TSTP Solution File: SYN563-10 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SYN563-10 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n009.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 20:52:32 EDT 2024
% Result : Unsatisfiable 4.47s 0.88s
% Output : CNFRefutation 4.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 13
% Syntax : Number of formulae : 47 ( 47 unt; 0 def)
% Number of atoms : 47 ( 46 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-4 aty)
% Number of variables : 54 ( 54 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : ifeq2(A,A,B,C) = B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B,C] : ifeq(A,A,B,C) = B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [X0] : p2(X0,X0) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [X22] : p6(X22,X22) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
p2(f4(c7),f4(c8)) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
! [X16] : p5(f3(f3(X16)),f3(f4(X16))) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
! [X27] : ifeq2(p6(c7,X27),true,p6(c7,f3(X27)),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
! [X10,X11] : ifeq2(p5(X10,X11),true,p6(f4(X10),X11),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
! [X3,X4] : ifeq2(p2(X3,X4),true,p2(f3(X3),f3(X4)),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
! [X7,X9,X8] : ifeq2(p6(X7,X9),true,ifeq2(p5(X9,X8),true,p5(X7,X8),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
! [X25,X24,X26,X23] : ifeq2(p2(X25,X24),true,ifeq2(p2(X26,X23),true,ifeq2(p6(X26,X25),true,p6(X23,X24),true),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
ifeq(p6(f4(c7),f3(f4(c8))),true,a,b) = b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
a != b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,plain,
! [X0,X1,X2] : ifeq2(X0,X0,X1,X2) = X1,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f22,plain,
! [X0,X1,X2] : ifeq(X0,X0,X1,X2) = X1,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f23,plain,
! [X0] : p2(X0,X0) = true,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f24,plain,
! [X0] : p6(X0,X0) = true,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f25,plain,
p2(f4(c7),f4(c8)) = true,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f27,plain,
! [X0] : p5(f3(f3(X0)),f3(f4(X0))) = true,
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f29,plain,
! [X0] : ifeq2(p6(c7,X0),true,p6(c7,f3(X0)),true) = true,
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f30,plain,
! [X0,X1] : ifeq2(p5(X0,X1),true,p6(f4(X0),X1),true) = true,
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f31,plain,
! [X0,X1] : ifeq2(p2(X0,X1),true,p2(f3(X0),f3(X1)),true) = true,
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f35,plain,
! [X0,X1,X2] : ifeq2(p6(X0,X1),true,ifeq2(p5(X1,X2),true,p5(X0,X2),true),true) = true,
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f36,plain,
! [X0,X1,X2,X3] : ifeq2(p2(X0,X1),true,ifeq2(p2(X2,X3),true,ifeq2(p6(X2,X0),true,p6(X3,X1),true),true),true) = true,
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f39,plain,
ifeq(p6(f4(c7),f3(f4(c8))),true,a,b) = b,
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f40,plain,
a != b,
inference(cnf_transformation,[status(esa)],[f20]) ).
fof(f73,plain,
true = ifeq2(true,true,p6(c7,f3(c7)),true),
inference(paramodulation,[status(thm)],[f24,f29]) ).
fof(f77,plain,
true = p6(c7,f3(c7)),
inference(forward_demodulation,[status(thm)],[f21,f73]) ).
fof(f94,plain,
true = ifeq2(true,true,p6(c7,f3(f3(c7))),true),
inference(paramodulation,[status(thm)],[f77,f29]) ).
fof(f97,plain,
true = p6(c7,f3(f3(c7))),
inference(forward_demodulation,[status(thm)],[f21,f94]) ).
fof(f167,plain,
true = ifeq2(true,true,p2(f3(f4(c7)),f3(f4(c8))),true),
inference(paramodulation,[status(thm)],[f25,f31]) ).
fof(f170,plain,
true = p2(f3(f4(c7)),f3(f4(c8))),
inference(forward_demodulation,[status(thm)],[f21,f167]) ).
fof(f485,plain,
! [X0,X1] : true = ifeq2(p6(X0,f3(f3(X1))),true,ifeq2(true,true,p5(X0,f3(f4(X1))),true),true),
inference(paramodulation,[status(thm)],[f27,f35]) ).
fof(f514,plain,
! [X0,X1] : true = ifeq2(p6(X0,f3(f3(X1))),true,p5(X0,f3(f4(X1))),true),
inference(forward_demodulation,[status(thm)],[f21,f485]) ).
fof(f533,plain,
! [X0,X1,X2] : true = ifeq2(p2(X0,X1),true,ifeq2(true,true,ifeq2(p6(X2,X0),true,p6(X2,X1),true),true),true),
inference(paramodulation,[status(thm)],[f23,f36]) ).
fof(f583,plain,
! [X0,X1,X2] : true = ifeq2(p2(X0,X1),true,ifeq2(p6(X2,X0),true,p6(X2,X1),true),true),
inference(forward_demodulation,[status(thm)],[f21,f533]) ).
fof(f1454,plain,
true = ifeq2(true,true,p5(c7,f3(f4(c7))),true),
inference(paramodulation,[status(thm)],[f97,f514]) ).
fof(f1466,plain,
true = p5(c7,f3(f4(c7))),
inference(forward_demodulation,[status(thm)],[f21,f1454]) ).
fof(f1478,plain,
true = ifeq2(true,true,p6(f4(c7),f3(f4(c7))),true),
inference(paramodulation,[status(thm)],[f1466,f30]) ).
fof(f1488,plain,
true = p6(f4(c7),f3(f4(c7))),
inference(forward_demodulation,[status(thm)],[f21,f1478]) ).
fof(f2036,plain,
! [X0] : true = ifeq2(true,true,ifeq2(p6(X0,f3(f4(c7))),true,p6(X0,f3(f4(c8))),true),true),
inference(paramodulation,[status(thm)],[f170,f583]) ).
fof(f2134,plain,
! [X0] : true = ifeq2(p6(X0,f3(f4(c7))),true,p6(X0,f3(f4(c8))),true),
inference(forward_demodulation,[status(thm)],[f21,f2036]) ).
fof(f14292,plain,
true = ifeq2(true,true,p6(f4(c7),f3(f4(c8))),true),
inference(paramodulation,[status(thm)],[f1488,f2134]) ).
fof(f14313,plain,
true = p6(f4(c7),f3(f4(c8))),
inference(forward_demodulation,[status(thm)],[f21,f14292]) ).
fof(f14330,plain,
ifeq(true,true,a,b) = b,
inference(backward_demodulation,[status(thm)],[f14313,f39]) ).
fof(f14379,plain,
a = b,
inference(forward_demodulation,[status(thm)],[f22,f14330]) ).
fof(f14380,plain,
$false,
inference(resolution,[status(thm)],[f14379,f40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SYN563-10 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.26 % Computer : n009.cluster.edu
% 0.06/0.26 % Model : x86_64 x86_64
% 0.06/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26 % Memory : 8042.1875MB
% 0.06/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26 % CPULimit : 300
% 0.06/0.26 % WCLimit : 300
% 0.06/0.26 % DateTime : Mon Apr 29 21:48:40 EDT 2024
% 0.06/0.26 % CPUTime :
% 0.06/0.26 % Drodi V3.6.0
% 4.47/0.88 % Refutation found
% 4.47/0.88 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 4.47/0.88 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 5.10/0.96 % Elapsed time: 0.682114 seconds
% 5.10/0.96 % CPU time: 5.170135 seconds
% 5.10/0.96 % Total memory used: 164.366 MB
% 5.10/0.96 % Net memory used: 163.095 MB
%------------------------------------------------------------------------------