%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SYN563-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.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 03:20:09 PM UTC 2026
% Result : Unsatisfiable 1.22s 0.65s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN563-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n007.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 21 11:06:35 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 1.22/0.65 % Refutation found
% 1.22/0.65 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.22/0.65 % SZS output start CNFRefutation for theBenchmark
% 1.22/0.65 fof(f1,axiom,(
% 1.22/0.65 (![A,B,C]: (ifeq2(A,A,B,C) = B ))),
% 1.22/0.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.22/0.65 fof(f2,axiom,(
% 1.22/0.65 (![A,B,C]: (ifeq(A,A,B,C) = B ))),
% 1.22/0.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.22/0.65 fof(f3,negated_conjecture,(
% 1.22/0.65 (![X0]: (p2(X0,X0) = true ))),
% 1.22/0.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.22/0.65 fof(f4,negated_conjecture,(
% 1.22/0.65 (![X22]: (p6(X22,X22) = true ))),
% 1.22/0.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.22/0.65 fof(f5,negated_conjecture,(
% 1.22/0.65 p2(f4(c7),f4(c8)) = true ),
% 1.22/0.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.22/0.65 fof(f7,negated_conjecture,(
% 1.22/0.65 (![X16]: (p5(f3(f3(X16)),f3(f4(X16))) = true ))),
% 1.22/0.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.22/0.65 fof(f9,negated_conjecture,(
% 1.22/0.65 (![X27]: (ifeq2(p6(c7,X27),true,p6(c7,f3(X27)),true) = true ))),
% 1.22/0.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.22/0.65 fof(f10,negated_conjecture,(
% 1.22/0.65 (![X10,X11]: (ifeq2(p5(X10,X11),true,p6(f4(X10),X11),true) = true ))),
% 1.22/0.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.22/0.65 fof(f11,negated_conjecture,(
% 1.22/0.65 (![X3,X4]: (ifeq2(p2(X3,X4),true,p2(f3(X3),f3(X4)),true) = true ))),
% 1.22/0.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.22/0.65 fof(f13,negated_conjecture,(
% 1.22/0.65 (![X0,X2,X1]: (ifeq2(p2(X0,X2),true,ifeq2(p2(X0,X1),true,p2(X1,X2),true),true) = true ))),
% 1.22/0.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.22/0.65 fof(f15,negated_conjecture,(
% 1.22/0.65 (![X7,X9,X8]: (ifeq2(p6(X7,X9),true,ifeq2(p5(X9,X8),true,p5(X7,X8),true),true) = true ))),
% 1.22/0.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.22/0.65 fof(f16,negated_conjecture,(
% 1.22/0.65 (![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 ))),
% 1.22/0.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.22/0.65 fof(f19,negated_conjecture,(
% 1.22/0.65 ifeq(p6(f4(c7),f3(f4(c8))),true,a,b) = b ),
% 1.22/0.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.22/0.65 fof(f20,negated_conjecture,(
% 1.22/0.65 a != b ),
% 1.22/0.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.22/0.65 fof(f21,plain,(
% 1.22/0.65 ![X0,X1,X2]: (ifeq2(X0,X0,X1,X2)=X1)),
% 1.22/0.65 inference(cnf_transformation,[status(thm)],[f1])).
% 1.22/0.65 fof(f22,plain,(
% 1.22/0.65 ![X0,X1,X2]: (ifeq(X0,X0,X1,X2)=X1)),
% 1.22/0.65 inference(cnf_transformation,[status(thm)],[f2])).
% 1.22/0.65 fof(f23,plain,(
% 1.22/0.65 ![X0]: (p2(X0,X0)=true)),
% 1.22/0.65 inference(cnf_transformation,[status(thm)],[f3])).
% 1.22/0.65 fof(f24,plain,(
% 1.22/0.65 ![X0]: (p6(X0,X0)=true)),
% 1.22/0.65 inference(cnf_transformation,[status(thm)],[f4])).
% 1.22/0.65 fof(f25,plain,(
% 1.22/0.65 p2(f4(c7),f4(c8))=true),
% 1.22/0.65 inference(cnf_transformation,[status(thm)],[f5])).
% 1.22/0.65 fof(f27,plain,(
% 1.22/0.65 ![X0]: (p5(f3(f3(X0)),f3(f4(X0)))=true)),
% 1.22/0.65 inference(cnf_transformation,[status(thm)],[f7])).
% 1.22/0.65 fof(f29,plain,(
% 1.22/0.65 ![X0]: (ifeq2(p6(c7,X0),true,p6(c7,f3(X0)),true)=true)),
% 1.22/0.65 inference(cnf_transformation,[status(thm)],[f9])).
% 1.22/0.65 fof(f30,plain,(
% 1.22/0.65 ![X0,X1]: (ifeq2(p5(X0,X1),true,p6(f4(X0),X1),true)=true)),
% 1.22/0.65 inference(cnf_transformation,[status(thm)],[f10])).
% 1.22/0.65 fof(f31,plain,(
% 1.22/0.65 ![X0,X1]: (ifeq2(p2(X0,X1),true,p2(f3(X0),f3(X1)),true)=true)),
% 1.22/0.65 inference(cnf_transformation,[status(thm)],[f11])).
% 1.22/0.65 fof(f33,plain,(
% 1.22/0.65 ![X0,X1,X2]: (ifeq2(p2(X0,X1),true,ifeq2(p2(X0,X2),true,p2(X2,X1),true),true)=true)),
% 1.22/0.65 inference(cnf_transformation,[status(thm)],[f13])).
% 1.22/0.65 fof(f35,plain,(
% 1.22/0.65 ![X0,X1,X2]: (ifeq2(p6(X0,X1),true,ifeq2(p5(X1,X2),true,p5(X0,X2),true),true)=true)),
% 1.22/0.65 inference(cnf_transformation,[status(thm)],[f15])).
% 1.22/0.65 fof(f36,plain,(
% 1.22/0.65 ![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)),
% 1.22/0.65 inference(cnf_transformation,[status(thm)],[f16])).
% 1.22/0.65 fof(f39,plain,(
% 1.22/0.65 ifeq(p6(f4(c7),f3(f4(c8))),true,a,b)=b),
% 1.22/0.65 inference(cnf_transformation,[status(thm)],[f19])).
% 1.22/0.65 fof(f40,plain,(
% 1.22/0.65 ~a=b),
% 1.22/0.65 inference(cnf_transformation,[status(thm)],[f20])).
% 1.22/0.65 fof(f60,plain,(
% 1.22/0.65 ifeq2(true,true,p6(c7,f3(c7)),true)=true),
% 1.22/0.65 inference(paramodulation,[status(thm)],[f24,f29])).
% 1.22/0.65 fof(f62,plain,(
% 1.22/0.65 p6(c7,f3(c7))=true),
% 1.22/0.65 inference(forward_demodulation,[status(thm)],[f21,f60])).
% 1.22/0.69 fof(f74,plain,(
% 1.22/0.69 ifeq2(true,true,p2(f3(f4(c7)),f3(f4(c8))),true)=true),
% 1.22/0.69 inference(paramodulation,[status(thm)],[f25,f31])).
% 1.22/0.69 fof(f77,plain,(
% 1.22/0.69 p2(f3(f4(c7)),f3(f4(c8)))=true),
% 1.22/0.69 inference(forward_demodulation,[status(thm)],[f21,f74])).
% 1.22/0.69 fof(f88,plain,(
% 1.22/0.69 ![X0,X1]: (ifeq2(true,true,ifeq2(p2(X0,X1),true,p2(X1,X0),true),true)=true)),
% 1.22/0.69 inference(paramodulation,[status(thm)],[f23,f33])).
% 1.22/0.69 fof(f96,plain,(
% 1.22/0.69 ![X0,X1]: (ifeq2(p2(X0,X1),true,p2(X1,X0),true)=true)),
% 1.22/0.69 inference(forward_demodulation,[status(thm)],[f21,f88])).
% 1.22/0.69 fof(f111,plain,(
% 1.22/0.69 ifeq2(true,true,p6(c7,f3(f3(c7))),true)=true),
% 1.22/0.69 inference(paramodulation,[status(thm)],[f62,f29])).
% 1.22/0.69 fof(f117,plain,(
% 1.22/0.69 p6(c7,f3(f3(c7)))=true),
% 1.22/0.69 inference(forward_demodulation,[status(thm)],[f21,f111])).
% 1.22/0.69 fof(f123,plain,(
% 1.22/0.69 ![X0,X1]: (ifeq2(p6(X0,f3(f3(X1))),true,ifeq2(true,true,p5(X0,f3(f4(X1))),true),true)=true)),
% 1.22/0.69 inference(paramodulation,[status(thm)],[f27,f35])).
% 1.22/0.69 fof(f132,plain,(
% 1.22/0.69 ![X0,X1]: (ifeq2(p6(X0,f3(f3(X1))),true,p5(X0,f3(f4(X1))),true)=true)),
% 1.22/0.69 inference(forward_demodulation,[status(thm)],[f21,f123])).
% 1.22/0.69 fof(f136,plain,(
% 1.22/0.69 ![X0,X1,X2]: (ifeq2(true,true,ifeq2(p2(X0,X1),true,ifeq2(p6(X0,X2),true,p6(X1,X2),true),true),true)=true)),
% 1.22/0.69 inference(paramodulation,[status(thm)],[f23,f36])).
% 1.22/0.69 fof(f147,plain,(
% 1.22/0.69 ![X0,X1,X2]: (ifeq2(p2(X0,X1),true,ifeq2(p6(X0,X2),true,p6(X1,X2),true),true)=true)),
% 1.22/0.69 inference(forward_demodulation,[status(thm)],[f21,f136])).
% 1.22/0.69 fof(f280,plain,(
% 1.22/0.69 ![X0,X1]: (ifeq2(true,true,ifeq2(p2(X0,X1),true,ifeq2(p6(X0,f3(f4(c7))),true,p6(X1,f3(f4(c8))),true),true),true)=true)),
% 1.22/0.69 inference(paramodulation,[status(thm)],[f77,f36])).
% 1.22/0.69 fof(f290,plain,(
% 1.22/0.69 ![X0,X1]: (ifeq2(p2(X0,X1),true,ifeq2(p6(X0,f3(f4(c7))),true,p6(X1,f3(f4(c8))),true),true)=true)),
% 1.22/0.69 inference(forward_demodulation,[status(thm)],[f21,f280])).
% 1.22/0.69 fof(f338,plain,(
% 1.22/0.69 ifeq2(true,true,p2(f4(c8),f4(c7)),true)=true),
% 1.22/0.69 inference(paramodulation,[status(thm)],[f25,f96])).
% 1.22/0.69 fof(f347,plain,(
% 1.22/0.69 p2(f4(c8),f4(c7))=true),
% 1.22/0.69 inference(forward_demodulation,[status(thm)],[f21,f338])).
% 1.22/0.69 fof(f662,plain,(
% 1.22/0.69 ifeq2(true,true,p5(c7,f3(f4(c7))),true)=true),
% 1.22/0.69 inference(paramodulation,[status(thm)],[f117,f132])).
% 1.22/0.69 fof(f669,plain,(
% 1.22/0.69 p5(c7,f3(f4(c7)))=true),
% 1.22/0.69 inference(forward_demodulation,[status(thm)],[f21,f662])).
% 1.22/0.69 fof(f679,plain,(
% 1.22/0.69 ifeq2(true,true,p6(f4(c7),f3(f4(c7))),true)=true),
% 1.22/0.69 inference(paramodulation,[status(thm)],[f669,f30])).
% 1.22/0.69 fof(f687,plain,(
% 1.22/0.69 p6(f4(c7),f3(f4(c7)))=true),
% 1.22/0.69 inference(forward_demodulation,[status(thm)],[f21,f679])).
% 1.22/0.69 fof(f772,plain,(
% 1.22/0.69 ![X0]: (ifeq2(true,true,ifeq2(p6(f4(c7),X0),true,p6(f4(c8),X0),true),true)=true)),
% 1.22/0.69 inference(paramodulation,[status(thm)],[f25,f147])).
% 1.22/0.69 fof(f805,plain,(
% 1.22/0.69 ![X0]: (ifeq2(p6(f4(c7),X0),true,p6(f4(c8),X0),true)=true)),
% 1.22/0.69 inference(forward_demodulation,[status(thm)],[f21,f772])).
% 1.22/0.69 fof(f2580,plain,(
% 1.22/0.69 ifeq2(true,true,ifeq2(p6(f4(c8),f3(f4(c7))),true,p6(f4(c7),f3(f4(c8))),true),true)=true),
% 1.22/0.69 inference(paramodulation,[status(thm)],[f347,f290])).
% 1.22/0.69 fof(f2599,plain,(
% 1.22/0.69 ifeq2(p6(f4(c8),f3(f4(c7))),true,p6(f4(c7),f3(f4(c8))),true)=true),
% 1.22/0.69 inference(forward_demodulation,[status(thm)],[f21,f2580])).
% 1.22/0.69 fof(f4079,plain,(
% 1.22/0.69 ifeq2(true,true,p6(f4(c8),f3(f4(c7))),true)=true),
% 1.22/0.69 inference(paramodulation,[status(thm)],[f687,f805])).
% 1.22/0.69 fof(f4098,plain,(
% 1.22/0.69 ifeq2(true,true,p6(f4(c7),f3(f4(c8))),true)=true),
% 1.22/0.69 inference(backward_demodulation,[status(thm)],[f4099,f2599])).
% 1.22/0.69 fof(f4099,plain,(
% 1.22/0.69 p6(f4(c8),f3(f4(c7)))=true),
% 1.22/0.69 inference(forward_demodulation,[status(thm)],[f21,f4079])).
% 1.22/0.69 fof(f4112,plain,(
% 1.22/0.69 ifeq(true,true,a,b)=b),
% 1.22/0.69 inference(backward_demodulation,[status(thm)],[f4114,f39])).
% 1.22/0.69 fof(f4114,plain,(
% 1.22/0.69 p6(f4(c7),f3(f4(c8)))=true),
% 1.22/0.69 inference(forward_demodulation,[status(thm)],[f21,f4098])).
% 1.22/0.69 fof(f4115,plain,(
% 1.22/0.69 a=b),
% 1.22/0.69 inference(forward_demodulation,[status(thm)],[f22,f4112])).
% 1.22/0.69 fof(f4116,plain,(
% 1.22/0.69 $false),
% 1.22/0.69 inference(forward_subsumption_resolution,[status(thm)],[f4115,f40])).
% 1.22/0.69 % SZS output end CNFRefutation for theBenchmark.p
% 1.22/0.70 % Elapsed time: 0.314925 seconds
% 1.22/0.70 % CPU time: 2.314821 seconds
% 1.22/0.70 % Total memory used: 121.700 MB
% 1.22/0.70 % Net memory used: 121.153 MB
%------------------------------------------------------------------------------