%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : DAT330_1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:48:30 AM UTC 2026
% Result : Unsatisfiable 1.94s 0.56s
% Output : Refutation 1.94s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : DAT330_1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.17 % Computer : n009.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 00:19:45 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 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
% 1.94/0.56 % (3642953)Will run a generic schedule for satisfiability detection.
% 1.94/0.56 % (3642962)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=661984886_2999 on theBenchmark for (2999ds/0Mi)
% 1.94/0.56 % (3642962)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.94/0.56 % (3642962)Terminated due to inappropriate strategy.
% 1.94/0.56 % (3642962)------------------------------
% 1.94/0.56 % (3642962)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.56 % (3642962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.56 % (3642962)CaDiCaL version: 2.1.3
% 1.94/0.56 % (3642962)Termination reason: Inappropriate
% 1.94/0.56 % (3642962)Time elapsed: 0.0000 s
% 1.94/0.56 % (3642962)Peak memory usage: 10 MB
% 1.94/0.56 % (3642962)Instructions burned: 1 (million)
% 1.94/0.56 % (3642962)------------------------------
% 1.94/0.56 % (3642962)------------------------------
% 1.94/0.56 % (3642963)% WARNING: option uhcvi not known.
% 1.94/0.56 % (3642966)dis+10_1_sil=32000:sp=arity:random_seed=1005398260:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.94/0.56 % (3642967)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1554862082:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.94/0.56 % (3642963)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3232833094:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.94/0.56 % (3642965)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1858713329:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.94/0.56 % (3642969)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=901358294:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.94/0.56 % (3642968)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1005477412:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.94/0.56 % (3642975)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2064737455:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.94/0.56 % (3642975)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.94/0.56 % (3642975)Terminated due to inappropriate strategy.
% 1.94/0.56 % (3642975)------------------------------
% 1.94/0.56 % (3642975)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.56 % (3642975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.56 % (3642975)CaDiCaL version: 2.1.3
% 1.94/0.56 % (3642975)Termination reason: Inappropriate
% 1.94/0.56 % (3642975)Time elapsed: 0.0000 s
% 1.94/0.56 % (3642975)Peak memory usage: 10 MB
% 1.94/0.56 % (3642975)Instructions burned: 1 (million)
% 1.94/0.56 % (3642975)------------------------------
% 1.94/0.56 % (3642975)------------------------------
% 1.94/0.56 % (3642986)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1940112616:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.94/0.56 % (3642986)Instruction limit reached!
% 1.94/0.56 % (3642986)------------------------------
% 1.94/0.56 % (3642986)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.56 % (3642986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.56 % (3642986)CaDiCaL version: 2.1.3
% 1.94/0.56 % (3642986)Termination reason: Instruction limit
% 1.94/0.56 % (3642986)Termination phase: Saturation
% 1.94/0.56 % (3642986)Time elapsed: 0.051 s
% 1.94/0.56 % (3642986)Peak memory usage: 13 MB
% 1.94/0.56 % (3642986)Instructions burned: 131 (million)
% 1.94/0.56 % (3642966)Instruction limit reached!
% 1.94/0.56 % (3642966)------------------------------
% 1.94/0.56 % (3642966)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.56 % (3642966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.56 % (3642966)CaDiCaL version: 2.1.3
% 1.94/0.56 % (3642966)Termination reason: Instruction limit
% 1.94/0.56 % (3642966)Termination phase: Saturation
% 1.94/0.56 % (3642966)Time elapsed: 0.070 s
% 1.94/0.56 % (3642966)Peak memory usage: 13 MB
% 1.94/0.56 % (3642966)Instructions burned: 103 (million)
% 1.94/0.56 % (3642967)Instruction limit reached!
% 1.94/0.56 % (3642967)------------------------------
% 1.94/0.56 % (3642967)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.56 % (3642967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.56 % (3642967)CaDiCaL version: 2.1.3
% 1.94/0.56 % (3642967)Termination reason: Instruction limit
% 1.94/0.56 % (3642967)Termination phase: Saturation
% 1.94/0.56 % (3642967)Time elapsed: 0.073 s
% 1.94/0.56 % (3642967)Peak memory usage: 12 MB
% 1.94/0.56 % (3642967)Instructions burned: 116 (million)
% 1.94/0.56 % (3643010)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=1614963232:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.94/0.56 % (3643012)ott-21_1_sil=16000:fs=off:random_seed=1454687836:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.94/0.56 % (3642968)Instruction limit reached!
% 1.94/0.56 % (3642968)------------------------------
% 1.94/0.56 % (3642968)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.56 % (3642968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.56 % (3642968)CaDiCaL version: 2.1.3
% 1.94/0.56 % (3642968)Termination reason: Instruction limit
% 1.94/0.56 % (3642968)Termination phase: Saturation
% 1.94/0.56 % (3642968)Time elapsed: 0.091 s
% 1.94/0.56 % (3642968)Peak memory usage: 13 MB
% 1.94/0.56 % (3642968)Instructions burned: 132 (million)
% 1.94/0.56 % (3643014)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3477141587:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 1.94/0.56 % (3642969)Instruction limit reached!
% 1.94/0.56 % (3642969)------------------------------
% 1.94/0.56 % (3642969)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.56 % (3642969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.56 % (3642969)CaDiCaL version: 2.1.3
% 1.94/0.56 % (3642969)Termination reason: Instruction limit
% 1.94/0.56 % (3642969)Termination phase: Saturation
% 1.94/0.56 % (3642969)Time elapsed: 0.109 s
% 1.94/0.56 % (3642969)Peak memory usage: 14 MB
% 1.94/0.56 % (3642969)Instructions burned: 159 (million)
% 1.94/0.56 % (3643025)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1303815854:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 1.94/0.56 % (3643025)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.94/0.56 % (3643025)Terminated due to inappropriate strategy.
% 1.94/0.56 % (3643025)------------------------------
% 1.94/0.56 % (3643025)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.56 % (3643025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.56 % (3643025)CaDiCaL version: 2.1.3
% 1.94/0.56 % (3643025)Termination reason: Inappropriate
% 1.94/0.56 % (3643025)Time elapsed: 0.001 s
% 1.94/0.56 % (3643025)Peak memory usage: 10 MB
% 1.94/0.56 % (3643025)Instructions burned: 1 (million)
% 1.94/0.56 % (3643025)------------------------------
% 1.94/0.56 % (3643025)------------------------------
% 1.94/0.56 % (3643038)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=4164840110:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 1.94/0.56 % (3643040)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1495561109:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 1.94/0.56 % (3643040)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.94/0.56 % (3643040)Terminated due to inappropriate strategy.
% 1.94/0.56 % (3643040)------------------------------
% 1.94/0.56 % (3643040)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.56 % (3643040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.56 % (3643040)CaDiCaL version: 2.1.3
% 1.94/0.56 % (3643040)Termination reason: Inappropriate
% 1.94/0.56 % (3643040)Time elapsed: 0.001 s
% 1.94/0.56 % (3643040)Peak memory usage: 10 MB
% 1.94/0.56 % (3643040)Instructions burned: 1 (million)
% 1.94/0.56 % (3643040)------------------------------
% 1.94/0.56 % (3643040)------------------------------
% 1.94/0.56 % (3643049)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=841100125: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)
% 1.94/0.56 % (3643012)Instruction limit reached!
% 1.94/0.56 % (3643012)------------------------------
% 1.94/0.56 % (3643012)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.56 % (3643012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.56 % (3643012)CaDiCaL version: 2.1.3
% 1.94/0.56 % (3643012)Termination reason: Instruction limit
% 1.94/0.56 % (3643012)Termination phase: Saturation
% 1.94/0.56 % (3643012)Time elapsed: 0.080 s
% 1.94/0.56 % (3643012)Peak memory usage: 12 MB
% 1.94/0.56 % (3643012)Instructions burned: 182 (million)
% 1.94/0.56 % (3643058)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1345783132:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 1.94/0.56 % (3643010)Instruction limit reached!
% 1.94/0.56 % (3643010)------------------------------
% 1.94/0.56 % (3643010)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.56 % (3643010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.56 % (3643010)CaDiCaL version: 2.1.3
% 1.94/0.56 % (3643010)Termination reason: Instruction limit
% 1.94/0.56 % (3643010)Termination phase: Saturation
% 1.94/0.56 % (3643010)Time elapsed: 0.213 s
% 1.94/0.56 % (3643010)Peak memory usage: 17 MB
% 1.94/0.56 % (3643010)Instructions burned: 686 (million)
% 1.94/0.56 % (3643038) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3642953-3643038"...
% 1.94/0.56 % (3643090)fmb+10_1_sil=64000:random_seed=3030798420:i=22061:nm=2:gsp=on_2996 on theBenchmark for (2996ds/22061Mi)
% 1.94/0.56 % (3643090)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.94/0.56 % (3643090)Terminated due to inappropriate strategy.
% 1.94/0.56 % (3643090)------------------------------
% 1.94/0.56 % (3643090)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.56 % (3643090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.56 % (3643090)CaDiCaL version: 2.1.3
% 1.94/0.56 % (3643090)Termination reason: Inappropriate
% 1.94/0.56 % (3643090)Time elapsed: 0.0000 s
% 1.94/0.56 % (3643090)Peak memory usage: 10 MB
% 1.94/0.56 % (3643090)Instructions burned: 1 (million)
% 1.94/0.56 % (3643090)------------------------------
% 1.94/0.56 % (3643090)------------------------------
% 1.94/0.56 % (3643038)...printing done.
% 1.94/0.56 % (3643038)Refutation found. Thanks to Tanya!
% 1.94/0.56 % SZS status Unsatisfiable for theBenchmark
% 1.94/0.56 % SZS output start Proof for theBenchmark
% 1.94/0.56 tff(type_def_5, type, 'Set': $tType).
% 1.94/0.56 tff(type_def_6, type, 'Array[Int,Int]': $tType).
% 1.94/0.56 tff(func_def_0, type, sup: 'Set' > $int).
% 1.94/0.56 tff(func_def_1, type, i3: $int).
% 1.94/0.56 tff(func_def_2, type, i2: $int).
% 1.94/0.56 tff(func_def_3, type, arr: 'Array[Int,Int]').
% 1.94/0.56 tff(func_def_4, type, s1: 'Set').
% 1.94/0.56 tff(func_def_5, type, i4: $int).
% 1.94/0.56 tff(func_def_6, type, i1: $int).
% 1.94/0.56 tff(func_def_7, type, delete: ('Set' * $int) > 'Set').
% 1.94/0.56 tff(func_def_8, type, 'store:(Array[Int,Int]*Int*Int)>Array[Int,Int]': ('Array[Int,Int]' * $int * $int) > 'Array[Int,Int]').
% 1.94/0.56 tff(func_def_9, type, s4: 'Set').
% 1.94/0.56 tff(func_def_10, type, 'const:(Int)>Array[Int,Int]': $int > 'Array[Int,Int]').
% 1.94/0.56 tff(func_def_11, type, g: $int > $int).
% 1.94/0.56 tff(func_def_12, type, s2: 'Set').
% 1.94/0.56 tff(func_def_13, type, s0: 'Set').
% 1.94/0.56 tff(func_def_14, type, s3: 'Set').
% 1.94/0.56 tff(func_def_15, type, 'select:(Array[Int,Int]*Int)>Int': ('Array[Int,Int]' * $int) > $int).
% 1.94/0.56 tff(func_def_16, type, insert: ('Set' * $int) > 'Set').
% 1.94/0.56 tff(func_def_21, type, sK0: ('Array[Int,Int]' * 'Array[Int,Int]') > $int).
% 1.94/0.56 tff(pred_def_1, type, member: ($int * 'Set') > $o).
% 1.94/0.56 tff(f1,axiom,(
% 1.94/0.56 ! [X0 : $int,X1 : 'Set'] : member(X0,insert(X1,X0))),
% 1.94/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_1)).
% 1.94/0.56 tff(f2,axiom,(
% 1.94/0.56 ! [X0 : $int,X1 : $int,X2 : 'Set'] : (X0 != X1 => (member(X0,insert(X2,X1)) <=> member(X0,X2)))),
% 1.94/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_2)).
% 1.94/0.56 tff(f6,axiom,(
% 1.94/0.56 ! [X0 : 'Set'] : member(sup(X0),X0)),
% 1.94/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_6)).
% 1.94/0.56 tff(f7,axiom,(
% 1.94/0.56 ! [X0 : 'Set',X1 : $int] : (member(X1,X0) => $lesseq(X1,sup(X0)))),
% 1.94/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_7)).
% 1.94/0.56 tff(f9,axiom,(
% 1.94/0.56 ! [X0 : $int] : ($greater(X0,0) => $less('select:(Array[Int,Int]*Int)>Int'(arr,X0),sup(s0)))),
% 1.94/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_9)).
% 1.94/0.56 tff(f10,axiom,(
% 1.94/0.56 ! [X0 : $int] : $greater(g(X0),0)),
% 1.94/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_10)).
% 1.94/0.56 tff(f11,axiom,(
% 1.94/0.56 ($greater(i1,0) => s1 = insert(s0,'select:(Array[Int,Int]*Int)>Int'(arr,i1))) & (~$greater(i1,0) => s1 = s0)),
% 1.94/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_11)).
% 1.94/0.56 tff(f12,axiom,(
% 1.94/0.56 s2 = insert(s1,'select:(Array[Int,Int]*Int)>Int'(arr,g(i2)))),
% 1.94/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_12)).
% 1.94/0.56 tff(f13,axiom,(
% 1.94/0.56 s3 = insert(s2,'select:(Array[Int,Int]*Int)>Int'(arr,g(i3)))),
% 1.94/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_13)).
% 1.94/0.56 tff(f15,axiom,(
% 1.94/0.56 sup(s3) != sup(s0)),
% 1.94/0.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_15)).
% 1.94/0.56 tff(f20,plain,(
% 1.94/0.56 ! [X0 : 'Set',X1 : $int] : (member(X1,X0) => ~$less(sup(X0),X1))),
% 1.94/0.56 inference(theory_normalization,[],[f7])).
% 1.94/0.56 tff(f21,plain,(
% 1.94/0.56 ! [X0 : $int] : ($less(0,X0) => $less('select:(Array[Int,Int]*Int)>Int'(arr,X0),sup(s0)))),
% 1.94/0.56 inference(theory_normalization,[],[f9])).
% 1.94/0.56 tff(f22,plain,(
% 1.94/0.56 ! [X0 : $int] : $less(0,g(X0))),
% 1.94/0.56 inference(theory_normalization,[],[f10])).
% 1.94/0.56 tff(f23,plain,(
% 1.94/0.56 ($less(0,i1) => s1 = insert(s0,'select:(Array[Int,Int]*Int)>Int'(arr,i1))) & (~$less(0,i1) => s1 = s0)),
% 1.94/0.56 inference(theory_normalization,[],[f11])).
% 1.94/0.56 tff(f24,definition,(
% 1.94/0.56 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 1.94/0.56 introduced(theory,[tha_commutativity])).
% 1.94/0.56 tff(f29,definition,(
% 1.94/0.56 ( ! [X0 : $int] : (~$less(X0,X0)) )),
% 1.94/0.56 introduced(theory,[tha_non-reflexivity])).
% 1.94/0.56 tff(f31,definition,(
% 1.94/0.56 ( ! [X0 : $int,X1 : $int] : ($less(X1,X0) | $less(X0,X1) | X0 = X1) )),
% 1.94/0.56 introduced(theory,[tha_order_totality])).
% 1.94/0.56 tff(f33,definition,(
% 1.94/0.56 ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,$sum(X0,1))) )),
% 1.94/0.56 introduced(theory,[tha_order_plus_one_dichotomy])).
% 1.94/0.56 tff(f35,definition,(
% 1.94/0.56 ( ! [X0 : $int,X1 : $int] : (~$less(X1,$sum(X0,1)) | ~$less(X0,X1)) )),
% 1.94/0.56 introduced(theory,[tha_extra_integer_ordering])).
% 1.94/0.56 tff(f36,plain,(
% 1.94/0.56 ! [X0 : $int,X1 : $int,X2 : 'Set'] : ((member(X0,insert(X2,X1)) <=> member(X0,X2)) | X0 = X1)),
% 1.94/0.56 inference(ennf_transformation,[],[f2])).
% 1.94/0.56 tff(f39,plain,(
% 1.94/0.56 ! [X0 : 'Set',X1 : $int] : (~$less(sup(X0),X1) | ~member(X1,X0))),
% 1.94/0.56 inference(ennf_transformation,[],[f20])).
% 1.94/0.56 tff(f41,plain,(
% 1.94/0.56 ! [X0 : $int] : ($less('select:(Array[Int,Int]*Int)>Int'(arr,X0),sup(s0)) | ~$less(0,X0))),
% 1.94/0.56 inference(ennf_transformation,[],[f21])).
% 1.94/0.56 tff(f42,plain,(
% 1.94/0.56 (s1 = insert(s0,'select:(Array[Int,Int]*Int)>Int'(arr,i1)) | ~$less(0,i1)) & (s1 = s0 | $less(0,i1))),
% 1.94/0.56 inference(ennf_transformation,[],[f23])).
% 1.94/0.56 tff(f45,plain,(
% 1.94/0.56 ! [X0 : $int,X1 : $int,X2 : 'Set'] : (((member(X0,insert(X2,X1)) | ~member(X0,X2)) & (member(X0,X2) | ~member(X0,insert(X2,X1)))) | X0 = X1)),
% 1.94/0.56 inference(nnf_transformation,[],[f36])).
% 1.94/0.56 tff(f47,plain,(
% 1.94/0.56 ( ! [X0 : $int,X1 : 'Set'] : (member(X0,insert(X1,X0))) )),
% 1.94/0.56 inference(cnf_transformation,[],[f1])).
% 1.94/0.56 tff(f48,plain,(
% 1.94/0.56 ( ! [X2 : 'Set',X0 : $int,X1 : $int] : (~member(X0,insert(X2,X1)) | member(X0,X2) | X0 = X1) )),
% 1.94/0.56 inference(cnf_transformation,[],[f45])).
% 1.94/0.56 tff(f49,plain,(
% 1.94/0.56 ( ! [X2 : 'Set',X0 : $int,X1 : $int] : (member(X0,insert(X2,X1)) | ~member(X0,X2) | X0 = X1) )),
% 1.94/0.56 inference(cnf_transformation,[],[f45])).
% 1.94/0.56 tff(f53,plain,(
% 1.94/0.56 ( ! [X0 : 'Set'] : (member(sup(X0),X0)) )),
% 1.94/0.56 inference(cnf_transformation,[],[f6])).
% 1.94/0.56 tff(f54,plain,(
% 1.94/0.56 ( ! [X0 : 'Set',X1 : $int] : (~$less(sup(X0),X1) | ~member(X1,X0)) )),
% 1.94/0.56 inference(cnf_transformation,[],[f39])).
% 1.94/0.56 tff(f56,plain,(
% 1.94/0.56 ( ! [X0 : $int] : ($less('select:(Array[Int,Int]*Int)>Int'(arr,X0),sup(s0)) | ~$less(0,X0)) )),
% 1.94/0.56 inference(cnf_transformation,[],[f41])).
% 1.94/0.56 tff(f57,plain,(
% 1.94/0.56 ( ! [X0 : $int] : ($less(0,g(X0))) )),
% 1.94/0.56 inference(cnf_transformation,[],[f22])).
% 1.94/0.56 tff(f58,plain,(
% 1.94/0.56 s0 = s1 | $less(0,i1)),
% 1.94/0.56 inference(cnf_transformation,[],[f42])).
% 1.94/0.56 tff(f59,plain,(
% 1.94/0.56 s1 = insert(s0,'select:(Array[Int,Int]*Int)>Int'(arr,i1)) | ~$less(0,i1)),
% 1.94/0.56 inference(cnf_transformation,[],[f42])).
% 1.94/0.56 tff(f60,plain,(
% 1.94/0.56 s2 = insert(s1,'select:(Array[Int,Int]*Int)>Int'(arr,g(i2)))),
% 1.94/0.56 inference(cnf_transformation,[],[f12])).
% 1.94/0.56 tff(f61,plain,(
% 1.94/0.56 s3 = insert(s2,'select:(Array[Int,Int]*Int)>Int'(arr,g(i3)))),
% 1.94/0.56 inference(cnf_transformation,[],[f13])).
% 1.94/0.56 tff(f63,plain,(
% 1.94/0.56 sup(s0) != sup(s3)),
% 1.94/0.56 inference(cnf_transformation,[],[f15])).
% 1.94/0.56 tff(f69,definition,(
% 1.94/0.56 spl1_1 <=> $less(0,i1)),
% 1.94/0.56 introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition])).
% 1.94/0.56 tff(f71,plain,(
% 1.94/0.56 $less(0,i1) | ~spl1_1),
% 1.94/0.56 inference(avatar_component_clause,[],[f69])).
% 1.94/0.56 tff(f73,definition,(
% 1.94/0.56 spl1_2 <=> s0 = s1),
% 1.94/0.56 introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition])).
% 1.94/0.56 tff(f75,plain,(
% 1.94/0.56 s0 = s1 | ~spl1_2),
% 1.94/0.56 inference(avatar_component_clause,[],[f73])).
% 1.94/0.56 tff(f76,plain,(
% 1.94/0.56 spl1_1 | spl1_2),
% 1.94/0.56 inference(avatar_split_clause,[],[f58,f73,f69])).
% 1.94/0.56 tff(f78,definition,(
% 1.94/0.56 spl1_3 <=> s1 = insert(s0,'select:(Array[Int,Int]*Int)>Int'(arr,i1))),
% 1.94/0.56 introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition])).
% 1.94/0.56 tff(f80,plain,(
% 1.94/0.56 s1 = insert(s0,'select:(Array[Int,Int]*Int)>Int'(arr,i1)) | ~spl1_3),
% 1.94/0.56 inference(avatar_component_clause,[],[f78])).
% 1.94/0.56 tff(f81,plain,(
% 1.94/0.56 ~spl1_1 | spl1_3),
% 1.94/0.56 inference(avatar_split_clause,[],[f59,f78,f69])).
% 1.94/0.56 tff(f88,plain,(
% 1.94/0.56 ( ! [X0 : 'Set',X1 : $int] : ($less(X1,$sum(sup(X0),1)) | ~member(X1,X0)) )),
% 1.94/0.56 inference(resolution,[],[f33,f54])).
% 1.94/0.56 tff(f93,plain,(
% 1.94/0.56 ( ! [X0 : 'Set',X1 : $int] : (~member(X1,X0) | $less(X1,$sum(1,sup(X0)))) )),
% 1.94/0.56 inference(forward_demodulation,[],[f88,f24])).
% 1.94/0.56 tff(f102,plain,(
% 1.94/0.56 ( ! [X0 : $int,X1 : $int] : (~$less(X1,$sum(1,X0)) | ~$less(X0,X1)) )),
% 1.94/0.56 inference(superposition,[],[f35,f24])).
% 1.94/0.56 tff(f110,plain,(
% 1.94/0.56 member('select:(Array[Int,Int]*Int)>Int'(arr,g(i2)),s2)),
% 1.94/0.56 inference(superposition,[],[f47,f60])).
% 1.94/0.56 tff(f111,plain,(
% 1.94/0.56 member('select:(Array[Int,Int]*Int)>Int'(arr,g(i3)),s3)),
% 1.94/0.56 inference(superposition,[],[f47,f61])).
% 1.94/0.56 tff(f139,plain,(
% 1.94/0.56 ( ! [X0 : 'Set',X1 : $int] : (~member(X1,X0) | sup(X0) = X1 | $less(X1,sup(X0))) )),
% 1.94/0.56 inference(resolution,[],[f31,f54])).
% 1.94/0.56 tff(f227,plain,(
% 1.94/0.56 ( ! [X0 : 'Set',X1 : $int] : (member(sup(insert(X0,X1)),X0) | sup(insert(X0,X1)) = X1) )),
% 1.94/0.56 inference(resolution,[],[f48,f53])).
% 1.94/0.56 tff(f239,plain,(
% 1.94/0.56 ( ! [X0 : $int] : (~member(X0,s1) | member(X0,s2) | 'select:(Array[Int,Int]*Int)>Int'(arr,g(i2)) = X0) )),
% 1.94/0.56 inference(superposition,[],[f49,f60])).
% 1.94/0.56 tff(f240,plain,(
% 1.94/0.56 ( ! [X0 : $int] : (~member(X0,s2) | member(X0,s3) | 'select:(Array[Int,Int]*Int)>Int'(arr,g(i3)) = X0) )),
% 1.94/0.56 inference(superposition,[],[f49,f61])).
% 1.94/0.56 tff(f358,plain,(
% 1.94/0.56 $less('select:(Array[Int,Int]*Int)>Int'(arr,g(i2)),$sum(1,sup(s2)))),
% 1.94/0.56 inference(resolution,[],[f93,f110])).
% 1.94/0.56 tff(f700,definition,(
% 1.94/0.56 spl1_7 <=> 'select:(Array[Int,Int]*Int)>Int'(arr,g(i3)) = sup(s3)),
% 1.94/0.56 introduced(definition,[new_symbols(definition,[spl1_7])],[avatar_definition])).
% 1.94/0.56 tff(f702,plain,(
% 1.94/0.56 'select:(Array[Int,Int]*Int)>Int'(arr,g(i3)) = sup(s3) | ~spl1_7),
% 1.94/0.56 inference(avatar_component_clause,[],[f700])).
% 1.94/0.56 tff(f709,definition,(
% 1.94/0.56 spl1_9 <=> 'select:(Array[Int,Int]*Int)>Int'(arr,g(i2)) = sup(s2)),
% 1.94/0.56 introduced(definition,[new_symbols(definition,[spl1_9])],[avatar_definition])).
% 1.94/0.56 tff(f711,plain,(
% 1.94/0.56 'select:(Array[Int,Int]*Int)>Int'(arr,g(i2)) = sup(s2) | ~spl1_9),
% 1.94/0.56 inference(avatar_component_clause,[],[f709])).
% 1.94/0.56 tff(f1186,definition,(
% 1.94/0.56 spl1_15 <=> 'select:(Array[Int,Int]*Int)>Int'(arr,i1) = sup(s1)),
% 1.94/0.56 introduced(definition,[new_symbols(definition,[spl1_15])],[avatar_definition])).
% 1.94/0.56 tff(f1188,plain,(
% 1.94/0.56 'select:(Array[Int,Int]*Int)>Int'(arr,i1) = sup(s1) | ~spl1_15),
% 1.94/0.56 inference(avatar_component_clause,[],[f1186])).
% 1.94/0.56 tff(f1384,plain,(
% 1.94/0.56 member(sup(s2),s1) | 'select:(Array[Int,Int]*Int)>Int'(arr,g(i2)) = sup(s2)),
% 1.94/0.56 inference(superposition,[],[f227,f60])).
% 1.94/0.56 tff(f1385,plain,(
% 1.94/0.56 member(sup(s3),s2) | 'select:(Array[Int,Int]*Int)>Int'(arr,g(i3)) = sup(s3)),
% 1.94/0.56 inference(superposition,[],[f227,f61])).
% 1.94/0.56 tff(f1394,definition,(
% 1.94/0.56 spl1_21 <=> member(sup(s3),s2)),
% 1.94/0.56 introduced(definition,[new_symbols(definition,[spl1_21])],[avatar_definition])).
% 1.94/0.56 tff(f1396,plain,(
% 1.94/0.56 member(sup(s3),s2) | ~spl1_21),
% 1.94/0.56 inference(avatar_component_clause,[],[f1394])).
% 1.94/0.56 tff(f1397,plain,(
% 1.94/0.56 spl1_7 | spl1_21),
% 1.94/0.56 inference(avatar_split_clause,[],[f1385,f1394,f700])).
% 1.94/0.56 tff(f1399,definition,(
% 1.94/0.56 spl1_22 <=> member(sup(s2),s1)),
% 1.94/0.56 introduced(definition,[new_symbols(definition,[spl1_22])],[avatar_definition])).
% 1.94/0.56 tff(f1401,plain,(
% 1.94/0.56 member(sup(s2),s1) | ~spl1_22),
% 1.94/0.56 inference(avatar_component_clause,[],[f1399])).
% 1.94/0.56 tff(f1402,plain,(
% 1.94/0.56 spl1_9 | spl1_22),
% 1.94/0.56 inference(avatar_split_clause,[],[f1384,f1399,f709])).
% 1.94/0.56 tff(f1403,plain,(
% 1.94/0.56 sup(s1) = sup(s2) | $less(sup(s2),sup(s1)) | ~spl1_22),
% 1.94/0.56 inference(resolution,[],[f1401,f139])).
% 1.94/0.56 tff(f1419,definition,(
% 1.94/0.56 spl1_25 <=> $less(sup(s2),sup(s1))),
% 1.94/0.56 introduced(definition,[new_symbols(definition,[spl1_25])],[avatar_definition])).
% 1.94/0.56 tff(f1420,plain,(
% 1.94/0.56 ~$less(sup(s2),sup(s1)) | spl1_25),
% 1.94/0.56 inference(avatar_component_clause,[],[f1419])).
% 1.94/0.56 tff(f1421,plain,(
% 1.94/0.56 $less(sup(s2),sup(s1)) | ~spl1_25),
% 1.94/0.56 inference(avatar_component_clause,[],[f1419])).
% 1.94/0.56 tff(f1423,definition,(
% 1.94/0.56 spl1_26 <=> sup(s1) = sup(s2)),
% 1.94/0.56 introduced(definition,[new_symbols(definition,[spl1_26])],[avatar_definition])).
% 1.94/0.56 tff(f1425,plain,(
% 1.94/0.56 sup(s1) = sup(s2) | ~spl1_26),
% 1.94/0.56 inference(avatar_component_clause,[],[f1423])).
% 1.94/0.56 tff(f1426,plain,(
% 1.94/0.56 spl1_25 | spl1_26 | ~spl1_22),
% 1.94/0.56 inference(avatar_split_clause,[],[f1403,f1399,f1423,f1419])).
% 1.94/0.56 tff(f1454,plain,(
% 1.94/0.56 member(sup(s1),s2) | 'select:(Array[Int,Int]*Int)>Int'(arr,g(i2)) = sup(s1)),
% 1.94/0.56 inference(resolution,[],[f239,f53])).
% 1.94/0.56 tff(f1461,definition,(
% 1.94/0.56 spl1_27 <=> member(sup(s1),s2)),
% 1.94/0.56 introduced(definition,[new_symbols(definition,[spl1_27])],[avatar_definition])).
% 1.94/0.56 tff(f1466,definition,(
% 1.94/0.56 spl1_28 <=> 'select:(Array[Int,Int]*Int)>Int'(arr,g(i2)) = sup(s1)),
% 1.94/0.56 introduced(definition,[new_symbols(definition,[spl1_28])],[avatar_definition])).
% 1.94/0.56 tff(f1468,plain,(
% 1.94/0.56 'select:(Array[Int,Int]*Int)>Int'(arr,g(i2)) = sup(s1) | ~spl1_28),
% 1.94/0.56 inference(avatar_component_clause,[],[f1466])).
% 1.94/0.56 tff(f1469,plain,(
% 1.94/0.56 spl1_28 | spl1_27),
% 1.94/0.56 inference(avatar_split_clause,[],[f1454,f1461,f1466])).
% 1.94/0.56 tff(f1473,plain,(
% 1.94/0.56 member(sup(s2),s3) | 'select:(Array[Int,Int]*Int)>Int'(arr,g(i3)) = sup(s2)),
% 1.94/0.56 inference(resolution,[],[f240,f53])).
% 1.94/0.56 tff(f1480,plain,(
% 1.94/0.56 sup(s3) = sup(s2) | member(sup(s2),s3) | ~spl1_7),
% 1.94/0.56 inference(forward_demodulation,[],[f1473,f702])).
% 1.94/0.56 tff(f1491,definition,(
% 1.94/0.56 spl1_31 <=> member(sup(s2),s3)),
% 1.94/0.56 introduced(definition,[new_symbols(definition,[spl1_31])],[avatar_definition])).
% 1.94/0.56 tff(f1492,plain,(
% 1.94/0.56 ~member(sup(s2),s3) | spl1_31),
% 1.94/0.56 inference(avatar_component_clause,[],[f1491])).
% 1.94/0.56 tff(f1493,plain,(
% 1.94/0.56 member(sup(s2),s3) | ~spl1_31),
% 1.94/0.56 inference(avatar_component_clause,[],[f1491])).
% 1.94/0.56 tff(f1495,definition,(
% 1.94/0.56 spl1_32 <=> sup(s3) = sup(s2)),
% 1.94/0.56 introduced(definition,[new_symbols(definition,[spl1_32])],[avatar_definition])).
% 1.94/0.56 tff(f1497,plain,(
% 1.94/0.56 sup(s3) = sup(s2) | ~spl1_32),
% 1.94/0.56 inference(avatar_component_clause,[],[f1495])).
% 1.94/0.56 tff(f1498,plain,(
% 1.94/0.56 spl1_31 | spl1_32 | ~spl1_7),
% 1.94/0.56 inference(avatar_split_clause,[],[f1480,f700,f1495,f1491])).
% 1.94/0.56 tff(f1505,definition,(
% 1.94/0.56 spl1_34 <=> 'select:(Array[Int,Int]*Int)>Int'(arr,g(i3)) = sup(s2)),
% 1.94/0.56 introduced(definition,[new_symbols(definition,[spl1_34])],[avatar_definition])).
% 1.94/0.56 tff(f1507,plain,(
% 1.94/0.56 'select:(Array[Int,Int]*Int)>Int'(arr,g(i3)) = sup(s2) | ~spl1_34),
% 1.94/0.56 inference(avatar_component_clause,[],[f1505])).
% 1.94/0.56 tff(f1508,plain,(
% 1.94/0.56 spl1_34 | spl1_31),
% 1.94/0.56 inference(avatar_split_clause,[],[f1473,f1491,f1505])).
% 1.94/0.56 tff(f1511,plain,(
% 1.94/0.56 sup(s3) = sup(s2) | $less(sup(s3),sup(s2)) | ~spl1_21),
% 1.94/0.56 inference(resolution,[],[f1396,f139])).
% 1.94/0.56 tff(f1514,definition,(
% 1.94/0.56 spl1_35 <=> $less(sup(s3),sup(s2))),
% 1.94/0.56 introduced(definition,[new_symbols(definition,[spl1_35])],[avatar_definition])).
% 1.94/0.56 tff(f1515,plain,(
% 1.94/0.56 ~$less(sup(s3),sup(s2)) | spl1_35),
% 1.94/0.56 inference(avatar_component_clause,[],[f1514])).
% 1.94/0.56 tff(f1516,plain,(
% 1.94/0.56 $less(sup(s3),sup(s2)) | ~spl1_35),
% 1.94/0.56 inference(avatar_component_clause,[],[f1514])).
% 1.94/0.56 tff(f1517,plain,(
% 1.94/0.56 spl1_35 | spl1_32 | ~spl1_21),
% 1.94/0.56 inference(avatar_split_clause,[],[f1511,f1394,f1495,f1514])).
% 1.94/0.56 tff(f2064,plain,(
% 1.94/0.56 sup(s0) != sup(s2) | ~spl1_32),
% 1.94/0.56 inference(superposition,[],[f63,f1497])).
% 1.94/0.56 tff(f2078,plain,(
% 1.94/0.56 sup(s0) != sup(s1) | (~spl1_26 | ~spl1_32)),
% 1.94/0.56 inference(forward_demodulation,[],[f2064,f1425])).
% 1.94/0.56 tff(f2355,plain,(
% 1.94/0.56 member(sup(s2),s3) | ~spl1_34),
% 1.94/0.56 inference(superposition,[],[f111,f1507])).
% 1.94/0.56 tff(f2363,plain,(
% 1.94/0.56 $false | (spl1_31 | ~spl1_34)),
% 1.94/0.56 inference(forward_subsumption_resolution,[],[f2355,f1492])).
% 1.94/0.56 tff(f2364,plain,(
% 1.94/0.56 spl1_31 | ~spl1_34),
% 1.94/0.56 inference(avatar_contradiction_clause,[],[f2363])).
% 1.94/0.56 tff(f2398,plain,(
% 1.94/0.56 ( ! [X0 : $int] : (~member(X0,s0) | member(X0,s1) | 'select:(Array[Int,Int]*Int)>Int'(arr,i1) = X0) ) | ~spl1_3),
% 1.94/0.56 inference(superposition,[],[f49,f80])).
% 1.94/0.56 tff(f2488,plain,(
% 1.94/0.56 member(sup(s0),s1) | sup(s0) = 'select:(Array[Int,Int]*Int)>Int'(arr,i1) | ~spl1_3),
% 1.94/0.56 inference(resolution,[],[f2398,f53])).
% 1.94/0.56 tff(f2495,definition,(
% 1.94/0.56 spl1_61 <=> member(sup(s0),s1)),
% 1.94/0.56 introduced(definition,[new_symbols(definition,[spl1_61])],[avatar_definition])).
% 1.94/0.56 tff(f2497,plain,(
% 1.94/0.56 member(sup(s0),s1) | ~spl1_61),
% 1.94/0.56 inference(avatar_component_clause,[],[f2495])).
% 1.94/0.56 tff(f2515,definition,(
% 1.94/0.56 spl1_65 <=> sup(s0) = 'select:(Array[Int,Int]*Int)>Int'(arr,i1)),
% 1.94/0.56 introduced(definition,[new_symbols(definition,[spl1_65])],[avatar_definition])).
% 1.94/0.56 tff(f2517,plain,(
% 1.94/0.56 sup(s0) = 'select:(Array[Int,Int]*Int)>Int'(arr,i1) | ~spl1_65),
% 1.94/0.56 inference(avatar_component_clause,[],[f2515])).
% 1.94/0.56 tff(f2518,plain,(
% 1.94/0.56 spl1_65 | spl1_61 | ~spl1_3),
% 1.94/0.56 inference(avatar_split_clause,[],[f2488,f78,f2495,f2515])).
% 1.94/0.56 tff(f2825,plain,(
% 1.94/0.56 $less(sup(s0),sup(s0)) | ~$less(0,i1) | ~spl1_65),
% 1.94/0.56 inference(superposition,[],[f56,f2517])).
% 1.94/0.56 tff(f2839,plain,(
% 1.94/0.56 $less(sup(s2),sup(s0)) | ~$less(0,g(i2)) | ~spl1_9),
% 1.94/0.56 inference(superposition,[],[f56,f711])).
% 1.94/0.56 tff(f2840,plain,(
% 1.94/0.56 $less(sup(s2),sup(s0)) | ~spl1_9),
% 1.94/0.56 inference(forward_subsumption_resolution,[],[f2839,f57])).
% 1.94/0.56 tff(f3473,plain,(
% 1.94/0.56 ~member(sup(s1),s2) | ~spl1_25),
% 1.94/0.56 inference(resolution,[],[f1421,f54])).
% 1.94/0.56 tff(f3504,plain,(
% 1.94/0.56 ~$less(0,i1) | ~spl1_65),
% 1.94/0.56 inference(forward_subsumption_resolution,[],[f2825,f29])).
% 1.94/0.56 tff(f3507,plain,(
% 1.94/0.56 $false | (~spl1_1 | ~spl1_65)),
% 1.94/0.56 inference(forward_subsumption_resolution,[],[f3504,f71])).
% 1.94/0.56 tff(f3508,plain,(
% 1.94/0.56 ~spl1_1 | ~spl1_65),
% 1.94/0.56 inference(avatar_contradiction_clause,[],[f3507])).
% 1.94/0.56 tff(f3522,plain,(
% 1.94/0.56 member(sup(s1),s0) | 'select:(Array[Int,Int]*Int)>Int'(arr,i1) = sup(s1) | ~spl1_3),
% 1.94/0.56 inference(superposition,[],[f227,f80])).
% 1.94/0.56 tff(f3530,definition,(
% 1.94/0.56 spl1_77 <=> member(sup(s1),s0)),
% 1.94/0.56 introduced(definition,[new_symbols(definition,[spl1_77])],[avatar_definition])).
% 1.94/0.56 tff(f3532,plain,(
% 1.94/0.56 member(sup(s1),s0) | ~spl1_77),
% 1.94/0.56 inference(avatar_component_clause,[],[f3530])).
% 1.94/0.56 tff(f3533,plain,(
% 1.94/0.56 spl1_15 | spl1_77 | ~spl1_3),
% 1.94/0.56 inference(avatar_split_clause,[],[f3522,f78,f3530,f1186])).
% 1.94/0.56 tff(f3607,plain,(
% 1.94/0.56 sup(s0) = sup(s1) | $less(sup(s0),sup(s1)) | ~spl1_61),
% 1.94/0.56 inference(resolution,[],[f2497,f139])).
% 1.94/0.56 tff(f3610,definition,(
% 1.94/0.56 spl1_78 <=> $less(sup(s0),sup(s1))),
% 1.94/0.56 introduced(definition,[new_symbols(definition,[spl1_78])],[avatar_definition])).
% 1.94/0.56 tff(f3612,plain,(
% 1.94/0.56 $less(sup(s0),sup(s1)) | ~spl1_78),
% 1.94/0.56 inference(avatar_component_clause,[],[f3610])).
% 1.94/0.56 tff(f3614,definition,(
% 1.94/0.56 spl1_79 <=> sup(s0) = sup(s1)),
% 1.94/0.56 introduced(definition,[new_symbols(definition,[spl1_79])],[avatar_definition])).
% 1.94/0.56 tff(f3615,plain,(
% 1.94/0.56 sup(s0) != sup(s1) | spl1_79),
% 1.94/0.56 inference(avatar_component_clause,[],[f3614])).
% 1.94/0.56 tff(f3616,plain,(
% 1.94/0.56 sup(s0) = sup(s1) | ~spl1_79),
% 1.94/0.56 inference(avatar_component_clause,[],[f3614])).
% 1.94/0.56 tff(f3617,plain,(
% 1.94/0.56 spl1_78 | spl1_79 | ~spl1_61),
% 1.94/0.56 inference(avatar_split_clause,[],[f3607,f2495,f3614,f3610])).
% 1.94/0.56 tff(f3687,plain,(
% 1.94/0.56 ~member(sup(s2),s3) | ~spl1_35),
% 1.94/0.56 inference(resolution,[],[f1516,f54])).
% 1.94/0.56 tff(f3698,plain,(
% 1.94/0.56 $false | (~spl1_31 | ~spl1_35)),
% 1.94/0.56 inference(forward_subsumption_resolution,[],[f3687,f1493])).
% 1.94/0.56 tff(f3699,plain,(
% 1.94/0.56 ~spl1_31 | ~spl1_35),
% 1.94/0.56 inference(avatar_contradiction_clause,[],[f3698])).
% 1.94/0.56 tff(f3733,plain,(
% 1.94/0.56 $false | (~spl1_26 | ~spl1_32 | ~spl1_79)),
% 1.94/0.56 inference(forward_subsumption_resolution,[],[f2078,f3616])).
% 1.94/0.56 tff(f3734,plain,(
% 1.94/0.56 ~spl1_26 | ~spl1_32 | ~spl1_79),
% 1.94/0.56 inference(avatar_contradiction_clause,[],[f3733])).
% 1.94/0.56 tff(f4079,plain,(
% 1.94/0.56 ~$less(sup(s2),'select:(Array[Int,Int]*Int)>Int'(arr,g(i2)))),
% 1.94/0.56 inference(resolution,[],[f358,f102])).
% 1.94/0.56 tff(f4731,plain,(
% 1.94/0.56 ~spl1_27 | ~spl1_25),
% 1.94/0.56 inference(avatar_split_clause,[],[f3473,f1419,f1461])).
% 1.94/0.56 tff(f5222,plain,(
% 1.94/0.56 $less(sup(s1),sup(s0)) | ~$less(0,i1) | ~spl1_15),
% 1.94/0.56 inference(superposition,[],[f56,f1188])).
% 1.94/0.56 tff(f5223,plain,(
% 1.94/0.56 $less(sup(s1),sup(s0)) | (~spl1_1 | ~spl1_15)),
% 1.94/0.56 inference(forward_subsumption_resolution,[],[f5222,f71])).
% 1.94/0.56 tff(f5359,plain,(
% 1.94/0.56 ~member(sup(s1),s0) | ~spl1_78),
% 1.94/0.56 inference(resolution,[],[f3612,f54])).
% 1.94/0.56 tff(f5608,plain,(
% 1.94/0.56 ~member(sup(s0),s1) | (~spl1_1 | ~spl1_15)),
% 1.94/0.56 inference(resolution,[],[f5223,f54])).
% 1.94/0.56 tff(f5617,plain,(
% 1.94/0.56 $false | (~spl1_1 | ~spl1_15 | ~spl1_61)),
% 1.94/0.56 inference(forward_subsumption_resolution,[],[f5608,f2497])).
% 1.94/0.56 tff(f5618,plain,(
% 1.94/0.56 ~spl1_1 | ~spl1_15 | ~spl1_61),
% 1.94/0.56 inference(avatar_contradiction_clause,[],[f5617])).
% 1.94/0.56 tff(f5639,plain,(
% 1.94/0.56 $false | (~spl1_77 | ~spl1_78)),
% 1.94/0.56 inference(forward_subsumption_resolution,[],[f5359,f3532])).
% 1.94/0.56 tff(f5640,plain,(
% 1.94/0.56 ~spl1_77 | ~spl1_78),
% 1.94/0.56 inference(avatar_contradiction_clause,[],[f5639])).
% 1.94/0.56 tff(f5838,plain,(
% 1.94/0.56 ~$less(sup(s2),sup(s1)) | ~spl1_28),
% 1.94/0.56 inference(forward_demodulation,[],[f4079,f1468])).
% 1.94/0.56 tff(f5845,plain,(
% 1.94/0.56 $less(sup(s2),sup(s1)) | (~spl1_9 | ~spl1_79)),
% 1.94/0.56 inference(forward_demodulation,[],[f2840,f3616])).
% 1.94/0.56 tff(f5872,plain,(
% 1.94/0.56 $false | (~spl1_9 | spl1_25 | ~spl1_79)),
% 1.94/0.56 inference(forward_subsumption_resolution,[],[f5845,f1420])).
% 1.94/0.56 tff(f5873,plain,(
% 1.94/0.56 ~spl1_9 | spl1_25 | ~spl1_79),
% 1.94/0.56 inference(avatar_contradiction_clause,[],[f5872])).
% 1.94/0.56 tff(f5909,plain,(
% 1.94/0.56 sup(s1) != sup(s1) | (~spl1_2 | spl1_79)),
% 1.94/0.56 inference(forward_demodulation,[],[f3615,f75])).
% 1.94/0.56 tff(f5910,plain,(
% 1.94/0.56 $false | (~spl1_2 | spl1_79)),
% 1.94/0.56 inference(trivial_inequality_removal,[],[f5909])).
% 1.94/0.56 tff(f5911,plain,(
% 1.94/0.56 ~spl1_2 | spl1_79),
% 1.94/0.56 inference(avatar_contradiction_clause,[],[f5910])).
% 1.94/0.56 tff(f5914,plain,(
% 1.94/0.56 $less(sup(s2),sup(s1)) | (~spl1_2 | ~spl1_9)),
% 1.94/0.56 inference(forward_demodulation,[],[f2840,f75])).
% 1.94/0.56 tff(f5931,plain,(
% 1.94/0.56 $false | (~spl1_2 | ~spl1_9 | spl1_25)),
% 1.94/0.56 inference(forward_subsumption_resolution,[],[f5914,f1420])).
% 1.94/0.56 tff(f5932,plain,(
% 1.94/0.56 ~spl1_2 | ~spl1_9 | spl1_25),
% 1.94/0.56 inference(avatar_contradiction_clause,[],[f5931])).
% 1.94/0.56 tff(f6190,plain,(
% 1.94/0.56 $less(sup(s3),sup(s0)) | ~$less(0,g(i3)) | ~spl1_7),
% 1.94/0.56 inference(superposition,[],[f56,f702])).
% 1.94/0.56 tff(f6191,plain,(
% 1.94/0.56 $less(sup(s3),sup(s0)) | ~spl1_7),
% 1.94/0.56 inference(forward_subsumption_resolution,[],[f6190,f57])).
% 1.94/0.56 tff(f6194,plain,(
% 1.94/0.56 $less(sup(s3),sup(s1)) | (~spl1_7 | ~spl1_79)),
% 1.94/0.56 inference(forward_demodulation,[],[f6191,f3616])).
% 1.94/0.56 tff(f6253,plain,(
% 1.94/0.56 ~$less(sup(s3),sup(s1)) | (~spl1_26 | spl1_35)),
% 1.94/0.56 inference(superposition,[],[f1515,f1425])).
% 1.94/0.56 tff(f6254,plain,(
% 1.94/0.56 $false | (~spl1_7 | ~spl1_26 | spl1_35 | ~spl1_79)),
% 1.94/0.56 inference(forward_subsumption_resolution,[],[f6253,f6194])).
% 1.94/0.56 tff(f6255,plain,(
% 1.94/0.56 ~spl1_7 | ~spl1_26 | spl1_35 | ~spl1_79),
% 1.94/0.56 inference(avatar_contradiction_clause,[],[f6254])).
% 1.94/0.56 tff(f6260,plain,(
% 1.94/0.56 $false | (~spl1_25 | ~spl1_28)),
% 1.94/0.56 inference(forward_subsumption_resolution,[],[f5838,f1421])).
% 1.94/0.56 tff(f6261,plain,(
% 1.94/0.56 ~spl1_25 | ~spl1_28),
% 1.94/0.56 inference(avatar_contradiction_clause,[],[f6260])).
% 1.94/0.56 cnf(s1, plain, spl1_1 | spl1_2, inference(sat_conversion,[],[f76])).
% 1.94/0.56 cnf(s2, plain, ~spl1_1 | spl1_3, inference(sat_conversion,[],[f81])).
% 1.94/0.56 cnf(s15, plain, spl1_7 | spl1_21, inference(sat_conversion,[],[f1397])).
% 1.94/0.56 cnf(s16, plain, spl1_9 | spl1_22, inference(sat_conversion,[],[f1402])).
% 1.94/0.56 cnf(s18, plain, ~spl1_22 | spl1_25 | spl1_26, inference(sat_conversion,[],[f1426])).
% 1.94/0.56 cnf(s20, plain, spl1_27 | spl1_28, inference(sat_conversion,[],[f1469])).
% 1.94/0.56 cnf(s22, plain, ~spl1_7 | spl1_31 | spl1_32, inference(sat_conversion,[],[f1498])).
% 1.94/0.56 cnf(s24, plain, spl1_31 | spl1_34, inference(sat_conversion,[],[f1508])).
% 1.94/0.56 cnf(s25, plain, ~spl1_21 | spl1_32 | spl1_35, inference(sat_conversion,[],[f1517])).
% 1.94/0.56 cnf(s70, plain, spl1_31 | ~spl1_34, inference(sat_conversion,[],[f2364])).
% 1.94/0.56 cnf(s75, plain, ~spl1_3 | spl1_61 | spl1_65, inference(sat_conversion,[],[f2518])).
% 1.94/0.56 cnf(s112, plain, ~spl1_1 | ~spl1_65, inference(sat_conversion,[],[f3508])).
% 1.94/0.56 cnf(s113, plain, ~spl1_3 | spl1_15 | spl1_77, inference(sat_conversion,[],[f3533])).
% 1.94/0.56 cnf(s114, plain, ~spl1_61 | spl1_78 | spl1_79, inference(sat_conversion,[],[f3617])).
% 1.94/0.56 cnf(s118, plain, ~spl1_31 | ~spl1_35, inference(sat_conversion,[],[f3699])).
% 1.94/0.56 cnf(s128, plain, ~spl1_26 | ~spl1_32 | ~spl1_79, inference(sat_conversion,[],[f3734])).
% 1.94/0.56 cnf(s167, plain, ~spl1_25 | ~spl1_27, inference(sat_conversion,[],[f4731])).
% 1.94/0.56 cnf(s206, plain, ~spl1_1 | ~spl1_15 | ~spl1_61, inference(sat_conversion,[],[f5618])).
% 1.94/0.56 cnf(s207, plain, ~spl1_77 | ~spl1_78, inference(sat_conversion,[],[f5640])).
% 1.94/0.56 cnf(s244, plain, ~spl1_9 | spl1_25 | ~spl1_79, inference(sat_conversion,[],[f5873])).
% 1.94/0.56 cnf(s254, plain, ~spl1_2 | spl1_79, inference(sat_conversion,[],[f5911])).
% 1.94/0.56 cnf(s258, plain, ~spl1_2 | ~spl1_9 | spl1_25, inference(sat_conversion,[],[f5932])).
% 1.94/0.56 cnf(s266, plain, ~spl1_7 | ~spl1_26 | spl1_35 | ~spl1_79, inference(sat_conversion,[],[f6255])).
% 1.94/0.56 cnf(s268, plain, ~spl1_25 | ~spl1_28, inference(sat_conversion,[],[f6261])).
% 1.94/0.56 cnf(s273, plain, ~spl1_25, inference(rat,[],[s20,s167,s268])).
% 1.94/0.56 cnf(s274, plain, ~spl1_7 | ~spl1_2, inference(rat,[],[s118,s22,s266,s128,s18,s16,s258,s254,s273])).
% 1.94/0.56 cnf(s275, plain, spl1_31, inference(rat,[],[s24,s70])).
% 1.94/0.56 cnf(s276, plain, ~spl1_35, inference(rat,[],[s118,s275])).
% 1.94/0.56 cnf(s277, plain, ~spl1_2, inference(rat,[],[s128,s18,s25,s16,s15,s258,s274,s254,s273,s276])).
% 1.94/0.56 cnf(s278, plain, spl1_1, inference(rat,[],[s1,s277])).
% 1.94/0.56 cnf(s279, plain, ~spl1_65, inference(rat,[],[s112,s278])).
% 1.94/0.56 cnf(s280, plain, spl1_3, inference(rat,[],[s2,s278])).
% 1.94/0.56 cnf(s281, plain, spl1_61, inference(rat,[],[s75,s279,s280])).
% 1.94/0.56 cnf(s282, plain, ~spl1_15, inference(rat,[],[s206,s278,s281])).
% 1.94/0.56 cnf(s283, plain, spl1_77, inference(rat,[],[s113,s280,s282])).
% 1.94/0.56 cnf(s285, plain, ~spl1_78, inference(rat,[],[s207,s283])).
% 1.94/0.56 cnf(s286, plain, spl1_79, inference(rat,[],[s114,s281,s285])).
% 1.94/0.56 cnf(s287, plain, ~spl1_9, inference(rat,[],[s244,s273,s286])).
% 1.94/0.56 cnf(s288, plain, spl1_22, inference(rat,[],[s16,s287])).
% 1.94/0.56 cnf(s290, plain, spl1_26, inference(rat,[],[s18,s273,s288])).
% 1.94/0.56 cnf(s292, plain, ~spl1_32, inference(rat,[],[s128,s286,s290])).
% 1.94/0.56 cnf(s293, plain, ~spl1_7, inference(rat,[],[s266,s286,s276,s290])).
% 1.94/0.56 cnf(s296, plain, ~spl1_21, inference(rat,[],[s25,s276,s292])).
% 1.94/0.56 cnf(s298, plain, $false, inference(rat,[],[s15,s296,s293])).
% 1.94/0.56 tff(f6287,plain,(
% 1.94/0.56 $false),
% 1.94/0.56 inference(avatar_sat_refutation,[],[s298])).
% 1.94/0.56 % SZS output end Proof for theBenchmark
% 1.94/0.56 % (3643038)------------------------------
% 1.94/0.56 % (3643038)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.56 % (3643038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.56 % (3643038)CaDiCaL version: 2.1.3
% 1.94/0.56 % (3643038)Termination reason: Refutation
% 1.94/0.56 % (3643038)Time elapsed: 0.177 s
% 1.94/0.56 % (3643038)Peak memory usage: 15 MB
% 1.94/0.56 % (3643038)Instructions burned: 262 (million)
% 1.94/0.56 % (3642953)Success in time 0.344 s
% 1.94/0.56 % Vampire exiting
%------------------------------------------------------------------------------