%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL190-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 11:51:29 AM UTC 2026
% Result : Unsatisfiable 2.03s 0.88s
% Output : Refutation 2.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 9 ( 5 unt; 0 def)
% Number of atoms : 14 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 14 ( 9 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_4) ).
fof(f5,axiom,
! [X2,X0,X1] : axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_6) ).
fof(f6,axiom,
! [X0] :
( theorem(X0)
| ~ axiom(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_1) ).
fof(f7,axiom,
! [X0,X1] :
( theorem(X0)
| ~ axiom(or(not(X1),X0))
| ~ theorem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_2) ).
fof(f9,negated_conjecture,
~ theorem(or(not(or(p,or(q,r))),or(p,or(r,q)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f11,plain,
! [X0] :
( ~ theorem(X0)
| ~ axiom(or(not(X0),or(not(or(p,or(q,r))),or(p,or(r,q))))) ),
inference(resolution,[],[f7,f9]) ).
fof(f13,plain,
! [X0] :
( ~ axiom(or(not(X0),or(not(or(p,or(q,r))),or(p,or(r,q)))))
| ~ axiom(X0) ),
inference(resolution,[],[f11,f6]) ).
fof(f17,plain,
~ axiom(or(not(or(q,r)),or(r,q))),
inference(resolution,[],[f13,f5]) ).
fof(f24,plain,
$false,
inference(resolution,[],[f17,f3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LCL190-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.03/0.31 % Computer : n012.cluster.edu
% 0.03/0.31 % Model : x86_64 x86_64
% 0.03/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.31 % Memory : 8046.5625MB
% 0.03/0.31 % OS : Linux 6.8.0-71-generic
% 0.03/0.31 % CPULimit : 300
% 0.03/0.31 % WCLimit : 300
% 0.03/0.31 % DateTime : Sun Sep 27 15:25:20 UTC 2026
% 0.03/0.31 % CPUTime :
% 0.03/0.31 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.33 Running first-order theorem proving
% 0.07/0.33 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
% 2.03/0.88 % (2510012)Input is clausal, will run a generic CNF schedule.
% 2.03/0.88 % (2510027)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=415861573:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.03/0.88 % (2510029)dis-21_1_sil=8000:lcm=predicate:random_seed=122020755: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)
% 2.03/0.88 % (2510026)lrs+10_1_sil=8000:sp=occurrence:random_seed=1505377144:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.03/0.88 % (2510024)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=312317493:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.03/0.88 % (2510028)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=679896362:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.03/0.88 % (2510023)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=2085361267:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.03/0.88 % (2510025)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3993518531:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.03/0.88 % (2510029)First to succeed.
% 2.03/0.88 % (2510028)Also succeeded, but the first one will report.
% 2.03/0.88 % (2510027)Also succeeded, but the first one will report.
% 2.03/0.88 % (2510026)Also succeeded, but the first one will report.
% 2.03/0.88 % (2510029)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2510012"
% 2.03/0.88 % (2510029)Refutation found. Thanks to Tanya!
% 2.03/0.88 % SZS status Unsatisfiable for theBenchmark
% 2.03/0.88 % SZS output start Proof for theBenchmark
% See solution above
% 2.03/0.88 % (2510029)------------------------------
% 2.03/0.88 % (2510029)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.03/0.88 % (2510029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.03/0.88 % (2510029)CaDiCaL version: 2.1.3
% 2.03/0.88 % (2510029)Termination reason: Refutation
% 2.03/0.88 % (2510029)Time elapsed: 0.001 s
% 2.03/0.88 % (2510029)Peak memory usage: 88 MB
% 2.03/0.88 % (2510029)Instructions burned: 1 (million)
% 2.03/0.88 % (2510029)------------------------------
% 2.03/0.88 % (2510029)------------------------------
% 2.03/0.88 % (2510012)Success in time 0.264 s
% 2.03/0.88 % Vampire exiting
%------------------------------------------------------------------------------