%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP527-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n002.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 12:36:46 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP527-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n002.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sun Sep 20 20:18:32 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 % Drodi V4.1.1
% 0.10/0.38 % Refutation found
% 0.10/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.38 fof(f1,axiom,(
% 0.10/0.38 (![A,B,C]: (divide(A,divide(divide(A,B),divide(C,B))) = C ))),
% 0.10/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f2,axiom,(
% 0.10/0.38 (![A,B,C]: (multiply(A,B) = divide(A,divide(divide(C,C),B)) ))),
% 0.10/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f3,axiom,(
% 0.10/0.38 (![A,B]: (inverse(A) = divide(divide(B,B),A) ))),
% 0.10/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f4,negated_conjecture,(
% 0.10/0.38 multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
% 0.10/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f5,plain,(
% 0.10/0.38 ![X0,X1,X2]: (divide(X0,divide(divide(X0,X1),divide(X2,X1)))=X2)),
% 0.10/0.38 inference(cnf_transformation,[status(thm)],[f1])).
% 0.10/0.38 fof(f6,plain,(
% 0.10/0.38 ![X0,X1,X2]: (multiply(X0,X1)=divide(X0,divide(divide(X2,X2),X1)))),
% 0.10/0.38 inference(cnf_transformation,[status(thm)],[f2])).
% 0.10/0.38 fof(f7,plain,(
% 0.10/0.38 ![X0,X1]: (inverse(X0)=divide(divide(X1,X1),X0))),
% 0.10/0.38 inference(cnf_transformation,[status(thm)],[f3])).
% 0.10/0.38 fof(f8,plain,(
% 0.10/0.38 ~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 0.10/0.38 inference(cnf_transformation,[status(thm)],[f4])).
% 0.10/0.38 fof(f14,plain,(
% 0.10/0.38 ![X0,X1]: (multiply(X0,X1)=divide(X0,inverse(X1)))),
% 0.10/0.38 inference(backward_demodulation,[status(thm)],[f7,f6])).
% 0.10/0.38 fof(f17,plain,(
% 0.10/0.38 ![X0,X1,X2]: (divide(X0,divide(multiply(X0,X1),divide(X2,inverse(X1))))=X2)),
% 0.10/0.38 inference(paramodulation,[status(thm)],[f14,f5])).
% 0.10/0.38 fof(f20,plain,(
% 0.10/0.38 ![X0,X1,X2]: (divide(X0,divide(multiply(X0,X1),multiply(X2,X1)))=X2)),
% 0.10/0.38 inference(forward_demodulation,[status(thm)],[f14,f17])).
% 0.10/0.38 fof(f22,plain,(
% 0.10/0.38 ![X0,X1,X2]: (divide(X0,X1)=multiply(divide(X0,multiply(X1,X2)),X2))),
% 0.10/0.38 inference(paramodulation,[status(thm)],[f20,f5])).
% 0.10/0.38 fof(f23,plain,(
% 0.10/0.38 ![X0,X1,X2,X3]: (divide(X0,divide(divide(X0,divide(multiply(X1,X2),multiply(X3,X2))),X3))=X1)),
% 0.10/0.38 inference(paramodulation,[status(thm)],[f20,f5])).
% 0.10/0.38 fof(f24,plain,(
% 0.10/0.38 ![X0,X1,X2,X3]: (divide(X0,divide(X1,divide(X2,divide(multiply(X0,X3),multiply(X1,X3)))))=X2)),
% 0.10/0.38 inference(paramodulation,[status(thm)],[f20,f5])).
% 0.10/0.38 fof(f25,plain,(
% 0.10/0.38 ![X0,X1,X2,X3]: (divide(X0,divide(X1,multiply(X2,X3)))=multiply(divide(X0,divide(X1,X2)),X3))),
% 0.10/0.38 inference(paramodulation,[status(thm)],[f22,f22])).
% 0.10/0.38 fof(f28,plain,(
% 0.10/0.38 ![X0,X1,X2]: (multiply(divide(X0,divide(multiply(X0,X1),X2)),X1)=X2)),
% 0.10/0.38 inference(backward_demodulation,[status(thm)],[f25,f20])).
% 0.10/0.38 fof(f29,plain,(
% 0.10/0.38 ![X0,X1,X2,X3]: (divide(X0,divide(X1,multiply(divide(X2,divide(multiply(X0,X3),X1)),X3)))=X2)),
% 0.10/0.38 inference(backward_demodulation,[status(thm)],[f25,f24])).
% 0.10/0.38 fof(f30,plain,(
% 0.10/0.38 ![X0,X1,X2,X3]: (divide(X0,divide(multiply(divide(X0,divide(multiply(X1,X2),X3)),X2),X3))=X1)),
% 0.10/0.38 inference(backward_demodulation,[status(thm)],[f25,f23])).
% 0.10/0.38 fof(f32,plain,(
% 0.10/0.38 ![X0,X1,X2,X3]: (multiply(divide(X0,divide(X1,divide(X2,divide(multiply(X0,X3),X1)))),X3)=X2)),
% 0.10/0.38 inference(forward_demodulation,[status(thm)],[f25,f29])).
% 0.10/0.38 fof(f33,plain,(
% 0.10/0.38 ![X0,X1,X2,X3]: (multiply(divide(X0,X1),X2)=divide(divide(multiply(X0,X2),X3),divide(X1,X3)))),
% 0.10/0.38 inference(paramodulation,[status(thm)],[f5,f28])).
% 0.10/0.38 fof(f65,plain,(
% 0.10/0.38 ![X0,X1,X2,X3,X4]: (multiply(divide(X0,X1),X2)=divide(multiply(divide(multiply(X0,X2),divide(multiply(X1,X3),X4)),X3),X4))),
% 0.10/0.38 inference(paramodulation,[status(thm)],[f30,f28])).
% 0.10/0.38 fof(f68,plain,(
% 0.10/0.38 ![X0,X1,X2,X3,X4]: (multiply(divide(X0,X1),X2)=multiply(divide(X3,divide(multiply(X1,X4),divide(multiply(X0,X2),X3))),X4))),
% 0.10/0.38 inference(paramodulation,[status(thm)],[f30,f32])).
% 0.10/0.38 fof(f82,plain,(
% 0.10/0.38 ![X0,X1,X2,X3,X4,X5]: (multiply(divide(X0,X1),X2)=divide(X3,divide(X1,divide(multiply(divide(multiply(X0,X2),divide(multiply(X3,X4),X5)),X4),X5))))),
% 0.10/0.38 inference(paramodulation,[status(thm)],[f30,f33])).
% 0.10/0.38 fof(f102,plain,(
% 0.10/0.38 ![X0,X1,X2,X3]: (multiply(divide(X0,X1),X2)=divide(X3,divide(X1,multiply(divide(X0,X3),X2))))),
% 0.10/0.38 inference(forward_demodulation,[status(thm)],[f65,f82])).
% 0.10/0.38 fof(f103,plain,(
% 0.10/0.38 ![X0,X1,X2,X3]: (multiply(divide(X0,X1),X2)=multiply(divide(multiply(X0,X2),multiply(X1,X3)),X3))),
% 0.10/0.38 inference(backward_demodulation,[status(thm)],[f104,f68])).
% 0.10/0.38 fof(f104,plain,(
% 0.10/0.38 ![X0,X1,X2,X3]: (multiply(divide(X0,X1),X2)=multiply(divide(X3,divide(X1,divide(X0,X3))),X2))),
% 0.10/0.38 inference(forward_demodulation,[status(thm)],[f25,f102])).
% 0.10/0.38 fof(f148,plain,(
% 0.10/0.38 ![X0,X1,X2]: (multiply(divide(X0,X1),X2)=divide(multiply(X0,X2),X1))),
% 0.10/0.38 inference(forward_demodulation,[status(thm)],[f22,f103])).
% 0.10/0.38 fof(f248,plain,(
% 0.10/0.38 ![X0,X1]: (inverse(X0)=divide(multiply(inverse(X1),X1),X0))),
% 0.10/0.38 inference(paramodulation,[status(thm)],[f14,f7])).
% 0.10/0.38 fof(f262,plain,(
% 0.10/0.38 ![X0,X1]: (inverse(X0)=multiply(divide(inverse(X1),X0),X1))),
% 0.10/0.38 inference(forward_demodulation,[status(thm)],[f148,f248])).
% 0.10/0.38 fof(f380,plain,(
% 0.10/0.38 ![X0,X1]: (inverse(multiply(X0,X1))=divide(inverse(X1),X0))),
% 0.10/0.38 inference(paramodulation,[status(thm)],[f22,f262])).
% 0.10/0.38 fof(f390,plain,(
% 0.10/0.38 ![X0,X1,X2]: (divide(X0,divide(inverse(X1),X2))=multiply(divide(X0,inverse(X2)),X1))),
% 0.10/0.38 inference(paramodulation,[status(thm)],[f262,f22])).
% 0.10/0.38 fof(f399,plain,(
% 0.10/0.38 ![X0,X1,X2]: (divide(X0,inverse(multiply(X1,X2)))=multiply(divide(X0,inverse(X1)),X2))),
% 0.10/0.38 inference(forward_demodulation,[status(thm)],[f380,f390])).
% 0.10/0.38 fof(f400,plain,(
% 0.10/0.38 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=multiply(divide(X0,inverse(X1)),X2))),
% 0.10/0.38 inference(forward_demodulation,[status(thm)],[f14,f399])).
% 0.10/0.38 fof(f401,plain,(
% 0.10/0.38 ~multiply(a3,multiply(b3,c3))=multiply(a3,multiply(b3,c3))),
% 0.10/0.38 inference(backward_demodulation,[status(thm)],[f406,f8])).
% 0.10/0.38 fof(f406,plain,(
% 0.10/0.38 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=multiply(multiply(X0,X1),X2))),
% 0.10/0.38 inference(forward_demodulation,[status(thm)],[f14,f400])).
% 0.10/0.38 fof(f407,plain,(
% 0.10/0.38 $false),
% 0.10/0.38 inference(trivial_equality_resolution,[status(thm)],[f401])).
% 0.10/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 4.97/1.61 % Elapsed time: 1.027588 seconds
% 4.97/1.61 % CPU time: 0.055843 seconds
% 4.97/1.61 % Total memory used: 1.822 MB
% 4.97/1.61 % Net memory used: 1.690 MB
%------------------------------------------------------------------------------