TSTP Solution File: LCL240-3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL240-3 : 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 : 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 : Sun May 5 07:44:54 EDT 2024
% Result : Unsatisfiable 218.57s 31.47s
% Output : Refutation 218.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 10
% Syntax : Number of formulae : 52 ( 50 unt; 0 def)
% Number of atoms : 55 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 9 ( 6 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 109 ( 109 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1411367,plain,
$false,
inference(resolution,[],[f1209103,f357833]) ).
fof(f357833,plain,
! [X0] : ~ theorem(implies(or(X0,and(p,q)),p)),
inference(unit_resulting_resolution,[],[f28,f37474,f8]) ).
fof(f8,axiom,
! [X3,X4] :
( ~ theorem(implies(X4,X3))
| theorem(X3)
| ~ theorem(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_2) ).
fof(f37474,plain,
! [X2,X0,X1] : theorem(implies(implies(X1,X2),implies(implies(X0,X1),implies(X0,X2)))),
inference(forward_demodulation,[],[f37465,f6]) ).
fof(f6,axiom,
! [X3,X4] : implies(X3,X4) = or(not(X3),X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',implies_definition) ).
fof(f37465,plain,
! [X2,X0,X1] : theorem(implies(implies(X1,X2),implies(implies(X0,X1),or(not(X0),X2)))),
inference(superposition,[],[f3345,f6]) ).
fof(f3345,plain,
! [X2,X0,X1] : theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
inference(unit_resulting_resolution,[],[f5,f7]) ).
fof(f7,axiom,
! [X3] :
( ~ axiom(X3)
| theorem(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_1) ).
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(f28,plain,
! [X0,X1] : ~ theorem(implies(implies(X0,or(X1,X0)),implies(and(p,q),p))),
inference(unit_resulting_resolution,[],[f15,f10,f8]) ).
fof(f10,axiom,
~ theorem(implies(and(p,q),p)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f15,plain,
! [X0,X1] : theorem(implies(X0,or(X1,X0))),
inference(unit_resulting_resolution,[],[f2,f7]) ).
fof(f2,axiom,
! [X0,X1] : axiom(implies(X0,or(X1,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_3) ).
fof(f1209103,plain,
! [X0,X1] : theorem(implies(or(and(X0,X1),and(X0,X1)),X0)),
inference(forward_demodulation,[],[f1209102,f357]) ).
fof(f357,plain,
! [X2,X0,X1] : implies(implies(X0,not(X1)),X2) = or(and(X0,X1),X2),
inference(superposition,[],[f6,f11]) ).
fof(f11,plain,
! [X6,X5] : and(X5,X6) = not(implies(X5,not(X6))),
inference(forward_demodulation,[],[f9,f6]) ).
fof(f9,axiom,
! [X6,X5] : and(X5,X6) = not(or(not(X5),not(X6))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_defn) ).
fof(f1209102,plain,
! [X0,X1] : theorem(implies(implies(implies(X0,not(X1)),and(X0,X1)),X0)),
inference(forward_demodulation,[],[f1208824,f6]) ).
fof(f1208824,plain,
! [X0,X1] : theorem(or(not(implies(implies(X0,not(X1)),and(X0,X1))),X0)),
inference(superposition,[],[f891249,f353]) ).
fof(f353,plain,
! [X2,X0,X1] : and(X2,implies(X0,not(X1))) = not(implies(X2,and(X0,X1))),
inference(superposition,[],[f11,f11]) ).
fof(f891249,plain,
! [X0,X1] : theorem(or(and(implies(X0,X1),implies(X0,X1)),X0)),
inference(unit_resulting_resolution,[],[f291970,f286014,f8]) ).
fof(f286014,plain,
! [X0,X1] : theorem(implies(or(X0,X1),or(and(X1,X1),X0))),
inference(unit_resulting_resolution,[],[f11666,f271013,f8]) ).
fof(f271013,plain,
! [X0,X1] : theorem(or(and(X0,X0),implies(or(X1,X0),X1))),
inference(unit_resulting_resolution,[],[f17,f227959,f8]) ).
fof(f227959,plain,
! [X0,X1] : theorem(or(implies(or(X0,X1),X0),and(X1,X1))),
inference(unit_resulting_resolution,[],[f37231,f227322,f8]) ).
fof(f227322,plain,
! [X0,X1] : theorem(or(implies(or(X0,X1),X0),X1)),
inference(unit_resulting_resolution,[],[f17,f226155,f8]) ).
fof(f226155,plain,
! [X0,X1] : theorem(or(X0,implies(or(X1,X0),X1))),
inference(unit_resulting_resolution,[],[f17,f11667,f8]) ).
fof(f11667,plain,
! [X2,X0,X1] : theorem(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))),
inference(forward_demodulation,[],[f11657,f6]) ).
fof(f11657,plain,
! [X2,X0,X1] : theorem(implies(implies(X0,or(X1,X2)),or(X1,or(not(X0),X2)))),
inference(superposition,[],[f947,f6]) ).
fof(f947,plain,
! [X2,X0,X1] : theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
inference(unit_resulting_resolution,[],[f4,f7]) ).
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(f37231,plain,
! [X0,X1] : theorem(implies(or(X0,X1),or(X0,and(X1,X1)))),
inference(unit_resulting_resolution,[],[f401,f3345,f8]) ).
fof(f401,plain,
! [X0] : theorem(implies(X0,and(X0,X0))),
inference(forward_demodulation,[],[f400,f11]) ).
fof(f400,plain,
! [X0] : theorem(implies(X0,not(implies(X0,not(X0))))),
inference(forward_demodulation,[],[f378,f6]) ).
fof(f378,plain,
! [X0] : theorem(or(not(X0),not(implies(X0,not(X0))))),
inference(unit_resulting_resolution,[],[f19,f122,f8]) ).
fof(f122,plain,
! [X0,X1] : theorem(implies(implies(X0,X1),or(X1,not(X0)))),
inference(superposition,[],[f17,f6]) ).
fof(f19,plain,
! [X0] : theorem(implies(implies(X0,not(X0)),not(X0))),
inference(superposition,[],[f13,f6]) ).
fof(f13,plain,
! [X0] : theorem(implies(or(X0,X0),X0)),
inference(unit_resulting_resolution,[],[f1,f7]) ).
fof(f1,axiom,
! [X0] : axiom(implies(or(X0,X0),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_2) ).
fof(f17,plain,
! [X0,X1] : theorem(implies(or(X0,X1),or(X1,X0))),
inference(unit_resulting_resolution,[],[f3,f7]) ).
fof(f3,axiom,
! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_4) ).
fof(f11666,plain,
! [X2,X0,X1] : theorem(implies(or(X2,implies(X0,X1)),implies(X0,or(X2,X1)))),
inference(forward_demodulation,[],[f11656,f6]) ).
fof(f11656,plain,
! [X2,X0,X1] : theorem(implies(or(X2,implies(X0,X1)),or(not(X0),or(X2,X1)))),
inference(superposition,[],[f947,f6]) ).
fof(f291970,plain,
! [X0,X1] : theorem(or(X0,implies(X0,X1))),
inference(forward_demodulation,[],[f291186,f6]) ).
fof(f291186,plain,
! [X0,X1] : theorem(or(X0,or(not(X0),X1))),
inference(unit_resulting_resolution,[],[f15104,f37233,f8]) ).
fof(f37233,plain,
! [X2,X0,X1] : theorem(implies(or(X0,or(X1,X2)),or(X0,or(X2,X1)))),
inference(unit_resulting_resolution,[],[f17,f3345,f8]) ).
fof(f15104,plain,
! [X0,X1] : theorem(or(X0,or(X1,not(X0)))),
inference(unit_resulting_resolution,[],[f17,f14954,f8]) ).
fof(f14954,plain,
! [X0,X1] : theorem(or(or(X0,not(X1)),X1)),
inference(unit_resulting_resolution,[],[f13,f13764,f8]) ).
fof(f13764,plain,
! [X2,X0,X1] : theorem(or(X0,or(or(X1,not(X2)),X2))),
inference(unit_resulting_resolution,[],[f947,f13016,f8]) ).
fof(f13016,plain,
! [X2,X0,X1] : theorem(or(or(X0,not(X1)),or(X2,X1))),
inference(unit_resulting_resolution,[],[f17,f11512,f8]) ).
fof(f11512,plain,
! [X2,X0,X1] : theorem(or(or(X0,X1),or(X2,not(X1)))),
inference(unit_resulting_resolution,[],[f520,f947,f8]) ).
fof(f520,plain,
! [X2,X0,X1] : theorem(or(X0,or(or(X1,X2),not(X2)))),
inference(unit_resulting_resolution,[],[f15,f373,f8]) ).
fof(f373,plain,
! [X0,X1] : theorem(or(or(X0,X1),not(X1))),
inference(unit_resulting_resolution,[],[f15,f122,f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.08 % Problem : LCL240-3 : TPTP v8.1.2. Released v2.3.0.
% 0.02/0.09 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.09/0.27 % Computer : n032.cluster.edu
% 0.09/0.27 % Model : x86_64 x86_64
% 0.09/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.27 % Memory : 8042.1875MB
% 0.09/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.27 % CPULimit : 300
% 0.09/0.27 % WCLimit : 300
% 0.09/0.27 % DateTime : Fri May 3 13:33:39 EDT 2024
% 0.09/0.27 % CPUTime :
% 0.12/0.28 % (12266)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.29 % (12267)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.29 % (12271)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)
% 0.12/0.29 % (12269)WARNING: value z3 for option sas not known
% 0.12/0.29 % (12270)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.29 TRYING [1]
% 0.12/0.29 TRYING [2]
% 0.12/0.29 % (12269)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)
% 0.12/0.29 TRYING [1]
% 0.12/0.29 % (12268)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.29 TRYING [2]
% 0.12/0.29 TRYING [3]
% 0.12/0.29 % (12273)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)
% 0.12/0.29 % (12272)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)
% 0.12/0.29 TRYING [3]
% 0.12/0.29 TRYING [4]
% 0.12/0.29 TRYING [4]
% 0.12/0.32 TRYING [5]
% 0.12/0.32 TRYING [5]
% 0.12/0.44 TRYING [6]
% 0.12/0.47 TRYING [6]
% 5.14/1.02 TRYING [7]
% 7.82/1.39 TRYING [1]
% 7.82/1.39 TRYING [2]
% 7.82/1.40 TRYING [3]
% 7.82/1.40 TRYING [4]
% 7.82/1.43 TRYING [5]
% 8.76/1.60 TRYING [6]
% 10.02/1.75 TRYING [7]
% 21.38/3.39 TRYING [7]
% 24.62/3.86 TRYING [8]
% 120.22/17.41 TRYING [8]
% 156.96/22.65 TRYING [9]
% 175.86/25.34 TRYING [8]
% 218.57/31.41 % (12273)First to succeed.
% 218.57/31.41 % (12273)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-12266"
% 218.57/31.47 % (12273)Refutation found. Thanks to Tanya!
% 218.57/31.47 % SZS status Unsatisfiable for theBenchmark
% 218.57/31.47 % SZS output start Proof for theBenchmark
% See solution above
% 218.57/31.47 % (12273)------------------------------
% 218.57/31.47 % (12273)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 218.57/31.47 % (12273)Termination reason: Refutation
% 218.57/31.47
% 218.57/31.47 % (12273)Memory used [KB]: 542237
% 218.57/31.47 % (12273)Time elapsed: 31.122 s
% 218.57/31.47 % (12273)Instructions burned: 97929 (million)
% 218.57/31.47 % (12266)Success in time 30.982 s
%------------------------------------------------------------------------------