%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : DAT104_1 : TPTP v9.3.1. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n002.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 09:48:08 AM UTC 2026
% Result : Theorem 1.14s 0.37s
% Output : Refutation 1.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : DAT104_1 : TPTP v9.3.1. Released v6.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.17 % Computer : n002.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 : Tue Sep 29 00:11:07 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 Running first-order model finding
% 0.09/0.20 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
% 1.14/0.37 % (913349)Will run a generic schedule for satisfiability detection.
% 1.14/0.37 % (913357)dis+10_1_sil=32000:sp=arity:random_seed=3435055245:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.14/0.37 % (913360)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2878207267:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.14/0.37 % (913354)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2785573820_2999 on theBenchmark for (2999ds/0Mi)
% 1.14/0.37 % (913356)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1581632282:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.14/0.37 % (913358)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2096209235:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.14/0.37 % (913359)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=153794977:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.14/0.37 % (913354)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.14/0.37 % (913354)Terminated due to inappropriate strategy.
% 1.14/0.37 % (913354)------------------------------
% 1.14/0.37 % (913354)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.37 % (913354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.37 % (913355)% WARNING: option uhcvi not known.
% 1.14/0.37 % (913354)CaDiCaL version: 2.1.3
% 1.14/0.37 % (913354)Termination reason: Inappropriate
% 1.14/0.37 % (913354)Time elapsed: 0.001 s
% 1.14/0.37 % (913354)Peak memory usage: 10 MB
% 1.14/0.37 % (913354)------------------------------
% 1.14/0.37 % (913354)------------------------------
% 1.14/0.37 % (913355)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2168423771:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.14/0.37 % (913368)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1493991089:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.14/0.37 % (913368)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.14/0.37 % (913368)Terminated due to inappropriate strategy.
% 1.14/0.37 % (913368)------------------------------
% 1.14/0.37 % (913368)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.37 % (913368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.37 % (913368)CaDiCaL version: 2.1.3
% 1.14/0.37 % (913368)Termination reason: Inappropriate
% 1.14/0.37 % (913368)Time elapsed: 0.001 s
% 1.14/0.37 % (913368)Peak memory usage: 11 MB
% 1.14/0.37 % (913368)------------------------------
% 1.14/0.37 % (913368)------------------------------
% 1.14/0.37 % (913370)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1496826670:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.14/0.37 % (913357)Instruction limit reached!
% 1.14/0.37 % (913357)------------------------------
% 1.14/0.37 % (913357)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.37 % (913357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.37 % (913357)CaDiCaL version: 2.1.3
% 1.14/0.37 % (913357)Termination reason: Instruction limit
% 1.14/0.37 % (913357)Termination phase: Saturation
% 1.14/0.37 % (913357)Time elapsed: 0.062 s
% 1.14/0.37 % (913357)Peak memory usage: 12 MB
% 1.14/0.37 % (913357)Instructions burned: 105 (million)
% 1.14/0.37 % (913358)Instruction limit reached!
% 1.14/0.37 % (913358)------------------------------
% 1.14/0.37 % (913358)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.37 % (913358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.37 % (913358)CaDiCaL version: 2.1.3
% 1.14/0.37 % (913358)Termination reason: Instruction limit
% 1.14/0.37 % (913358)Termination phase: Saturation
% 1.14/0.37 % (913358)Time elapsed: 0.070 s
% 1.14/0.37 % (913358)Peak memory usage: 12 MB
% 1.14/0.37 % (913358)Instructions burned: 117 (million)
% 1.14/0.37 % (913372)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1679454608:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 1.14/0.37 % (913359)Instruction limit reached!
% 1.14/0.37 % (913359)------------------------------
% 1.14/0.37 % (913359)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.37 % (913359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.37 % (913359)CaDiCaL version: 2.1.3
% 1.14/0.37 % (913359)Termination reason: Instruction limit
% 1.14/0.37 % (913359)Termination phase: Saturation
% 1.14/0.37 % (913359)Time elapsed: 0.082 s
% 1.14/0.37 % (913359)Peak memory usage: 12 MB
% 1.14/0.37 % (913359)Instructions burned: 132 (million)
% 1.14/0.37 % (913373)ott-21_1_sil=16000:fs=off:random_seed=108934501:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 1.14/0.37 % (913360)Instruction limit reached!
% 1.14/0.37 % (913360)------------------------------
% 1.14/0.37 % (913360)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.37 % (913360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.37 % (913360)CaDiCaL version: 2.1.3
% 1.14/0.37 % (913360)Termination reason: Instruction limit
% 1.14/0.37 % (913360)Termination phase: Saturation
% 1.14/0.37 % (913360)Time elapsed: 0.098 s
% 1.14/0.37 % (913360)Peak memory usage: 13 MB
% 1.14/0.37 % (913360)Instructions burned: 162 (million)
% 1.14/0.37 % (913375)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1831743841:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 1.14/0.37 % (913377)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1046600477:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 1.14/0.37 % (913377)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.14/0.37 % (913377)Terminated due to inappropriate strategy.
% 1.14/0.37 % (913377)------------------------------
% 1.14/0.37 % (913377)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.37 % (913377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.37 % (913377)CaDiCaL version: 2.1.3
% 1.14/0.37 % (913377)Termination reason: Inappropriate
% 1.14/0.37 % (913377)Time elapsed: 0.0000 s
% 1.14/0.37 % (913377)Peak memory usage: 10 MB
% 1.14/0.37 % (913377)------------------------------
% 1.14/0.37 % (913377)------------------------------
% 1.14/0.37 % (913370) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-913349-913370"...
% 1.14/0.37 % (913370)...printing done.
% 1.14/0.37 % (913370)Refutation found. Thanks to Tanya!
% 1.14/0.37 % SZS status Theorem for theBenchmark
% 1.14/0.37 % SZS output start Proof for theBenchmark
% 1.14/0.37 tff(type_def_5, type, list: $tType).
% 1.14/0.37 tff(func_def_0, type, nil: list).
% 1.14/0.37 tff(func_def_1, type, cons: ($int * list) > list).
% 1.14/0.37 tff(func_def_2, type, head: list > $int).
% 1.14/0.37 tff(func_def_3, type, tail: list > list).
% 1.14/0.37 tff(func_def_9, type, sK0: ($int * list) > $int).
% 1.14/0.37 tff(func_def_10, type, sK1: ($int * list) > list).
% 1.14/0.37 tff(pred_def_1, type, inRange: ($int * list) > $o).
% 1.14/0.37 tff(f4,axiom,(
% 1.14/0.37 ! [X0 : $int,X1 : list] : cons(X0,X1) != nil),
% 1.14/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l4)).
% 1.14/0.37 tff(f5,axiom,(
% 1.14/0.37 ! [X0 : $int,X1 : list] : (inRange(X0,X1) <=> (X1 = nil | ? [X2 : $int,X3 : list] : (X1 = cons(X2,X3) & $lesseq(0,X2) & $less(X2,X0) & inRange(X0,X3))))),
% 1.14/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inRange)).
% 1.14/0.37 tff(f6,conjecture,(
% 1.14/0.37 ~ ! [X0 : $int,X1 : list] : (inRange(X0,X1) => inRange($difference(X0,1),X1))),
% 1.14/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c)).
% 1.14/0.37 tff(f7,negated_conjecture,(
% 1.14/0.37 ~ ~ ! [X0 : $int,X1 : list] : (inRange(X0,X1) => inRange($difference(X0,1),X1))),
% 1.14/0.37 inference(negated_conjecture,[status(cth)],[f6])).
% 1.14/0.37 tff(f8,plain,(
% 1.14/0.37 ! [X0 : $int,X1 : list] : (inRange(X0,X1) <=> (X1 = nil | ? [X2 : $int,X3 : list] : (X1 = cons(X2,X3) & ~$less(X2,0) & $less(X2,X0) & inRange(X0,X3))))),
% 1.14/0.37 inference(theory_normalization,[],[f5])).
% 1.14/0.37 tff(f9,plain,(
% 1.14/0.37 ! [X0 : $int,X1 : list] : (inRange(X0,X1) => inRange($sum(X0,$uminus(1)),X1))),
% 1.14/0.37 inference(theory_normalization,[],[f7])).
% 1.14/0.37 tff(f10,definition,(
% 1.14/0.37 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 1.14/0.37 introduced(theory,[tha_commutativity])).
% 1.14/0.37 tff(f11,definition,(
% 1.14/0.37 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 1.14/0.37 introduced(theory,[tha_associativity])).
% 1.14/0.37 tff(f12,definition,(
% 1.14/0.37 ( ! [X0 : $int] : ($sum(X0,0) = X0) )),
% 1.14/0.37 introduced(theory,[tha_right_identity])).
% 1.14/0.37 tff(f15,definition,(
% 1.14/0.37 ( ! [X0 : $int] : (~$less(X0,X0)) )),
% 1.14/0.37 introduced(theory,[tha_non-reflexivity])).
% 1.14/0.37 tff(f19,definition,(
% 1.14/0.37 ( ! [X0 : $int,X1 : $int] : ($less(X1,$sum(X0,1)) | $less(X0,X1)) )),
% 1.14/0.37 introduced(theory,[tha_order_plus_one_dichotomy])).
% 1.14/0.37 tff(f22,plain,(
% 1.14/0.37 ! [X0 : $int,X1 : list] : (inRange($sum(X0,$uminus(1)),X1) | ~inRange(X0,X1))),
% 1.14/0.37 inference(ennf_transformation,[],[f9])).
% 1.14/0.37 tff(f23,plain,(
% 1.14/0.37 ! [X0 : $int,X1 : list] : ((inRange(X0,X1) | (nil != X1 & ! [X2 : $int,X3 : list] : (cons(X2,X3) != X1 | $less(X2,0) | ~$less(X2,X0) | ~inRange(X0,X3)))) & ((X1 = nil | ? [X2 : $int,X3 : list] : (X1 = cons(X2,X3) & ~$less(X2,0) & $less(X2,X0) & inRange(X0,X3))) | ~inRange(X0,X1)))),
% 1.14/0.37 inference(nnf_transformation,[],[f8])).
% 1.14/0.37 tff(f24,plain,(
% 1.14/0.37 ! [X0 : $int,X1 : list] : ((inRange(X0,X1) | (nil != X1 & ! [X2 : $int,X3 : list] : (cons(X2,X3) != X1 | $less(X2,0) | ~$less(X2,X0) | ~inRange(X0,X3)))) & (X1 = nil | ? [X2 : $int,X3 : list] : (X1 = cons(X2,X3) & ~$less(X2,0) & $less(X2,X0) & inRange(X0,X3)) | ~inRange(X0,X1)))),
% 1.14/0.37 inference(flattening,[],[f23])).
% 1.14/0.37 tff(f25,plain,(
% 1.14/0.37 ! [X0 : $int,X1 : list] : ((inRange(X0,X1) | (nil != X1 & ! [X2 : $int,X3 : list] : (cons(X2,X3) != X1 | $less(X2,0) | ~$less(X2,X0) | ~inRange(X0,X3)))) & (X1 = nil | ? [X4 : $int,X5 : list] : (cons(X4,X5) = X1 & ~$less(X4,0) & $less(X4,X0) & inRange(X0,X5)) | ~inRange(X0,X1)))),
% 1.14/0.37 inference(rectify,[],[f24])).
% 1.14/0.37 tff(f26,plain,(
% 1.14/0.37 ! [X0 : $int,X1 : list] : ((inRange(X0,X1) | (nil != X1 & ! [X2 : $int,X3 : list] : (cons(X2,X3) != X1 | $less(X2,0) | ~$less(X2,X0) | ~inRange(X0,X3)))) & (X1 = nil | (cons(sK0(X0,X1),sK1(X0,X1)) = X1 & ~$less(sK0(X0,X1),0) & $less(sK0(X0,X1),X0) & inRange(X0,sK1(X0,X1))) | ~inRange(X0,X1)))),
% 1.14/0.37 inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X4,sK0(X0,X1)),skolemize(X5,sK1(X0,X1))],[f25])).
% 1.14/0.37 tff(f30,plain,(
% 1.14/0.37 ( ! [X0 : $int,X1 : list] : (cons(X0,X1) != nil) )),
% 1.14/0.37 inference(cnf_transformation,[],[f4])).
% 1.14/0.37 tff(f32,plain,(
% 1.14/0.37 ( ! [X0 : $int,X1 : list] : (~inRange(X0,X1) | $less(sK0(X0,X1),X0) | nil = X1) )),
% 1.14/0.37 inference(cnf_transformation,[],[f26])).
% 1.14/0.37 tff(f33,plain,(
% 1.14/0.37 ( ! [X0 : $int,X1 : list] : (~inRange(X0,X1) | ~$less(sK0(X0,X1),0) | nil = X1) )),
% 1.14/0.37 inference(cnf_transformation,[],[f26])).
% 1.14/0.37 tff(f35,plain,(
% 1.14/0.37 ( ! [X2 : $int,X3 : list,X0 : $int,X1 : list] : (inRange(X0,X1) | cons(X2,X3) != X1 | $less(X2,0) | ~$less(X2,X0) | ~inRange(X0,X3)) )),
% 1.14/0.37 inference(cnf_transformation,[],[f26])).
% 1.14/0.37 tff(f36,plain,(
% 1.14/0.37 ( ! [X0 : $int,X1 : list] : (inRange(X0,X1) | nil != X1) )),
% 1.14/0.37 inference(cnf_transformation,[],[f26])).
% 1.14/0.37 tff(f37,plain,(
% 1.14/0.37 ( ! [X0 : $int,X1 : list] : (inRange($sum(X0,$uminus(1)),X1) | ~inRange(X0,X1)) )),
% 1.14/0.37 inference(cnf_transformation,[],[f22])).
% 1.14/0.37 tff(f38,plain,(
% 1.14/0.37 ( ! [X0 : $int] : (inRange(X0,nil)) )),
% 1.14/0.37 inference(equality_resolution,[],[f36])).
% 1.14/0.37 tff(f39,plain,(
% 1.14/0.37 ( ! [X2 : $int,X3 : list,X0 : $int] : (~inRange(X0,X3) | $less(X2,0) | ~$less(X2,X0) | inRange(X0,cons(X2,X3))) )),
% 1.14/0.37 inference(equality_resolution,[],[f35])).
% 1.14/0.37 tff(f40,plain,(
% 1.14/0.37 ( ! [X0 : $int,X1 : list] : (~inRange(X0,X1) | inRange($sum(X0,-1),X1)) )),
% 1.14/0.37 inference(evaluation,[],[f37])).
% 1.14/0.37 tff(f48,plain,(
% 1.14/0.37 ( ! [X0 : $int] : ($less(X0,$sum(X0,1))) )),
% 1.14/0.37 inference(resolution,[],[f19,f15])).
% 1.14/0.37 tff(f142,plain,(
% 1.14/0.37 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum(X2,$sum(X0,X1))) )),
% 1.14/0.37 inference(superposition,[],[f10,f11])).
% 1.14/0.37 tff(f200,plain,(
% 1.14/0.37 ( ! [X0 : $int,X1 : $int] : (~$less(X0,X1) | $less(X0,0) | inRange(X1,cons(X0,nil))) )),
% 1.14/0.37 inference(resolution,[],[f39,f38])).
% 1.14/0.37 tff(f602,plain,(
% 1.14/0.37 ( ! [X0 : $int] : (inRange($sum(X0,1),cons(X0,nil)) | $less(X0,0)) )),
% 1.14/0.37 inference(resolution,[],[f200,f48])).
% 1.14/0.37 tff(f2156,plain,(
% 1.14/0.37 ( ! [X0 : $int] : ($less(X0,0) | inRange($sum($sum(X0,1),-1),cons(X0,nil))) )),
% 1.14/0.37 inference(resolution,[],[f602,f40])).
% 1.14/0.37 tff(f2161,plain,(
% 1.14/0.37 ( ! [X0 : $int] : (inRange($sum(-1,$sum(X0,1)),cons(X0,nil)) | $less(X0,0)) )),
% 1.14/0.37 inference(forward_demodulation,[],[f2156,f10])).
% 1.14/0.37 tff(f2166,plain,(
% 1.14/0.37 ( ! [X0 : $int] : (inRange($sum(1,$sum(-1,X0)),cons(X0,nil)) | $less(X0,0)) )),
% 1.14/0.37 inference(forward_demodulation,[],[f2161,f142])).
% 1.14/0.37 tff(f2175,plain,(
% 1.14/0.37 inRange($sum(1,-1),cons(0,nil)) | $less(0,0)),
% 1.14/0.37 inference(superposition,[],[f2166,f12])).
% 1.14/0.37 tff(f2189,plain,(
% 1.14/0.37 inRange(0,cons(0,nil))),
% 1.14/0.37 inference(evaluation,[],[f2175])).
% 1.14/0.37 tff(f2301,plain,(
% 1.14/0.37 ~$less(sK0(0,cons(0,nil)),0) | nil = cons(0,nil)),
% 1.14/0.37 inference(resolution,[],[f2189,f33])).
% 1.14/0.37 tff(f2302,plain,(
% 1.14/0.37 $less(sK0(0,cons(0,nil)),0) | nil = cons(0,nil)),
% 1.14/0.37 inference(resolution,[],[f2189,f32])).
% 1.14/0.37 tff(f2307,plain,(
% 1.14/0.37 $less(sK0(0,cons(0,nil)),0)),
% 1.14/0.37 inference(forward_subsumption_resolution,[],[f2302,f30])).
% 1.14/0.37 tff(f2308,plain,(
% 1.14/0.37 ~$less(sK0(0,cons(0,nil)),0)),
% 1.14/0.37 inference(forward_subsumption_resolution,[],[f2301,f30])).
% 1.14/0.37 tff(f2310,plain,(
% 1.14/0.37 $false),
% 1.14/0.37 inference(forward_subsumption_resolution,[],[f2308,f2307])).
% 1.14/0.37 % SZS output end Proof for theBenchmark
% 1.14/0.37 % (913370)------------------------------
% 1.14/0.37 % (913370)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.14/0.37 % (913370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.14/0.37 % (913370)CaDiCaL version: 2.1.3
% 1.14/0.37 % (913370)Termination reason: Refutation
% 1.14/0.37 % (913370)Time elapsed: 0.084 s
% 1.14/0.37 % (913370)Peak memory usage: 13 MB
% 1.14/0.37 % (913370)Instructions burned: 126 (million)
% 1.14/0.37 % (913349)Success in time 0.162 s
% 1.14/0.37 % Vampire exiting
%------------------------------------------------------------------------------