%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : HWC002-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/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 12:45:51 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.53s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWC002-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n001.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 20 20:52:28 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 0.13/0.53 % Refutation found
% 0.13/0.53 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.53 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.53 fof(f1,axiom,(
% 0.13/0.53 and(n0,n0) = n0 ),
% 0.13/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.53 fof(f2,axiom,(
% 0.13/0.53 and(n0,n1) = n0 ),
% 0.13/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.53 fof(f26,axiom,(
% 0.13/0.53 (![X,Y]: (circuit(top(X),Y,bottom(X)) ))),
% 0.13/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.53 fof(f27,axiom,(
% 0.13/0.53 (![X1,X2,X3,X4,Y1,Y2,Y3,Y4]: (and(table(X1,X2,X3,X4),table(Y1,Y2,Y3,Y4)) = table(and(X1,Y1),and(X2,Y2),and(X3,Y3),and(X4,Y4)) ))),
% 0.13/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.53 fof(f28,axiom,(
% 0.13/0.53 (![X]: (and(nil,X) = X ))),
% 0.13/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.53 fof(f33,axiom,(
% 0.13/0.53 table(n0,n0,n0,n0) = nil ),
% 0.13/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.53 fof(f35,axiom,(
% 0.13/0.53 (![X]: (connect(nil,X) = X ))),
% 0.13/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.53 fof(f38,negated_conjecture,(
% 0.13/0.53 ~ circuit(top(connect(table(n0,n1,n0,n1),nil)),nil,bottom(connect(table(n0,n0,n1,n1),nil))) ),
% 0.13/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.53 fof(f39,plain,(
% 0.13/0.53 and(n0,n0)=n0),
% 0.13/0.53 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.53 fof(f40,plain,(
% 0.13/0.53 and(n0,n1)=n0),
% 0.13/0.53 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.53 fof(f64,plain,(
% 0.13/0.53 ![X0,X1]: (circuit(top(X0),X1,bottom(X0)))),
% 0.13/0.53 inference(cnf_transformation,[status(thm)],[f26])).
% 0.13/0.53 fof(f65,plain,(
% 0.13/0.53 ![X0,X1,X2,X3,X4,X5,X6,X7]: (and(table(X0,X1,X2,X3),table(X4,X5,X6,X7))=table(and(X0,X4),and(X1,X5),and(X2,X6),and(X3,X7)))),
% 0.13/0.53 inference(cnf_transformation,[status(thm)],[f27])).
% 0.13/0.53 fof(f66,plain,(
% 0.13/0.53 ![X0]: (and(nil,X0)=X0)),
% 0.13/0.53 inference(cnf_transformation,[status(thm)],[f28])).
% 0.13/0.53 fof(f71,plain,(
% 0.13/0.53 table(n0,n0,n0,n0)=nil),
% 0.13/0.53 inference(cnf_transformation,[status(thm)],[f33])).
% 0.13/0.53 fof(f73,plain,(
% 0.13/0.53 ![X0]: (connect(nil,X0)=X0)),
% 0.13/0.53 inference(cnf_transformation,[status(thm)],[f35])).
% 0.13/0.53 fof(f76,plain,(
% 0.13/0.53 ~circuit(top(connect(table(n0,n1,n0,n1),nil)),nil,bottom(connect(table(n0,n0,n1,n1),nil)))),
% 0.13/0.53 inference(cnf_transformation,[status(thm)],[f38])).
% 0.13/0.53 fof(f85,plain,(
% 0.13/0.53 ![X0,X1,X2,X3,X4,X5]: (and(table(X0,X1,X2,n0),table(X3,X4,X5,n0))=table(and(X0,X3),and(X1,X4),and(X2,X5),n0))),
% 0.13/0.53 inference(paramodulation,[status(thm)],[f39,f65])).
% 0.13/0.53 fof(f86,plain,(
% 0.13/0.53 ![X0,X1,X2,X3,X4,X5]: (and(table(X0,X1,n0,X2),table(X3,X4,n0,X5))=table(and(X0,X3),and(X1,X4),n0,and(X2,X5)))),
% 0.13/0.53 inference(paramodulation,[status(thm)],[f39,f65])).
% 0.13/0.53 fof(f87,plain,(
% 0.13/0.53 ![X0,X1,X2,X3,X4,X5]: (and(table(X0,n0,X1,X2),table(X3,n0,X4,X5))=table(and(X0,X3),n0,and(X1,X4),and(X2,X5)))),
% 0.13/0.53 inference(paramodulation,[status(thm)],[f39,f65])).
% 0.13/0.53 fof(f89,plain,(
% 0.13/0.53 ![X0,X1,X2,X3,X4,X5]: (and(table(X0,X1,X2,n0),table(X3,X4,X5,n1))=table(and(X0,X3),and(X1,X4),and(X2,X5),n0))),
% 0.13/0.53 inference(paramodulation,[status(thm)],[f40,f65])).
% 0.13/0.53 fof(f90,plain,(
% 0.13/0.53 ![X0,X1,X2,X3,X4,X5]: (and(table(X0,X1,n0,X2),table(X3,X4,n1,X5))=table(and(X0,X3),and(X1,X4),n0,and(X2,X5)))),
% 0.13/0.53 inference(paramodulation,[status(thm)],[f40,f65])).
% 0.13/0.53 fof(f91,plain,(
% 0.13/0.53 ![X0,X1,X2,X3,X4,X5]: (and(table(X0,n0,X1,X2),table(X3,n1,X4,X5))=table(and(X0,X3),n0,and(X1,X4),and(X2,X5)))),
% 0.13/0.53 inference(paramodulation,[status(thm)],[f40,f65])).
% 0.13/0.53 fof(f172,plain,(
% 0.13/0.53 ![X0,X1,X2]: (and(nil,table(X0,X1,X2,n0))=table(and(n0,X0),and(n0,X1),and(n0,X2),n0))),
% 0.13/0.53 inference(paramodulation,[status(thm)],[f71,f85])).
% 0.13/0.53 fof(f184,plain,(
% 0.13/0.53 ![X0,X1,X2]: (table(X0,X1,X2,n0)=table(and(n0,X0),and(n0,X1),and(n0,X2),n0))),
% 0.13/0.53 inference(forward_demodulation,[status(thm)],[f66,f172])).
% 0.13/0.53 fof(f198,plain,(
% 0.13/0.53 ![X0,X1,X2]: (and(nil,table(X0,X1,n0,X2))=table(and(n0,X0),and(n0,X1),n0,and(n0,X2)))),
% 0.13/0.53 inference(paramodulation,[status(thm)],[f71,f86])).
% 0.13/0.53 fof(f212,plain,(
% 0.13/0.53 ![X0,X1,X2]: (table(X0,X1,n0,X2)=table(and(n0,X0),and(n0,X1),n0,and(n0,X2)))),
% 0.13/0.53 inference(forward_demodulation,[status(thm)],[f66,f198])).
% 0.13/0.53 fof(f228,plain,(
% 0.13/0.53 ![X0,X1,X2]: (and(nil,table(X0,n0,X1,X2))=table(and(n0,X0),n0,and(n0,X1),and(n0,X2)))),
% 0.13/0.53 inference(paramodulation,[status(thm)],[f71,f87])).
% 0.13/0.53 fof(f244,plain,(
% 0.13/0.53 ![X0,X1,X2]: (table(X0,n0,X1,X2)=table(and(n0,X0),n0,and(n0,X1),and(n0,X2)))),
% 0.13/0.55 inference(forward_demodulation,[status(thm)],[f66,f228])).
% 0.13/0.55 fof(f299,plain,(
% 0.13/0.55 ![X0,X1,X2]: (and(nil,table(X0,X1,X2,n1))=table(and(n0,X0),and(n0,X1),and(n0,X2),n0))),
% 0.13/0.55 inference(paramodulation,[status(thm)],[f71,f89])).
% 0.13/0.55 fof(f317,plain,(
% 0.13/0.55 ![X0,X1,X2]: (table(X0,X1,X2,n1)=table(and(n0,X0),and(n0,X1),and(n0,X2),n0))),
% 0.13/0.55 inference(forward_demodulation,[status(thm)],[f66,f299])).
% 0.13/0.55 fof(f320,plain,(
% 0.13/0.55 ~circuit(top(connect(table(n0,n1,n0,n1),nil)),nil,bottom(connect(table(n0,n0,n1,n0),nil)))),
% 0.13/0.55 inference(backward_demodulation,[status(thm)],[f326,f76])).
% 0.13/0.55 fof(f326,plain,(
% 0.13/0.55 ![X0,X1,X2]: (table(X0,X1,X2,n1)=table(X0,X1,X2,n0))),
% 0.13/0.55 inference(forward_demodulation,[status(thm)],[f184,f317])).
% 0.13/0.55 fof(f342,plain,(
% 0.13/0.55 ~circuit(top(connect(table(n0,n1,n0,n0),nil)),nil,bottom(connect(table(n0,n0,n1,n0),nil)))),
% 0.13/0.55 inference(forward_demodulation,[status(thm)],[f326,f320])).
% 0.13/0.55 fof(f454,plain,(
% 0.13/0.55 ![X0,X1,X2]: (and(nil,table(X0,X1,n1,X2))=table(and(n0,X0),and(n0,X1),n0,and(n0,X2)))),
% 0.13/0.55 inference(paramodulation,[status(thm)],[f71,f90])).
% 0.13/0.55 fof(f474,plain,(
% 0.13/0.55 ![X0,X1,X2]: (table(X0,X1,n1,X2)=table(and(n0,X0),and(n0,X1),n0,and(n0,X2)))),
% 0.13/0.55 inference(forward_demodulation,[status(thm)],[f66,f454])).
% 0.13/0.55 fof(f477,plain,(
% 0.13/0.55 ~circuit(top(connect(table(n0,n1,n0,n0),nil)),nil,bottom(connect(table(n0,n0,n0,n0),nil)))),
% 0.13/0.55 inference(backward_demodulation,[status(thm)],[f485,f342])).
% 0.13/0.55 fof(f485,plain,(
% 0.13/0.55 ![X0,X1,X2]: (table(X0,X1,n1,X2)=table(X0,X1,n0,X2))),
% 0.13/0.55 inference(forward_demodulation,[status(thm)],[f212,f474])).
% 0.13/0.55 fof(f504,plain,(
% 0.13/0.55 ~circuit(top(connect(table(n0,n1,n0,n0),nil)),nil,bottom(connect(nil,nil)))),
% 0.13/0.55 inference(forward_demodulation,[status(thm)],[f71,f477])).
% 0.13/0.55 fof(f505,plain,(
% 0.13/0.55 ~circuit(top(connect(table(n0,n1,n0,n0),nil)),nil,bottom(nil))),
% 0.13/0.55 inference(forward_demodulation,[status(thm)],[f73,f504])).
% 0.13/0.55 fof(f682,plain,(
% 0.13/0.55 ![X0,X1,X2]: (and(nil,table(X0,n1,X1,X2))=table(and(n0,X0),n0,and(n0,X1),and(n0,X2)))),
% 0.13/0.55 inference(paramodulation,[status(thm)],[f71,f91])).
% 0.13/0.55 fof(f704,plain,(
% 0.13/0.55 ![X0,X1,X2]: (table(X0,n1,X1,X2)=table(and(n0,X0),n0,and(n0,X1),and(n0,X2)))),
% 0.13/0.55 inference(forward_demodulation,[status(thm)],[f66,f682])).
% 0.13/0.55 fof(f706,plain,(
% 0.13/0.55 ~circuit(top(connect(table(n0,n0,n0,n0),nil)),nil,bottom(nil))),
% 0.13/0.55 inference(backward_demodulation,[status(thm)],[f717,f505])).
% 0.13/0.55 fof(f717,plain,(
% 0.13/0.55 ![X0,X1,X2]: (table(X0,n1,X1,X2)=table(X0,n0,X1,X2))),
% 0.13/0.55 inference(forward_demodulation,[status(thm)],[f244,f704])).
% 0.13/0.55 fof(f736,plain,(
% 0.13/0.55 ~circuit(top(connect(nil,nil)),nil,bottom(nil))),
% 0.13/0.55 inference(forward_demodulation,[status(thm)],[f71,f706])).
% 0.13/0.55 fof(f737,plain,(
% 0.13/0.55 ~circuit(top(nil),nil,bottom(nil))),
% 0.13/0.55 inference(forward_demodulation,[status(thm)],[f73,f736])).
% 0.13/0.55 fof(f738,plain,(
% 0.13/0.55 $false),
% 0.13/0.55 inference(forward_subsumption_resolution,[status(thm)],[f737,f64])).
% 0.13/0.55 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.56 % Elapsed time: 0.195575 seconds
% 0.13/0.56 % CPU time: 1.323729 seconds
% 0.13/0.56 % Total memory used: 93.067 MB
% 0.13/0.56 % Net memory used: 92.796 MB
%------------------------------------------------------------------------------