TSTP Solution File: SYN598-10 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SYN598-10 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n008.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 20:52:37 EDT 2024
% Result : Unsatisfiable 2.72s 0.71s
% Output : CNFRefutation 2.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 35 ( 35 unt; 0 def)
% Number of atoms : 35 ( 34 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 14 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 4 con; 0-4 aty)
% Number of variables : 60 ( 60 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : ifeq(A,A,B,C) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
p18(c21) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [X34] : p7(X34,X34) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
p3(f4(f6(c21)),c22) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
! [X6,X7,X5,X4] : ifeq(p19(X6,X7),true,ifeq(p7(X7,X5),true,ifeq(p7(X6,X4),true,p19(X4,X5),true),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
! [X42,X44,X41,X43] : ifeq(p3(X42,X44),true,ifeq(p7(X41,X43),true,p7(f11(X41,X42),f11(X43,X44)),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
! [X38,X40,X37,X39] : ifeq(p7(X38,X40),true,ifeq(p7(X37,X39),true,p7(f10(X37,X38),f10(X39,X40)),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
p19(f10(f11(f14(f12(f15(f13(c23)))),c22),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))) != true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
! [X8] : ifeq(p18(X8),true,p19(f10(f11(f14(f12(f15(f13(c23)))),f4(f6(X8))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(X8))),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,plain,
! [X0,X1,X2] : ifeq(X0,X0,X1,X2) = X1,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f33,plain,
p18(c21) = true,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f34,plain,
! [X0] : p7(X0,X0) = true,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f38,plain,
p3(f4(f6(c21)),c22) = true,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f54,plain,
! [X0,X1,X2,X3] : ifeq(p19(X0,X1),true,ifeq(p7(X1,X2),true,ifeq(p7(X0,X3),true,p19(X3,X2),true),true),true) = true,
inference(cnf_transformation,[status(esa)],[f24]) ).
fof(f56,plain,
! [X0,X1,X2,X3] : ifeq(p3(X0,X1),true,ifeq(p7(X2,X3),true,p7(f11(X2,X0),f11(X3,X1)),true),true) = true,
inference(cnf_transformation,[status(esa)],[f26]) ).
fof(f57,plain,
! [X0,X1,X2,X3] : ifeq(p7(X0,X1),true,ifeq(p7(X2,X3),true,p7(f10(X2,X0),f10(X3,X1)),true),true) = true,
inference(cnf_transformation,[status(esa)],[f27]) ).
fof(f58,plain,
p19(f10(f11(f14(f12(f15(f13(c23)))),c22),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))) != true,
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f59,plain,
! [X0] : ifeq(p18(X0),true,p19(f10(f11(f14(f12(f15(f13(c23)))),f4(f6(X0))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(X0))),true) = true,
inference(cnf_transformation,[status(esa)],[f29]) ).
fof(f597,plain,
! [X0,X1,X2] : ifeq(p19(X0,X1),true,ifeq(true,true,ifeq(p7(X0,X2),true,p19(X2,X1),true),true),true) = true,
inference(paramodulation,[status(thm)],[f34,f54]) ).
fof(f598,plain,
! [X0,X1,X2] : ifeq(p19(X0,X1),true,ifeq(p7(X0,X2),true,p19(X2,X1),true),true) = true,
inference(forward_demodulation,[status(thm)],[f31,f597]) ).
fof(f835,plain,
! [X0,X1,X2] : ifeq(p3(X0,X1),true,ifeq(true,true,p7(f11(X2,X0),f11(X2,X1)),true),true) = true,
inference(paramodulation,[status(thm)],[f34,f56]) ).
fof(f836,plain,
! [X0,X1,X2] : ifeq(p3(X0,X1),true,p7(f11(X2,X0),f11(X2,X1)),true) = true,
inference(forward_demodulation,[status(thm)],[f31,f835]) ).
fof(f845,plain,
! [X0,X1,X2] : ifeq(true,true,ifeq(p7(X0,X1),true,p7(f10(X0,X2),f10(X1,X2)),true),true) = true,
inference(paramodulation,[status(thm)],[f34,f57]) ).
fof(f846,plain,
! [X0,X1,X2] : ifeq(p7(X0,X1),true,p7(f10(X0,X2),f10(X1,X2)),true) = true,
inference(forward_demodulation,[status(thm)],[f31,f845]) ).
fof(f991,plain,
ifeq(true,true,p19(f10(f11(f14(f12(f15(f13(c23)))),f4(f6(c21))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))),true) = true,
inference(paramodulation,[status(thm)],[f33,f59]) ).
fof(f992,plain,
p19(f10(f11(f14(f12(f15(f13(c23)))),f4(f6(c21))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))) = true,
inference(forward_demodulation,[status(thm)],[f31,f991]) ).
fof(f1961,plain,
! [X0] : ifeq(true,true,p7(f11(X0,f4(f6(c21))),f11(X0,c22)),true) = true,
inference(paramodulation,[status(thm)],[f38,f836]) ).
fof(f1962,plain,
! [X0] : p7(f11(X0,f4(f6(c21))),f11(X0,c22)) = true,
inference(forward_demodulation,[status(thm)],[f31,f1961]) ).
fof(f2356,plain,
! [X0,X1] : ifeq(true,true,p7(f10(f11(X0,f4(f6(c21))),X1),f10(f11(X0,c22),X1)),true) = true,
inference(paramodulation,[status(thm)],[f1962,f846]) ).
fof(f2357,plain,
! [X0,X1] : p7(f10(f11(X0,f4(f6(c21))),X1),f10(f11(X0,c22),X1)) = true,
inference(forward_demodulation,[status(thm)],[f31,f2356]) ).
fof(f3459,plain,
! [X0] : ifeq(true,true,ifeq(p7(f10(f11(f14(f12(f15(f13(c23)))),f4(f6(c21))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),X0),true,p19(X0,f8(f9(c21))),true),true) = true,
inference(paramodulation,[status(thm)],[f992,f598]) ).
fof(f3460,plain,
! [X0] : ifeq(p7(f10(f11(f14(f12(f15(f13(c23)))),f4(f6(c21))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),X0),true,p19(X0,f8(f9(c21))),true) = true,
inference(forward_demodulation,[status(thm)],[f31,f3459]) ).
fof(f12427,plain,
ifeq(true,true,p19(f10(f11(f14(f12(f15(f13(c23)))),c22),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))),true) = true,
inference(paramodulation,[status(thm)],[f2357,f3460]) ).
fof(f12428,plain,
p19(f10(f11(f14(f12(f15(f13(c23)))),c22),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))) = true,
inference(forward_demodulation,[status(thm)],[f31,f12427]) ).
fof(f12429,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f12428,f58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SYN598-10 : TPTP v8.1.2. Released v7.5.0.
% 0.05/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32 % Computer : n008.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Mon Apr 29 22:01:42 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.10/0.33 % Drodi V3.6.0
% 2.72/0.71 % Refutation found
% 2.72/0.71 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 2.72/0.71 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.72/0.74 % Elapsed time: 0.408434 seconds
% 2.72/0.74 % CPU time: 3.044973 seconds
% 2.72/0.74 % Total memory used: 147.287 MB
% 2.72/0.74 % Net memory used: 146.362 MB
%------------------------------------------------------------------------------