TSTP Solution File: LCL186-3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL186-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n029.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 : Tue Apr 30 13:40:48 EDT 2024
% Result : Unsatisfiable 0.11s 0.36s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 18 ( 10 unt; 0 def)
% Number of atoms : 33 ( 1 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 36 ( 21 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 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 : 32 ( 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f219,plain,
$false,
inference(resolution,[],[f205,f2]) ).
fof(f2,axiom,
! [X0,X1] : axiom(implies(X0,or(X1,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_3) ).
fof(f205,plain,
~ axiom(implies(not(p),or(q,not(p)))),
inference(resolution,[],[f204,f12]) ).
fof(f12,plain,
! [X0,X1] : axiom(implies(or(X1,not(X0)),implies(X0,X1))),
inference(superposition,[],[f3,f6]) ).
fof(f6,axiom,
! [X3,X4] : implies(X3,X4) = or(not(X3),X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',implies_definition) ).
fof(f3,axiom,
! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_4) ).
fof(f204,plain,
! [X0] :
( ~ axiom(implies(X0,implies(p,q)))
| ~ axiom(implies(not(p),X0)) ),
inference(resolution,[],[f197,f47]) ).
fof(f47,plain,
! [X2,X0,X1] : axiom(implies(implies(X1,X2),implies(implies(X0,X1),implies(X0,X2)))),
inference(forward_demodulation,[],[f45,f6]) ).
fof(f45,plain,
! [X2,X0,X1] : axiom(implies(implies(X1,X2),implies(implies(X0,X1),or(not(X0),X2)))),
inference(superposition,[],[f5,f6]) ).
fof(f5,axiom,
! [X2,X0,X1] : axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_6) ).
fof(f197,plain,
! [X0,X1] :
( ~ axiom(implies(X0,implies(X1,implies(not(p),implies(p,q)))))
| ~ axiom(X1)
| ~ axiom(X0) ),
inference(resolution,[],[f186,f7]) ).
fof(f7,axiom,
! [X3] :
( theorem(X3)
| ~ axiom(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_1) ).
fof(f186,plain,
! [X0,X1] :
( ~ theorem(X1)
| ~ axiom(implies(X1,implies(X0,implies(not(p),implies(p,q)))))
| ~ axiom(X0) ),
inference(resolution,[],[f179,f7]) ).
fof(f179,plain,
! [X0,X1] :
( ~ theorem(X1)
| ~ theorem(X0)
| ~ axiom(implies(X0,implies(X1,implies(not(p),implies(p,q))))) ),
inference(resolution,[],[f25,f9]) ).
fof(f9,axiom,
~ theorem(implies(not(p),implies(p,q))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f25,plain,
! [X2,X0,X1] :
( theorem(X2)
| ~ axiom(implies(X0,implies(X1,X2)))
| ~ theorem(X0)
| ~ theorem(X1) ),
inference(resolution,[],[f15,f8]) ).
fof(f8,axiom,
! [X3,X4] :
( ~ theorem(implies(X4,X3))
| theorem(X3)
| ~ theorem(X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_2) ).
fof(f15,plain,
! [X0,X1] :
( theorem(X0)
| ~ theorem(X1)
| ~ axiom(implies(X1,X0)) ),
inference(resolution,[],[f8,f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : LCL186-3 : TPTP v8.1.2. Released v2.3.0.
% 0.09/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32 % Computer : n029.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon Apr 29 22:50:19 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.33 % (6130)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.34 % (6133)WARNING: value z3 for option sas not known
% 0.11/0.34 % (6131)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.11/0.34 % (6136)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.11/0.34 % (6134)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.11/0.34 % (6133)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.34 % (6132)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.11/0.34 % (6135)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.11/0.34 % (6137)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.11/0.34 TRYING [1]
% 0.11/0.34 TRYING [2]
% 0.11/0.34 TRYING [1]
% 0.11/0.34 TRYING [2]
% 0.11/0.34 TRYING [3]
% 0.11/0.35 TRYING [3]
% 0.11/0.35 TRYING [4]
% 0.11/0.35 TRYING [4]
% 0.11/0.35 % (6136)First to succeed.
% 0.11/0.36 % (6136)Refutation found. Thanks to Tanya!
% 0.11/0.36 % SZS status Unsatisfiable for theBenchmark
% 0.11/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.36 % (6136)------------------------------
% 0.11/0.36 % (6136)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.11/0.36 % (6136)Termination reason: Refutation
% 0.11/0.36
% 0.11/0.36 % (6136)Memory used [KB]: 923
% 0.11/0.36 % (6136)Time elapsed: 0.014 s
% 0.11/0.36 % (6136)Instructions burned: 23 (million)
% 0.11/0.36 % (6136)------------------------------
% 0.11/0.36 % (6136)------------------------------
% 0.11/0.36 % (6130)Success in time 0.028 s
%------------------------------------------------------------------------------