%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL111-1 : 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 : n005.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 11:51:14 AM UTC 2026
% Result : Unsatisfiable 3.60s 1.29s
% Output : Refutation 3.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 13 ( 7 unt; 0 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 22 ( 14 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 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 : 21 ( 21 !; 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',mv_1) ).
fof(f3,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mv_2) ).
fof(f4,axiom,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X1),implies(implies(X1,X0),X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mv_3) ).
fof(f6,negated_conjecture,
~ is_a_theorem(implies(implies(a,b),implies(implies(c,a),implies(c,b)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_mv_25) ).
fof(f11,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f3,f1]) ).
fof(f16,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f11,f1]) ).
fof(f19,plain,
! [X0] :
( ~ is_a_theorem(implies(implies(a,b),X0))
| ~ is_a_theorem(implies(X0,implies(implies(c,a),implies(c,b)))) ),
inference(resolution,[],[f16,f6]) ).
fof(f47,plain,
! [X0] : ~ is_a_theorem(implies(implies(X0,implies(a,b)),implies(implies(c,a),implies(c,b)))),
inference(resolution,[],[f19,f2]) ).
fof(f120,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(c,a),implies(c,b))))
| ~ is_a_theorem(implies(implies(X1,implies(a,b)),X0)) ),
inference(resolution,[],[f47,f16]) ).
fof(f399,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(implies(X0,implies(a,b)),implies(X1,implies(c,b))))
| ~ is_a_theorem(implies(implies(c,a),X1)) ),
inference(resolution,[],[f120,f11]) ).
fof(f1380,plain,
~ is_a_theorem(implies(implies(c,a),implies(implies(a,b),implies(c,b)))),
inference(resolution,[],[f399,f4]) ).
fof(f1383,plain,
$false,
inference(forward_subsumption_resolution,[],[f1380,f3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL111-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 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 : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 15:22:32 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 3.60/1.29 % (4128962)Input is clausal, will run a generic CNF schedule.
% 3.60/1.29 % (4129030)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4059539990:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.60/1.29 % (4129026)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1819406244:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.60/1.29 % (4129027)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2362027631:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.60/1.29 % (4129028)lrs+10_1_sil=8000:sp=occurrence:random_seed=3262156971:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.60/1.29 % (4129025)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=2243744002:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.60/1.29 % (4129029)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3593924715:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.60/1.29 % (4129031)dis-21_1_sil=8000:lcm=predicate:random_seed=240093358: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)
% 3.60/1.29 % (4129030)First to succeed.
% 3.60/1.29 % (4129030)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4128962"
% 3.60/1.29 % (4129029)Instruction limit reached!
% 3.60/1.29 % (4129029)------------------------------
% 3.60/1.29 % (4129029)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.60/1.29 % (4129029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.60/1.29 % (4129029)CaDiCaL version: 2.1.3
% 3.60/1.29 % (4129029)Termination reason: Instruction limit
% 3.60/1.29 % (4129029)Termination phase: Saturation
% 3.60/1.29 % (4129029)Time elapsed: 0.069 s
% 3.60/1.29 % (4129029)Peak memory usage: 88 MB
% 3.60/1.29 % (4129029)Instructions burned: 114 (million)
% 3.60/1.29 % (4129028)Instruction limit reached!
% 3.60/1.29 % (4129028)------------------------------
% 3.60/1.29 % (4129028)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.60/1.29 % (4129028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.60/1.29 % (4129028)CaDiCaL version: 2.1.3
% 3.60/1.29 % (4129028)Termination reason: Instruction limit
% 3.60/1.29 % (4129028)Termination phase: Saturation
% 3.60/1.29 % (4129028)Time elapsed: 0.069 s
% 3.60/1.29 % (4129028)Peak memory usage: 88 MB
% 3.60/1.29 % (4129028)Instructions burned: 108 (million)
% 3.60/1.29 % (4129031)Instruction limit reached!
% 3.60/1.29 % (4129031)------------------------------
% 3.60/1.29 % (4129031)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.60/1.29 % (4129031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.60/1.29 % (4129031)CaDiCaL version: 2.1.3
% 3.60/1.29 % (4129031)Termination reason: Instruction limit
% 3.60/1.29 % (4129031)Termination phase: Saturation
% 3.60/1.29 % (4129031)Time elapsed: 0.075 s
% 3.60/1.29 % (4129031)Peak memory usage: 89 MB
% 3.60/1.29 % (4129031)Instructions burned: 118 (million)
% 3.60/1.29 % (4129040)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3592658136: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)
% 3.60/1.29 % (4129039)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=541729525:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.60/1.29 % (4129039)Refutation not found, incomplete strategy
% 3.60/1.29 % (4129039)------------------------------
% 3.60/1.29 % (4129039)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.60/1.29 % (4129039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.60/1.29 % (4129039)CaDiCaL version: 2.1.3
% 3.60/1.29 % (4129039)Termination reason: Refutation not found, incomplete strategy
% 3.60/1.29 % (4129039)Time elapsed: 0.001 s
% 3.60/1.29 % (4129039)Peak memory usage: 87 MB
% 3.60/1.29 % (4129041)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1023855118:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.60/1.29 % (4129041)Refutation not found, incomplete strategy
% 3.60/1.29 % (4129041)------------------------------
% 3.60/1.29 % (4129041)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.60/1.29 % (4129041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.60/1.29 % (4129041)CaDiCaL version: 2.1.3
% 3.60/1.29 % (4129041)Termination reason: Refutation not found, incomplete strategy
% 3.60/1.29 % (4129041)Time elapsed: 0.001 s
% 3.60/1.29 % (4129041)Peak memory usage: 87 MB
% 3.60/1.29 % (4129040)Instruction limit reached!
% 3.60/1.29 % (4129040)------------------------------
% 3.60/1.29 % (4129040)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.60/1.29 % (4129040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.60/1.29 % (4129040)CaDiCaL version: 2.1.3
% 3.60/1.29 % (4129040)Termination reason: Instruction limit
% 3.60/1.29 % (4129040)Termination phase: Saturation
% 3.60/1.29 % (4129040)Time elapsed: 0.061 s
% 3.60/1.29 % (4129040)Peak memory usage: 89 MB
% 3.60/1.29 % (4129040)Instructions burned: 192 (million)
% 3.60/1.29 % (4129030)Refutation found. Thanks to Tanya!
% 3.60/1.29 % SZS status Unsatisfiable for theBenchmark
% 3.60/1.29 % SZS output start Proof for theBenchmark
% See solution above
% 3.60/1.29 % (4129030)------------------------------
% 3.60/1.29 % (4129030)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.60/1.29 % (4129030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.60/1.29 % (4129030)CaDiCaL version: 2.1.3
% 3.60/1.29 % (4129030)Termination reason: Refutation
% 3.60/1.29 % (4129030)Time elapsed: 0.061 s
% 3.60/1.29 % (4129030)Peak memory usage: 89 MB
% 3.60/1.29 % (4129030)Instructions burned: 88 (million)
% 3.60/1.29 % (4129030)------------------------------
% 3.60/1.29 % (4129030)------------------------------
% 3.60/1.29 % (4128962)Success in time 0.462 s
% 3.60/1.29 % Vampire exiting
%------------------------------------------------------------------------------