%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN170-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.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 03:15:23 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.39s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 23 ( 23 unt; 0 def)
% Number of atoms : 23 ( 22 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-4 aty)
% Number of variables : 26 ( 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : ifeq(A,A,B,C) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,axiom,
n0(d,c) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f104,axiom,
! [H,G] : ifeq(n0(H,G),true,p1(G,G,G),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(f278,axiom,
! [H] : ifeq(n2(H),true,p3(H,H,H),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f323,axiom,
! [J,I] : ifeq(p3(J,J,I),true,p4(I,I,I),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f363,negated_conjecture,
! [X,Y] : p4(X,c,Y) != 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(f390,plain,
n0(d,c) = true,
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f467,plain,
! [X0,X1] : ifeq(n0(X0,X1),true,p1(X1,X1,X1),true) = true,
inference(cnf_transformation,[status(thm)],[f104]) ).
fof(f536,plain,
! [X0,X1,X2] : ifeq(p1(X0,X1,X2),true,n2(X2),true) = true,
inference(cnf_transformation,[status(thm)],[f173]) ).
fof(f641,plain,
! [X0] : ifeq(n2(X0),true,p3(X0,X0,X0),true) = true,
inference(cnf_transformation,[status(thm)],[f278]) ).
fof(f686,plain,
! [X0,X1] : ifeq(p3(X0,X0,X1),true,p4(X1,X1,X1),true) = true,
inference(cnf_transformation,[status(thm)],[f323]) ).
fof(f726,plain,
! [X0,X1] : p4(X0,c,X1) != true,
inference(cnf_transformation,[status(thm)],[f363]) ).
fof(f1413,plain,
true = ifeq(true,true,p1(c,c,c),true),
inference(paramodulation,[status(thm)],[f390,f467]) ).
fof(f1423,plain,
true = p1(c,c,c),
inference(forward_demodulation,[status(thm)],[f364,f1413]) ).
fof(f1456,plain,
true = ifeq(true,true,n2(c),true),
inference(paramodulation,[status(thm)],[f1423,f536]) ).
fof(f1458,plain,
true = n2(c),
inference(forward_demodulation,[status(thm)],[f364,f1456]) ).
fof(f1459,plain,
true = ifeq(true,true,p3(c,c,c),true),
inference(paramodulation,[status(thm)],[f1458,f641]) ).
fof(f1463,plain,
true = p3(c,c,c),
inference(forward_demodulation,[status(thm)],[f364,f1459]) ).
fof(f1555,plain,
true = ifeq(true,true,p4(c,c,c),true),
inference(paramodulation,[status(thm)],[f1463,f686]) ).
fof(f1558,plain,
true = p4(c,c,c),
inference(forward_demodulation,[status(thm)],[f364,f1555]) ).
fof(f1559,plain,
$false,
inference(resolution,[status(thm)],[f1558,f726]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN170-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n008.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 10:45:54 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.14/0.37 % Drodi V4.1.1
% 0.14/0.39 % Refutation found
% 0.14/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.43 % Elapsed time: 0.062814 seconds
% 0.14/0.43 % CPU time: 0.140440 seconds
% 0.14/0.43 % Total memory used: 11.042 MB
% 0.14/0.43 % Net memory used: 10.943 MB
%------------------------------------------------------------------------------