TSTP Solution File: SYN214-10 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SYN214-10 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n003.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 20:51:36 EDT 2024

% Result   : Unsatisfiable 0.20s 0.57s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   29
%            Number of leaves      :   28
% Syntax   : Number of formulae    :  126 ( 126 unt;   0 def)
%            Number of atoms       :  126 ( 125 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    :    6 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   27 (  27 usr;   4 con; 0-4 aty)
%            Number of variables   :  206 ( 206   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [A,B,C] : ifeq(A,A,B,C) = B,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    s0(d) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f8,axiom,
    n0(d,b) = true,
    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(f33,axiom,
    k0(b) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f35,axiom,
    n0(c,d) = 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(f97,axiom,
    ! [J,A,I,H] : ifeq(m0(J,A,A),true,ifeq(m0(I,J,H),true,n1(H,H,I),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(f129,axiom,
    ! [C,J,B,A] : ifeq(p0(C,J),true,ifeq(n0(B,A),true,q1(J,A,J),true),true) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f161,axiom,
    ! [E,D] : ifeq(q1(d,E,d),true,ifeq(q0(D,E),true,ifeq(s0(d),true,r1(D),true),true),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(f173,axiom,
    ! [B,C,A] : ifeq(p1(B,C,A),true,n2(A),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(f223,axiom,
    ! [D,E,F,C] : ifeq(q2(D,D,D),true,ifeq(r1(D),true,ifeq(k0(D),true,ifeq(m0(E,F,C),true,q2(C,D,C),true),true),true),true) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f227,axiom,
    ifeq(s1(d),true,ifeq(r1(d),true,s2(d),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(f278,axiom,
    ! [H] : ifeq(n2(H),true,p3(H,H,H),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(f291,axiom,
    ! [C,B,D] : ifeq(q3(C,B),true,ifeq(s2(B),true,ifeq(n1(D,B,C),true,q3(B,C),true),true),true) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f310,axiom,
    ! [A,B,J] : ifeq(p3(A,B,J),true,l4(J),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(f361,axiom,
    ! [I,H] : ifeq(r4(I),true,ifeq(l4(H),true,s5(H),true),true) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f363,negated_conjecture,
    s5(c) != 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(f365,plain,
    s0(d) = true,
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f371,plain,
    n0(d,b) = true,
    inference(cnf_transformation,[status(esa)],[f8]) ).

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(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(f408,plain,
    ! [X0,X1] : ifeq(m0(X0,X0,X1),true,m1(X1,X1,X1),true) = true,
    inference(cnf_transformation,[status(esa)],[f45]) ).

fof(f460,plain,
    ! [X0,X1,X2,X3] : ifeq(m0(X0,X1,X1),true,ifeq(m0(X2,X0,X3),true,n1(X3,X3,X2),true),true) = true,
    inference(cnf_transformation,[status(esa)],[f97]) ).

fof(f485,plain,
    ! [X0,X1] : ifeq(p0(X0,X1),true,p1(X1,X1,X1),true) = true,
    inference(cnf_transformation,[status(esa)],[f122]) ).

fof(f492,plain,
    ! [X0,X1,X2,X3] : ifeq(p0(X0,X1),true,ifeq(n0(X2,X3),true,q1(X1,X3,X1),true),true) = true,
    inference(cnf_transformation,[status(esa)],[f129]) ).

fof(f524,plain,
    ! [X0,X1] : ifeq(q1(d,X0,d),true,ifeq(q0(X1,X0),true,ifeq(s0(d),true,r1(X1),true),true),true) = true,
    inference(cnf_transformation,[status(esa)],[f161]) ).

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(f536,plain,
    ! [X0,X1,X2] : ifeq(p1(X0,X1,X2),true,n2(X2),true) = true,
    inference(cnf_transformation,[status(esa)],[f173]) ).

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(f586,plain,
    ! [X0,X1,X2,X3] : ifeq(q2(X0,X0,X0),true,ifeq(r1(X0),true,ifeq(k0(X0),true,ifeq(m0(X1,X2,X3),true,q2(X3,X0,X3),true),true),true),true) = true,
    inference(cnf_transformation,[status(esa)],[f223]) ).

fof(f590,plain,
    ifeq(s1(d),true,ifeq(r1(d),true,s2(d),true),true) = true,
    inference(cnf_transformation,[status(esa)],[f227]) ).

fof(f637,plain,
    ! [X0,X1,X2] : ifeq(p2(X0,X1,X2),true,n3(X2),true) = true,
    inference(cnf_transformation,[status(esa)],[f274]) ).

fof(f641,plain,
    ! [X0] : ifeq(n2(X0),true,p3(X0,X0,X0),true) = true,
    inference(cnf_transformation,[status(esa)],[f278]) ).

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(f654,plain,
    ! [X0,X1,X2] : ifeq(q3(X0,X1),true,ifeq(s2(X1),true,ifeq(n1(X2,X1,X0),true,q3(X1,X0),true),true),true) = true,
    inference(cnf_transformation,[status(esa)],[f291]) ).

fof(f673,plain,
    ! [X0,X1,X2] : ifeq(p3(X0,X1,X2),true,l4(X2),true) = true,
    inference(cnf_transformation,[status(esa)],[f310]) ).

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(f724,plain,
    ! [X0,X1] : ifeq(r4(X0),true,ifeq(l4(X1),true,s5(X1),true),true) = true,
    inference(cnf_transformation,[status(esa)],[f361]) ).

fof(f726,plain,
    s5(c) != true,
    inference(cnf_transformation,[status(esa)],[f363]) ).

fof(f752,plain,
    ifeq(true,true,s1(b),true) = true,
    inference(paramodulation,[status(thm)],[f378,f525]) ).

fof(f753,plain,
    s1(b) = true,
    inference(forward_demodulation,[status(thm)],[f364,f752]) ).

fof(f1045,plain,
    ! [X0] : ifeq(true,true,m1(X0,X0,X0),true) = true,
    inference(paramodulation,[status(thm)],[f383,f408]) ).

fof(f1046,plain,
    ! [X0] : m1(X0,X0,X0) = true,
    inference(forward_demodulation,[status(thm)],[f364,f1045]) ).

fof(f1073,plain,
    ! [X0] : ifeq(true,true,p2(X0,X0,X0),true) = true,
    inference(paramodulation,[status(thm)],[f1046,f575]) ).

fof(f1074,plain,
    ! [X0] : p2(X0,X0,X0) = true,
    inference(forward_demodulation,[status(thm)],[f364,f1073]) ).

fof(f1097,plain,
    ! [X0] : ifeq(true,true,n3(X0),true) = true,
    inference(paramodulation,[status(thm)],[f1074,f637]) ).

fof(f1098,plain,
    ! [X0] : n3(X0) = true,
    inference(forward_demodulation,[status(thm)],[f364,f1097]) ).

fof(f2566,plain,
    ! [X0,X1,X2] : ifeq(true,true,ifeq(m0(X0,X1,X2),true,n1(X2,X2,X0),true),true) = true,
    inference(paramodulation,[status(thm)],[f383,f460]) ).

fof(f2567,plain,
    ! [X0,X1,X2] : ifeq(m0(X0,X1,X2),true,n1(X2,X2,X0),true) = true,
    inference(forward_demodulation,[status(thm)],[f364,f2566]) ).

fof(f3771,plain,
    ! [X0] : ifeq(true,true,p1(X0,X0,X0),true) = true,
    inference(paramodulation,[status(thm)],[f378,f485]) ).

fof(f3772,plain,
    ! [X0] : p1(X0,X0,X0) = true,
    inference(forward_demodulation,[status(thm)],[f364,f3771]) ).

fof(f3861,plain,
    ! [X0] : ifeq(true,true,q2(X0,X0,X0),true) = true,
    inference(backward_demodulation,[status(thm)],[f3772,f580]) ).

fof(f3862,plain,
    ! [X0] : q2(X0,X0,X0) = true,
    inference(forward_demodulation,[status(thm)],[f364,f3861]) ).

fof(f3891,plain,
    ! [X0] : ifeq(true,true,n2(X0),true) = true,
    inference(paramodulation,[status(thm)],[f3772,f536]) ).

fof(f3892,plain,
    ! [X0] : n2(X0) = true,
    inference(forward_demodulation,[status(thm)],[f364,f3891]) ).

fof(f3896,plain,
    ! [X0] : ifeq(true,true,p3(X0,X0,X0),true) = true,
    inference(backward_demodulation,[status(thm)],[f3892,f641]) ).

fof(f3897,plain,
    ! [X0] : p3(X0,X0,X0) = true,
    inference(forward_demodulation,[status(thm)],[f364,f3896]) ).

fof(f3905,plain,
    ! [X0] : ifeq(true,true,l4(X0),true) = true,
    inference(paramodulation,[status(thm)],[f3897,f673]) ).

fof(f3906,plain,
    ! [X0] : l4(X0) = true,
    inference(forward_demodulation,[status(thm)],[f364,f3905]) ).

fof(f3914,plain,
    ! [X0,X1] : ifeq(r4(X0),true,ifeq(true,true,s5(X1),true),true) = true,
    inference(backward_demodulation,[status(thm)],[f3906,f724]) ).

fof(f3915,plain,
    ! [X0,X1] : ifeq(r4(X0),true,s5(X1),true) = true,
    inference(forward_demodulation,[status(thm)],[f364,f3914]) ).

fof(f4156,plain,
    ! [X0,X1,X2] : ifeq(true,true,ifeq(n0(X0,X1),true,q1(X2,X1,X2),true),true) = true,
    inference(paramodulation,[status(thm)],[f378,f492]) ).

fof(f4157,plain,
    ! [X0,X1,X2] : ifeq(n0(X0,X1),true,q1(X2,X1,X2),true) = true,
    inference(forward_demodulation,[status(thm)],[f364,f4156]) ).

fof(f4871,plain,
    ! [X0] : ifeq(true,true,q1(X0,d,X0),true) = true,
    inference(paramodulation,[status(thm)],[f398,f4157]) ).

fof(f4872,plain,
    ! [X0] : q1(X0,d,X0) = true,
    inference(forward_demodulation,[status(thm)],[f364,f4871]) ).

fof(f5782,plain,
    ! [X0,X1] : ifeq(q1(d,X0,d),true,ifeq(q0(X1,X0),true,ifeq(true,true,r1(X1),true),true),true) = true,
    inference(forward_demodulation,[status(thm)],[f365,f524]) ).

fof(f5783,plain,
    ! [X0,X1] : ifeq(q1(d,X0,d),true,ifeq(q0(X1,X0),true,r1(X1),true),true) = true,
    inference(forward_demodulation,[status(thm)],[f364,f5782]) ).

fof(f5788,plain,
    ! [X0] : ifeq(true,true,ifeq(q0(X0,d),true,r1(X0),true),true) = true,
    inference(paramodulation,[status(thm)],[f4872,f5783]) ).

fof(f5789,plain,
    ! [X0] : ifeq(q0(X0,d),true,r1(X0),true) = true,
    inference(forward_demodulation,[status(thm)],[f364,f5788]) ).

fof(f5790,plain,
    ! [X0] : ifeq(true,true,r1(X0),true) = true,
    inference(forward_demodulation,[status(thm)],[f381,f5789]) ).

fof(f5791,plain,
    ! [X0] : r1(X0) = true,
    inference(forward_demodulation,[status(thm)],[f364,f5790]) ).

fof(f5842,plain,
    ! [X0,X1] : ifeq(s1(X0),true,ifeq(true,true,s1(X1),true),true) = true,
    inference(paramodulation,[status(thm)],[f381,f526]) ).

fof(f5843,plain,
    ! [X0,X1] : ifeq(s1(X0),true,s1(X1),true) = true,
    inference(forward_demodulation,[status(thm)],[f364,f5842]) ).

fof(f5925,plain,
    ifeq(s1(d),true,ifeq(true,true,s2(d),true),true) = true,
    inference(backward_demodulation,[status(thm)],[f5791,f590]) ).

fof(f5926,plain,
    ifeq(s1(d),true,s2(d),true) = true,
    inference(forward_demodulation,[status(thm)],[f364,f5925]) ).

fof(f5954,plain,
    ! [X0] : ifeq(true,true,s1(X0),true) = true,
    inference(paramodulation,[status(thm)],[f753,f5843]) ).

fof(f5955,plain,
    ! [X0] : s1(X0) = true,
    inference(forward_demodulation,[status(thm)],[f364,f5954]) ).

fof(f6141,plain,
    ifeq(true,true,s2(d),true) = true,
    inference(forward_demodulation,[status(thm)],[f5955,f5926]) ).

fof(f6142,plain,
    s2(d) = true,
    inference(forward_demodulation,[status(thm)],[f364,f6141]) ).

fof(f7057,plain,
    ! [X0,X1] : ifeq(true,true,n1(X0,X0,X1),true) = true,
    inference(paramodulation,[status(thm)],[f383,f2567]) ).

fof(f7058,plain,
    ! [X0,X1] : n1(X0,X0,X1) = true,
    inference(forward_demodulation,[status(thm)],[f364,f7057]) ).

fof(f7930,plain,
    ! [X0,X1,X2,X3] : ifeq(true,true,ifeq(r1(X0),true,ifeq(k0(X0),true,ifeq(m0(X1,X2,X3),true,q2(X3,X0,X3),true),true),true),true) = true,
    inference(forward_demodulation,[status(thm)],[f3862,f586]) ).

fof(f7931,plain,
    ! [X0,X1,X2,X3] : ifeq(r1(X0),true,ifeq(k0(X0),true,ifeq(m0(X1,X2,X3),true,q2(X3,X0,X3),true),true),true) = true,
    inference(forward_demodulation,[status(thm)],[f364,f7930]) ).

fof(f7932,plain,
    ! [X0,X1,X2,X3] : ifeq(true,true,ifeq(k0(X0),true,ifeq(m0(X1,X2,X3),true,q2(X3,X0,X3),true),true),true) = true,
    inference(forward_demodulation,[status(thm)],[f5791,f7931]) ).

fof(f7933,plain,
    ! [X0,X1,X2,X3] : ifeq(k0(X0),true,ifeq(m0(X1,X2,X3),true,q2(X3,X0,X3),true),true) = true,
    inference(forward_demodulation,[status(thm)],[f364,f7932]) ).

fof(f7952,plain,
    ! [X0,X1] : ifeq(k0(X0),true,ifeq(true,true,q2(X1,X0,X1),true),true) = true,
    inference(paramodulation,[status(thm)],[f383,f7933]) ).

fof(f7953,plain,
    ! [X0,X1] : ifeq(k0(X0),true,q2(X1,X0,X1),true) = true,
    inference(forward_demodulation,[status(thm)],[f364,f7952]) ).

fof(f7967,plain,
    ! [X0] : ifeq(true,true,q2(X0,b,X0),true) = true,
    inference(paramodulation,[status(thm)],[f396,f7953]) ).

fof(f7968,plain,
    ! [X0] : q2(X0,b,X0) = true,
    inference(forward_demodulation,[status(thm)],[f364,f7967]) ).

fof(f10162,plain,
    ! [X0] : ifeq(true,true,ifeq(n0(X0,b),true,q3(b,X0),true),true) = true,
    inference(paramodulation,[status(thm)],[f7968,f652]) ).

fof(f10163,plain,
    ! [X0] : ifeq(n0(X0,b),true,q3(b,X0),true) = true,
    inference(forward_demodulation,[status(thm)],[f364,f10162]) ).

fof(f10252,plain,
    ! [X0,X1] : ifeq(q3(X0,X1),true,ifeq(s2(X1),true,ifeq(true,true,q3(X1,X0),true),true),true) = true,
    inference(paramodulation,[status(thm)],[f7058,f654]) ).

fof(f10253,plain,
    ! [X0,X1] : ifeq(q3(X0,X1),true,ifeq(s2(X1),true,q3(X1,X0),true),true) = true,
    inference(forward_demodulation,[status(thm)],[f364,f10252]) ).

fof(f10486,plain,
    ! [X0] : ifeq(q3(X0,d),true,ifeq(true,true,q3(d,X0),true),true) = true,
    inference(paramodulation,[status(thm)],[f6142,f10253]) ).

fof(f10487,plain,
    ! [X0] : ifeq(q3(X0,d),true,q3(d,X0),true) = true,
    inference(forward_demodulation,[status(thm)],[f364,f10486]) ).

fof(f11114,plain,
    ifeq(true,true,q3(b,d),true) = true,
    inference(paramodulation,[status(thm)],[f371,f10163]) ).

fof(f11115,plain,
    q3(b,d) = true,
    inference(forward_demodulation,[status(thm)],[f364,f11114]) ).

fof(f11122,plain,
    ifeq(true,true,q3(d,b),true) = true,
    inference(paramodulation,[status(thm)],[f11115,f10487]) ).

fof(f11123,plain,
    q3(d,b) = true,
    inference(forward_demodulation,[status(thm)],[f364,f11122]) ).

fof(f12141,plain,
    ! [X0,X1,X2,X3] : ifeq(q3(X0,X1),true,ifeq(true,true,ifeq(p0(X2,X3),true,r4(X3),true),true),true) = true,
    inference(forward_demodulation,[status(thm)],[f1098,f693]) ).

fof(f12142,plain,
    ! [X0,X1,X2,X3] : ifeq(q3(X0,X1),true,ifeq(p0(X2,X3),true,r4(X3),true),true) = true,
    inference(forward_demodulation,[status(thm)],[f364,f12141]) ).

fof(f12143,plain,
    ! [X0,X1] : ifeq(true,true,ifeq(p0(X0,X1),true,r4(X1),true),true) = true,
    inference(paramodulation,[status(thm)],[f11123,f12142]) ).

fof(f12144,plain,
    ! [X0,X1] : ifeq(p0(X0,X1),true,r4(X1),true) = true,
    inference(forward_demodulation,[status(thm)],[f364,f12143]) ).

fof(f12238,plain,
    ! [X0] : ifeq(true,true,r4(X0),true) = true,
    inference(paramodulation,[status(thm)],[f378,f12144]) ).

fof(f12239,plain,
    ! [X0] : r4(X0) = true,
    inference(forward_demodulation,[status(thm)],[f364,f12238]) ).

fof(f12242,plain,
    ! [X0] : ifeq(true,true,s5(X0),true) = true,
    inference(backward_demodulation,[status(thm)],[f12239,f3915]) ).

fof(f12243,plain,
    ! [X0] : s5(X0) = true,
    inference(forward_demodulation,[status(thm)],[f364,f12242]) ).

fof(f12244,plain,
    true != true,
    inference(backward_demodulation,[status(thm)],[f12243,f726]) ).

fof(f12245,plain,
    $false,
    inference(trivial_equality_resolution,[status(esa)],[f12244]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SYN214-10 : TPTP v8.1.2. Released v7.5.0.
% 0.10/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n003.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 22:05:48 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.13/0.36  % Drodi V3.6.0
% 0.20/0.57  % Refutation found
% 0.20/0.57  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.57  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.77/0.60  % Elapsed time: 0.253199 seconds
% 1.77/0.60  % CPU time: 1.784364 seconds
% 1.77/0.60  % Total memory used: 78.421 MB
% 1.77/0.60  % Net memory used: 74.942 MB
%------------------------------------------------------------------------------