%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LCL897-10 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 01:11:19 PM UTC 2026
% Result : Unsatisfiable 0.20s 0.63s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL897-10 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.45 % Computer : n019.cluster.edu
% 0.20/0.45 % Model : x86_64 x86_64
% 0.20/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.45 % Memory : 8046.5625MB
% 0.20/0.45 % OS : Linux 6.8.0-71-generic
% 0.20/0.45 % CPULimit : 300
% 0.20/0.45 % WCLimit : 300
% 0.20/0.45 % DateTime : Mon Sep 21 01:10:19 UTC 2026
% 0.20/0.45 % CPUTime :
% 0.20/0.47 % Drodi V4.1.1
% 0.20/0.63 % Refutation found
% 0.20/0.63 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.63 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.63 fof(f1,axiom,(
% 0.20/0.63 (![A,B,C]: ('+'('+'(A,B),C) = '+'(A,'+'(B,C)) ))),
% 0.20/0.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.63 fof(f2,axiom,(
% 0.20/0.63 (![A,B]: ('+'(A,B) = '+'(B,A) ))),
% 0.20/0.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.63 fof(f7,axiom,(
% 0.20/0.63 (![A,B,C]: (' = =>'('+'(A,B),C) = ' = =>'(A,' = =>'(B,C)) ))),
% 0.20/0.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.63 fof(f8,axiom,(
% 0.20/0.63 (![A,B]: ('+'(A,' = =>'(A,B)) = '+'(B,' = =>'(B,A)) ))),
% 0.20/0.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.63 fof(f9,negated_conjecture,(
% 0.20/0.63 '+'('+'(a,' = =>'(a,b)),' = =>'('+'(a,' = =>'(a,b)),c)) != '+'(a,' = =>'(a,'+'(b,' = =>'(b,c)))) ),
% 0.20/0.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.63 fof(f10,plain,(
% 0.20/0.63 ![X0,X1,X2]: ('+'('+'(X0,X1),X2)='+'(X0,'+'(X1,X2)))),
% 0.20/0.63 inference(cnf_transformation,[status(thm)],[f1])).
% 0.20/0.63 fof(f11,plain,(
% 0.20/0.63 ![X0,X1]: ('+'(X0,X1)='+'(X1,X0))),
% 0.20/0.63 inference(cnf_transformation,[status(thm)],[f2])).
% 0.20/0.63 fof(f16,plain,(
% 0.20/0.63 ![X0,X1,X2]: (' = =>'('+'(X0,X1),X2)=' = =>'(X0,' = =>'(X1,X2)))),
% 0.20/0.63 inference(cnf_transformation,[status(thm)],[f7])).
% 0.20/0.63 fof(f17,plain,(
% 0.20/0.63 ![X0,X1]: ('+'(X0,' = =>'(X0,X1))='+'(X1,' = =>'(X1,X0)))),
% 0.20/0.63 inference(cnf_transformation,[status(thm)],[f8])).
% 0.20/0.63 fof(f18,plain,(
% 0.20/0.63 ~'+'('+'(a,' = =>'(a,b)),' = =>'('+'(a,' = =>'(a,b)),c))='+'(a,' = =>'(a,'+'(b,' = =>'(b,c))))),
% 0.20/0.63 inference(cnf_transformation,[status(thm)],[f9])).
% 0.20/0.63 fof(f29,plain,(
% 0.20/0.63 ~'+'(a,'+'(' = =>'(a,b),' = =>'('+'(a,' = =>'(a,b)),c)))='+'(a,' = =>'(a,'+'(b,' = =>'(b,c))))),
% 0.20/0.63 inference(forward_demodulation,[status(thm)],[f10,f18])).
% 0.20/0.63 fof(f30,plain,(
% 0.20/0.63 ~'+'(a,'+'(' = =>'(a,b),' = =>'(a,' = =>'(' = =>'(a,b),c))))='+'(a,' = =>'(a,'+'(b,' = =>'(b,c))))),
% 0.20/0.63 inference(forward_demodulation,[status(thm)],[f16,f29])).
% 0.20/0.63 fof(f45,plain,(
% 0.20/0.63 ![X0,X1,X2]: (' = =>'('+'(X0,X1),X2)=' = =>'(X1,' = =>'(X0,X2)))),
% 0.20/0.63 inference(paramodulation,[status(thm)],[f11,f16])).
% 0.20/0.63 fof(f56,plain,(
% 0.20/0.63 ![X0,X1,X2]: ('+'(X0,'+'(X1,' = =>'('+'(X0,X1),X2)))='+'(X2,' = =>'(X2,'+'(X0,X1))))),
% 0.20/0.63 inference(paramodulation,[status(thm)],[f10,f17])).
% 0.20/0.63 fof(f60,plain,(
% 0.20/0.63 ![X0,X1,X2]: ('+'('+'(X0,X1),' = =>'(X0,' = =>'(X1,X2)))='+'(X2,' = =>'(X2,'+'(X0,X1))))),
% 0.20/0.63 inference(paramodulation,[status(thm)],[f16,f17])).
% 0.20/0.63 fof(f74,plain,(
% 0.20/0.63 ![X0,X1,X2]: ('+'(X0,'+'(X1,' = =>'(X1,' = =>'(X0,X2))))='+'(X2,' = =>'(X2,'+'(X0,X1))))),
% 0.20/0.63 inference(forward_demodulation,[status(thm)],[f45,f56])).
% 0.20/0.63 fof(f76,plain,(
% 0.20/0.63 ![X0,X1,X2]: ('+'(X0,'+'(X1,' = =>'(X0,' = =>'(X1,X2))))='+'(X2,' = =>'(X2,'+'(X0,X1))))),
% 0.20/0.63 inference(forward_demodulation,[status(thm)],[f10,f60])).
% 0.20/0.63 fof(f210,plain,(
% 0.20/0.63 ![X0,X1,X2]: ('+'(X0,'+'(' = =>'(X0,X1),' = =>'(' = =>'(X0,X1),X2)))='+'(X1,' = =>'(X1,'+'(X0,X2))))),
% 0.20/0.63 inference(paramodulation,[status(thm)],[f17,f74])).
% 0.20/0.63 fof(f229,plain,(
% 0.20/0.63 ![X0,X1,X2]: ('+'(X0,'+'(' = =>'(X0,X1),' = =>'(' = =>'(X0,X1),' = =>'(X0,X2))))='+'(X2,' = =>'(X2,'+'(X1,' = =>'(X1,X0)))))),
% 0.20/0.63 inference(paramodulation,[status(thm)],[f17,f74])).
% 0.20/0.63 fof(f285,plain,(
% 0.20/0.63 ![X0,X1,X2]: ('+'(X0,' = =>'(X0,'+'(X1,' = =>'(X1,X2))))='+'(X2,' = =>'(X2,'+'(X0,' = =>'(X0,X1)))))),
% 0.20/0.63 inference(forward_demodulation,[status(thm)],[f210,f229])).
% 0.20/0.63 fof(f425,plain,(
% 0.20/0.63 ~'+'(c,' = =>'(c,'+'(a,' = =>'(a,b))))='+'(a,' = =>'(a,'+'(b,' = =>'(b,c))))),
% 0.20/0.63 inference(paramodulation,[status(thm)],[f76,f30])).
% 0.20/0.63 fof(f499,plain,(
% 0.20/0.63 $false),
% 0.20/0.63 inference(forward_subsumption_resolution,[status(thm)],[f425,f285])).
% 0.20/0.63 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.64 % Elapsed time: 0.163218 seconds
% 0.20/0.64 % CPU time: 0.980446 seconds
% 0.20/0.64 % Total memory used: 16.345 MB
% 0.20/0.64 % Net memory used: 16.098 MB
%------------------------------------------------------------------------------