TSTP Solution File: LCL203-3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL203-3 : 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 : n003.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 13:40:54 EDT 2024
% Result : Unsatisfiable 0.22s 0.41s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 9
% Syntax : Number of formulae : 43 ( 16 unt; 0 def)
% Number of atoms : 75 ( 1 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 70 ( 38 ~; 32 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 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 : 83 ( 83 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f862,plain,
$false,
inference(subsumption_resolution,[],[f857,f531]) ).
fof(f531,plain,
! [X0] : theorem(implies(X0,X0)),
inference(resolution,[],[f527,f2]) ).
fof(f2,axiom,
! [X0,X1] : axiom(implies(X0,or(X1,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_3) ).
fof(f527,plain,
! [X0,X1] :
( ~ axiom(implies(X0,or(X1,X1)))
| theorem(implies(X0,X1)) ),
inference(forward_demodulation,[],[f526,f6]) ).
fof(f6,axiom,
! [X3,X4] : implies(X3,X4) = or(not(X3),X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',implies_definition) ).
fof(f526,plain,
! [X0,X1] :
( ~ axiom(implies(X0,or(X1,X1)))
| theorem(or(not(X0),X1)) ),
inference(superposition,[],[f514,f6]) ).
fof(f514,plain,
! [X0,X1] :
( ~ axiom(or(X0,or(X1,X1)))
| theorem(or(X0,X1)) ),
inference(resolution,[],[f117,f385]) ).
fof(f385,plain,
! [X0,X1] :
( ~ theorem(or(X0,or(X1,X0)))
| theorem(or(X1,X0)) ),
inference(resolution,[],[f368,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/sandbox/benchmark/theBenchmark.p',axiom_1_2) ).
fof(f14,plain,
! [X0,X1] :
( ~ axiom(implies(X1,X0))
| ~ theorem(X1)
| theorem(X0) ),
inference(resolution,[],[f8,f7]) ).
fof(f7,axiom,
! [X3] :
( theorem(X3)
| ~ axiom(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_1) ).
fof(f8,axiom,
! [X3,X4] :
( ~ theorem(implies(X4,X3))
| theorem(X3)
| ~ theorem(X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_2) ).
fof(f368,plain,
! [X2,X0,X1] :
( theorem(or(X1,or(X2,X0)))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f275,f42]) ).
fof(f42,plain,
! [X2,X0,X1] :
( ~ theorem(or(X0,or(X1,X2)))
| theorem(or(X1,or(X0,X2))) ),
inference(resolution,[],[f4,f14]) ).
fof(f4,axiom,
! [X2,X0,X1] : axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_5) ).
fof(f275,plain,
! [X2,X0,X1] :
( theorem(or(X2,or(X1,X0)))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f249,f3]) ).
fof(f3,axiom,
! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_4) ).
fof(f249,plain,
! [X2,X0,X1] :
( ~ axiom(implies(X2,X1))
| ~ theorem(X2)
| theorem(or(X0,X1)) ),
inference(resolution,[],[f191,f7]) ).
fof(f191,plain,
! [X2,X0,X1] :
( ~ theorem(implies(X0,X1))
| theorem(or(X2,X1))
| ~ theorem(X0) ),
inference(resolution,[],[f153,f8]) ).
fof(f153,plain,
! [X2,X0,X1] :
( theorem(implies(X0,or(X1,X2)))
| ~ theorem(implies(X0,X2)) ),
inference(forward_demodulation,[],[f152,f6]) ).
fof(f152,plain,
! [X2,X0,X1] :
( theorem(implies(X0,or(X1,X2)))
| ~ theorem(or(not(X0),X2)) ),
inference(superposition,[],[f116,f6]) ).
fof(f116,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(f117,plain,
! [X2,X0,X1] :
( theorem(or(X0,or(X1,X2)))
| ~ axiom(or(X1,or(X0,X2))) ),
inference(resolution,[],[f42,f7]) ).
fof(f857,plain,
~ theorem(implies(q,q)),
inference(resolution,[],[f848,f153]) ).
fof(f848,plain,
~ theorem(implies(q,or(p,q))),
inference(forward_demodulation,[],[f837,f6]) ).
fof(f837,plain,
~ theorem(or(not(q),or(p,q))),
inference(resolution,[],[f821,f234]) ).
fof(f234,plain,
~ theorem(implies(not(or(p,q)),not(q))),
inference(resolution,[],[f190,f26]) ).
fof(f26,plain,
~ theorem(implies(not(or(p,q)),implies(p,not(q)))),
inference(forward_demodulation,[],[f9,f6]) ).
fof(f9,axiom,
~ theorem(implies(not(or(p,q)),or(not(p),not(q)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f190,plain,
! [X2,X0,X1] :
( theorem(implies(X0,implies(X1,X2)))
| ~ theorem(implies(X0,X2)) ),
inference(forward_demodulation,[],[f189,f6]) ).
fof(f189,plain,
! [X2,X0,X1] :
( theorem(implies(X0,implies(X1,X2)))
| ~ theorem(or(not(X0),X2)) ),
inference(superposition,[],[f151,f6]) ).
fof(f151,plain,
! [X2,X0,X1] :
( theorem(or(X2,implies(X0,X1)))
| ~ theorem(or(X2,X1)) ),
inference(superposition,[],[f116,f6]) ).
fof(f821,plain,
! [X0,X1] :
( theorem(implies(not(X1),X0))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f635,f71]) ).
fof(f71,plain,
! [X0,X1] :
( ~ theorem(or(X0,not(X1)))
| theorem(implies(X1,X0)) ),
inference(resolution,[],[f11,f14]) ).
fof(f11,plain,
! [X0,X1] : axiom(implies(or(X1,not(X0)),implies(X0,X1))),
inference(superposition,[],[f3,f6]) ).
fof(f635,plain,
! [X0,X1] :
( theorem(or(X0,not(not(X1))))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[],[f143,f538]) ).
fof(f538,plain,
! [X0] : theorem(implies(X0,not(not(X0)))),
inference(resolution,[],[f531,f79]) ).
fof(f79,plain,
! [X0,X1] :
( ~ theorem(implies(X0,not(X1)))
| theorem(implies(X1,not(X0))) ),
inference(superposition,[],[f71,f6]) ).
fof(f143,plain,
! [X2,X0,X1] :
( ~ theorem(implies(X0,X1))
| theorem(or(X2,X1))
| ~ theorem(or(X2,X0)) ),
inference(resolution,[],[f66,f8]) ).
fof(f66,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/sandbox/benchmark/theBenchmark.p',axiom_1_6) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LCL203-3 : TPTP v8.1.2. Released v2.3.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n003.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon Apr 29 23:01:18 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (4873)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (4877)WARNING: value z3 for option sas not known
% 0.15/0.38 % (4878)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (4875)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (4876)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (4877)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)
% 0.15/0.38 % (4880)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)
% 0.15/0.38 % (4879)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)
% 0.15/0.38 % (4881)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)
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [3]
% 0.22/0.39 TRYING [4]
% 0.22/0.40 TRYING [4]
% 0.22/0.41 % (4877)First to succeed.
% 0.22/0.41 % (4877)Refutation found. Thanks to Tanya!
% 0.22/0.41 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.41 % (4877)------------------------------
% 0.22/0.41 % (4877)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.41 % (4877)Termination reason: Refutation
% 0.22/0.41
% 0.22/0.41 % (4877)Memory used [KB]: 1107
% 0.22/0.41 % (4877)Time elapsed: 0.033 s
% 0.22/0.41 % (4877)Instructions burned: 50 (million)
% 0.22/0.41 % (4877)------------------------------
% 0.22/0.41 % (4877)------------------------------
% 0.22/0.41 % (4873)Success in time 0.049 s
%------------------------------------------------------------------------------