TSTP Solution File: LCL192-10 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LCL192-10 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n010.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 20:26:37 EDT 2024
% Result : Unsatisfiable 254.29s 32.36s
% Output : CNFRefutation 259.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 8
% Syntax : Number of formulae : 45 ( 45 unt; 0 def)
% Number of atoms : 45 ( 44 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-4 aty)
% Number of variables : 122 ( 122 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : ifeq(A,A,B,C) = B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B] : axiom(implies(or(A,B),or(B,A))) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A,B,C] : axiom(implies(or(A,or(B,C)),or(B,or(A,C)))) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A,B,C] : axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Y] : implies(X,Y) = or(not(X),Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X] : ifeq(axiom(X),true,theorem(X),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [Y,X] : ifeq(theorem(implies(Y,X)),true,ifeq(theorem(Y),true,theorem(X),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
theorem(implies(or(or(p,q),r),or(p,or(q,r)))) != true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,plain,
! [X0,X1,X2] : ifeq(X0,X0,X1,X2) = X1,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f14,plain,
! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))) = true,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f15,plain,
! [X0,X1,X2] : axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))) = true,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f16,plain,
! [X0,X1,X2] : axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))) = true,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f17,plain,
! [X0,X1] : implies(X0,X1) = or(not(X0),X1),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f18,plain,
! [X0] : ifeq(axiom(X0),true,theorem(X0),true) = true,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f19,plain,
! [X0,X1] : ifeq(theorem(implies(X0,X1)),true,ifeq(theorem(X0),true,theorem(X1),true),true) = true,
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f20,plain,
theorem(implies(or(or(p,q),r),or(p,or(q,r)))) != true,
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f25,plain,
! [X0,X1] : true = ifeq(true,true,theorem(implies(or(X0,X1),or(X1,X0))),true),
inference(paramodulation,[status(thm)],[f14,f18]) ).
fof(f29,plain,
! [X0,X1] : true = theorem(implies(or(X0,X1),or(X1,X0))),
inference(forward_demodulation,[status(thm)],[f11,f25]) ).
fof(f53,plain,
! [X0,X1,X2] : true = ifeq(true,true,theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),true),
inference(paramodulation,[status(thm)],[f15,f18]) ).
fof(f58,plain,
! [X0,X1,X2] : true = theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
inference(forward_demodulation,[status(thm)],[f11,f53]) ).
fof(f59,plain,
! [X0,X1,X2] : true = axiom(implies(implies(X0,X1),implies(implies(X2,X0),or(not(X2),X1)))),
inference(paramodulation,[status(thm)],[f17,f16]) ).
fof(f61,plain,
! [X0,X1,X2] : true = ifeq(true,true,theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),true),
inference(paramodulation,[status(thm)],[f16,f18]) ).
fof(f62,plain,
! [X0,X1,X2] : true = axiom(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),
inference(forward_demodulation,[status(thm)],[f17,f59]) ).
fof(f64,plain,
! [X0,X1,X2] : true = theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
inference(forward_demodulation,[status(thm)],[f11,f61]) ).
fof(f105,plain,
! [X0,X1,X2] : true = ifeq(theorem(implies(implies(or(X0,X1),or(X1,X0)),X2)),true,ifeq(true,true,theorem(X2),true),true),
inference(paramodulation,[status(thm)],[f29,f19]) ).
fof(f129,plain,
! [X0,X1,X2] : true = ifeq(theorem(implies(implies(or(X0,X1),or(X1,X0)),X2)),true,theorem(X2),true),
inference(forward_demodulation,[status(thm)],[f11,f105]) ).
fof(f139,plain,
! [X0,X1,X2,X3] : true = ifeq(theorem(implies(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2))),X3)),true,ifeq(true,true,theorem(X3),true),true),
inference(paramodulation,[status(thm)],[f58,f19]) ).
fof(f146,plain,
! [X0,X1,X2,X3] : true = ifeq(theorem(implies(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2))),X3)),true,theorem(X3),true),
inference(forward_demodulation,[status(thm)],[f11,f139]) ).
fof(f150,plain,
! [X0,X1,X2] : true = ifeq(true,true,theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),true),
inference(paramodulation,[status(thm)],[f62,f18]) ).
fof(f151,plain,
! [X0,X1,X2] : true = theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),
inference(forward_demodulation,[status(thm)],[f11,f150]) ).
fof(f855,plain,
! [X0,X1,X2] : true = ifeq(true,true,theorem(implies(or(X0,or(X1,X2)),or(X0,or(X2,X1)))),true),
inference(paramodulation,[status(thm)],[f64,f129]) ).
fof(f908,plain,
! [X0,X1,X2] : true = theorem(implies(or(X0,or(X1,X2)),or(X0,or(X2,X1)))),
inference(forward_demodulation,[status(thm)],[f11,f855]) ).
fof(f1520,plain,
! [X0,X1,X2,X3] : true = ifeq(true,true,theorem(implies(implies(X0,or(X1,or(X2,X3))),implies(X0,or(X2,or(X1,X3))))),true),
inference(paramodulation,[status(thm)],[f151,f146]) ).
fof(f1531,plain,
! [X0,X1,X2] : true = ifeq(true,true,ifeq(theorem(implies(X0,X1)),true,theorem(implies(implies(X2,X0),implies(X2,X1))),true),true),
inference(paramodulation,[status(thm)],[f151,f19]) ).
fof(f1543,plain,
! [X0,X1,X2,X3] : true = theorem(implies(implies(X0,or(X1,or(X2,X3))),implies(X0,or(X2,or(X1,X3))))),
inference(forward_demodulation,[status(thm)],[f11,f1520]) ).
fof(f1547,plain,
! [X0,X1,X2] : true = ifeq(theorem(implies(X0,X1)),true,theorem(implies(implies(X2,X0),implies(X2,X1))),true),
inference(forward_demodulation,[status(thm)],[f11,f1531]) ).
fof(f6103,plain,
! [X0,X1,X2] : true = ifeq(true,true,theorem(implies(or(or(X0,X1),X2),or(X0,or(X2,X1)))),true),
inference(paramodulation,[status(thm)],[f1543,f129]) ).
fof(f6143,plain,
! [X0,X1,X2] : true = theorem(implies(or(or(X0,X1),X2),or(X0,or(X2,X1)))),
inference(forward_demodulation,[status(thm)],[f11,f6103]) ).
fof(f6838,plain,
! [X0,X1,X2,X3] : true = ifeq(true,true,theorem(implies(implies(X0,or(X1,or(X2,X3))),implies(X0,or(X1,or(X3,X2))))),true),
inference(paramodulation,[status(thm)],[f908,f1547]) ).
fof(f6916,plain,
! [X0,X1,X2,X3] : true = theorem(implies(implies(X0,or(X1,or(X2,X3))),implies(X0,or(X1,or(X3,X2))))),
inference(forward_demodulation,[status(thm)],[f11,f6838]) ).
fof(f46705,plain,
! [X0,X1,X2,X3] : true = ifeq(theorem(implies(implies(or(or(X0,X1),X2),or(X0,or(X2,X1))),X3)),true,ifeq(true,true,theorem(X3),true),true),
inference(paramodulation,[status(thm)],[f6143,f19]) ).
fof(f46742,plain,
! [X0,X1,X2,X3] : true = ifeq(theorem(implies(implies(or(or(X0,X1),X2),or(X0,or(X2,X1))),X3)),true,theorem(X3),true),
inference(forward_demodulation,[status(thm)],[f11,f46705]) ).
fof(f665369,plain,
! [X0,X1,X2] : true = ifeq(true,true,theorem(implies(or(or(X0,X1),X2),or(X0,or(X1,X2)))),true),
inference(paramodulation,[status(thm)],[f6916,f46742]) ).
fof(f666953,plain,
! [X0,X1,X2] : true = theorem(implies(or(or(X0,X1),X2),or(X0,or(X1,X2)))),
inference(forward_demodulation,[status(thm)],[f11,f665369]) ).
fof(f666954,plain,
$false,
inference(resolution,[status(thm)],[f666953,f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LCL192-10 : TPTP v8.1.2. Released v7.3.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 29 20:05:05 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 254.29/32.36 % Refutation found
% 254.29/32.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 254.29/32.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 261.59/34.12 % Elapsed time: 33.527767 seconds
% 261.59/34.12 % CPU time: 250.571605 seconds
% 261.59/34.12 % Total memory used: 2.624 GB
% 261.59/34.12 % Net memory used: 2.489 GB
%------------------------------------------------------------------------------