%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL046-1 : 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 : n002.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 11:51:01 AM UTC 2026
% Result : Unsatisfiable 0.18s 1.70s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 10 ( 6 unt; 0 def)
% Number of atoms : 16 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 15 ( 9 ~; 6 |; 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 : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_1) ).
fof(f3,axiom,
! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_2) ).
fof(f4,axiom,
! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_3) ).
fof(f5,negated_conjecture,
~ is_a_theorem(implies(a,a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_16) ).
fof(f8,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f2,f1]) ).
fof(f18,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f8,f1]) ).
fof(f19,plain,
! [X0] :
( ~ is_a_theorem(implies(X0,a))
| ~ is_a_theorem(implies(a,X0)) ),
inference(resolution,[],[f18,f5]) ).
fof(f22,plain,
~ is_a_theorem(implies(a,implies(not(a),a))),
inference(resolution,[],[f19,f3]) ).
fof(f27,plain,
$false,
inference(resolution,[],[f22,f4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL046-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.36 % Computer : n002.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8046.5625MB
% 0.12/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Sun Sep 27 15:21:21 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.40 Running first-order theorem proving
% 0.15/0.40 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
% 0.18/1.70 % (3659863)Input is clausal, will run a generic CNF schedule.
% 0.18/1.70 % (3659869)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=89040353:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.18/1.70 % (3659874)dis-21_1_sil=8000:lcm=predicate:random_seed=747313019: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)
% 0.18/1.70 % (3659874)First to succeed.
% 0.18/1.70 % (3659874)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3659863"
% 0.18/1.70 % (3659868)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=3398206307:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.18/1.70 % (3659873)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1428295777:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.18/1.70 % (3659873)Also succeeded, but the first one will report.
% 0.18/1.70 % (3659872)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3655448539:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.18/1.70 % (3659870)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3756380177:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.18/1.70 % (3659871)lrs+10_1_sil=8000:sp=occurrence:random_seed=2751841187:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.18/1.70 % (3659871)Also succeeded, but the first one will report.
% 0.18/1.70 % (3659872)Instruction limit reached!
% 0.18/1.70 % (3659872)------------------------------
% 0.18/1.70 % (3659872)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.70 % (3659872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.70 % (3659872)CaDiCaL version: 2.1.3
% 0.18/1.70 % (3659872)Termination reason: Instruction limit
% 0.18/1.70 % (3659872)Termination phase: Saturation
% 0.18/1.70 % (3659872)Time elapsed: 0.091 s
% 0.18/1.70 % (3659872)Peak memory usage: 87 MB
% 0.18/1.70 % (3659872)Instructions burned: 115 (million)
% 0.18/1.70 % (3659874)Refutation found. Thanks to Tanya!
% 0.18/1.70 % SZS status Unsatisfiable for theBenchmark
% 0.18/1.70 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/1.70 % (3659874)------------------------------
% 0.18/1.70 % (3659874)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.70 % (3659874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.70 % (3659874)CaDiCaL version: 2.1.3
% 0.18/1.70 % (3659874)Termination reason: Refutation
% 0.18/1.70 % (3659874)Time elapsed: 0.002 s
% 0.18/1.70 % (3659874)Peak memory usage: 88 MB
% 0.18/1.70 % (3659874)Instructions burned: 1 (million)
% 0.18/1.70 % (3659874)------------------------------
% 0.18/1.70 % (3659874)------------------------------
% 0.18/1.70 % (3659863)Success in time 0.565 s
% 0.18/1.70 % Vampire exiting
%------------------------------------------------------------------------------