%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL064-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 8.09s 2.23s
% Output : Refutation 8.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 10 unt; 0 def)
% Number of atoms : 13 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 11 ( 9 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 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 : 14 ( 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',cn_35) ).
fof(f4,negated_conjecture,
~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_1) ).
fof(f6,plain,
! [X0,X1] : ~ is_a_theorem(implies(implies(X0,implies(X1,X0)),implies(implies(a,b),implies(implies(b,c),implies(a,c))))),
inference(unit_resulting_resolution,[],[f1,f2,f4]) ).
fof(f16,plain,
! [X0] : ~ is_a_theorem(implies(implies(a,b),implies(implies(X0,implies(a,b)),implies(implies(b,c),implies(a,c))))),
inference(unit_resulting_resolution,[],[f1,f3,f6]) ).
fof(f36,plain,
! [X0] : ~ is_a_theorem(implies(implies(X0,implies(a,b)),implies(implies(b,c),implies(a,c)))),
inference(unit_resulting_resolution,[],[f1,f2,f16]) ).
fof(f77,plain,
~ is_a_theorem(implies(implies(b,c),implies(implies(a,b),implies(a,c)))),
inference(unit_resulting_resolution,[],[f1,f3,f36]) ).
fof(f101,plain,
! [X0,X1] : ~ is_a_theorem(implies(implies(X0,implies(X1,X0)),implies(implies(b,c),implies(implies(a,b),implies(a,c))))),
inference(unit_resulting_resolution,[],[f1,f2,f77]) ).
fof(f673,plain,
! [X0] : ~ is_a_theorem(implies(implies(b,c),implies(implies(X0,implies(b,c)),implies(implies(a,b),implies(a,c))))),
inference(unit_resulting_resolution,[],[f1,f3,f101]) ).
fof(f1381,plain,
$false,
inference(unit_resulting_resolution,[],[f1,f3,f2,f673]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL064-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n011.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 15:20:15 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.43 Running first-order theorem proving
% 0.13/0.43 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.09/2.23 % (2541248)Input is clausal, will run a generic CNF schedule.
% 8.09/2.23 % (2541331)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2376207885:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 8.09/2.23 % (2541333)lrs+10_1_sil=8000:sp=occurrence:random_seed=1169937377:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 8.09/2.23 % (2541330)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=1650170624:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 8.09/2.23 % (2541332)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4059136437:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 8.09/2.23 % (2541335)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2709633611:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 8.09/2.23 % (2541334)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1862575301:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 8.09/2.23 % (2541336)dis-21_1_sil=8000:lcm=predicate:random_seed=535944797: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)
% 8.09/2.23 % (2541334)Instruction limit reached!
% 8.09/2.23 % (2541334)------------------------------
% 8.09/2.23 % (2541334)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.09/2.23 % (2541334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.09/2.23 % (2541334)CaDiCaL version: 2.1.3
% 8.09/2.23 % (2541334)Termination reason: Instruction limit
% 8.09/2.23 % (2541334)Termination phase: Saturation
% 8.09/2.23 % (2541334)Time elapsed: 0.109 s
% 8.09/2.23 % (2541334)Peak memory usage: 88 MB
% 8.09/2.23 % (2541334)Instructions burned: 115 (million)
% 8.09/2.23 % (2541333)Instruction limit reached!
% 8.09/2.23 % (2541333)------------------------------
% 8.09/2.23 % (2541333)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.09/2.23 % (2541333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.09/2.23 % (2541333)CaDiCaL version: 2.1.3
% 8.09/2.23 % (2541333)Termination reason: Instruction limit
% 8.09/2.23 % (2541333)Termination phase: Saturation
% 8.09/2.23 % (2541333)Time elapsed: 0.112 s
% 8.09/2.23 % (2541333)Peak memory usage: 88 MB
% 8.09/2.23 % (2541333)Instructions burned: 108 (million)
% 8.09/2.23 % (2541336)Instruction limit reached!
% 8.09/2.23 % (2541336)------------------------------
% 8.09/2.23 % (2541336)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.09/2.23 % (2541336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.09/2.23 % (2541336)CaDiCaL version: 2.1.3
% 8.09/2.23 % (2541336)Termination reason: Instruction limit
% 8.09/2.23 % (2541336)Termination phase: Saturation
% 8.09/2.23 % (2541336)Time elapsed: 0.115 s
% 8.09/2.23 % (2541336)Peak memory usage: 88 MB
% 8.09/2.23 % (2541336)Instructions burned: 117 (million)
% 8.09/2.23 % (2541335)Instruction limit reached!
% 8.09/2.23 % (2541335)------------------------------
% 8.09/2.23 % (2541335)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.09/2.23 % (2541335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.09/2.23 % (2541335)CaDiCaL version: 2.1.3
% 8.09/2.23 % (2541335)Termination reason: Instruction limit
% 8.09/2.23 % (2541335)Termination phase: Saturation
% 8.09/2.23 % (2541335)Time elapsed: 0.194 s
% 8.09/2.23 % (2541335)Peak memory usage: 89 MB
% 8.09/2.23 % (2541335)Instructions burned: 180 (million)
% 8.09/2.23 % (2541380)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2235366625:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 8.09/2.23 % (2541383)lrs+10_64_to=lpo:sil=8000:random_seed=2614710605:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 8.09/2.23 % (2541379)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=1020034430:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 8.09/2.23 % (2541379)Refutation not found, incomplete strategy
% 8.09/2.23 % (2541379)------------------------------
% 8.09/2.23 % (2541379)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.09/2.23 % (2541379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.09/2.23 % (2541379)CaDiCaL version: 2.1.3
% 8.09/2.23 % (2541379)Termination reason: Refutation not found, incomplete strategy
% 8.09/2.23 % (2541379)Time elapsed: 0.001 s
% 8.09/2.23 % (2541379)Peak memory usage: 87 MB
% 8.09/2.23 % (2541381)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1317668853:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 8.09/2.23 % (2541381)Refutation not found, incomplete strategy
% 8.09/2.23 % (2541381)------------------------------
% 8.09/2.23 % (2541381)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.09/2.23 % (2541381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.09/2.23 % (2541381)CaDiCaL version: 2.1.3
% 8.09/2.23 % (2541381)Termination reason: Refutation not found, incomplete strategy
% 8.09/2.23 % (2541381)Time elapsed: 0.001 s
% 8.09/2.23 % (2541381)Peak memory usage: 87 MB
% 8.09/2.23 % (2541380)First to succeed.
% 8.09/2.23 % (2541380)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2541248"
% 8.09/2.23 % (2541383)Also succeeded, but the first one will report.
% 8.09/2.23 % (2541331)Also succeeded, but the first one will report.
% 8.09/2.23 % (2541379)------------------------------
% 8.09/2.23 % (2541379)------------------------------
% 8.09/2.23 % (2541381)------------------------------
% 8.09/2.23 % (2541381)------------------------------
% 8.09/2.23 % (2541380)Refutation found. Thanks to Tanya!
% 8.09/2.23 % SZS status Unsatisfiable for theBenchmark
% 8.09/2.23 % SZS output start Proof for theBenchmark
% See solution above
% 8.09/2.23 % (2541380)------------------------------
% 8.09/2.23 % (2541380)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.09/2.23 % (2541380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.09/2.23 % (2541380)CaDiCaL version: 2.1.3
% 8.09/2.23 % (2541380)Termination reason: Refutation
% 8.09/2.23 % (2541380)Time elapsed: 0.073 s
% 8.09/2.23 % (2541380)Peak memory usage: 89 MB
% 8.09/2.23 % (2541380)Instructions burned: 91 (million)
% 8.09/2.23 % (2541380)------------------------------
% 8.09/2.23 % (2541380)------------------------------
% 8.09/2.23 % (2541248)Success in time 1.038 s
% 8.09/2.23 % Vampire exiting
%------------------------------------------------------------------------------