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 0.12/0.39 % Computer : n026.cluster.edu 0.12/0.39 % Model : x86_64 x86_64 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.39 % Memory : 8046.5625MB 0.12/0.39 % OS : Linux 6.8.0-71-generic 0.12/0.39 % CPULimit : 1440 0.12/0.39 % WCLimit : 180 0.12/0.39 % DateTime : Mon Jul 27 10:32:50 UTC 2026 0.12/0.39 % CPUTime : 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.12/0.44 Running first-order theorem proving 0.12/0.44 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 10.53/2.83 % (2583980)Detected formulas, will run a generic FOF schedule. 10.53/2.83 % (2583989)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=792641104:i=119:av=off:ss=axioms_1799 on theBenchmark for (1799ds/119Mi) 10.53/2.83 % (2583991)dis-21_1_sil=8000:lcm=predicate:random_seed=583898353: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) 10.53/2.83 % (2583989)Instruction limit reached! 10.53/2.83 % (2583989)------------------------------ 10.53/2.83 % (2583989)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200) 10.53/2.83 % (2583989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 10.53/2.83 % (2583989)CaDiCaL version: 2.1.3 10.53/2.83 % (2583989)Termination reason: Instruction limit 10.53/2.83 % (2583989)Termination phase: Saturation 10.53/2.83 % (2583989)Time elapsed: 0.061 s 10.53/2.83 % (2583989)Peak memory usage: 88 MB 10.53/2.83 % (2583989)Instructions burned: 121 (million) 10.53/2.83 % (2583986)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=2587574226:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_1799 on theBenchmark for (1799ds/134677Mi) 10.53/2.83 % (2583988)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=518367305:i=109:sd=1:ins=1:gsp=on:ss=axioms_1799 on theBenchmark for (1799ds/109Mi) 10.53/2.83 % (2583985)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=589833641:i=141193_1799 on theBenchmark for (1799ds/141193Mi) 10.53/2.83 % (2583987)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=2753718533:i=141695:sd=1:nm=32:gsp=on:ss=included_1799 on theBenchmark for (1799ds/141695Mi) 10.53/2.83 % (2583988)Refutation not found, incomplete strategy 10.53/2.83 % (2583988)------------------------------ 10.53/2.83 % (2583988)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200) 10.53/2.83 % (2583988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 10.53/2.83 % (2583988)CaDiCaL version: 2.1.3 10.53/2.83 % (2583988)Termination reason: Refutation not found, incomplete strategy 10.53/2.83 % (2583988)Time elapsed: 0.002 s 10.53/2.83 % (2583988)Peak memory usage: 88 MB 10.53/2.83 % (2583991)Instruction limit reached! 10.53/2.83 % (2583991)------------------------------ 10.53/2.83 % (2583991)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200) 10.53/2.83 % (2583991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 10.53/2.83 % (2583991)CaDiCaL version: 2.1.3 10.53/2.83 % (2583991)Termination reason: Instruction limit 10.53/2.83 % (2583991)Termination phase: Saturation 10.53/2.83 % (2583991)Time elapsed: 0.097 s 10.53/2.83 % (2583991)Peak memory usage: 89 MB 10.53/2.83 % (2583991)Instructions burned: 130 (million) 10.53/2.83 % (2583990)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3256775897:s2a=on:i=139:gtg=position_1799 on theBenchmark for (1799ds/139Mi) 10.53/2.83 % (2583994)lrs+10_1_sil=8000:sp=occurrence:random_seed=2097668960:i=285:sd=3:ss=axioms:sgt=8_1797 on theBenchmark for (1797ds/285Mi) 10.53/2.83 % (2583990)Instruction limit reached! 10.53/2.83 % (2583990)------------------------------ 10.53/2.83 % (2583990)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200) 10.53/2.83 % (2583990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 10.53/2.83 % (2583990)CaDiCaL version: 2.1.3 10.53/2.83 % (2583990)Termination reason: Instruction limit 10.53/2.83 % (2583990)Termination phase: Saturation 10.53/2.83 % (2583990)Time elapsed: 0.135 s 10.53/2.83 % (2583990)Peak memory usage: 89 MB 10.53/2.83 % (2583990)Instructions burned: 139 (million) 10.53/2.83 % (2583999)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1373249693:i=157:sd=1:gtg=position:ss=axioms:sgt=8_1797 on theBenchmark for (1797ds/157Mi) 10.53/2.83 % (2583999)Instruction limit reached! 10.53/2.83 % (2583999)------------------------------ 10.53/2.83 % (2583999)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200) 10.53/2.83 % (2583999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 10.53/2.83 % (2583999)CaDiCaL version: 2.1.3 10.53/2.83 % (2583999)Termination reason: Instruction limit 10.53/2.83 % (2583999)Termination phase: Saturation 10.53/2.83 % (2583999)Time elapsed: 0.098 s 10.53/2.83 % (2583999)Peak memory usage: 90 MB 10.53/2.83 % (2583999)Instructions burned: 157 (million) 10.53/2.83 % (2583994)Instruction limit reached! 10.53/2.83 % (2583994)------------------------------ 10.53/2.83 % (2583994)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200) 10.53/2.83 % (2583994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 10.53/2.83 % (2583994)CaDiCaL version: 2.1.3 10.53/2.83 % (2583994)Termination reason: Instruction limit 10.53/2.83 % (2583994)Termination phase: Saturation 10.53/2.83 % (2583994)Time elapsed: 0.147 s 10.53/2.83 % (2583994)Peak memory usage: 90 MB 10.53/2.83 % (2583994)Instructions burned: 287 (million) 10.53/2.83 % (2583988)------------------------------ 10.53/2.83 % (2583988)------------------------------ 10.53/2.83 % (2584002)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1070268:i=325:sd=1:ss=axioms:sgt=32_1795 on theBenchmark for (1795ds/325Mi) 10.53/2.83 % (2584004)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=2549252075:s2a=on:i=248:s2at=1.23:gtg=position_1794 on theBenchmark for (1794ds/248Mi) 10.53/2.83 % (2584002)Instruction limit reached! 10.53/2.83 % (2584002)------------------------------ 10.53/2.83 % (2584002)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200) 10.53/2.83 % (2584002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 10.53/2.83 % (2584002)CaDiCaL version: 2.1.3 10.53/2.83 % (2584002)Termination reason: Instruction limit 10.53/2.83 % (2584002)Termination phase: Saturation 10.53/2.83 % (2584002)Time elapsed: 0.153 s 10.53/2.83 % (2584002)Peak memory usage: 90 MB 10.53/2.83 % (2584002)Instructions burned: 326 (million) 10.53/2.83 % (2584005)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4113810112:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_1794 on theBenchmark for (1794ds/294Mi) 10.53/2.83 % (2584005)Refutation not found, incomplete strategy 10.53/2.83 % (2584005)------------------------------ 10.53/2.83 % (2584005)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200) 10.53/2.83 % (2584005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 10.53/2.83 % (2584005)CaDiCaL version: 2.1.3 10.53/2.83 % (2584005)Termination reason: Refutation not found, incomplete strategy 10.53/2.83 % (2584005)Time elapsed: 0.002 s 10.53/2.83 % (2584005)Peak memory usage: 88 MB 10.53/2.83 % (2584005)Instructions burned: 1 (million) 10.53/2.83 % (2584004)Instruction limit reached! 10.53/2.83 % (2584004)------------------------------ 10.53/2.83 % (2584004)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200) 10.53/2.83 % (2584004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 10.53/2.83 % (2584004)CaDiCaL version: 2.1.3 10.53/2.83 % (2584004)Termination reason: Instruction limit 10.53/2.83 % (2584004)Termination phase: Saturation 10.53/2.83 % (2584004)Time elapsed: 0.154 s 10.53/2.83 % (2584004)Peak memory usage: 90 MB 10.53/2.83 % (2584004)Instructions burned: 251 (million) 10.53/2.83 % (2584007)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3176299510:i=2350_1793 on theBenchmark for (1793ds/2350Mi) 10.53/2.83 % (2584009)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3876714432:cts=off:i=113:fsr=off:ss=included:sgt=4_1792 on theBenchmark for (1792ds/113Mi) 10.53/2.83 % (2584009)Refutation not found, incomplete strategy 10.53/2.83 % (2584009)------------------------------ 10.53/2.83 % (2584009)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200) 10.53/2.83 % (2584009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 10.53/2.83 % (2584009)CaDiCaL version: 2.1.3 10.53/2.83 % (2584009)Termination reason: Refutation not found, incomplete strategy 10.53/2.83 % (2584009)Time elapsed: 0.001 s 10.53/2.83 % (2584009)Peak memory usage: 88 MB 10.53/2.83 % (2584011)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2897592612:i=127:av=off:fsr=off:sup=off_1791 on theBenchmark for (1791ds/127Mi) 10.53/2.83 % (2584011)Refutation not found, incomplete strategy 10.53/2.83 % (2584011)------------------------------ 10.53/2.83 % (2584011)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200) 10.53/2.83 % (2584011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 10.53/2.83 % (2584011)CaDiCaL version: 2.1.3 10.53/2.83 % (2584011)Termination reason: Refutation not found, incomplete strategy 13.60/3.04 % (2584011)Time elapsed: 0.001 s 13.60/3.04 % (2584011)Peak memory usage: 88 MB 13.60/3.04 % (2583987)Refutation not found, incomplete strategy 13.60/3.04 % (2583987)------------------------------ 13.60/3.04 % (2583987)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200) 13.60/3.04 % (2583987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 13.60/3.04 % (2583987)CaDiCaL version: 2.1.3 13.60/3.04 % (2583987)Termination reason: Refutation not found, incomplete strategy 13.60/3.04 % (2583987)Time elapsed: 0.930 s 13.60/3.04 % (2583987)Peak memory usage: 127 MB 13.60/3.04 % (2583987)Instructions burned: 884 (million) 13.60/3.04 % (2584009)------------------------------ 13.60/3.04 % (2584009)------------------------------ 13.60/3.04 % (2584005)------------------------------ 13.60/3.04 % (2584005)------------------------------ 13.60/3.04 % (2584011)------------------------------ 13.60/3.04 % (2584011)------------------------------ 13.60/3.04 % (2584015)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3982152217:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_1788 on theBenchmark for (1788ds/114Mi) 13.60/3.04 % (2584015)Refutation not found, incomplete strategy 13.60/3.04 % (2584015)------------------------------ 13.60/3.04 % (2584015)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200) 13.60/3.04 % (2584015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 13.60/3.04 % (2584015)CaDiCaL version: 2.1.3 13.60/3.04 % (2584015)Termination reason: Refutation not found, incomplete strategy 13.60/3.04 % (2584015)Time elapsed: 0.001 s 13.60/3.04 % (2584015)Peak memory usage: 88 MB 13.60/3.04 % (2584017)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=984450733:i=437:sd=1:aac=none:ss=included_1787 on theBenchmark for (1787ds/437Mi) 13.60/3.04 % (2584017)Refutation not found, incomplete strategy 13.60/3.04 % (2584017)------------------------------ 13.60/3.04 % (2584017)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200) 13.60/3.04 % (2584017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 13.60/3.04 % (2584017)CaDiCaL version: 2.1.3 13.60/3.04 % (2584017)Termination reason: Refutation not found, incomplete strategy 13.60/3.04 % (2584017)Time elapsed: 0.002 s 13.60/3.04 % (2584017)Peak memory usage: 88 MB 13.60/3.04 % (2584016)lrs+10_1_sil=8000:sp=occurrence:random_seed=225615303:st=1.2:i=907:sd=14:ss=axioms:sgt=12_1787 on theBenchmark for (1787ds/907Mi) 13.60/3.04 % (2583985)First to succeed. 13.60/3.04 % (2583985)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2583980" 13.60/3.04 % (2583987)------------------------------ 13.60/3.04 % (2583987)------------------------------ 13.60/3.04 % (2583986)Also succeeded, but the first one will report. 13.60/3.04 % (2584015)------------------------------ 13.60/3.04 % (2584015)------------------------------ 13.60/3.04 % (2584017)------------------------------ 13.60/3.04 % (2584017)------------------------------ 13.60/3.04 % (2584021)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1154082005:i=5202:ss=axioms:sgt=16_1784 on theBenchmark for (1784ds/5202Mi) 13.60/3.04 % (2584022)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3217633763:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_1783 on theBenchmark for (1783ds/134Mi) 13.60/3.04 % (2583985)Refutation found. Thanks to Tanya! 13.60/3.04 % SZS status Theorem for theBenchmark 13.60/3.04 % SZS output start Proof for theBenchmark 13.60/3.04 fof(f1,axiom,( 13.60/3.04 ! [X0,X1,X2] : '+'(X0,'+'(X1,X2)) = '+'('+'(X0,X1),X2)), 13.60/3.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_01)). 13.60/3.04 fof(f2,axiom,( 13.60/3.04 ! [X0] : '+'(X0,'0') = X0), 13.60/3.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_03)). 13.60/3.04 fof(f3,axiom,( 13.60/3.04 ! [X0] : '>='(X0,'0')), 13.60/3.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_08)). 13.60/3.04 fof(f4,axiom,( 13.60/3.04 ! [X0] : '+'(X0,X0) = X0), 13.60/3.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_14)). 13.60/3.04 fof(f7,axiom,( 13.60/3.04 ! [X0,X1] : '+'(X1,X0) = '+'(X0,X1)), 13.60/3.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_02)). 13.60/3.04 fof(f8,axiom,( 13.60/3.04 ! [X0,X1] : '==>'('==>'(X1,X0),X0) = '==>'('==>'(X0,X1),X1)), 13.60/3.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_13)). 13.60/3.04 fof(f9,conjecture,( 13.60/3.04 ! [X0] : '0' = '==>'('==>'('==>'(X0,'1'),X0),X0)), 13.60/3.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_15)). 13.60/3.04 fof(f10,negated_conjecture,( 13.60/3.04 ~! [X0] : '0' = '==>'('==>'('==>'(X0,'1'),X0),X0)), 13.60/3.04 inference(negated_conjecture,[status(cth)],[f9])). 13.60/3.04 fof(f11,axiom,( 13.60/3.04 ! [X0] : '>='(X0,X0)), 13.60/3.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_04)). 13.60/3.04 fof(f13,axiom,( 13.60/3.04 ! [X0,X1,X2] : ('>='(X1,'==>'(X0,X2)) <=> '>='('+'(X0,X1),X2))), 13.60/3.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_07)). 13.60/3.04 fof(f15,axiom,( 13.60/3.04 ! [X0,X1] : (('>='(X0,X1) & '>='(X1,X0)) => X1 = X0)), 13.60/3.04 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_06)). 13.60/3.04 fof(f19,plain,( 13.60/3.04 ? [X0] : '0' != '==>'('==>'('==>'(X0,'1'),X0),X0)), 13.60/3.04 inference(ennf_transformation,[],[f10])). 13.60/3.04 fof(f22,plain,( 13.60/3.04 ! [X0,X1] : (X1 = X0 | (~'>='(X0,X1) | ~'>='(X1,X0)))), 13.60/3.04 inference(ennf_transformation,[],[f15])). 13.60/3.04 fof(f23,plain,( 13.60/3.04 ! [X0,X1] : (X1 = X0 | ~'>='(X0,X1) | ~'>='(X1,X0))), 13.60/3.04 inference(flattening,[],[f22])). 13.60/3.04 fof(f25,plain,( 13.60/3.04 '0' != '==>'('==>'('==>'(sK0,'1'),sK0),sK0)), 13.60/3.04 inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f19])). 13.60/3.04 fof(f26,plain,( 13.60/3.04 ! [X0,X1,X2] : (('>='(X1,'==>'(X0,X2)) | ~'>='('+'(X0,X1),X2)) & ('>='('+'(X0,X1),X2) | ~'>='(X1,'==>'(X0,X2))))), 13.60/3.04 inference(nnf_transformation,[],[f13])). 13.60/3.04 fof(f27,plain,( 13.60/3.04 ( ! [X2,X0,X1] : ('+'(X0,'+'(X1,X2)) = '+'('+'(X0,X1),X2)) )), 13.60/3.04 inference(cnf_transformation,[],[f1])). 13.60/3.04 fof(f28,plain,( 13.60/3.04 ( ! [X0] : ('+'(X0,'0') = X0) )), 13.60/3.04 inference(cnf_transformation,[],[f2])). 13.60/3.04 fof(f29,plain,( 13.60/3.04 ( ! [X0] : ('>='(X0,'0')) )), 13.60/3.04 inference(cnf_transformation,[],[f3])). 13.60/3.04 fof(f30,plain,( 13.60/3.04 ( ! [X0] : ('+'(X0,X0) = X0) )), 13.60/3.04 inference(cnf_transformation,[],[f4])). 13.60/3.04 fof(f33,plain,( 13.60/3.04 ( ! [X0,X1] : ('+'(X0,X1) = '+'(X1,X0)) )), 13.60/3.04 inference(cnf_transformation,[],[f7])). 13.60/3.04 fof(f34,plain,( 13.60/3.04 ( ! [X0,X1] : ('==>'('==>'(X1,X0),X0) = '==>'('==>'(X0,X1),X1)) )), 13.60/3.04 inference(cnf_transformation,[],[f8])). 13.60/3.04 fof(f35,plain,( 13.60/3.04 '0' != '==>'('==>'('==>'(sK0,'1'),sK0),sK0)), 13.60/3.04 inference(cnf_transformation,[],[f25])). 13.60/3.04 fof(f36,plain,( 13.60/3.04 ( ! [X0] : ('>='(X0,X0)) )), 13.60/3.04 inference(cnf_transformation,[],[f11])). 13.60/3.04 fof(f38,plain,( 13.60/3.04 ( ! [X2,X0,X1] : (~'>='(X1,'==>'(X0,X2)) | '>='('+'(X0,X1),X2)) )), 13.60/3.04 inference(cnf_transformation,[],[f26])). 13.60/3.04 fof(f39,plain,( 13.60/3.04 ( ! [X2,X0,X1] : (~'>='('+'(X0,X1),X2) | '>='(X1,'==>'(X0,X2))) )), 13.60/3.04 inference(cnf_transformation,[],[f26])). 13.60/3.04 fof(f41,plain,( 13.60/3.04 ( ! [X0,X1] : (~'>='(X1,X0) | ~'>='(X0,X1) | X0 = X1) )), 13.60/3.04 inference(cnf_transformation,[],[f23])). 13.60/3.04 fof(f43,definition,( 13.60/3.04 sF1 = '==>'(sK0,'1')), 13.60/3.04 introduced(definition,[new_symbols(definition,[sF1])],[function_definition])). 13.60/3.04 fof(f44,plain,( 13.60/3.04 '==>'(sK0,'1') = sF1), 13.60/3.04 inference(reorient_equations,[],[f43])). 13.60/3.04 fof(f45,definition,( 13.60/3.04 sF2 = '==>'(sF1,sK0)), 13.60/3.04 introduced(definition,[new_symbols(definition,[sF2])],[function_definition])). 13.60/3.04 fof(f46,plain,( 13.60/3.04 '==>'(sF1,sK0) = sF2), 13.60/3.04 inference(reorient_equations,[],[f45])). 13.60/3.04 fof(f47,definition,( 13.60/3.04 sF3 = '==>'(sF2,sK0)), 13.60/3.04 introduced(definition,[new_symbols(definition,[sF3])],[function_definition])). 13.60/3.04 fof(f48,plain,( 13.60/3.04 '==>'(sF2,sK0) = sF3), 13.60/3.04 inference(reorient_equations,[],[f47])). 13.60/3.04 fof(f49,plain,( 13.60/3.04 '0' != sF3), 13.60/3.04 inference(definition_folding,[],[f35,f48,f46,f44])). 13.60/3.04 fof(f83,plain,( 13.60/3.04 ( ! [X0,X1] : ('>='(X0,'==>'(X1,'+'(X1,X0)))) )), 13.60/3.04 inference(resolution,[],[f36,f39])). 13.60/3.04 fof(f84,plain,( 13.60/3.04 ( ! [X0,X1] : ('>='('+'(X0,'==>'(X0,X1)),X1)) )), 13.60/3.04 inference(resolution,[],[f36,f38])). 13.60/3.04 fof(f86,plain,( 13.60/3.04 ( ! [X0,X1] : ('>='('0','==>'(X0,X1)) | ~'>='(X0,X1)) )), 13.60/3.04 inference(superposition,[],[f39,f28])). 13.60/3.04 fof(f88,plain,( 13.60/3.04 ( ! [X0,X1] : (~'>='(X0,X1) | ~'>='('==>'(X0,X1),'0') | '0' = '==>'(X0,X1)) )), 13.60/3.04 inference(resolution,[],[f86,f41])). 13.60/3.04 fof(f117,definition,( 13.60/3.04 spl4_6 <=> '>='('0',sF3)), 13.60/3.04 introduced(definition,[new_symbols(definition,[spl4_6])],[avatar_definition])). 13.60/3.04 fof(f118,plain,( 13.60/3.04 ~'>='('0',sF3) | spl4_6), 13.60/3.04 inference(avatar_component_clause,[],[f117])). 13.60/3.04 fof(f119,plain,( 13.60/3.04 '>='('0',sF3) | ~spl4_6), 13.60/3.04 inference(avatar_component_clause,[],[f117])). 13.60/3.04 fof(f121,plain,( 13.60/3.04 ( ! [X0,X1] : (~'>='(X0,X1) | '0' = '==>'(X0,X1)) )), 13.60/3.04 inference(forward_subsumption_resolution,[],[f88,f29])). 13.60/3.04 fof(f125,plain,( 13.60/3.04 ( ! [X0,X1] : (~'>='('==>'(X0,'+'(X0,X1)),X1) | '==>'(X0,'+'(X0,X1)) = X1) )), 13.60/3.04 inference(resolution,[],[f83,f41])). 13.60/3.04 fof(f135,plain,( 13.60/3.04 ( ! [X2,X0,X1] : ('>='('+'(X0,'+'(X1,'==>'(X1,'==>'(X0,X2)))),X2)) )), 13.60/3.04 inference(resolution,[],[f84,f38])). 13.60/3.04 fof(f140,plain,( 13.60/3.04 ( ! [X0,X1] : ('>='('+'('==>'(X1,X0),'==>'('==>'(X0,X1),X1)),X0)) )), 13.60/3.04 inference(superposition,[],[f84,f34])). 13.60/3.04 fof(f152,plain,( 13.60/3.04 ( ! [X0] : ('+'('0',X0) = X0) )), 13.60/3.04 inference(superposition,[],[f28,f33])). 13.60/3.04 fof(f170,plain,( 13.60/3.04 ( ! [X0] : ('>='('==>'('0',X0),X0)) )), 13.60/3.04 inference(superposition,[],[f84,f152])). 13.60/3.04 fof(f178,plain,( 13.60/3.04 ( ! [X0] : (~'>='('==>'('0',X0),X0) | '==>'('0',X0) = X0) )), 13.60/3.04 inference(superposition,[],[f125,f152])). 13.60/3.04 fof(f179,plain,( 13.60/3.04 ( ! [X0] : ('==>'('0',X0) = X0) )), 13.60/3.04 inference(forward_subsumption_resolution,[],[f178,f170])). 13.60/3.04 fof(f344,plain,( 13.60/3.04 ( ! [X0,X1] : ('+'(X0,X1) = '+'(X0,'+'(X0,X1))) )), 13.60/3.04 inference(superposition,[],[f27,f30])). 13.60/3.04 fof(f354,plain,( 13.60/3.04 ( ! [X0,X1] : ('>='('==>'('==>'(X0,X1),X1),'==>'('==>'(X1,X0),X0))) )), 13.60/3.04 inference(resolution,[],[f140,f39])). 13.60/3.04 fof(f472,plain,( 13.60/3.04 '0' = '==>'('0',sF3) | ~spl4_6), 13.60/3.04 inference(resolution,[],[f119,f121])). 13.60/3.04 fof(f475,plain,( 13.60/3.04 '0' = sF3 | ~spl4_6), 13.60/3.04 inference(forward_demodulation,[],[f472,f179])). 13.60/3.04 fof(f480,plain,( 13.60/3.04 $false | ~spl4_6), 13.60/3.04 inference(forward_subsumption_resolution,[],[f475,f49])). 13.60/3.04 fof(f481,plain,( 13.60/3.04 ~spl4_6), 13.60/3.04 inference(avatar_contradiction_clause,[],[f480])). 13.60/3.04 fof(f703,plain,( 13.60/3.04 ( ! [X0,X1] : ('>='('+'(X0,'==>'(X0,'==>'(X0,X1))),X1)) )), 13.60/3.04 inference(superposition,[],[f135,f344])). 13.60/3.04 fof(f1078,plain,( 13.60/3.04 ( ! [X0,X1] : ('>='('==>'(X0,'==>'(X0,X1)),'==>'(X0,X1))) )), 13.60/3.04 inference(resolution,[],[f703,f39])). 13.60/3.04 fof(f1345,plain,( 13.60/3.04 '>='('==>'(sF2,sK0),'==>'('==>'(sK0,sF1),sF1))), 13.60/3.04 inference(superposition,[],[f354,f46])). 13.60/3.04 fof(f1371,plain,( 13.60/3.04 '>='('==>'('==>'(sK0,sF1),sF1),'==>'(sF2,sK0))), 13.60/3.04 inference(superposition,[],[f354,f46])). 13.60/3.04 fof(f1387,plain,( 13.60/3.04 '>='('==>'('==>'(sK0,sF1),sF1),sF3)), 13.60/3.04 inference(forward_demodulation,[],[f1371,f48])). 13.60/3.04 fof(f1407,plain,( 13.60/3.04 '>='(sF3,'==>'('==>'(sK0,sF1),sF1))), 13.60/3.04 inference(forward_demodulation,[],[f1345,f48])). 13.60/3.04 fof(f1445,plain,( 13.60/3.04 ~'>='(sF3,'==>'('==>'(sK0,sF1),sF1)) | sF3 = '==>'('==>'(sK0,sF1),sF1)), 13.60/3.04 inference(resolution,[],[f1387,f41])). 13.60/3.04 fof(f1450,plain,( 13.60/3.04 sF3 = '==>'('==>'(sK0,sF1),sF1)), 13.60/3.04 inference(forward_subsumption_resolution,[],[f1445,f1407])). 13.60/3.04 fof(f1467,plain,( 13.60/3.04 '>='('0',sF3) | ~'>='('==>'(sK0,sF1),sF1)), 13.60/3.04 inference(superposition,[],[f86,f1450])). 13.60/3.04 fof(f1484,plain,( 13.60/3.04 ~'>='('==>'(sK0,sF1),sF1) | spl4_6), 13.60/3.04 inference(forward_subsumption_resolution,[],[f1467,f118])). 13.60/3.04 fof(f1878,plain,( 13.60/3.04 '>='('==>'(sK0,sF1),sF1)), 13.60/3.04 inference(superposition,[],[f1078,f44])). 13.60/3.04 fof(f1891,plain,( 13.60/3.04 $false | spl4_6), 13.60/3.04 inference(forward_subsumption_resolution,[],[f1878,f1484])). 13.60/3.04 fof(f1892,plain,( 13.60/3.04 spl4_6), 13.60/3.04 inference(avatar_contradiction_clause,[],[f1891])). 13.60/3.04 cnf(s7, plain, ~spl4_6, inference(sat_conversion,[],[f481])). 13.60/3.04 cnf(s13, plain, spl4_6, inference(sat_conversion,[],[f1892])). 13.60/3.04 cnf(s15, plain, $false, inference(rat,[],[s7,s13])). 13.60/3.04 fof(f1900,plain,( 13.60/3.04 $false), 13.60/3.04 inference(avatar_sat_refutation,[],[s15])). 13.60/3.04 % SZS output end Proof for theBenchmark 13.60/3.04 % (2583985)------------------------------ 13.60/3.04 % (2583985)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200) 13.60/3.04 % (2583985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 13.60/3.04 % (2583985)CaDiCaL version: 2.1.3 13.60/3.04 % (2583985)Termination reason: Refutation 13.60/3.04 % (2583985)Time elapsed: 1.196 s 13.60/3.04 % (2583985)Peak memory usage: 131 MB 13.60/3.04 % (2583985)Instructions burned: 1119 (million) 13.60/3.04 % (2583985)------------------------------ 13.60/3.04 % (2583985)------------------------------ 13.60/3.04 % (2583980)Success in time 1.855 s 13.60/3.04 % Vampire exiting 13.60/3.04 EOF