TSTP Solution File: SYN193-10 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SYN193-10 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n013.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 20:51:33 EDT 2024
% Result : Unsatisfiable 1.32s 0.59s
% Output : CNFRefutation 1.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 18
% Syntax : Number of formulae : 74 ( 74 unt; 0 def)
% Number of atoms : 74 ( 73 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 : 5 ( 1 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 : 112 ( 112 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : ifeq(A,A,B,C) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [X] : p0(b,X) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [X] : q0(X,d) = 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(f25,axiom,
l0(c) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,axiom,
n0(d,c) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,axiom,
n0(c,d) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f40,axiom,
! [J,I] : ifeq(n0(J,I),true,k1(I),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f45,axiom,
! [A,J] : ifeq(m0(A,A,J),true,m1(J,J,J),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f162,axiom,
! [I] : ifeq(p0(I,I),true,s1(I),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f163,axiom,
! [H,F,G] : ifeq(s1(H),true,ifeq(q0(F,G),true,s1(F),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f169,axiom,
! [B,A,C,J] : ifeq(s1(B),true,ifeq(p0(A,A),true,ifeq(m0(C,B,J),true,l2(J,J),true),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f186,axiom,
! [G,F] : ifeq(m1(G,G,F),true,p2(F,F,F),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f219,axiom,
! [E,D] : ifeq(l2(E,D),true,ifeq(l0(c),true,ifeq(k1(E),true,q2(D,c,E),true),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f274,axiom,
! [E,F,D] : ifeq(p2(E,F,D),true,n3(D),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f289,axiom,
! [I,G,H] : ifeq(q2(I,G,H),true,ifeq(n0(I,G),true,q3(G,H),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f330,axiom,
! [H,I,G,J] : ifeq(q3(H,I),true,ifeq(n3(G),true,ifeq(p0(J,G),true,r4(G),true),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f363,negated_conjecture,
r4(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(f378,plain,
! [X0] : p0(b,X0) = true,
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f381,plain,
! [X0] : q0(X0,d) = true,
inference(cnf_transformation,[status(esa)],[f18]) ).
fof(f383,plain,
! [X0,X1] : m0(X0,d,X1) = true,
inference(cnf_transformation,[status(esa)],[f20]) ).
fof(f388,plain,
l0(c) = true,
inference(cnf_transformation,[status(esa)],[f25]) ).
fof(f390,plain,
n0(d,c) = true,
inference(cnf_transformation,[status(esa)],[f27]) ).
fof(f398,plain,
n0(c,d) = true,
inference(cnf_transformation,[status(esa)],[f35]) ).
fof(f403,plain,
! [X0,X1] : ifeq(n0(X0,X1),true,k1(X1),true) = true,
inference(cnf_transformation,[status(esa)],[f40]) ).
fof(f408,plain,
! [X0,X1] : ifeq(m0(X0,X0,X1),true,m1(X1,X1,X1),true) = true,
inference(cnf_transformation,[status(esa)],[f45]) ).
fof(f525,plain,
! [X0] : ifeq(p0(X0,X0),true,s1(X0),true) = true,
inference(cnf_transformation,[status(esa)],[f162]) ).
fof(f526,plain,
! [X0,X1,X2] : ifeq(s1(X0),true,ifeq(q0(X1,X2),true,s1(X1),true),true) = true,
inference(cnf_transformation,[status(esa)],[f163]) ).
fof(f532,plain,
! [X0,X1,X2,X3] : ifeq(s1(X0),true,ifeq(p0(X1,X1),true,ifeq(m0(X2,X0,X3),true,l2(X3,X3),true),true),true) = true,
inference(cnf_transformation,[status(esa)],[f169]) ).
fof(f549,plain,
! [X0,X1] : ifeq(m1(X0,X0,X1),true,p2(X1,X1,X1),true) = true,
inference(cnf_transformation,[status(esa)],[f186]) ).
fof(f582,plain,
! [X0,X1] : ifeq(l2(X0,X1),true,ifeq(l0(c),true,ifeq(k1(X0),true,q2(X1,c,X0),true),true),true) = true,
inference(cnf_transformation,[status(esa)],[f219]) ).
fof(f637,plain,
! [X0,X1,X2] : ifeq(p2(X0,X1,X2),true,n3(X2),true) = true,
inference(cnf_transformation,[status(esa)],[f274]) ).
fof(f652,plain,
! [X0,X1,X2] : ifeq(q2(X0,X1,X2),true,ifeq(n0(X0,X1),true,q3(X1,X2),true),true) = true,
inference(cnf_transformation,[status(esa)],[f289]) ).
fof(f693,plain,
! [X0,X1,X2,X3] : ifeq(q3(X0,X1),true,ifeq(n3(X2),true,ifeq(p0(X3,X2),true,r4(X2),true),true),true) = true,
inference(cnf_transformation,[status(esa)],[f330]) ).
fof(f726,plain,
r4(b) != true,
inference(cnf_transformation,[status(esa)],[f363]) ).
fof(f727,plain,
! [X0,X1,X2] : ifeq(q3(X0,X1),true,ifeq(n3(X2),true,ifeq(true,true,r4(X2),true),true),true) = true,
inference(paramodulation,[status(thm)],[f378,f693]) ).
fof(f728,plain,
! [X0,X1,X2] : ifeq(q3(X0,X1),true,ifeq(n3(X2),true,r4(X2),true),true) = true,
inference(forward_demodulation,[status(thm)],[f364,f727]) ).
fof(f733,plain,
ifeq(true,true,k1(d),true) = true,
inference(paramodulation,[status(thm)],[f398,f403]) ).
fof(f734,plain,
k1(d) = true,
inference(forward_demodulation,[status(thm)],[f364,f733]) ).
fof(f806,plain,
ifeq(true,true,s1(b),true) = true,
inference(paramodulation,[status(thm)],[f378,f525]) ).
fof(f807,plain,
s1(b) = true,
inference(forward_demodulation,[status(thm)],[f364,f806]) ).
fof(f872,plain,
! [X0] : ifeq(true,true,m1(X0,X0,X0),true) = true,
inference(paramodulation,[status(thm)],[f383,f408]) ).
fof(f873,plain,
! [X0] : m1(X0,X0,X0) = true,
inference(forward_demodulation,[status(thm)],[f364,f872]) ).
fof(f2900,plain,
! [X0] : ifeq(true,true,p2(X0,X0,X0),true) = true,
inference(paramodulation,[status(thm)],[f873,f549]) ).
fof(f2901,plain,
! [X0] : p2(X0,X0,X0) = true,
inference(forward_demodulation,[status(thm)],[f364,f2900]) ).
fof(f2915,plain,
! [X0] : ifeq(true,true,n3(X0),true) = true,
inference(paramodulation,[status(thm)],[f2901,f637]) ).
fof(f2916,plain,
! [X0] : n3(X0) = true,
inference(forward_demodulation,[status(thm)],[f364,f2915]) ).
fof(f2918,plain,
! [X0,X1,X2] : ifeq(q3(X0,X1),true,ifeq(true,true,r4(X2),true),true) = true,
inference(backward_demodulation,[status(thm)],[f2916,f728]) ).
fof(f2919,plain,
! [X0,X1,X2] : ifeq(q3(X0,X1),true,r4(X2),true) = true,
inference(forward_demodulation,[status(thm)],[f364,f2918]) ).
fof(f4962,plain,
! [X0,X1] : ifeq(s1(X0),true,ifeq(true,true,s1(X1),true),true) = true,
inference(paramodulation,[status(thm)],[f381,f526]) ).
fof(f4963,plain,
! [X0,X1] : ifeq(s1(X0),true,s1(X1),true) = true,
inference(forward_demodulation,[status(thm)],[f364,f4962]) ).
fof(f5050,plain,
! [X0] : ifeq(true,true,s1(X0),true) = true,
inference(paramodulation,[status(thm)],[f807,f4963]) ).
fof(f5051,plain,
! [X0] : s1(X0) = true,
inference(forward_demodulation,[status(thm)],[f364,f5050]) ).
fof(f5078,plain,
! [X0,X1,X2,X3] : ifeq(true,true,ifeq(p0(X0,X0),true,ifeq(m0(X1,X2,X3),true,l2(X3,X3),true),true),true) = true,
inference(forward_demodulation,[status(thm)],[f5051,f532]) ).
fof(f5079,plain,
! [X0,X1,X2,X3] : ifeq(p0(X0,X0),true,ifeq(m0(X1,X2,X3),true,l2(X3,X3),true),true) = true,
inference(forward_demodulation,[status(thm)],[f364,f5078]) ).
fof(f5096,plain,
! [X0,X1] : ifeq(p0(X0,X0),true,ifeq(true,true,l2(X1,X1),true),true) = true,
inference(paramodulation,[status(thm)],[f383,f5079]) ).
fof(f5097,plain,
! [X0,X1] : ifeq(p0(X0,X0),true,l2(X1,X1),true) = true,
inference(forward_demodulation,[status(thm)],[f364,f5096]) ).
fof(f5197,plain,
! [X0] : ifeq(true,true,l2(X0,X0),true) = true,
inference(paramodulation,[status(thm)],[f378,f5097]) ).
fof(f5198,plain,
! [X0] : l2(X0,X0) = true,
inference(forward_demodulation,[status(thm)],[f364,f5197]) ).
fof(f6532,plain,
! [X0,X1] : ifeq(l2(X0,X1),true,ifeq(true,true,ifeq(k1(X0),true,q2(X1,c,X0),true),true),true) = true,
inference(forward_demodulation,[status(thm)],[f388,f582]) ).
fof(f6533,plain,
! [X0,X1] : ifeq(l2(X0,X1),true,ifeq(k1(X0),true,q2(X1,c,X0),true),true) = true,
inference(forward_demodulation,[status(thm)],[f364,f6532]) ).
fof(f6538,plain,
! [X0] : ifeq(true,true,ifeq(k1(X0),true,q2(X0,c,X0),true),true) = true,
inference(paramodulation,[status(thm)],[f5198,f6533]) ).
fof(f6539,plain,
! [X0] : ifeq(k1(X0),true,q2(X0,c,X0),true) = true,
inference(forward_demodulation,[status(thm)],[f364,f6538]) ).
fof(f6585,plain,
ifeq(true,true,q2(d,c,d),true) = true,
inference(paramodulation,[status(thm)],[f734,f6539]) ).
fof(f6586,plain,
q2(d,c,d) = true,
inference(forward_demodulation,[status(thm)],[f364,f6585]) ).
fof(f8484,plain,
ifeq(true,true,ifeq(n0(d,c),true,q3(c,d),true),true) = true,
inference(paramodulation,[status(thm)],[f6586,f652]) ).
fof(f8485,plain,
ifeq(n0(d,c),true,q3(c,d),true) = true,
inference(forward_demodulation,[status(thm)],[f364,f8484]) ).
fof(f8486,plain,
ifeq(true,true,q3(c,d),true) = true,
inference(forward_demodulation,[status(thm)],[f390,f8485]) ).
fof(f8487,plain,
q3(c,d) = true,
inference(forward_demodulation,[status(thm)],[f364,f8486]) ).
fof(f8550,plain,
! [X0] : ifeq(true,true,r4(X0),true) = true,
inference(paramodulation,[status(thm)],[f8487,f2919]) ).
fof(f8551,plain,
! [X0] : r4(X0) = true,
inference(forward_demodulation,[status(thm)],[f364,f8550]) ).
fof(f8553,plain,
true != true,
inference(backward_demodulation,[status(thm)],[f8551,f726]) ).
fof(f8554,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f8553]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN193-10 : TPTP v8.1.2. Released v7.3.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n013.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 21:53:49 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 1.32/0.59 % Refutation found
% 1.32/0.59 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.32/0.59 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.32/0.61 % Elapsed time: 0.259866 seconds
% 1.32/0.61 % CPU time: 1.862145 seconds
% 1.32/0.61 % Total memory used: 81.646 MB
% 1.32/0.61 % Net memory used: 79.395 MB
%------------------------------------------------------------------------------