%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL102-1 : 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 : n006.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 9.52s 2.78s
% Output : Refutation 9.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 12 ( 11 unt; 0 def)
% Number of atoms : 14 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 11 ( 9 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 7 ( 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 : 26 ( 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lg_2) ).
fof(f3,axiom,
! [X2,X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X2,X1),X0)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',q_1) ).
fof(f4,axiom,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),equivalent(X2,X1)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',q_2) ).
fof(f5,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_p_1) ).
fof(f7,plain,
! [X2,X0,X1] : ~ is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X2,X1),X0))),equivalent(equivalent(equivalent(a,b),c),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c))))),
inference(unit_resulting_resolution,[],[f1,f3,f5]) ).
fof(f22,plain,
! [X0,X1] : ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,X0),equivalent(equivalent(a,b),c))),equivalent(equivalent(e,b),equivalent(equivalent(a,e),c)))),
inference(unit_resulting_resolution,[],[f1,f4,f7]) ).
fof(f27,plain,
~ is_a_theorem(equivalent(equivalent(equivalent(b,e),equivalent(equivalent(a,b),c)),equivalent(equivalent(a,e),c))),
inference(unit_resulting_resolution,[],[f1,f4,f22]) ).
fof(f33,plain,
! [X2,X0,X1] : ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),equivalent(X2,X1))),equivalent(equivalent(equivalent(b,e),equivalent(equivalent(a,b),c)),equivalent(equivalent(a,e),c)))),
inference(unit_resulting_resolution,[],[f1,f4,f27]) ).
fof(f44,plain,
! [X0] : ~ is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(b,e)),equivalent(X0,equivalent(equivalent(a,b),c))),equivalent(equivalent(a,e),c))),
inference(unit_resulting_resolution,[],[f1,f4,f33]) ).
fof(f53,plain,
! [X2,X3,X0,X1,X4] : ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3),equivalent(equivalent(equivalent(X4,equivalent(b,e)),equivalent(X4,equivalent(equivalent(a,b),c))),equivalent(equivalent(a,e),c)))),
inference(unit_resulting_resolution,[],[f1,f2,f44]) ).
fof(f857,plain,
$false,
inference(unit_resulting_resolution,[],[f1,f4,f2,f53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL102-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n006.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 15:21:10 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.44 Running first-order theorem proving
% 0.16/0.44 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
% 9.52/2.78 % (3089490)Input is clausal, will run a generic CNF schedule.
% 9.52/2.78 % (3089496)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1594116676:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 9.52/2.78 % (3089495)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=3258359987:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 9.52/2.78 % (3089497)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1818783951:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 9.52/2.78 % (3089500)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4061808459:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 9.52/2.78 % (3089499)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=961765911:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 9.52/2.78 % (3089498)lrs+10_1_sil=8000:sp=occurrence:random_seed=3473447487:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 9.52/2.78 % (3089501)dis-21_1_sil=8000:lcm=predicate:random_seed=1641029150: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)
% 9.52/2.78 % (3089498)Instruction limit reached!
% 9.52/2.78 % (3089498)------------------------------
% 9.52/2.78 % (3089498)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.52/2.78 % (3089498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.52/2.78 % (3089498)CaDiCaL version: 2.1.3
% 9.52/2.78 % (3089498)Termination reason: Instruction limit
% 9.52/2.78 % (3089498)Termination phase: Saturation
% 9.52/2.78 % (3089498)Time elapsed: 0.111 s
% 9.52/2.78 % (3089498)Peak memory usage: 88 MB
% 9.52/2.78 % (3089498)Instructions burned: 107 (million)
% 9.52/2.78 % (3089499)Instruction limit reached!
% 9.52/2.78 % (3089499)------------------------------
% 9.52/2.78 % (3089499)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.52/2.78 % (3089499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.52/2.78 % (3089499)CaDiCaL version: 2.1.3
% 9.52/2.78 % (3089499)Termination reason: Instruction limit
% 9.52/2.78 % (3089499)Termination phase: Saturation
% 9.52/2.78 % (3089499)Time elapsed: 0.121 s
% 9.52/2.78 % (3089499)Peak memory usage: 88 MB
% 9.52/2.78 % (3089499)Instructions burned: 114 (million)
% 9.52/2.78 % (3089501)Instruction limit reached!
% 9.52/2.78 % (3089501)------------------------------
% 9.52/2.78 % (3089501)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.52/2.78 % (3089501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.52/2.78 % (3089501)CaDiCaL version: 2.1.3
% 9.52/2.78 % (3089501)Termination reason: Instruction limit
% 9.52/2.78 % (3089501)Termination phase: Saturation
% 9.52/2.78 % (3089501)Time elapsed: 0.127 s
% 9.52/2.78 % (3089501)Peak memory usage: 88 MB
% 9.52/2.78 % (3089501)Instructions burned: 119 (million)
% 9.52/2.78 % (3089500)Instruction limit reached!
% 9.52/2.78 % (3089500)------------------------------
% 9.52/2.78 % (3089500)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.52/2.78 % (3089500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.52/2.78 % (3089500)CaDiCaL version: 2.1.3
% 9.52/2.78 % (3089500)Termination reason: Instruction limit
% 9.52/2.78 % (3089500)Termination phase: Saturation
% 9.52/2.78 % (3089500)Time elapsed: 0.193 s
% 9.52/2.78 % (3089500)Peak memory usage: 89 MB
% 9.52/2.78 % (3089500)Instructions burned: 180 (million)
% 9.52/2.78 % (3089509)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=1019911251:i=143:sd=2:aac=none:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/143Mi)
% 9.52/2.78 % (3089509)Refutation not found, incomplete strategy
% 9.52/2.78 % (3089509)------------------------------
% 9.52/2.78 % (3089509)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.52/2.78 % (3089509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.52/2.78 % (3089509)CaDiCaL version: 2.1.3
% 9.52/2.78 % (3089509)Termination reason: Refutation not found, incomplete strategy
% 9.52/2.78 % (3089509)Time elapsed: 0.002 s
% 9.52/2.78 % (3089509)Peak memory usage: 87 MB
% 9.52/2.78 % (3089510)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1701159771:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2995 on theBenchmark for (2995ds/189Mi)
% 9.52/2.78 % (3089511)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=457076136:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 9.52/2.78 % (3089511)Refutation not found, incomplete strategy
% 9.52/2.78 % (3089511)------------------------------
% 9.52/2.78 % (3089511)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.52/2.78 % (3089511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.52/2.78 % (3089511)CaDiCaL version: 2.1.3
% 9.52/2.78 % (3089511)Termination reason: Refutation not found, incomplete strategy
% 9.52/2.78 % (3089511)Time elapsed: 0.001 s
% 9.52/2.78 % (3089511)Peak memory usage: 87 MB
% 9.52/2.78 % (3089512)lrs+10_64_to=lpo:sil=8000:random_seed=3398170131:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 9.52/2.78 % (3089510)First to succeed.
% 9.52/2.78 % (3089510)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3089490"
% 9.52/2.78 % (3089496)Also succeeded, but the first one will report.
% 9.52/2.78 % (3089512)Instruction limit reached!
% 9.52/2.78 % (3089512)------------------------------
% 9.52/2.78 % (3089512)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.52/2.78 % (3089512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.52/2.78 % (3089512)CaDiCaL version: 2.1.3
% 9.52/2.78 % (3089512)Termination reason: Instruction limit
% 9.52/2.78 % (3089512)Termination phase: Saturation
% 9.52/2.78 % (3089512)Time elapsed: 0.132 s
% 9.52/2.78 % (3089512)Peak memory usage: 88 MB
% 9.52/2.78 % (3089512)Instructions burned: 127 (million)
% 9.52/2.78 % (3089509)------------------------------
% 9.52/2.78 % (3089509)------------------------------
% 9.52/2.78 % (3089511)------------------------------
% 9.52/2.78 % (3089511)------------------------------
% 9.52/2.78 % (3089510)Refutation found. Thanks to Tanya!
% 9.52/2.78 % SZS status Unsatisfiable for theBenchmark
% 9.52/2.78 % SZS output start Proof for theBenchmark
% See solution above
% 9.52/2.79 % (3089510)------------------------------
% 9.52/2.79 % (3089510)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.52/2.79 % (3089510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.52/2.79 % (3089510)CaDiCaL version: 2.1.3
% 9.52/2.79 % (3089510)Termination reason: Refutation
% 9.52/2.79 % (3089510)Time elapsed: 0.093 s
% 9.52/2.79 % (3089510)Peak memory usage: 89 MB
% 9.52/2.79 % (3089510)Instructions burned: 97 (million)
% 9.52/2.79 % (3089510)------------------------------
% 9.52/2.79 % (3089510)------------------------------
% 9.52/2.79 % (3089490)Success in time 1.215 s
% 9.52/2.79 % Vampire exiting
%------------------------------------------------------------------------------