TSTP Solution File: SYN214-10 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% 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 : n031.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 12:46:15 EDT 2023

% Result   : Unsatisfiable 1.66s 0.60s
% Output   : CNFRefutation 1.96s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   31
% Syntax   : Number of formulae    :  131 ( 131 unt;   0 def)
%            Number of atoms       :  131 ( 130 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;   5 con; 0-4 aty)
%            Number of variables   :  178 (; 178   !;   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(f6,axiom,
    s0(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(f25,axiom,
    l0(c) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f31,axiom,
    n0(e,e) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f32,axiom,
    m0(b,b,e) = 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(f50,axiom,
    ! [J,A] : ifeq(k0(J),true,ifeq(n0(A,A),true,m1(J,J,A),true),true) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f55,axiom,
    ! [J,A,I,H] : ifeq(m1(J,A,I),true,ifeq(m1(J,I,H),true,m1(H,I,I),true),true) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f68,axiom,
    ! [H,I] : ifeq(p0(H,I),true,ifeq(s0(H),true,m1(H,I,H),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(f170,axiom,
    ! [I,H,G] : ifeq(m1(I,H,H),true,ifeq(p0(H,G),true,ifeq(m0(H,G,I),true,l2(G,G),true),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(f186,axiom,
    ! [G,F] : ifeq(m1(G,G,F),true,p2(F,F,F),true) = true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f224,axiom,
    ! [G] : ifeq(r1(G),true,ifeq(l0(G),true,r2(G),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(f292,axiom,
    ! [I,A,J] : ifeq(r2(I),true,ifeq(l2(A,A),true,ifeq(s1(J),true,q3(I,I),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(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(f388,plain,
    l0(c) = true,
    inference(cnf_transformation,[status(esa)],[f25]) ).

fof(f394,plain,
    n0(e,e) = true,
    inference(cnf_transformation,[status(esa)],[f31]) ).

fof(f395,plain,
    m0(b,b,e) = true,
    inference(cnf_transformation,[status(esa)],[f32]) ).

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(f413,plain,
    ! [X0,X1] : ifeq(k0(X0),true,ifeq(n0(X1,X1),true,m1(X0,X0,X1),true),true) = true,
    inference(cnf_transformation,[status(esa)],[f50]) ).

fof(f418,plain,
    ! [X0,X1,X2,X3] : ifeq(m1(X0,X1,X2),true,ifeq(m1(X0,X2,X3),true,m1(X3,X2,X2),true),true) = true,
    inference(cnf_transformation,[status(esa)],[f55]) ).

fof(f431,plain,
    ! [X0,X1] : ifeq(p0(X0,X1),true,ifeq(s0(X0),true,m1(X0,X1,X0),true),true) = true,
    inference(cnf_transformation,[status(esa)],[f68]) ).

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(f533,plain,
    ! [X0,X1,X2] : ifeq(m1(X0,X1,X1),true,ifeq(p0(X1,X2),true,ifeq(m0(X1,X2,X0),true,l2(X2,X2),true),true),true) = true,
    inference(cnf_transformation,[status(esa)],[f170]) ).

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

fof(f549,plain,
    ! [X0,X1] : ifeq(m1(X0,X0,X1),true,p2(X1,X1,X1),true) = true,
    inference(cnf_transformation,[status(esa)],[f186]) ).

fof(f587,plain,
    ! [X0] : ifeq(r1(X0),true,ifeq(l0(X0),true,r2(X0),true),true) = true,
    inference(cnf_transformation,[status(esa)],[f224]) ).

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(f655,plain,
    ! [X0,X1,X2] : ifeq(r2(X0),true,ifeq(l2(X1,X1),true,ifeq(s1(X2),true,q3(X0,X0),true),true),true) = true,
    inference(cnf_transformation,[status(esa)],[f292]) ).

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(f789,plain,
    ifeq(true,true,s1(b),true) = true,
    inference(paramodulation,[status(thm)],[f378,f525]) ).

fof(f790,plain,
    s1(b) = true,
    inference(paramodulation,[status(thm)],[f364,f789]) ).

fof(f812,plain,
    ! [X0] : ifeq(true,true,m1(X0,X0,X0),true) = true,
    inference(paramodulation,[status(thm)],[f383,f408]) ).

fof(f827,plain,
    ! [X0] : m1(X0,X0,X0) = true,
    inference(paramodulation,[status(thm)],[f364,f812]) ).

fof(f882,plain,
    ! [X0] : ifeq(k0(X0),true,ifeq(true,true,m1(X0,X0,e),true),true) = true,
    inference(paramodulation,[status(thm)],[f394,f413]) ).

fof(f883,plain,
    ! [X0] : ifeq(k0(X0),true,m1(X0,X0,e),true) = true,
    inference(forward_demodulation,[status(thm)],[f364,f882]) ).

fof(f1080,plain,
    ! [X0] : ifeq(true,true,p1(X0,X0,X0),true) = true,
    inference(paramodulation,[status(thm)],[f378,f485]) ).

fof(f1082,plain,
    ! [X0] : p1(X0,X0,X0) = true,
    inference(paramodulation,[status(thm)],[f364,f1080]) ).

fof(f1092,plain,
    ! [X0] : ifeq(true,true,n2(X0),true) = true,
    inference(paramodulation,[status(thm)],[f1082,f536]) ).

fof(f1093,plain,
    ! [X0] : n2(X0) = true,
    inference(paramodulation,[status(thm)],[f364,f1092]) ).

fof(f1097,plain,
    ! [X0] : ifeq(true,true,p3(X0,X0,X0),true) = true,
    inference(backward_demodulation,[status(thm)],[f1093,f641]) ).

fof(f1134,plain,
    ! [X0] : p3(X0,X0,X0) = true,
    inference(paramodulation,[status(thm)],[f364,f1097]) ).

fof(f1138,plain,
    ! [X0] : ifeq(true,true,l4(X0),true) = true,
    inference(paramodulation,[status(thm)],[f1134,f673]) ).

fof(f1139,plain,
    ! [X0] : l4(X0) = true,
    inference(paramodulation,[status(thm)],[f364,f1138]) ).

fof(f1144,plain,
    ! [X0,X1] : ifeq(r4(X0),true,ifeq(true,true,s5(X1),true),true) = true,
    inference(backward_demodulation,[status(thm)],[f1139,f724]) ).

fof(f1145,plain,
    ! [X0,X1] : ifeq(r4(X0),true,s5(X1),true) = true,
    inference(forward_demodulation,[status(thm)],[f364,f1144]) ).

fof(f1188,plain,
    ! [X0] : ifeq(true,true,ifeq(s0(b),true,m1(b,X0,b),true),true) = true,
    inference(paramodulation,[status(thm)],[f378,f431]) ).

fof(f1189,plain,
    ! [X0] : ifeq(true,true,ifeq(true,true,m1(b,X0,b),true),true) = true,
    inference(forward_demodulation,[status(thm)],[f369,f1188]) ).

fof(f1190,plain,
    ! [X0] : ifeq(true,true,m1(b,X0,b),true) = true,
    inference(forward_demodulation,[status(thm)],[f364,f1189]) ).

fof(f1223,plain,
    ifeq(true,true,m1(b,b,e),true) = true,
    inference(paramodulation,[status(thm)],[f396,f883]) ).

fof(f1248,plain,
    ! [X0] : m1(b,X0,b) = true,
    inference(paramodulation,[status(thm)],[f364,f1190]) ).

fof(f1338,plain,
    ! [X0] : ifeq(true,true,p2(X0,X0,X0),true) = true,
    inference(paramodulation,[status(thm)],[f827,f549]) ).

fof(f1339,plain,
    ! [X0] : p2(X0,X0,X0) = true,
    inference(paramodulation,[status(thm)],[f364,f1338]) ).

fof(f1375,plain,
    ! [X0] : ifeq(true,true,n3(X0),true) = true,
    inference(paramodulation,[status(thm)],[f1339,f637]) ).

fof(f1381,plain,
    ! [X0] : n3(X0) = true,
    inference(paramodulation,[status(thm)],[f364,f1375]) ).

fof(f2368,plain,
    m1(b,b,e) = true,
    inference(paramodulation,[status(thm)],[f364,f1223]) ).

fof(f2375,plain,
    ! [X0] : ifeq(m1(b,X0,b),true,ifeq(true,true,m1(e,b,b),true),true) = true,
    inference(paramodulation,[status(thm)],[f2368,f418]) ).

fof(f2376,plain,
    ifeq(true,true,ifeq(true,true,m1(e,b,b),true),true) = true,
    inference(forward_demodulation,[status(thm)],[f1248,f2375]) ).

fof(f2377,plain,
    ifeq(true,true,m1(e,b,b),true) = true,
    inference(forward_demodulation,[status(thm)],[f364,f2376]) ).

fof(f2688,plain,
    m1(e,b,b) = true,
    inference(paramodulation,[status(thm)],[f364,f2377]) ).

fof(f2947,plain,
    ! [X0,X1] : ifeq(p0(X0,X1),true,ifeq(true,true,q1(X1,d,X1),true),true) = true,
    inference(paramodulation,[status(thm)],[f398,f492]) ).

fof(f2948,plain,
    ! [X0,X1] : ifeq(p0(X0,X1),true,q1(X1,d,X1),true) = true,
    inference(forward_demodulation,[status(thm)],[f364,f2947]) ).

fof(f3105,plain,
    ! [X0] : ifeq(true,true,q1(X0,d,X0),true) = true,
    inference(paramodulation,[status(thm)],[f378,f2948]) ).

fof(f3107,plain,
    ! [X0] : q1(X0,d,X0) = true,
    inference(paramodulation,[status(thm)],[f364,f3105]) ).

fof(f3890,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(f3891,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,f3890]) ).

fof(f3894,plain,
    ! [X0] : ifeq(true,true,ifeq(q0(X0,d),true,r1(X0),true),true) = true,
    inference(paramodulation,[status(thm)],[f3107,f3891]) ).

fof(f3895,plain,
    ! [X0] : ifeq(true,true,ifeq(true,true,r1(X0),true),true) = true,
    inference(forward_demodulation,[status(thm)],[f381,f3894]) ).

fof(f3896,plain,
    ! [X0] : ifeq(true,true,r1(X0),true) = true,
    inference(forward_demodulation,[status(thm)],[f364,f3895]) ).

fof(f3936,plain,
    ! [X0,X1] : ifeq(s1(X0),true,ifeq(true,true,s1(X1),true),true) = true,
    inference(paramodulation,[status(thm)],[f381,f526]) ).

fof(f3937,plain,
    ! [X0,X1] : ifeq(s1(X0),true,s1(X1),true) = true,
    inference(forward_demodulation,[status(thm)],[f364,f3936]) ).

fof(f4012,plain,
    ! [X0] : r1(X0) = true,
    inference(paramodulation,[status(thm)],[f364,f3896]) ).

fof(f4038,plain,
    ! [X0] : ifeq(true,true,s1(X0),true) = true,
    inference(paramodulation,[status(thm)],[f790,f3937]) ).

fof(f4040,plain,
    ! [X0] : s1(X0) = true,
    inference(paramodulation,[status(thm)],[f364,f4038]) ).

fof(f4111,plain,
    ifeq(m1(e,b,b),true,ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true),true) = true,
    inference(paramodulation,[status(thm)],[f395,f533]) ).

fof(f4112,plain,
    ifeq(true,true,ifeq(p0(b,b),true,ifeq(true,true,l2(b,b),true),true),true) = true,
    inference(forward_demodulation,[status(thm)],[f2688,f4111]) ).

fof(f4113,plain,
    ifeq(true,true,ifeq(true,true,ifeq(true,true,l2(b,b),true),true),true) = true,
    inference(forward_demodulation,[status(thm)],[f378,f4112]) ).

fof(f4114,plain,
    ifeq(true,true,ifeq(true,true,l2(b,b),true),true) = true,
    inference(forward_demodulation,[status(thm)],[f364,f4113]) ).

fof(f4115,plain,
    ifeq(true,true,l2(b,b),true) = true,
    inference(forward_demodulation,[status(thm)],[f364,f4114]) ).

fof(f4165,plain,
    l2(b,b) = true,
    inference(paramodulation,[status(thm)],[f364,f4115]) ).

fof(f5662,plain,
    ! [X0] : ifeq(true,true,ifeq(l0(X0),true,r2(X0),true),true) = true,
    inference(forward_demodulation,[status(thm)],[f4012,f587]) ).

fof(f5664,plain,
    ifeq(true,true,ifeq(true,true,r2(c),true),true) = true,
    inference(paramodulation,[status(thm)],[f388,f5662]) ).

fof(f5665,plain,
    ifeq(true,true,r2(c),true) = true,
    inference(forward_demodulation,[status(thm)],[f364,f5664]) ).

fof(f5686,plain,
    r2(c) = true,
    inference(paramodulation,[status(thm)],[f364,f5665]) ).

fof(f7210,plain,
    ! [X0,X1] : ifeq(r2(X0),true,ifeq(l2(X1,X1),true,ifeq(true,true,q3(X0,X0),true),true),true) = true,
    inference(forward_demodulation,[status(thm)],[f4040,f655]) ).

fof(f7211,plain,
    ! [X0,X1] : ifeq(r2(X0),true,ifeq(l2(X1,X1),true,q3(X0,X0),true),true) = true,
    inference(forward_demodulation,[status(thm)],[f364,f7210]) ).

fof(f7214,plain,
    ! [X0] : ifeq(r2(X0),true,ifeq(true,true,q3(X0,X0),true),true) = true,
    inference(paramodulation,[status(thm)],[f4165,f7211]) ).

fof(f7215,plain,
    ! [X0] : ifeq(r2(X0),true,q3(X0,X0),true) = true,
    inference(forward_demodulation,[status(thm)],[f364,f7214]) ).

fof(f7228,plain,
    ifeq(true,true,q3(c,c),true) = true,
    inference(paramodulation,[status(thm)],[f5686,f7215]) ).

fof(f7339,plain,
    q3(c,c) = true,
    inference(paramodulation,[status(thm)],[f364,f7228]) ).

fof(f8116,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)],[f1381,f693]) ).

fof(f8117,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,f8116]) ).

fof(f8126,plain,
    ! [X0,X1,X2] : ifeq(q3(X0,X1),true,ifeq(true,true,r4(X2),true),true) = true,
    inference(paramodulation,[status(thm)],[f378,f8117]) ).

fof(f8127,plain,
    ! [X0,X1,X2] : ifeq(q3(X0,X1),true,r4(X2),true) = true,
    inference(forward_demodulation,[status(thm)],[f364,f8126]) ).

fof(f8154,plain,
    ! [X0] : ifeq(true,true,r4(X0),true) = true,
    inference(paramodulation,[status(thm)],[f7339,f8127]) ).

fof(f8160,plain,
    ! [X0] : r4(X0) = true,
    inference(paramodulation,[status(thm)],[f364,f8154]) ).

fof(f8167,plain,
    ! [X0] : ifeq(true,true,s5(X0),true) = true,
    inference(backward_demodulation,[status(thm)],[f8160,f1145]) ).

fof(f8168,plain,
    ! [X0] : s5(X0) = true,
    inference(paramodulation,[status(thm)],[f364,f8167]) ).

fof(f8170,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f726,f8168]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN214-10 : TPTP v8.1.2. Released v7.5.0.
% 0.11/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n031.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 : Tue May 30 10:51:07 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.36  % Drodi V3.5.1
% 1.66/0.60  % Refutation found
% 1.66/0.60  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.66/0.60  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.96/0.62  % Elapsed time: 0.277254 seconds
% 1.96/0.62  % CPU time: 1.996307 seconds
% 1.96/0.62  % Memory used: 57.653 MB
%------------------------------------------------------------------------------