%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI618_1 : TPTP v9.3.1. Released v5.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 09:34:58 AM UTC 2026
% Result : Theorem 1.09s 0.40s
% Output : Refutation 1.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI618_1 : TPTP v9.3.1. Released v5.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/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 : Mon Sep 28 20:55:55 UTC 2026
% 0.07/0.17 % CPUTime :
% 0.07/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.20 Running first-order model finding
% 0.07/0.20 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
% 1.09/0.40 % (3770234)Will run a generic schedule for satisfiability detection.
% 1.09/0.40 % (3770241)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2674367599:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.09/0.40 % (3770240)% WARNING: option uhcvi not known.
% 1.09/0.40 % (3770239)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3022613586_2999 on theBenchmark for (2999ds/0Mi)
% 1.09/0.40 % (3770240)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2414190415:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.09/0.40 % (3770242)dis+10_1_sil=32000:sp=arity:random_seed=2725121994:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.09/0.40 % (3770243)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3907416921:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.09/0.40 % (3770239)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.09/0.40 % (3770239)Terminated due to inappropriate strategy.
% 1.09/0.40 % (3770239)------------------------------
% 1.09/0.40 % (3770239)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.40 % (3770239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.40 % (3770239)CaDiCaL version: 2.1.3
% 1.09/0.40 % (3770239)Termination reason: Inappropriate
% 1.09/0.40 % (3770239)Time elapsed: 0.0000 s
% 1.09/0.40 % (3770239)Peak memory usage: 10 MB
% 1.09/0.40 % (3770245)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1657911198:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.09/0.40 % (3770239)------------------------------
% 1.09/0.40 % (3770239)------------------------------
% 1.09/0.40 % (3770244)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3728570009:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.09/0.40 % (3770253)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1780970923:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.09/0.40 % (3770253)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.09/0.40 % (3770253)Terminated due to inappropriate strategy.
% 1.09/0.40 % (3770253)------------------------------
% 1.09/0.40 % (3770253)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.40 % (3770253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.40 % (3770253)CaDiCaL version: 2.1.3
% 1.09/0.40 % (3770253)Termination reason: Inappropriate
% 1.09/0.40 % (3770253)Time elapsed: 0.0000 s
% 1.09/0.40 % (3770253)Peak memory usage: 10 MB
% 1.09/0.40 % (3770253)------------------------------
% 1.09/0.40 % (3770253)------------------------------
% 1.09/0.40 % (3770255)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3772777576:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.09/0.40 % (3770242)Instruction limit reached!
% 1.09/0.40 % (3770242)------------------------------
% 1.09/0.40 % (3770242)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.40 % (3770242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.40 % (3770242)CaDiCaL version: 2.1.3
% 1.09/0.40 % (3770242)Termination reason: Instruction limit
% 1.09/0.40 % (3770242)Termination phase: Saturation
% 1.09/0.40 % (3770242)Time elapsed: 0.066 s
% 1.09/0.40 % (3770242)Peak memory usage: 12 MB
% 1.09/0.40 % (3770242)Instructions burned: 103 (million)
% 1.09/0.40 % (3770243)Instruction limit reached!
% 1.09/0.40 % (3770243)------------------------------
% 1.09/0.40 % (3770243)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.40 % (3770243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.40 % (3770243)CaDiCaL version: 2.1.3
% 1.09/0.40 % (3770243)Termination reason: Instruction limit
% 1.09/0.40 % (3770243)Termination phase: Saturation
% 1.09/0.40 % (3770243)Time elapsed: 0.071 s
% 1.09/0.40 % (3770243)Peak memory usage: 12 MB
% 1.09/0.40 % (3770243)Instructions burned: 116 (million)
% 1.09/0.40 % (3770257)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=2929203758:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.09/0.40 % (3770244)Instruction limit reached!
% 1.09/0.40 % (3770244)------------------------------
% 1.09/0.40 % (3770244)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.40 % (3770244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.40 % (3770244)CaDiCaL version: 2.1.3
% 1.09/0.40 % (3770244)Termination reason: Instruction limit
% 1.09/0.40 % (3770244)Termination phase: Saturation
% 1.09/0.40 % (3770244)Time elapsed: 0.086 s
% 1.09/0.40 % (3770244)Peak memory usage: 13 MB
% 1.09/0.40 % (3770244)Instructions burned: 131 (million)
% 1.09/0.40 % (3770258)ott-21_1_sil=16000:fs=off:random_seed=1781250603:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.09/0.40 % (3770260)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2252773105:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 1.09/0.40 % (3770245)Instruction limit reached!
% 1.09/0.40 % (3770245)------------------------------
% 1.09/0.40 % (3770245)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.40 % (3770245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.40 % (3770245)CaDiCaL version: 2.1.3
% 1.09/0.40 % (3770245)Termination reason: Instruction limit
% 1.09/0.40 % (3770245)Termination phase: Saturation
% 1.09/0.40 % (3770245)Time elapsed: 0.112 s
% 1.09/0.40 % (3770245)Peak memory usage: 13 MB
% 1.09/0.40 % (3770245)Instructions burned: 159 (million)
% 1.09/0.40 % (3770263)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=893668384:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 1.09/0.40 % (3770255)Instruction limit reached!
% 1.09/0.40 % (3770255)------------------------------
% 1.09/0.40 % (3770255)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.40 % (3770255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.40 % (3770255)CaDiCaL version: 2.1.3
% 1.09/0.40 % (3770255)Termination reason: Instruction limit
% 1.09/0.40 % (3770255)Termination phase: Saturation
% 1.09/0.40 % (3770255)Time elapsed: 0.091 s
% 1.09/0.40 % (3770255)Peak memory usage: 13 MB
% 1.09/0.40 % (3770255)Instructions burned: 131 (million)
% 1.09/0.40 % (3770263)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.09/0.40 % (3770263)Terminated due to inappropriate strategy.
% 1.09/0.40 % (3770263)------------------------------
% 1.09/0.40 % (3770263)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.40 % (3770263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.40 % (3770263)CaDiCaL version: 2.1.3
% 1.09/0.40 % (3770263)Termination reason: Inappropriate
% 1.09/0.40 % (3770263)Time elapsed: 0.0000 s
% 1.09/0.40 % (3770263)Peak memory usage: 10 MB
% 1.09/0.40 % (3770263)------------------------------
% 1.09/0.40 % (3770263)------------------------------
% 1.09/0.40 % (3770265)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2230124997:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 1.09/0.40 % (3770266)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3015503857:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 1.09/0.40 % (3770266)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.09/0.40 % (3770266)Terminated due to inappropriate strategy.
% 1.09/0.40 % (3770266)------------------------------
% 1.09/0.40 % (3770266)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.40 % (3770266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.40 % (3770266)CaDiCaL version: 2.1.3
% 1.09/0.40 % (3770266)Termination reason: Inappropriate
% 1.09/0.40 % (3770266)Time elapsed: 0.0000 s
% 1.09/0.40 % (3770266)Peak memory usage: 10 MB
% 1.09/0.40 % (3770266)------------------------------
% 1.09/0.40 % (3770266)------------------------------
% 1.09/0.40 % (3770265) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3770234-3770265"...
% 1.09/0.40 % (3770265)...printing done.
% 1.09/0.40 % (3770265)Refutation found. Thanks to Tanya!
% 1.09/0.40 % SZS status Theorem for theBenchmark
% 1.09/0.40 % SZS output start Proof for theBenchmark
% 1.09/0.40 tff(func_def_0, type, f: $int > $int).
% 1.09/0.40 tff(func_def_5, type, sK0: $int).
% 1.09/0.40 tff(func_def_6, type, sF1: $int).
% 1.09/0.40 tff(func_def_7, type, sF2: $int).
% 1.09/0.40 tff(f1,conjecture,(
% 1.09/0.40 ! [X0 : $int] : ($lesseq(X0,f(X0)) & $lesseq($uminus(X0),f(X0)) & ($lesseq(f(X0),X0) | $lesseq(f(X0),$uminus(X0)))) => ! [X0 : $int] : f(f(X0)) = f(X0)),
% 1.09/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p',absolute_value_idempotent)).
% 1.09/0.40 tff(f2,negated_conjecture,(
% 1.09/0.40 ~(! [X0 : $int] : ($lesseq(X0,f(X0)) & $lesseq($uminus(X0),f(X0)) & ($lesseq(f(X0),X0) | $lesseq(f(X0),$uminus(X0)))) => ! [X0 : $int] : f(f(X0)) = f(X0))),
% 1.09/0.40 inference(negated_conjecture,[status(cth)],[f1])).
% 1.09/0.40 tff(f3,plain,(
% 1.09/0.40 ~(! [X0 : $int] : (~$less(f(X0),X0) & ~$less(f(X0),$uminus(X0)) & (~$less(X0,f(X0)) | ~$less($uminus(X0),f(X0)))) => ! [X0 : $int] : f(f(X0)) = f(X0))),
% 1.09/0.40 inference(theory_normalization,[],[f2])).
% 1.09/0.40 tff(f11,definition,(
% 1.09/0.40 ( ! [X0 : $int,X1 : $int] : ($less(X1,X0) | $less(X0,X1) | X0 = X1) )),
% 1.09/0.40 introduced(theory,[tha_order_totality])).
% 1.09/0.40 tff(f14,definition,(
% 1.09/0.40 ( ! [X0 : $int] : ($uminus($uminus(X0)) = X0) )),
% 1.09/0.40 introduced(theory,[tha_minus_minus_x])).
% 1.09/0.40 tff(f16,plain,(
% 1.09/0.40 ~(! [X0 : $int] : (~$less(f(X0),X0) & ~$less(f(X0),$uminus(X0)) & (~$less(X0,f(X0)) | ~$less($uminus(X0),f(X0)))) => ! [X1 : $int] : f(X1) = f(f(X1)))),
% 1.09/0.40 inference(rectify,[],[f3])).
% 1.09/0.40 tff(f17,plain,(
% 1.09/0.40 ? [X1 : $int] : f(X1) != f(f(X1)) & ! [X0 : $int] : (~$less(f(X0),X0) & ~$less(f(X0),$uminus(X0)) & (~$less(X0,f(X0)) | ~$less($uminus(X0),f(X0))))),
% 1.09/0.40 inference(ennf_transformation,[],[f16])).
% 1.09/0.40 tff(f18,plain,(
% 1.09/0.40 ? [X0 : $int] : f(X0) != f(f(X0)) & ! [X1 : $int] : (~$less(f(X1),X1) & ~$less(f(X1),$uminus(X1)) & (~$less(X1,f(X1)) | ~$less($uminus(X1),f(X1))))),
% 1.09/0.40 inference(rectify,[],[f17])).
% 1.09/0.40 tff(f19,plain,(
% 1.09/0.40 f(sK0) != f(f(sK0)) & ! [X1 : $int] : (~$less(f(X1),X1) & ~$less(f(X1),$uminus(X1)) & (~$less(X1,f(X1)) | ~$less($uminus(X1),f(X1))))),
% 1.09/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f18])).
% 1.09/0.40 tff(f20,plain,(
% 1.09/0.40 ( ! [X1 : $int] : (~$less($uminus(X1),f(X1)) | ~$less(X1,f(X1))) )),
% 1.09/0.40 inference(cnf_transformation,[],[f19])).
% 1.09/0.40 tff(f21,plain,(
% 1.09/0.40 ( ! [X1 : $int] : (~$less(f(X1),$uminus(X1))) )),
% 1.09/0.40 inference(cnf_transformation,[],[f19])).
% 1.09/0.40 tff(f22,plain,(
% 1.09/0.40 ( ! [X1 : $int] : (~$less(f(X1),X1)) )),
% 1.09/0.40 inference(cnf_transformation,[],[f19])).
% 1.09/0.40 tff(f23,plain,(
% 1.09/0.40 f(sK0) != f(f(sK0))),
% 1.09/0.40 inference(cnf_transformation,[],[f19])).
% 1.09/0.40 tff(f24,definition,(
% 1.09/0.40 sF1 = f(sK0)),
% 1.09/0.40 introduced(definition,[new_symbols(definition,[sF1])],[function_definition])).
% 1.09/0.40 tff(f25,plain,(
% 1.09/0.40 f(sK0) = sF1),
% 1.09/0.40 inference(reorient_equations,[],[f24])).
% 1.09/0.40 tff(f26,definition,(
% 1.09/0.40 sF2 = f(sF1)),
% 1.09/0.40 introduced(definition,[new_symbols(definition,[sF2])],[function_definition])).
% 1.09/0.40 tff(f27,plain,(
% 1.09/0.40 f(sF1) = sF2),
% 1.09/0.40 inference(reorient_equations,[],[f26])).
% 1.09/0.40 tff(f28,plain,(
% 1.09/0.40 sF1 != sF2),
% 1.09/0.40 inference(definition_folding,[],[f23,f27,f25,f25])).
% 1.09/0.40 tff(f29,plain,(
% 1.09/0.40 ~$less($uminus(sK0),sF1) | ~$less(sK0,sF1)),
% 1.09/0.40 inference(superposition,[],[f20,f25])).
% 1.09/0.40 tff(f30,plain,(
% 1.09/0.40 ~$less(sF1,$uminus(sK0))),
% 1.09/0.40 inference(superposition,[],[f21,f25])).
% 1.09/0.40 tff(f31,plain,(
% 1.09/0.40 ~$less(sF1,sK0)),
% 1.09/0.40 inference(superposition,[],[f22,f25])).
% 1.09/0.40 tff(f33,definition,(
% 1.09/0.40 spl3_1 <=> $less(sK0,sF1)),
% 1.09/0.40 introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition])).
% 1.09/0.40 tff(f34,plain,(
% 1.09/0.40 $less(sK0,sF1) | ~spl3_1),
% 1.09/0.40 inference(avatar_component_clause,[],[f33])).
% 1.09/0.40 tff(f35,plain,(
% 1.09/0.40 ~$less(sK0,sF1) | spl3_1),
% 1.09/0.40 inference(avatar_component_clause,[],[f33])).
% 1.09/0.40 tff(f37,definition,(
% 1.09/0.40 spl3_2 <=> $less($uminus(sK0),sF1)),
% 1.09/0.40 introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition])).
% 1.09/0.40 tff(f39,plain,(
% 1.09/0.40 ~$less($uminus(sK0),sF1) | spl3_2),
% 1.09/0.41 inference(avatar_component_clause,[],[f37])).
% 1.09/0.41 tff(f40,plain,(
% 1.09/0.41 ~spl3_1 | ~spl3_2),
% 1.09/0.41 inference(avatar_split_clause,[],[f29,f37,f33])).
% 1.09/0.41 tff(f41,plain,(
% 1.09/0.41 ~$less($uminus(sF1),sF2) | ~$less(sF1,sF2)),
% 1.09/0.41 inference(superposition,[],[f20,f27])).
% 1.09/0.41 tff(f42,plain,(
% 1.09/0.41 ~$less(sF2,$uminus(sF1))),
% 1.09/0.41 inference(superposition,[],[f21,f27])).
% 1.09/0.41 tff(f43,plain,(
% 1.09/0.41 ~$less(sF2,sF1)),
% 1.09/0.41 inference(superposition,[],[f22,f27])).
% 1.09/0.41 tff(f45,definition,(
% 1.09/0.41 spl3_3 <=> $less(sF1,sF2)),
% 1.09/0.41 introduced(definition,[new_symbols(definition,[spl3_3])],[avatar_definition])).
% 1.09/0.41 tff(f47,plain,(
% 1.09/0.41 ~$less(sF1,sF2) | spl3_3),
% 1.09/0.41 inference(avatar_component_clause,[],[f45])).
% 1.09/0.41 tff(f49,definition,(
% 1.09/0.41 spl3_4 <=> $less($uminus(sF1),sF2)),
% 1.09/0.41 introduced(definition,[new_symbols(definition,[spl3_4])],[avatar_definition])).
% 1.09/0.41 tff(f51,plain,(
% 1.09/0.41 ~$less($uminus(sF1),sF2) | spl3_4),
% 1.09/0.41 inference(avatar_component_clause,[],[f49])).
% 1.09/0.41 tff(f52,plain,(
% 1.09/0.41 ~spl3_3 | ~spl3_4),
% 1.09/0.41 inference(avatar_split_clause,[],[f41,f49,f45])).
% 1.09/0.41 tff(f93,plain,(
% 1.09/0.41 $less(sF1,sF2) | sF1 = sF2),
% 1.09/0.41 inference(resolution,[],[f11,f43])).
% 1.09/0.41 tff(f99,plain,(
% 1.09/0.41 $less(sK0,sF1) | sK0 = sF1),
% 1.09/0.41 inference(resolution,[],[f11,f31])).
% 1.09/0.41 tff(f103,plain,(
% 1.09/0.41 sK0 = sF1 | spl3_1),
% 1.09/0.41 inference(forward_subsumption_resolution,[],[f99,f35])).
% 1.09/0.41 tff(f105,plain,(
% 1.09/0.41 sF1 = sF2 | spl3_3),
% 1.09/0.41 inference(forward_subsumption_resolution,[],[f93,f47])).
% 1.09/0.41 tff(f110,plain,(
% 1.09/0.41 $false | spl3_3),
% 1.09/0.41 inference(forward_subsumption_resolution,[],[f105,f28])).
% 1.09/0.41 tff(f111,plain,(
% 1.09/0.41 spl3_3),
% 1.09/0.41 inference(avatar_contradiction_clause,[],[f110])).
% 1.09/0.41 tff(f131,plain,(
% 1.09/0.41 f(sK0) = sF2 | spl3_1),
% 1.09/0.41 inference(superposition,[],[f27,f103])).
% 1.09/0.41 tff(f139,plain,(
% 1.09/0.41 sF1 = sF2 | spl3_1),
% 1.09/0.41 inference(forward_demodulation,[],[f131,f25])).
% 1.09/0.41 tff(f140,plain,(
% 1.09/0.41 $false | spl3_1),
% 1.09/0.41 inference(forward_subsumption_resolution,[],[f139,f28])).
% 1.09/0.41 tff(f141,plain,(
% 1.09/0.41 spl3_1),
% 1.09/0.41 inference(avatar_contradiction_clause,[],[f140])).
% 1.09/0.41 tff(f184,plain,(
% 1.09/0.41 $less(sF1,$uminus(sK0)) | sF1 = $uminus(sK0) | spl3_2),
% 1.09/0.41 inference(resolution,[],[f39,f11])).
% 1.09/0.41 tff(f187,plain,(
% 1.09/0.41 sF1 = $uminus(sK0) | spl3_2),
% 1.09/0.41 inference(forward_subsumption_resolution,[],[f184,f30])).
% 1.09/0.41 tff(f190,plain,(
% 1.09/0.41 $less(sF2,$uminus(sF1)) | sF2 = $uminus(sF1) | spl3_4),
% 1.09/0.41 inference(resolution,[],[f51,f11])).
% 1.09/0.41 tff(f193,plain,(
% 1.09/0.41 sF2 = $uminus(sF1) | spl3_4),
% 1.09/0.41 inference(forward_subsumption_resolution,[],[f190,f42])).
% 1.09/0.41 tff(f203,plain,(
% 1.09/0.41 sK0 = $uminus(sF1) | spl3_2),
% 1.09/0.41 inference(superposition,[],[f14,f187])).
% 1.09/0.41 tff(f217,definition,(
% 1.09/0.41 spl3_5 <=> sK0 = sF2),
% 1.09/0.41 introduced(definition,[new_symbols(definition,[spl3_5])],[avatar_definition])).
% 1.09/0.41 tff(f219,plain,(
% 1.09/0.41 sK0 = sF2 | ~spl3_5),
% 1.09/0.41 inference(avatar_component_clause,[],[f217])).
% 1.09/0.41 tff(f273,plain,(
% 1.09/0.41 sK0 = sF2 | (spl3_2 | spl3_4)),
% 1.09/0.41 inference(superposition,[],[f193,f203])).
% 1.09/0.41 tff(f290,plain,(
% 1.09/0.41 spl3_5 | spl3_2 | spl3_4),
% 1.09/0.41 inference(avatar_split_clause,[],[f273,f49,f37,f217])).
% 1.09/0.41 tff(f318,plain,(
% 1.09/0.41 ~$less(sK0,sF1) | ~spl3_5),
% 1.09/0.41 inference(superposition,[],[f43,f219])).
% 1.09/0.41 tff(f326,plain,(
% 1.09/0.41 $false | (~spl3_1 | ~spl3_5)),
% 1.09/0.41 inference(forward_subsumption_resolution,[],[f318,f34])).
% 1.09/0.41 tff(f327,plain,(
% 1.09/0.41 ~spl3_1 | ~spl3_5),
% 1.09/0.41 inference(avatar_contradiction_clause,[],[f326])).
% 1.09/0.41 cnf(s1, plain, ~spl3_1 | ~spl3_2, inference(sat_conversion,[],[f40])).
% 1.09/0.41 cnf(s2, plain, ~spl3_3 | ~spl3_4, inference(sat_conversion,[],[f52])).
% 1.09/0.41 cnf(s4, plain, spl3_3, inference(sat_conversion,[],[f111])).
% 1.09/0.41 cnf(s5, plain, spl3_1, inference(sat_conversion,[],[f141])).
% 1.09/0.41 cnf(s9, plain, spl3_2 | spl3_4 | spl3_5, inference(sat_conversion,[],[f290])).
% 1.09/0.41 cnf(s13, plain, ~spl3_1 | ~spl3_5, inference(sat_conversion,[],[f327])).
% 1.09/0.41 cnf(s14, plain, ~spl3_5, inference(rat,[],[s13,s5])).
% 1.09/0.41 cnf(s15, plain, ~spl3_4, inference(rat,[],[s2,s4])).
% 1.09/0.41 cnf(s16, plain, spl3_2, inference(rat,[],[s9,s14,s15])).
% 1.09/0.41 cnf(s17, plain, $false, inference(rat,[],[s1,s16,s5])).
% 1.09/0.41 tff(f330,plain,(
% 1.09/0.41 $false),
% 1.09/0.41 inference(avatar_sat_refutation,[],[s17])).
% 1.09/0.41 % SZS output end Proof for theBenchmark
% 1.09/0.41 % (3770265)------------------------------
% 1.09/0.41 % (3770265)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.09/0.41 % (3770265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.09/0.41 % (3770265)CaDiCaL version: 2.1.3
% 1.09/0.41 % (3770265)Termination reason: Refutation
% 1.09/0.41 % (3770265)Time elapsed: 0.009 s
% 1.09/0.41 % (3770265)Peak memory usage: 12 MB
% 1.09/0.41 % (3770265)Instructions burned: 11 (million)
% 1.09/0.41 % (3770234)Success in time 0.198 s
% 1.09/0.41 % Vampire exiting
%------------------------------------------------------------------------------