%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : DAT026_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n018.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 09:47:59 AM UTC 2026
% Result : Theorem 0.20s 0.29s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : DAT026_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.17 % Computer : n018.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Tue Sep 29 00:08:11 UTC 2026
% 0.07/0.17 % CPUTime :
% 0.07/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.21 Running first-order model finding
% 0.07/0.21 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
% 0.20/0.29 % (3910288)Will run a generic schedule for satisfiability detection.
% 0.20/0.29 % (3910295)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=516100858:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.29 % (3910294)% WARNING: option uhcvi not known.
% 0.20/0.29 % (3910293)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3664131346_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.29 % (3910294)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3460250584:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.29 % (3910296)dis+10_1_sil=32000:sp=arity:random_seed=4097382244:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.29 % (3910293)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.29 % (3910297)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=478262779:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.29 % (3910293)Terminated due to inappropriate strategy.
% 0.20/0.29 % (3910293)------------------------------
% 0.20/0.29 % (3910293)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.29 % (3910293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.29 % (3910293)CaDiCaL version: 2.1.3
% 0.20/0.29 % (3910293)Termination reason: Inappropriate
% 0.20/0.29 % (3910293)Time elapsed: 0.001 s
% 0.20/0.29 % (3910293)Peak memory usage: 10 MB
% 0.20/0.29 % (3910298)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1638317294:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.29 % (3910299)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2648545607:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.29 % (3910293)------------------------------
% 0.20/0.29 % (3910293)------------------------------
% 0.20/0.29 % (3910307)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=991612856:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.20/0.29 % (3910307)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.29 % (3910307)Terminated due to inappropriate strategy.
% 0.20/0.29 % (3910307)------------------------------
% 0.20/0.29 % (3910307)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.29 % (3910307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.29 % (3910307)CaDiCaL version: 2.1.3
% 0.20/0.29 % (3910307)Termination reason: Inappropriate
% 0.20/0.29 % (3910307)Time elapsed: 0.0000 s
% 0.20/0.29 % (3910307)Peak memory usage: 10 MB
% 0.20/0.29 % (3910307)------------------------------
% 0.20/0.29 % (3910307)------------------------------
% 0.20/0.29 % (3910296) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3910288-3910296"...
% 0.20/0.29 % (3910296)...printing done.
% 0.20/0.29 % (3910296)Refutation found. Thanks to Tanya!
% 0.20/0.29 % SZS status Theorem for theBenchmark
% 0.20/0.29 % SZS output start Proof for theBenchmark
% 0.20/0.29 tff(type_def_5, type, collection: $tType).
% 0.20/0.29 tff(func_def_0, type, empty: collection).
% 0.20/0.29 tff(func_def_1, type, add: ($int * collection) > collection).
% 0.20/0.29 tff(func_def_2, type, remove: ($int * collection) > collection).
% 0.20/0.29 tff(func_def_8, type, sK0: collection).
% 0.20/0.29 tff(func_def_9, type, sK1: collection).
% 0.20/0.29 tff(func_def_10, type, sK2: $int).
% 0.20/0.29 tff(func_def_11, type, sK3: $int).
% 0.20/0.29 tff(pred_def_1, type, in: ($int * collection) > $o).
% 0.20/0.29 tff(f4,axiom,(
% 0.20/0.29 ! [X0 : $int,X1 : collection,X2 : $int] : ((in(X0,X1) | X0 = X2) <=> in(X0,add(X2,X1)))),
% 0.20/0.29 file('/export/starexec/sandbox2/benchmark/Axioms/DAT002_0.ax',ax4)).
% 0.20/0.29 tff(f5,axiom,(
% 0.20/0.29 ! [X0 : $int,X1 : collection,X2 : $int] : ((in(X0,X1) & X0 != X2) <=> in(X0,remove(X2,X1)))),
% 0.20/0.29 file('/export/starexec/sandbox2/benchmark/Axioms/DAT002_0.ax',ax5)).
% 0.20/0.29 tff(f6,conjecture,(
% 0.20/0.29 ! [X0 : collection,X1 : collection,X2 : $int] : ((! [X3 : $int] : (in(X3,X1) => $greater(X3,0)) & in(X2,X1) & X0 = add($sum(X2,2),remove(X2,X1))) => ! [X4 : $int] : (in(X4,X0) => $greater(X4,0)))),
% 0.20/0.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1)).
% 0.20/0.29 tff(f7,negated_conjecture,(
% 0.20/0.29 ~ ! [X0 : collection,X1 : collection,X2 : $int] : ((! [X3 : $int] : (in(X3,X1) => $greater(X3,0)) & in(X2,X1) & X0 = add($sum(X2,2),remove(X2,X1))) => ! [X4 : $int] : (in(X4,X0) => $greater(X4,0)))),
% 0.20/0.29 inference(negated_conjecture,[status(cth)],[f6])).
% 0.20/0.29 tff(f8,plain,(
% 0.20/0.29 ~ ! [X0 : collection,X1 : collection,X2 : $int] : ((! [X3 : $int] : (in(X3,X1) => $less(0,X3)) & in(X2,X1) & X0 = add($sum(X2,2),remove(X2,X1))) => ! [X4 : $int] : (in(X4,X0) => $less(0,X4)))),
% 0.20/0.29 inference(theory_normalization,[],[f7])).
% 0.20/0.29 tff(f9,definition,(
% 0.20/0.29 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 0.20/0.29 introduced(theory,[tha_commutativity])).
% 0.20/0.29 tff(f10,definition,(
% 0.20/0.29 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 0.20/0.29 introduced(theory,[tha_associativity])).
% 0.20/0.29 tff(f11,definition,(
% 0.20/0.29 ( ! [X0 : $int] : ($sum(X0,0) = X0) )),
% 0.20/0.29 introduced(theory,[tha_right_identity])).
% 0.20/0.29 tff(f13,definition,(
% 0.20/0.29 ( ! [X0 : $int] : (0 = $sum(X0,$uminus(X0))) )),
% 0.20/0.29 introduced(theory,[tha_inverse_op_unit])).
% 0.20/0.29 tff(f14,definition,(
% 0.20/0.29 ( ! [X0 : $int] : (~$less(X0,X0)) )),
% 0.20/0.29 introduced(theory,[tha_non-reflexivity])).
% 0.20/0.29 tff(f15,definition,(
% 0.20/0.29 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(X1,X2) | ~$less(X0,X1) | $less(X0,X2)) )),
% 0.20/0.29 introduced(theory,[tha_transitivity])).
% 0.20/0.29 tff(f16,definition,(
% 0.20/0.29 ( ! [X0 : $int,X1 : $int] : ($less(X1,X0) | $less(X0,X1) | X0 = X1) )),
% 0.20/0.29 introduced(theory,[tha_order_totality])).
% 0.20/0.29 tff(f17,definition,(
% 0.20/0.29 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less($sum(X0,X2),$sum(X1,X2)) | ~$less(X0,X1)) )),
% 0.20/0.29 introduced(theory,[tha_order_monotonicity])).
% 0.20/0.29 tff(f19,definition,(
% 0.20/0.29 ( ! [X0 : $int] : ($uminus($uminus(X0)) = X0) )),
% 0.20/0.29 introduced(theory,[tha_minus_minus_x])).
% 0.20/0.29 tff(f21,plain,(
% 0.20/0.29 ? [X0 : collection,X1 : collection,X2 : $int] : (? [X4 : $int] : (~$less(0,X4) & in(X4,X0)) & (! [X3 : $int] : ($less(0,X3) | ~in(X3,X1)) & in(X2,X1) & X0 = add($sum(X2,2),remove(X2,X1))))),
% 0.20/0.29 inference(ennf_transformation,[],[f8])).
% 0.20/0.29 tff(f22,plain,(
% 0.20/0.29 ? [X0 : collection,X1 : collection,X2 : $int] : (? [X4 : $int] : (~$less(0,X4) & in(X4,X0)) & ! [X3 : $int] : ($less(0,X3) | ~in(X3,X1)) & in(X2,X1) & X0 = add($sum(X2,2),remove(X2,X1)))),
% 0.20/0.29 inference(flattening,[],[f21])).
% 0.20/0.29 tff(f23,plain,(
% 0.20/0.29 ! [X0 : $int,X1 : collection,X2 : $int] : (((in(X0,X1) | X0 = X2) | ~in(X0,add(X2,X1))) & (in(X0,add(X2,X1)) | (~in(X0,X1) & X0 != X2)))),
% 0.20/0.29 inference(nnf_transformation,[],[f4])).
% 0.20/0.29 tff(f24,plain,(
% 0.20/0.29 ! [X0 : $int,X1 : collection,X2 : $int] : ((in(X0,X1) | X0 = X2 | ~in(X0,add(X2,X1))) & (in(X0,add(X2,X1)) | (~in(X0,X1) & X0 != X2)))),
% 0.20/0.29 inference(flattening,[],[f23])).
% 0.20/0.29 tff(f25,plain,(
% 0.20/0.29 ! [X0 : $int,X1 : collection,X2 : $int] : (((in(X0,X1) & X0 != X2) | ~in(X0,remove(X2,X1))) & (in(X0,remove(X2,X1)) | (~in(X0,X1) | X0 = X2)))),
% 0.20/0.29 inference(nnf_transformation,[],[f5])).
% 0.20/0.29 tff(f26,plain,(
% 0.20/0.29 ! [X0 : $int,X1 : collection,X2 : $int] : (((in(X0,X1) & X0 != X2) | ~in(X0,remove(X2,X1))) & (in(X0,remove(X2,X1)) | ~in(X0,X1) | X0 = X2))),
% 0.20/0.29 inference(flattening,[],[f25])).
% 0.20/0.29 tff(f27,plain,(
% 0.20/0.29 ? [X0 : collection,X1 : collection,X2 : $int] : (? [X3 : $int] : (~$less(0,X3) & in(X3,X0)) & ! [X4 : $int] : ($less(0,X4) | ~in(X4,X1)) & in(X2,X1) & X0 = add($sum(X2,2),remove(X2,X1)))),
% 0.20/0.29 inference(rectify,[],[f22])).
% 0.20/0.29 tff(f28,plain,(
% 0.20/0.29 (~$less(0,sK3) & in(sK3,sK0)) & ! [X4 : $int] : ($less(0,X4) | ~in(X4,sK1)) & in(sK2,sK1) & sK0 = add($sum(sK2,2),remove(sK2,sK1))),
% 0.20/0.29 inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f27])).
% 0.20/0.29 tff(f34,plain,(
% 0.20/0.29 ( ! [X2 : $int,X0 : $int,X1 : collection] : (~in(X0,add(X2,X1)) | X0 = X2 | in(X0,X1)) )),
% 0.20/0.29 inference(cnf_transformation,[],[f24])).
% 0.20/0.29 tff(f37,plain,(
% 0.20/0.29 ( ! [X2 : $int,X0 : $int,X1 : collection] : (~in(X0,remove(X2,X1)) | in(X0,X1)) )),
% 0.20/0.29 inference(cnf_transformation,[],[f26])).
% 0.20/0.29 tff(f38,plain,(
% 0.20/0.29 sK0 = add($sum(sK2,2),remove(sK2,sK1))),
% 0.20/0.29 inference(cnf_transformation,[],[f28])).
% 0.20/0.29 tff(f39,plain,(
% 0.20/0.29 in(sK2,sK1)),
% 0.20/0.29 inference(cnf_transformation,[],[f28])).
% 0.20/0.29 tff(f40,plain,(
% 0.20/0.29 ( ! [X4 : $int] : (~in(X4,sK1) | $less(0,X4)) )),
% 0.20/0.29 inference(cnf_transformation,[],[f28])).
% 0.20/0.29 tff(f41,plain,(
% 0.20/0.29 in(sK3,sK0)),
% 0.20/0.29 inference(cnf_transformation,[],[f28])).
% 0.20/0.29 tff(f42,plain,(
% 0.20/0.29 ~$less(0,sK3)),
% 0.20/0.29 inference(cnf_transformation,[],[f28])).
% 0.20/0.29 tff(f45,plain,(
% 0.20/0.29 $less(0,sK2)),
% 0.20/0.29 inference(resolution,[],[f40,f39])).
% 0.20/0.29 tff(f76,plain,(
% 0.20/0.29 ( ! [X0 : $int] : (~$less(X0,0) | $less(X0,sK2)) )),
% 0.20/0.29 inference(resolution,[],[f15,f45])).
% 0.20/0.29 tff(f79,plain,(
% 0.20/0.29 ( ! [X0 : $int] : ($less(0,X0) | $less(X0,sK2) | 0 = X0) )),
% 0.20/0.29 inference(resolution,[],[f16,f76])).
% 0.20/0.29 tff(f103,plain,(
% 0.20/0.29 ( ! [X0 : $int,X1 : $int] : (~$less(X1,X0) | 0 = X0 | $less(0,X0) | $less(X1,sK2)) )),
% 0.20/0.29 inference(resolution,[],[f79,f15])).
% 0.20/0.29 tff(f109,plain,(
% 0.20/0.29 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less($sum(X0,X1),$sum(X2,X0)) | ~$less(X1,X2)) )),
% 0.20/0.29 inference(superposition,[],[f17,f9])).
% 0.20/0.29 tff(f130,plain,(
% 0.20/0.29 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum(X1,$sum(X2,X0))) )),
% 0.20/0.29 inference(superposition,[],[f10,f9])).
% 0.20/0.29 tff(f148,plain,(
% 0.20/0.29 ( ! [X0 : $int] : (~in(X0,sK0) | $sum(sK2,2) = X0 | in(X0,remove(sK2,sK1))) )),
% 0.20/0.29 inference(superposition,[],[f34,f38])).
% 0.20/0.29 tff(f150,plain,(
% 0.20/0.29 ( ! [X0 : $int] : (in(X0,remove(sK2,sK1)) | ~in(X0,sK0) | $sum(2,sK2) = X0) )),
% 0.20/0.29 inference(forward_demodulation,[],[f148,f9])).
% 0.20/0.29 tff(f166,plain,(
% 0.20/0.29 ( ! [X0 : $int] : (~in(X0,sK0) | $sum(2,sK2) = X0 | in(X0,sK1)) )),
% 0.20/0.29 inference(resolution,[],[f150,f37])).
% 0.20/0.29 tff(f185,plain,(
% 0.20/0.29 sK3 = $sum(2,sK2) | in(sK3,sK1)),
% 0.20/0.29 inference(resolution,[],[f166,f41])).
% 0.20/0.29 tff(f187,definition,(
% 0.20/0.29 spl4_3 <=> in(sK3,sK1)),
% 0.20/0.29 introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition])).
% 0.20/0.29 tff(f189,plain,(
% 0.20/0.29 in(sK3,sK1) | ~spl4_3),
% 0.20/0.29 inference(avatar_component_clause,[],[f187])).
% 0.20/0.29 tff(f191,definition,(
% 0.20/0.29 spl4_4 <=> sK3 = $sum(2,sK2)),
% 0.20/0.29 introduced(definition,[new_symbols(definition,[spl4_4])],[avatar_definition])).
% 0.20/0.29 tff(f193,plain,(
% 0.20/0.29 sK3 = $sum(2,sK2) | ~spl4_4),
% 0.20/0.29 inference(avatar_component_clause,[],[f191])).
% 0.20/0.29 tff(f194,plain,(
% 0.20/0.29 spl4_3 | spl4_4),
% 0.20/0.29 inference(avatar_split_clause,[],[f185,f191,f187])).
% 0.20/0.29 tff(f205,plain,(
% 0.20/0.29 $less(0,sK3) | ~spl4_3),
% 0.20/0.29 inference(resolution,[],[f189,f40])).
% 0.20/0.29 tff(f206,plain,(
% 0.20/0.29 $false | ~spl4_3),
% 0.20/0.29 inference(forward_subsumption_resolution,[],[f205,f42])).
% 0.20/0.29 tff(f207,plain,(
% 0.20/0.29 ~spl4_3),
% 0.20/0.29 inference(avatar_contradiction_clause,[],[f206])).
% 0.20/0.29 tff(f255,definition,(
% 0.20/0.29 spl4_5 <=> 0 = sK3),
% 0.20/0.29 introduced(definition,[new_symbols(definition,[spl4_5])],[avatar_definition])).
% 0.20/0.29 tff(f256,plain,(
% 0.20/0.29 0 != sK3 | spl4_5),
% 0.20/0.29 inference(avatar_component_clause,[],[f255])).
% 0.20/0.29 tff(f257,plain,(
% 0.20/0.29 0 = sK3 | ~spl4_5),
% 0.20/0.29 inference(avatar_component_clause,[],[f255])).
% 0.20/0.29 tff(f361,definition,(
% 0.20/0.29 spl4_7 <=> 2 = $uminus(sK2)),
% 0.20/0.29 introduced(definition,[new_symbols(definition,[spl4_7])],[avatar_definition])).
% 0.20/0.29 tff(f362,plain,(
% 0.20/0.29 2 != $uminus(sK2) | spl4_7),
% 0.20/0.29 inference(avatar_component_clause,[],[f361])).
% 0.20/0.29 tff(f363,plain,(
% 0.20/0.29 2 = $uminus(sK2) | ~spl4_7),
% 0.20/0.29 inference(avatar_component_clause,[],[f361])).
% 0.20/0.29 tff(f374,plain,(
% 0.20/0.29 sK2 = $uminus(2) | ~spl4_7),
% 0.20/0.29 inference(superposition,[],[f19,f363])).
% 0.20/0.29 tff(f381,plain,(
% 0.20/0.29 sK2 = -2 | ~spl4_7),
% 0.20/0.29 inference(evaluation,[],[f374])).
% 0.20/0.29 tff(f387,plain,(
% 0.20/0.29 $less(0,-2) | ~spl4_7),
% 0.20/0.29 inference(superposition,[],[f45,f381])).
% 0.20/0.29 tff(f405,plain,(
% 0.20/0.29 $false | ~spl4_7),
% 0.20/0.29 inference(evaluation,[],[f387])).
% 0.20/0.29 tff(f406,plain,(
% 0.20/0.29 ~spl4_7),
% 0.20/0.29 inference(avatar_contradiction_clause,[],[f405])).
% 0.20/0.29 tff(f444,plain,(
% 0.20/0.29 ( ! [X0 : $int] : ($less($sum(sK2,X0),sK3) | ~$less(X0,2)) ) | ~spl4_4),
% 0.20/0.29 inference(superposition,[],[f109,f193])).
% 0.20/0.29 tff(f648,plain,(
% 0.20/0.29 ( ! [X0 : $int] : ($sum(2,$sum(sK2,X0)) = $sum(X0,sK3)) ) | ~spl4_4),
% 0.20/0.29 inference(superposition,[],[f130,f193])).
% 0.20/0.29 tff(f754,plain,(
% 0.20/0.29 ( ! [X0 : $int] : ($sum(X0,0) = $sum(2,$sum(sK2,X0))) ) | (~spl4_4 | ~spl4_5)),
% 0.20/0.29 inference(forward_demodulation,[],[f648,f257])).
% 0.20/0.29 tff(f755,plain,(
% 0.20/0.29 ( ! [X0 : $int] : ($sum(2,$sum(sK2,X0)) = X0) ) | (~spl4_4 | ~spl4_5)),
% 0.20/0.29 inference(evaluation,[],[f754])).
% 0.20/0.29 tff(f781,plain,(
% 0.20/0.29 $uminus(sK2) = $sum(2,0) | (~spl4_4 | ~spl4_5)),
% 0.20/0.29 inference(superposition,[],[f755,f13])).
% 0.20/0.29 tff(f797,plain,(
% 0.20/0.29 2 = $uminus(sK2) | (~spl4_4 | ~spl4_5)),
% 0.20/0.29 inference(evaluation,[],[f781])).
% 0.20/0.29 tff(f810,plain,(
% 0.20/0.29 $false | (~spl4_4 | ~spl4_5 | spl4_7)),
% 0.20/0.29 inference(forward_subsumption_resolution,[],[f797,f362])).
% 0.20/0.29 tff(f811,plain,(
% 0.20/0.29 ~spl4_4 | ~spl4_5 | spl4_7),
% 0.20/0.29 inference(avatar_contradiction_clause,[],[f810])).
% 0.20/0.29 tff(f1124,plain,(
% 0.20/0.29 $less(sK2,sK3) | ~$less(0,2) | ~spl4_4),
% 0.20/0.29 inference(superposition,[],[f444,f11])).
% 0.20/0.29 tff(f1130,plain,(
% 0.20/0.29 $less(sK2,sK3) | ~spl4_4),
% 0.20/0.29 inference(evaluation,[],[f1124])).
% 0.20/0.29 tff(f1266,plain,(
% 0.20/0.29 0 = sK3 | $less(0,sK3) | $less(sK2,sK2) | ~spl4_4),
% 0.20/0.29 inference(resolution,[],[f1130,f103])).
% 0.20/0.29 tff(f1268,plain,(
% 0.20/0.29 $less(0,sK3) | $less(sK2,sK2) | (~spl4_4 | spl4_5)),
% 0.20/0.29 inference(forward_subsumption_resolution,[],[f1266,f256])).
% 0.20/0.29 tff(f1271,plain,(
% 0.20/0.29 $less(sK2,sK2) | (~spl4_4 | spl4_5)),
% 0.20/0.29 inference(forward_subsumption_resolution,[],[f1268,f42])).
% 0.20/0.29 tff(f1272,plain,(
% 0.20/0.29 $false | (~spl4_4 | spl4_5)),
% 0.20/0.29 inference(forward_subsumption_resolution,[],[f1271,f14])).
% 0.20/0.29 tff(f1273,plain,(
% 0.20/0.29 ~spl4_4 | spl4_5),
% 0.20/0.29 inference(avatar_contradiction_clause,[],[f1272])).
% 0.20/0.29 cnf(s2, plain, spl4_3 | spl4_4, inference(sat_conversion,[],[f194])).
% 0.20/0.29 cnf(s3, plain, ~spl4_3, inference(sat_conversion,[],[f207])).
% 0.20/0.29 cnf(s7, plain, ~spl4_7, inference(sat_conversion,[],[f406])).
% 0.20/0.29 cnf(s9, plain, ~spl4_4 | ~spl4_5 | spl4_7, inference(sat_conversion,[],[f811])).
% 0.20/0.29 cnf(s15, plain, ~spl4_4 | spl4_5, inference(sat_conversion,[],[f1273])).
% 0.20/0.29 cnf(s18, plain, spl4_4, inference(rat,[],[s2,s3])).
% 0.20/0.29 cnf(s19, plain, spl4_5, inference(rat,[],[s15,s18])).
% 0.20/0.29 cnf(s22, plain, $false, inference(rat,[],[s9,s7,s19,s18])).
% 0.20/0.29 tff(f1274,plain,(
% 0.20/0.29 $false),
% 0.20/0.29 inference(avatar_sat_refutation,[],[s22])).
% 0.20/0.29 % SZS output end Proof for theBenchmark
% 0.20/0.29 % (3910296)------------------------------
% 0.20/0.29 % (3910296)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.29 % (3910296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.29 % (3910296)CaDiCaL version: 2.1.3
% 0.20/0.29 % (3910296)Termination reason: Refutation
% 0.20/0.29 % (3910296)Time elapsed: 0.034 s
% 0.20/0.29 % (3910296)Peak memory usage: 13 MB
% 0.20/0.29 % (3910296)Instructions burned: 51 (million)
% 0.20/0.29 % (3910288)Success in time 0.075 s
% 0.20/0.29 % Vampire exiting
%------------------------------------------------------------------------------