TSTP Solution File: LCL216-3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL216-3 : TPTP v8.2.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n032.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 May 21 00:25:21 EDT 2024
% Result : Unsatisfiable 32.81s 5.04s
% Output : Refutation 32.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 40 ( 16 unt; 0 def)
% Number of atoms : 70 ( 1 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 64 ( 34 ~; 30 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 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 : 88 ( 88 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f75565,plain,
$false,
inference(subsumption_resolution,[],[f75557,f11]) ).
fof(f11,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/sandbox2/benchmark/theBenchmark.p',implies_definition) ).
fof(f3,axiom,
! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_4) ).
fof(f75557,plain,
~ axiom(implies(or(p,not(q)),implies(q,p))),
inference(resolution,[],[f75552,f957]) ).
fof(f957,plain,
! [X2,X0,X1] :
( theorem(implies(X0,implies(X1,X2)))
| ~ axiom(implies(X1,implies(X0,X2))) ),
inference(resolution,[],[f198,f7]) ).
fof(f7,axiom,
! [X3] :
( theorem(X3)
| ~ axiom(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_1) ).
fof(f198,plain,
! [X2,X0,X1] :
( ~ theorem(implies(X0,implies(X2,X1)))
| theorem(implies(X2,implies(X0,X1))) ),
inference(forward_demodulation,[],[f197,f6]) ).
fof(f197,plain,
! [X2,X0,X1] :
( theorem(implies(X2,implies(X0,X1)))
| ~ theorem(or(not(X0),implies(X2,X1))) ),
inference(superposition,[],[f90,f6]) ).
fof(f90,plain,
! [X2,X0,X1] :
( theorem(implies(X1,or(X0,X2)))
| ~ theorem(or(X0,implies(X1,X2))) ),
inference(resolution,[],[f47,f14]) ).
fof(f14,plain,
! [X0,X1] :
( ~ axiom(implies(X1,X0))
| ~ theorem(X1)
| theorem(X0) ),
inference(resolution,[],[f8,f7]) ).
fof(f8,axiom,
! [X3,X4] :
( ~ theorem(implies(X4,X3))
| theorem(X3)
| ~ theorem(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_2) ).
fof(f47,plain,
! [X2,X0,X1] : axiom(implies(or(X2,implies(X0,X1)),implies(X0,or(X2,X1)))),
inference(forward_demodulation,[],[f43,f6]) ).
fof(f43,plain,
! [X2,X0,X1] : axiom(implies(or(X2,implies(X0,X1)),or(not(X0),or(X2,X1)))),
inference(superposition,[],[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) ).
fof(f75552,plain,
~ theorem(implies(q,implies(or(p,not(q)),p))),
inference(subsumption_resolution,[],[f75462,f13]) ).
fof(f13,plain,
! [X0,X1] : axiom(implies(X1,implies(X0,X1))),
inference(superposition,[],[f2,f6]) ).
fof(f2,axiom,
! [X0,X1] : axiom(implies(X0,or(X1,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_3) ).
fof(f75462,plain,
( ~ axiom(implies(p,implies(or(p,not(q)),p)))
| ~ theorem(implies(q,implies(or(p,not(q)),p))) ),
inference(resolution,[],[f11826,f9]) ).
fof(f9,axiom,
~ theorem(implies(or(p,q),implies(or(p,not(q)),p))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f11826,plain,
! [X2,X0,X1] :
( theorem(implies(or(X2,X0),X1))
| ~ axiom(implies(X2,X1))
| ~ theorem(implies(X0,X1)) ),
inference(resolution,[],[f2344,f162]) ).
fof(f162,plain,
! [X0,X1] :
( ~ theorem(or(implies(X0,X1),X1))
| theorem(implies(X0,X1)) ),
inference(forward_demodulation,[],[f161,f6]) ).
fof(f161,plain,
! [X0,X1] :
( ~ theorem(or(implies(X0,X1),X1))
| theorem(or(not(X0),X1)) ),
inference(superposition,[],[f147,f6]) ).
fof(f147,plain,
! [X0,X1] :
( ~ theorem(or(or(X0,X1),X1))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f114,f15]) ).
fof(f15,plain,
! [X0] :
( ~ theorem(or(X0,X0))
| theorem(X0) ),
inference(resolution,[],[f14,f1]) ).
fof(f1,axiom,
! [X0] : axiom(implies(or(X0,X0),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_2) ).
fof(f114,plain,
! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ theorem(or(X0,X2)) ),
inference(resolution,[],[f42,f17]) ).
fof(f17,plain,
! [X0,X1] :
( theorem(or(X1,X0))
| ~ theorem(X0) ),
inference(resolution,[],[f14,f2]) ).
fof(f42,plain,
! [X2,X0,X1] :
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(X1,or(X0,X2))) ),
inference(resolution,[],[f4,f14]) ).
fof(f2344,plain,
! [X2,X3,X0,X1] :
( theorem(or(implies(or(X2,X0),X1),X3))
| ~ theorem(implies(X0,X1))
| ~ axiom(implies(X2,X3)) ),
inference(resolution,[],[f1066,f743]) ).
fof(f743,plain,
! [X2,X0,X1] :
( ~ theorem(or(X0,X2))
| theorem(or(X0,X1))
| ~ axiom(implies(X2,X1)) ),
inference(resolution,[],[f141,f7]) ).
fof(f141,plain,
! [X2,X0,X1] :
( ~ theorem(implies(X0,X1))
| theorem(or(X2,X1))
| ~ theorem(or(X2,X0)) ),
inference(resolution,[],[f67,f8]) ).
fof(f67,plain,
! [X2,X0,X1] :
( theorem(implies(or(X2,X0),or(X2,X1)))
| ~ theorem(implies(X0,X1)) ),
inference(resolution,[],[f5,f14]) ).
fof(f5,axiom,
! [X2,X0,X1] : axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_6) ).
fof(f1066,plain,
! [X2,X0,X1] :
( theorem(or(implies(or(X2,X0),X1),X2))
| ~ theorem(implies(X0,X1)) ),
inference(resolution,[],[f330,f16]) ).
fof(f16,plain,
! [X0,X1] :
( ~ theorem(or(X0,X1))
| theorem(or(X1,X0)) ),
inference(resolution,[],[f14,f3]) ).
fof(f330,plain,
! [X2,X0,X1] :
( theorem(or(X0,implies(or(X0,X1),X2)))
| ~ theorem(implies(X1,X2)) ),
inference(resolution,[],[f106,f67]) ).
fof(f106,plain,
! [X2,X0,X1] :
( ~ theorem(implies(X0,or(X1,X2)))
| theorem(or(X1,implies(X0,X2))) ),
inference(resolution,[],[f48,f14]) ).
fof(f48,plain,
! [X2,X0,X1] : axiom(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))),
inference(forward_demodulation,[],[f44,f6]) ).
fof(f44,plain,
! [X2,X0,X1] : axiom(implies(implies(X0,or(X1,X2)),or(X1,or(not(X0),X2)))),
inference(superposition,[],[f4,f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : LCL216-3 : TPTP v8.2.0. Released v2.3.0.
% 0.09/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.09/0.30 % Computer : n032.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Mon May 20 02:10:23 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.09/0.30 % (9681)Running in auto input_syntax mode. Trying TPTP
% 0.09/0.31 % (9684)WARNING: value z3 for option sas not known
% 0.09/0.31 % (9686)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)
% 0.09/0.31 % (9685)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.09/0.31 % (9687)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)
% 0.09/0.31 % (9684)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)
% 0.09/0.31 TRYING [1]
% 0.14/0.31 TRYING [2]
% 0.14/0.31 % (9682)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.31 TRYING [3]
% 0.14/0.32 TRYING [1]
% 0.14/0.32 TRYING [2]
% 0.14/0.32 TRYING [3]
% 0.14/0.32 % (9683)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.32 % (9688)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)
% 0.14/0.32 TRYING [4]
% 0.14/0.32 TRYING [4]
% 0.14/0.35 TRYING [5]
% 0.14/0.35 TRYING [5]
% 0.14/0.44 TRYING [6]
% 0.14/0.48 TRYING [6]
% 2.94/0.75 TRYING [7]
% 5.05/1.06 TRYING [7]
% 7.56/1.42 TRYING [1]
% 7.56/1.42 TRYING [2]
% 7.56/1.42 TRYING [3]
% 7.56/1.42 TRYING [4]
% 7.56/1.45 TRYING [5]
% 8.63/1.57 TRYING [6]
% 12.80/2.13 TRYING [7]
% 13.41/2.24 TRYING [8]
% 25.35/3.94 TRYING [8]
% 29.59/4.57 TRYING [8]
% 32.81/5.04 % (9684)First to succeed.
% 32.81/5.04 % (9684)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-9681"
% 32.81/5.04 % (9684)Refutation found. Thanks to Tanya!
% 32.81/5.04 % SZS status Unsatisfiable for theBenchmark
% 32.81/5.04 % SZS output start Proof for theBenchmark
% See solution above
% 32.81/5.04 % (9684)------------------------------
% 32.81/5.04 % (9684)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 32.81/5.04 % (9684)Termination reason: Refutation
% 32.81/5.04
% 32.81/5.04 % (9684)Memory used [KB]: 30499
% 32.81/5.04 % (9684)Time elapsed: 4.725 s
% 32.81/5.04 % (9684)Instructions burned: 16278 (million)
% 32.81/5.04 % (9681)Success in time 4.72 s
%------------------------------------------------------------------------------