%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN563-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n010.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 03:16:48 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.56s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 13
% Syntax : Number of formulae : 47 ( 47 unt; 0 def)
% Number of atoms : 47 ( 46 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 : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-4 aty)
% Number of variables : 54 ( 54 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : ifeq2(A,A,B,C) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B,C] : ifeq(A,A,B,C) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [X0] : p2(X0,X0) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [X22] : p6(X22,X22) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
p2(f4(c7),f4(c8)) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
! [X16] : p5(f3(f3(X16)),f3(f4(X16))) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
! [X27] : ifeq2(p6(c7,X27),true,p6(c7,f3(X27)),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
! [X10,X11] : ifeq2(p5(X10,X11),true,p6(f4(X10),X11),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
! [X3,X4] : ifeq2(p2(X3,X4),true,p2(f3(X3),f3(X4)),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
! [X7,X9,X8] : ifeq2(p6(X7,X9),true,ifeq2(p5(X9,X8),true,p5(X7,X8),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
! [X25,X24,X26,X23] : ifeq2(p2(X25,X24),true,ifeq2(p2(X26,X23),true,ifeq2(p6(X26,X25),true,p6(X23,X24),true),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
ifeq(p6(f4(c7),f3(f4(c8))),true,a,b) = b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
a != b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,plain,
! [X0,X1,X2] : ifeq2(X0,X0,X1,X2) = X1,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f22,plain,
! [X0,X1,X2] : ifeq(X0,X0,X1,X2) = X1,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f23,plain,
! [X0] : p2(X0,X0) = true,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f24,plain,
! [X0] : p6(X0,X0) = true,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f25,plain,
p2(f4(c7),f4(c8)) = true,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f27,plain,
! [X0] : p5(f3(f3(X0)),f3(f4(X0))) = true,
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f29,plain,
! [X0] : ifeq2(p6(c7,X0),true,p6(c7,f3(X0)),true) = true,
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f30,plain,
! [X0,X1] : ifeq2(p5(X0,X1),true,p6(f4(X0),X1),true) = true,
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f31,plain,
! [X0,X1] : ifeq2(p2(X0,X1),true,p2(f3(X0),f3(X1)),true) = true,
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f35,plain,
! [X0,X1,X2] : ifeq2(p6(X0,X1),true,ifeq2(p5(X1,X2),true,p5(X0,X2),true),true) = true,
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f36,plain,
! [X0,X1,X2,X3] : ifeq2(p2(X0,X1),true,ifeq2(p2(X2,X3),true,ifeq2(p6(X2,X0),true,p6(X3,X1),true),true),true) = true,
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f39,plain,
ifeq(p6(f4(c7),f3(f4(c8))),true,a,b) = b,
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f40,plain,
a != b,
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f49,plain,
true = ifeq2(true,true,p6(c7,f3(c7)),true),
inference(paramodulation,[status(thm)],[f24,f29]) ).
fof(f50,plain,
true = p6(c7,f3(c7)),
inference(forward_demodulation,[status(thm)],[f21,f49]) ).
fof(f66,plain,
true = ifeq2(true,true,p6(c7,f3(f3(c7))),true),
inference(paramodulation,[status(thm)],[f50,f29]) ).
fof(f69,plain,
true = p6(c7,f3(f3(c7))),
inference(forward_demodulation,[status(thm)],[f21,f66]) ).
fof(f111,plain,
true = ifeq2(true,true,p2(f3(f4(c7)),f3(f4(c8))),true),
inference(paramodulation,[status(thm)],[f25,f31]) ).
fof(f114,plain,
true = p2(f3(f4(c7)),f3(f4(c8))),
inference(forward_demodulation,[status(thm)],[f21,f111]) ).
fof(f259,plain,
! [X0,X1] : true = ifeq2(p6(X0,f3(f3(X1))),true,ifeq2(true,true,p5(X0,f3(f4(X1))),true),true),
inference(paramodulation,[status(thm)],[f27,f35]) ).
fof(f283,plain,
! [X0,X1] : true = ifeq2(p6(X0,f3(f3(X1))),true,p5(X0,f3(f4(X1))),true),
inference(forward_demodulation,[status(thm)],[f21,f259]) ).
fof(f378,plain,
! [X0,X1,X2] : true = ifeq2(p2(X0,X1),true,ifeq2(true,true,ifeq2(p6(X2,X0),true,p6(X2,X1),true),true),true),
inference(paramodulation,[status(thm)],[f23,f36]) ).
fof(f421,plain,
! [X0,X1,X2] : true = ifeq2(p2(X0,X1),true,ifeq2(p6(X2,X0),true,p6(X2,X1),true),true),
inference(forward_demodulation,[status(thm)],[f21,f378]) ).
fof(f1049,plain,
true = ifeq2(true,true,p5(c7,f3(f4(c7))),true),
inference(paramodulation,[status(thm)],[f69,f283]) ).
fof(f1058,plain,
true = p5(c7,f3(f4(c7))),
inference(forward_demodulation,[status(thm)],[f21,f1049]) ).
fof(f1071,plain,
true = ifeq2(true,true,p6(f4(c7),f3(f4(c7))),true),
inference(paramodulation,[status(thm)],[f1058,f30]) ).
fof(f1081,plain,
true = p6(f4(c7),f3(f4(c7))),
inference(forward_demodulation,[status(thm)],[f21,f1071]) ).
fof(f1271,plain,
! [X0] : true = ifeq2(true,true,ifeq2(p6(X0,f3(f4(c7))),true,p6(X0,f3(f4(c8))),true),true),
inference(paramodulation,[status(thm)],[f114,f421]) ).
fof(f1322,plain,
! [X0] : true = ifeq2(p6(X0,f3(f4(c7))),true,p6(X0,f3(f4(c8))),true),
inference(forward_demodulation,[status(thm)],[f21,f1271]) ).
fof(f9954,plain,
true = ifeq2(true,true,p6(f4(c7),f3(f4(c8))),true),
inference(paramodulation,[status(thm)],[f1081,f1322]) ).
fof(f9975,plain,
true = p6(f4(c7),f3(f4(c8))),
inference(forward_demodulation,[status(thm)],[f21,f9954]) ).
fof(f10029,plain,
ifeq(true,true,a,b) = b,
inference(backward_demodulation,[status(thm)],[f9975,f39]) ).
fof(f10074,plain,
a = b,
inference(forward_demodulation,[status(thm)],[f22,f10029]) ).
fof(f10075,plain,
$false,
inference(resolution,[status(thm)],[f10074,f40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN563-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n010.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 11:08:56 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.56 % Refutation found
% 0.10/0.56 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.56 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.65/0.60 % Elapsed time: 0.207703 seconds
% 0.65/0.60 % CPU time: 1.440710 seconds
% 0.65/0.60 % Total memory used: 68.393 MB
% 0.65/0.60 % Net memory used: 67.927 MB
%------------------------------------------------------------------------------