%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL230-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n008.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 11:58:06 AM UTC 2026
% Result : Unsatisfiable 0.99s 0.66s
% Output : Refutation 0.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 7
% Syntax : Number of formulae : 26 ( 12 unt; 0 def)
% Number of atoms : 59 ( 1 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 76 ( 43 ~; 33 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 51 ( 51 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] : axiom(implies(X0,or(X1,X0))),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_3) ).
fof(f4,axiom,
! [X2,X0,X1] : axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_5) ).
fof(f5,axiom,
! [X2,X0,X1] : axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_6) ).
fof(f6,axiom,
! [X0,X1] : implies(X0,X1) = or(not(X0),X1),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',implies_definition) ).
fof(f7,axiom,
! [X0] :
( theorem(X0)
| ~ axiom(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',rule_1) ).
fof(f8,axiom,
! [X0,X1] :
( theorem(X0)
| ~ theorem(implies(X1,X0))
| ~ theorem(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',rule_2) ).
fof(f9,negated_conjecture,
~ theorem(implies(implies(or(p,q),or(p,r)),or(p,implies(q,r)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f11,plain,
! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
inference(definition_unfolding,[],[f2,f6]) ).
fof(f13,plain,
! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(definition_unfolding,[],[f4,f6]) ).
fof(f14,plain,
! [X2,X0,X1] : axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(definition_unfolding,[],[f5,f6,f6,f6]) ).
fof(f15,plain,
! [X0,X1] :
( theorem(X0)
| ~ theorem(or(not(X1),X0))
| ~ theorem(X1) ),
inference(definition_unfolding,[],[f8,f6]) ).
fof(f16,plain,
~ theorem(or(not(or(not(or(p,q)),or(p,r))),or(p,or(not(q),r)))),
inference(definition_unfolding,[],[f9,f6,f6,f6]) ).
fof(f17,plain,
! [X0] :
( ~ theorem(X0)
| ~ axiom(X0) ),
inference(consistent_polarity_flipping,[],[f7]) ).
fof(f18,plain,
! [X0,X1] :
( theorem(or(not(X1),X0))
| ~ theorem(X0)
| theorem(X1) ),
inference(consistent_polarity_flipping,[],[f15]) ).
fof(f19,plain,
theorem(or(not(or(not(or(p,q)),or(p,r))),or(p,or(not(q),r)))),
inference(consistent_polarity_flipping,[],[f16]) ).
fof(f21,plain,
! [X0,X1] :
( theorem(X1)
| ~ theorem(X0)
| ~ axiom(or(not(X1),X0)) ),
inference(resolution,[],[f18,f17]) ).
fof(f22,plain,
! [X0,X1] :
( ~ theorem(X0)
| ~ axiom(or(not(X1),X0))
| ~ axiom(X1) ),
inference(resolution,[],[f21,f17]) ).
fof(f24,plain,
! [X2,X0,X1] :
( theorem(X1)
| ~ axiom(X0)
| ~ theorem(X2)
| ~ axiom(or(not(X0),or(not(X1),X2))) ),
inference(resolution,[],[f22,f18]) ).
fof(f31,plain,
! [X2,X0,X1] :
( ~ theorem(X1)
| ~ axiom(X0)
| ~ axiom(or(not(X0),or(not(X2),X1)))
| ~ axiom(X2) ),
inference(resolution,[],[f24,f17]) ).
fof(f68,plain,
! [X2,X3,X0,X1,X4] :
( ~ theorem(X4)
| ~ axiom(or(not(X0),or(not(X1),X2)))
| ~ axiom(X1)
| ~ axiom(X3)
| ~ axiom(X0)
| ~ axiom(or(not(X3),or(not(X2),X4))) ),
inference(resolution,[],[f31,f24]) ).
fof(f439,plain,
! [X2,X3,X0,X1] :
( ~ axiom(or(not(X3),or(not(X2),or(not(or(not(or(p,q)),or(p,r))),or(p,or(not(q),r))))))
| ~ axiom(or(not(X0),or(not(X1),X2)))
| ~ axiom(X3)
| ~ axiom(X0)
| ~ axiom(X1) ),
inference(resolution,[],[f68,f19]) ).
fof(f1256,plain,
! [X2,X0,X1] :
( ~ axiom(or(not(X0),or(p,or(not(q),r))))
| ~ axiom(or(not(X1),or(not(X2),or(not(or(not(or(p,q)),or(p,r))),X0))))
| ~ axiom(X1)
| ~ axiom(X2) ),
inference(resolution,[],[f439,f14]) ).
fof(f1319,plain,
! [X0,X1] :
( ~ axiom(or(not(X1),or(p,or(not(q),r))))
| ~ axiom(or(not(or(not(or(p,q)),or(p,r))),or(not(X0),X1)))
| ~ axiom(X0) ),
inference(resolution,[],[f1256,f13]) ).
fof(f1342,plain,
! [X0] :
( ~ axiom(or(not(or(X0,or(p,r))),or(p,or(not(q),r))))
| ~ axiom(or(X0,or(p,q))) ),
inference(resolution,[],[f1319,f14]) ).
fof(f1344,plain,
~ axiom(or(not(q),or(p,q))),
inference(resolution,[],[f1342,f13]) ).
fof(f1345,plain,
$false,
inference(resolution,[],[f1344,f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL230-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.15/0.40 % Computer : n008.cluster.edu
% 0.15/0.40 % Model : x86_64 x86_64
% 0.15/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.40 % Memory : 8046.5625MB
% 0.15/0.40 % OS : Linux 6.8.0-71-generic
% 0.15/0.40 % CPULimit : 300
% 0.15/0.40 % WCLimit : 300
% 0.15/0.40 % DateTime : Sun Sep 27 15:29:09 UTC 2026
% 0.15/0.41 % CPUTime :
% 0.15/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.21/0.46 Running first-order model finding
% 0.21/0.46 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.99/0.66 % (1385497)Will run a generic schedule for satisfiability detection.
% 0.99/0.66 % (1385506)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1798201329:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.99/0.66 % (1385503)% WARNING: option uhcvi not known.
% 0.99/0.66 % (1385504)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=804015977:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.99/0.66 % (1385508)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1974863459:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.99/0.66 % (1385503)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=627003019:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.99/0.66 % (1385505)dis+10_1_sil=32000:sp=arity:random_seed=4163556461:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.99/0.66 % (1385502)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=682602513_2999 on theBenchmark for (2999ds/0Mi)
% 0.99/0.66 % (1385507)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4122634133:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.99/0.66 % TRYING [1]
% 0.99/0.66 % TRYING [2]
% 0.99/0.66 % TRYING [3]
% 0.99/0.66 % (1385506)Instruction limit reached!
% 0.99/0.66 % (1385506)------------------------------
% 0.99/0.66 % (1385506)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.99/0.66 % (1385506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.99/0.66 % (1385506)CaDiCaL version: 2.1.3
% 0.99/0.66 % (1385506)Termination reason: Instruction limit
% 0.99/0.66 % (1385506)Termination phase: Saturation
% 0.99/0.66 % (1385506)Time elapsed: 0.048 s
% 0.99/0.66 % (1385506)Peak memory usage: 11 MB
% 0.99/0.66 % (1385506)Instructions burned: 119 (million)
% 0.99/0.66 % TRYING [4]
% 0.99/0.66 % (1385516)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1143148856:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.99/0.66 % TRYING [1]
% 0.99/0.66 % TRYING [2]
% 0.99/0.66 % TRYING [3]
% 0.99/0.66 % TRYING [4]
% 0.99/0.66 % (1385505)Instruction limit reached!
% 0.99/0.66 % (1385505)------------------------------
% 0.99/0.66 % (1385505)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.99/0.66 % (1385505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.99/0.66 % (1385505)CaDiCaL version: 2.1.3
% 0.99/0.66 % (1385505)Termination reason: Instruction limit
% 0.99/0.66 % (1385505)Termination phase: Saturation
% 0.99/0.66 % (1385505)Time elapsed: 0.103 s
% 0.99/0.66 % (1385505)Peak memory usage: 12 MB
% 0.99/0.66 % (1385505)Instructions burned: 104 (million)
% 0.99/0.66 % (1385508) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1385497-1385508"...
% 0.99/0.66 % (1385508)...printing done.
% 0.99/0.66 % (1385508)Refutation found. Thanks to Tanya!
% 0.99/0.66 % SZS status Unsatisfiable for theBenchmark
% 0.99/0.66 % SZS output start Proof for theBenchmark
% See solution above
% 0.99/0.66 % (1385508)------------------------------
% 0.99/0.66 % (1385508)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.99/0.66 % (1385508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.99/0.66 % (1385508)CaDiCaL version: 2.1.3
% 0.99/0.66 % (1385508)Termination reason: Refutation
% 0.99/0.66 % (1385508)Time elapsed: 0.118 s
% 0.99/0.66 % (1385508)Peak memory usage: 12 MB
% 0.99/0.66 % (1385508)Instructions burned: 114 (million)
% 0.99/0.66 % (1385497)Success in time 0.178 s
% 0.99/0.66 % Vampire exiting
%------------------------------------------------------------------------------