%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL098-1 : 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 : n015.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 11:51:11 AM UTC 2026
% Result : Unsatisfiable 4.02s 1.68s
% Output : Refutation 4.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 6 unt; 0 def)
% Number of atoms : 18 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 17 ( 10 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 38 ( 38 !; 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,X4] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4),X4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lg_3) ).
fof(f3,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,b),c),e),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_lg_4) ).
fof(f4,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3)),X4))
| is_a_theorem(X4) ),
inference(resolution,[],[f2,f1]) ).
fof(f5,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X2)))),
inference(resolution,[],[f4,f2]) ).
fof(f6,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(equivalent(X2,X3),equivalent(X2,X4)),X0),equivalent(equivalent(X3,X4),X1)))),
inference(resolution,[],[f5,f4]) ).
fof(f12,plain,
! [X2,X3,X0,X1,X4] :
( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X2,X3),equivalent(X2,X4)),X0),equivalent(equivalent(X3,X4),X1)))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f6,f1]) ).
fof(f18,plain,
! [X2,X3,X0,X1,X4] :
( is_a_theorem(equivalent(equivalent(X3,X4),X1))
| ~ is_a_theorem(equivalent(equivalent(equivalent(X2,X3),equivalent(X2,X4)),X0))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f12,f1]) ).
fof(f36,plain,
! [X0,X1] :
( ~ is_a_theorem(equivalent(X1,equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(a,b),c)),equivalent(X0,e)),X1)) ),
inference(resolution,[],[f18,f3]) ).
fof(f41,plain,
! [X2,X3,X0,X1,X4] : ~ is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(a,b),c)),equivalent(X0,e)),equivalent(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),X4),equivalent(equivalent(X2,X3),X4)),equivalent(equivalent(equivalent(a,falsehood),c),equivalent(equivalent(b,falsehood),e))))),
inference(resolution,[],[f36,f2]) ).
fof(f1282,plain,
$false,
inference(resolution,[],[f41,f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL098-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.43 % Computer : n015.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Sun Sep 27 15:25:01 UTC 2026
% 0.16/0.44 % CPUTime :
% 0.16/0.44 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 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
% 4.02/1.68 % (1776766)Input is clausal, will run a generic CNF schedule.
% 4.02/1.68 % (1776776)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1007628011:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.02/1.68 % (1776776)First to succeed.
% 4.02/1.68 % (1776776)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1776766"
% 4.02/1.68 % (1776773)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1078773167:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.02/1.68 % (1776772)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1398528554:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.02/1.68 % (1776774)lrs+10_1_sil=8000:sp=occurrence:random_seed=3869958846:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.02/1.68 % (1776771)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=1155832198:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.02/1.68 % (1776775)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3517401819:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.02/1.68 % (1776777)dis-21_1_sil=8000:lcm=predicate:random_seed=1332862937: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)
% 4.02/1.68 % (1776774)Instruction limit reached!
% 4.02/1.68 % (1776774)------------------------------
% 4.02/1.68 % (1776774)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.02/1.68 % (1776774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.02/1.68 % (1776774)CaDiCaL version: 2.1.3
% 4.02/1.68 % (1776774)Termination reason: Instruction limit
% 4.02/1.68 % (1776774)Termination phase: Saturation
% 4.02/1.68 % (1776774)Time elapsed: 0.109 s
% 4.02/1.68 % (1776774)Peak memory usage: 88 MB
% 4.02/1.68 % (1776774)Instructions burned: 107 (million)
% 4.02/1.68 % (1776775)Instruction limit reached!
% 4.02/1.68 % (1776775)------------------------------
% 4.02/1.68 % (1776775)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.02/1.68 % (1776775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.02/1.68 % (1776775)CaDiCaL version: 2.1.3
% 4.02/1.68 % (1776775)Termination reason: Instruction limit
% 4.02/1.68 % (1776775)Termination phase: Saturation
% 4.02/1.68 % (1776775)Time elapsed: 0.116 s
% 4.02/1.68 % (1776775)Peak memory usage: 88 MB
% 4.02/1.68 % (1776775)Instructions burned: 114 (million)
% 4.02/1.68 % (1776777)Instruction limit reached!
% 4.02/1.68 % (1776777)------------------------------
% 4.02/1.68 % (1776777)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.02/1.68 % (1776777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.02/1.68 % (1776777)CaDiCaL version: 2.1.3
% 4.02/1.68 % (1776777)Termination reason: Instruction limit
% 4.02/1.68 % (1776777)Termination phase: Saturation
% 4.02/1.68 % (1776777)Time elapsed: 0.113 s
% 4.02/1.68 % (1776777)Peak memory usage: 88 MB
% 4.02/1.68 % (1776777)Instructions burned: 117 (million)
% 4.02/1.68 % (1776776)Refutation found. Thanks to Tanya!
% 4.02/1.68 % SZS status Unsatisfiable for theBenchmark
% 4.02/1.68 % SZS output start Proof for theBenchmark
% See solution above
% 4.02/1.68 % (1776776)------------------------------
% 4.02/1.68 % (1776776)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.02/1.68 % (1776776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.02/1.68 % (1776776)CaDiCaL version: 2.1.3
% 4.02/1.68 % (1776776)Termination reason: Refutation
% 4.02/1.68 % (1776776)Time elapsed: 0.032 s
% 4.02/1.68 % (1776776)Peak memory usage: 88 MB
% 4.02/1.68 % (1776776)Instructions burned: 89 (million)
% 4.02/1.68 % (1776776)------------------------------
% 4.02/1.68 % (1776776)------------------------------
% 4.02/1.68 % (1776766)Success in time 0.464 s
% 4.02/1.68 % Vampire exiting
%------------------------------------------------------------------------------