TSTP Solution File: SYN143-10 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SYN143-10 : TPTP v8.1.2. Released v7.3.0.
% 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 : Tue Apr 30 20:51:26 EDT 2024

% Result   : Unsatisfiable 0.12s 0.47s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   32
%            Number of leaves      :   28
% Syntax   : Number of formulae    :  129 ( 129 unt;   0 def)
%            Number of atoms       :  129 ( 128 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    :    5 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   28 (  28 usr;   6 con; 0-4 aty)
%            Number of variables   :  190 ( 190   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [A,B,C] : ifeq(A,A,B,C) = B,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6,axiom,
    s0(b) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f15,axiom,
    ! [X] : p0(b,X) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f18,axiom,
    ! [X] : q0(X,d) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f20,axiom,
    ! [X,Y] : m0(X,d,Y) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f21,axiom,
    l0(a) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f33,axiom,
    k0(b) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f35,axiom,
    n0(c,d) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f38,axiom,
    n0(b,a) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f41,axiom,
    ! [H,G] : ifeq(n0(H,G),true,l1(G,G),true) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f88,axiom,
    ! [D,E] : ifeq(l0(D),true,ifeq(p0(b,E),true,ifeq(s0(b),true,n1(D,E,D),true),true),true) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f92,axiom,
    ! [E,F,G] : ifeq(n1(E,F,E),true,ifeq(l0(G),true,ifeq(l1(G,E),true,n1(E,F,F),true),true),true) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f122,axiom,
    ! [C,B] : ifeq(p0(C,B),true,p1(B,B,B),true) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f147,axiom,
    ! [C,D,B] : ifeq(m0(C,D,B),true,q1(B,B,B),true) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f162,axiom,
    ! [I] : ifeq(p0(I,I),true,s1(I),true) = true,
    file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p') ).

fof(f166,axiom,
    ! [A,J] : ifeq(q1(A,J,J),true,k2(J,J),true) = true,
    file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p') ).

fof(f213,axiom,
    ! [E,F] : ifeq(p1(E,E,E),true,ifeq(k0(F),true,q2(E,F,F),true),true) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f217,axiom,
    ! [I] : ifeq(p1(I,I,I),true,q2(I,I,I),true) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f218,axiom,
    ! [G,H,F] : ifeq(q2(G,H,F),true,ifeq(p1(F,F,H),true,ifeq(n1(G,F,H),true,q2(F,G,F),true),true),true) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f225,axiom,
    ! [H] : ifeq(q2(b,H,b),true,ifeq(s1(b),true,s2(H),true),true) = true,
    file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p') ).

fof(f307,axiom,
    ! [I,A,B,J] : ifeq(s2(I),true,ifeq(q2(A,I,A),true,ifeq(m0(A,B,J),true,s3(I,J),true),true),true) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f312,axiom,
    ! [E,G,F] : ifeq(s3(a,E),true,ifeq(l2(G,F),true,m4(E,F),true),true) = true,
    file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p') ).

fof(f337,axiom,
    ! [B] : ifeq(s4(B),true,ifeq(m4(e,e),true,m5(B,B),true),true) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f363,negated_conjecture,
    m5(d,d) != true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f364,plain,
    ! [X0,X1,X2] : ifeq(X0,X0,X1,X2) = X1,
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f369,plain,
    s0(b) = true,
    inference(cnf_transformation,[status(esa)],[f6]) ).

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(f384,plain,
    l0(a) = true,
    inference(cnf_transformation,[status(esa)],[f21]) ).

fof(f396,plain,
    k0(b) = true,
    inference(cnf_transformation,[status(esa)],[f33]) ).

fof(f398,plain,
    n0(c,d) = true,
    inference(cnf_transformation,[status(esa)],[f35]) ).

fof(f401,plain,
    n0(b,a) = true,
    inference(cnf_transformation,[status(esa)],[f38]) ).

fof(f404,plain,
    ! [X0,X1] : ifeq(n0(X0,X1),true,l1(X1,X1),true) = true,
    inference(cnf_transformation,[status(esa)],[f41]) ).

fof(f451,plain,
    ! [X0,X1] : ifeq(l0(X0),true,ifeq(p0(b,X1),true,ifeq(s0(b),true,n1(X0,X1,X0),true),true),true) = true,
    inference(cnf_transformation,[status(esa)],[f88]) ).

fof(f455,plain,
    ! [X0,X1,X2] : ifeq(n1(X0,X1,X0),true,ifeq(l0(X2),true,ifeq(l1(X2,X0),true,n1(X0,X1,X1),true),true),true) = true,
    inference(cnf_transformation,[status(esa)],[f92]) ).

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(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(f529,plain,
    ! [X0,X1] : ifeq(q1(X0,X1,X1),true,k2(X1,X1),true) = true,
    inference(cnf_transformation,[status(esa)],[f166]) ).

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(f576,plain,
    ! [X0,X1] : ifeq(p1(X0,X0,X0),true,ifeq(k0(X1),true,q2(X0,X1,X1),true),true) = true,
    inference(cnf_transformation,[status(esa)],[f213]) ).

fof(f580,plain,
    ! [X0] : ifeq(p1(X0,X0,X0),true,q2(X0,X0,X0),true) = true,
    inference(cnf_transformation,[status(esa)],[f217]) ).

fof(f581,plain,
    ! [X0,X1,X2] : ifeq(q2(X0,X1,X2),true,ifeq(p1(X2,X2,X1),true,ifeq(n1(X0,X2,X1),true,q2(X2,X0,X2),true),true),true) = true,
    inference(cnf_transformation,[status(esa)],[f218]) ).

fof(f588,plain,
    ! [X0] : ifeq(q2(b,X0,b),true,ifeq(s1(b),true,s2(X0),true),true) = true,
    inference(cnf_transformation,[status(esa)],[f225]) ).

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(f670,plain,
    ! [X0,X1,X2,X3] : ifeq(s2(X0),true,ifeq(q2(X1,X0,X1),true,ifeq(m0(X1,X2,X3),true,s3(X0,X3),true),true),true) = true,
    inference(cnf_transformation,[status(esa)],[f307]) ).

fof(f675,plain,
    ! [X0,X1,X2] : ifeq(s3(a,X0),true,ifeq(l2(X1,X2),true,m4(X0,X2),true),true) = true,
    inference(cnf_transformation,[status(esa)],[f312]) ).

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(f700,plain,
    ! [X0] : ifeq(s4(X0),true,ifeq(m4(e,e),true,m5(X0,X0),true),true) = true,
    inference(cnf_transformation,[status(esa)],[f337]) ).

fof(f726,plain,
    m5(d,d) != true,
    inference(cnf_transformation,[status(esa)],[f363]) ).

fof(f754,plain,
    ifeq(true,true,l1(a,a),true) = true,
    inference(paramodulation,[status(thm)],[f401,f404]) ).

fof(f755,plain,
    l1(a,a) = true,
    inference(forward_demodulation,[status(thm)],[f364,f754]) ).

fof(f756,plain,
    ifeq(true,true,l1(d,d),true) = true,
    inference(paramodulation,[status(thm)],[f398,f404]) ).

fof(f757,plain,
    l1(d,d) = true,
    inference(forward_demodulation,[status(thm)],[f364,f756]) ).

fof(f810,plain,
    ifeq(true,true,s1(b),true) = true,
    inference(paramodulation,[status(thm)],[f378,f525]) ).

fof(f811,plain,
    s1(b) = true,
    inference(forward_demodulation,[status(thm)],[f364,f810]) ).

fof(f1572,plain,
    ! [X0] : ifeq(true,true,p1(X0,X0,X0),true) = true,
    inference(paramodulation,[status(thm)],[f378,f485]) ).

fof(f1573,plain,
    ! [X0] : p1(X0,X0,X0) = true,
    inference(forward_demodulation,[status(thm)],[f364,f1572]) ).

fof(f1988,plain,
    ! [X0,X1] : ifeq(l0(X0),true,ifeq(true,true,ifeq(s0(b),true,n1(X0,X1,X0),true),true),true) = true,
    inference(forward_demodulation,[status(thm)],[f378,f451]) ).

fof(f1989,plain,
    ! [X0,X1] : ifeq(l0(X0),true,ifeq(s0(b),true,n1(X0,X1,X0),true),true) = true,
    inference(forward_demodulation,[status(thm)],[f364,f1988]) ).

fof(f1990,plain,
    ! [X0,X1] : ifeq(l0(X0),true,ifeq(true,true,n1(X0,X1,X0),true),true) = true,
    inference(forward_demodulation,[status(thm)],[f369,f1989]) ).

fof(f1991,plain,
    ! [X0,X1] : ifeq(l0(X0),true,n1(X0,X1,X0),true) = true,
    inference(forward_demodulation,[status(thm)],[f364,f1990]) ).

fof(f1994,plain,
    ! [X0] : ifeq(true,true,n1(a,X0,a),true) = true,
    inference(paramodulation,[status(thm)],[f384,f1991]) ).

fof(f1995,plain,
    ! [X0] : n1(a,X0,a) = true,
    inference(forward_demodulation,[status(thm)],[f364,f1994]) ).

fof(f2577,plain,
    ! [X0] : ifeq(n1(a,X0,a),true,ifeq(l0(a),true,ifeq(true,true,n1(a,X0,X0),true),true),true) = true,
    inference(paramodulation,[status(thm)],[f755,f455]) ).

fof(f2578,plain,
    ! [X0] : ifeq(true,true,ifeq(l0(a),true,ifeq(true,true,n1(a,X0,X0),true),true),true) = true,
    inference(forward_demodulation,[status(thm)],[f1995,f2577]) ).

fof(f2579,plain,
    ! [X0] : ifeq(l0(a),true,ifeq(true,true,n1(a,X0,X0),true),true) = true,
    inference(forward_demodulation,[status(thm)],[f364,f2578]) ).

fof(f2580,plain,
    ! [X0] : ifeq(true,true,ifeq(true,true,n1(a,X0,X0),true),true) = true,
    inference(forward_demodulation,[status(thm)],[f384,f2579]) ).

fof(f2581,plain,
    ! [X0] : ifeq(true,true,n1(a,X0,X0),true) = true,
    inference(forward_demodulation,[status(thm)],[f364,f2580]) ).

fof(f2582,plain,
    ! [X0] : n1(a,X0,X0) = true,
    inference(forward_demodulation,[status(thm)],[f364,f2581]) ).

fof(f2729,plain,
    ! [X0] : ifeq(true,true,q1(X0,X0,X0),true) = true,
    inference(paramodulation,[status(thm)],[f383,f510]) ).

fof(f2730,plain,
    ! [X0] : q1(X0,X0,X0) = true,
    inference(forward_demodulation,[status(thm)],[f364,f2729]) ).

fof(f2803,plain,
    ! [X0] : ifeq(true,true,k2(X0,X0),true) = true,
    inference(paramodulation,[status(thm)],[f2730,f529]) ).

fof(f2804,plain,
    ! [X0] : k2(X0,X0) = true,
    inference(forward_demodulation,[status(thm)],[f364,f2803]) ).

fof(f2948,plain,
    ! [X0] : ifeq(true,true,q2(X0,X0,X0),true) = true,
    inference(forward_demodulation,[status(thm)],[f1573,f580]) ).

fof(f2949,plain,
    ! [X0] : q2(X0,X0,X0) = true,
    inference(forward_demodulation,[status(thm)],[f364,f2948]) ).

fof(f4915,plain,
    ! [X0,X1] : ifeq(s1(X0),true,ifeq(true,true,s1(X1),true),true) = true,
    inference(paramodulation,[status(thm)],[f381,f526]) ).

fof(f4916,plain,
    ! [X0,X1] : ifeq(s1(X0),true,s1(X1),true) = true,
    inference(forward_demodulation,[status(thm)],[f364,f4915]) ).

fof(f4999,plain,
    ! [X0] : ifeq(true,true,s1(X0),true) = true,
    inference(paramodulation,[status(thm)],[f811,f4916]) ).

fof(f5000,plain,
    ! [X0] : s1(X0) = true,
    inference(forward_demodulation,[status(thm)],[f364,f4999]) ).

fof(f5027,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)],[f5000,f532]) ).

fof(f5028,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,f5027]) ).

fof(f5045,plain,
    ! [X0,X1] : ifeq(p0(X0,X0),true,ifeq(true,true,l2(X1,X1),true),true) = true,
    inference(paramodulation,[status(thm)],[f383,f5028]) ).

fof(f5046,plain,
    ! [X0,X1] : ifeq(p0(X0,X0),true,l2(X1,X1),true) = true,
    inference(forward_demodulation,[status(thm)],[f364,f5045]) ).

fof(f5142,plain,
    ! [X0] : ifeq(true,true,l2(X0,X0),true) = true,
    inference(paramodulation,[status(thm)],[f378,f5046]) ).

fof(f5143,plain,
    ! [X0] : l2(X0,X0) = true,
    inference(forward_demodulation,[status(thm)],[f364,f5142]) ).

fof(f6349,plain,
    ! [X0,X1] : ifeq(true,true,ifeq(k0(X0),true,q2(X1,X0,X0),true),true) = true,
    inference(forward_demodulation,[status(thm)],[f1573,f576]) ).

fof(f6350,plain,
    ! [X0,X1] : ifeq(k0(X0),true,q2(X1,X0,X0),true) = true,
    inference(forward_demodulation,[status(thm)],[f364,f6349]) ).

fof(f6351,plain,
    ! [X0] : ifeq(true,true,q2(X0,b,b),true) = true,
    inference(paramodulation,[status(thm)],[f396,f6350]) ).

fof(f6352,plain,
    ! [X0] : q2(X0,b,b) = true,
    inference(forward_demodulation,[status(thm)],[f364,f6351]) ).

fof(f6456,plain,
    ! [X0] : ifeq(q2(a,X0,X0),true,ifeq(p1(X0,X0,X0),true,ifeq(true,true,q2(X0,a,X0),true),true),true) = true,
    inference(paramodulation,[status(thm)],[f2582,f581]) ).

fof(f6457,plain,
    ! [X0] : ifeq(q2(a,X0,X0),true,ifeq(true,true,ifeq(true,true,q2(X0,a,X0),true),true),true) = true,
    inference(forward_demodulation,[status(thm)],[f1573,f6456]) ).

fof(f6458,plain,
    ! [X0] : ifeq(q2(a,X0,X0),true,ifeq(true,true,q2(X0,a,X0),true),true) = true,
    inference(forward_demodulation,[status(thm)],[f364,f6457]) ).

fof(f6459,plain,
    ! [X0] : ifeq(q2(a,X0,X0),true,q2(X0,a,X0),true) = true,
    inference(forward_demodulation,[status(thm)],[f364,f6458]) ).

fof(f6735,plain,
    ! [X0] : ifeq(q2(b,X0,b),true,ifeq(true,true,s2(X0),true),true) = true,
    inference(forward_demodulation,[status(thm)],[f5000,f588]) ).

fof(f6736,plain,
    ! [X0] : ifeq(q2(b,X0,b),true,s2(X0),true) = true,
    inference(forward_demodulation,[status(thm)],[f364,f6735]) ).

fof(f7219,plain,
    ifeq(true,true,q2(b,a,b),true) = true,
    inference(paramodulation,[status(thm)],[f6352,f6459]) ).

fof(f7220,plain,
    q2(b,a,b) = true,
    inference(forward_demodulation,[status(thm)],[f364,f7219]) ).

fof(f7240,plain,
    ifeq(true,true,s2(a),true) = true,
    inference(paramodulation,[status(thm)],[f7220,f6736]) ).

fof(f7241,plain,
    s2(a) = true,
    inference(forward_demodulation,[status(thm)],[f364,f7240]) ).

fof(f8102,plain,
    ! [X0,X1] : ifeq(true,true,ifeq(k2(X0,X1),true,p3(d,X0,X1),true),true) = true,
    inference(paramodulation,[status(thm)],[f2949,f638]) ).

fof(f8103,plain,
    ! [X0,X1] : ifeq(k2(X0,X1),true,p3(d,X0,X1),true) = true,
    inference(forward_demodulation,[status(thm)],[f364,f8102]) ).

fof(f8221,plain,
    ! [X0] : ifeq(true,true,p3(d,X0,X0),true) = true,
    inference(paramodulation,[status(thm)],[f2804,f8103]) ).

fof(f8222,plain,
    ! [X0] : p3(d,X0,X0) = true,
    inference(forward_demodulation,[status(thm)],[f364,f8221]) ).

fof(f9579,plain,
    ! [X0,X1] : ifeq(s2(a),true,ifeq(true,true,ifeq(m0(b,X0,X1),true,s3(a,X1),true),true),true) = true,
    inference(paramodulation,[status(thm)],[f7220,f670]) ).

fof(f9580,plain,
    ! [X0,X1] : ifeq(true,true,ifeq(true,true,ifeq(m0(b,X0,X1),true,s3(a,X1),true),true),true) = true,
    inference(forward_demodulation,[status(thm)],[f7241,f9579]) ).

fof(f9581,plain,
    ! [X0,X1] : ifeq(true,true,ifeq(m0(b,X0,X1),true,s3(a,X1),true),true) = true,
    inference(forward_demodulation,[status(thm)],[f364,f9580]) ).

fof(f9582,plain,
    ! [X0,X1] : ifeq(m0(b,X0,X1),true,s3(a,X1),true) = true,
    inference(forward_demodulation,[status(thm)],[f364,f9581]) ).

fof(f9719,plain,
    ! [X0,X1] : ifeq(s3(a,X0),true,ifeq(true,true,m4(X0,X1),true),true) = true,
    inference(paramodulation,[status(thm)],[f5143,f675]) ).

fof(f9720,plain,
    ! [X0,X1] : ifeq(s3(a,X0),true,m4(X0,X1),true) = true,
    inference(forward_demodulation,[status(thm)],[f364,f9719]) ).

fof(f10144,plain,
    ! [X0] : ifeq(true,true,s3(a,X0),true) = true,
    inference(paramodulation,[status(thm)],[f383,f9582]) ).

fof(f10145,plain,
    ! [X0] : s3(a,X0) = true,
    inference(forward_demodulation,[status(thm)],[f364,f10144]) ).

fof(f10184,plain,
    ! [X0,X1] : ifeq(true,true,m4(X0,X1),true) = true,
    inference(backward_demodulation,[status(thm)],[f10145,f9720]) ).

fof(f10185,plain,
    ! [X0,X1] : m4(X0,X1) = true,
    inference(forward_demodulation,[status(thm)],[f364,f10184]) ).

fof(f10192,plain,
    ! [X0] : ifeq(s4(X0),true,ifeq(true,true,m5(X0,X0),true),true) = true,
    inference(backward_demodulation,[status(thm)],[f10185,f700]) ).

fof(f10193,plain,
    ! [X0] : ifeq(s4(X0),true,m5(X0,X0),true) = true,
    inference(forward_demodulation,[status(thm)],[f364,f10192]) ).

fof(f10200,plain,
    ! [X0,X1] : ifeq(true,true,ifeq(l1(X0,X1),true,s4(X0),true),true) = true,
    inference(paramodulation,[status(thm)],[f8222,f694]) ).

fof(f10201,plain,
    ! [X0,X1] : ifeq(l1(X0,X1),true,s4(X0),true) = true,
    inference(forward_demodulation,[status(thm)],[f364,f10200]) ).

fof(f10295,plain,
    ifeq(true,true,s4(d),true) = true,
    inference(paramodulation,[status(thm)],[f757,f10201]) ).

fof(f10296,plain,
    s4(d) = true,
    inference(forward_demodulation,[status(thm)],[f364,f10295]) ).

fof(f10337,plain,
    ifeq(true,true,m5(d,d),true) = true,
    inference(paramodulation,[status(thm)],[f10296,f10193]) ).

fof(f10338,plain,
    m5(d,d) = true,
    inference(forward_demodulation,[status(thm)],[f364,f10337]) ).

fof(f10339,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f10338,f726]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem  : SYN143-10 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.09  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.28  % Computer : n032.cluster.edu
% 0.08/0.28  % Model    : x86_64 x86_64
% 0.08/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28  % Memory   : 8042.1875MB
% 0.08/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28  % CPULimit : 300
% 0.08/0.28  % WCLimit  : 300
% 0.08/0.28  % DateTime : Mon Apr 29 22:08:35 EDT 2024
% 0.08/0.28  % CPUTime  : 
% 0.12/0.29  % Drodi V3.6.0
% 0.12/0.47  % Refutation found
% 0.12/0.47  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.47  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.49  % Elapsed time: 0.208124 seconds
% 0.12/0.49  % CPU time: 1.509915 seconds
% 0.12/0.49  % Total memory used: 79.654 MB
% 0.12/0.49  % Net memory used: 77.929 MB
%------------------------------------------------------------------------------