%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL212-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 11:51:35 AM UTC 2026
% Result : Unsatisfiable 4.54s 2.09s
% Output : Refutation 4.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 12 ( 8 unt; 0 def)
% Number of atoms : 18 ( 1 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 15 ( 9 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] : axiom(implies(X0,or(X1,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_3) ).
fof(f6,axiom,
! [X0,X1] : implies(X0,X1) = or(not(X0),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',implies_definition) ).
fof(f7,axiom,
! [X0] :
( ~ axiom(X0)
| theorem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_1) ).
fof(f8,axiom,
! [X0,X1] :
( theorem(X0)
| ~ theorem(implies(X1,X0))
| ~ theorem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_2) ).
fof(f9,negated_conjecture,
~ theorem(implies(not(p),implies(q,implies(implies(p,q),q)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f10,plain,
~ theorem(or(not(not(p)),or(not(q),or(not(or(not(p),q)),q)))),
inference(definition_unfolding,[],[f9,f6,f6,f6,f6]) ).
fof(f11,plain,
! [X0,X1] :
( ~ theorem(or(not(X1),X0))
| theorem(X0)
| ~ theorem(X1) ),
inference(definition_unfolding,[],[f8,f6]) ).
fof(f15,plain,
! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
inference(definition_unfolding,[],[f2,f6]) ).
fof(f17,plain,
! [X0,X1] : theorem(or(not(X0),or(X1,X0))),
inference(resolution,[],[f15,f7]) ).
fof(f19,plain,
! [X0,X1] :
( theorem(or(X0,X1))
| ~ theorem(X1) ),
inference(resolution,[],[f11,f17]) ).
fof(f20,plain,
~ theorem(or(not(q),or(not(or(not(p),q)),q))),
inference(resolution,[],[f19,f10]) ).
fof(f22,plain,
$false,
inference(forward_subsumption_resolution,[],[f20,f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL212-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.20/0.47 % Computer : n003.cluster.edu
% 0.20/0.47 % Model : x86_64 x86_64
% 0.20/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.47 % Memory : 8046.5625MB
% 0.20/0.47 % OS : Linux 6.8.0-71-generic
% 0.20/0.47 % CPULimit : 300
% 0.20/0.47 % WCLimit : 300
% 0.20/0.47 % DateTime : Sun Sep 27 15:28:26 UTC 2026
% 0.20/0.47 % CPUTime :
% 0.20/0.48 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.52 Running first-order theorem proving
% 0.25/0.52 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
% 4.54/2.09 % (706395)Input is clausal, will run a generic CNF schedule.
% 4.54/2.09 % (706420)lrs+10_1_sil=8000:sp=occurrence:random_seed=2687680716:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.54/2.09 % (706420)First to succeed.
% 4.54/2.09 % (706420)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-706395"
% 4.54/2.09 % (706417)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=3783436471:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.54/2.09 % (706418)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1024109799:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.54/2.09 % (706419)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2896899808:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.54/2.09 % (706421)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=548485194:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.54/2.09 % (706422)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3704382177:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.54/2.09 % (706422)Also succeeded, but the first one will report.
% 4.54/2.09 % (706423)dis-21_1_sil=8000:lcm=predicate:random_seed=1225486152: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)
% 4.54/2.09 % (706423)Also succeeded, but the first one will report.
% 4.54/2.09 % (706421)Instruction limit reached!
% 4.54/2.09 % (706421)------------------------------
% 4.54/2.09 % (706421)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.54/2.09 % (706421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.54/2.09 % (706421)CaDiCaL version: 2.1.3
% 4.54/2.09 % (706421)Termination reason: Instruction limit
% 4.54/2.09 % (706421)Termination phase: Saturation
% 4.54/2.09 % (706421)Time elapsed: 0.095 s
% 4.54/2.09 % (706421)Peak memory usage: 87 MB
% 4.54/2.09 % (706421)Instructions burned: 114 (million)
% 4.54/2.09 % (706420)Refutation found. Thanks to Tanya!
% 4.54/2.09 % SZS status Unsatisfiable for theBenchmark
% 4.54/2.09 % SZS output start Proof for theBenchmark
% See solution above
% 4.54/2.09 % (706420)------------------------------
% 4.54/2.09 % (706420)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.54/2.09 % (706420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.54/2.09 % (706420)CaDiCaL version: 2.1.3
% 4.54/2.09 % (706420)Termination reason: Refutation
% 4.54/2.09 % (706420)Time elapsed: 0.002 s
% 4.54/2.09 % (706420)Peak memory usage: 88 MB
% 4.54/2.09 % (706420)------------------------------
% 4.54/2.09 % (706420)------------------------------
% 4.54/2.09 % (706395)Success in time 0.486 s
% 4.54/2.09 % Vampire exiting
%------------------------------------------------------------------------------