%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : DAT075_1 : TPTP v9.3.1. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 09:48:04 AM UTC 2026
% Result : Theorem 0.99s 0.40s
% Output : Refutation 0.99s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : DAT075_1 : TPTP v9.3.1. Released v6.1.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.22 % Computer : n020.cluster.edu
% 0.11/0.22 % Model : x86_64 x86_64
% 0.11/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.22 % Memory : 8046.5625MB
% 0.11/0.22 % OS : Linux 6.8.0-71-generic
% 0.11/0.22 % CPULimit : 300
% 0.11/0.22 % WCLimit : 300
% 0.11/0.22 % DateTime : Tue Sep 29 00:08:50 UTC 2026
% 0.11/0.22 % CPUTime :
% 0.11/0.23 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.25 Running first-order model finding
% 0.11/0.25 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.99/0.40 % (700744)Will run a generic schedule for satisfiability detection.
% 0.99/0.40 % (700750)% WARNING: option uhcvi not known.
% 0.99/0.40 % (700750)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1538419146:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.99/0.40 % (700749)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1523005138_2999 on theBenchmark for (2999ds/0Mi)
% 0.99/0.40 % (700751)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=20137421:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.99/0.40 % (700752)dis+10_1_sil=32000:sp=arity:random_seed=1202183376:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.99/0.40 % (700753)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3057064537:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.99/0.40 % (700749)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.99/0.40 % (700755)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3337447200:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.99/0.40 % (700749)Terminated due to inappropriate strategy.
% 0.99/0.40 % (700749)------------------------------
% 0.99/0.40 % (700749)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.99/0.40 % (700749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.99/0.40 % (700754)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1493375000:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.99/0.40 % (700749)CaDiCaL version: 2.1.3
% 0.99/0.40 % (700749)Termination reason: Inappropriate
% 0.99/0.40 % (700749)Time elapsed: 0.001 s
% 0.99/0.40 % (700749)Peak memory usage: 10 MB
% 0.99/0.40 % (700749)Instructions burned: 1 (million)
% 0.99/0.40 % (700749)------------------------------
% 0.99/0.40 % (700749)------------------------------
% 0.99/0.40 % (700763)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1640932117:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.99/0.40 % (700763)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.99/0.40 % (700763)Terminated due to inappropriate strategy.
% 0.99/0.40 % (700763)------------------------------
% 0.99/0.40 % (700763)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.99/0.40 % (700763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.99/0.40 % (700763)CaDiCaL version: 2.1.3
% 0.99/0.40 % (700763)Termination reason: Inappropriate
% 0.99/0.40 % (700763)Time elapsed: 0.001 s
% 0.99/0.40 % (700763)Peak memory usage: 10 MB
% 0.99/0.40 % (700763)Instructions burned: 1 (million)
% 0.99/0.40 % (700763)------------------------------
% 0.99/0.40 % (700763)------------------------------
% 0.99/0.40 % (700765)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3069213371:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.99/0.40 % (700752)Instruction limit reached!
% 0.99/0.40 % (700752)------------------------------
% 0.99/0.40 % (700752)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.99/0.40 % (700752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.99/0.40 % (700752)CaDiCaL version: 2.1.3
% 0.99/0.40 % (700752)Termination reason: Instruction limit
% 0.99/0.40 % (700752)Termination phase: Saturation
% 0.99/0.40 % (700752)Time elapsed: 0.062 s
% 0.99/0.40 % (700752)Peak memory usage: 12 MB
% 0.99/0.40 % (700752)Instructions burned: 103 (million)
% 0.99/0.40 % (700753)Instruction limit reached!
% 0.99/0.40 % (700753)------------------------------
% 0.99/0.40 % (700753)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.99/0.40 % (700753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.99/0.40 % (700753)CaDiCaL version: 2.1.3
% 0.99/0.40 % (700753)Termination reason: Instruction limit
% 0.99/0.40 % (700753)Termination phase: Saturation
% 0.99/0.40 % (700753)Time elapsed: 0.072 s
% 0.99/0.40 % (700753)Peak memory usage: 13 MB
% 0.99/0.40 % (700753)Instructions burned: 120 (million)
% 0.99/0.40 % (700754)Instruction limit reached!
% 0.99/0.40 % (700754)------------------------------
% 0.99/0.40 % (700754)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.99/0.40 % (700754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.99/0.40 % (700754)CaDiCaL version: 2.1.3
% 0.99/0.40 % (700754)Termination reason: Instruction limit
% 0.99/0.40 % (700754)Termination phase: Saturation
% 0.99/0.40 % (700754)Time elapsed: 0.078 s
% 0.99/0.40 % (700754)Peak memory usage: 13 MB
% 0.99/0.40 % (700754)Instructions burned: 132 (million)
% 0.99/0.40 % (700774)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=339118163:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 0.99/0.40 % (700755)Instruction limit reached!
% 0.99/0.40 % (700755)------------------------------
% 0.99/0.40 % (700755)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.99/0.40 % (700755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.99/0.40 % (700755)CaDiCaL version: 2.1.3
% 0.99/0.40 % (700755)Termination reason: Instruction limit
% 0.99/0.40 % (700755)Termination phase: Saturation
% 0.99/0.40 % (700755)Time elapsed: 0.089 s
% 0.99/0.40 % (700755)Peak memory usage: 12 MB
% 0.99/0.40 % (700755)Instructions burned: 159 (million)
% 0.99/0.40 % (700778)ott-21_1_sil=16000:fs=off:random_seed=2703213803:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 0.99/0.40 % (700782)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3156900915:i=477:bd=all_2999 on theBenchmark for (2999ds/477Mi)
% 0.99/0.40 % (700790)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=508339475:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 0.99/0.40 % (700790)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.99/0.40 % (700790)Terminated due to inappropriate strategy.
% 0.99/0.40 % (700790)------------------------------
% 0.99/0.40 % (700790)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.99/0.40 % (700790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.99/0.40 % (700790)CaDiCaL version: 2.1.3
% 0.99/0.40 % (700790)Termination reason: Inappropriate
% 0.99/0.40 % (700790)Time elapsed: 0.001 s
% 0.99/0.40 % (700790)Peak memory usage: 10 MB
% 0.99/0.40 % (700790)Instructions burned: 1 (million)
% 0.99/0.40 % (700790)------------------------------
% 0.99/0.40 % (700790)------------------------------
% 0.99/0.40 % (700750) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-700744-700750"...
% 0.99/0.40 % (700750)...printing done.
% 0.99/0.40 % (700750)Refutation found. Thanks to Tanya!
% 0.99/0.40 % SZS status Theorem for theBenchmark
% 0.99/0.40 % SZS output start Proof for theBenchmark
% 0.99/0.40 tff(type_def_5, type, array: $tType).
% 0.99/0.40 tff(func_def_0, type, read: (array * $int) > $int).
% 0.99/0.40 tff(func_def_1, type, write: (array * $int * $int) > array).
% 0.99/0.40 tff(func_def_2, type, init: $int > array).
% 0.99/0.40 tff(func_def_3, type, max: (array * $int) > $int).
% 0.99/0.40 tff(func_def_5, type, rev: (array * $int) > array).
% 0.99/0.40 tff(func_def_10, type, sK0: (array * array) > $int).
% 0.99/0.40 tff(func_def_11, type, sK1: (array * $int * $int) > $int).
% 0.99/0.40 tff(func_def_12, type, sK2: (array * array * $int) > $int).
% 0.99/0.40 tff(pred_def_4, type, sorted: (array * $int) > $o).
% 0.99/0.40 tff(pred_def_6, type, inRange: (array * $int * $int) > $o).
% 0.99/0.40 tff(pred_def_7, type, distinct: (array * $int) > $o).
% 0.99/0.40 tff(f1,axiom,(
% 0.99/0.40 ! [X0 : array,X1 : $int,X2 : $int] : read(write(X0,X1,X2),X1) = X2),
% 0.99/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1)).
% 0.99/0.40 tff(f2,axiom,(
% 0.99/0.40 ! [X0 : array,X1 : $int,X2 : $int,X3 : $int] : (X1 = X2 | read(write(X0,X1,X3),X2) = read(X0,X2))),
% 0.99/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2)).
% 0.99/0.40 tff(f9,axiom,(
% 0.99/0.40 ! [X0 : array,X1 : array,X2 : $int] : (! [X3 : $int] : (($greatereq(X3,0) & $greater(X2,X3) & read(X1,X3) = read(X0,$difference(X2,$sum(X3,1)))) | (($greater(0,X3) | $greatereq(X3,X2)) & read(X1,X3) = read(X0,X3))) => rev(X0,X2) = X1)),
% 0.99/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p',rev_n1_proper)).
% 0.99/0.40 tff(f10,conjecture,(
% 0.99/0.40 ~ ! [X0 : array,X1 : $int] : read(rev(X0,$sum(X1,1)),0) = read(X0,X1)),
% 0.99/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p',c3)).
% 0.99/0.40 tff(f11,negated_conjecture,(
% 0.99/0.40 ~ ~ ! [X0 : array,X1 : $int] : read(rev(X0,$sum(X1,1)),0) = read(X0,X1)),
% 0.99/0.40 inference(negated_conjecture,[status(cth)],[f10])).
% 0.99/0.40 tff(f16,plain,(
% 0.99/0.40 ! [X0 : array,X1 : array,X2 : $int] : (! [X3 : $int] : ((~$less(X3,0) & $less(X3,X2) & read(X1,X3) = read(X0,$sum(X2,$uminus($sum(X3,1))))) | (($less(X3,0) | ~$less(X3,X2)) & read(X1,X3) = read(X0,X3))) => rev(X0,X2) = X1)),
% 0.99/0.40 inference(theory_normalization,[],[f9])).
% 0.99/0.40 tff(f18,definition,(
% 0.99/0.40 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 0.99/0.40 introduced(theory,[tha_associativity])).
% 0.99/0.40 tff(f21,definition,(
% 0.99/0.40 ( ! [X0 : $int] : (0 = $sum(X0,$uminus(X0))) )),
% 0.99/0.40 introduced(theory,[tha_inverse_op_unit])).
% 0.99/0.40 tff(f22,definition,(
% 0.99/0.40 ( ! [X0 : $int] : (~$less(X0,X0)) )),
% 0.99/0.40 introduced(theory,[tha_non-reflexivity])).
% 0.99/0.40 tff(f25,definition,(
% 0.99/0.40 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less($sum(X0,X2),$sum(X1,X2)) | ~$less(X0,X1)) )),
% 0.99/0.40 introduced(theory,[tha_order_monotonicity])).
% 0.99/0.40 tff(f26,definition,(
% 0.99/0.40 ( ! [X0 : $int,X1 : $int] : ($less(X1,$sum(X0,1)) | $less(X0,X1)) )),
% 0.99/0.40 introduced(theory,[tha_order_plus_one_dichotomy])).
% 0.99/0.40 tff(f27,definition,(
% 0.99/0.40 ( ! [X0 : $int] : ($uminus($uminus(X0)) = X0) )),
% 0.99/0.40 introduced(theory,[tha_minus_minus_x])).
% 0.99/0.40 tff(f30,plain,(
% 0.99/0.40 ! [X0 : array,X1 : $int] : read(rev(X0,$sum(X1,1)),0) = read(X0,X1)),
% 0.99/0.40 inference(flattening,[],[f11])).
% 0.99/0.40 tff(f34,plain,(
% 0.99/0.40 ! [X0 : array,X1 : array,X2 : $int] : (rev(X0,X2) = X1 | ? [X3 : $int] : (($less(X3,0) | ~$less(X3,X2) | read(X1,X3) != read(X0,$sum(X2,$uminus($sum(X3,1))))) & ((~$less(X3,0) & $less(X3,X2)) | read(X0,X3) != read(X1,X3))))),
% 0.99/0.40 inference(ennf_transformation,[],[f16])).
% 0.99/0.40 tff(f35,plain,(
% 0.99/0.40 ( ! [X2 : $int,X0 : array,X1 : $int] : (read(write(X0,X1,X2),X1) = X2) )),
% 0.99/0.40 inference(cnf_transformation,[],[f1])).
% 0.99/0.40 tff(f36,plain,(
% 0.99/0.40 ( ! [X2 : $int,X3 : $int,X0 : array,X1 : $int] : (read(write(X0,X1,X3),X2) = read(X0,X2) | X1 = X2) )),
% 0.99/0.40 inference(cnf_transformation,[],[f2])).
% 0.99/0.40 tff(f42,plain,(
% 0.99/0.40 ( ! [X2 : $int,X0 : array,X1 : array] : ($less(sK2(X0,X1,X2),X2) | read(X0,sK2(X0,X1,X2)) != read(X1,sK2(X0,X1,X2)) | rev(X0,X2) = X1) )),
% 0.99/0.40 inference(cnf_transformation,[],[f34])).
% 0.99/0.40 tff(f43,plain,(
% 0.99/0.40 ( ! [X2 : $int,X0 : array,X1 : array] : (~$less(sK2(X0,X1,X2),0) | read(X0,sK2(X0,X1,X2)) != read(X1,sK2(X0,X1,X2)) | rev(X0,X2) = X1) )),
% 0.99/0.40 inference(cnf_transformation,[],[f34])).
% 0.99/0.40 tff(f45,plain,(
% 0.99/0.40 ( ! [X0 : array,X1 : $int] : (read(rev(X0,$sum(X1,1)),0) = read(X0,X1)) )),
% 0.99/0.40 inference(cnf_transformation,[],[f30])).
% 0.99/0.40 tff(f49,plain,(
% 0.99/0.40 ( ! [X0 : $int] : (0 = $sum($uminus(X0),X0)) )),
% 0.99/0.40 inference(superposition,[],[f21,f27])).
% 0.99/0.40 tff(f52,plain,(
% 0.99/0.40 ( ! [X0 : array] : (read(X0,$uminus(1)) = read(rev(X0,0),0)) )),
% 0.99/0.40 inference(superposition,[],[f45,f49])).
% 0.99/0.40 tff(f54,plain,(
% 0.99/0.40 ( ! [X0 : array] : (read(rev(X0,0),0) = read(X0,-1)) )),
% 0.99/0.40 inference(evaluation,[],[f52])).
% 0.99/0.40 tff(f65,plain,(
% 0.99/0.40 ( ! [X0 : $int] : ($less(X0,$sum(X0,1))) )),
% 0.99/0.40 inference(resolution,[],[f26,f22])).
% 0.99/0.40 tff(f112,plain,(
% 0.99/0.40 ( ! [X0 : $int,X1 : $int] : (~$less(X0,X1) | $less($sum(X0,$uminus(X1)),0)) )),
% 0.99/0.40 inference(superposition,[],[f25,f21])).
% 0.99/0.40 tff(f120,plain,(
% 0.99/0.40 ( ! [X0 : $int,X1 : $int] : ($sum(0,X1) = $sum(X0,$sum($uminus(X0),X1))) )),
% 0.99/0.40 inference(superposition,[],[f18,f21])).
% 0.99/0.40 tff(f131,plain,(
% 0.99/0.40 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : $int] : (~$less($sum(X0,X1),X3) | $less($sum(X0,$sum(X1,X2)),$sum(X3,X2))) )),
% 0.99/0.40 inference(superposition,[],[f25,f18])).
% 0.99/0.40 tff(f140,plain,(
% 0.99/0.40 ( ! [X0 : $int,X1 : $int] : ($sum(X0,$sum($uminus(X0),X1)) = X1) )),
% 0.99/0.40 inference(evaluation,[],[f120])).
% 0.99/0.40 tff(f191,plain,(
% 0.99/0.40 ( ! [X0 : array,X1 : array] : (read(X0,sK2(X0,X1,0)) != read(X1,sK2(X0,X1,0)) | rev(X0,0) = X1 | read(X0,sK2(X0,X1,0)) != read(X1,sK2(X0,X1,0)) | rev(X0,0) = X1) )),
% 0.99/0.40 inference(resolution,[],[f43,f42])).
% 0.99/0.40 tff(f194,plain,(
% 0.99/0.40 ( ! [X0 : array,X1 : array] : (read(X0,sK2(X0,X1,0)) != read(X1,sK2(X0,X1,0)) | rev(X0,0) = X1) )),
% 0.99/0.40 inference(duplicate_literal_removal,[],[f191])).
% 0.99/0.40 tff(f339,plain,(
% 0.99/0.40 ( ! [X0 : $int] : ($less($sum(X0,$uminus($sum(X0,1))),0)) )),
% 0.99/0.40 inference(resolution,[],[f112,f65])).
% 0.99/0.40 tff(f1265,plain,(
% 0.99/0.40 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(0,X1) | $less($sum(X0,$sum($uminus(X0),X2)),$sum(X1,X2))) )),
% 0.99/0.40 inference(superposition,[],[f131,f21])).
% 0.99/0.40 tff(f1279,plain,(
% 0.99/0.40 ( ! [X2 : $int,X1 : $int] : (~$less(0,X1) | $less(X2,$sum(X1,X2))) )),
% 0.99/0.40 inference(forward_demodulation,[],[f1265,f140])).
% 0.99/0.40 tff(f1297,plain,(
% 0.99/0.40 ( ! [X0 : array] : (rev(X0,0) = X0) )),
% 0.99/0.40 inference(equality_resolution,[],[f194])).
% 0.99/0.40 tff(f5252,plain,(
% 0.99/0.40 ( ! [X0 : array] : (read(X0,-1) = read(X0,0)) )),
% 0.99/0.40 inference(superposition,[],[f54,f1297])).
% 0.99/0.40 tff(f5316,plain,(
% 0.99/0.40 ( ! [X0 : $int,X1 : array] : (read(write(X1,-1,X0),0) = X0) )),
% 0.99/0.40 inference(superposition,[],[f5252,f35])).
% 0.99/0.40 tff(f5450,plain,(
% 0.99/0.40 ( ! [X0 : $int,X1 : array] : (read(X1,0) = X0 | 0 = -1) )),
% 0.99/0.40 inference(superposition,[],[f36,f5316])).
% 0.99/0.40 tff(f5487,plain,(
% 0.99/0.40 ( ! [X0 : $int,X1 : array] : (read(X1,0) = X0) )),
% 0.99/0.40 inference(evaluation,[],[f5450])).
% 0.99/0.40 tff(f5489,plain,(
% 0.99/0.40 ( ! [X2 : $int,X0 : $int] : (X0 = X2) )),
% 0.99/0.40 inference(superposition,[],[f5487,f5487])).
% 0.99/0.40 tff(f5932,definition,(
% 0.99/0.40 spl3_10 <=> ! [X3 : $int] : $less(X3,0)),
% 0.99/0.40 introduced(definition,[new_symbols(definition,[spl3_10])],[avatar_definition])).
% 0.99/0.40 tff(f5933,plain,(
% 0.99/0.40 ( ! [X3 : $int] : ($less(X3,0)) ) | ~spl3_10),
% 0.99/0.40 inference(avatar_component_clause,[],[f5932])).
% 0.99/0.40 tff(f6989,plain,(
% 0.99/0.40 ( ! [X0 : $int] : ($less(X0,0)) )),
% 0.99/0.40 inference(superposition,[],[f339,f5489])).
% 0.99/0.40 tff(f7004,plain,(
% 0.99/0.40 spl3_10),
% 0.99/0.40 inference(avatar_split_clause,[],[f6989,f5932])).
% 0.99/0.40 tff(f7361,plain,(
% 0.99/0.40 ( ! [X0 : $int] : ($less(X0,$sum(0,X0))) ) | ~spl3_10),
% 0.99/0.40 inference(resolution,[],[f5933,f1279])).
% 0.99/0.40 tff(f7371,plain,(
% 0.99/0.40 ( ! [X0 : $int] : ($less(X0,X0)) ) | ~spl3_10),
% 0.99/0.40 inference(evaluation,[],[f7361])).
% 0.99/0.40 tff(f7381,plain,(
% 0.99/0.40 $false | ~spl3_10),
% 0.99/0.40 inference(forward_subsumption_resolution,[],[f7371,f22])).
% 0.99/0.40 tff(f7382,plain,(
% 0.99/0.40 ~spl3_10),
% 0.99/0.40 inference(avatar_contradiction_clause,[],[f7381])).
% 0.99/0.40 cnf(s18, plain, spl3_10, inference(sat_conversion,[],[f7004])).
% 0.99/0.40 cnf(s21, plain, ~spl3_10, inference(sat_conversion,[],[f7382])).
% 0.99/0.40 cnf(s22, plain, $false, inference(rat,[],[s18,s21])).
% 0.99/0.40 tff(f7383,plain,(
% 0.99/0.40 $false),
% 0.99/0.40 inference(avatar_sat_refutation,[],[s22])).
% 0.99/0.40 % SZS output end Proof for theBenchmark
% 0.99/0.40 % (700750)------------------------------
% 0.99/0.40 % (700750)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.99/0.40 % (700750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.99/0.40 % (700750)CaDiCaL version: 2.1.3
% 0.99/0.40 % (700750)Termination reason: Refutation
% 0.99/0.40 % (700750)Time elapsed: 0.130 s
% 0.99/0.40 % (700750)Peak memory usage: 16 MB
% 0.99/0.40 % (700750)Instructions burned: 467 (million)
% 0.99/0.40 % (700744)Success in time 0.145 s
% 0.99/0.40 % Vampire exiting
%------------------------------------------------------------------------------