%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : DAT012_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 : n012.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 09:47:57 AM UTC 2026
% Result : Theorem 0.74s 0.25s
% Output : Refutation 0.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : DAT012_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.00/0.10 % Computer : n012.cluster.edu
% 0.00/0.10 % Model : x86_64 x86_64
% 0.00/0.10 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10 % Memory : 8046.5625MB
% 0.00/0.10 % OS : Linux 6.8.0-71-generic
% 0.00/0.10 % CPULimit : 300
% 0.00/0.10 % WCLimit : 300
% 0.00/0.10 % DateTime : Tue Sep 29 00:05:04 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.12 Running first-order model finding
% 0.08/0.12 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
% 0.74/0.25 % (3913645)Will run a generic schedule for satisfiability detection.
% 0.74/0.25 % (3913651)% WARNING: option uhcvi not known.
% 0.74/0.25 % (3913654)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1556647671:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.74/0.25 % (3913650)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2931570761_2999 on theBenchmark for (2999ds/0Mi)
% 0.74/0.25 % (3913653)dis+10_1_sil=32000:sp=arity:random_seed=2491593663:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.74/0.25 % (3913652)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=922473965:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.74/0.25 % (3913651)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=269029483:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.74/0.25 % (3913655)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1624760784:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.74/0.25 % (3913656)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1162677293:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.74/0.25 % (3913650)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.74/0.25 % (3913650)Terminated due to inappropriate strategy.
% 0.74/0.25 % (3913650)------------------------------
% 0.74/0.25 % (3913650)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.25 % (3913650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.25 % (3913650)CaDiCaL version: 2.1.3
% 0.74/0.25 % (3913650)Termination reason: Inappropriate
% 0.74/0.25 % (3913650)Time elapsed: 0.0000 s
% 0.74/0.25 % (3913650)Peak memory usage: 10 MB
% 0.74/0.25 % (3913650)------------------------------
% 0.74/0.25 % (3913650)------------------------------
% 0.74/0.25 % (3913664)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=88802428:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.74/0.25 % (3913664)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.74/0.25 % (3913664)Terminated due to inappropriate strategy.
% 0.74/0.25 % (3913664)------------------------------
% 0.74/0.25 % (3913664)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.25 % (3913664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.25 % (3913664)CaDiCaL version: 2.1.3
% 0.74/0.25 % (3913664)Termination reason: Inappropriate
% 0.74/0.25 % (3913664)Time elapsed: 0.0000 s
% 0.74/0.25 % (3913664)Peak memory usage: 10 MB
% 0.74/0.25 % (3913664)------------------------------
% 0.74/0.25 % (3913664)------------------------------
% 0.74/0.25 % (3913666)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3374273559:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.74/0.25 % (3913653)Instruction limit reached!
% 0.74/0.25 % (3913653)------------------------------
% 0.74/0.25 % (3913653)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.25 % (3913653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.25 % (3913653)CaDiCaL version: 2.1.3
% 0.74/0.25 % (3913653)Termination reason: Instruction limit
% 0.74/0.25 % (3913653)Termination phase: Saturation
% 0.74/0.25 % (3913653)Time elapsed: 0.035 s
% 0.74/0.25 % (3913653)Peak memory usage: 12 MB
% 0.74/0.25 % (3913653)Instructions burned: 105 (million)
% 0.74/0.25 % (3913654)Instruction limit reached!
% 0.74/0.25 % (3913654)------------------------------
% 0.74/0.25 % (3913654)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.25 % (3913654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.25 % (3913654)CaDiCaL version: 2.1.3
% 0.74/0.25 % (3913654)Termination reason: Instruction limit
% 0.74/0.25 % (3913654)Termination phase: Saturation
% 0.74/0.25 % (3913654)Time elapsed: 0.039 s
% 0.74/0.25 % (3913654)Peak memory usage: 12 MB
% 0.74/0.25 % (3913654)Instructions burned: 118 (million)
% 0.74/0.25 % (3913655)Instruction limit reached!
% 0.74/0.25 % (3913655)------------------------------
% 0.74/0.25 % (3913655)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.25 % (3913655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.25 % (3913655)CaDiCaL version: 2.1.3
% 0.74/0.25 % (3913655)Termination reason: Instruction limit
% 0.74/0.25 % (3913655)Termination phase: Saturation
% 0.74/0.25 % (3913655)Time elapsed: 0.045 s
% 0.74/0.25 % (3913655)Peak memory usage: 12 MB
% 0.74/0.25 % (3913655)Instructions burned: 131 (million)
% 0.74/0.25 % (3913668)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=1808322095:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 0.74/0.25 % (3913669)ott-21_1_sil=16000:fs=off:random_seed=3580850016:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 0.74/0.25 % (3913670)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2724539257:i=477:bd=all_2999 on theBenchmark for (2999ds/477Mi)
% 0.74/0.25 % (3913656)Instruction limit reached!
% 0.74/0.25 % (3913656)------------------------------
% 0.74/0.25 % (3913656)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.25 % (3913656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.25 % (3913656)CaDiCaL version: 2.1.3
% 0.74/0.25 % (3913656)Termination reason: Instruction limit
% 0.74/0.25 % (3913656)Termination phase: Saturation
% 0.74/0.25 % (3913656)Time elapsed: 0.058 s
% 0.74/0.25 % (3913656)Peak memory usage: 13 MB
% 0.74/0.25 % (3913656)Instructions burned: 159 (million)
% 0.74/0.25 % (3913674)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2919379140:fmbsr=1.3:i=865:ins=25_2999 on theBenchmark for (2999ds/865Mi)
% 0.74/0.25 % (3913666)Instruction limit reached!
% 0.74/0.25 % (3913666)------------------------------
% 0.74/0.25 % (3913666)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.25 % (3913666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.25 % (3913666)CaDiCaL version: 2.1.3
% 0.74/0.25 % (3913666)Termination reason: Instruction limit
% 0.74/0.25 % (3913666)Termination phase: Saturation
% 0.74/0.25 % (3913666)Time elapsed: 0.048 s
% 0.74/0.25 % (3913666)Peak memory usage: 12 MB
% 0.74/0.25 % (3913666)Instructions burned: 131 (million)
% 0.74/0.25 % (3913674)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.74/0.25 % (3913674)Terminated due to inappropriate strategy.
% 0.74/0.25 % (3913674)------------------------------
% 0.74/0.25 % (3913674)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.25 % (3913674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.25 % (3913674)CaDiCaL version: 2.1.3
% 0.74/0.25 % (3913674)Termination reason: Inappropriate
% 0.74/0.25 % (3913674)Time elapsed: 0.0000 s
% 0.74/0.25 % (3913674)Peak memory usage: 10 MB
% 0.74/0.25 % (3913674)------------------------------
% 0.74/0.25 % (3913674)------------------------------
% 0.74/0.25 % (3913676)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1544446924:i=1179_2999 on theBenchmark for (2999ds/1179Mi)
% 0.74/0.25 % (3913677)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=835131321:i=889:ins=1_2999 on theBenchmark for (2999ds/889Mi)
% 0.74/0.25 % (3913677)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.74/0.25 % (3913677)Terminated due to inappropriate strategy.
% 0.74/0.25 % (3913677)------------------------------
% 0.74/0.25 % (3913677)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.25 % (3913677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.25 % (3913677)CaDiCaL version: 2.1.3
% 0.74/0.25 % (3913677)Termination reason: Inappropriate
% 0.74/0.25 % (3913677)Time elapsed: 0.0000 s
% 0.74/0.25 % (3913677)Peak memory usage: 10 MB
% 0.74/0.25 % (3913677)------------------------------
% 0.74/0.25 % (3913677)------------------------------
% 0.74/0.25 % (3913669)Instruction limit reached!
% 0.74/0.25 % (3913669)------------------------------
% 0.74/0.25 % (3913669)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.25 % (3913669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.25 % (3913669)CaDiCaL version: 2.1.3
% 0.74/0.25 % (3913669)Termination reason: Instruction limit
% 0.74/0.25 % (3913669)Termination phase: Saturation
% 0.74/0.25 % (3913669)Time elapsed: 0.043 s
% 0.74/0.25 % (3913669)Peak memory usage: 12 MB
% 0.74/0.25 % (3913669)Instructions burned: 183 (million)
% 0.74/0.25 % (3913680)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=999466474:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2998 on theBenchmark for (2998ds/692Mi)
% 0.74/0.25 % (3913668) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3913645-3913668"...
% 0.74/0.25 % (3913668)...printing done.
% 0.74/0.25 % (3913668)Refutation found. Thanks to Tanya!
% 0.74/0.25 % SZS status Theorem for theBenchmark
% 0.74/0.25 % SZS output start Proof for theBenchmark
% 0.74/0.25 tff(type_def_5, type, array: $tType).
% 0.74/0.25 tff(func_def_0, type, read: (array * $int) > $int).
% 0.74/0.25 tff(func_def_1, type, write: (array * $int * $int) > array).
% 0.74/0.25 tff(func_def_7, type, sK0: array).
% 0.74/0.25 tff(func_def_8, type, sK1: array).
% 0.74/0.25 tff(func_def_9, type, sK2: $int).
% 0.74/0.25 tff(func_def_10, type, sK3: $int).
% 0.74/0.25 tff(func_def_11, type, sK4: $int).
% 0.74/0.25 tff(f1,axiom,(
% 0.74/0.25 ! [X0 : array,X1 : $int,X2 : $int] : read(write(X0,X1,X2),X1) = X2),
% 0.74/0.25 file('/export/starexec/sandbox2/benchmark/Axioms/DAT001_0.ax',ax1)).
% 0.74/0.25 tff(f2,axiom,(
% 0.74/0.25 ! [X0 : array,X1 : $int,X2 : $int,X3 : $int] : (X1 = X2 | read(write(X0,X1,X3),X2) = read(X0,X2))),
% 0.74/0.25 file('/export/starexec/sandbox2/benchmark/Axioms/DAT001_0.ax',ax2)).
% 0.74/0.25 tff(f3,conjecture,(
% 0.74/0.25 ! [X0 : array,X1 : array,X2 : $int,X3 : $int] : ((! [X4 : $int] : (($lesseq(X2,X4) & $lesseq(X4,X3)) => $greater(read(X0,X4),0)) & X1 = write(X0,$sum(X2,2),$sum(read(X0,$sum(X2,1)),1))) => ! [X5 : $int] : (($lesseq(X2,X5) & $lesseq(X5,X3)) => $greater(read(X1,X5),0)))),
% 0.74/0.25 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1)).
% 0.74/0.25 tff(f4,negated_conjecture,(
% 0.74/0.25 ~ ! [X0 : array,X1 : array,X2 : $int,X3 : $int] : ((! [X4 : $int] : (($lesseq(X2,X4) & $lesseq(X4,X3)) => $greater(read(X0,X4),0)) & X1 = write(X0,$sum(X2,2),$sum(read(X0,$sum(X2,1)),1))) => ! [X5 : $int] : (($lesseq(X2,X5) & $lesseq(X5,X3)) => $greater(read(X1,X5),0)))),
% 0.74/0.25 inference(negated_conjecture,[status(cth)],[f3])).
% 0.74/0.25 tff(f5,plain,(
% 0.74/0.25 ~ ! [X0 : array,X1 : array,X2 : $int,X3 : $int] : ((! [X4 : $int] : ((~$less(X4,X2) & ~$less(X3,X4)) => $less(0,read(X0,X4))) & X1 = write(X0,$sum(X2,2),$sum(read(X0,$sum(X2,1)),1))) => ! [X5 : $int] : ((~$less(X5,X2) & ~$less(X3,X5)) => $less(0,read(X1,X5))))),
% 0.74/0.25 inference(theory_normalization,[],[f4])).
% 0.74/0.25 tff(f6,definition,(
% 0.74/0.25 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 0.74/0.25 introduced(theory,[tha_commutativity])).
% 0.74/0.25 tff(f8,definition,(
% 0.74/0.25 ( ! [X0 : $int] : ($sum(X0,0) = X0) )),
% 0.74/0.25 introduced(theory,[tha_right_identity])).
% 0.74/0.25 tff(f10,definition,(
% 0.74/0.25 ( ! [X0 : $int] : (0 = $sum(X0,$uminus(X0))) )),
% 0.74/0.25 introduced(theory,[tha_inverse_op_unit])).
% 0.74/0.25 tff(f11,definition,(
% 0.74/0.25 ( ! [X0 : $int] : (~$less(X0,X0)) )),
% 0.74/0.25 introduced(theory,[tha_non-reflexivity])).
% 0.74/0.25 tff(f12,definition,(
% 0.74/0.25 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(X1,X2) | ~$less(X0,X1) | $less(X0,X2)) )),
% 0.74/0.25 introduced(theory,[tha_transitivity])).
% 0.74/0.25 tff(f13,definition,(
% 0.74/0.25 ( ! [X0 : $int,X1 : $int] : ($less(X1,X0) | $less(X0,X1) | X0 = X1) )),
% 0.74/0.25 introduced(theory,[tha_order_totality])).
% 0.74/0.25 tff(f14,definition,(
% 0.74/0.25 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less($sum(X0,X2),$sum(X1,X2)) | ~$less(X0,X1)) )),
% 0.74/0.25 introduced(theory,[tha_order_monotonicity])).
% 0.74/0.25 tff(f15,definition,(
% 0.74/0.25 ( ! [X0 : $int,X1 : $int] : ($less(X1,$sum(X0,1)) | $less(X0,X1)) )),
% 0.74/0.25 introduced(theory,[tha_order_plus_one_dichotomy])).
% 0.74/0.25 tff(f16,definition,(
% 0.74/0.25 ( ! [X0 : $int] : ($uminus($uminus(X0)) = X0) )),
% 0.74/0.25 introduced(theory,[tha_minus_minus_x])).
% 0.74/0.25 tff(f17,definition,(
% 0.74/0.25 ( ! [X0 : $int,X1 : $int] : (~$less(X1,$sum(X0,1)) | ~$less(X0,X1)) )),
% 0.74/0.25 introduced(theory,[tha_extra_integer_ordering])).
% 0.74/0.25 tff(f18,plain,(
% 0.74/0.25 ? [X0 : array,X1 : array,X2 : $int,X3 : $int] : (? [X5 : $int] : (~$less(0,read(X1,X5)) & (~$less(X5,X2) & ~$less(X3,X5))) & (! [X4 : $int] : ($less(0,read(X0,X4)) | ($less(X4,X2) | $less(X3,X4))) & X1 = write(X0,$sum(X2,2),$sum(read(X0,$sum(X2,1)),1))))),
% 0.74/0.25 inference(ennf_transformation,[],[f5])).
% 0.74/0.25 tff(f19,plain,(
% 0.74/0.25 ? [X0 : array,X1 : array,X2 : $int,X3 : $int] : (? [X5 : $int] : (~$less(0,read(X1,X5)) & ~$less(X5,X2) & ~$less(X3,X5)) & ! [X4 : $int] : ($less(0,read(X0,X4)) | $less(X4,X2) | $less(X3,X4)) & X1 = write(X0,$sum(X2,2),$sum(read(X0,$sum(X2,1)),1)))),
% 0.74/0.25 inference(flattening,[],[f18])).
% 0.74/0.25 tff(f20,plain,(
% 0.74/0.25 ( ! [X2 : $int,X0 : array,X1 : $int] : (read(write(X0,X1,X2),X1) = X2) )),
% 0.74/0.25 inference(cnf_transformation,[],[f1])).
% 0.74/0.25 tff(f21,plain,(
% 0.74/0.25 ( ! [X2 : $int,X3 : $int,X0 : array,X1 : $int] : (read(write(X0,X1,X3),X2) = read(X0,X2) | X1 = X2) )),
% 0.74/0.25 inference(cnf_transformation,[],[f2])).
% 0.74/0.25 tff(f22,plain,(
% 0.74/0.25 ~$less(sK3,sK4)),
% 0.74/0.25 inference(cnf_transformation,[],[f19])).
% 0.74/0.25 tff(f23,plain,(
% 0.74/0.25 ~$less(sK4,sK2)),
% 0.74/0.25 inference(cnf_transformation,[],[f19])).
% 0.74/0.25 tff(f24,plain,(
% 0.74/0.25 ~$less(0,read(sK1,sK4))),
% 0.74/0.25 inference(cnf_transformation,[],[f19])).
% 0.74/0.25 tff(f25,plain,(
% 0.74/0.25 ( ! [X4 : $int] : ($less(0,read(sK0,X4)) | $less(X4,sK2) | $less(sK3,X4)) )),
% 0.74/0.25 inference(cnf_transformation,[],[f19])).
% 0.74/0.25 tff(f26,plain,(
% 0.74/0.25 sK1 = write(sK0,$sum(sK2,2),$sum(read(sK0,$sum(sK2,1)),1))),
% 0.74/0.25 inference(cnf_transformation,[],[f19])).
% 0.74/0.25 tff(f30,plain,(
% 0.74/0.25 ( ! [X0 : $int] : (0 = $sum($uminus(X0),X0)) )),
% 0.74/0.25 inference(superposition,[],[f10,f16])).
% 0.74/0.25 tff(f68,plain,(
% 0.74/0.25 ( ! [X0 : $int] : ($less(X0,$sum(X0,1))) )),
% 0.74/0.25 inference(resolution,[],[f15,f11])).
% 0.74/0.25 tff(f69,plain,(
% 0.74/0.25 ( ! [X0 : $int,X1 : $int] : ($less(X1,$sum(1,X0)) | $less(X0,X1)) )),
% 0.74/0.25 inference(superposition,[],[f15,f6])).
% 0.74/0.25 tff(f71,plain,(
% 0.74/0.25 ( ! [X0 : $int] : ($less(X0,0) | $less($uminus(1),X0)) )),
% 0.74/0.25 inference(superposition,[],[f15,f30])).
% 0.74/0.25 tff(f72,plain,(
% 0.74/0.25 ( ! [X0 : $int] : ($less(X0,0) | $less(-1,X0)) )),
% 0.74/0.25 inference(evaluation,[],[f71])).
% 0.74/0.25 tff(f73,plain,(
% 0.74/0.25 ( ! [X0 : $int] : ($less(X0,$sum(1,X0))) )),
% 0.74/0.25 inference(superposition,[],[f68,f6])).
% 0.74/0.25 tff(f78,plain,(
% 0.74/0.25 ( ! [X0 : $int,X1 : $int] : (~$less(X1,$sum(1,X0)) | ~$less(X0,X1)) )),
% 0.74/0.25 inference(superposition,[],[f17,f6])).
% 0.74/0.25 tff(f80,plain,(
% 0.74/0.25 ( ! [X0 : $int] : (~$less(X0,0) | ~$less($uminus(1),X0)) )),
% 0.74/0.25 inference(superposition,[],[f17,f30])).
% 0.74/0.25 tff(f81,plain,(
% 0.74/0.25 ( ! [X0 : $int] : (~$less(-1,X0) | ~$less(X0,0)) )),
% 0.74/0.25 inference(evaluation,[],[f80])).
% 0.74/0.25 tff(f95,plain,(
% 0.74/0.25 $sum(read(sK0,$sum(sK2,1)),1) = read(sK1,$sum(sK2,2))),
% 0.74/0.25 inference(superposition,[],[f20,f26])).
% 0.74/0.25 tff(f97,plain,(
% 0.74/0.25 $sum(read(sK0,$sum(sK2,1)),1) = read(sK1,$sum(2,sK2))),
% 0.74/0.25 inference(forward_demodulation,[],[f95,f6])).
% 0.74/0.25 tff(f98,plain,(
% 0.74/0.25 $sum(1,read(sK0,$sum(sK2,1))) = read(sK1,$sum(2,sK2))),
% 0.74/0.25 inference(forward_demodulation,[],[f97,f6])).
% 0.74/0.25 tff(f99,plain,(
% 0.74/0.25 $sum(1,read(sK0,$sum(1,sK2))) = read(sK1,$sum(2,sK2))),
% 0.74/0.25 inference(forward_demodulation,[],[f98,f6])).
% 0.74/0.25 tff(f111,plain,(
% 0.74/0.25 ( ! [X0 : $int] : ($less(X0,read(sK1,$sum(2,sK2))) | $less(read(sK0,$sum(1,sK2)),X0)) )),
% 0.74/0.25 inference(superposition,[],[f69,f99])).
% 0.74/0.25 tff(f112,plain,(
% 0.74/0.25 ( ! [X0 : $int] : ($less(X0,1) | $less(0,X0)) )),
% 0.74/0.25 inference(superposition,[],[f69,f8])).
% 0.74/0.25 tff(f120,plain,(
% 0.74/0.25 ( ! [X0 : $int] : ($less($sum(X0,1),read(sK1,$sum(2,sK2))) | ~$less(X0,read(sK0,$sum(1,sK2)))) )),
% 0.74/0.25 inference(resolution,[],[f111,f17])).
% 0.74/0.25 tff(f126,definition,(
% 0.74/0.25 spl5_2 <=> $less(read(sK0,$sum(1,sK2)),-1)),
% 0.74/0.25 introduced(definition,[new_symbols(definition,[spl5_2])],[avatar_definition])).
% 0.74/0.25 tff(f127,plain,(
% 0.74/0.25 ~$less(read(sK0,$sum(1,sK2)),-1) | spl5_2),
% 0.74/0.25 inference(avatar_component_clause,[],[f126])).
% 0.74/0.25 tff(f128,plain,(
% 0.74/0.25 $less(read(sK0,$sum(1,sK2)),-1) | ~spl5_2),
% 0.74/0.25 inference(avatar_component_clause,[],[f126])).
% 0.74/0.25 tff(f132,plain,(
% 0.74/0.25 ( ! [X0 : $int] : ($less($sum(1,X0),read(sK1,$sum(2,sK2))) | ~$less(X0,read(sK0,$sum(1,sK2)))) )),
% 0.74/0.25 inference(superposition,[],[f120,f6])).
% 0.74/0.25 tff(f137,definition,(
% 0.74/0.25 spl5_3 <=> $less(-1,read(sK0,$sum(1,sK2)))),
% 0.74/0.25 introduced(definition,[new_symbols(definition,[spl5_3])],[avatar_definition])).
% 0.74/0.25 tff(f141,definition,(
% 0.74/0.25 spl5_4 <=> $less(0,read(sK1,$sum(2,sK2)))),
% 0.74/0.25 introduced(definition,[new_symbols(definition,[spl5_4])],[avatar_definition])).
% 0.74/0.25 tff(f143,plain,(
% 0.74/0.25 $less(0,read(sK1,$sum(2,sK2))) | ~spl5_4),
% 0.74/0.25 inference(avatar_component_clause,[],[f141])).
% 0.74/0.25 tff(f148,plain,(
% 0.74/0.25 $less(0,read(sK1,$sum(2,sK2))) | ~$less($uminus(1),read(sK0,$sum(1,sK2)))),
% 0.74/0.25 inference(superposition,[],[f132,f10])).
% 0.74/0.25 tff(f151,plain,(
% 0.74/0.25 $less(0,read(sK1,$sum(2,sK2))) | ~$less(-1,read(sK0,$sum(1,sK2)))),
% 0.74/0.25 inference(evaluation,[],[f148])).
% 0.74/0.25 tff(f157,definition,(
% 0.74/0.25 spl5_6 <=> $less(1,read(sK1,$sum(2,sK2)))),
% 0.74/0.25 introduced(definition,[new_symbols(definition,[spl5_6])],[avatar_definition])).
% 0.74/0.25 tff(f159,plain,(
% 0.74/0.25 $less(1,read(sK1,$sum(2,sK2))) | ~spl5_6),
% 0.74/0.25 inference(avatar_component_clause,[],[f157])).
% 0.74/0.25 tff(f163,definition,(
% 0.74/0.25 spl5_7 <=> $less(sK3,$sum(1,sK2))),
% 0.74/0.25 introduced(definition,[new_symbols(definition,[spl5_7])],[avatar_definition])).
% 0.74/0.25 tff(f165,plain,(
% 0.74/0.25 $less(sK3,$sum(1,sK2)) | ~spl5_7),
% 0.74/0.25 inference(avatar_component_clause,[],[f163])).
% 0.74/0.25 tff(f167,definition,(
% 0.74/0.25 spl5_8 <=> $less($sum(1,sK2),sK2)),
% 0.74/0.25 introduced(definition,[new_symbols(definition,[spl5_8])],[avatar_definition])).
% 0.74/0.25 tff(f168,plain,(
% 0.74/0.25 ~$less($sum(1,sK2),sK2) | spl5_8),
% 0.74/0.25 inference(avatar_component_clause,[],[f167])).
% 0.74/0.25 tff(f169,plain,(
% 0.74/0.25 $less($sum(1,sK2),sK2) | ~spl5_8),
% 0.74/0.25 inference(avatar_component_clause,[],[f167])).
% 0.74/0.25 tff(f171,plain,(
% 0.74/0.25 ~spl5_3 | spl5_4),
% 0.74/0.25 inference(avatar_split_clause,[],[f151,f141,f137])).
% 0.74/0.25 tff(f174,plain,(
% 0.74/0.25 $less(read(sK1,sK4),1)),
% 0.74/0.25 inference(resolution,[],[f112,f24])).
% 0.74/0.25 tff(f184,plain,(
% 0.74/0.25 ( ! [X0 : $int] : (~$less(read(sK0,$sum(1,sK2)),X0) | ~$less(X0,read(sK1,$sum(2,sK2)))) )),
% 0.74/0.25 inference(superposition,[],[f78,f99])).
% 0.74/0.25 tff(f185,plain,(
% 0.74/0.25 ( ! [X0 : $int] : (~$less(0,X0) | ~$less(X0,1)) )),
% 0.74/0.25 inference(superposition,[],[f78,f8])).
% 0.74/0.25 tff(f194,plain,(
% 0.74/0.25 ~$less(0,read(sK1,$sum(2,sK2))) | $less(-1,read(sK0,$sum(1,sK2)))),
% 0.74/0.25 inference(resolution,[],[f184,f72])).
% 0.74/0.25 tff(f199,plain,(
% 0.74/0.25 ~$less(1,read(sK1,$sum(2,sK2))) | $less(0,read(sK0,$sum(1,sK2)))),
% 0.74/0.25 inference(resolution,[],[f184,f112])).
% 0.74/0.25 tff(f200,plain,(
% 0.74/0.25 $less(0,read(sK0,$sum(1,sK2))) | ~spl5_6),
% 0.74/0.25 inference(forward_subsumption_resolution,[],[f199,f159])).
% 0.74/0.25 tff(f203,plain,(
% 0.74/0.25 $less(-1,read(sK0,$sum(1,sK2))) | ~spl5_4),
% 0.74/0.25 inference(forward_subsumption_resolution,[],[f194,f143])).
% 0.74/0.25 tff(f205,plain,(
% 0.74/0.25 ~$less(read(sK0,$sum(1,sK2)),0) | ~spl5_4),
% 0.74/0.25 inference(resolution,[],[f203,f81])).
% 0.74/0.25 tff(f226,plain,(
% 0.74/0.25 ( ! [X0 : $int] : (~$less(read(sK0,X0),1) | $less(X0,sK2) | $less(sK3,X0)) )),
% 0.74/0.25 inference(resolution,[],[f185,f25])).
% 0.74/0.25 tff(f227,plain,(
% 0.74/0.25 ~$less(read(sK0,$sum(1,sK2)),1) | ~spl5_6),
% 0.74/0.25 inference(resolution,[],[f185,f200])).
% 0.74/0.25 tff(f230,plain,(
% 0.74/0.25 ~$less(read(sK1,$sum(2,sK2)),1) | $less(read(sK0,$sum(1,sK2)),0)),
% 0.74/0.25 inference(resolution,[],[f185,f111])).
% 0.74/0.25 tff(f237,plain,(
% 0.74/0.25 ~$less(read(sK1,$sum(2,sK2)),1) | ~spl5_4),
% 0.74/0.25 inference(forward_subsumption_resolution,[],[f230,f205])).
% 0.74/0.25 tff(f241,plain,(
% 0.74/0.25 $less($sum(1,sK2),sK2) | $less(sK3,$sum(1,sK2)) | $less(1,read(sK1,$sum(2,sK2)))),
% 0.74/0.25 inference(resolution,[],[f226,f111])).
% 0.74/0.25 tff(f296,plain,(
% 0.74/0.25 ( ! [X0 : $int] : (~$less(X0,read(sK0,$sum(1,sK2))) | $less(X0,-1)) ) | ~spl5_2),
% 0.74/0.25 inference(resolution,[],[f12,f128])).
% 0.74/0.25 tff(f297,plain,(
% 0.74/0.25 ( ! [X0 : $int] : (~$less(X0,read(sK1,sK4)) | $less(X0,1)) )),
% 0.74/0.25 inference(resolution,[],[f12,f174])).
% 0.74/0.25 tff(f309,plain,(
% 0.74/0.25 ( ! [X0 : $int] : (~$less(X0,$sum(1,sK2)) | $less(X0,sK2)) ) | ~spl5_8),
% 0.74/0.25 inference(resolution,[],[f12,f169])).
% 0.74/0.25 tff(f317,plain,(
% 0.74/0.25 $less(sK2,sK2) | ~spl5_8),
% 0.74/0.25 inference(resolution,[],[f309,f73])).
% 0.74/0.25 tff(f349,plain,(
% 0.74/0.25 $false | ~spl5_8),
% 0.74/0.25 inference(forward_subsumption_resolution,[],[f317,f11])).
% 0.74/0.25 tff(f350,plain,(
% 0.74/0.25 ~spl5_8),
% 0.74/0.25 inference(avatar_contradiction_clause,[],[f349])).
% 0.74/0.25 tff(f355,plain,(
% 0.74/0.25 $less(0,-1) | $less(read(sK0,$sum(1,sK2)),1) | ~spl5_2),
% 0.74/0.25 inference(resolution,[],[f296,f112])).
% 0.74/0.25 tff(f361,plain,(
% 0.74/0.25 $less(read(sK0,$sum(1,sK2)),1) | ~spl5_2),
% 0.74/0.25 inference(evaluation,[],[f355])).
% 0.74/0.25 tff(f367,plain,(
% 0.74/0.25 $false | (~spl5_2 | ~spl5_6)),
% 0.74/0.25 inference(forward_subsumption_resolution,[],[f361,f227])).
% 0.74/0.25 tff(f368,plain,(
% 0.74/0.25 ~spl5_2 | ~spl5_6),
% 0.74/0.25 inference(avatar_contradiction_clause,[],[f367])).
% 0.74/0.25 tff(f381,plain,(
% 0.74/0.25 $less(sK3,$sum(1,sK2)) | $less(1,read(sK1,$sum(2,sK2))) | spl5_8),
% 0.74/0.25 inference(forward_subsumption_resolution,[],[f241,f168])).
% 0.74/0.25 tff(f396,plain,(
% 0.74/0.25 spl5_6 | spl5_7 | spl5_8),
% 0.74/0.25 inference(avatar_split_clause,[],[f381,f167,f163,f157])).
% 0.74/0.25 tff(f397,plain,(
% 0.74/0.25 ~$less(sK2,sK3) | ~spl5_7),
% 0.74/0.25 inference(resolution,[],[f165,f78])).
% 0.74/0.25 tff(f417,plain,(
% 0.74/0.25 $less(sK2,sK4) | sK2 = sK4),
% 0.74/0.25 inference(resolution,[],[f13,f23])).
% 0.74/0.25 tff(f452,definition,(
% 0.74/0.25 spl5_21 <=> sK2 = sK4),
% 0.74/0.25 introduced(definition,[new_symbols(definition,[spl5_21])],[avatar_definition])).
% 0.74/0.25 tff(f454,plain,(
% 0.74/0.25 sK2 = sK4 | ~spl5_21),
% 0.74/0.25 inference(avatar_component_clause,[],[f452])).
% 0.74/0.25 tff(f456,definition,(
% 0.74/0.25 spl5_22 <=> $less(sK2,sK4)),
% 0.74/0.25 introduced(definition,[new_symbols(definition,[spl5_22])],[avatar_definition])).
% 0.74/0.25 tff(f458,plain,(
% 0.74/0.25 $less(sK2,sK4) | ~spl5_22),
% 0.74/0.25 inference(avatar_component_clause,[],[f456])).
% 0.74/0.25 tff(f470,definition,(
% 0.74/0.25 spl5_25 <=> 0 = read(sK1,sK4)),
% 0.74/0.25 introduced(definition,[new_symbols(definition,[spl5_25])],[avatar_definition])).
% 0.74/0.25 tff(f471,plain,(
% 0.74/0.25 0 != read(sK1,sK4) | spl5_25),
% 0.74/0.25 inference(avatar_component_clause,[],[f470])).
% 0.74/0.25 tff(f472,plain,(
% 0.74/0.25 0 = read(sK1,sK4) | ~spl5_25),
% 0.74/0.25 inference(avatar_component_clause,[],[f470])).
% 0.74/0.25 tff(f479,plain,(
% 0.74/0.25 spl5_21 | spl5_22),
% 0.74/0.25 inference(avatar_split_clause,[],[f417,f456,f452])).
% 0.74/0.25 tff(f482,plain,(
% 0.74/0.25 ( ! [X0 : $int] : (~$less(X0,sK2) | $less(X0,sK4)) ) | ~spl5_22),
% 0.74/0.25 inference(resolution,[],[f458,f12])).
% 0.74/0.25 tff(f484,plain,(
% 0.74/0.25 $less(sK3,sK2) | sK2 = sK3 | ~spl5_7),
% 0.74/0.25 inference(resolution,[],[f397,f13])).
% 0.74/0.25 tff(f487,definition,(
% 0.74/0.25 spl5_27 <=> sK2 = sK3),
% 0.74/0.25 introduced(definition,[new_symbols(definition,[spl5_27])],[avatar_definition])).
% 0.74/0.25 tff(f489,plain,(
% 0.74/0.25 sK2 = sK3 | ~spl5_27),
% 0.74/0.25 inference(avatar_component_clause,[],[f487])).
% 0.74/0.25 tff(f491,definition,(
% 0.74/0.25 spl5_28 <=> $less(sK3,sK2)),
% 0.74/0.25 introduced(definition,[new_symbols(definition,[spl5_28])],[avatar_definition])).
% 0.74/0.25 tff(f493,plain,(
% 0.74/0.25 $less(sK3,sK2) | ~spl5_28),
% 0.74/0.25 inference(avatar_component_clause,[],[f491])).
% 0.74/0.25 tff(f495,plain,(
% 0.74/0.25 spl5_27 | spl5_28 | ~spl5_7),
% 0.74/0.25 inference(avatar_split_clause,[],[f484,f163,f491,f487])).
% 0.74/0.25 tff(f499,plain,(
% 0.74/0.25 ~$less(sK2,sK4) | ~spl5_27),
% 0.74/0.25 inference(superposition,[],[f22,f489])).
% 0.74/0.25 tff(f500,plain,(
% 0.74/0.25 $false | (~spl5_22 | ~spl5_27)),
% 0.74/0.25 inference(forward_subsumption_resolution,[],[f499,f458])).
% 0.74/0.25 tff(f501,plain,(
% 0.74/0.25 ~spl5_22 | ~spl5_27),
% 0.74/0.25 inference(avatar_contradiction_clause,[],[f500])).
% 0.74/0.25 tff(f510,plain,(
% 0.74/0.25 $less(sK3,sK4) | (~spl5_22 | ~spl5_28)),
% 0.74/0.25 inference(resolution,[],[f482,f493])).
% 0.74/0.25 tff(f521,plain,(
% 0.74/0.25 $false | (~spl5_22 | ~spl5_28)),
% 0.74/0.25 inference(forward_subsumption_resolution,[],[f510,f22])).
% 0.74/0.25 tff(f522,plain,(
% 0.74/0.25 ~spl5_22 | ~spl5_28),
% 0.74/0.25 inference(avatar_contradiction_clause,[],[f521])).
% 0.74/0.25 tff(f543,plain,(
% 0.74/0.25 ~$less(sK3,sK2) | ~spl5_21),
% 0.74/0.25 inference(superposition,[],[f22,f454])).
% 0.74/0.25 tff(f579,plain,(
% 0.74/0.25 ( ! [X0 : $int] : (~$less(X0,0) | $less(X0,1)) ) | ~spl5_25),
% 0.74/0.25 inference(superposition,[],[f297,f472])).
% 0.74/0.25 tff(f602,plain,(
% 0.74/0.25 ( ! [X0 : $int] : ($less(X0,1) | $less(-1,X0)) ) | ~spl5_25),
% 0.74/0.25 inference(resolution,[],[f579,f72])).
% 0.74/0.25 tff(f647,plain,(
% 0.74/0.25 ~$less(0,read(sK1,sK2)) | ~spl5_21),
% 0.74/0.25 inference(superposition,[],[f24,f454])).
% 0.74/0.25 tff(f702,plain,(
% 0.74/0.25 $less(-1,read(sK0,$sum(1,sK2))) | ~$less(1,read(sK1,$sum(2,sK2))) | ~spl5_25),
% 0.74/0.25 inference(resolution,[],[f602,f184])).
% 0.74/0.25 tff(f718,plain,(
% 0.74/0.25 ~spl5_6 | spl5_3 | ~spl5_25),
% 0.74/0.25 inference(avatar_split_clause,[],[f702,f470,f137,f157])).
% 0.74/0.25 tff(f732,definition,(
% 0.74/0.25 spl5_43 <=> read(sK0,$sum(1,sK2)) = -1),
% 0.74/0.25 introduced(definition,[new_symbols(definition,[spl5_43])],[avatar_definition])).
% 0.74/0.25 tff(f734,plain,(
% 0.74/0.25 read(sK0,$sum(1,sK2)) = -1 | ~spl5_43),
% 0.74/0.25 inference(avatar_component_clause,[],[f732])).
% 0.74/0.25 tff(f742,plain,(
% 0.74/0.25 $less(0,read(sK1,$sum(2,sK2))) | ~spl5_4),
% 0.74/0.25 inference(resolution,[],[f237,f112])).
% 0.74/0.25 tff(f1695,plain,(
% 0.74/0.25 ( ! [X0 : $int] : (read(sK0,X0) = read(sK1,X0) | $sum(sK2,2) = X0) )),
% 0.74/0.25 inference(superposition,[],[f21,f26])).
% 0.74/0.25 tff(f1698,plain,(
% 0.74/0.25 ( ! [X0 : $int] : (read(sK0,X0) = read(sK1,X0) | $sum(2,sK2) = X0) )),
% 0.74/0.25 inference(forward_demodulation,[],[f1695,f6])).
% 0.74/0.25 tff(f1822,plain,(
% 0.74/0.25 ~$less(0,read(sK0,sK2)) | sK2 = $sum(2,sK2) | ~spl5_21),
% 0.74/0.25 inference(superposition,[],[f647,f1698])).
% 0.74/0.25 tff(f1825,plain,(
% 0.74/0.25 ~$less(0,read(sK0,sK4)) | sK4 = $sum(2,sK2)),
% 0.74/0.25 inference(superposition,[],[f24,f1698])).
% 0.74/0.25 tff(f1830,definition,(
% 0.74/0.25 spl5_53 <=> sK2 = $sum(2,sK2)),
% 0.74/0.25 introduced(definition,[new_symbols(definition,[spl5_53])],[avatar_definition])).
% 0.74/0.25 tff(f1832,plain,(
% 0.74/0.25 sK2 = $sum(2,sK2) | ~spl5_53),
% 0.74/0.25 inference(avatar_component_clause,[],[f1830])).
% 0.74/0.25 tff(f1834,definition,(
% 0.74/0.25 spl5_54 <=> $less(0,read(sK0,sK2))),
% 0.74/0.25 introduced(definition,[new_symbols(definition,[spl5_54])],[avatar_definition])).
% 0.74/0.25 tff(f1836,plain,(
% 0.74/0.25 ~$less(0,read(sK0,sK2)) | spl5_54),
% 0.74/0.25 inference(avatar_component_clause,[],[f1834])).
% 0.74/0.25 tff(f1837,plain,(
% 0.74/0.25 spl5_53 | ~spl5_54 | ~spl5_21),
% 0.74/0.25 inference(avatar_split_clause,[],[f1822,f452,f1834,f1830])).
% 0.74/0.25 tff(f1868,definition,(
% 0.74/0.25 spl5_60 <=> sK4 = $sum(2,sK2)),
% 0.74/0.25 introduced(definition,[new_symbols(definition,[spl5_60])],[avatar_definition])).
% 0.74/0.25 tff(f1870,plain,(
% 0.74/0.25 sK4 = $sum(2,sK2) | ~spl5_60),
% 0.74/0.25 inference(avatar_component_clause,[],[f1868])).
% 0.74/0.25 tff(f1872,definition,(
% 0.74/0.25 spl5_61 <=> $less(0,read(sK0,sK4))),
% 0.74/0.25 introduced(definition,[new_symbols(definition,[spl5_61])],[avatar_definition])).
% 0.74/0.25 tff(f1874,plain,(
% 0.74/0.25 ~$less(0,read(sK0,sK4)) | spl5_61),
% 0.74/0.25 inference(avatar_component_clause,[],[f1872])).
% 0.74/0.25 tff(f1875,plain,(
% 0.74/0.25 spl5_60 | ~spl5_61),
% 0.74/0.25 inference(avatar_split_clause,[],[f1825,f1872,f1868])).
% 0.74/0.25 tff(f2172,plain,(
% 0.74/0.25 $less(sK2,sK2) | $less(sK3,sK2) | spl5_54),
% 0.74/0.25 inference(resolution,[],[f1836,f25])).
% 0.74/0.25 tff(f2180,plain,(
% 0.74/0.25 $less(sK3,sK2) | spl5_54),
% 0.74/0.25 inference(forward_subsumption_resolution,[],[f2172,f11])).
% 0.74/0.25 tff(f2181,plain,(
% 0.74/0.25 $false | (~spl5_21 | spl5_54)),
% 0.74/0.25 inference(forward_subsumption_resolution,[],[f2180,f543])).
% 0.74/0.25 tff(f2182,plain,(
% 0.74/0.25 ~spl5_21 | spl5_54),
% 0.74/0.25 inference(avatar_contradiction_clause,[],[f2181])).
% 0.74/0.25 tff(f2362,plain,(
% 0.74/0.25 ( ! [X0 : $int] : (~$less(X0,2) | $less($sum(X0,sK2),sK2)) ) | ~spl5_53),
% 0.74/0.25 inference(superposition,[],[f14,f1832])).
% 0.74/0.25 tff(f2511,plain,(
% 0.74/0.25 $less(-1,read(sK0,$sum(1,sK2))) | read(sK0,$sum(1,sK2)) = -1 | spl5_2),
% 0.74/0.25 inference(resolution,[],[f127,f13])).
% 0.74/0.25 tff(f2546,plain,(
% 0.74/0.25 $sum(1,-1) = read(sK1,$sum(2,sK2)) | ~spl5_43),
% 0.74/0.25 inference(superposition,[],[f99,f734])).
% 0.74/0.25 tff(f2560,plain,(
% 0.74/0.25 0 = read(sK1,$sum(2,sK2)) | ~spl5_43),
% 0.74/0.25 inference(evaluation,[],[f2546])).
% 0.74/0.25 tff(f2727,plain,(
% 0.74/0.25 $less($sum(0,sK2),sK2) | $less(2,1) | ~spl5_53),
% 0.74/0.25 inference(resolution,[],[f2362,f112])).
% 0.74/0.25 tff(f2730,plain,(
% 0.74/0.25 $less(sK2,sK2) | ~spl5_53),
% 0.74/0.25 inference(evaluation,[],[f2727])).
% 0.74/0.25 tff(f2731,plain,(
% 0.74/0.25 $false | ~spl5_53),
% 0.74/0.25 inference(forward_subsumption_resolution,[],[f2730,f11])).
% 0.74/0.25 tff(f2732,plain,(
% 0.74/0.25 ~spl5_53),
% 0.74/0.25 inference(avatar_contradiction_clause,[],[f2731])).
% 0.74/0.25 tff(f2742,plain,(
% 0.74/0.25 spl5_43 | spl5_3 | spl5_2),
% 0.74/0.25 inference(avatar_split_clause,[],[f2511,f126,f137,f732])).
% 0.74/0.25 tff(f3079,plain,(
% 0.74/0.25 $less(sK4,sK2) | $less(sK3,sK4) | spl5_61),
% 0.74/0.25 inference(resolution,[],[f1874,f25])).
% 0.74/0.25 tff(f3086,plain,(
% 0.74/0.25 $less(sK3,sK4) | spl5_61),
% 0.74/0.25 inference(forward_subsumption_resolution,[],[f3079,f23])).
% 0.74/0.25 tff(f3087,plain,(
% 0.74/0.25 $false | spl5_61),
% 0.74/0.25 inference(forward_subsumption_resolution,[],[f3086,f22])).
% 0.74/0.25 tff(f3088,plain,(
% 0.74/0.25 spl5_61),
% 0.74/0.25 inference(avatar_contradiction_clause,[],[f3087])).
% 0.74/0.25 tff(f4107,plain,(
% 0.74/0.25 0 = read(sK1,sK4) | (~spl5_43 | ~spl5_60)),
% 0.74/0.25 inference(forward_demodulation,[],[f2560,f1870])).
% 0.74/0.25 tff(f4114,plain,(
% 0.74/0.25 $false | (spl5_25 | ~spl5_43 | ~spl5_60)),
% 0.74/0.25 inference(forward_subsumption_resolution,[],[f4107,f471])).
% 0.74/0.25 tff(f4115,plain,(
% 0.74/0.25 spl5_25 | ~spl5_43 | ~spl5_60),
% 0.74/0.25 inference(avatar_contradiction_clause,[],[f4114])).
% 0.74/0.25 tff(f4119,plain,(
% 0.74/0.25 $less(0,read(sK1,sK4)) | (~spl5_4 | ~spl5_60)),
% 0.74/0.25 inference(forward_demodulation,[],[f742,f1870])).
% 0.74/0.25 tff(f4130,plain,(
% 0.74/0.25 $false | (~spl5_4 | ~spl5_60)),
% 0.74/0.25 inference(forward_subsumption_resolution,[],[f4119,f24])).
% 0.74/0.25 tff(f4131,plain,(
% 0.74/0.25 ~spl5_4 | ~spl5_60),
% 0.74/0.25 inference(avatar_contradiction_clause,[],[f4130])).
% 0.74/0.25 cnf(s5, plain, ~spl5_3 | spl5_4, inference(sat_conversion,[],[f171])).
% 0.74/0.25 cnf(s9, plain, ~spl5_8, inference(sat_conversion,[],[f350])).
% 0.74/0.25 cnf(s13, plain, ~spl5_2 | ~spl5_6, inference(sat_conversion,[],[f368])).
% 0.74/0.25 cnf(s23, plain, spl5_6 | spl5_7 | spl5_8, inference(sat_conversion,[],[f396])).
% 0.74/0.25 cnf(s29, plain, spl5_21 | spl5_22, inference(sat_conversion,[],[f479])).
% 0.74/0.25 cnf(s33, plain, ~spl5_7 | spl5_27 | spl5_28, inference(sat_conversion,[],[f495])).
% 0.74/0.25 cnf(s34, plain, ~spl5_22 | ~spl5_27, inference(sat_conversion,[],[f501])).
% 0.74/0.25 cnf(s37, plain, ~spl5_22 | ~spl5_28, inference(sat_conversion,[],[f522])).
% 0.74/0.25 cnf(s57, plain, spl5_3 | ~spl5_6 | ~spl5_25, inference(sat_conversion,[],[f718])).
% 0.74/0.25 cnf(s101, plain, ~spl5_21 | spl5_53 | ~spl5_54, inference(sat_conversion,[],[f1837])).
% 0.74/0.25 cnf(s110, plain, spl5_60 | ~spl5_61, inference(sat_conversion,[],[f1875])).
% 0.74/0.25 cnf(s136, plain, ~spl5_21 | spl5_54, inference(sat_conversion,[],[f2182])).
% 0.74/0.25 cnf(s177, plain, ~spl5_53, inference(sat_conversion,[],[f2732])).
% 0.74/0.25 cnf(s181, plain, spl5_2 | spl5_3 | spl5_43, inference(sat_conversion,[],[f2742])).
% 0.74/0.25 cnf(s222, plain, spl5_61, inference(sat_conversion,[],[f3088])).
% 0.74/0.25 cnf(s340, plain, spl5_25 | ~spl5_43 | ~spl5_60, inference(sat_conversion,[],[f4115])).
% 0.74/0.25 cnf(s344, plain, ~spl5_4 | ~spl5_60, inference(sat_conversion,[],[f4131])).
% 0.74/0.25 cnf(s351, plain, spl5_60, inference(rat,[],[s110,s222])).
% 0.74/0.25 cnf(s354, plain, ~spl5_4, inference(rat,[],[s344,s351])).
% 0.74/0.25 cnf(s364, plain, ~spl5_21 | ~spl5_54, inference(rat,[],[s101,s177])).
% 0.74/0.25 cnf(s373, plain, ~spl5_3, inference(rat,[],[s5,s354])).
% 0.74/0.25 cnf(s376, plain, ~spl5_21, inference(rat,[],[s364,s136])).
% 0.74/0.25 cnf(s377, plain, spl5_22, inference(rat,[],[s29,s376])).
% 0.74/0.25 cnf(s378, plain, ~spl5_28, inference(rat,[],[s37,s377])).
% 0.74/0.25 cnf(s379, plain, ~spl5_27, inference(rat,[],[s34,s377])).
% 0.74/0.25 cnf(s382, plain, ~spl5_7, inference(rat,[],[s33,s378,s379])).
% 0.74/0.25 cnf(s385, plain, spl5_6, inference(rat,[],[s23,s9,s382])).
% 0.74/0.25 cnf(s390, plain, ~spl5_25, inference(rat,[],[s57,s373,s385])).
% 0.74/0.25 cnf(s391, plain, ~spl5_2, inference(rat,[],[s13,s385])).
% 0.74/0.25 cnf(s394, plain, ~spl5_43, inference(rat,[],[s340,s351,s390])).
% 0.74/0.25 cnf(s397, plain, $false, inference(rat,[],[s181,s373,s394,s391])).
% 0.74/0.25 tff(f4136,plain,(
% 0.74/0.25 $false),
% 0.74/0.25 inference(avatar_sat_refutation,[],[s397])).
% 0.74/0.25 % SZS output end Proof for theBenchmark
% 0.74/0.25 % (3913668)------------------------------
% 0.74/0.25 % (3913668)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.25 % (3913668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.25 % (3913668)CaDiCaL version: 2.1.3
% 0.74/0.25 % (3913668)Termination reason: Refutation
% 0.74/0.25 % (3913668)Time elapsed: 0.054 s
% 0.74/0.25 % (3913668)Peak memory usage: 13 MB
% 0.74/0.25 % (3913668)Instructions burned: 150 (million)
% 0.74/0.25 % (3913645)Success in time 0.125 s
% 0.74/0.25 % Vampire exiting
%------------------------------------------------------------------------------