%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL107-1 : 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 : n019.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 11:51:12 AM UTC 2026
% Result : Unsatisfiable 6.26s 2.37s
% Output : Refutation 6.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 11 unt; 0 def)
% Number of atoms : 29 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 23 ( 13 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 93 ( 93 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X2,X3,X0,X1,X6,X4,X5] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X4),equivalent(equivalent(equivalent(X5,X4),equivalent(X5,X3)),X6))),equivalent(X2,equivalent(equivalent(X1,X0),X6)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lg_27_1690) ).
fof(f3,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_p_1) ).
fof(f4,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X4),equivalent(equivalent(equivalent(X5,X4),equivalent(X5,X3)),X6))))
| is_a_theorem(equivalent(X2,equivalent(equivalent(X1,X0),X6))) ),
inference(resolution,[],[f2,f1]) ).
fof(f5,plain,
! [X2,X3,X0,X1,X6,X4,X5] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(X2,X1),equivalent(X2,X0)),X3)),equivalent(equivalent(equivalent(X4,X5),equivalent(equivalent(X6,X4),equivalent(X6,X5))),X3))),
inference(resolution,[],[f4,f2]) ).
fof(f6,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(equivalent(equivalent(X3,equivalent(equivalent(X4,X5),equivalent(X4,X6))),equivalent(X3,equivalent(X5,X6))),X7)),equivalent(equivalent(X1,X2),X7))),
inference(resolution,[],[f5,f4]) ).
fof(f18,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X1,X3))),equivalent(X0,equivalent(X2,X3))),equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),X7)),equivalent(equivalent(equivalent(X8,X5),equivalent(X8,X6)),X7))),
inference(resolution,[],[f6,f4]) ).
fof(f19,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(equivalent(equivalent(X3,equivalent(equivalent(X4,X5),equivalent(X4,X6))),equivalent(X3,equivalent(X5,X6))),X7)))
| is_a_theorem(equivalent(equivalent(X1,X2),X7)) ),
inference(resolution,[],[f6,f1]) ).
fof(f20,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X1,X3))),equivalent(X0,equivalent(X2,X3))),equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),X7)),equivalent(equivalent(X5,X6),X7))),
inference(resolution,[],[f19,f2]) ).
fof(f24,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X1,X3))),equivalent(X0,equivalent(X2,X3))),equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),X7)))
| is_a_theorem(equivalent(equivalent(equivalent(X8,X5),equivalent(X8,X6)),X7)) ),
inference(resolution,[],[f18,f1]) ).
fof(f42,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X1,X3))),equivalent(X0,equivalent(X2,X3))),equivalent(equivalent(equivalent(X4,X5),equivalent(X4,X6)),X7)))
| is_a_theorem(equivalent(equivalent(X5,X6),X7)) ),
inference(resolution,[],[f20,f1]) ).
fof(f47,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X1,X3))),equivalent(X0,X4)),equivalent(equivalent(X2,X3),X4))),
inference(resolution,[],[f24,f2]) ).
fof(f100,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3))),
inference(resolution,[],[f42,f2]) ).
fof(f101,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),equivalent(X2,X1)))),
inference(resolution,[],[f42,f47]) ).
fof(f158,plain,
! [X2,X0,X1] :
( is_a_theorem(equivalent(equivalent(X2,X0),equivalent(X2,X1)))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f101,f1]) ).
fof(f168,plain,
! [X2,X0,X1] :
( is_a_theorem(equivalent(X2,X1))
| ~ is_a_theorem(equivalent(X2,X0))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f158,f1]) ).
fof(f173,plain,
! [X0] :
( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),X0)) ),
inference(resolution,[],[f168,f3]) ).
fof(f234,plain,
! [X0] : ~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(equivalent(X0,e),equivalent(X0,b)),equivalent(equivalent(a,e),c)))),
inference(resolution,[],[f100,f173]) ).
fof(f246,plain,
$false,
inference(resolution,[],[f234,f101]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL107-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.10 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.49 % Computer : n019.cluster.edu
% 0.23/0.49 % Model : x86_64 x86_64
% 0.23/0.49 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.23/0.49 % Memory : 8046.5625MB
% 0.23/0.49 % OS : Linux 6.8.0-71-generic
% 0.23/0.49 % CPULimit : 300
% 0.23/0.49 % WCLimit : 300
% 0.23/0.49 % DateTime : Sun Sep 27 15:22:04 UTC 2026
% 0.23/0.49 % CPUTime :
% 0.23/0.49 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.27/0.55 Running first-order theorem proving
% 0.27/0.55 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
% 6.26/2.37 % (3195299)Input is clausal, will run a generic CNF schedule.
% 6.26/2.37 % (3195307)lrs+10_1_sil=8000:sp=occurrence:random_seed=1918213004:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.26/2.37 % (3195307)Instruction limit reached!
% 6.26/2.37 % (3195307)------------------------------
% 6.26/2.37 % (3195307)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.26/2.37 % (3195307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.26/2.37 % (3195307)CaDiCaL version: 2.1.3
% 6.26/2.37 % (3195307)Termination reason: Instruction limit
% 6.26/2.37 % (3195307)Termination phase: Saturation
% 6.26/2.37 % (3195307)Time elapsed: 0.056 s
% 6.26/2.37 % (3195307)Peak memory usage: 88 MB
% 6.26/2.37 % (3195307)Instructions burned: 107 (million)
% 6.26/2.37 % (3195304)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=1410027671:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.26/2.37 % (3195305)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1329151220:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.26/2.37 % (3195306)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2207818885:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.26/2.37 % (3195308)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=981995071:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.26/2.37 % (3195310)dis-21_1_sil=8000:lcm=predicate:random_seed=865175292: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)
% 6.26/2.37 % (3195309)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1089504619:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.26/2.37 % (3195308)First to succeed.
% 6.26/2.37 % (3195308)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3195299"
% 6.26/2.37 % (3195310)Instruction limit reached!
% 6.26/2.37 % (3195310)------------------------------
% 6.26/2.37 % (3195310)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.26/2.37 % (3195310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.26/2.37 % (3195310)CaDiCaL version: 2.1.3
% 6.26/2.37 % (3195310)Termination reason: Instruction limit
% 6.26/2.37 % (3195310)Termination phase: Saturation
% 6.26/2.37 % (3195310)Time elapsed: 0.094 s
% 6.26/2.37 % (3195310)Peak memory usage: 88 MB
% 6.26/2.37 % (3195310)Instructions burned: 117 (million)
% 6.26/2.37 % (3195309)Instruction limit reached!
% 6.26/2.37 % (3195309)------------------------------
% 6.26/2.37 % (3195309)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.26/2.37 % (3195309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.26/2.37 % (3195309)CaDiCaL version: 2.1.3
% 6.26/2.37 % (3195309)Termination reason: Instruction limit
% 6.26/2.37 % (3195309)Termination phase: Saturation
% 6.26/2.37 % (3195309)Time elapsed: 0.175 s
% 6.26/2.37 % (3195309)Peak memory usage: 88 MB
% 6.26/2.37 % (3195309)Instructions burned: 181 (million)
% 6.26/2.37 % (3195313)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=1294380167:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 6.26/2.37 % (3195313)Refutation not found, incomplete strategy
% 6.26/2.37 % (3195313)------------------------------
% 6.26/2.37 % (3195313)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.26/2.37 % (3195313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.26/2.37 % (3195313)CaDiCaL version: 2.1.3
% 6.26/2.37 % (3195313)Termination reason: Refutation not found, incomplete strategy
% 6.26/2.37 % (3195313)Time elapsed: 0.001 s
% 6.26/2.37 % (3195313)Peak memory usage: 87 MB
% 6.26/2.37 % (3195319)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=4249143709: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)
% 6.26/2.37 % (3195308)Refutation found. Thanks to Tanya!
% 6.26/2.37 % SZS status Unsatisfiable for theBenchmark
% 6.26/2.37 % SZS output start Proof for theBenchmark
% See solution above
% 6.26/2.37 % (3195308)------------------------------
% 6.26/2.37 % (3195308)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.26/2.37 % (3195308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.26/2.37 % (3195308)CaDiCaL version: 2.1.3
% 6.26/2.37 % (3195308)Termination reason: Refutation
% 6.26/2.37 % (3195308)Time elapsed: 0.018 s
% 6.26/2.37 % (3195308)Peak memory usage: 88 MB
% 6.26/2.37 % (3195308)Instructions burned: 15 (million)
% 6.26/2.37 % (3195308)------------------------------
% 6.26/2.37 % (3195308)------------------------------
% 6.26/2.37 % (3195299)Success in time 0.723 s
% 6.26/2.37 % Vampire exiting
%------------------------------------------------------------------------------