%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN116-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:15:15 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.52s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 18
% Syntax : Number of formulae : 68 ( 68 unt; 1 def)
% Number of atoms : 68 ( 67 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 : 22 ( 22 usr; 6 con; 0-4 aty)
% Number of variables : 102 ( 102 !; 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(thm)],[f1]) ).
fof(f377,plain,
r0(e) = true,
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f378,plain,
! [X0] : p0(b,X0) = true,
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f383,plain,
! [X0,X1] : m0(X0,d,X1) = true,
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f390,plain,
n0(d,c) = true,
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f404,plain,
! [X0,X1] : ifeq(n0(X0,X1),true,l1(X1,X1),true) = true,
inference(cnf_transformation,[status(thm)],[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(thm)],[f46]) ).
fof(f485,plain,
! [X0,X1] : ifeq(p0(X0,X1),true,p1(X1,X1,X1),true) = true,
inference(cnf_transformation,[status(thm)],[f122]) ).
fof(f510,plain,
! [X0,X1,X2] : ifeq(m0(X0,X1,X2),true,q1(X2,X2,X2),true) = true,
inference(cnf_transformation,[status(thm)],[f147]) ).
fof(f529,plain,
! [X0,X1] : ifeq(q1(X0,X1,X1),true,k2(X1,X1),true) = true,
inference(cnf_transformation,[status(thm)],[f166]) ).
fof(f575,plain,
! [X0,X1] : ifeq(m1(X0,X1,X0),true,p2(X1,X0,X1),true) = true,
inference(cnf_transformation,[status(thm)],[f212]) ).
fof(f580,plain,
! [X0] : ifeq(p1(X0,X0,X0),true,q2(X0,X0,X0),true) = true,
inference(cnf_transformation,[status(thm)],[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(thm)],[f275]) ).
fof(f664,plain,
! [X0,X1,X2] : ifeq(p2(X0,X1,X2),true,r3(X0,X2,X0),true) = true,
inference(cnf_transformation,[status(thm)],[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(thm)],[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(thm)],[f332]) ).
fof(f726,plain,
k5(b) != true,
inference(cnf_transformation,[status(thm)],[f363]) ).
fof(f727,definition,
sF0_fnc = k5(b),
introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition]) ).
fof(f728,plain,
sF0_fnc != true,
inference(definition_folding,[],[f726,f727]) ).
fof(f729,plain,
! [X0,X1] : ifeq(s4(X0),true,ifeq(r3(X1,b,b),true,sF0_fnc,true),true) = true,
inference(paramodulation,[status(thm)],[f727,f695]) ).
fof(f765,plain,
ifeq(true,true,l1(c,c),true) = true,
inference(paramodulation,[status(thm)],[f390,f404]) ).
fof(f773,plain,
l1(c,c) = true,
inference(forward_demodulation,[status(thm)],[f364,f765]) ).
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(f889,plain,
! [X0,X1] : ifeq(r0(X0),true,m1(X0,X1,X0),true) = true,
inference(forward_demodulation,[status(thm)],[f364,f882]) ).
fof(f1311,plain,
! [X0] : ifeq(true,true,m1(e,X0,e),true) = true,
inference(paramodulation,[status(thm)],[f377,f889]) ).
fof(f1318,plain,
! [X0] : m1(e,X0,e) = true,
inference(forward_demodulation,[status(thm)],[f364,f1311]) ).
fof(f1831,plain,
! [X0] : ifeq(true,true,p1(X0,X0,X0),true) = true,
inference(paramodulation,[status(thm)],[f378,f485]) ).
fof(f1839,plain,
! [X0] : p1(X0,X0,X0) = true,
inference(forward_demodulation,[status(thm)],[f364,f1831]) ).
fof(f3149,plain,
! [X0] : ifeq(true,true,q1(X0,X0,X0),true) = true,
inference(paramodulation,[status(thm)],[f383,f510]) ).
fof(f3162,plain,
! [X0] : q1(X0,X0,X0) = true,
inference(forward_demodulation,[status(thm)],[f364,f3149]) ).
fof(f3178,plain,
! [X0] : ifeq(true,true,k2(X0,X0),true) = true,
inference(paramodulation,[status(thm)],[f3162,f529]) ).
fof(f3180,plain,
! [X0] : k2(X0,X0) = true,
inference(forward_demodulation,[status(thm)],[f364,f3178]) ).
fof(f3329,plain,
! [X0] : ifeq(true,true,p2(X0,e,X0),true) = true,
inference(paramodulation,[status(thm)],[f1318,f575]) ).
fof(f3338,plain,
! [X0] : p2(X0,e,X0) = true,
inference(forward_demodulation,[status(thm)],[f364,f3329]) ).
fof(f3367,plain,
! [X0] : ifeq(true,true,q2(X0,X0,X0),true) = true,
inference(forward_demodulation,[status(thm)],[f1839,f580]) ).
fof(f3373,plain,
! [X0] : q2(X0,X0,X0) = true,
inference(forward_demodulation,[status(thm)],[f364,f3367]) ).
fof(f3428,plain,
! [X0] : ifeq(true,true,r3(X0,X0,X0),true) = true,
inference(paramodulation,[status(thm)],[f3338,f664]) ).
fof(f3436,plain,
! [X0] : r3(X0,X0,X0) = true,
inference(forward_demodulation,[status(thm)],[f364,f3428]) ).
fof(f3442,plain,
! [X0] : ifeq(s4(X0),true,ifeq(true,true,sF0_fnc,true),true) = true,
inference(paramodulation,[status(thm)],[f3436,f729]) ).
fof(f3445,plain,
! [X0] : ifeq(s4(X0),true,sF0_fnc,true) = true,
inference(forward_demodulation,[status(thm)],[f364,f3442]) ).
fof(f8054,plain,
! [X0,X1] : ifeq(true,true,ifeq(k2(X0,X1),true,p3(d,X0,X1),true),true) = true,
inference(paramodulation,[status(thm)],[f3373,f638]) ).
fof(f8059,plain,
! [X0,X1] : ifeq(k2(X0,X1),true,p3(d,X0,X1),true) = true,
inference(forward_demodulation,[status(thm)],[f364,f8054]) ).
fof(f8295,plain,
! [X0] : ifeq(true,true,p3(d,X0,X0),true) = true,
inference(paramodulation,[status(thm)],[f3180,f8059]) ).
fof(f8298,plain,
! [X0] : p3(d,X0,X0) = true,
inference(forward_demodulation,[status(thm)],[f364,f8295]) ).
fof(f10195,plain,
! [X0,X1] : ifeq(true,true,ifeq(l1(X0,X1),true,s4(X0),true),true) = true,
inference(paramodulation,[status(thm)],[f8298,f694]) ).
fof(f10211,plain,
! [X0,X1] : ifeq(l1(X0,X1),true,s4(X0),true) = true,
inference(forward_demodulation,[status(thm)],[f364,f10195]) ).
fof(f10244,plain,
ifeq(true,true,s4(c),true) = true,
inference(paramodulation,[status(thm)],[f773,f10211]) ).
fof(f10250,plain,
s4(c) = true,
inference(forward_demodulation,[status(thm)],[f364,f10244]) ).
fof(f10258,plain,
ifeq(true,true,sF0_fnc,true) = true,
inference(paramodulation,[status(thm)],[f10250,f3445]) ).
fof(f10262,plain,
sF0_fnc = true,
inference(forward_demodulation,[status(thm)],[f364,f10258]) ).
fof(f10263,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f10262,f728]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN116-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.33 % Computer : n001.cluster.edu
% 0.07/0.33 % Model : x86_64 x86_64
% 0.07/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.33 % Memory : 8046.5625MB
% 0.07/0.33 % OS : Linux 6.8.0-71-generic
% 0.07/0.33 % CPULimit : 300
% 0.07/0.33 % WCLimit : 300
% 0.07/0.33 % DateTime : Mon Sep 21 10:49:44 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.07/0.36 % Drodi V4.1.1
% 0.14/0.52 % Refutation found
% 0.14/0.52 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.52 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.56 % Elapsed time: 0.207466 seconds
% 0.14/0.56 % CPU time: 1.400329 seconds
% 0.14/0.56 % Total memory used: 79.416 MB
% 0.14/0.56 % Net memory used: 77.984 MB
%------------------------------------------------------------------------------