%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWX153_1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 01:46:34 PM UTC 2026
% Result : Theorem 0.08s 0.24s
% Output : Refutation 0.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWX153_1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.17 % Computer : n003.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Mon Sep 28 15:07:56 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 Running first-order model finding
% 0.08/0.19 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
% 0.08/0.24 % (1685879)Will run a generic schedule for satisfiability detection.
% 0.08/0.24 % (1685894)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1688221854:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.24 % (1685893)% WARNING: option uhcvi not known.
% 0.08/0.24 % (1685892)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2839654205_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.24 % (1685895)dis+10_1_sil=32000:sp=arity:random_seed=4087521630:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.24 % (1685899)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4159678058:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.08/0.24 % (1685897)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=333944972:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.24 % (1685898)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1344778409:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.08/0.24 % (1685893)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3418836801:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.24 % (1685892)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.08/0.24 % (1685892)Terminated due to inappropriate strategy.
% 0.08/0.24 % (1685892)------------------------------
% 0.08/0.24 % (1685892)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.24 % (1685892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.24 % (1685892)CaDiCaL version: 2.1.3
% 0.08/0.24 % (1685892)Termination reason: Inappropriate
% 0.08/0.24 % (1685892)Time elapsed: 0.001 s
% 0.08/0.24 % (1685892)Peak memory usage: 10 MB
% 0.08/0.24 % (1685894) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1685879-1685894"...
% 0.08/0.24 % (1685892)Instructions burned: 1 (million)
% 0.08/0.24 % (1685892)------------------------------
% 0.08/0.24 % (1685892)------------------------------
% 0.08/0.24 % (1685894)...printing done.
% 0.08/0.24 % (1685894)Refutation found. Thanks to Tanya!
% 0.08/0.24 % SZS status Theorem for theBenchmark
% 0.08/0.24 % SZS output start Proof for theBenchmark
% 0.08/0.24 tff(pred_def_1, type, sl1sl2: ($int * $int) > $o).
% 0.08/0.24 tff(pred_def_2, type, w1w2: ($int * $int) > $o).
% 0.08/0.24 tff(pred_def_3, type, cr1cr2: ($int * $int) > $o).
% 0.08/0.24 tff(pred_def_4, type, sl1w2: ($int * $int) > $o).
% 0.08/0.24 tff(pred_def_5, type, w1cr2: ($int * $int) > $o).
% 0.08/0.24 tff(pred_def_6, type, sl1cr2: ($int * $int) > $o).
% 0.08/0.24 tff(pred_def_7, type, w1sl2: ($int * $int) > $o).
% 0.08/0.24 tff(pred_def_8, type, cr1w2: ($int * $int) > $o).
% 0.08/0.24 tff(pred_def_9, type, cr1sl2: ($int * $int) > $o).
% 0.08/0.24 tff(f1,axiom,(
% 0.08/0.24 ! [X0 : $int,X1 : $int] : (sl1sl2(X0,X1) => sl1w2(X0,$sum(X0,1)))),
% 0.08/0.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1)).
% 0.08/0.24 tff(f2,axiom,(
% 0.08/0.24 ! [X0 : $int,X1 : $int] : ((sl1w2(X0,X1) & (X0 = 0 | $less(X1,X0))) => sl1cr2(X0,X1))),
% 0.08/0.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2)).
% 0.08/0.24 tff(f6,axiom,(
% 0.08/0.24 ! [X0 : $int,X1 : $int] : (sl1cr2(X0,X1) => sl1sl2(X0,0))),
% 0.08/0.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6)).
% 0.08/0.24 tff(f10,axiom,(
% 0.08/0.24 ! [X0 : $int,X1 : $int] : (sl1sl2(X0,X1) => w1sl2($sum(X1,1),X1))),
% 0.08/0.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10)).
% 0.08/0.24 tff(f12,axiom,(
% 0.08/0.24 ! [X0 : $int,X1 : $int] : (w1sl2(X0,X1) => w1w2(X0,$sum(X0,1)))),
% 0.08/0.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12)).
% 0.08/0.24 tff(f13,axiom,(
% 0.08/0.24 ! [X0 : $int,X1 : $int] : ((w1w2(X0,X1) & (X1 = 0 | $less(X0,X1))) => cr1w2(X0,X1))),
% 0.08/0.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13)).
% 0.08/0.24 tff(f19,conjecture,(
% 0.08/0.24 ! [X0 : $int,X1 : $int] : (($greatereq(X0,0) & $greatereq(X1,0)) => sl1sl2(X0,X1)) => ? [X2 : $int,X3 : $int] : cr1w2(X2,X3)),
% 0.08/0.24 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj1)).
% 0.08/0.24 tff(f20,negated_conjecture,(
% 0.08/0.24 ~(! [X0 : $int,X1 : $int] : (($greatereq(X0,0) & $greatereq(X1,0)) => sl1sl2(X0,X1)) => ? [X2 : $int,X3 : $int] : cr1w2(X2,X3))),
% 0.08/0.24 inference(negated_conjecture,[status(cth)],[f19])).
% 0.08/0.24 tff(f21,plain,(
% 0.08/0.24 ~(! [X0 : $int,X1 : $int] : ((~$less(X0,0) & ~$less(X1,0)) => sl1sl2(X0,X1)) => ? [X2 : $int,X3 : $int] : cr1w2(X2,X3))),
% 0.08/0.24 inference(theory_normalization,[],[f20])).
% 0.08/0.24 tff(f27,definition,(
% 0.08/0.24 ( ! [X0 : $int] : (~$less(X0,X0)) )),
% 0.08/0.24 introduced(theory,[tha_non-reflexivity])).
% 0.08/0.24 tff(f31,definition,(
% 0.08/0.24 ( ! [X0 : $int,X1 : $int] : ($less(X1,$sum(X0,1)) | $less(X0,X1)) )),
% 0.08/0.24 introduced(theory,[tha_order_plus_one_dichotomy])).
% 0.08/0.24 tff(f34,plain,(
% 0.08/0.24 ! [X0 : $int,X1 : $int] : (sl1w2(X0,$sum(X0,1)) | ~sl1sl2(X0,X1))),
% 0.08/0.24 inference(ennf_transformation,[],[f1])).
% 0.08/0.24 tff(f35,plain,(
% 0.08/0.24 ! [X0 : $int,X1 : $int] : (sl1cr2(X0,X1) | (~sl1w2(X0,X1) | (0 != X0 & ~$less(X1,X0))))),
% 0.08/0.24 inference(ennf_transformation,[],[f2])).
% 0.08/0.24 tff(f36,plain,(
% 0.08/0.24 ! [X0 : $int,X1 : $int] : (sl1cr2(X0,X1) | ~sl1w2(X0,X1) | (0 != X0 & ~$less(X1,X0)))),
% 0.08/0.24 inference(flattening,[],[f35])).
% 0.08/0.24 tff(f41,plain,(
% 0.08/0.24 ! [X0 : $int,X1 : $int] : (sl1sl2(X0,0) | ~sl1cr2(X0,X1))),
% 0.08/0.24 inference(ennf_transformation,[],[f6])).
% 0.08/0.24 tff(f46,plain,(
% 0.08/0.24 ! [X0 : $int,X1 : $int] : (w1sl2($sum(X1,1),X1) | ~sl1sl2(X0,X1))),
% 0.08/0.24 inference(ennf_transformation,[],[f10])).
% 0.08/0.24 tff(f49,plain,(
% 0.08/0.24 ! [X0 : $int,X1 : $int] : (w1w2(X0,$sum(X0,1)) | ~w1sl2(X0,X1))),
% 0.08/0.24 inference(ennf_transformation,[],[f12])).
% 0.08/0.24 tff(f50,plain,(
% 0.08/0.24 ! [X0 : $int,X1 : $int] : (cr1w2(X0,X1) | (~w1w2(X0,X1) | (0 != X1 & ~$less(X0,X1))))),
% 0.08/0.24 inference(ennf_transformation,[],[f13])).
% 0.08/0.24 tff(f51,plain,(
% 0.08/0.24 ! [X0 : $int,X1 : $int] : (cr1w2(X0,X1) | ~w1w2(X0,X1) | (0 != X1 & ~$less(X0,X1)))),
% 0.08/0.24 inference(flattening,[],[f50])).
% 0.08/0.24 tff(f58,plain,(
% 0.08/0.24 ! [X2 : $int,X3 : $int] : ~cr1w2(X2,X3) & ! [X0 : $int,X1 : $int] : (sl1sl2(X0,X1) | ($less(X0,0) | $less(X1,0)))),
% 0.08/0.24 inference(ennf_transformation,[],[f21])).
% 0.08/0.24 tff(f59,plain,(
% 0.08/0.24 ! [X2 : $int,X3 : $int] : ~cr1w2(X2,X3) & ! [X0 : $int,X1 : $int] : (sl1sl2(X0,X1) | $less(X0,0) | $less(X1,0))),
% 0.08/0.24 inference(flattening,[],[f58])).
% 0.08/0.24 tff(f60,plain,(
% 0.08/0.24 ! [X0 : $int,X1 : $int] : ~cr1w2(X0,X1) & ! [X2 : $int,X3 : $int] : (sl1sl2(X2,X3) | $less(X2,0) | $less(X3,0))),
% 0.08/0.24 inference(rectify,[],[f59])).
% 0.08/0.24 tff(f61,plain,(
% 0.08/0.24 ( ! [X0 : $int,X1 : $int] : (~sl1sl2(X0,X1) | sl1w2(X0,$sum(X0,1))) )),
% 0.08/0.24 inference(cnf_transformation,[],[f34])).
% 0.08/0.24 tff(f63,plain,(
% 0.08/0.24 ( ! [X0 : $int,X1 : $int] : (sl1cr2(X0,X1) | ~sl1w2(X0,X1) | 0 != X0) )),
% 0.08/0.24 inference(cnf_transformation,[],[f36])).
% 0.08/0.24 tff(f68,plain,(
% 0.08/0.24 ( ! [X0 : $int,X1 : $int] : (~sl1cr2(X0,X1) | sl1sl2(X0,0)) )),
% 0.08/0.24 inference(cnf_transformation,[],[f41])).
% 0.08/0.24 tff(f73,plain,(
% 0.08/0.24 ( ! [X0 : $int,X1 : $int] : (~sl1sl2(X0,X1) | w1sl2($sum(X1,1),X1)) )),
% 0.08/0.24 inference(cnf_transformation,[],[f46])).
% 0.08/0.24 tff(f76,plain,(
% 0.08/0.24 ( ! [X0 : $int,X1 : $int] : (w1w2(X0,$sum(X0,1)) | ~w1sl2(X0,X1)) )),
% 0.08/0.24 inference(cnf_transformation,[],[f49])).
% 0.08/0.24 tff(f77,plain,(
% 0.08/0.24 ( ! [X0 : $int,X1 : $int] : (cr1w2(X0,X1) | ~w1w2(X0,X1) | ~$less(X0,X1)) )),
% 0.08/0.24 inference(cnf_transformation,[],[f51])).
% 0.08/0.24 tff(f85,plain,(
% 0.08/0.24 ( ! [X2 : $int,X3 : $int] : (sl1sl2(X2,X3) | $less(X2,0) | $less(X3,0)) )),
% 0.08/0.24 inference(cnf_transformation,[],[f60])).
% 0.08/0.24 tff(f86,plain,(
% 0.08/0.24 ( ! [X0 : $int,X1 : $int] : (~cr1w2(X0,X1)) )),
% 0.08/0.24 inference(cnf_transformation,[],[f60])).
% 0.08/0.24 tff(f87,plain,(
% 0.08/0.24 ( ! [X1 : $int] : (~sl1w2(0,X1) | sl1cr2(0,X1)) )),
% 0.08/0.24 inference(equality_resolution,[],[f63])).
% 0.08/0.24 tff(f94,plain,(
% 0.08/0.24 ( ! [X0 : $int,X1 : $int] : (~$less(X0,X1) | ~w1w2(X0,X1)) )),
% 0.08/0.24 inference(global_subsumption,[],[f77,f86])).
% 0.08/0.24 tff(f197,plain,(
% 0.08/0.24 ( ! [X0 : $int] : ($less(X0,$sum(X0,1))) )),
% 0.08/0.24 inference(resolution,[],[f31,f27])).
% 0.08/0.24 tff(f217,definition,(
% 0.08/0.24 spl0_16 <=> ! [X2 : $int] : $less(X2,0)),
% 0.08/0.24 introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition])).
% 0.08/0.24 tff(f218,plain,(
% 0.08/0.24 ( ! [X2 : $int] : ($less(X2,0)) ) | ~spl0_16),
% 0.08/0.24 inference(avatar_component_clause,[],[f217])).
% 0.08/0.24 tff(f219,plain,(
% 0.08/0.24 $false | ~spl0_16),
% 0.08/0.24 inference(resolution,[],[f218,f27])).
% 0.08/0.24 tff(f229,plain,(
% 0.08/0.24 ~spl0_16),
% 0.08/0.24 inference(avatar_contradiction_clause,[],[f219])).
% 0.08/0.24 tff(f263,plain,(
% 0.08/0.24 ( ! [X0 : $int] : (~w1w2(X0,$sum(X0,1))) )),
% 0.08/0.24 inference(resolution,[],[f197,f94])).
% 0.08/0.24 tff(f369,plain,(
% 0.08/0.24 ( ! [X0 : $int,X1 : $int] : (sl1w2(X0,$sum(X0,1)) | $less(X0,0) | $less(X1,0)) )),
% 0.08/0.24 inference(resolution,[],[f61,f85])).
% 0.08/0.24 tff(f381,definition,(
% 0.08/0.24 spl0_26 <=> ! [X0 : $int] : (sl1w2(X0,$sum(X0,1)) | $less(X0,0))),
% 0.08/0.24 introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition])).
% 0.08/0.24 tff(f382,plain,(
% 0.08/0.24 ( ! [X0 : $int] : (sl1w2(X0,$sum(X0,1)) | $less(X0,0)) ) | ~spl0_26),
% 0.08/0.24 inference(avatar_component_clause,[],[f381])).
% 0.08/0.24 tff(f383,plain,(
% 0.08/0.24 spl0_16 | spl0_26),
% 0.08/0.24 inference(avatar_split_clause,[],[f369,f381,f217])).
% 0.08/0.24 tff(f584,plain,(
% 0.08/0.24 sl1cr2(0,$sum(0,1)) | $less(0,0) | ~spl0_26),
% 0.08/0.24 inference(resolution,[],[f87,f382])).
% 0.08/0.24 tff(f588,plain,(
% 0.08/0.24 sl1cr2(0,1) | ~spl0_26),
% 0.08/0.24 inference(evaluation,[],[f584])).
% 0.08/0.24 tff(f597,plain,(
% 0.08/0.24 sl1sl2(0,0) | ~spl0_26),
% 0.08/0.24 inference(resolution,[],[f588,f68])).
% 0.08/0.24 tff(f676,plain,(
% 0.08/0.24 w1sl2($sum(0,1),0) | ~spl0_26),
% 0.08/0.24 inference(resolution,[],[f73,f597])).
% 0.08/0.24 tff(f677,plain,(
% 0.08/0.24 w1sl2(1,0) | ~spl0_26),
% 0.08/0.24 inference(evaluation,[],[f676])).
% 0.08/0.24 tff(f706,plain,(
% 0.08/0.24 ( ! [X0 : $int,X1 : $int] : (~w1sl2(X0,X1)) )),
% 0.08/0.24 inference(forward_subsumption_resolution,[],[f76,f263])).
% 0.08/0.24 tff(f707,plain,(
% 0.08/0.24 $false | ~spl0_26),
% 0.08/0.24 inference(resolution,[],[f706,f677])).
% 0.08/0.24 tff(f718,plain,(
% 0.08/0.24 ~spl0_26),
% 0.08/0.24 inference(avatar_contradiction_clause,[],[f707])).
% 0.08/0.24 cnf(s149, plain, ~spl0_16, inference(sat_conversion,[],[f229])).
% 0.08/0.24 cnf(s263, plain, spl0_16 | spl0_26, inference(sat_conversion,[],[f383])).
% 0.08/0.24 cnf(s493, plain, ~spl0_26, inference(sat_conversion,[],[f718])).
% 0.08/0.24 cnf(s496, plain, spl0_16, inference(rat,[],[s263,s493])).
% 0.08/0.24 cnf(s497, plain, $false, inference(rat,[],[s149,s496])).
% 0.08/0.24 tff(f719,plain,(
% 0.08/0.24 $false),
% 0.08/0.24 inference(avatar_sat_refutation,[],[s497])).
% 0.08/0.24 % SZS output end Proof for theBenchmark
% 0.08/0.24 % (1685894)------------------------------
% 0.08/0.24 % (1685894)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.24 % (1685894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.24 % (1685894)CaDiCaL version: 2.1.3
% 0.08/0.24 % (1685894)Termination reason: Refutation
% 0.08/0.24 % (1685894)Time elapsed: 0.009 s
% 0.08/0.24 % (1685894)Peak memory usage: 13 MB
% 0.08/0.24 % (1685894)Instructions burned: 19 (million)
% 0.08/0.24 % (1685879)Success in time 0.036 s
% 0.08/0.24 % Vampire exiting
%------------------------------------------------------------------------------