0.00/0.03	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.05	% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM
0.12/0.38	% Computer : n005.cluster.edu
0.12/0.38	% Model    : x86_64 x86_64
0.12/0.38	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.38	% Memory   : 8046.5625MB
0.12/0.38	% OS       : Linux 6.8.0-71-generic
0.12/0.38	% CPULimit : 1440
0.12/0.38	% WCLimit  : 180
0.12/0.38	% DateTime : Mon Jul 27 10:03:20 UTC 2026
0.12/0.38	% CPUTime  : 
0.12/0.38	Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM
0.12/0.42	Running first-order theorem proving
0.12/0.42	Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 180 /export/starexec/sandbox2/benchmark/theBenchmark.p
9.53/2.27	% (2893970)Detected formulas, will run a generic FOF schedule.
9.53/2.27	% (2893977)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3888298715:i=141695:sd=1:nm=32:gsp=on:ss=included_1799 on theBenchmark for (1799ds/141695Mi)
9.53/2.27	% (2893976)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3562713607:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_1799 on theBenchmark for (1799ds/134677Mi)
9.53/2.27	% (2893975)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1407356714:i=141193_1799 on theBenchmark for (1799ds/141193Mi)
9.53/2.27	% (2893978)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3476900647:i=109:sd=1:ins=1:gsp=on:ss=axioms_1799 on theBenchmark for (1799ds/109Mi)
9.53/2.27	% (2893978)Refutation not found, incomplete strategy
9.53/2.27	% (2893978)------------------------------
9.53/2.27	% (2893978)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
9.53/2.27	% (2893978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
9.53/2.27	% (2893978)CaDiCaL version: 2.1.3
9.53/2.27	% (2893978)Termination reason: Refutation not found, incomplete strategy
9.53/2.27	% (2893978)Time elapsed: 0.001 s
9.53/2.27	% (2893978)Peak memory usage: 88 MB
9.53/2.27	% (2893980)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1402201936:s2a=on:i=139:gtg=position_1799 on theBenchmark for (1799ds/139Mi)
9.53/2.27	% (2893981)dis-21_1_sil=8000:lcm=predicate:random_seed=2591316978:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_1799 on theBenchmark for (1799ds/129Mi)
9.53/2.27	% (2893981)Refutation not found, incomplete strategy
9.53/2.27	% (2893981)------------------------------
9.53/2.27	% (2893981)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
9.53/2.27	% (2893981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
9.53/2.27	% (2893981)CaDiCaL version: 2.1.3
9.53/2.27	% (2893981)Termination reason: Refutation not found, incomplete strategy
9.53/2.27	% (2893981)Time elapsed: 0.002 s
9.53/2.27	% (2893981)Peak memory usage: 88 MB
9.53/2.27	% (2893981)Instructions burned: 1 (million)
9.53/2.27	% (2893979)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=856634099:i=119:av=off:ss=axioms_1799 on theBenchmark for (1799ds/119Mi)
9.53/2.27	% (2893980)Instruction limit reached! 
9.53/2.27	% (2893980)------------------------------
9.53/2.27	% (2893980)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
9.53/2.27	% (2893980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
9.53/2.27	% (2893980)CaDiCaL version: 2.1.3
9.53/2.27	% (2893980)Termination reason: Instruction limit
9.53/2.27	% (2893980)Termination phase: Saturation
9.53/2.27	% (2893980)Time elapsed: 0.085 s
9.53/2.27	% (2893980)Peak memory usage: 90 MB
9.53/2.27	% (2893980)Instructions burned: 139 (million)
9.53/2.27	% (2893979)Instruction limit reached! 
9.53/2.27	% (2893979)------------------------------
9.53/2.27	% (2893979)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
9.53/2.27	% (2893979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
9.53/2.27	% (2893979)CaDiCaL version: 2.1.3
9.53/2.27	% (2893979)Termination reason: Instruction limit
9.53/2.27	% (2893979)Termination phase: Saturation
9.53/2.27	% (2893979)Time elapsed: 0.074 s
9.53/2.27	% (2893979)Peak memory usage: 88 MB
9.53/2.27	% (2893979)Instructions burned: 120 (million)
9.53/2.27	% (2893978)------------------------------
9.53/2.27	% (2893978)------------------------------
9.53/2.27	% (2893989)lrs+10_1_sil=8000:sp=occurrence:random_seed=2439779506:i=285:sd=3:ss=axioms:sgt=8_1797 on theBenchmark for (1797ds/285Mi)
9.53/2.27	% (2893981)------------------------------
9.53/2.27	% (2893981)------------------------------
9.53/2.27	% (2893990)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3984853734:i=157:sd=1:gtg=position:ss=axioms:sgt=8_1797 on theBenchmark for (1797ds/157Mi)
9.53/2.27	% (2893977)Refutation not found, incomplete strategy
9.53/2.27	% (2893977)------------------------------
9.53/2.27	% (2893977)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
9.53/2.27	% (2893977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
10.76/2.56	% (2893977)CaDiCaL version: 2.1.3
10.76/2.56	% (2893977)Termination reason: Refutation not found, incomplete strategy
10.76/2.56	% (2893977)Time elapsed: 0.331 s
10.76/2.56	% (2893977)Peak memory usage: 128 MB
10.76/2.56	% (2893977)Instructions burned: 894 (million)
10.76/2.56	% (2893990)Instruction limit reached! 
10.76/2.56	% (2893990)------------------------------
10.76/2.56	% (2893990)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
10.76/2.56	% (2893990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
10.76/2.56	% (2893990)CaDiCaL version: 2.1.3
10.76/2.56	% (2893990)Termination reason: Instruction limit
10.76/2.56	% (2893990)Termination phase: Saturation
10.76/2.56	% (2893990)Time elapsed: 0.081 s
10.76/2.56	% (2893990)Peak memory usage: 89 MB
10.76/2.56	% (2893990)Instructions burned: 157 (million)
10.76/2.56	% (2893992)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3898362837:i=325:sd=1:ss=axioms:sgt=32_1795 on theBenchmark for (1795ds/325Mi)
10.76/2.56	% (2893993)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2466390469:s2a=on:i=248:s2at=1.23:gtg=position_1795 on theBenchmark for (1795ds/248Mi)
10.76/2.56	% (2893989)Instruction limit reached! 
10.76/2.56	% (2893989)------------------------------
10.76/2.56	% (2893989)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
10.76/2.56	% (2893989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
10.76/2.56	% (2893989)CaDiCaL version: 2.1.3
10.76/2.56	% (2893989)Termination reason: Instruction limit
10.76/2.56	% (2893989)Termination phase: Saturation
10.76/2.56	% (2893989)Time elapsed: 0.180 s
10.76/2.56	% (2893989)Peak memory usage: 91 MB
10.76/2.56	% (2893989)Instructions burned: 285 (million)
10.76/2.56	% (2893977)------------------------------
10.76/2.56	% (2893977)------------------------------
10.76/2.56	% (2893995)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1988162177:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_1794 on theBenchmark for (1794ds/294Mi)
10.76/2.56	% (2893995)Refutation not found, incomplete strategy
10.76/2.56	% (2893995)------------------------------
10.76/2.56	% (2893995)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
10.76/2.56	% (2893995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
10.76/2.56	% (2893995)CaDiCaL version: 2.1.3
10.76/2.56	% (2893995)Termination reason: Refutation not found, incomplete strategy
10.76/2.56	% (2893995)Time elapsed: 0.001 s
10.76/2.56	% (2893995)Peak memory usage: 88 MB
10.76/2.56	% (2893995)Instructions burned: 1 (million)
10.76/2.56	% (2893999)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3406731330:cts=off:i=113:fsr=off:ss=included:sgt=4_1793 on theBenchmark for (1793ds/113Mi)
10.76/2.56	% (2893999)Refutation not found, incomplete strategy
10.76/2.56	% (2893999)------------------------------
10.76/2.56	% (2893999)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
10.76/2.56	% (2893999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
10.76/2.56	% (2893999)CaDiCaL version: 2.1.3
10.76/2.56	% (2893999)Termination reason: Refutation not found, incomplete strategy
10.76/2.56	% (2893999)Time elapsed: 0.001 s
10.76/2.56	% (2893999)Peak memory usage: 88 MB
10.76/2.56	% (2893999)Instructions burned: 1 (million)
10.76/2.56	% (2893998)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3625472327:i=2350_1794 on theBenchmark for (1794ds/2350Mi)
10.76/2.56	% (2893993)Instruction limit reached! 
10.76/2.56	% (2893993)------------------------------
10.76/2.56	% (2893993)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
10.76/2.56	% (2893993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
10.76/2.56	% (2893993)CaDiCaL version: 2.1.3
10.76/2.56	% (2893993)Termination reason: Instruction limit
10.76/2.56	% (2893993)Termination phase: Saturation
10.76/2.56	% (2893993)Time elapsed: 0.158 s
10.76/2.56	% (2893993)Peak memory usage: 91 MB
10.76/2.56	% (2893993)Instructions burned: 248 (million)
10.76/2.56	% (2893992)Instruction limit reached! 
10.76/2.56	% (2893992)------------------------------
10.76/2.56	% (2893992)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
10.76/2.56	% (2893992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
10.76/2.56	% (2893992)CaDiCaL version: 2.1.3
10.76/2.56	% (2893992)Termination reason: Instruction limit
10.76/2.56	% (2893992)Termination phase: Saturation
10.76/2.56	% (2893992)Time elapsed: 0.214 s
10.76/2.56	% (2893992)Peak memory usage: 92 MB
10.76/2.56	% (2893992)Instructions burned: 325 (million)
10.76/2.56	% (2893999)------------------------------
10.76/2.56	% (2893999)------------------------------
10.76/2.56	% (2894003)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1713136141:i=127:av=off:fsr=off:sup=off_1792 on theBenchmark for (1792ds/127Mi)
10.76/2.56	% (2894003)Refutation not found, incomplete strategy
10.76/2.56	% (2894003)------------------------------
10.76/2.56	% (2894003)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
10.76/2.56	% (2894003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
10.76/2.56	% (2894003)CaDiCaL version: 2.1.3
10.76/2.56	% (2894003)Termination reason: Refutation not found, incomplete strategy
10.76/2.56	% (2894003)Time elapsed: 0.001 s
10.76/2.56	% (2894003)Peak memory usage: 88 MB
10.76/2.56	% (2893995)------------------------------
10.76/2.56	% (2893995)------------------------------
10.76/2.56	% (2894004)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2600133680:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_1792 on theBenchmark for (1792ds/114Mi)
10.76/2.56	% (2894004)Refutation not found, incomplete strategy
10.76/2.56	% (2894004)------------------------------
10.76/2.56	% (2894004)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
10.76/2.56	% (2894004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
10.76/2.56	% (2894004)CaDiCaL version: 2.1.3
10.76/2.56	% (2894004)Termination reason: Refutation not found, incomplete strategy
10.76/2.56	% (2894004)Time elapsed: 0.001 s
10.76/2.56	% (2894004)Peak memory usage: 88 MB
10.76/2.56	% (2894005)lrs+10_1_sil=8000:sp=occurrence:random_seed=342972969:st=1.2:i=907:sd=14:ss=axioms:sgt=12_1791 on theBenchmark for (1791ds/907Mi)
10.76/2.56	% (2894008)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2188637299:i=437:sd=1:aac=none:ss=included_1790 on theBenchmark for (1790ds/437Mi)
10.76/2.56	% (2894008)Refutation not found, incomplete strategy
10.76/2.56	% (2894008)------------------------------
10.76/2.56	% (2894008)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
10.76/2.56	% (2894008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
10.76/2.56	% (2894008)CaDiCaL version: 2.1.3
10.76/2.56	% (2894008)Termination reason: Refutation not found, incomplete strategy
10.76/2.56	% (2894008)Time elapsed: 0.001 s
10.76/2.56	% (2894008)Peak memory usage: 88 MB
10.76/2.56	% (2894003)------------------------------
10.76/2.56	% (2894003)------------------------------
10.76/2.56	% (2894004)------------------------------
10.76/2.56	% (2894004)------------------------------
10.76/2.56	% (2894005)Instruction limit reached! 
10.76/2.56	% (2894005)------------------------------
10.76/2.56	% (2894005)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
10.76/2.56	% (2894005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
10.76/2.56	% (2894005)CaDiCaL version: 2.1.3
10.76/2.56	% (2894005)Termination reason: Instruction limit
10.76/2.56	% (2894005)Termination phase: Saturation
10.76/2.56	% (2894005)Time elapsed: 0.285 s
10.76/2.56	% (2894005)Peak memory usage: 95 MB
10.76/2.56	% (2894005)Instructions burned: 909 (million)
10.76/2.56	% (2894011)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1489197480:i=5202:ss=axioms:sgt=16_1788 on theBenchmark for (1788ds/5202Mi)
10.76/2.56	% (2894008)------------------------------
10.76/2.56	% (2894008)------------------------------
10.76/2.56	% (2894012)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1577846112:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_1787 on theBenchmark for (1787ds/134Mi)
10.76/2.56	% (2894012)Refutation not found, incomplete strategy
10.76/2.56	% (2894012)------------------------------
10.76/2.56	% (2894012)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
10.76/2.56	% (2894012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
10.76/2.56	% (2894012)CaDiCaL version: 2.1.3
10.76/2.56	% (2894012)Termination reason: Refutation not found, incomplete strategy
10.76/2.56	% (2894012)Time elapsed: 0.002 s
10.76/2.56	% (2894012)Peak memory usage: 89 MB
10.76/2.56	% (2894012)Instructions burned: 1 (million)
10.76/2.56	% (2894013)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3131916203:st=8:i=592:sd=3:ep=RST:ss=axioms_1787 on theBenchmark for (1787ds/592Mi)
10.76/2.56	% (2894013)Refutation not found, incomplete strategy
10.76/2.56	% (2894013)------------------------------
10.76/2.56	% (2894013)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
10.76/2.56	% (2894013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
10.76/2.56	% (2894013)CaDiCaL version: 2.1.3
10.76/2.56	% (2894013)Termination reason: Refutation not found, incomplete strategy
10.76/2.56	% (2894013)Time elapsed: 0.001 s
10.76/2.56	% (2894013)Peak memory usage: 88 MB
10.76/2.56	% (2893975)First to succeed.
10.76/2.56	% (2893975)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2893970"
10.76/2.56	% (2893998)Also succeeded, but the first one will report.
10.76/2.56	% (2894015)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1142131303:st=3:i=13193:sd=3:ss=axioms_1786 on theBenchmark for (1786ds/13193Mi)
10.76/2.56	% (2894013)------------------------------
10.76/2.56	% (2894013)------------------------------
10.76/2.56	% (2894012)------------------------------
10.76/2.56	% (2894012)------------------------------
10.76/2.56	% (2893975)Refutation found. Thanks to Tanya!
10.76/2.56	% SZS status Theorem for theBenchmark
10.76/2.56	% SZS output start Proof for theBenchmark
10.76/2.56	fof(f1,axiom,(
10.76/2.56	  ! [X0] : leq(addition(one,multiplication(star(X0),X0)),star(X0))),
10.76/2.56	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',star_unfold_left)).
10.76/2.56	fof(f2,axiom,(
10.76/2.56	  ! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2))),
10.76/2.56	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_distributivity)).
10.76/2.56	fof(f3,axiom,(
10.76/2.56	  ! [X0,X1,X2] : (leq(addition(multiplication(X0,X1),X2),X1) => leq(multiplication(star(X0),X2),X1))),
10.76/2.56	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',star_induction_left)).
10.76/2.56	fof(f5,axiom,(
10.76/2.56	  ! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0)),
10.76/2.56	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_associativity)).
10.76/2.56	fof(f6,axiom,(
10.76/2.56	  ! [X0] : addition(X0,X0) = X0),
10.76/2.56	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_idempotence)).
10.76/2.56	fof(f7,axiom,(
10.76/2.56	  ! [X0] : multiplication(one,X0) = X0),
10.76/2.56	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_left_identity)).
10.76/2.56	fof(f8,axiom,(
10.76/2.56	  ! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2)),
10.76/2.56	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_associativity)).
10.76/2.56	fof(f9,axiom,(
10.76/2.56	  ! [X0,X1] : addition(X1,X0) = addition(X0,X1)),
10.76/2.56	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_commutativity)).
10.76/2.56	fof(f11,axiom,(
10.76/2.56	  ! [X0,X1] : (addition(X0,X1) = X1 <=> leq(X0,X1))),
10.76/2.56	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',order)).
10.76/2.56	fof(f12,axiom,(
10.76/2.56	  ! [X0,X1,X2] : addition(multiplication(X0,X2),multiplication(X1,X2)) = multiplication(addition(X0,X1),X2)),
10.76/2.56	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_distributivity)).
10.76/2.56	fof(f14,axiom,(
10.76/2.56	  ! [X0] : leq(addition(one,multiplication(X0,star(X0))),star(X0))),
10.76/2.56	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',star_unfold_right)).
10.76/2.56	fof(f15,axiom,(
10.76/2.56	  ! [X0,X1,X2] : (leq(addition(multiplication(X0,X1),X2),X0) => leq(multiplication(X2,star(X1)),X0))),
10.76/2.56	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',star_induction_right)).
10.76/2.56	fof(f16,axiom,(
10.76/2.56	  ! [X0] : X0 = multiplication(X0,one)),
10.76/2.56	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_right_identity)).
10.76/2.56	fof(f17,conjecture,(
10.76/2.56	  leq(multiplication(a,a),star(a))),
10.76/2.56	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a)).
10.76/2.56	fof(f18,negated_conjecture,(
10.76/2.56	  ~leq(multiplication(a,a),star(a))),
10.76/2.56	  inference(negated_conjecture,[status(cth)],[f17])).
10.76/2.56	fof(f19,plain,(
10.76/2.56	  ~leq(multiplication(a,a),star(a))),
10.76/2.56	  inference(flattening,[],[f18])).
10.76/2.56	fof(f20,plain,(
10.76/2.56	  ! [X0,X1,X2] : (leq(multiplication(star(X0),X2),X1) | ~leq(addition(multiplication(X0,X1),X2),X1))),
10.76/2.56	  inference(ennf_transformation,[],[f3])).
10.76/2.56	fof(f21,plain,(
10.76/2.56	  ! [X0,X1,X2] : (leq(multiplication(X2,star(X1)),X0) | ~leq(addition(multiplication(X0,X1),X2),X0))),
10.76/2.56	  inference(ennf_transformation,[],[f15])).
10.76/2.56	fof(f22,plain,(
10.76/2.56	  ! [X0,X1] : ((addition(X0,X1) = X1 | ~leq(X0,X1)) & (leq(X0,X1) | addition(X0,X1) != X1))),
10.76/2.56	  inference(nnf_transformation,[],[f11])).
10.76/2.56	fof(f23,plain,(
10.76/2.56	  ( ! [X0] : (leq(addition(one,multiplication(star(X0),X0)),star(X0))) )),
10.76/2.56	  inference(cnf_transformation,[],[f1])).
10.76/2.56	fof(f24,plain,(
10.76/2.56	  ( ! [X2,X0,X1] : (multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2))) )),
10.76/2.56	  inference(cnf_transformation,[],[f2])).
10.76/2.56	fof(f25,plain,(
10.76/2.56	  ( ! [X2,X0,X1] : (~leq(addition(multiplication(X0,X1),X2),X1) | leq(multiplication(star(X0),X2),X1)) )),
10.76/2.56	  inference(cnf_transformation,[],[f20])).
10.76/2.56	fof(f27,plain,(
10.76/2.56	  ( ! [X2,X0,X1] : (addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0)) )),
10.76/2.56	  inference(cnf_transformation,[],[f5])).
10.76/2.56	fof(f28,plain,(
10.76/2.56	  ( ! [X0] : (addition(X0,X0) = X0) )),
10.76/2.56	  inference(cnf_transformation,[],[f6])).
10.76/2.56	fof(f29,plain,(
10.76/2.56	  ( ! [X0] : (multiplication(one,X0) = X0) )),
10.76/2.56	  inference(cnf_transformation,[],[f7])).
10.76/2.56	fof(f30,plain,(
10.76/2.56	  ( ! [X2,X0,X1] : (multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2)) )),
10.76/2.56	  inference(cnf_transformation,[],[f8])).
10.76/2.56	fof(f31,plain,(
10.76/2.56	  ( ! [X0,X1] : (addition(X1,X0) = addition(X0,X1)) )),
10.76/2.56	  inference(cnf_transformation,[],[f9])).
10.76/2.56	fof(f33,plain,(
10.76/2.56	  ( ! [X0,X1] : (addition(X0,X1) != X1 | leq(X0,X1)) )),
10.76/2.56	  inference(cnf_transformation,[],[f22])).
10.76/2.56	fof(f34,plain,(
10.76/2.56	  ( ! [X0,X1] : (~leq(X0,X1) | addition(X0,X1) = X1) )),
10.76/2.56	  inference(cnf_transformation,[],[f22])).
10.76/2.56	fof(f35,plain,(
10.76/2.56	  ( ! [X2,X0,X1] : (addition(multiplication(X0,X2),multiplication(X1,X2)) = multiplication(addition(X0,X1),X2)) )),
10.76/2.56	  inference(cnf_transformation,[],[f12])).
10.76/2.56	fof(f37,plain,(
10.76/2.56	  ( ! [X0] : (leq(addition(one,multiplication(X0,star(X0))),star(X0))) )),
10.76/2.56	  inference(cnf_transformation,[],[f14])).
10.76/2.56	fof(f38,plain,(
10.76/2.56	  ( ! [X2,X0,X1] : (~leq(addition(multiplication(X0,X1),X2),X0) | leq(multiplication(X2,star(X1)),X0)) )),
10.76/2.56	  inference(cnf_transformation,[],[f21])).
10.76/2.56	fof(f39,plain,(
10.76/2.56	  ( ! [X0] : (multiplication(X0,one) = X0) )),
10.76/2.56	  inference(cnf_transformation,[],[f16])).
10.76/2.56	fof(f40,plain,(
10.76/2.56	  ~leq(multiplication(a,a),star(a))),
10.76/2.56	  inference(cnf_transformation,[],[f19])).
10.76/2.56	fof(f41,definition,(
10.76/2.56	  sF0 = multiplication(a,a)),
10.76/2.56	  introduced(definition,[new_symbols(definition,[sF0])],[function_definition])).
10.76/2.56	fof(f42,plain,(
10.76/2.56	  multiplication(a,a) = sF0),
10.76/2.56	  inference(reorient_equations,[],[f41])).
10.76/2.56	fof(f43,definition,(
10.76/2.56	  sF1 = star(a)),
10.76/2.56	  introduced(definition,[new_symbols(definition,[sF1])],[function_definition])).
10.76/2.56	fof(f44,plain,(
10.76/2.56	  star(a) = sF1),
10.76/2.56	  inference(reorient_equations,[],[f43])).
10.76/2.56	fof(f45,plain,(
10.76/2.56	  ~leq(sF0,sF1)),
10.76/2.56	  inference(definition_folding,[],[f40,f44,f42])).
10.76/2.56	fof(f50,plain,(
10.76/2.56	  ( ! [X0] : (multiplication(addition(X0,a),a) = addition(multiplication(X0,a),sF0)) )),
10.76/2.56	  inference(superposition,[],[f35,f42])).
10.76/2.56	fof(f96,plain,(
10.76/2.56	  ( ! [X2,X0,X1] : (addition(X0,addition(X1,X2)) = addition(X2,addition(X0,X1))) )),
10.76/2.56	  inference(superposition,[],[f31,f27])).
10.76/2.56	fof(f105,plain,(
10.76/2.56	  ( ! [X0,X1] : (addition(X0,X1) = addition(X0,addition(X0,X1))) )),
10.76/2.56	  inference(superposition,[],[f27,f28])).
10.76/2.56	fof(f106,plain,(
10.76/2.56	  ( ! [X0] : (X0 != X0 | leq(X0,X0)) )),
10.76/2.56	  inference(superposition,[],[f33,f28])).
10.76/2.56	fof(f109,plain,(
10.76/2.56	  ( ! [X0,X1] : (addition(X0,X1) = addition(X0,addition(X1,addition(X0,X1)))) )),
10.76/2.56	  inference(superposition,[],[f27,f28])).
10.76/2.56	fof(f110,plain,(
10.76/2.56	  ( ! [X0] : (leq(X0,X0)) )),
10.76/2.56	  inference(trivial_inequality_removal,[],[f106])).
10.76/2.56	fof(f114,plain,(
10.76/2.56	  ( ! [X0,X1] : (addition(X0,X1) = addition(X1,addition(X0,X1))) )),
10.76/2.56	  inference(superposition,[],[f105,f31])).
10.76/2.56	fof(f121,plain,(
10.76/2.56	  ( ! [X0,X1] : (addition(X0,X1) != addition(X0,X1) | leq(X0,addition(X0,X1))) )),
10.76/2.56	  inference(superposition,[],[f33,f105])).
10.76/2.56	fof(f123,plain,(
10.76/2.56	  ( ! [X0,X1] : (leq(X0,addition(X0,X1))) )),
10.76/2.56	  inference(trivial_inequality_removal,[],[f121])).
10.76/2.56	fof(f133,plain,(
10.76/2.56	  ( ! [X0,X1] : (leq(X1,addition(X0,X1))) )),
10.76/2.56	  inference(superposition,[],[f123,f31])).
10.76/2.56	fof(f140,plain,(
10.76/2.56	  ( ! [X0,X1] : (multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0))) )),
10.76/2.56	  inference(superposition,[],[f35,f29])).
10.76/2.56	fof(f174,plain,(
10.76/2.56	  ( ! [X0] : (star(X0) = addition(addition(one,multiplication(star(X0),X0)),star(X0))) )),
12.55/2.76	  inference(resolution,[],[f23,f34])).
12.55/2.76	fof(f176,plain,(
12.55/2.76	  ( ! [X0] : (star(X0) = addition(one,addition(multiplication(star(X0),X0),star(X0)))) )),
12.55/2.76	  inference(forward_demodulation,[],[f174,f27])).
12.55/2.76	fof(f177,plain,(
12.55/2.76	  sF1 = addition(one,addition(multiplication(sF1,a),sF1))),
12.55/2.76	  inference(superposition,[],[f176,f44])).
12.55/2.76	fof(f179,plain,(
12.55/2.76	  ( ! [X0] : (star(X0) = addition(one,addition(star(X0),multiplication(star(X0),X0)))) )),
12.55/2.76	  inference(superposition,[],[f176,f31])).
12.55/2.76	fof(f182,plain,(
12.55/2.76	  ( ! [X0] : (star(X0) = addition(one,star(X0))) )),
12.55/2.76	  inference(superposition,[],[f105,f176])).
12.55/2.76	fof(f186,plain,(
12.55/2.76	  sF1 = addition(one,sF1)),
12.55/2.76	  inference(superposition,[],[f182,f44])).
12.55/2.76	fof(f187,plain,(
12.55/2.76	  ( ! [X0,X1] : (multiplication(star(X0),X1) = addition(X1,multiplication(star(X0),X1))) )),
12.55/2.76	  inference(superposition,[],[f140,f182])).
12.55/2.76	fof(f190,plain,(
12.55/2.76	  ( ! [X0,X1] : (addition(star(X0),X1) = addition(one,addition(star(X0),X1))) )),
12.55/2.76	  inference(superposition,[],[f27,f182])).
12.55/2.76	fof(f196,plain,(
12.55/2.76	  ( ! [X0] : (addition(sF1,X0) = addition(one,addition(sF1,X0))) )),
12.55/2.76	  inference(superposition,[],[f27,f186])).
12.55/2.76	fof(f218,plain,(
12.55/2.76	  ( ! [X0] : (star(X0) = addition(addition(one,multiplication(X0,star(X0))),star(X0))) )),
12.55/2.76	  inference(resolution,[],[f37,f34])).
12.55/2.76	fof(f223,plain,(
12.55/2.76	  ( ! [X0] : (star(X0) = addition(one,addition(multiplication(X0,star(X0)),star(X0)))) )),
12.55/2.76	  inference(forward_demodulation,[],[f218,f27])).
12.55/2.76	fof(f226,plain,(
12.55/2.76	  sF1 = addition(one,addition(multiplication(a,sF1),sF1))),
12.55/2.76	  inference(superposition,[],[f223,f44])).
12.55/2.76	fof(f228,plain,(
12.55/2.76	  ( ! [X0] : (star(X0) = addition(one,addition(star(X0),multiplication(X0,star(X0))))) )),
12.55/2.76	  inference(superposition,[],[f223,f31])).
12.55/2.76	fof(f232,plain,(
12.55/2.76	  ( ! [X0,X1] : (addition(star(X0),X1) = addition(one,addition(addition(multiplication(X0,star(X0)),star(X0)),X1))) )),
12.55/2.76	  inference(superposition,[],[f27,f223])).
12.55/2.76	fof(f234,plain,(
12.55/2.76	  ( ! [X0,X1] : (addition(star(X0),X1) = addition(one,addition(multiplication(X0,star(X0)),addition(star(X0),X1)))) )),
12.55/2.76	  inference(forward_demodulation,[],[f232,f27])).
12.55/2.76	fof(f235,plain,(
12.55/2.76	  ( ! [X0] : (star(X0) = addition(star(X0),multiplication(X0,star(X0)))) )),
12.55/2.76	  inference(forward_demodulation,[],[f228,f190])).
12.55/2.76	fof(f243,plain,(
12.55/2.76	  ( ! [X0,X1] : (multiplication(X0,addition(X1,one)) = addition(multiplication(X0,X1),X0)) )),
12.55/2.76	  inference(superposition,[],[f24,f39])).
12.55/2.76	fof(f244,plain,(
12.55/2.76	  ( ! [X0,X1] : (multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1))) )),
12.55/2.76	  inference(superposition,[],[f24,f39])).
12.55/2.76	fof(f262,plain,(
12.55/2.76	  ( ! [X0] : (multiplication(X0,sF1) = addition(X0,multiplication(X0,sF1))) )),
12.55/2.76	  inference(superposition,[],[f244,f186])).
12.55/2.76	fof(f372,plain,(
12.55/2.76	  ( ! [X2,X0,X1] : (~leq(addition(X0,multiplication(X1,X2)),X2) | leq(multiplication(star(X1),X0),X2)) )),
12.55/2.76	  inference(superposition,[],[f25,f31])).
12.55/2.76	fof(f426,plain,(
12.55/2.76	  sF1 = addition(one,addition(sF1,multiplication(a,sF1)))),
12.55/2.76	  inference(superposition,[],[f226,f31])).
12.55/2.76	fof(f443,plain,(
12.55/2.76	  sF1 = addition(sF1,multiplication(a,sF1))),
12.55/2.76	  inference(forward_demodulation,[],[f426,f196])).
12.55/2.76	fof(f645,plain,(
12.55/2.76	  sF1 = addition(one,addition(sF1,multiplication(sF1,a)))),
12.55/2.76	  inference(superposition,[],[f177,f31])).
12.55/2.76	fof(f662,plain,(
12.55/2.76	  sF1 = addition(sF1,multiplication(sF1,a))),
12.55/2.76	  inference(forward_demodulation,[],[f645,f196])).
12.55/2.76	fof(f930,plain,(
12.55/2.76	  ( ! [X0] : (star(X0) = addition(one,addition(addition(star(X0),multiplication(star(X0),X0)),star(X0)))) )),
12.55/2.76	  inference(superposition,[],[f109,f179])).
12.55/2.76	fof(f961,plain,(
12.55/2.76	  ( ! [X0] : (star(X0) = addition(one,addition(star(X0),addition(multiplication(star(X0),X0),star(X0))))) )),
12.55/2.76	  inference(forward_demodulation,[],[f930,f27])).
12.55/2.76	fof(f988,plain,(
12.55/2.76	  ( ! [X0] : (star(X0) = addition(star(X0),addition(multiplication(star(X0),X0),star(X0)))) )),
12.55/2.76	  inference(forward_demodulation,[],[f961,f190])).
12.55/2.76	fof(f994,plain,(
12.55/2.76	  ( ! [X0] : (star(X0) = addition(multiplication(star(X0),X0),star(X0))) )),
12.55/2.76	  inference(forward_demodulation,[],[f988,f114])).
12.55/2.76	fof(f1529,plain,(
12.55/2.76	  ( ! [X0] : (star(X0) = multiplication(addition(one,X0),star(X0))) )),
12.55/2.76	  inference(superposition,[],[f140,f235])).
12.55/2.76	fof(f1568,plain,(
12.55/2.76	  star(sF1) = multiplication(sF1,star(sF1))),
12.55/2.76	  inference(superposition,[],[f1529,f186])).
12.55/2.76	fof(f1569,plain,(
12.55/2.76	  sF1 = multiplication(addition(one,a),sF1)),
12.55/2.76	  inference(superposition,[],[f1529,f44])).
12.55/2.76	fof(f1574,plain,(
12.55/2.76	  ( ! [X0,X1] : (multiplication(star(X0),X1) = multiplication(addition(one,X0),multiplication(star(X0),X1))) )),
12.55/2.76	  inference(superposition,[],[f30,f1529])).
12.55/2.76	fof(f1620,plain,(
12.55/2.76	  ~leq(sF1,sF1) | leq(multiplication(star(a),sF1),sF1)),
12.55/2.76	  inference(superposition,[],[f372,f443])).
12.55/2.76	fof(f1638,plain,(
12.55/2.76	  leq(multiplication(star(a),sF1),sF1)),
12.55/2.76	  inference(forward_subsumption_resolution,[],[f1620,f110])).
12.55/2.76	fof(f1643,plain,(
12.55/2.76	  leq(multiplication(sF1,sF1),sF1)),
12.55/2.76	  inference(forward_demodulation,[],[f1638,f44])).
12.55/2.76	fof(f1653,plain,(
12.55/2.76	  sF1 = addition(multiplication(sF1,sF1),sF1)),
12.55/2.76	  inference(resolution,[],[f1643,f34])).
12.55/2.76	fof(f2075,plain,(
12.55/2.76	  leq(multiplication(sF1,a),sF1)),
12.55/2.76	  inference(superposition,[],[f133,f662])).
12.55/2.76	fof(f3218,plain,(
12.55/2.76	  ( ! [X0] : (star(X0) = multiplication(star(X0),addition(X0,one))) )),
12.55/2.76	  inference(superposition,[],[f243,f994])).
12.55/2.76	fof(f3253,plain,(
12.55/2.76	  ( ! [X0] : (star(X0) = addition(addition(X0,one),star(X0))) )),
12.55/2.76	  inference(superposition,[],[f187,f3218])).
12.55/2.76	fof(f3283,plain,(
12.55/2.76	  ( ! [X0] : (star(X0) = addition(X0,addition(one,star(X0)))) )),
12.55/2.76	  inference(forward_demodulation,[],[f3253,f27])).
12.55/2.76	fof(f3289,plain,(
12.55/2.76	  ( ! [X0] : (star(X0) = addition(X0,star(X0))) )),
12.55/2.76	  inference(forward_demodulation,[],[f3283,f182])).
12.55/2.76	fof(f3597,plain,(
12.55/2.76	  ~leq(sF1,sF1) | leq(multiplication(sF1,star(sF1)),sF1)),
12.55/2.76	  inference(superposition,[],[f38,f1653])).
12.55/2.76	fof(f3606,plain,(
12.55/2.76	  ( ! [X0] : (addition(X0,sF1) = addition(multiplication(sF1,sF1),addition(sF1,X0))) )),
12.55/2.76	  inference(superposition,[],[f96,f1653])).
12.55/2.76	fof(f3624,plain,(
12.55/2.76	  leq(multiplication(sF1,star(sF1)),sF1)),
12.55/2.76	  inference(forward_subsumption_resolution,[],[f3597,f110])).
12.55/2.76	fof(f3630,plain,(
12.55/2.76	  leq(star(sF1),sF1)),
12.55/2.76	  inference(forward_demodulation,[],[f3624,f1568])).
12.55/2.76	fof(f3654,plain,(
12.55/2.76	  sF1 = addition(star(sF1),sF1)),
12.55/2.76	  inference(resolution,[],[f3630,f34])).
12.55/2.76	fof(f3661,plain,(
12.55/2.76	  sF1 = addition(sF1,star(sF1))),
12.55/2.76	  inference(superposition,[],[f31,f3654])).
12.55/2.76	fof(f3679,plain,(
12.55/2.76	  sF1 = star(sF1)),
12.55/2.76	  inference(forward_demodulation,[],[f3661,f3289])).
12.55/2.76	fof(f3700,plain,(
12.55/2.76	  ( ! [X0] : (addition(sF1,X0) = addition(one,addition(multiplication(sF1,sF1),addition(sF1,X0)))) )),
12.55/2.76	  inference(superposition,[],[f234,f3679])).
12.55/2.76	fof(f3720,plain,(
12.55/2.76	  ( ! [X0] : (addition(sF1,X0) = addition(one,addition(X0,sF1))) )),
12.55/2.76	  inference(forward_demodulation,[],[f3700,f3606])).
12.55/2.76	fof(f5215,plain,(
12.55/2.76	  sF1 = addition(addition(one,a),sF1)),
12.55/2.76	  inference(superposition,[],[f262,f1569])).
12.55/2.76	fof(f5247,plain,(
12.55/2.76	  sF1 = addition(one,addition(a,sF1))),
12.55/2.76	  inference(forward_demodulation,[],[f5215,f27])).
12.55/2.76	fof(f5253,plain,(
12.55/2.76	  sF1 = addition(sF1,a)),
12.55/2.76	  inference(forward_demodulation,[],[f5247,f3720])).
12.55/2.76	fof(f5262,plain,(
12.55/2.76	  multiplication(sF1,a) = addition(multiplication(sF1,a),sF0)),
12.55/2.76	  inference(superposition,[],[f50,f5253])).
12.55/2.76	fof(f7077,plain,(
12.55/2.76	  ~leq(multiplication(sF1,a),sF1) | leq(multiplication(sF0,star(a)),sF1)),
12.55/2.76	  inference(superposition,[],[f38,f5262])).
12.55/2.76	fof(f7118,plain,(
12.55/2.76	  leq(multiplication(sF0,star(a)),sF1)),
12.55/2.76	  inference(forward_subsumption_resolution,[],[f7077,f2075])).
12.55/2.76	fof(f7134,plain,(
12.55/2.76	  leq(multiplication(sF0,sF1),sF1)),
12.55/2.76	  inference(forward_demodulation,[],[f7118,f44])).
12.55/2.76	fof(f7136,plain,(
12.55/2.76	  sF1 = addition(multiplication(sF0,sF1),sF1)),
12.55/2.76	  inference(resolution,[],[f7134,f34])).
12.55/2.76	fof(f7142,plain,(
12.55/2.76	  ~leq(sF1,sF1) | leq(multiplication(star(sF0),sF1),sF1)),
12.55/2.76	  inference(superposition,[],[f25,f7136])).
12.55/2.76	fof(f7192,plain,(
12.55/2.76	  leq(multiplication(star(sF0),sF1),sF1)),
12.55/2.76	  inference(forward_subsumption_resolution,[],[f7142,f110])).
12.55/2.76	fof(f7197,plain,(
12.55/2.76	  sF1 = addition(multiplication(star(sF0),sF1),sF1)),
12.55/2.76	  inference(resolution,[],[f7192,f34])).
12.55/2.76	fof(f7239,plain,(
12.55/2.76	  sF1 = addition(sF1,multiplication(star(sF0),sF1))),
12.55/2.76	  inference(superposition,[],[f31,f7197])).
12.55/2.76	fof(f7266,plain,(
12.55/2.76	  sF1 = multiplication(star(sF0),sF1)),
12.55/2.76	  inference(forward_demodulation,[],[f7239,f187])).
12.55/2.76	fof(f8162,plain,(
12.55/2.76	  sF1 = multiplication(addition(one,sF0),sF1)),
12.55/2.76	  inference(superposition,[],[f1574,f7266])).
12.55/2.76	fof(f8318,plain,(
12.55/2.76	  sF1 = addition(addition(one,sF0),sF1)),
12.55/2.76	  inference(superposition,[],[f262,f8162])).
12.55/2.76	fof(f8353,plain,(
12.55/2.76	  sF1 = addition(one,addition(sF0,sF1))),
12.55/2.76	  inference(forward_demodulation,[],[f8318,f27])).
12.55/2.76	fof(f8358,plain,(
12.55/2.76	  sF1 = addition(sF1,sF0)),
12.55/2.76	  inference(forward_demodulation,[],[f8353,f3720])).
12.55/2.76	fof(f8379,plain,(
12.55/2.76	  leq(sF0,sF1)),
12.55/2.76	  inference(superposition,[],[f133,f8358])).
12.55/2.76	fof(f8388,plain,(
12.55/2.76	  $false),
12.55/2.76	  inference(forward_subsumption_resolution,[],[f8379,f45])).
12.55/2.76	% SZS output end Proof for theBenchmark
12.55/2.76	% (2893975)------------------------------
12.55/2.76	% (2893975)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
12.55/2.76	% (2893975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
12.55/2.76	% (2893975)CaDiCaL version: 2.1.3
12.55/2.76	% (2893975)Termination reason: Refutation
12.55/2.76	% (2893975)Time elapsed: 1.269 s
12.55/2.76	% (2893975)Peak memory usage: 138 MB
12.55/2.76	% (2893975)Instructions burned: 1987 (million)
12.55/2.76	% (2893975)------------------------------
12.55/2.76	% (2893975)------------------------------
12.55/2.76	% (2893970)Success in time 1.693 s
12.55/2.76	% Vampire exiting
12.55/2.76	EOF