09/0.24 $false),
% 0.09/0.24 inference(evaluation,[],[f380])).
% 0.09/0.24 % SZS output end Proof for theBenchmark
% 0.09/0.24 % (1247261)------------------------------
% 0.09/0.24 % (1247261)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.24 % (1247261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.24 % (1247261)CaDiCaL version: 2.1.3
% 0.09/0.24 % (1247261)Termination reason: Refutation
% 0.09/0.24 % (1247261)Time elapsed: 0.007 s
% 0.09/0.24 % (1247261)Peak memory usage: 12 MB
% 0.09/0.24 % (1247261)Instructions burned: 16 (million)
% 0.09/0.24 % (1247252)Success in time 0.037 s
% 0.09/0.24 % Vampire exiting
%------------------------------------------------------------------------------