TSTP Solution File: LCL301-3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : LCL301-3 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 17:47:49 EDT 2022
% Result : Unsatisfiable 1.33s 0.53s
% Output : Refutation 1.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 29 ( 17 unt; 0 def)
% Number of atoms : 45 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 35 ( 19 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 48 ( 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f156,plain,
$false,
inference(resolution,[],[f134,f83]) ).
fof(f83,plain,
~ theorem(or(not(not(or(not(not(p)),not(q)))),not(or(not(not(p)),not(q))))),
inference(resolution,[],[f82,f17]) ).
fof(f17,plain,
~ theorem(not(or(not(or(not(not(or(not(not(p)),not(q)))),not(or(not(not(p)),not(q))))),not(or(not(not(or(not(not(p)),not(q)))),not(or(not(not(p)),not(q)))))))),
inference(definition_unfolding,[],[f11,f12,f6,f9]) ).
fof(f9,axiom,
! [X6,X5] : and(X5,X6) = not(or(not(X5),not(X6))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_defn) ).
fof(f6,axiom,
! [X3,X4] : implies(X3,X4) = or(not(X3),X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',implies_definition) ).
fof(f12,plain,
! [X6,X5] : equivalent(X5,X6) = not(or(not(or(not(X5),X6)),not(or(not(X6),X5)))),
inference(definition_unfolding,[],[f10,f9,f6,f6]) ).
fof(f10,axiom,
! [X6,X5] : equivalent(X5,X6) = and(implies(X5,X6),implies(X6,X5)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equivalent_defn) ).
fof(f11,axiom,
~ theorem(equivalent(not(implies(not(p),not(q))),and(not(p),q))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f82,plain,
! [X0] :
( theorem(not(or(not(X0),not(X0))))
| ~ theorem(X0) ),
inference(resolution,[],[f42,f16]) ).
fof(f16,plain,
! [X0] : axiom(or(not(or(X0,X0)),X0)),
inference(definition_unfolding,[],[f1,f6]) ).
fof(f1,axiom,
! [X0] : axiom(implies(or(X0,X0),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_2) ).
fof(f42,plain,
! [X3,X4] :
( ~ axiom(or(X3,not(X4)))
| ~ theorem(X4)
| theorem(X3) ),
inference(resolution,[],[f31,f13]) ).
fof(f13,plain,
! [X3,X4] :
( ~ theorem(or(not(X4),X3))
| theorem(X3)
| ~ theorem(X4) ),
inference(definition_unfolding,[],[f8,f6]) ).
fof(f8,axiom,
! [X3,X4] :
( theorem(X3)
| ~ theorem(implies(X4,X3))
| ~ theorem(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_2) ).
fof(f31,plain,
! [X2,X3] :
( theorem(or(X2,X3))
| ~ axiom(or(X3,X2)) ),
inference(resolution,[],[f23,f7]) ).
fof(f7,axiom,
! [X3] :
( theorem(X3)
| ~ axiom(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_1) ).
fof(f23,plain,
! [X2,X1] :
( ~ theorem(or(X2,X1))
| theorem(or(X1,X2)) ),
inference(resolution,[],[f21,f14]) ).
fof(f14,plain,
! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
inference(definition_unfolding,[],[f3,f6]) ).
fof(f3,axiom,
! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_4) ).
fof(f21,plain,
! [X0,X1] :
( ~ axiom(or(not(X1),X0))
| theorem(X0)
| ~ theorem(X1) ),
inference(resolution,[],[f13,f7]) ).
fof(f134,plain,
! [X0] : theorem(or(not(X0),X0)),
inference(resolution,[],[f79,f18]) ).
fof(f18,plain,
! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
inference(definition_unfolding,[],[f2,f6]) ).
fof(f2,axiom,
! [X0,X1] : axiom(implies(X0,or(X1,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_3) ).
fof(f79,plain,
! [X10,X11] :
( ~ axiom(or(X10,or(or(X10,X11),X11)))
| theorem(or(X10,X11)) ),
inference(resolution,[],[f37,f22]) ).
fof(f22,plain,
! [X0] :
( ~ theorem(or(X0,X0))
| theorem(X0) ),
inference(resolution,[],[f21,f16]) ).
fof(f37,plain,
! [X8,X6,X7] :
( theorem(or(X6,or(X7,X8)))
| ~ axiom(or(X7,or(X6,X8))) ),
inference(resolution,[],[f24,f7]) ).
fof(f24,plain,
! [X3,X4,X5] :
( ~ theorem(or(X4,or(X3,X5)))
| theorem(or(X3,or(X4,X5))) ),
inference(resolution,[],[f21,f19]) ).
fof(f19,plain,
! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(definition_unfolding,[],[f4,f6]) ).
fof(f4,axiom,
! [X2,X0,X1] : axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_5) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : LCL301-3 : TPTP v8.1.0. Released v2.3.0.
% 0.08/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.35 % Computer : n017.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Tue Aug 30 01:16:05 EDT 2022
% 0.12/0.35 % CPUTime :
% 0.21/0.51 % (3061)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.52 % (3071)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.52 % (3062)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.52 % (3078)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.52 TRYING [1]
% 0.21/0.52 % (3062)First to succeed.
% 0.21/0.52 TRYING [2]
% 1.33/0.53 % (3062)Refutation found. Thanks to Tanya!
% 1.33/0.53 % SZS status Unsatisfiable for theBenchmark
% 1.33/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 1.33/0.53 % (3062)------------------------------
% 1.33/0.53 % (3062)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.53 % (3062)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.53 % (3062)Termination reason: Refutation
% 1.33/0.53
% 1.33/0.53 % (3062)Memory used [KB]: 1023
% 1.33/0.53 % (3062)Time elapsed: 0.119 s
% 1.33/0.53 % (3062)Instructions burned: 9 (million)
% 1.33/0.53 % (3062)------------------------------
% 1.33/0.53 % (3062)------------------------------
% 1.33/0.53 % (3057)Success in time 0.172 s
%------------------------------------------------------------------------------