%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL064-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:51:05 AM UTC 2026
% Result : Unsatisfiable 8.49s 2.25s
% Output : Refutation 8.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 11 unt; 0 def)
% Number of atoms : 14 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 5 ( 3 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 29 ( 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_18) ).
fof(f3,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_35) ).
fof(f5,negated_conjecture,
~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_1) ).
fof(f7,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))),
inference(unit_resulting_resolution,[],[f1,f2,f2]) ).
fof(f10,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),implies(X0,X1)),implies(implies(X0,implies(X1,X2)),implies(X0,X2)))),
inference(unit_resulting_resolution,[],[f1,f3,f3]) ).
fof(f13,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(X0,implies(implies(X1,implies(X2,X3)),implies(implies(X1,X2),implies(X1,X3))))),
inference(unit_resulting_resolution,[],[f1,f2,f3]) ).
fof(f66,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(implies(X1,X0),X2)),implies(X0,X2))),
inference(unit_resulting_resolution,[],[f1,f7,f10]) ).
fof(f346,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),
inference(unit_resulting_resolution,[],[f1,f66,f13]) ).
fof(f383,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X0)),implies(implies(X0,X1),implies(X2,X1)))),
inference(unit_resulting_resolution,[],[f1,f3,f346]) ).
fof(f544,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
inference(unit_resulting_resolution,[],[f1,f7,f383]) ).
fof(f587,plain,
$false,
inference(unit_resulting_resolution,[],[f1,f5,f383,f544]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL064-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.10 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.21/0.47 % Computer : n020.cluster.edu
% 0.21/0.47 % Model : x86_64 x86_64
% 0.21/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.47 % Memory : 8046.5625MB
% 0.21/0.47 % OS : Linux 6.8.0-71-generic
% 0.21/0.47 % CPULimit : 300
% 0.21/0.47 % WCLimit : 300
% 0.21/0.47 % DateTime : Sun Sep 27 15:21:04 UTC 2026
% 0.21/0.47 % CPUTime :
% 0.21/0.47 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.26/0.51 Running first-order theorem proving
% 0.26/0.51 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.11/2.06 % (3521365)Input is clausal, will run a generic CNF schedule.
% 8.11/2.06 % (3521373)lrs+10_1_sil=8000:sp=occurrence:random_seed=1999142720:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 8.11/2.06 % (3521370)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=1227231777:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 8.11/2.06 % (3521371)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=237925971:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 8.11/2.06 % (3521372)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3290954482:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 8.11/2.06 % (3521375)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1110100372:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 8.11/2.06 % (3521376)dis-21_1_sil=8000:lcm=predicate:random_seed=2414082483:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 8.11/2.06 % (3521374)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=611618319:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 8.11/2.06 % (3521374)Instruction limit reached!
% 8.11/2.06 % (3521374)------------------------------
% 8.11/2.06 % (3521374)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.11/2.06 % (3521374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.11/2.06 % (3521374)CaDiCaL version: 2.1.3
% 8.11/2.06 % (3521374)Termination reason: Instruction limit
% 8.11/2.06 % (3521374)Termination phase: Saturation
% 8.11/2.06 % (3521374)Time elapsed: 0.037 s
% 8.11/2.06 % (3521374)Peak memory usage: 88 MB
% 8.11/2.06 % (3521374)Instructions burned: 117 (million)
% 8.11/2.06 % (3521373)Instruction limit reached!
% 8.11/2.06 % (3521373)------------------------------
% 8.11/2.06 % (3521373)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.11/2.06 % (3521373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.11/2.06 % (3521373)CaDiCaL version: 2.1.3
% 8.11/2.06 % (3521373)Termination reason: Instruction limit
% 8.11/2.06 % (3521373)Termination phase: Saturation
% 8.11/2.06 % (3521373)Time elapsed: 0.071 s
% 8.11/2.06 % (3521373)Peak memory usage: 89 MB
% 8.11/2.06 % (3521373)Instructions burned: 108 (million)
% 8.11/2.06 % (3521376)Instruction limit reached!
% 8.11/2.06 % (3521376)------------------------------
% 8.11/2.06 % (3521376)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.11/2.06 % (3521376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.11/2.06 % (3521376)CaDiCaL version: 2.1.3
% 8.11/2.06 % (3521376)Termination reason: Instruction limit
% 8.11/2.06 % (3521376)Termination phase: Saturation
% 8.11/2.06 % (3521376)Time elapsed: 0.073 s
% 8.11/2.06 % (3521376)Peak memory usage: 89 MB
% 8.11/2.06 % (3521376)Instructions burned: 117 (million)
% 8.11/2.06 % (3521375)Instruction limit reached!
% 8.11/2.06 % (3521375)------------------------------
% 8.11/2.06 % (3521375)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.11/2.06 % (3521375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.11/2.06 % (3521375)CaDiCaL version: 2.1.3
% 8.11/2.06 % (3521375)Termination reason: Instruction limit
% 8.11/2.06 % (3521375)Termination phase: Saturation
% 8.11/2.06 % (3521375)Time elapsed: 0.123 s
% 8.11/2.06 % (3521375)Peak memory usage: 89 MB
% 8.11/2.06 % (3521375)Instructions burned: 181 (million)
% 8.11/2.06 % (3521384)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=3122401313:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 8.11/2.06 % (3521384)Refutation not found, incomplete strategy
% 8.11/2.06 % (3521384)------------------------------
% 8.11/2.06 % (3521384)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.11/2.06 % (3521384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.11/2.06 % (3521384)CaDiCaL version: 2.1.3
% 8.11/2.06 % (3521384)Termination reason: Refutation not found, incomplete strategy
% 8.11/2.06 % (3521384)Time elapsed: 0.001 s
% 8.11/2.06 % (3521384)Peak memory usage: 87 MB
% 8.11/2.06 % (3521385)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3659896916:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 8.49/2.25 % (3521386)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1917084065:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 8.49/2.25 % (3521386)Refutation not found, incomplete strategy
% 8.49/2.25 % (3521386)------------------------------
% 8.49/2.25 % (3521386)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.49/2.25 % (3521386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.49/2.25 % (3521386)CaDiCaL version: 2.1.3
% 8.49/2.25 % (3521386)Termination reason: Refutation not found, incomplete strategy
% 8.49/2.25 % (3521386)Time elapsed: 0.001 s
% 8.49/2.25 % (3521386)Peak memory usage: 87 MB
% 8.49/2.25 % (3521387)lrs+10_64_to=lpo:sil=8000:random_seed=3627019051:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 8.49/2.25 % (3521384)------------------------------
% 8.49/2.25 % (3521384)------------------------------
% 8.49/2.25 % (3521385)Instruction limit reached!
% 8.49/2.25 % (3521385)------------------------------
% 8.49/2.25 % (3521385)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.49/2.25 % (3521385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.49/2.25 % (3521385)CaDiCaL version: 2.1.3
% 8.49/2.25 % (3521385)Termination reason: Instruction limit
% 8.49/2.25 % (3521385)Termination phase: Saturation
% 8.49/2.25 % (3521385)Time elapsed: 0.112 s
% 8.49/2.25 % (3521385)Peak memory usage: 89 MB
% 8.49/2.25 % (3521385)Instructions burned: 189 (million)
% 8.49/2.25 % (3521387)Instruction limit reached!
% 8.49/2.25 % (3521387)------------------------------
% 8.49/2.25 % (3521387)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.49/2.25 % (3521387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.49/2.25 % (3521387)CaDiCaL version: 2.1.3
% 8.49/2.25 % (3521387)Termination reason: Instruction limit
% 8.49/2.25 % (3521387)Termination phase: Saturation
% 8.49/2.25 % (3521387)Time elapsed: 0.083 s
% 8.49/2.25 % (3521387)Peak memory usage: 89 MB
% 8.49/2.25 % (3521387)Instructions burned: 126 (million)
% 8.49/2.25 % (3521402)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=77354659:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 8.49/2.25 % (3521410)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=274868691:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 8.49/2.25 % (3521386)------------------------------
% 8.49/2.25 % (3521386)------------------------------
% 8.49/2.25 % (3521402)Instruction limit reached!
% 8.49/2.25 % (3521402)------------------------------
% 8.49/2.25 % (3521402)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.49/2.25 % (3521402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.49/2.25 % (3521402)CaDiCaL version: 2.1.3
% 8.49/2.25 % (3521402)Termination reason: Instruction limit
% 8.49/2.25 % (3521402)Termination phase: Saturation
% 8.49/2.25 % (3521402)Time elapsed: 0.072 s
% 8.49/2.25 % (3521402)Peak memory usage: 90 MB
% 8.49/2.25 % (3521402)Instructions burned: 195 (million)
% 8.49/2.25 % (3521420)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2829865554:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 8.49/2.25 % (3521410)Instruction limit reached!
% 8.49/2.25 % (3521410)------------------------------
% 8.49/2.25 % (3521410)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.49/2.25 % (3521410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.49/2.25 % (3521410)CaDiCaL version: 2.1.3
% 8.49/2.25 % (3521410)Termination reason: Instruction limit
% 8.49/2.25 % (3521410)Termination phase: Saturation
% 8.49/2.25 % (3521410)Time elapsed: 0.106 s
% 8.49/2.25 % (3521410)Peak memory usage: 91 MB
% 8.49/2.25 % (3521410)Instructions burned: 158 (million)
% 8.49/2.25 % (3521471)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1378851932:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 8.49/2.25 % (3521471)Refutation not found, incomplete strategy
% 8.49/2.25 % (3521471)------------------------------
% 8.49/2.25 % (3521471)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.49/2.25 % (3521471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.49/2.25 % (3521471)CaDiCaL version: 2.1.3
% 8.49/2.25 % (3521471)Termination reason: Refutation not found, incomplete strategy
% 8.49/2.25 % (3521471)Time elapsed: 0.0000 s
% 8.49/2.25 % (3521471)Peak memory usage: 87 MB
% 8.49/2.25 % (3521469)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=2284331056:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 8.49/2.25 % (3521371)First to succeed.
% 8.49/2.25 % (3521371)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3521365"
% 8.49/2.25 % (3521469)Instruction limit reached!
% 8.49/2.25 % (3521469)------------------------------
% 8.49/2.25 % (3521469)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.49/2.25 % (3521469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.49/2.25 % (3521469)CaDiCaL version: 2.1.3
% 8.49/2.25 % (3521469)Termination reason: Instruction limit
% 8.49/2.25 % (3521469)Termination phase: Saturation
% 8.49/2.25 % (3521469)Time elapsed: 0.059 s
% 8.49/2.25 % (3521469)Peak memory usage: 88 MB
% 8.49/2.25 % (3521469)Instructions burned: 108 (million)
% 8.49/2.25 % (3521492)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=610583373:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 8.49/2.25 % (3521471)------------------------------
% 8.49/2.25 % (3521471)------------------------------
% 8.49/2.25 % (3521523)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=74734260:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 8.49/2.25 % (3521554)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3530998674:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 8.49/2.25 % (3521492)Instruction limit reached!
% 8.49/2.25 % (3521492)------------------------------
% 8.49/2.25 % (3521492)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.49/2.25 % (3521492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.49/2.25 % (3521492)CaDiCaL version: 2.1.3
% 8.49/2.25 % (3521492)Termination reason: Instruction limit
% 8.49/2.25 % (3521492)Termination phase: Saturation
% 8.49/2.25 % (3521492)Time elapsed: 0.164 s
% 8.49/2.25 % (3521492)Peak memory usage: 90 MB
% 8.49/2.25 % (3521492)Instructions burned: 243 (million)
% 8.49/2.25 % (3521371)Refutation found. Thanks to Tanya!
% 8.49/2.25 % SZS status Unsatisfiable for theBenchmark
% 8.49/2.25 % SZS output start Proof for theBenchmark
% See solution above
% 8.49/2.25 % (3521371)------------------------------
% 8.49/2.25 % (3521371)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.49/2.25 % (3521371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.49/2.25 % (3521371)CaDiCaL version: 2.1.3
% 8.49/2.25 % (3521371)Termination reason: Refutation
% 8.49/2.25 % (3521371)Time elapsed: 0.687 s
% 8.49/2.25 % (3521371)Peak memory usage: 127 MB
% 8.49/2.25 % (3521371)Instructions burned: 1035 (million)
% 8.49/2.25 % (3521371)------------------------------
% 8.49/2.25 % (3521371)------------------------------
% 8.49/2.25 % (3521365)Success in time 1.104 s
% 8.49/2.25 % Vampire exiting
%------------------------------------------------------------------------------