0.00/0.02 % 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 0.13/0.36 % Computer : n017.cluster.edu 0.13/0.36 % Model : x86_64 x86_64 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.36 % Memory : 8046.5625MB 0.13/0.36 % OS : Linux 6.8.0-71-generic 0.13/0.36 % CPULimit : 1440 0.13/0.36 % WCLimit : 180 0.13/0.36 % DateTime : Mon Jul 27 10:18:22 UTC 2026 0.13/0.36 % CPUTime : 0.13/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.16/0.40 Running first-order theorem proving 0.16/0.40 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 7.81/3.09 % (1247993)Detected formulas, will run a generic FOF schedule. 7.81/3.09 % (1247998)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=562612847:i=141193_1799 on theBenchmark for (1799ds/141193Mi) 7.81/3.09 % (1248001)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1916200791:i=109:sd=1:ins=1:gsp=on:ss=axioms_1799 on theBenchmark for (1799ds/109Mi) 7.81/3.09 % (1248002)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4098675662:i=119:av=off:ss=axioms_1799 on theBenchmark for (1799ds/119Mi) 7.81/3.09 % (1247999)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=3490962835:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_1799 on theBenchmark for (1799ds/134677Mi) 7.81/3.09 % (1248001)Instruction limit reached! 7.81/3.09 % (1248001)------------------------------ 7.81/3.09 % (1248001)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200) 7.81/3.09 % (1248001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 7.81/3.09 % (1248001)CaDiCaL version: 2.1.3 7.81/3.09 % (1248001)Termination reason: Instruction limit 7.81/3.09 % (1248001)Termination phase: Saturation 7.81/3.09 % (1248001)Time elapsed: 0.067 s 7.81/3.09 % (1248001)Peak memory usage: 89 MB 7.81/3.09 % (1248001)Instructions burned: 109 (million) 7.81/3.09 % (1248000)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=987833697:i=141695:sd=1:nm=32:gsp=on:ss=included_1799 on theBenchmark for (1799ds/141695Mi) 7.81/3.09 % (1248003)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3234348658:s2a=on:i=139:gtg=position_1799 on theBenchmark for (1799ds/139Mi) 7.81/3.09 % (1248002)Instruction limit reached! 7.81/3.09 % (1248002)------------------------------ 7.81/3.09 % (1248002)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200) 7.81/3.09 % (1248002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 7.81/3.09 % (1248002)CaDiCaL version: 2.1.3 7.81/3.09 % (1248002)Termination reason: Instruction limit 7.81/3.09 % (1248002)Termination phase: Saturation 7.81/3.09 % (1248002)Time elapsed: 0.085 s 7.81/3.09 % (1248002)Peak memory usage: 88 MB 7.81/3.09 % (1248002)Instructions burned: 119 (million) 7.81/3.09 % (1248004)dis-21_1_sil=8000:lcm=predicate:random_seed=3172988293: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) 7.81/3.09 % (1248003)Instruction limit reached! 7.81/3.09 % (1248003)------------------------------ 7.81/3.09 % (1248003)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200) 7.81/3.09 % (1248003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 7.81/3.09 % (1248003)CaDiCaL version: 2.1.3 7.81/3.09 % (1248003)Termination reason: Instruction limit 7.81/3.09 % (1248003)Termination phase: Saturation 7.81/3.09 % (1248003)Time elapsed: 0.126 s 7.81/3.09 % (1248003)Peak memory usage: 89 MB 7.81/3.09 % (1248003)Instructions burned: 139 (million) 7.81/3.09 % (1248011)lrs+10_1_sil=8000:sp=occurrence:random_seed=3176417846:i=285:sd=3:ss=axioms:sgt=8_1797 on theBenchmark for (1797ds/285Mi) 7.81/3.09 % (1248004)Instruction limit reached! 7.81/3.09 % (1248004)------------------------------ 7.81/3.09 % (1248004)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200) 7.81/3.09 % (1248004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 7.81/3.09 % (1248004)CaDiCaL version: 2.1.3 7.81/3.09 % (1248004)Termination reason: Instruction limit 7.81/3.09 % (1248004)Termination phase: Saturation 7.81/3.09 % (1248004)Time elapsed: 0.117 s 7.81/3.09 % (1248004)Peak memory usage: 89 MB 7.81/3.09 % (1248004)Instructions burned: 130 (million) 7.81/3.09 % (1248012)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1193654018:i=157:sd=1:gtg=position:ss=axioms:sgt=8_1797 on theBenchmark for (1797ds/157Mi) 7.81/3.09 % (1248014)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2921838064:i=325:sd=1:ss=axioms:sgt=32_1796 on theBenchmark for (1796ds/325Mi) 7.81/3.09 % (1248011)Instruction limit reached! 7.81/3.09 % (1248011)------------------------------ 7.81/3.09 % (1248011)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200) 7.81/3.09 % (1248011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 7.81/3.09 % (1248011)CaDiCaL version: 2.1.3 7.81/3.09 % (1248011)Termination reason: Instruction limit 7.81/3.09 % (1248011)Termination phase: Saturation 7.81/3.09 % (1248011)Time elapsed: 0.167 s 7.81/3.09 % (1248011)Peak memory usage: 90 MB 7.81/3.09 % (1248011)Instructions burned: 286 (million) 7.81/3.09 % (1248012)Instruction limit reached! 7.81/3.09 % (1248012)------------------------------ 7.81/3.09 % (1248012)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200) 7.81/3.09 % (1248012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 7.81/3.09 % (1248012)CaDiCaL version: 2.1.3 7.81/3.09 % (1248012)Termination reason: Instruction limit 7.81/3.09 % (1248012)Termination phase: Saturation 7.81/3.09 % (1248012)Time elapsed: 0.128 s 7.81/3.09 % (1248012)Peak memory usage: 89 MB 7.81/3.09 % (1248012)Instructions burned: 158 (million) 7.81/3.09 % (1248016)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=1068140650:s2a=on:i=248:s2at=1.23:gtg=position_1795 on theBenchmark for (1795ds/248Mi) 7.81/3.09 % (1248014)Instruction limit reached! 7.81/3.09 % (1248014)------------------------------ 7.81/3.09 % (1248014)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200) 7.81/3.09 % (1248014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 7.81/3.09 % (1248014)CaDiCaL version: 2.1.3 7.81/3.09 % (1248014)Termination reason: Instruction limit 7.81/3.09 % (1248014)Termination phase: Saturation 7.81/3.09 % (1248014)Time elapsed: 0.146 s 7.81/3.09 % (1248014)Peak memory usage: 90 MB 7.81/3.09 % (1248014)Instructions burned: 326 (million) 7.81/3.09 % (1248019)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3719720391:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_1794 on theBenchmark for (1794ds/294Mi) 7.81/3.09 % (1248016)Instruction limit reached! 7.81/3.09 % (1248016)------------------------------ 7.81/3.09 % (1248016)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200) 7.81/3.09 % (1248016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 7.81/3.09 % (1248016)CaDiCaL version: 2.1.3 7.81/3.09 % (1248016)Termination reason: Instruction limit 7.81/3.09 % (1248016)Termination phase: Saturation 7.81/3.09 % (1248016)Time elapsed: 0.127 s 7.81/3.09 % (1248016)Peak memory usage: 91 MB 7.81/3.09 % (1248016)Instructions burned: 248 (million) 7.81/3.09 % (1248019)Refutation not found, incomplete strategy 7.81/3.09 % (1248019)------------------------------ 7.81/3.09 % (1248019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200) 7.81/3.09 % (1248019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 7.81/3.09 % (1248019)CaDiCaL version: 2.1.3 7.81/3.09 % (1248019)Termination reason: Refutation not found, incomplete strategy 7.81/3.09 % (1248019)Time elapsed: 0.025 s 7.81/3.09 % (1248019)Peak memory usage: 88 MB 7.81/3.09 % (1248019)Instructions burned: 46 (million) 7.81/3.09 % (1248020)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1756764449:i=2350_1794 on theBenchmark for (1794ds/2350Mi) 7.81/3.09 % (1248024)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2842235113:i=127:av=off:fsr=off:sup=off_1792 on theBenchmark for (1792ds/127Mi) 7.81/3.09 % (1248024)Instruction limit reached! 7.81/3.09 % (1248024)------------------------------ 7.81/3.09 % (1248024)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200) 7.81/3.09 % (1248024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 7.81/3.09 % (1248024)CaDiCaL version: 2.1.3 7.81/3.09 % (1248024)Termination reason: Instruction limit 7.81/3.09 % (1248024)Termination phase: Saturation 7.81/3.09 % (1248024)Time elapsed: 0.069 s 7.81/3.09 % (1248024)Peak memory usage: 89 MB 7.81/3.09 % (1248024)Instructions burned: 127 (million) 7.81/3.09 % (1248019)------------------------------ 7.81/3.09 % (1248019)------------------------------ 7.81/3.09 % (1248023)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3650654769:cts=off:i=113:fsr=off:ss=included:sgt=4_1792 on theBenchmark for (1792ds/113Mi) 7.81/3.09 % (1248023)Instruction limit reached! 7.81/3.09 % (1248023)------------------------------ 7.81/3.09 % (1248023)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200) 7.81/3.09 % (1248023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 7.81/3.09 % (1248023)CaDiCaL version: 2.1.3 7.81/3.09 % (1248023)Termination reason: Instruction limit 7.81/3.09 % (1248023)Termination phase: Saturation 7.81/3.09 % (1248023)Time elapsed: 0.055 s 7.81/3.09 % (1248023)Peak memory usage: 88 MB 7.81/3.09 % (1248023)Instructions burned: 113 (million) 7.81/3.09 % (1248027)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1736948052:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_1790 on theBenchmark for (1790ds/114Mi) 7.81/3.09 % (1248028)lrs+10_1_sil=8000:sp=occurrence:random_seed=696527912:st=1.2:i=907:sd=14:ss=axioms:sgt=12_1790 on theBenchmark for (1790ds/907Mi) 7.81/3.09 % (1248027)Instruction limit reached! 7.81/3.09 % (1248027)------------------------------ 7.81/3.09 % (1248027)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200) 7.81/3.09 % (1248027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 7.81/3.09 % (1248027)CaDiCaL version: 2.1.3 7.81/3.09 % (1248027)Termination reason: Instruction limit 7.81/3.09 % (1248027)Termination phase: Saturation 7.81/3.09 % (1248027)Time elapsed: 0.070 s 7.81/3.09 % (1248027)Peak memory usage: 89 MB 7.81/3.09 % (1248027)Instructions burned: 115 (million) 7.81/3.09 % (1248030)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1495154581:i=437:sd=1:aac=none:ss=included_1789 on theBenchmark for (1789ds/437Mi) 7.81/3.09 % (1248033)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2829990835:i=5202:ss=axioms:sgt=16_1788 on theBenchmark for (1788ds/5202Mi) 7.81/3.09 % (1248030)Instruction limit reached! 7.81/3.09 % (1248030)------------------------------ 7.81/3.09 % (1248030)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200) 7.81/3.09 % (1248030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 7.81/3.09 % (1248030)CaDiCaL version: 2.1.3 7.81/3.09 % (1248030)Termination reason: Instruction limit 7.81/3.09 % (1248030)Termination phase: Saturation 7.81/3.09 % (1248030)Time elapsed: 0.322 s 7.81/3.09 % (1248030)Peak memory usage: 89 MB 7.81/3.09 % (1248030)Instructions burned: 438 (million) 7.81/3.09 % (1248028)Instruction limit reached! 7.81/3.09 % (1248028)------------------------------ 7.81/3.09 % (1248028)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200) 7.81/3.09 % (1248028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 7.81/3.09 % (1248028)CaDiCaL version: 2.1.3 7.81/3.09 % (1248028)Termination reason: Instruction limit 7.81/3.09 % (1248028)Termination phase: Saturation 7.81/3.09 % (1248028)Time elapsed: 0.532 s 7.81/3.09 % (1248028)Peak memory usage: 94 MB 7.81/3.09 % (1248028)Instructions burned: 907 (million) 7.81/3.09 % (1248037)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=4017052100:st=8:i=592:sd=3:ep=RST:ss=axioms_1783 on theBenchmark for (1783ds/592Mi) 7.81/3.09 % (1248020)First to succeed. 7.81/3.09 % (1248020)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1247993" 7.81/3.09 % (1248037)Refutation not found, incomplete strategy 7.81/3.09 % (1248037)------------------------------ 7.81/3.09 % (1248037)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200) 7.81/3.09 % (1248037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 7.81/3.09 % (1248037)CaDiCaL version: 2.1.3 7.81/3.09 % (1248037)Termination reason: Refutation not found, incomplete strategy 7.81/3.09 % (1248037)Time elapsed: 0.084 s 7.81/3.09 % (1248037)Peak memory usage: 88 MB 7.81/3.09 % (1248037)Instructions burned: 165 (million) 7.81/3.09 % (1248036)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1980766582:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_1783 on theBenchmark for (1783ds/134Mi) 7.81/3.09 % (1248036)Instruction limit reached! 7.81/3.09 % (1248036)------------------------------ 7.81/3.09 % (1248036)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200) 7.81/3.09 % (1248036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 7.81/3.09 % (1248036)CaDiCaL version: 2.1.3 7.81/3.09 % (1248036)Termination reason: Instruction limit 7.81/3.09 % (1248036)Termination phase: Saturation 7.81/3.09 % (1248036)Time elapsed: 0.103 s 7.81/3.09 % (1248036)Peak memory usage: 88 MB 7.81/3.09 % (1248036)Instructions burned: 134 (million) 7.81/3.09 % (1248033)Also succeeded, but the first one will report. 7.81/3.09 % (1248037)------------------------------ 7.81/3.09 % (1248037)------------------------------ 7.81/3.09 % (1248020)Refutation found. Thanks to Tanya! 0.17/3.31 % SZS status Theorem for theBenchmark 0.17/3.31 % SZS output start Proof for theBenchmark 0.17/3.31 fof(f1,axiom,( 0.17/3.31 ! [X0] : ? [X1] : ! [X2] : ((~id(X2,X1) & ~r2(X0,X2)) | (id(X2,X1) & r2(X0,X2)))), 0.17/3.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2)). 0.17/3.31 fof(f5,axiom,( 0.17/3.31 ! [X0,X1] : (~id(X0,X1) | (r1(X1) & r1(X0)) | (~r1(X0) & ~r1(X1)))), 0.17/3.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8)). 0.17/3.31 fof(f6,axiom,( 0.17/3.31 ! [X0,X1] : (~r2(X0,X1) | ! [X2] : (~id(X2,X1) | ~r1(X2)))), 0.17/3.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7a)). 0.17/3.31 fof(f7,axiom,( 0.17/3.31 ! [X0,X1] : (id(X0,X1) | ! [X2] : (! [X3] : (~r2(X0,X3) | ~id(X3,X2)) | ~r2(X1,X2)))), 0.17/3.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3a)). 0.17/3.31 fof(f10,axiom,( 0.17/3.31 ! [X0] : id(X0,X0)), 0.17/3.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5)). 0.17/3.31 fof(f17,axiom,( 0.17/3.31 ! [X0,X1] : (id(X1,X0) | ~id(X0,X1))), 0.17/3.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6)). 0.17/3.31 fof(f19,conjecture,( 0.17/3.31 ? [X0] : (! [X1] : (! [X2] : (! [X3] : (~r1(X3) | ~r2(X3,X2)) | ~r2(X2,X1)) | ~id(X0,X1)) & ! [X4] : (~r1(X4) | ~id(X0,X4)))), 0.17/3.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nonzerononetwoexistid)). 0.17/3.31 fof(f20,negated_conjecture,( 0.17/3.31 ~? [X0] : (! [X1] : (! [X2] : (! [X3] : (~r1(X3) | ~r2(X3,X2)) | ~r2(X2,X1)) | ~id(X0,X1)) & ! [X4] : (~r1(X4) | ~id(X0,X4)))), 0.17/3.31 inference(negated_conjecture,[status(cth)],[f19])). 0.17/3.31 fof(f21,plain,( 0.17/3.31 ! [X0] : (? [X1] : (? [X2] : (? [X3] : (r1(X3) & r2(X3,X2)) & r2(X2,X1)) & id(X0,X1)) | ? [X4] : (r1(X4) & id(X0,X4)))), 0.17/3.31 inference(ennf_transformation,[],[f20])). 0.17/3.31 fof(f22,plain,( 0.17/3.31 ! [X0] : ! [X2] : ((~id(X2,sK0(X0)) & ~r2(X0,X2)) | (id(X2,sK0(X0)) & r2(X0,X2)))), 0.17/3.31 inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0(X0))],[f1])). 0.17/3.31 fof(f31,plain,( 0.17/3.31 ! [X0] : ((((r1(sK22(X0)) & r2(sK22(X0),sK21(X0))) & r2(sK21(X0),sK20(X0))) & id(X0,sK20(X0))) | (r1(sK23(X0)) & id(X0,sK23(X0))))), 0.17/3.31 inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23]),skolemize(X1,sK20(X0)),skolemize(X2,sK21(X0)),skolemize(X3,sK22(X0)),skolemize(X4,sK23(X0))],[f21])). 0.17/3.31 fof(f33,plain,( 0.17/3.31 ( ! [X2,X0] : (id(X2,sK0(X0)) | ~r2(X0,X2)) )), 0.17/3.31 inference(cnf_transformation,[],[f22])). 0.17/3.31 fof(f34,plain,( 0.17/3.31 ( ! [X2,X0] : (~id(X2,sK0(X0)) | r2(X0,X2)) )), 0.17/3.31 inference(cnf_transformation,[],[f22])). 0.17/3.31 fof(f46,plain,( 0.17/3.31 ( ! [X0,X1] : (~id(X0,X1) | r1(X0) | ~r1(X1)) )), 0.17/3.31 inference(cnf_transformation,[],[f5])). 0.17/3.31 fof(f49,plain,( 0.17/3.31 ( ! [X0,X1] : (~id(X0,X1) | r1(X1) | ~r1(X0)) )), 0.17/3.31 inference(cnf_transformation,[],[f5])). 0.17/3.31 fof(f50,plain,( 0.17/3.31 ( ! [X2,X0,X1] : (~r2(X0,X1) | ~id(X2,X1) | ~r1(X2)) )), 0.17/3.31 inference(cnf_transformation,[],[f6])). 0.17/3.31 fof(f51,plain,( 0.17/3.31 ( ! [X2,X3,X0,X1] : (~r2(X1,X2) | ~r2(X0,X3) | ~id(X3,X2) | id(X0,X1)) )), 0.17/3.31 inference(cnf_transformation,[],[f7])). 0.17/3.31 fof(f60,plain,( 0.17/3.31 ( ! [X0] : (id(X0,X0)) )), 0.17/3.31 inference(cnf_transformation,[],[f10])). 0.17/3.31 fof(f85,plain,( 0.17/3.31 ( ! [X0,X1] : (~id(X0,X1) | id(X1,X0)) )), 0.17/3.31 inference(cnf_transformation,[],[f17])). 0.17/3.31 fof(f90,plain,( 0.17/3.31 ( ! [X0] : (id(X0,sK20(X0)) | id(X0,sK23(X0))) )), 0.17/3.31 inference(cnf_transformation,[],[f31])). 0.17/3.31 fof(f91,plain,( 0.17/3.31 ( ! [X0] : (id(X0,sK20(X0)) | r1(sK23(X0))) )), 0.17/3.31 inference(cnf_transformation,[],[f31])). 0.17/3.31 fof(f92,plain,( 0.17/3.31 ( ! [X0] : (r2(sK21(X0),sK20(X0)) | id(X0,sK23(X0))) )), 0.17/3.31 inference(cnf_transformation,[],[f31])). 0.17/3.31 fof(f93,plain,( 0.17/3.31 ( ! [X0] : (r2(sK21(X0),sK20(X0)) | r1(sK23(X0))) )), 0.17/3.31 inference(cnf_transformation,[],[f31])). 0.17/3.31 fof(f94,plain,( 0.17/3.31 ( ! [X0] : (r2(sK22(X0),sK21(X0)) | id(X0,sK23(X0))) )), 0.17/3.31 inference(cnf_transformation,[],[f31])). 0.17/3.31 fof(f95,plain,( 0.17/3.31 ( ! [X0] : (r2(sK22(X0),sK21(X0)) | r1(sK23(X0))) )), 0.17/3.31 inference(cnf_transformation,[],[f31])). 0.17/3.31 fof(f96,plain,( 0.17/3.31 ( ! [X0] : (id(X0,sK23(X0)) | r1(sK22(X0))) )), 0.17/3.31 inference(cnf_transformation,[],[f31])). 0.17/3.31 fof(f97,plain,( 0.17/3.31 ( ! [X0] : (r1(sK22(X0)) | r1(sK23(X0))) )), 0.17/3.31 inference(cnf_transformation,[],[f31])). 0.17/3.31 fof(f98,plain,( 0.17/3.31 ( ! [X0,X1] : (~id(X1,sK20(X0)) | id(X0,sK23(X0)) | ~r1(X1)) )), 0.17/3.31 inference(resolution,[],[f92,f50])). 0.17/3.31 fof(f99,plain,( 0.17/3.31 ( ! [X0,X1] : (~id(X1,sK21(X0)) | id(X0,sK23(X0)) | ~r1(X1)) )), 0.17/3.31 inference(resolution,[],[f94,f50])). 0.17/3.31 fof(f100,plain,( 0.17/3.31 ( ! [X2,X0,X1] : (~id(X1,sK20(X2)) | ~r2(X0,X1) | id(X0,sK21(X2)) | id(X2,sK23(X2))) )), 0.17/3.31 inference(resolution,[],[f51,f92])). 0.17/3.31 fof(f116,plain,( 0.17/3.31 ( ! [X2,X0,X1] : (~id(X2,sK20(X0)) | ~r2(X1,X2) | r1(sK23(X0)) | id(X1,sK21(X0))) )), 0.17/3.31 inference(resolution,[],[f93,f51])). 0.17/3.31 fof(f119,plain,( 0.17/3.31 ( ! [X0,X1] : (~id(X1,sK21(X0)) | r1(sK23(X0)) | ~r1(X1)) )), 0.17/3.31 inference(resolution,[],[f95,f50])). 0.17/3.31 fof(f125,plain,( 0.17/3.31 ( ! [X0] : (id(X0,sK23(X0)) | ~r1(sK20(X0)) | r1(X0)) )), 0.17/3.31 inference(resolution,[],[f46,f90])). 0.17/3.31 fof(f185,plain,( 0.17/3.31 ( ! [X0] : (id(X0,sK23(X0)) | ~r1(sK21(X0))) )), 0.17/3.31 inference(resolution,[],[f99,f60])). 0.17/3.31 fof(f191,plain,( 0.17/3.31 ( ! [X0] : (r2(X0,sK0(X0))) )), 0.17/3.31 inference(resolution,[],[f34,f60])). 0.17/3.31 fof(f198,plain,( 0.17/3.31 ( ! [X0,X1] : (~id(X0,sK0(X1)) | ~r1(X0)) )), 0.17/3.31 inference(resolution,[],[f191,f50])). 0.17/3.31 fof(f199,plain,( 0.17/3.31 ( ! [X0,X1] : (~r2(X1,X0) | ~r1(X0)) )), 0.17/3.31 inference(resolution,[],[f198,f33])). 0.17/3.31 fof(f205,plain,( 0.17/3.31 ( ! [X0] : (~r1(sK20(X0)) | r1(sK23(X0))) )), 0.17/3.31 inference(resolution,[],[f199,f93])). 0.17/3.31 fof(f207,plain,( 0.17/3.31 ( ! [X0] : (~r1(sK21(X0)) | r1(sK23(X0))) )), 0.17/3.31 inference(resolution,[],[f199,f95])). 0.17/3.31 fof(f229,plain,( 0.17/3.31 ( ! [X0] : (id(X0,sK23(X0)) | ~r1(X0) | id(X0,sK23(X0))) )), 0.17/3.31 inference(resolution,[],[f98,f90])). 0.17/3.31 fof(f236,plain,( 0.17/3.31 ( ! [X0] : (id(X0,sK23(X0)) | ~r1(X0)) )), 0.17/3.31 inference(duplicate_literal_removal,[],[f229])). 0.17/3.31 fof(f241,plain,( 0.17/3.31 ( ! [X0] : (id(sK23(X0),X0) | ~r1(X0)) )), 0.17/3.31 inference(resolution,[],[f236,f85])). 0.17/3.31 fof(f318,plain,( 0.17/3.31 ( ! [X0,X1] : (~r2(X0,X1) | r1(sK23(X1)) | id(X0,sK21(X1)) | r1(sK23(X1))) )), 0.17/3.31 inference(resolution,[],[f116,f91])). 0.17/3.31 fof(f328,plain,( 0.17/3.31 ( ! [X0,X1] : (id(X0,sK21(X1)) | r1(sK23(X1)) | ~r2(X0,X1)) )), 0.17/3.31 inference(duplicate_literal_removal,[],[f318])). 0.17/3.31 fof(f330,plain,( 0.17/3.31 ( ! [X0,X1] : (r1(sK23(X0)) | ~r2(X1,X0) | r1(sK23(X0)) | ~r1(X1)) )), 0.17/3.31 inference(resolution,[],[f328,f119])). 0.17/3.31 fof(f337,plain,( 0.17/3.31 ( ! [X0,X1] : (~r2(X1,X0) | r1(sK23(X0)) | ~r1(X1)) )), 0.17/3.31 inference(duplicate_literal_removal,[],[f330])). 0.17/3.31 fof(f343,plain,( 0.17/3.31 ( ! [X0] : (r1(sK23(sK21(X0))) | ~r1(sK22(X0)) | id(X0,sK23(X0))) )), 0.17/3.31 inference(resolution,[],[f337,f94])). 0.17/3.31 fof(f345,plain,( 0.17/3.31 ( ! [X0] : (r1(sK23(sK21(X0))) | id(X0,sK23(X0))) )), 0.17/3.31 inference(forward_subsumption_resolution,[],[f343,f96])). 0.17/3.31 fof(f424,plain,( 0.17/3.31 ( ! [X0,X1] : (~r2(X0,X1) | id(X0,sK21(X1)) | id(X1,sK23(X1)) | id(X1,sK23(X1))) )), 0.17/3.31 inference(resolution,[],[f100,f90])). 0.17/3.31 fof(f436,plain,( 0.17/3.31 ( ! [X0,X1] : (id(X1,sK23(X1)) | id(X0,sK21(X1)) | ~r2(X0,X1)) )), 0.17/3.31 inference(duplicate_literal_removal,[],[f424])). 0.17/3.31 fof(f440,plain,( 0.17/3.31 ( ! [X0,X1] : (id(X1,sK21(X0)) | ~r2(X1,X0) | r1(X0) | ~r1(sK23(X0))) )), 0.17/3.31 inference(resolution,[],[f436,f46])). 0.17/3.31 fof(f456,plain,( 0.17/3.31 ( ! [X0,X1] : (id(X1,sK21(X0)) | ~r2(X1,X0) | ~r1(sK23(X0))) )), 0.17/3.31 inference(forward_subsumption_resolution,[],[f440,f199])). 0.17/3.31 fof(f458,plain,( 0.17/3.31 ( ! [X0,X1] : (id(X1,sK21(X0)) | ~r2(X1,X0)) )), 0.17/3.31 inference(forward_subsumption_resolution,[],[f456,f328])). 0.17/3.31 fof(f465,plain,( 0.17/3.31 ( ! [X0,X1] : (~r2(X0,X1) | r1(sK21(X1)) | ~r1(X0)) )), 0.17/3.31 inference(resolution,[],[f458,f49])). 0.17/3.31 fof(f471,plain,( 0.17/3.31 ( ! [X0] : (r1(sK21(sK21(X0))) | ~r1(sK22(X0)) | r1(sK23(X0))) )), 0.17/3.31 inference(resolution,[],[f465,f95])). 0.17/3.31 fof(f472,plain,( 0.17/3.31 ( ! [X0] : (r1(sK21(sK21(X0))) | ~r1(sK22(X0)) | id(X0,sK23(X0))) )), 0.17/3.31 inference(resolution,[],[f465,f94])). 0.17/3.31 fof(f474,plain,( 0.17/3.31 ( ! [X0] : (r1(sK21(sK21(X0))) | id(X0,sK23(X0))) )), 0.17/3.31 inference(forward_subsumption_resolution,[],[f472,f96])). 0.17/3.31 fof(f475,plain,( 0.17/3.31 ( ! [X0] : (r1(sK21(sK21(X0))) | r1(sK23(X0))) )), 0.17/3.31 inference(forward_subsumption_resolution,[],[f471,f97])). 0.17/3.31 fof(f679,plain,( 0.17/3.31 ( ! [X0] : (id(sK23(X0),X0) | ~r1(sK21(X0))) )), 0.17/3.31 inference(resolution,[],[f185,f85])). 0.17/3.31 fof(f870,plain,( 0.17/3.31 ( ! [X0] : (~r1(sK20(X0)) | r1(X0) | id(sK23(X0),X0)) )), 0.17/3.31 inference(resolution,[],[f125,f85])). 0.17/3.31 fof(f888,plain,( 0.17/3.31 ( ! [X0] : (id(sK23(X0),X0) | ~r1(sK20(X0))) )), 0.17/3.31 inference(forward_subsumption_resolution,[],[f870,f241])). 0.17/3.31 fof(f901,plain,( 0.17/3.31 ( ! [X0] : (~r1(sK20(sK0(X0))) | ~r1(sK23(sK0(X0)))) )), 0.17/3.31 inference(resolution,[],[f888,f198])). 0.17/3.31 fof(f918,plain,( 0.17/3.31 ( ! [X0] : (~r1(sK20(sK0(X0)))) )), 0.17/3.31 inference(forward_subsumption_resolution,[],[f901,f205])). 0.17/3.31 fof(f1238,plain,( 0.17/3.31 ( ! [X0] : (~r1(sK21(sK21(X0))) | r1(sK23(X0)) | ~r1(sK23(sK21(X0)))) )), 0.17/3.31 inference(resolution,[],[f679,f119])). 0.17/3.31 fof(f1239,plain,( 0.17/3.31 ( ! [X0] : (~r1(sK21(sK21(X0))) | id(X0,sK23(X0)) | ~r1(sK23(sK21(X0)))) )), 0.17/3.31 inference(resolution,[],[f679,f99])). 0.17/3.31 fof(f1241,plain,( 0.17/3.31 ( ! [X0] : (id(X0,sK23(X0)) | ~r1(sK23(sK21(X0)))) )), 0.17/3.31 inference(forward_subsumption_resolution,[],[f1239,f474])). 0.17/3.31 fof(f1242,plain,( 0.17/3.31 ( ! [X0] : (~r1(sK21(sK21(X0))) | r1(sK23(X0))) )), 0.17/3.31 inference(forward_subsumption_resolution,[],[f1238,f207])). 0.17/3.31 fof(f1249,plain,( 0.17/3.31 ( ! [X0] : (id(X0,sK23(X0))) )), 0.17/3.31 inference(forward_subsumption_resolution,[],[f1241,f345])). 0.17/3.31 fof(f1250,plain,( 0.17/3.31 ( ! [X0] : (r1(sK23(X0))) )), 0.17/3.31 inference(forward_subsumption_resolution,[],[f1242,f475])). 0.17/3.31 fof(f1253,plain,( 0.17/3.31 ( ! [X0] : (r1(X0) | ~r1(sK23(X0))) )), 0.17/3.31 inference(resolution,[],[f1249,f46])). 0.17/3.31 fof(f1272,plain,( 0.17/3.31 ( ! [X0] : (r1(X0)) )), 0.17/3.31 inference(forward_subsumption_resolution,[],[f1253,f1250])). 0.17/3.31 fof(f1285,plain,( 0.17/3.31 $false), 0.17/3.31 inference(resolution,[],[f1272,f918])). 0.17/3.31 % SZS output end Proof for theBenchmark 0.17/3.31 % (1248020)------------------------------ 0.17/3.31 % (1248020)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200) 0.17/3.31 % (1248020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.17/3.31 % (1248020)CaDiCaL version: 2.1.3 0.17/3.31 % (1248020)Termination reason: Refutation 0.17/3.31 % (1248020)Time elapsed: 1.073 s 0.17/3.31 % (1248020)Peak memory usage: 130 MB 0.17/3.31 % (1248020)Instructions burned: 1087 (million) 0.17/3.31 % (1248020)------------------------------ 0.17/3.31 % (1248020)------------------------------ 0.17/3.31 % (1247993)Success in time 2.237 s 0.17/3.31 % Vampire exiting 0.17/3.31 EOF