TSTP Solution File: SYN116-10 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN116-10 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n032.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 : Wed May 31 12:46:01 EDT 2023
% Result : Unsatisfiable 0.10s 0.49s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 17
% Syntax : Number of formulae : 66 ( 66 unt; 0 def)
% Number of atoms : 66 ( 65 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 5 con; 0-4 aty)
% Number of variables : 104 (; 104 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : ifeq(A,A,B,C) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
r0(e) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [X] : p0(b,X) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [X,Y] : m0(X,d,Y) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,axiom,
n0(d,c) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f41,axiom,
! [H,G] : ifeq(n0(H,G),true,l1(G,G),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f46,axiom,
! [I,H,G] : ifeq(p0(I,H),true,ifeq(r0(G),true,m1(G,H,G),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f122,axiom,
! [C,B] : ifeq(p0(C,B),true,p1(B,B,B),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f147,axiom,
! [C,D,B] : ifeq(m0(C,D,B),true,q1(B,B,B),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f166,axiom,
! [A,J] : ifeq(q1(A,J,J),true,k2(J,J),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f212,axiom,
! [E,D] : ifeq(m1(E,D,E),true,p2(D,E,D),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f217,axiom,
! [I] : ifeq(p1(I,I,I),true,q2(I,I,I),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f275,axiom,
! [F,C,D,E] : ifeq(q2(F,d,C),true,ifeq(k2(D,E),true,p3(C,D,E),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f301,axiom,
! [B,D,C] : ifeq(p2(B,D,C),true,r3(B,C,B),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f331,axiom,
! [B,C,D,A] : ifeq(p3(B,C,D),true,ifeq(l1(A,C),true,s4(A),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f332,axiom,
! [F,G,E] : ifeq(s4(F),true,ifeq(r3(G,E,E),true,k5(E),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f363,negated_conjecture,
k5(b) != true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f364,plain,
! [X0,X1,X2] : ifeq(X0,X0,X1,X2) = X1,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f377,plain,
r0(e) = true,
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f378,plain,
! [X0] : p0(b,X0) = true,
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f383,plain,
! [X0,X1] : m0(X0,d,X1) = true,
inference(cnf_transformation,[status(esa)],[f20]) ).
fof(f390,plain,
n0(d,c) = true,
inference(cnf_transformation,[status(esa)],[f27]) ).
fof(f404,plain,
! [X0,X1] : ifeq(n0(X0,X1),true,l1(X1,X1),true) = true,
inference(cnf_transformation,[status(esa)],[f41]) ).
fof(f409,plain,
! [X0,X1,X2] : ifeq(p0(X0,X1),true,ifeq(r0(X2),true,m1(X2,X1,X2),true),true) = true,
inference(cnf_transformation,[status(esa)],[f46]) ).
fof(f485,plain,
! [X0,X1] : ifeq(p0(X0,X1),true,p1(X1,X1,X1),true) = true,
inference(cnf_transformation,[status(esa)],[f122]) ).
fof(f510,plain,
! [X0,X1,X2] : ifeq(m0(X0,X1,X2),true,q1(X2,X2,X2),true) = true,
inference(cnf_transformation,[status(esa)],[f147]) ).
fof(f529,plain,
! [X0,X1] : ifeq(q1(X0,X1,X1),true,k2(X1,X1),true) = true,
inference(cnf_transformation,[status(esa)],[f166]) ).
fof(f575,plain,
! [X0,X1] : ifeq(m1(X0,X1,X0),true,p2(X1,X0,X1),true) = true,
inference(cnf_transformation,[status(esa)],[f212]) ).
fof(f580,plain,
! [X0] : ifeq(p1(X0,X0,X0),true,q2(X0,X0,X0),true) = true,
inference(cnf_transformation,[status(esa)],[f217]) ).
fof(f638,plain,
! [X0,X1,X2,X3] : ifeq(q2(X0,d,X1),true,ifeq(k2(X2,X3),true,p3(X1,X2,X3),true),true) = true,
inference(cnf_transformation,[status(esa)],[f275]) ).
fof(f664,plain,
! [X0,X1,X2] : ifeq(p2(X0,X1,X2),true,r3(X0,X2,X0),true) = true,
inference(cnf_transformation,[status(esa)],[f301]) ).
fof(f694,plain,
! [X0,X1,X2,X3] : ifeq(p3(X0,X1,X2),true,ifeq(l1(X3,X1),true,s4(X3),true),true) = true,
inference(cnf_transformation,[status(esa)],[f331]) ).
fof(f695,plain,
! [X0,X1,X2] : ifeq(s4(X0),true,ifeq(r3(X1,X2,X2),true,k5(X2),true),true) = true,
inference(cnf_transformation,[status(esa)],[f332]) ).
fof(f726,plain,
k5(b) != true,
inference(cnf_transformation,[status(esa)],[f363]) ).
fof(f761,plain,
ifeq(true,true,l1(c,c),true) = true,
inference(paramodulation,[status(thm)],[f390,f404]) ).
fof(f762,plain,
l1(c,c) = true,
inference(forward_demodulation,[status(thm)],[f364,f761]) ).
fof(f882,plain,
! [X0,X1] : ifeq(true,true,ifeq(r0(X0),true,m1(X0,X1,X0),true),true) = true,
inference(paramodulation,[status(thm)],[f378,f409]) ).
fof(f883,plain,
! [X0,X1] : ifeq(r0(X0),true,m1(X0,X1,X0),true) = true,
inference(forward_demodulation,[status(thm)],[f364,f882]) ).
fof(f1189,plain,
! [X0] : ifeq(true,true,m1(e,X0,e),true) = true,
inference(paramodulation,[status(thm)],[f377,f883]) ).
fof(f1190,plain,
! [X0] : m1(e,X0,e) = true,
inference(forward_demodulation,[status(thm)],[f364,f1189]) ).
fof(f1570,plain,
! [X0] : ifeq(true,true,p1(X0,X0,X0),true) = true,
inference(paramodulation,[status(thm)],[f378,f485]) ).
fof(f1571,plain,
! [X0] : p1(X0,X0,X0) = true,
inference(forward_demodulation,[status(thm)],[f364,f1570]) ).
fof(f2727,plain,
! [X0] : ifeq(true,true,q1(X0,X0,X0),true) = true,
inference(paramodulation,[status(thm)],[f383,f510]) ).
fof(f2728,plain,
! [X0] : q1(X0,X0,X0) = true,
inference(forward_demodulation,[status(thm)],[f364,f2727]) ).
fof(f2801,plain,
! [X0] : ifeq(true,true,k2(X0,X0),true) = true,
inference(paramodulation,[status(thm)],[f2728,f529]) ).
fof(f2802,plain,
! [X0] : k2(X0,X0) = true,
inference(forward_demodulation,[status(thm)],[f364,f2801]) ).
fof(f2925,plain,
! [X0] : ifeq(true,true,p2(X0,e,X0),true) = true,
inference(paramodulation,[status(thm)],[f1190,f575]) ).
fof(f2926,plain,
! [X0] : p2(X0,e,X0) = true,
inference(forward_demodulation,[status(thm)],[f364,f2925]) ).
fof(f2946,plain,
! [X0] : ifeq(true,true,q2(X0,X0,X0),true) = true,
inference(forward_demodulation,[status(thm)],[f1571,f580]) ).
fof(f2947,plain,
! [X0] : q2(X0,X0,X0) = true,
inference(forward_demodulation,[status(thm)],[f364,f2946]) ).
fof(f3134,plain,
! [X0] : ifeq(true,true,r3(X0,X0,X0),true) = true,
inference(paramodulation,[status(thm)],[f2926,f664]) ).
fof(f3135,plain,
! [X0] : r3(X0,X0,X0) = true,
inference(forward_demodulation,[status(thm)],[f364,f3134]) ).
fof(f3144,plain,
! [X0,X1] : ifeq(s4(X0),true,ifeq(true,true,k5(X1),true),true) = true,
inference(paramodulation,[status(thm)],[f3135,f695]) ).
fof(f3145,plain,
! [X0,X1] : ifeq(s4(X0),true,k5(X1),true) = true,
inference(forward_demodulation,[status(thm)],[f364,f3144]) ).
fof(f8094,plain,
! [X0,X1] : ifeq(true,true,ifeq(k2(X0,X1),true,p3(d,X0,X1),true),true) = true,
inference(paramodulation,[status(thm)],[f2947,f638]) ).
fof(f8095,plain,
! [X0,X1] : ifeq(k2(X0,X1),true,p3(d,X0,X1),true) = true,
inference(forward_demodulation,[status(thm)],[f364,f8094]) ).
fof(f8148,plain,
! [X0] : ifeq(true,true,p3(d,X0,X0),true) = true,
inference(paramodulation,[status(thm)],[f2802,f8095]) ).
fof(f8149,plain,
! [X0] : p3(d,X0,X0) = true,
inference(forward_demodulation,[status(thm)],[f364,f8148]) ).
fof(f8461,plain,
! [X0,X1] : ifeq(true,true,ifeq(l1(X0,X1),true,s4(X0),true),true) = true,
inference(paramodulation,[status(thm)],[f8149,f694]) ).
fof(f8462,plain,
! [X0,X1] : ifeq(l1(X0,X1),true,s4(X0),true) = true,
inference(forward_demodulation,[status(thm)],[f364,f8461]) ).
fof(f8715,plain,
ifeq(true,true,s4(c),true) = true,
inference(paramodulation,[status(thm)],[f762,f8462]) ).
fof(f8716,plain,
s4(c) = true,
inference(forward_demodulation,[status(thm)],[f364,f8715]) ).
fof(f8741,plain,
! [X0] : ifeq(true,true,k5(X0),true) = true,
inference(paramodulation,[status(thm)],[f8716,f3145]) ).
fof(f8742,plain,
! [X0] : k5(X0) = true,
inference(forward_demodulation,[status(thm)],[f364,f8741]) ).
fof(f8755,plain,
true != true,
inference(backward_demodulation,[status(thm)],[f8742,f726]) ).
fof(f8756,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f8755]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : SYN116-10 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.08 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.27 % Computer : n032.cluster.edu
% 0.07/0.27 % Model : x86_64 x86_64
% 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27 % Memory : 8042.1875MB
% 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27 % CPULimit : 300
% 0.07/0.27 % WCLimit : 300
% 0.07/0.27 % DateTime : Tue May 30 10:27:01 EDT 2023
% 0.07/0.27 % CPUTime :
% 0.07/0.28 % Drodi V3.5.1
% 0.10/0.49 % Refutation found
% 0.10/0.49 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.49 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.37/0.52 % Elapsed time: 0.237721 seconds
% 1.37/0.52 % CPU time: 1.372896 seconds
% 1.37/0.52 % Memory used: 56.586 MB
%------------------------------------------------------------------------------