TSTP Solution File: LCL384-10 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LCL384-10 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n029.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 20:27:04 EDT 2024
% Result : Unsatisfiable 185.99s 24.02s
% Output : CNFRefutation 188.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 6
% Syntax : Number of formulae : 81 ( 81 unt; 0 def)
% Number of atoms : 81 ( 80 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 : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-4 aty)
% Number of variables : 212 ( 212 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : ifeq(A,A,B,C) = B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] : ifeq(is_a_theorem(implies(X,Y)),true,ifeq(is_a_theorem(X),true,is_a_theorem(Y),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y,Z] : is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X] : is_a_theorem(implies(implies(not(X),X),X)) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y] : is_a_theorem(implies(X,implies(not(X),Y))) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
is_a_theorem(implies(implies(x,implies(y,z)),implies(implies(not(z),y),implies(x,z)))) != true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,plain,
! [X0,X1,X2] : ifeq(X0,X0,X1,X2) = X1,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f8,plain,
! [X0,X1] : ifeq(is_a_theorem(implies(X0,X1)),true,ifeq(is_a_theorem(X0),true,is_a_theorem(X1),true),true) = true,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f9,plain,
! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) = true,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f10,plain,
! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)) = true,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f11,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))) = true,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f12,plain,
is_a_theorem(implies(implies(x,implies(y,z)),implies(implies(not(z),y),implies(x,z)))) != true,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f13,plain,
! [X0] : true = ifeq(true,true,ifeq(is_a_theorem(implies(not(X0),X0)),true,is_a_theorem(X0),true),true),
inference(paramodulation,[status(thm)],[f10,f8]) ).
fof(f14,plain,
! [X0,X1,X2] : true = ifeq(true,true,ifeq(is_a_theorem(implies(X0,X1)),true,is_a_theorem(implies(implies(X1,X2),implies(X0,X2))),true),true),
inference(paramodulation,[status(thm)],[f9,f8]) ).
fof(f15,plain,
! [X0,X1] : true = ifeq(true,true,ifeq(is_a_theorem(X0),true,is_a_theorem(implies(not(X0),X1)),true),true),
inference(paramodulation,[status(thm)],[f11,f8]) ).
fof(f16,plain,
! [X0,X1] : true = ifeq(is_a_theorem(implies(implies(implies(not(X0),X0),X0),X1)),true,ifeq(true,true,is_a_theorem(X1),true),true),
inference(paramodulation,[status(thm)],[f10,f8]) ).
fof(f18,plain,
! [X0,X1,X2] : true = ifeq(is_a_theorem(implies(implies(X0,implies(not(X0),X1)),X2)),true,ifeq(true,true,is_a_theorem(X2),true),true),
inference(paramodulation,[status(thm)],[f11,f8]) ).
fof(f22,plain,
! [X0] : true = ifeq(is_a_theorem(implies(not(X0),X0)),true,is_a_theorem(X0),true),
inference(forward_demodulation,[status(thm)],[f7,f13]) ).
fof(f23,plain,
! [X0,X1,X2] : true = ifeq(is_a_theorem(implies(X0,X1)),true,is_a_theorem(implies(implies(X1,X2),implies(X0,X2))),true),
inference(forward_demodulation,[status(thm)],[f7,f14]) ).
fof(f24,plain,
! [X0,X1] : true = ifeq(is_a_theorem(X0),true,is_a_theorem(implies(not(X0),X1)),true),
inference(forward_demodulation,[status(thm)],[f7,f15]) ).
fof(f25,plain,
! [X0,X1] : true = ifeq(is_a_theorem(implies(implies(implies(not(X0),X0),X0),X1)),true,is_a_theorem(X1),true),
inference(forward_demodulation,[status(thm)],[f7,f16]) ).
fof(f27,plain,
! [X0,X1,X2] : true = ifeq(is_a_theorem(implies(implies(X0,implies(not(X0),X1)),X2)),true,is_a_theorem(X2),true),
inference(forward_demodulation,[status(thm)],[f7,f18]) ).
fof(f131,plain,
! [X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))),true),
inference(paramodulation,[status(thm)],[f9,f25]) ).
fof(f141,plain,
! [X0,X1] : true = is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))),
inference(forward_demodulation,[status(thm)],[f7,f131]) ).
fof(f152,plain,
! [X0,X1,X2] : true = ifeq(is_a_theorem(implies(implies(implies(X0,X1),implies(implies(not(X0),X0),X1)),X2)),true,ifeq(true,true,is_a_theorem(X2),true),true),
inference(paramodulation,[status(thm)],[f141,f8]) ).
fof(f157,plain,
! [X0,X1,X2] : true = ifeq(is_a_theorem(implies(implies(implies(X0,X1),implies(implies(not(X0),X0),X1)),X2)),true,is_a_theorem(X2),true),
inference(forward_demodulation,[status(thm)],[f7,f152]) ).
fof(f190,plain,
! [X0,X1,X2] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))),true),
inference(paramodulation,[status(thm)],[f9,f27]) ).
fof(f204,plain,
! [X0,X1,X2] : true = is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))),
inference(forward_demodulation,[status(thm)],[f7,f190]) ).
fof(f220,plain,
! [X0] : true = ifeq(true,true,is_a_theorem(implies(X0,X0)),true),
inference(paramodulation,[status(thm)],[f204,f25]) ).
fof(f222,plain,
! [X0,X1,X2] : true = ifeq(true,true,ifeq(is_a_theorem(implies(implies(not(X0),X1),X2)),true,is_a_theorem(implies(X0,X2)),true),true),
inference(paramodulation,[status(thm)],[f204,f8]) ).
fof(f232,plain,
! [X0] : true = is_a_theorem(implies(X0,X0)),
inference(forward_demodulation,[status(thm)],[f7,f220]) ).
fof(f234,plain,
! [X0,X1,X2] : true = ifeq(is_a_theorem(implies(implies(not(X0),X1),X2)),true,is_a_theorem(implies(X0,X2)),true),
inference(forward_demodulation,[status(thm)],[f7,f222]) ).
fof(f259,plain,
! [X0,X1] : true = ifeq(true,true,is_a_theorem(implies(not(implies(X0,X0)),X1)),true),
inference(paramodulation,[status(thm)],[f232,f24]) ).
fof(f266,plain,
! [X0,X1] : true = is_a_theorem(implies(not(implies(X0,X0)),X1)),
inference(forward_demodulation,[status(thm)],[f7,f259]) ).
fof(f279,plain,
! [X0,X1,X2] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(implies(not(X0),X0),X1),X2),implies(implies(X0,X1),X2))),true),
inference(paramodulation,[status(thm)],[f141,f23]) ).
fof(f280,plain,
! [X0,X1,X2,X3] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))),true),
inference(paramodulation,[status(thm)],[f9,f23]) ).
fof(f299,plain,
! [X0,X1,X2] : true = is_a_theorem(implies(implies(implies(implies(not(X0),X0),X1),X2),implies(implies(X0,X1),X2))),
inference(forward_demodulation,[status(thm)],[f7,f279]) ).
fof(f300,plain,
! [X0,X1,X2,X3] : true = is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))),
inference(forward_demodulation,[status(thm)],[f7,f280]) ).
fof(f336,plain,
! [X0,X1,X2] : true = ifeq(true,true,is_a_theorem(implies(implies(X0,X1),implies(not(implies(X2,X2)),X1))),true),
inference(paramodulation,[status(thm)],[f266,f23]) ).
fof(f350,plain,
! [X0,X1,X2] : true = is_a_theorem(implies(implies(X0,X1),implies(not(implies(X2,X2)),X1))),
inference(forward_demodulation,[status(thm)],[f7,f336]) ).
fof(f650,plain,
! [X0,X1,X2,X3] : true = ifeq(true,true,ifeq(is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3)),true,is_a_theorem(implies(implies(X2,X0),X3)),true),true),
inference(paramodulation,[status(thm)],[f300,f8]) ).
fof(f669,plain,
! [X0,X1,X2,X3] : true = ifeq(is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3)),true,is_a_theorem(implies(implies(X2,X0),X3)),true),
inference(forward_demodulation,[status(thm)],[f7,f650]) ).
fof(f985,plain,
! [X0,X1,X2] : true = ifeq(true,true,is_a_theorem(implies(X0,implies(not(implies(X1,X1)),X2))),true),
inference(paramodulation,[status(thm)],[f350,f234]) ).
fof(f1019,plain,
! [X0,X1,X2] : true = is_a_theorem(implies(X0,implies(not(implies(X1,X1)),X2))),
inference(forward_demodulation,[status(thm)],[f7,f985]) ).
fof(f1116,plain,
! [X0,X1,X2,X3] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(not(implies(X0,X0)),X1),X2),implies(X3,X2))),true),
inference(paramodulation,[status(thm)],[f1019,f23]) ).
fof(f1146,plain,
! [X0,X1,X2,X3] : true = is_a_theorem(implies(implies(implies(not(implies(X0,X0)),X1),X2),implies(X3,X2))),
inference(forward_demodulation,[status(thm)],[f7,f1116]) ).
fof(f1404,plain,
! [X0,X1,X2,X3] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(implies(X0,X1),X2),X3),implies(implies(implies(implies(not(X0),X0),X1),X2),X3))),true),
inference(paramodulation,[status(thm)],[f299,f23]) ).
fof(f1430,plain,
! [X0,X1,X2,X3] : true = is_a_theorem(implies(implies(implies(implies(X0,X1),X2),X3),implies(implies(implies(implies(not(X0),X0),X1),X2),X3))),
inference(forward_demodulation,[status(thm)],[f7,f1404]) ).
fof(f2308,plain,
! [X0,X1,X2,X3] : true = ifeq(true,true,is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X3,X1),implies(X0,implies(X3,X2))))),true),
inference(paramodulation,[status(thm)],[f300,f669]) ).
fof(f2352,plain,
! [X0,X1,X2,X3] : true = is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X3,X1),implies(X0,implies(X3,X2))))),
inference(forward_demodulation,[status(thm)],[f7,f2308]) ).
fof(f4152,plain,
! [X0,X1] : true = ifeq(true,true,is_a_theorem(implies(X0,implies(X1,X1))),true),
inference(paramodulation,[status(thm)],[f1146,f25]) ).
fof(f4210,plain,
! [X0,X1] : true = is_a_theorem(implies(X0,implies(X1,X1))),
inference(forward_demodulation,[status(thm)],[f7,f4152]) ).
fof(f4350,plain,
! [X0,X1,X2] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))),true),
inference(paramodulation,[status(thm)],[f4210,f23]) ).
fof(f4382,plain,
! [X0,X1,X2] : true = ifeq(is_a_theorem(implies(implies(X0,implies(X1,X1)),X2)),true,ifeq(true,true,is_a_theorem(X2),true),true),
inference(paramodulation,[status(thm)],[f4210,f8]) ).
fof(f4403,plain,
! [X0,X1,X2] : true = is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))),
inference(forward_demodulation,[status(thm)],[f7,f4350]) ).
fof(f4409,plain,
! [X0,X1,X2] : true = ifeq(is_a_theorem(implies(implies(X0,implies(X1,X1)),X2)),true,is_a_theorem(X2),true),
inference(forward_demodulation,[status(thm)],[f7,f4382]) ).
fof(f5385,plain,
! [X0,X1] : true = ifeq(true,true,is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))),true),
inference(paramodulation,[status(thm)],[f4403,f157]) ).
fof(f5451,plain,
! [X0,X1] : true = is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))),
inference(forward_demodulation,[status(thm)],[f7,f5385]) ).
fof(f6024,plain,
! [X0,X1,X2] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),implies(X2,X1))),true),
inference(paramodulation,[status(thm)],[f5451,f23]) ).
fof(f6083,plain,
! [X0,X1,X2] : true = is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),implies(X2,X1))),
inference(forward_demodulation,[status(thm)],[f7,f6024]) ).
fof(f11679,plain,
! [X0,X1,X2,X3] : true = ifeq(true,true,ifeq(is_a_theorem(implies(implies(implies(X0,X1),X2),X3)),true,is_a_theorem(implies(implies(implies(implies(not(X0),X0),X1),X2),X3)),true),true),
inference(paramodulation,[status(thm)],[f1430,f8]) ).
fof(f11734,plain,
! [X0,X1,X2,X3] : true = ifeq(is_a_theorem(implies(implies(implies(X0,X1),X2),X3)),true,is_a_theorem(implies(implies(implies(implies(not(X0),X0),X1),X2),X3)),true),
inference(forward_demodulation,[status(thm)],[f7,f11679]) ).
fof(f14184,plain,
! [X0,X1,X2] : true = ifeq(true,true,is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X2,implies(X0,X1)))),true),
inference(paramodulation,[status(thm)],[f6083,f669]) ).
fof(f14277,plain,
! [X0,X1,X2] : true = is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X2,implies(X0,X1)))),
inference(forward_demodulation,[status(thm)],[f7,f14184]) ).
fof(f18809,plain,
! [X0,X1,X2] : true = ifeq(true,true,is_a_theorem(implies(implies(not(X0),X1),implies(X2,implies(implies(X1,X0),X0)))),true),
inference(paramodulation,[status(thm)],[f14277,f669]) ).
fof(f18928,plain,
! [X0,X1,X2] : true = is_a_theorem(implies(implies(not(X0),X1),implies(X2,implies(implies(X1,X0),X0)))),
inference(forward_demodulation,[status(thm)],[f7,f18809]) ).
fof(f22088,plain,
! [X0,X1,X2,X3] : true = ifeq(true,true,ifeq(is_a_theorem(implies(X0,implies(X1,X2))),true,is_a_theorem(implies(implies(X3,X1),implies(X0,implies(X3,X2)))),true),true),
inference(paramodulation,[status(thm)],[f2352,f8]) ).
fof(f22174,plain,
! [X0,X1,X2,X3] : true = ifeq(is_a_theorem(implies(X0,implies(X1,X2))),true,is_a_theorem(implies(implies(X3,X1),implies(X0,implies(X3,X2)))),true),
inference(forward_demodulation,[status(thm)],[f7,f22088]) ).
fof(f25849,plain,
! [X0,X1,X2] : true = ifeq(true,true,is_a_theorem(implies(X0,implies(implies(implies(X1,X1),X2),X2))),true),
inference(paramodulation,[status(thm)],[f18928,f4409]) ).
fof(f26129,plain,
! [X0,X1,X2] : true = is_a_theorem(implies(X0,implies(implies(implies(X1,X1),X2),X2))),
inference(forward_demodulation,[status(thm)],[f7,f25849]) ).
fof(f29908,plain,
! [X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(X0,X0),X1),X1)),true),
inference(paramodulation,[status(thm)],[f26129,f22]) ).
fof(f30083,plain,
! [X0,X1] : true = is_a_theorem(implies(implies(implies(X0,X0),X1),X1)),
inference(forward_demodulation,[status(thm)],[f7,f29908]) ).
fof(f202792,plain,
! [X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),X1)),true),
inference(paramodulation,[status(thm)],[f30083,f11734]) ).
fof(f203308,plain,
! [X0,X1] : true = is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),X1)),
inference(forward_demodulation,[status(thm)],[f7,f202792]) ).
fof(f207600,plain,
! [X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))),true),
inference(paramodulation,[status(thm)],[f203308,f669]) ).
fof(f207826,plain,
! [X0,X1] : true = is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))),
inference(forward_demodulation,[status(thm)],[f7,f207600]) ).
fof(f209555,plain,
! [X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0))),true),
inference(paramodulation,[status(thm)],[f207826,f669]) ).
fof(f209828,plain,
! [X0,X1] : true = is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0))),
inference(forward_demodulation,[status(thm)],[f7,f209555]) ).
fof(f439937,plain,
! [X0,X1,X2] : true = ifeq(true,true,is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(not(X2),X1),implies(X0,X2)))),true),
inference(paramodulation,[status(thm)],[f209828,f22174]) ).
fof(f441286,plain,
! [X0,X1,X2] : true = is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(not(X2),X1),implies(X0,X2)))),
inference(forward_demodulation,[status(thm)],[f7,f439937]) ).
fof(f441287,plain,
$false,
inference(resolution,[status(thm)],[f441286,f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : LCL384-10 : TPTP v8.1.2. Released v7.5.0.
% 0.06/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32 % Computer : n029.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon Apr 29 20:38:19 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.33 % Drodi V3.6.0
% 185.99/24.02 % Refutation found
% 185.99/24.02 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 185.99/24.02 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 188.77/24.44 % Elapsed time: 24.077875 seconds
% 188.77/24.44 % CPU time: 187.775317 seconds
% 188.77/24.44 % Total memory used: 2.033 GB
% 188.77/24.44 % Net memory used: 1.964 GB
%------------------------------------------------------------------------------