%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : DAT078_1 : TPTP v9.3.1. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n020.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 09:48:05 AM UTC 2026
% Result : Theorem 1.70s 0.50s
% Output : Refutation 1.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : DAT078_1 : TPTP v9.3.1. Released v6.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 % Computer : n020.cluster.edu
% 0.09/0.21 % Model : x86_64 x86_64
% 0.09/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.21 % Memory : 8046.5625MB
% 0.09/0.21 % OS : Linux 6.8.0-71-generic
% 0.09/0.21 % CPULimit : 300
% 0.09/0.21 % WCLimit : 300
% 0.09/0.21 % DateTime : Tue Sep 29 00:08:49 UTC 2026
% 0.09/0.21 % CPUTime :
% 0.09/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 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
% 1.70/0.50 % (700612)Will run a generic schedule for satisfiability detection.
% 1.70/0.50 % (700624)% WARNING: option uhcvi not known.
% 1.70/0.50 % (700624)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=499011113:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.70/0.50 % (700623)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3618039681_2999 on theBenchmark for (2999ds/0Mi)
% 1.70/0.50 % (700625)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3094865546:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.70/0.50 % (700626)dis+10_1_sil=32000:sp=arity:random_seed=275712960:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.70/0.50 % (700629)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3498700218:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.70/0.50 % (700628)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1677355731:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.70/0.50 % (700630)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=420443086:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.70/0.50 % (700623)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.70/0.50 % (700623)Terminated due to inappropriate strategy.
% 1.70/0.50 % (700623)------------------------------
% 1.70/0.50 % (700623)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.70/0.50 % (700623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.70/0.50 % (700623)CaDiCaL version: 2.1.3
% 1.70/0.50 % (700623)Termination reason: Inappropriate
% 1.70/0.50 % (700623)Time elapsed: 0.001 s
% 1.70/0.50 % (700623)Peak memory usage: 10 MB
% 1.70/0.50 % (700623)Instructions burned: 1 (million)
% 1.70/0.50 % (700623)------------------------------
% 1.70/0.50 % (700623)------------------------------
% 1.70/0.50 % (700644)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1681260446:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.70/0.50 % (700644)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.70/0.50 % (700644)Terminated due to inappropriate strategy.
% 1.70/0.50 % (700644)------------------------------
% 1.70/0.50 % (700644)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.70/0.50 % (700644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.70/0.50 % (700644)CaDiCaL version: 2.1.3
% 1.70/0.50 % (700644)Termination reason: Inappropriate
% 1.70/0.50 % (700644)Time elapsed: 0.001 s
% 1.70/0.50 % (700644)Peak memory usage: 10 MB
% 1.70/0.50 % (700644)Instructions burned: 1 (million)
% 1.70/0.50 % (700644)------------------------------
% 1.70/0.50 % (700644)------------------------------
% 1.70/0.50 % (700655)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=628858518:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.70/0.50 % (700626)Instruction limit reached!
% 1.70/0.50 % (700626)------------------------------
% 1.70/0.50 % (700626)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.70/0.50 % (700626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.70/0.50 % (700626)CaDiCaL version: 2.1.3
% 1.70/0.50 % (700626)Termination reason: Instruction limit
% 1.70/0.50 % (700626)Termination phase: Saturation
% 1.70/0.50 % (700626)Time elapsed: 0.065 s
% 1.70/0.50 % (700626)Peak memory usage: 12 MB
% 1.70/0.50 % (700626)Instructions burned: 103 (million)
% 1.70/0.50 % (700628)Instruction limit reached!
% 1.70/0.50 % (700628)------------------------------
% 1.70/0.50 % (700628)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.70/0.50 % (700628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.70/0.50 % (700628)CaDiCaL version: 2.1.3
% 1.70/0.50 % (700628)Termination reason: Instruction limit
% 1.70/0.50 % (700628)Termination phase: Saturation
% 1.70/0.50 % (700628)Time elapsed: 0.070 s
% 1.70/0.50 % (700628)Peak memory usage: 12 MB
% 1.70/0.50 % (700628)Instructions burned: 119 (million)
% 1.70/0.50 % (700668)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=3486085495:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 1.70/0.50 % (700669)ott-21_1_sil=16000:fs=off:random_seed=1773249443:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.70/0.50 % (700629)Instruction limit reached!
% 1.70/0.50 % (700629)------------------------------
% 1.70/0.50 % (700629)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.70/0.50 % (700629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.70/0.50 % (700629)CaDiCaL version: 2.1.3
% 1.70/0.50 % (700629)Termination reason: Instruction limit
% 1.70/0.50 % (700629)Termination phase: Saturation
% 1.70/0.50 % (700629)Time elapsed: 0.095 s
% 1.70/0.50 % (700629)Peak memory usage: 12 MB
% 1.70/0.50 % (700629)Instructions burned: 132 (million)
% 1.70/0.50 % (700630)Instruction limit reached!
% 1.70/0.50 % (700630)------------------------------
% 1.70/0.50 % (700630)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.70/0.50 % (700630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.70/0.50 % (700630)CaDiCaL version: 2.1.3
% 1.70/0.50 % (700630)Termination reason: Instruction limit
% 1.70/0.50 % (700630)Termination phase: Saturation
% 1.70/0.50 % (700630)Time elapsed: 0.104 s
% 1.70/0.50 % (700630)Peak memory usage: 13 MB
% 1.70/0.50 % (700630)Instructions burned: 160 (million)
% 1.70/0.50 % (700677)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2288529430:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 1.70/0.50 % (700680)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2723175244:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 1.70/0.50 % (700680)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.70/0.50 % (700680)Terminated due to inappropriate strategy.
% 1.70/0.50 % (700680)------------------------------
% 1.70/0.50 % (700680)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.70/0.50 % (700680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.70/0.50 % (700680)CaDiCaL version: 2.1.3
% 1.70/0.50 % (700680)Termination reason: Inappropriate
% 1.70/0.50 % (700680)Time elapsed: 0.001 s
% 1.70/0.50 % (700680)Peak memory usage: 10 MB
% 1.70/0.50 % (700680)Instructions burned: 1 (million)
% 1.70/0.50 % (700680)------------------------------
% 1.70/0.50 % (700680)------------------------------
% 1.70/0.50 % (700655)Instruction limit reached!
% 1.70/0.50 % (700655)------------------------------
% 1.70/0.50 % (700655)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.70/0.50 % (700655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.70/0.50 % (700655)CaDiCaL version: 2.1.3
% 1.70/0.50 % (700655)Termination reason: Instruction limit
% 1.70/0.50 % (700655)Termination phase: Saturation
% 1.70/0.50 % (700655)Time elapsed: 0.086 s
% 1.70/0.50 % (700655)Peak memory usage: 13 MB
% 1.70/0.50 % (700655)Instructions burned: 132 (million)
% 1.70/0.50 % (700690)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2660511151:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 1.70/0.50 % (700691)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3925507601:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 1.70/0.50 % (700691)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 1.70/0.50 % (700691)Terminated due to inappropriate strategy.
% 1.70/0.50 % (700691)------------------------------
% 1.70/0.50 % (700691)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.70/0.50 % (700691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.70/0.50 % (700691)CaDiCaL version: 2.1.3
% 1.70/0.50 % (700691)Termination reason: Inappropriate
% 1.70/0.50 % (700691)Time elapsed: 0.001 s
% 1.70/0.50 % (700691)Peak memory usage: 10 MB
% 1.70/0.50 % (700691)Instructions burned: 1 (million)
% 1.70/0.50 % (700691)------------------------------
% 1.70/0.50 % (700691)------------------------------
% 1.70/0.50 % (700697)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=882570930: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)
% 1.70/0.50 % (700669)Instruction limit reached!
% 1.70/0.50 % (700669)------------------------------
% 1.70/0.50 % (700669)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.70/0.50 % (700669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.70/0.50 % (700669)CaDiCaL version: 2.1.3
% 1.70/0.50 % (700669)Termination reason: Instruction limit
% 1.70/0.50 % (700669)Termination phase: Saturation
% 1.70/0.50 % (700669)Time elapsed: 0.082 s
% 1.70/0.50 % (700669)Peak memory usage: 12 MB
% 1.70/0.50 % (700669)Instructions burned: 181 (million)
% 1.70/0.50 % (700708)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=440545890:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 1.70/0.50 % (700690) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-700612-700690"...
% 1.70/0.50 % (700690)...printing done.
% 1.70/0.50 % (700690)Refutation found. Thanks to Tanya!
% 1.70/0.50 % SZS status Theorem for theBenchmark
% 1.70/0.50 % SZS output start Proof for theBenchmark
% 1.70/0.50 tff(type_def_5, type, array: $tType).
% 1.70/0.50 tff(func_def_0, type, read: (array * $int) > $int).
% 1.70/0.50 tff(func_def_1, type, write: (array * $int * $int) > array).
% 1.70/0.50 tff(func_def_2, type, init: $int > array).
% 1.70/0.50 tff(func_def_3, type, max: (array * $int) > $int).
% 1.70/0.50 tff(func_def_5, type, rev: (array * $int) > array).
% 1.70/0.50 tff(func_def_10, type, sK0: (array * array) > $int).
% 1.70/0.50 tff(func_def_11, type, sK1: (array * $int * $int) > $int).
% 1.70/0.50 tff(func_def_12, type, sK2: (array * $int) > $int).
% 1.70/0.50 tff(func_def_13, type, sK3: (array * $int) > $int).
% 1.70/0.50 tff(func_def_14, type, sK4: (array * array * $int) > $int).
% 1.70/0.50 tff(pred_def_4, type, sorted: (array * $int) > $o).
% 1.70/0.50 tff(pred_def_6, type, inRange: (array * $int * $int) > $o).
% 1.70/0.50 tff(pred_def_7, type, distinct: (array * $int) > $o).
% 1.70/0.50 tff(f4,axiom,(
% 1.70/0.50 ! [X0 : $int,X1 : $int] : read(init(X0),X1) = X0),
% 1.70/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3)).
% 1.70/0.50 tff(f6,axiom,(
% 1.70/0.50 ! [X0 : array,X1 : $int] : (sorted(X0,X1) <=> ! [X2 : $int,X3 : $int] : (($lesseq(0,X2) & $less(X2,X1) & $less(X2,X3) & $less(X3,X1)) => $lesseq(read(X0,X2),read(X0,X3))))),
% 1.70/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sorted1)).
% 1.70/0.50 tff(f8,axiom,(
% 1.70/0.50 ! [X0 : array,X1 : $int] : (distinct(X0,X1) <=> ! [X2 : $int,X3 : $int] : (($greater(X1,X2) & $greater(X1,X3) & $greatereq(X3,0) & $greatereq(X2,0)) => (read(X0,X2) = read(X0,X3) => X2 = X3)))),
% 1.70/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distinct)).
% 1.70/0.50 tff(f10,conjecture,(
% 1.70/0.50 ~ ! [X0 : array,X1 : $int] : ((sorted(X0,X1) & $greater(X1,0)) => distinct(X0,X1))),
% 1.70/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c6)).
% 1.70/0.50 tff(f11,negated_conjecture,(
% 1.70/0.50 ~ ~ ! [X0 : array,X1 : $int] : ((sorted(X0,X1) & $greater(X1,0)) => distinct(X0,X1))),
% 1.70/0.50 inference(negated_conjecture,[status(cth)],[f10])).
% 1.70/0.50 tff(f13,plain,(
% 1.70/0.50 ! [X0 : array,X1 : $int] : (sorted(X0,X1) <=> ! [X2 : $int,X3 : $int] : ((~$less(X2,0) & $less(X2,X1) & $less(X2,X3) & $less(X3,X1)) => ~$less(read(X0,X3),read(X0,X2))))),
% 1.70/0.50 inference(theory_normalization,[],[f6])).
% 1.70/0.50 tff(f15,plain,(
% 1.70/0.50 ! [X0 : array,X1 : $int] : (distinct(X0,X1) <=> ! [X2 : $int,X3 : $int] : (($less(X2,X1) & $less(X3,X1) & ~$less(X3,0) & ~$less(X2,0)) => (read(X0,X2) = read(X0,X3) => X2 = X3)))),
% 1.70/0.50 inference(theory_normalization,[],[f8])).
% 1.70/0.50 tff(f17,plain,(
% 1.70/0.50 ! [X0 : array,X1 : $int] : ((sorted(X0,X1) & $less(0,X1)) => distinct(X0,X1))),
% 1.70/0.50 inference(theory_normalization,[],[f11])).
% 1.70/0.50 tff(f18,definition,(
% 1.70/0.50 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 1.70/0.50 introduced(theory,[tha_commutativity])).
% 1.70/0.50 tff(f20,definition,(
% 1.70/0.50 ( ! [X0 : $int] : ($sum(X0,0) = X0) )),
% 1.70/0.50 introduced(theory,[tha_right_identity])).
% 1.70/0.50 tff(f22,definition,(
% 1.70/0.50 ( ! [X0 : $int] : (0 = $sum(X0,$uminus(X0))) )),
% 1.70/0.50 introduced(theory,[tha_inverse_op_unit])).
% 1.70/0.50 tff(f23,definition,(
% 1.70/0.50 ( ! [X0 : $int] : (~$less(X0,X0)) )),
% 1.70/0.50 introduced(theory,[tha_non-reflexivity])).
% 1.70/0.50 tff(f26,definition,(
% 1.70/0.50 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less($sum(X0,X2),$sum(X1,X2)) | ~$less(X0,X1)) )),
% 1.70/0.50 introduced(theory,[tha_order_monotonicity])).
% 1.70/0.50 tff(f27,definition,(
% 1.70/0.50 ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,$sum(X0,1))) )),
% 1.70/0.50 introduced(theory,[tha_order_plus_one_dichotomy])).
% 1.70/0.50 tff(f31,plain,(
% 1.70/0.50 ! [X0 : array,X1 : $int] : (distinct(X0,X1) => ! [X2 : $int,X3 : $int] : (($less(X2,X1) & $less(X3,X1) & ~$less(X3,0) & ~$less(X2,0)) => (read(X0,X2) = read(X0,X3) => X2 = X3)))),
% 1.70/0.50 inference(unused_predicate_definition_removal,[],[f15])).
% 1.70/0.50 tff(f32,plain,(
% 1.70/0.50 ! [X0 : array,X1 : $int] : (! [X2 : $int,X3 : $int] : ((~$less(X2,0) & $less(X2,X1) & $less(X2,X3) & $less(X3,X1)) => ~$less(read(X0,X3),read(X0,X2))) => sorted(X0,X1))),
% 1.70/0.50 inference(unused_predicate_definition_removal,[],[f13])).
% 1.70/0.50 tff(f36,plain,(
% 1.70/0.50 ! [X0 : array,X1 : $int] : (sorted(X0,X1) | ? [X2 : $int,X3 : $int] : ($less(read(X0,X3),read(X0,X2)) & (~$less(X2,0) & $less(X2,X1) & $less(X2,X3) & $less(X3,X1))))),
% 1.70/0.50 inference(ennf_transformation,[],[f32])).
% 1.70/0.50 tff(f37,plain,(
% 1.70/0.50 ! [X0 : array,X1 : $int] : (sorted(X0,X1) | ? [X2 : $int,X3 : $int] : ($less(read(X0,X3),read(X0,X2)) & ~$less(X2,0) & $less(X2,X1) & $less(X2,X3) & $less(X3,X1)))),
% 1.70/0.50 inference(flattening,[],[f36])).
% 1.70/0.50 tff(f38,plain,(
% 1.70/0.50 ! [X0 : array,X1 : $int] : (! [X2 : $int,X3 : $int] : ((X2 = X3 | read(X0,X2) != read(X0,X3)) | (~$less(X2,X1) | ~$less(X3,X1) | $less(X3,0) | $less(X2,0))) | ~distinct(X0,X1))),
% 1.70/0.50 inference(ennf_transformation,[],[f31])).
% 1.70/0.50 tff(f39,plain,(
% 1.70/0.50 ! [X0 : array,X1 : $int] : (! [X2 : $int,X3 : $int] : (X2 = X3 | read(X0,X2) != read(X0,X3) | ~$less(X2,X1) | ~$less(X3,X1) | $less(X3,0) | $less(X2,0)) | ~distinct(X0,X1))),
% 1.70/0.50 inference(flattening,[],[f38])).
% 1.70/0.50 tff(f41,plain,(
% 1.70/0.50 ! [X0 : array,X1 : $int] : (distinct(X0,X1) | (~sorted(X0,X1) | ~$less(0,X1)))),
% 1.70/0.50 inference(ennf_transformation,[],[f17])).
% 1.70/0.50 tff(f42,plain,(
% 1.70/0.50 ! [X0 : array,X1 : $int] : (distinct(X0,X1) | ~sorted(X0,X1) | ~$less(0,X1))),
% 1.70/0.50 inference(flattening,[],[f41])).
% 1.70/0.50 tff(f45,plain,(
% 1.70/0.50 ! [X0 : array,X1 : $int] : (sorted(X0,X1) | ($less(read(X0,sK3(X0,X1)),read(X0,sK2(X0,X1))) & ~$less(sK2(X0,X1),0) & $less(sK2(X0,X1),X1) & $less(sK2(X0,X1),sK3(X0,X1)) & $less(sK3(X0,X1),X1)))),
% 1.70/0.50 inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X2,sK2(X0,X1)),skolemize(X3,sK3(X0,X1))],[f37])).
% 1.70/0.50 tff(f50,plain,(
% 1.70/0.50 ( ! [X0 : $int,X1 : $int] : (read(init(X0),X1) = X0) )),
% 1.70/0.50 inference(cnf_transformation,[],[f4])).
% 1.70/0.50 tff(f58,plain,(
% 1.70/0.50 ( ! [X0 : array,X1 : $int] : (sorted(X0,X1) | $less(read(X0,sK3(X0,X1)),read(X0,sK2(X0,X1)))) )),
% 1.70/0.50 inference(cnf_transformation,[],[f45])).
% 1.70/0.50 tff(f59,plain,(
% 1.70/0.50 ( ! [X2 : $int,X3 : $int,X0 : array,X1 : $int] : (read(X0,X2) != read(X0,X3) | X2 = X3 | ~$less(X2,X1) | ~$less(X3,X1) | $less(X3,0) | $less(X2,0) | ~distinct(X0,X1)) )),
% 1.70/0.50 inference(cnf_transformation,[],[f39])).
% 1.70/0.50 tff(f63,plain,(
% 1.70/0.50 ( ! [X0 : array,X1 : $int] : (~$less(0,X1) | ~sorted(X0,X1) | distinct(X0,X1)) )),
% 1.70/0.50 inference(cnf_transformation,[],[f42])).
% 1.70/0.50 tff(f73,plain,(
% 1.70/0.50 ( ! [X0 : $int,X1 : array] : ($less(X0,$sum(0,1)) | ~sorted(X1,X0) | distinct(X1,X0)) )),
% 1.70/0.50 inference(resolution,[],[f27,f63])).
% 1.70/0.50 tff(f75,plain,(
% 1.70/0.50 ( ! [X0 : $int] : ($less(X0,$sum(X0,1))) )),
% 1.70/0.50 inference(resolution,[],[f27,f23])).
% 1.70/0.50 tff(f77,plain,(
% 1.70/0.50 ( ! [X0 : $int,X1 : $int] : ($less(X1,$sum(1,X0)) | $less(X0,X1)) )),
% 1.70/0.50 inference(superposition,[],[f27,f18])).
% 1.70/0.50 tff(f78,plain,(
% 1.70/0.50 ( ! [X0 : $int,X1 : array] : (~sorted(X1,X0) | $less(X0,1) | distinct(X1,X0)) )),
% 1.70/0.50 inference(evaluation,[],[f73])).
% 1.70/0.50 tff(f126,plain,(
% 1.70/0.50 ( ! [X0 : $int,X1 : $int] : (~$less(X0,X1) | $less(0,$sum(X1,$uminus(X0)))) )),
% 1.70/0.50 inference(superposition,[],[f26,f22])).
% 1.70/0.50 tff(f132,plain,(
% 1.70/0.50 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less($sum(X2,X0),$sum(X0,X1)) | ~$less(X2,X1)) )),
% 1.70/0.50 inference(superposition,[],[f26,f18])).
% 1.70/0.50 tff(f173,plain,(
% 1.70/0.50 ( ! [X0 : array,X1 : $int] : (distinct(X0,X1) | $less(X1,1) | $less(read(X0,sK3(X0,X1)),read(X0,sK2(X0,X1)))) )),
% 1.70/0.50 inference(resolution,[],[f58,f78])).
% 1.70/0.50 tff(f215,plain,(
% 1.70/0.50 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : $int] : (read(init(X0),X1) != X0 | X1 = X2 | ~$less(X1,X3) | ~$less(X2,X3) | $less(X2,0) | $less(X1,0) | ~distinct(init(X0),X3)) )),
% 1.70/0.50 inference(superposition,[],[f59,f50])).
% 1.70/0.50 tff(f220,plain,(
% 1.70/0.50 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : $int] : (~distinct(init(X0),X3) | ~$less(X1,X3) | ~$less(X2,X3) | $less(X2,0) | $less(X1,0) | X1 = X2) )),
% 1.70/0.50 inference(forward_subsumption_resolution,[],[f215,f50])).
% 1.70/0.50 tff(f490,plain,(
% 1.70/0.50 ( ! [X0 : $int,X1 : $int] : ($less($sum(X1,X0),X0) | ~$less(X1,0)) )),
% 1.70/0.50 inference(superposition,[],[f132,f20])).
% 1.70/0.50 tff(f1411,plain,(
% 1.70/0.50 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : $int] : (~$less(X0,X1) | ~$less(X2,X1) | $less(X2,0) | $less(X0,0) | X0 = X2 | $less(X1,1) | $less(read(init(X3),sK3(init(X3),X1)),read(init(X3),sK2(init(X3),X1)))) )),
% 1.70/0.50 inference(resolution,[],[f220,f173])).
% 1.70/0.50 tff(f1438,plain,(
% 1.70/0.50 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : $int] : ($less(read(init(X3),sK3(init(X3),X1)),X3) | ~$less(X0,X1) | ~$less(X2,X1) | $less(X2,0) | $less(X0,0) | X0 = X2 | $less(X1,1)) )),
% 1.70/0.50 inference(forward_demodulation,[],[f1411,f50])).
% 1.70/0.50 tff(f1466,plain,(
% 1.70/0.50 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : $int] : ($less(X3,X3) | ~$less(X0,X1) | ~$less(X2,X1) | $less(X2,0) | $less(X0,0) | X0 = X2 | $less(X1,1)) )),
% 1.70/0.50 inference(forward_demodulation,[],[f1438,f50])).
% 1.70/0.50 tff(f1468,plain,(
% 1.70/0.50 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(X2,X1) | ~$less(X0,X1) | $less(X2,0) | $less(X0,0) | X0 = X2 | $less(X1,1)) )),
% 1.70/0.50 inference(forward_subsumption_resolution,[],[f1466,f23])).
% 1.70/0.50 tff(f1524,plain,(
% 1.70/0.50 ( ! [X0 : $int,X1 : $int] : (~$less(X0,$sum(X1,1)) | $less(X1,0) | $less(X0,0) | X0 = X1 | $less($sum(X1,1),1)) )),
% 1.70/0.50 inference(resolution,[],[f1468,f75])).
% 1.70/0.50 tff(f1540,plain,(
% 1.70/0.50 ( ! [X0 : $int,X1 : $int] : (~$less(X0,$sum(X1,1)) | $less(X0,0) | X0 = X1 | $less($sum(X1,1),1)) )),
% 1.70/0.50 inference(forward_subsumption_resolution,[],[f1524,f490])).
% 1.70/0.50 tff(f1566,plain,(
% 1.70/0.50 ( ! [X0 : $int] : ($less(X0,0) | 1 = X0 | $less($sum(1,1),1) | $less(1,X0)) )),
% 1.70/0.50 inference(resolution,[],[f1540,f77])).
% 1.70/0.50 tff(f1584,plain,(
% 1.70/0.50 ( ! [X0 : $int] : ($less(1,X0) | $less(X0,0) | 1 = X0) )),
% 1.70/0.50 inference(evaluation,[],[f1566])).
% 1.70/0.50 tff(f1600,plain,(
% 1.70/0.50 ( ! [X0 : $int] : ($less(X0,0) | 1 = X0 | $less(0,$sum(X0,$uminus(1)))) )),
% 1.70/0.50 inference(resolution,[],[f1584,f126])).
% 1.70/0.50 tff(f1630,plain,(
% 1.70/0.50 ( ! [X0 : $int] : ($less(0,$sum(X0,-1)) | $less(X0,0) | 1 = X0) )),
% 1.70/0.50 inference(evaluation,[],[f1600])).
% 1.70/0.50 tff(f1734,plain,(
% 1.70/0.50 ( ! [X0 : $int] : ($less(0,$sum(-1,X0)) | $less(X0,0) | 1 = X0) )),
% 1.70/0.50 inference(superposition,[],[f1630,f18])).
% 1.70/0.50 tff(f1788,plain,(
% 1.70/0.50 $less(0,-1) | $less(0,0) | 0 = 1),
% 1.70/0.50 inference(superposition,[],[f1734,f20])).
% 1.70/0.50 tff(f1789,plain,(
% 1.70/0.50 $false),
% 1.70/0.50 inference(evaluation,[],[f1788])).
% 1.70/0.50 % SZS output end Proof for theBenchmark
% 1.70/0.50 % (700690)------------------------------
% 1.70/0.50 % (700690)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.70/0.50 % (700690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.70/0.50 % (700690)CaDiCaL version: 2.1.3
% 1.70/0.50 % (700690)Termination reason: Refutation
% 1.70/0.50 % (700690)Time elapsed: 0.076 s
% 1.70/0.50 % (700690)Peak memory usage: 13 MB
% 1.70/0.50 % (700690)Instructions burned: 114 (million)
% 1.70/0.50 % (700612)Success in time 0.259 s
% 1.70/0.50 % Vampire exiting
%------------------------------------------------------------------------------