%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWW581_2 : TPTP v9.3.1. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n016.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 01:40:28 PM UTC 2026
% Result : Theorem 0.19s 0.28s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW581_2 : TPTP v9.3.1. Released v6.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20 % Computer : n016.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 14:24:48 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 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
% 0.19/0.28 % (3655272)Will run a generic schedule for satisfiability detection.
% 0.19/0.28 % (3655281)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=693134742:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.28 % (3655278)% WARNING: option uhcvi not known.
% 0.19/0.28 % (3655278)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3392959641:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.28 % (3655277)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1387928298_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.28 % (3655280)dis+10_1_sil=32000:sp=arity:random_seed=1208964653:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.28 % (3655279)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1796607485:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.28 % (3655282)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4003471812:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.28 % (3655283)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2472465528:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.28 % (3655277)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.28 % (3655277)Terminated due to inappropriate strategy.
% 0.19/0.28 % (3655277)------------------------------
% 0.19/0.28 % (3655277)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.28 % (3655277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.28 % (3655277)CaDiCaL version: 2.1.3
% 0.19/0.28 % (3655277)Termination reason: Inappropriate
% 0.19/0.28 % (3655277)Time elapsed: 0.001 s
% 0.19/0.28 % (3655277)Peak memory usage: 10 MB
% 0.19/0.28 % (3655277)Instructions burned: 1 (million)
% 0.19/0.28 % (3655277)------------------------------
% 0.19/0.28 % (3655277)------------------------------
% 0.19/0.28 % (3655281) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3655272-3655281"...
% 0.19/0.28 % (3655281)...printing done.
% 0.19/0.28 % (3655281)Refutation found. Thanks to Tanya!
% 0.19/0.28 % SZS status Theorem for theBenchmark
% 0.19/0.28 % SZS output start Proof for theBenchmark
% 0.19/0.28 tff(type_def_5, type, uni: $tType).
% 0.19/0.28 tff(type_def_6, type, ty: $tType).
% 0.19/0.28 tff(type_def_7, type, bool: $tType).
% 0.19/0.28 tff(type_def_8, type, tuple0: $tType).
% 0.19/0.28 tff(func_def_0, type, witness: ty > uni).
% 0.19/0.28 tff(func_def_1, type, int: ty).
% 0.19/0.28 tff(func_def_2, type, real: ty).
% 0.19/0.28 tff(func_def_3, type, bool1: ty).
% 0.19/0.28 tff(func_def_4, type, true: bool).
% 0.19/0.28 tff(func_def_5, type, false: bool).
% 0.19/0.28 tff(func_def_6, type, match_bool: (ty * bool * uni * uni) > uni).
% 0.19/0.28 tff(func_def_7, type, tuple01: ty).
% 0.19/0.28 tff(func_def_8, type, tuple02: tuple0).
% 0.19/0.28 tff(func_def_9, type, qtmark: ty).
% 0.19/0.28 tff(func_def_12, type, fact: $int > $int).
% 0.19/0.28 tff(func_def_15, type, ref: ty > ty).
% 0.19/0.28 tff(func_def_16, type, mk_ref: (ty * uni) > uni).
% 0.19/0.28 tff(func_def_17, type, contents: (ty * uni) > uni).
% 0.19/0.28 tff(func_def_20, type, sK0: $int).
% 0.19/0.28 tff(func_def_21, type, sK1: $int).
% 0.19/0.28 tff(func_def_22, type, sK2: $int).
% 0.19/0.28 tff(func_def_23, type, sK3: $int).
% 0.19/0.28 tff(func_def_24, type, sK4: $int).
% 0.19/0.28 tff(func_def_25, type, sK5: $int).
% 0.19/0.28 tff(pred_def_1, type, sort: (ty * uni) > $o).
% 0.19/0.28 tff(f10,axiom,(
% 0.19/0.28 ! [X0 : $int] : ($lesseq(1,X0) => fact(X0) = $product(X0,fact($difference(X0,1))))),
% 0.19/0.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p',factn)).
% 0.19/0.28 tff(f15,conjecture,(
% 0.19/0.28 ! [X0 : $int] : ($lesseq(0,X0) => ! [X1 : $int,X2 : $int] : (($lesseq(0,X2) & $lesseq(X2,X0) & X1 = fact(X2)) => ($less(X2,X0) => ! [X3 : $int,X4 : $int] : (($lesseq(1,X3) & $lesseq(X3,$sum(X2,1)) & X4 = $product(X3,fact(X2))) => (~$lesseq(X3,X2) => ! [X5 : $int] : (X5 = $sum(X2,1) => ($lesseq(0,X5) & $lesseq(X5,X0) & X4 = fact(X5))))))))),
% 0.19/0.28 file('/export/starexec/sandbox/benchmark/theBenchmark.p',wP_parameter_routine)).
% 0.19/0.28 tff(f16,negated_conjecture,(
% 0.19/0.28 ~ ! [X0 : $int] : ($lesseq(0,X0) => ! [X1 : $int,X2 : $int] : (($lesseq(0,X2) & $lesseq(X2,X0) & X1 = fact(X2)) => ($less(X2,X0) => ! [X3 : $int,X4 : $int] : (($lesseq(1,X3) & $lesseq(X3,$sum(X2,1)) & X4 = $product(X3,fact(X2))) => (~$lesseq(X3,X2) => ! [X5 : $int] : (X5 = $sum(X2,1) => ($lesseq(0,X5) & $lesseq(X5,X0) & X4 = fact(X5))))))))),
% 0.19/0.28 inference(negated_conjecture,[status(cth)],[f15])).
% 0.19/0.28 tff(f18,plain,(
% 0.19/0.28 ! [X0 : $int] : (~$less(X0,1) => fact(X0) = $product(X0,fact($sum(X0,$uminus(1)))))),
% 0.19/0.28 inference(theory_normalization,[],[f10])).
% 0.19/0.28 tff(f19,plain,(
% 0.19/0.28 ~ ! [X0 : $int] : (~$less(X0,0) => ! [X1 : $int,X2 : $int] : ((~$less(X2,0) & ~$less(X0,X2) & X1 = fact(X2)) => ($less(X2,X0) => ! [X3 : $int,X4 : $int] : ((~$less(X3,1) & ~$less($sum(X2,1),X3) & X4 = $product(X3,fact(X2))) => ($less(X2,X3) => ! [X5 : $int] : (X5 = $sum(X2,1) => (~$less(X5,0) & ~$less(X0,X5) & X4 = fact(X5))))))))),
% 0.19/0.28 inference(theory_normalization,[],[f16])).
% 0.19/0.28 tff(f20,definition,(
% 0.19/0.28 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 0.19/0.28 introduced(theory,[tha_commutativity])).
% 0.19/0.28 tff(f21,definition,(
% 0.19/0.28 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 0.19/0.28 introduced(theory,[tha_associativity])).
% 0.19/0.28 tff(f24,definition,(
% 0.19/0.28 ( ! [X0 : $int] : (0 = $sum(X0,$uminus(X0))) )),
% 0.19/0.28 introduced(theory,[tha_inverse_op_unit])).
% 0.19/0.28 tff(f26,definition,(
% 0.19/0.28 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(X0,X1) | ~$less(X1,X2) | $less(X0,X2)) )),
% 0.19/0.28 introduced(theory,[tha_transitivity])).
% 0.19/0.28 tff(f27,definition,(
% 0.19/0.28 ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,X0) | X0 = X1) )),
% 0.19/0.28 introduced(theory,[tha_order_totality])).
% 0.19/0.28 tff(f29,definition,(
% 0.19/0.28 ( ! [X0 : $int,X1 : $int] : ($less(X1,$sum(X0,1)) | $less(X0,X1)) )),
% 0.19/0.28 introduced(theory,[tha_order_plus_one_dichotomy])).
% 0.19/0.28 tff(f37,definition,(
% 0.19/0.28 ( ! [X0 : $int,X1 : $int] : (~$less(X1,$sum(X0,1)) | ~$less(X0,X1)) )),
% 0.19/0.28 introduced(theory,[tha_extra_integer_ordering])).
% 0.19/0.28 tff(f42,plain,(
% 0.19/0.28 ! [X0 : $int] : (fact(X0) = $product(X0,fact($sum(X0,$uminus(1)))) | $less(X0,1))),
% 0.19/0.28 inference(ennf_transformation,[],[f18])).
% 0.19/0.28 tff(f45,plain,(
% 0.19/0.28 ? [X0 : $int] : (? [X1 : $int,X2 : $int] : ((? [X3 : $int,X4 : $int] : ((? [X5 : $int] : (($less(X5,0) | $less(X0,X5) | fact(X5) != X4) & X5 = $sum(X2,1)) & $less(X2,X3)) & (~$less(X3,1) & ~$less($sum(X2,1),X3) & X4 = $product(X3,fact(X2)))) & $less(X2,X0)) & (~$less(X2,0) & ~$less(X0,X2) & X1 = fact(X2))) & ~$less(X0,0))),
% 0.19/0.28 inference(ennf_transformation,[],[f19])).
% 0.19/0.28 tff(f46,plain,(
% 0.19/0.28 ? [X0 : $int] : (? [X1 : $int,X2 : $int] : (? [X3 : $int,X4 : $int] : (? [X5 : $int] : (($less(X5,0) | $less(X0,X5) | fact(X5) != X4) & X5 = $sum(X2,1)) & $less(X2,X3) & ~$less(X3,1) & ~$less($sum(X2,1),X3) & X4 = $product(X3,fact(X2))) & $less(X2,X0) & ~$less(X2,0) & ~$less(X0,X2) & X1 = fact(X2)) & ~$less(X0,0))),
% 0.19/0.28 inference(flattening,[],[f45])).
% 0.19/0.28 tff(f56,plain,(
% 0.19/0.28 ( ! [X0 : $int] : ($less(X0,1) | fact(X0) = $product(X0,fact($sum(X0,$uminus(1))))) )),
% 0.19/0.28 inference(cnf_transformation,[],[f42])).
% 0.19/0.28 tff(f61,plain,(
% 0.19/0.28 sK4 != fact(sK5) | $less(sK0,sK5) | $less(sK5,0)),
% 0.19/0.28 inference(cnf_transformation,[],[f46])).
% 0.19/0.28 tff(f62,plain,(
% 0.19/0.28 sK5 = $sum(sK2,1)),
% 0.19/0.28 inference(cnf_transformation,[],[f46])).
% 0.19/0.28 tff(f63,plain,(
% 0.19/0.28 sK4 = $product(sK3,fact(sK2))),
% 0.19/0.28 inference(cnf_transformation,[],[f46])).
% 0.19/0.28 tff(f64,plain,(
% 0.19/0.28 ~$less($sum(sK2,1),sK3)),
% 0.19/0.28 inference(cnf_transformation,[],[f46])).
% 0.19/0.28 tff(f65,plain,(
% 0.19/0.28 ~$less(sK3,1)),
% 0.19/0.28 inference(cnf_transformation,[],[f46])).
% 0.19/0.28 tff(f66,plain,(
% 0.19/0.28 $less(sK2,sK3)),
% 0.19/0.28 inference(cnf_transformation,[],[f46])).
% 0.19/0.28 tff(f69,plain,(
% 0.19/0.28 ~$less(sK2,0)),
% 0.19/0.28 inference(cnf_transformation,[],[f46])).
% 0.19/0.28 tff(f70,plain,(
% 0.19/0.28 $less(sK2,sK0)),
% 0.19/0.28 inference(cnf_transformation,[],[f46])).
% 0.19/0.28 tff(f73,plain,(
% 0.19/0.28 ( ! [X0 : $int] : ($less(X0,1) | fact(X0) = $product(X0,fact($sum(X0,-1)))) )),
% 0.19/0.28 inference(evaluation,[],[f56])).
% 0.19/0.28 tff(f75,definition,(
% 0.19/0.28 spl6_1 <=> $less(sK5,0)),
% 0.19/0.28 introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition])).
% 0.19/0.28 tff(f77,plain,(
% 0.19/0.28 $less(sK5,0) | ~spl6_1),
% 0.19/0.28 inference(avatar_component_clause,[],[f75])).
% 0.19/0.28 tff(f79,definition,(
% 0.19/0.28 spl6_2 <=> $less(sK0,sK5)),
% 0.19/0.28 introduced(definition,[new_symbols(definition,[spl6_2])],[avatar_definition])).
% 0.19/0.28 tff(f81,plain,(
% 0.19/0.28 $less(sK0,sK5) | ~spl6_2),
% 0.19/0.28 inference(avatar_component_clause,[],[f79])).
% 0.19/0.28 tff(f83,definition,(
% 0.19/0.28 spl6_3 <=> sK4 = fact(sK5)),
% 0.19/0.28 introduced(definition,[new_symbols(definition,[spl6_3])],[avatar_definition])).
% 0.19/0.28 tff(f85,plain,(
% 0.19/0.28 sK4 != fact(sK5) | spl6_3),
% 0.19/0.28 inference(avatar_component_clause,[],[f83])).
% 0.19/0.28 tff(f86,plain,(
% 0.19/0.28 spl6_1 | spl6_2 | ~spl6_3),
% 0.19/0.28 inference(avatar_split_clause,[],[f61,f83,f79,f75])).
% 0.19/0.28 tff(f87,plain,(
% 0.19/0.28 ~$less(sK5,sK3)),
% 0.19/0.28 inference(forward_demodulation,[],[f64,f62])).
% 0.19/0.28 tff(f114,plain,(
% 0.19/0.28 ( ! [X0 : $int] : ($less(X0,sK5) | $less(sK2,X0)) )),
% 0.19/0.28 inference(superposition,[],[f29,f62])).
% 0.19/0.28 tff(f118,plain,(
% 0.19/0.28 ( ! [X0 : $int] : (~$less(X0,sK5) | ~$less(sK2,X0)) )),
% 0.19/0.28 inference(superposition,[],[f37,f62])).
% 0.19/0.28 tff(f122,plain,(
% 0.19/0.28 $less(0,sK5)),
% 0.19/0.28 inference(resolution,[],[f114,f69])).
% 0.19/0.28 tff(f150,plain,(
% 0.19/0.28 $less(sK3,sK5) | sK3 = sK5),
% 0.19/0.28 inference(resolution,[],[f27,f87])).
% 0.19/0.28 tff(f161,definition,(
% 0.19/0.28 spl6_4 <=> sK3 = sK5),
% 0.19/0.28 introduced(definition,[new_symbols(definition,[spl6_4])],[avatar_definition])).
% 0.19/0.28 tff(f163,plain,(
% 0.19/0.28 sK3 = sK5 | ~spl6_4),
% 0.19/0.28 inference(avatar_component_clause,[],[f161])).
% 0.19/0.28 tff(f165,definition,(
% 0.19/0.28 spl6_5 <=> $less(sK3,sK5)),
% 0.19/0.28 introduced(definition,[new_symbols(definition,[spl6_5])],[avatar_definition])).
% 0.19/0.28 tff(f167,plain,(
% 0.19/0.28 $less(sK3,sK5) | ~spl6_5),
% 0.19/0.28 inference(avatar_component_clause,[],[f165])).
% 0.19/0.28 tff(f196,plain,(
% 0.19/0.28 spl6_4 | spl6_5),
% 0.19/0.28 inference(avatar_split_clause,[],[f150,f165,f161])).
% 0.19/0.28 tff(f202,plain,(
% 0.19/0.28 sK4 != fact(sK3) | (spl6_3 | ~spl6_4)),
% 0.19/0.28 inference(superposition,[],[f85,f163])).
% 0.19/0.28 tff(f310,plain,(
% 0.19/0.28 ( ! [X0 : $int,X1 : $int] : ($sum(0,X1) = $sum(X0,$sum($uminus(X0),X1))) )),
% 0.19/0.28 inference(superposition,[],[f21,f24])).
% 0.19/0.28 tff(f316,plain,(
% 0.19/0.28 ( ! [X0 : $int] : ($sum(sK5,X0) = $sum(sK2,$sum(1,X0))) )),
% 0.19/0.28 inference(superposition,[],[f21,f62])).
% 0.19/0.28 tff(f324,plain,(
% 0.19/0.28 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum(X2,$sum(X0,X1))) )),
% 0.19/0.28 inference(superposition,[],[f20,f21])).
% 0.19/0.28 tff(f329,plain,(
% 0.19/0.28 ( ! [X0 : $int,X1 : $int] : ($sum(X0,$sum($uminus(X0),X1)) = X1) )),
% 0.19/0.28 inference(evaluation,[],[f310])).
% 0.19/0.28 tff(f330,plain,(
% 0.19/0.28 ( ! [X0 : $int] : ($sum(sK5,X0) = $sum(1,$sum(X0,sK2))) )),
% 0.19/0.28 inference(forward_demodulation,[],[f316,f324])).
% 0.19/0.28 tff(f333,plain,(
% 0.19/0.28 ( ! [X0 : $int] : ($sum(1,$sum(X0,sK2)) = $sum(sK3,X0)) ) | ~spl6_4),
% 0.19/0.28 inference(forward_demodulation,[],[f330,f163])).
% 0.19/0.28 tff(f364,plain,(
% 0.19/0.28 ( ! [X0 : $int] : (~$less(X0,0) | $less(X0,sK5)) )),
% 0.19/0.28 inference(resolution,[],[f122,f26])).
% 0.19/0.28 tff(f367,plain,(
% 0.19/0.28 ( ! [X0 : $int] : ($less(X0,sK3) | ~$less(X0,0)) ) | ~spl6_4),
% 0.19/0.28 inference(forward_demodulation,[],[f364,f163])).
% 0.19/0.28 tff(f372,plain,(
% 0.19/0.28 fact(sK3) = $product(sK3,fact($sum(sK3,-1)))),
% 0.19/0.28 inference(resolution,[],[f73,f65])).
% 0.19/0.28 tff(f374,plain,(
% 0.19/0.28 fact(sK3) = $product(sK3,fact($sum(-1,sK3)))),
% 0.19/0.28 inference(forward_demodulation,[],[f372,f20])).
% 0.19/0.28 tff(f699,definition,(
% 0.19/0.28 spl6_23 <=> $less(sK3,0)),
% 0.19/0.28 introduced(definition,[new_symbols(definition,[spl6_23])],[avatar_definition])).
% 0.19/0.28 tff(f700,plain,(
% 0.19/0.28 $less(sK3,0) | ~spl6_23),
% 0.19/0.28 inference(avatar_component_clause,[],[f699])).
% 0.19/0.28 tff(f701,plain,(
% 0.19/0.28 ~$less(sK3,0) | spl6_23),
% 0.19/0.28 inference(avatar_component_clause,[],[f699])).
% 0.19/0.28 tff(f895,plain,(
% 0.19/0.28 ~$less(sK5,0) | ~spl6_4),
% 0.19/0.28 inference(resolution,[],[f367,f87])).
% 0.19/0.28 tff(f897,plain,(
% 0.19/0.28 ~$less(sK3,0) | ~spl6_4),
% 0.19/0.28 inference(forward_demodulation,[],[f895,f163])).
% 0.19/0.28 tff(f911,plain,(
% 0.19/0.28 sK2 = $sum(sK3,$uminus(1)) | ~spl6_4),
% 0.19/0.28 inference(superposition,[],[f333,f329])).
% 0.19/0.28 tff(f917,plain,(
% 0.19/0.28 sK2 = $sum(sK3,-1) | ~spl6_4),
% 0.19/0.28 inference(evaluation,[],[f911])).
% 0.19/0.28 tff(f919,plain,(
% 0.19/0.28 sK2 = $sum(-1,sK3) | ~spl6_4),
% 0.19/0.28 inference(forward_demodulation,[],[f917,f20])).
% 0.19/0.28 tff(f924,plain,(
% 0.19/0.28 $product(sK3,fact(sK2)) = fact(sK3) | ~spl6_4),
% 0.19/0.28 inference(superposition,[],[f374,f919])).
% 0.19/0.28 tff(f928,plain,(
% 0.19/0.28 sK4 = fact(sK3) | ~spl6_4),
% 0.19/0.28 inference(forward_demodulation,[],[f924,f63])).
% 0.19/0.28 tff(f930,plain,(
% 0.19/0.28 $false | (spl6_3 | ~spl6_4)),
% 0.19/0.28 inference(forward_subsumption_resolution,[],[f928,f202])).
% 0.19/0.28 tff(f931,plain,(
% 0.19/0.28 spl6_3 | ~spl6_4),
% 0.19/0.28 inference(avatar_contradiction_clause,[],[f930])).
% 0.19/0.28 tff(f954,plain,(
% 0.19/0.28 ~$less(sK2,sK3) | ~spl6_5),
% 0.19/0.28 inference(resolution,[],[f167,f118])).
% 0.19/0.28 tff(f956,plain,(
% 0.19/0.28 $false | ~spl6_5),
% 0.19/0.28 inference(forward_subsumption_resolution,[],[f954,f66])).
% 0.19/0.28 tff(f957,plain,(
% 0.19/0.28 ~spl6_5),
% 0.19/0.28 inference(avatar_contradiction_clause,[],[f956])).
% 0.19/0.28 tff(f959,plain,(
% 0.19/0.28 ~$less(sK2,sK0) | ~spl6_2),
% 0.19/0.28 inference(resolution,[],[f81,f118])).
% 0.19/0.28 tff(f962,plain,(
% 0.19/0.28 $false | ~spl6_2),
% 0.19/0.28 inference(forward_subsumption_resolution,[],[f959,f70])).
% 0.19/0.28 tff(f963,plain,(
% 0.19/0.28 ~spl6_2),
% 0.19/0.28 inference(avatar_contradiction_clause,[],[f962])).
% 0.19/0.28 tff(f964,plain,(
% 0.19/0.28 $less(sK3,0) | (~spl6_1 | ~spl6_4)),
% 0.19/0.28 inference(forward_demodulation,[],[f77,f163])).
% 0.19/0.28 tff(f969,plain,(
% 0.19/0.28 $false | (~spl6_1 | ~spl6_4 | spl6_23)),
% 0.19/0.28 inference(forward_subsumption_resolution,[],[f964,f701])).
% 0.19/0.28 tff(f970,plain,(
% 0.19/0.28 ~spl6_1 | ~spl6_4 | spl6_23),
% 0.19/0.28 inference(avatar_contradiction_clause,[],[f969])).
% 0.19/0.28 tff(f974,plain,(
% 0.19/0.28 $false | (~spl6_4 | ~spl6_23)),
% 0.19/0.28 inference(forward_subsumption_resolution,[],[f897,f700])).
% 0.19/0.28 tff(f975,plain,(
% 0.19/0.28 ~spl6_4 | ~spl6_23),
% 0.19/0.28 inference(avatar_contradiction_clause,[],[f974])).
% 0.19/0.28 cnf(s1, plain, spl6_1 | spl6_2 | ~spl6_3, inference(sat_conversion,[],[f86])).
% 0.19/0.28 cnf(s6, plain, spl6_4 | spl6_5, inference(sat_conversion,[],[f196])).
% 0.19/0.28 cnf(s33, plain, spl6_3 | ~spl6_4, inference(sat_conversion,[],[f931])).
% 0.19/0.28 cnf(s37, plain, ~spl6_5, inference(sat_conversion,[],[f957])).
% 0.19/0.28 cnf(s38, plain, ~spl6_2, inference(sat_conversion,[],[f963])).
% 0.19/0.28 cnf(s39, plain, ~spl6_1 | ~spl6_4 | spl6_23, inference(sat_conversion,[],[f970])).
% 0.19/0.28 cnf(s41, plain, ~spl6_4 | ~spl6_23, inference(sat_conversion,[],[f975])).
% 0.19/0.28 cnf(s43, plain, spl6_4, inference(rat,[],[s6,s37])).
% 0.19/0.28 cnf(s44, plain, ~spl6_23, inference(rat,[],[s41,s43])).
% 0.19/0.28 cnf(s45, plain, ~spl6_1, inference(rat,[],[s39,s44,s43])).
% 0.19/0.28 cnf(s46, plain, spl6_3, inference(rat,[],[s33,s43])).
% 0.19/0.28 cnf(s47, plain, $false, inference(rat,[],[s1,s46,s38,s45])).
% 0.19/0.28 tff(f976,plain,(
% 0.19/0.28 $false),
% 0.19/0.28 inference(avatar_sat_refutation,[],[s47])).
% 0.19/0.28 % SZS output end Proof for theBenchmark
% 0.19/0.28 % (3655281)------------------------------
% 0.19/0.28 % (3655281)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.28 % (3655281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.28 % (3655281)CaDiCaL version: 2.1.3
% 0.19/0.28 % (3655281)Termination reason: Refutation
% 0.19/0.28 % (3655281)Time elapsed: 0.015 s
% 0.19/0.28 % (3655281)Peak memory usage: 13 MB
% 0.19/0.28 % (3655281)Instructions burned: 38 (million)
% 0.19/0.28 % (3655272)Success in time 0.045 s
% 0.19/0.28 % Vampire exiting
%------------------------------------------------------------------------------