%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PLA060_1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n010.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 12:30:12 PM UTC 2026
% Result : Theorem 2.34s 1.03s
% Output : Refutation 2.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PLA060_1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.37 % Computer : n010.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 22:16:17 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 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
% 2.34/1.02 % (1365432)Will run a generic schedule for satisfiability detection.
% 2.34/1.02 % (1365440)dis+10_1_sil=32000:sp=arity:random_seed=2853446402:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.34/1.02 % (1365438)% WARNING: option uhcvi not known.
% 2.34/1.02 % (1365437)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=785406320_2999 on theBenchmark for (2999ds/0Mi)
% 2.34/1.02 % (1365438)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3029202547:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.34/1.02 % (1365439)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2902734844:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.34/1.02 % (1365441)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3204938278:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.34/1.02 % (1365442)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1575390492:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.34/1.02 % (1365443)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1219543691:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.34/1.02 % (1365437)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 2.34/1.02 % (1365437)Terminated due to inappropriate strategy.
% 2.34/1.02 % (1365437)------------------------------
% 2.34/1.02 % (1365437)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.34/1.02 % (1365437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/1.02 % (1365437)CaDiCaL version: 2.1.3
% 2.34/1.02 % (1365437)Termination reason: Inappropriate
% 2.34/1.02 % (1365437)Time elapsed: 0.001 s
% 2.34/1.02 % (1365437)Peak memory usage: 10 MB
% 2.34/1.02 % (1365437)------------------------------
% 2.34/1.02 % (1365437)------------------------------
% 2.34/1.02 % (1365451)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3460884425:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.34/1.02 % (1365451)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 2.34/1.02 % (1365451)Terminated due to inappropriate strategy.
% 2.34/1.02 % (1365451)------------------------------
% 2.34/1.02 % (1365451)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.34/1.02 % (1365451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/1.02 % (1365451)CaDiCaL version: 2.1.3
% 2.34/1.02 % (1365451)Termination reason: Inappropriate
% 2.34/1.02 % (1365451)Time elapsed: 0.0000 s
% 2.34/1.02 % (1365451)Peak memory usage: 10 MB
% 2.34/1.02 % (1365451)------------------------------
% 2.34/1.02 % (1365451)------------------------------
% 2.34/1.02 % (1365440)Instruction limit reached!
% 2.34/1.02 % (1365440)------------------------------
% 2.34/1.02 % (1365440)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.34/1.02 % (1365440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/1.02 % (1365440)CaDiCaL version: 2.1.3
% 2.34/1.02 % (1365440)Termination reason: Instruction limit
% 2.34/1.02 % (1365440)Termination phase: Saturation
% 2.34/1.02 % (1365440)Time elapsed: 0.036 s
% 2.34/1.02 % (1365440)Peak memory usage: 12 MB
% 2.34/1.02 % (1365440)Instructions burned: 104 (million)
% 2.34/1.02 % (1365454)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=1704018311:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 2.34/1.02 % (1365453)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=107225985:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 2.34/1.02 % (1365441)Instruction limit reached!
% 2.34/1.02 % (1365441)------------------------------
% 2.34/1.02 % (1365441)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.34/1.02 % (1365441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/1.02 % (1365441)CaDiCaL version: 2.1.3
% 2.34/1.02 % (1365441)Termination reason: Instruction limit
% 2.34/1.02 % (1365441)Termination phase: Saturation
% 2.34/1.02 % (1365441)Time elapsed: 0.069 s
% 2.34/1.02 % (1365441)Peak memory usage: 12 MB
% 2.34/1.02 % (1365441)Instructions burned: 116 (million)
% 2.34/1.02 % (1365442)Instruction limit reached!
% 2.34/1.02 % (1365442)------------------------------
% 2.34/1.02 % (1365442)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.34/1.02 % (1365442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/1.02 % (1365442)CaDiCaL version: 2.1.3
% 2.34/1.02 % (1365442)Termination reason: Instruction limit
% 2.34/1.02 % (1365442)Termination phase: Saturation
% 2.34/1.02 % (1365442)Time elapsed: 0.084 s
% 2.34/1.02 % (1365442)Peak memory usage: 12 MB
% 2.34/1.02 % (1365442)Instructions burned: 132 (million)
% 2.34/1.02 % (1365457)ott-21_1_sil=16000:fs=off:random_seed=2507383700:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 2.34/1.02 % (1365443)Instruction limit reached!
% 2.34/1.02 % (1365443)------------------------------
% 2.34/1.02 % (1365443)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.34/1.02 % (1365443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/1.02 % (1365443)CaDiCaL version: 2.1.3
% 2.34/1.02 % (1365443)Termination reason: Instruction limit
% 2.34/1.02 % (1365443)Termination phase: Saturation
% 2.34/1.02 % (1365443)Time elapsed: 0.089 s
% 2.34/1.02 % (1365443)Peak memory usage: 12 MB
% 2.34/1.02 % (1365443)Instructions burned: 159 (million)
% 2.34/1.02 % (1365458)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4266675424:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 2.34/1.02 % (1365460)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1508809875:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 2.34/1.02 % (1365460)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 2.34/1.02 % (1365460)Terminated due to inappropriate strategy.
% 2.34/1.02 % (1365460)------------------------------
% 2.34/1.02 % (1365460)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.34/1.02 % (1365460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/1.02 % (1365460)CaDiCaL version: 2.1.3
% 2.34/1.02 % (1365460)Termination reason: Inappropriate
% 2.34/1.02 % (1365460)Time elapsed: 0.001 s
% 2.34/1.02 % (1365460)Peak memory usage: 10 MB
% 2.34/1.02 % (1365460)------------------------------
% 2.34/1.02 % (1365460)------------------------------
% 2.34/1.02 % (1365453)Instruction limit reached!
% 2.34/1.02 % (1365453)------------------------------
% 2.34/1.02 % (1365453)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.34/1.02 % (1365453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/1.02 % (1365453)CaDiCaL version: 2.1.3
% 2.34/1.02 % (1365453)Termination reason: Instruction limit
% 2.34/1.02 % (1365453)Termination phase: Saturation
% 2.34/1.02 % (1365453)Time elapsed: 0.088 s
% 2.34/1.02 % (1365453)Peak memory usage: 13 MB
% 2.34/1.02 % (1365453)Instructions burned: 131 (million)
% 2.34/1.02 % (1365463)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2105867577:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 2.34/1.02 % (1365464)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2041634021:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 2.34/1.02 % (1365464)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 2.34/1.02 % (1365464)Terminated due to inappropriate strategy.
% 2.34/1.02 % (1365464)------------------------------
% 2.34/1.02 % (1365464)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.34/1.02 % (1365464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/1.02 % (1365464)CaDiCaL version: 2.1.3
% 2.34/1.02 % (1365464)Termination reason: Inappropriate
% 2.34/1.02 % (1365464)Time elapsed: 0.0000 s
% 2.34/1.02 % (1365464)Peak memory usage: 10 MB
% 2.34/1.02 % (1365464)------------------------------
% 2.34/1.02 % (1365464)------------------------------
% 2.34/1.02 % (1365457)Instruction limit reached!
% 2.34/1.02 % (1365457)------------------------------
% 2.34/1.02 % (1365457)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.34/1.02 % (1365457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/1.02 % (1365457)CaDiCaL version: 2.1.3
% 2.34/1.02 % (1365457)Termination reason: Instruction limit
% 2.34/1.02 % (1365457)Termination phase: Saturation
% 2.34/1.02 % (1365457)Time elapsed: 0.079 s
% 2.34/1.02 % (1365457)Peak memory usage: 12 MB
% 2.34/1.02 % (1365457)Instructions burned: 180 (million)
% 2.34/1.02 % (1365467)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=2072968042: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)
% 2.34/1.02 % (1365468)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1563888731:i=879:kws=inv_precedence:fsr=off_2998 on theBenchmark for (2998ds/879Mi)
% 2.34/1.02 % (1365454)Instruction limit reached!
% 2.34/1.02 % (1365454)------------------------------
% 2.34/1.02 % (1365454)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.34/1.02 % (1365454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/1.02 % (1365454)CaDiCaL version: 2.1.3
% 2.34/1.02 % (1365454)Termination reason: Instruction limit
% 2.34/1.02 % (1365454)Termination phase: Saturation
% 2.34/1.02 % (1365454)Time elapsed: 0.203 s
% 2.34/1.02 % (1365454)Peak memory usage: 16 MB
% 2.34/1.02 % (1365454)Instructions burned: 686 (million)
% 2.34/1.02 % (1365471)fmb+10_1_sil=64000:random_seed=2582583738:i=22061:nm=2:gsp=on_2997 on theBenchmark for (2997ds/22061Mi)
% 2.34/1.02 % (1365471)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 2.34/1.02 % (1365471)Terminated due to inappropriate strategy.
% 2.34/1.02 % (1365471)------------------------------
% 2.34/1.02 % (1365471)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.34/1.02 % (1365471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/1.02 % (1365471)CaDiCaL version: 2.1.3
% 2.34/1.02 % (1365471)Termination reason: Inappropriate
% 2.34/1.02 % (1365471)Time elapsed: 0.001 s
% 2.34/1.02 % (1365471)Peak memory usage: 10 MB
% 2.34/1.02 % (1365471)------------------------------
% 2.34/1.02 % (1365471)------------------------------
% 2.34/1.02 % (1365473)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2735667049:i=9515:nm=5_2997 on theBenchmark for (2997ds/9515Mi)
% 2.34/1.02 % (1365473)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 2.34/1.02 % (1365473)Terminated due to inappropriate strategy.
% 2.34/1.02 % (1365473)------------------------------
% 2.34/1.02 % (1365473)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.34/1.02 % (1365473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/1.02 % (1365473)CaDiCaL version: 2.1.3
% 2.34/1.02 % (1365473)Termination reason: Inappropriate
% 2.34/1.02 % (1365473)Time elapsed: 0.0000 s
% 2.34/1.02 % (1365473)Peak memory usage: 10 MB
% 2.34/1.02 % (1365473)------------------------------
% 2.34/1.02 % (1365473)------------------------------
% 2.34/1.02 % (1365475)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=688209246:fmbsr=1.7:i=920_2996 on theBenchmark for (2996ds/920Mi)
% 2.34/1.02 % (1365475)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 2.34/1.02 % (1365475)Terminated due to inappropriate strategy.
% 2.34/1.02 % (1365475)------------------------------
% 2.34/1.02 % (1365475)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.34/1.02 % (1365475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/1.02 % (1365475)CaDiCaL version: 2.1.3
% 2.34/1.02 % (1365475)Termination reason: Inappropriate
% 2.34/1.02 % (1365475)Time elapsed: 0.0000 s
% 2.34/1.02 % (1365475)Peak memory usage: 10 MB
% 2.34/1.02 % (1365475)------------------------------
% 2.34/1.02 % (1365475)------------------------------
% 2.34/1.02 % (1365477)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=4021509735:i=5131_2996 on theBenchmark for (2996ds/5131Mi)
% 2.34/1.02 % (1365458)Instruction limit reached!
% 2.34/1.03 % (1365458)------------------------------
% 2.34/1.03 % (1365458)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.34/1.03 % (1365458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/1.03 % (1365458)CaDiCaL version: 2.1.3
% 2.34/1.03 % (1365458)Termination reason: Instruction limit
% 2.34/1.03 % (1365458)Termination phase: Saturation
% 2.34/1.03 % (1365458)Time elapsed: 0.302 s
% 2.34/1.03 % (1365458)Peak memory usage: 13 MB
% 2.34/1.03 % (1365458)Instructions burned: 477 (million)
% 2.34/1.03 % (1365479)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1232772434:i=1472:ins=7:fdi=8:gsp=on_2995 on theBenchmark for (2995ds/1472Mi)
% 2.34/1.03 % (1365477) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1365432-1365477"...
% 2.34/1.03 % (1365477)...printing done.
% 2.34/1.03 % (1365477)Refutation found. Thanks to Tanya!
% 2.34/1.03 % SZS status Theorem for theBenchmark
% 2.34/1.03 % SZS output start Proof for theBenchmark
% 2.34/1.03 tff(pred_def_1, type, s0: ($int * $int) > $o).
% 2.34/1.03 tff(pred_def_2, type, s1: ($int * $int) > $o).
% 2.34/1.03 tff(pred_def_3, type, s2: ($int * $int) > $o).
% 2.34/1.03 tff(pred_def_4, type, s3: ($int * $int) > $o).
% 2.34/1.03 tff(pred_def_5, type, s4: ($int * $int) > $o).
% 2.34/1.03 tff(f2,axiom,(
% 2.34/1.03 ! [X0 : $int,X1 : $int] : ((s0(X0,X1) & $lesseq(X0,200)) => s3(X0,X1))),
% 2.34/1.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2)).
% 2.34/1.03 tff(f4,axiom,(
% 2.34/1.03 ! [X0 : $int,X1 : $int,X2 : $int] : ((s3(X0,X1) & $lesseq(X2,40) & $greatereq(X2,0)) => s4(X0,X2))),
% 2.34/1.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4)).
% 2.34/1.03 tff(f6,axiom,(
% 2.34/1.03 ! [X0 : $int,X1 : $int,X2 : $int] : ((s4(X0,X1) & X2 = $sum(X0,X1)) => s0(X2,X1))),
% 2.34/1.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6)).
% 2.34/1.03 tff(f7,conjecture,(
% 2.34/1.03 ! [X0 : $int,X1 : $int] : ($lesseq(X0,200) => s0(X0,X1)) => ? [X2 : $int,X3 : $int] : (s0(X2,X3) & $greatereq(X2,240))),
% 2.34/1.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj1)).
% 2.34/1.03 tff(f8,negated_conjecture,(
% 2.34/1.03 ~(! [X0 : $int,X1 : $int] : ($lesseq(X0,200) => s0(X0,X1)) => ? [X2 : $int,X3 : $int] : (s0(X2,X3) & $greatereq(X2,240)))),
% 2.34/1.03 inference(negated_conjecture,[status(cth)],[f7])).
% 2.34/1.03 tff(f10,plain,(
% 2.34/1.03 ! [X0 : $int,X1 : $int] : ((s0(X0,X1) & ~$less(200,X0)) => s3(X0,X1))),
% 2.34/1.03 inference(theory_normalization,[],[f2])).
% 2.34/1.03 tff(f12,plain,(
% 2.34/1.03 ! [X0 : $int,X1 : $int,X2 : $int] : ((s3(X0,X1) & ~$less(40,X2) & ~$less(X2,0)) => s4(X0,X2))),
% 2.34/1.03 inference(theory_normalization,[],[f4])).
% 2.34/1.03 tff(f14,plain,(
% 2.34/1.03 ~(! [X0 : $int,X1 : $int] : (~$less(200,X0) => s0(X0,X1)) => ? [X2 : $int,X3 : $int] : (s0(X2,X3) & ~$less(X2,240)))),
% 2.34/1.03 inference(theory_normalization,[],[f8])).
% 2.34/1.03 tff(f15,definition,(
% 2.34/1.03 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 2.34/1.03 introduced(theory,[tha_commutativity])).
% 2.34/1.03 tff(f16,definition,(
% 2.34/1.03 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 2.34/1.03 introduced(theory,[tha_associativity])).
% 2.34/1.03 tff(f19,definition,(
% 2.34/1.03 ( ! [X0 : $int] : (0 = $sum(X0,$uminus(X0))) )),
% 2.34/1.03 introduced(theory,[tha_inverse_op_unit])).
% 2.34/1.03 tff(f20,definition,(
% 2.34/1.03 ( ! [X0 : $int] : (~$less(X0,X0)) )),
% 2.34/1.03 introduced(theory,[tha_non-reflexivity])).
% 2.34/1.03 tff(f25,definition,(
% 2.34/1.03 ( ! [X0 : $int] : ($uminus($uminus(X0)) = X0) )),
% 2.34/1.03 introduced(theory,[tha_minus_minus_x])).
% 2.34/1.03 tff(f29,plain,(
% 2.34/1.03 ! [X0 : $int,X1 : $int] : (s3(X0,X1) | (~s0(X0,X1) | $less(200,X0)))),
% 2.34/1.03 inference(ennf_transformation,[],[f10])).
% 2.34/1.03 tff(f30,plain,(
% 2.34/1.03 ! [X0 : $int,X1 : $int] : (s3(X0,X1) | ~s0(X0,X1) | $less(200,X0))),
% 2.34/1.03 inference(flattening,[],[f29])).
% 2.34/1.03 tff(f33,plain,(
% 2.34/1.03 ! [X0 : $int,X1 : $int,X2 : $int] : (s4(X0,X2) | (~s3(X0,X1) | $less(40,X2) | $less(X2,0)))),
% 2.34/1.03 inference(ennf_transformation,[],[f12])).
% 2.34/1.03 tff(f34,plain,(
% 2.34/1.03 ! [X0 : $int,X1 : $int,X2 : $int] : (s4(X0,X2) | ~s3(X0,X1) | $less(40,X2) | $less(X2,0))),
% 2.34/1.03 inference(flattening,[],[f33])).
% 2.34/1.03 tff(f37,plain,(
% 2.34/1.03 ! [X0 : $int,X1 : $int,X2 : $int] : (s0(X2,X1) | (~s4(X0,X1) | $sum(X0,X1) != X2))),
% 2.34/1.03 inference(ennf_transformation,[],[f6])).
% 2.34/1.03 tff(f38,plain,(
% 2.34/1.03 ! [X0 : $int,X1 : $int,X2 : $int] : (s0(X2,X1) | ~s4(X0,X1) | $sum(X0,X1) != X2)),
% 2.34/1.03 inference(flattening,[],[f37])).
% 2.34/1.03 tff(f39,plain,(
% 2.34/1.03 ! [X2 : $int,X3 : $int] : (~s0(X2,X3) | $less(X2,240)) & ! [X0 : $int,X1 : $int] : (s0(X0,X1) | $less(200,X0))),
% 2.34/1.03 inference(ennf_transformation,[],[f14])).
% 2.34/1.03 tff(f41,plain,(
% 2.34/1.03 ( ! [X0 : $int,X1 : $int] : ($less(200,X0) | ~s0(X0,X1) | s3(X0,X1)) )),
% 2.34/1.03 inference(cnf_transformation,[],[f30])).
% 2.34/1.03 tff(f43,plain,(
% 2.34/1.03 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less(40,X2) | $less(X2,0) | ~s3(X0,X1) | s4(X0,X2)) )),
% 2.34/1.03 inference(cnf_transformation,[],[f34])).
% 2.34/1.03 tff(f45,plain,(
% 2.34/1.03 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,X1) != X2 | ~s4(X0,X1) | s0(X2,X1)) )),
% 2.34/1.03 inference(cnf_transformation,[],[f38])).
% 2.34/1.03 tff(f46,plain,(
% 2.34/1.03 ( ! [X2 : $int,X3 : $int] : ($less(X2,240) | ~s0(X2,X3)) )),
% 2.34/1.03 inference(cnf_transformation,[],[f39])).
% 2.34/1.03 tff(f47,plain,(
% 2.34/1.03 ( ! [X0 : $int,X1 : $int] : ($less(200,X0) | s0(X0,X1)) )),
% 2.34/1.03 inference(cnf_transformation,[],[f39])).
% 2.34/1.03 tff(f49,plain,(
% 2.34/1.03 ( ! [X0 : $int,X1 : $int] : (s0($sum(X0,X1),X1) | ~s4(X0,X1)) )),
% 2.34/1.03 inference(equality_resolution,[],[f45])).
% 2.34/1.03 tff(f51,plain,(
% 2.34/1.03 ( ! [X0 : $int] : (~s0(240,X0)) )),
% 2.34/1.03 inference(resolution,[],[f20,f46])).
% 2.34/1.03 tff(f97,plain,(
% 2.34/1.03 ( ! [X0 : $int,X1 : $int] : ($less(200,X0) | s3(X0,X1)) )),
% 2.34/1.03 inference(forward_subsumption_resolution,[],[f41,f47])).
% 2.34/1.03 tff(f98,plain,(
% 2.34/1.03 ( ! [X0 : $int] : (s3(200,X0)) )),
% 2.34/1.03 inference(resolution,[],[f97,f20])).
% 2.34/1.03 tff(f147,plain,(
% 2.34/1.03 ( ! [X0 : $int,X1 : $int] : ($sum(0,X1) = $sum(X0,$sum($uminus(X0),X1))) )),
% 2.34/1.03 inference(superposition,[],[f16,f19])).
% 2.34/1.03 tff(f170,plain,(
% 2.34/1.03 ( ! [X0 : $int,X1 : $int] : ($sum(X0,$sum($uminus(X0),X1)) = X1) )),
% 2.34/1.03 inference(evaluation,[],[f147])).
% 2.34/1.03 tff(f182,plain,(
% 2.34/1.03 ( ! [X0 : $int,X1 : $int] : ($less(40,0) | ~s3(X0,X1) | s4(X0,40)) )),
% 2.34/1.03 inference(resolution,[],[f43,f20])).
% 2.34/1.03 tff(f184,plain,(
% 2.34/1.03 ( ! [X0 : $int,X1 : $int] : (s4(X0,40) | ~s3(X0,X1)) )),
% 2.34/1.03 inference(evaluation,[],[f182])).
% 2.34/1.03 tff(f306,plain,(
% 2.34/1.03 ( ! [X0 : $int,X1 : $int] : ($sum(X1,$sum(X0,$uminus(X1))) = X0) )),
% 2.34/1.03 inference(superposition,[],[f170,f15])).
% 2.34/1.03 tff(f316,plain,(
% 2.34/1.03 ( ! [X0 : $int,X1 : $int] : (s0(X0,$sum($uminus(X1),X0)) | ~s4(X1,$sum($uminus(X1),X0))) )),
% 2.34/1.03 inference(superposition,[],[f49,f170])).
% 2.34/1.03 tff(f10873,plain,(
% 2.34/1.03 ( ! [X0 : $int] : (~s4(X0,$sum($uminus(X0),240))) )),
% 2.34/1.03 inference(resolution,[],[f316,f51])).
% 2.34/1.03 tff(f10922,plain,(
% 2.34/1.03 ( ! [X0 : $int] : (~s4(X0,$sum(240,$uminus(X0)))) )),
% 2.34/1.03 inference(forward_demodulation,[],[f10873,f15])).
% 2.34/1.03 tff(f15319,plain,(
% 2.34/1.03 ( ! [X0 : $int] : (~s4($uminus(X0),$sum(240,X0))) )),
% 2.34/1.03 inference(superposition,[],[f10922,f25])).
% 2.34/1.03 tff(f15500,plain,(
% 2.34/1.03 ( ! [X0 : $int] : (~s4($uminus($sum(X0,$uminus(240))),X0)) )),
% 2.34/1.03 inference(superposition,[],[f15319,f306])).
% 2.34/1.03 tff(f15519,plain,(
% 2.34/1.03 ( ! [X0 : $int] : (~s4($uminus($sum(X0,-240)),X0)) )),
% 2.34/1.03 inference(evaluation,[],[f15500])).
% 2.34/1.03 tff(f16183,plain,(
% 2.34/1.03 ( ! [X0 : $int] : (~s3($uminus($sum(40,-240)),X0)) )),
% 2.34/1.03 inference(resolution,[],[f15519,f184])).
% 2.34/1.03 tff(f16201,plain,(
% 2.34/1.03 ( ! [X0 : $int] : (~s3(200,X0)) )),
% 2.34/1.03 inference(evaluation,[],[f16183])).
% 2.34/1.03 tff(f16202,plain,(
% 2.34/1.03 $false),
% 2.34/1.03 inference(forward_subsumption_resolution,[],[f16201,f98])).
% 2.34/1.03 % SZS output end Proof for theBenchmark
% 2.34/1.03 % (1365477)------------------------------
% 2.34/1.03 % (1365477)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.34/1.03 % (1365477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.34/1.03 % (1365477)CaDiCaL version: 2.1.3
% 2.34/1.03 % (1365477)Termination reason: Refutation
% 2.34/1.03 % (1365477)Time elapsed: 0.245 s
% 2.34/1.03 % (1365477)Peak memory usage: 16 MB
% 2.34/1.03 % (1365477)Instructions burned: 613 (million)
% 2.34/1.03 % (1365432)Success in time 0.605 s
% 2.34/1.03 % Vampire exiting
%------------------------------------------------------------------------------