TSTP Solution File: LCL239-10 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL239-10 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n025.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 13:41:20 EDT 2024
% Result : Unsatisfiable 0.21s 0.46s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 10
% Syntax : Number of formulae : 43 ( 43 unt; 0 def)
% Number of atoms : 43 ( 42 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-4 aty)
% Number of variables : 73 ( 73 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3029,plain,
$false,
inference(trivial_inequality_removal,[],[f3009]) ).
fof(f3009,plain,
true != true,
inference(superposition,[],[f11,f2999]) ).
fof(f2999,plain,
! [X0] : true = theorem(not(and(X0,not(X0)))),
inference(forward_demodulation,[],[f2977,f12]) ).
fof(f12,plain,
! [X6,X5] : and(X5,X6) = not(implies(X5,not(X6))),
inference(forward_demodulation,[],[f10,f7]) ).
fof(f7,axiom,
! [X3,X4] : implies(X3,X4) = or(not(X3),X4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',implies_definition) ).
fof(f10,axiom,
! [X6,X5] : and(X5,X6) = not(or(not(X5),not(X6))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_defn) ).
fof(f2977,plain,
! [X0] : true = theorem(not(not(implies(X0,not(not(X0)))))),
inference(superposition,[],[f2972,f7]) ).
fof(f2972,plain,
! [X0] : true = theorem(not(not(or(X0,not(X0))))),
inference(superposition,[],[f2898,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f2898,plain,
! [X0] : true = ifeq(true,true,theorem(not(not(or(X0,not(X0))))),true),
inference(superposition,[],[f1787,f1768]) ).
fof(f1768,plain,
! [X0] : true = theorem(implies(X0,not(not(X0)))),
inference(superposition,[],[f1764,f7]) ).
fof(f1764,plain,
! [X0] : true = theorem(or(X0,not(X0))),
inference(superposition,[],[f1708,f1]) ).
fof(f1708,plain,
! [X0] : true = ifeq(true,true,theorem(or(X0,not(X0))),true),
inference(superposition,[],[f1350,f193]) ).
fof(f193,plain,
! [X0,X1] : true = theorem(implies(implies(X0,X1),or(X1,not(X0)))),
inference(superposition,[],[f191,f7]) ).
fof(f191,plain,
! [X0,X1] : true = theorem(implies(or(X0,X1),or(X1,X0))),
inference(superposition,[],[f22,f1]) ).
fof(f22,plain,
! [X0,X1] : true = ifeq(true,true,theorem(implies(or(X0,X1),or(X1,X0))),true),
inference(superposition,[],[f8,f4]) ).
fof(f4,axiom,
! [X0,X1] : true = axiom(implies(or(X0,X1),or(X1,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_4) ).
fof(f8,axiom,
! [X3] : true = ifeq(axiom(X3),true,theorem(X3),true),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_1) ).
fof(f1350,plain,
! [X0,X1] : true = ifeq(theorem(implies(implies(X0,X0),X1)),true,theorem(X1),true),
inference(forward_demodulation,[],[f1340,f1]) ).
fof(f1340,plain,
! [X0,X1] : true = ifeq(theorem(implies(implies(X0,X0),X1)),true,ifeq(true,true,theorem(X1),true),true),
inference(superposition,[],[f9,f1321]) ).
fof(f1321,plain,
! [X0] : true = theorem(implies(X0,X0)),
inference(superposition,[],[f1265,f1]) ).
fof(f1265,plain,
! [X0] : true = ifeq(true,true,theorem(implies(X0,X0)),true),
inference(superposition,[],[f446,f1258]) ).
fof(f1258,plain,
! [X0,X1] : true = theorem(or(X0,implies(X1,X1))),
inference(superposition,[],[f1214,f1]) ).
fof(f1214,plain,
! [X0,X1] : true = ifeq(true,true,theorem(or(X1,implies(X0,X0))),true),
inference(superposition,[],[f425,f726]) ).
fof(f726,plain,
! [X2,X0,X1] : true = theorem(implies(implies(X0,or(X1,X2)),or(X1,implies(X0,X2)))),
inference(forward_demodulation,[],[f710,f7]) ).
fof(f710,plain,
! [X2,X0,X1] : true = theorem(implies(implies(X0,or(X1,X2)),or(X1,or(not(X0),X2)))),
inference(superposition,[],[f619,f7]) ).
fof(f619,plain,
! [X2,X0,X1] : true = theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
inference(superposition,[],[f177,f1]) ).
fof(f177,plain,
! [X2,X0,X1] : true = ifeq(true,true,theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),true),
inference(superposition,[],[f8,f5]) ).
fof(f5,axiom,
! [X2,X0,X1] : true = axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_5) ).
fof(f425,plain,
! [X2,X0,X1] : true = ifeq(theorem(implies(implies(X0,or(X1,X0)),X2)),true,theorem(X2),true),
inference(forward_demodulation,[],[f403,f1]) ).
fof(f403,plain,
! [X2,X0,X1] : true = ifeq(theorem(implies(implies(X0,or(X1,X0)),X2)),true,ifeq(true,true,theorem(X2),true),true),
inference(superposition,[],[f9,f54]) ).
fof(f54,plain,
! [X0,X1] : true = theorem(implies(X0,or(X1,X0))),
inference(superposition,[],[f16,f1]) ).
fof(f16,plain,
! [X0,X1] : true = ifeq(true,true,theorem(implies(X0,or(X1,X0))),true),
inference(superposition,[],[f8,f3]) ).
fof(f3,axiom,
! [X0,X1] : true = axiom(implies(X0,or(X1,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_3) ).
fof(f446,plain,
! [X0] : true = ifeq(theorem(or(X0,X0)),true,theorem(X0),true),
inference(superposition,[],[f394,f1]) ).
fof(f394,plain,
! [X0] : true = ifeq(true,true,ifeq(theorem(or(X0,X0)),true,theorem(X0),true),true),
inference(superposition,[],[f9,f40]) ).
fof(f40,plain,
! [X0] : true = theorem(implies(or(X0,X0),X0)),
inference(superposition,[],[f15,f1]) ).
fof(f15,plain,
! [X0] : true = ifeq(true,true,theorem(implies(or(X0,X0),X0)),true),
inference(superposition,[],[f8,f2]) ).
fof(f2,axiom,
! [X0] : axiom(implies(or(X0,X0),X0)) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_2) ).
fof(f9,axiom,
! [X3,X4] : true = ifeq(theorem(implies(X4,X3)),true,ifeq(theorem(X4),true,theorem(X3),true),true),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_2) ).
fof(f1787,plain,
! [X0,X1] : true = ifeq(theorem(implies(or(X0,not(X0)),X1)),true,theorem(X1),true),
inference(forward_demodulation,[],[f1774,f1]) ).
fof(f1774,plain,
! [X0,X1] : true = ifeq(theorem(implies(or(X0,not(X0)),X1)),true,ifeq(true,true,theorem(X1),true),true),
inference(superposition,[],[f9,f1764]) ).
fof(f11,axiom,
true != theorem(not(and(p,not(p)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL239-10 : TPTP v8.1.2. Released v7.5.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n025.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Apr 29 23:18:56 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (3978)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (3981)WARNING: value z3 for option sas not known
% 0.14/0.37 % (3982)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (3984)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)
% 0.14/0.37 % (3979)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (3980)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (3983)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)
% 0.14/0.37 % (3985)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)
% 0.14/0.37 % (3981)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)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.39 TRYING [3]
% 0.14/0.39 TRYING [4]
% 0.21/0.44 TRYING [4]
% 0.21/0.46 % (3985)First to succeed.
% 0.21/0.46 % (3985)Refutation found. Thanks to Tanya!
% 0.21/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.47 % (3985)------------------------------
% 0.21/0.47 % (3985)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.47 % (3985)Termination reason: Refutation
% 0.21/0.47
% 0.21/0.47 % (3985)Memory used [KB]: 2250
% 0.21/0.47 % (3985)Time elapsed: 0.090 s
% 0.21/0.47 % (3985)Instructions burned: 161 (million)
% 0.21/0.47 % (3985)------------------------------
% 0.21/0.47 % (3985)------------------------------
% 0.21/0.47 % (3978)Success in time 0.097 s
%------------------------------------------------------------------------------