%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP563-1 : 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 : n011.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 12:36:49 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP563-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n011.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 20:16:55 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.14/0.40 % Refutation found
% 0.14/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.40 fof(f1,axiom,(
% 0.14/0.40 (![A,B,C]: (divide(divide(divide(A,inverse(B)),C),divide(A,C)) = B ))),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f2,axiom,(
% 0.14/0.40 (![A,B]: (multiply(A,B) = divide(A,inverse(B)) ))),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f3,negated_conjecture,(
% 0.14/0.40 multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f4,plain,(
% 0.14/0.40 ![X0,X1,X2]: (divide(divide(divide(X0,inverse(X1)),X2),divide(X0,X2))=X1)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/0.40 fof(f5,plain,(
% 0.14/0.40 ![X0,X1]: (multiply(X0,X1)=divide(X0,inverse(X1)))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.40 fof(f6,plain,(
% 0.14/0.40 ~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/0.40 fof(f12,plain,(
% 0.14/0.40 ![X0,X1,X2]: (divide(divide(multiply(X0,X1),X2),divide(X0,X2))=X1)),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f5,f4])).
% 0.14/0.40 fof(f13,plain,(
% 0.14/0.40 ![X0,X1,X2]: (divide(multiply(multiply(X0,X1),X2),divide(X0,inverse(X2)))=X1)),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f5,f12])).
% 0.14/0.40 fof(f14,plain,(
% 0.14/0.40 ![X0,X1,X2,X3]: (divide(divide(multiply(divide(multiply(X0,X1),X2),X3),divide(X0,X2)),X1)=X3)),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f12,f12])).
% 0.14/0.40 fof(f16,plain,(
% 0.14/0.40 ![X0,X1,X2]: (divide(multiply(multiply(X0,X1),X2),multiply(X0,X2))=X1)),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f5,f13])).
% 0.14/0.40 fof(f18,plain,(
% 0.14/0.40 ![X0,X1,X2]: (divide(X0,divide(multiply(X1,X0),multiply(X1,X2)))=X2)),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f16,f12])).
% 0.14/0.40 fof(f19,plain,(
% 0.14/0.40 ![X0,X1,X2,X3]: (divide(divide(multiply(multiply(multiply(X0,X1),X2),X3),multiply(X0,X2)),X1)=X3)),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f16,f12])).
% 0.14/0.40 fof(f21,plain,(
% 0.14/0.40 ![X0,X1,X2,X3]: (divide(divide(multiply(X0,X1),divide(multiply(X2,X0),multiply(X2,X3))),X3)=X1)),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f18,f12])).
% 0.14/0.40 fof(f39,plain,(
% 0.14/0.40 ![X0,X1,X2,X3]: (multiply(divide(multiply(multiply(multiply(X0,inverse(X1)),X2),X3),multiply(X0,X2)),X1)=X3)),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f5,f19])).
% 0.14/0.40 fof(f43,plain,(
% 0.14/0.40 ![X0,X1,X2,X3]: (multiply(divide(multiply(X0,X1),divide(multiply(X2,X0),multiply(X2,inverse(X3)))),X3)=X1)),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f5,f21])).
% 0.14/0.40 fof(f49,plain,(
% 0.14/0.40 ![X0,X1,X2,X3]: (divide(divide(X0,divide(multiply(multiply(X1,inverse(X2)),X3),multiply(X1,X3))),X0)=X2)),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f39,f14])).
% 0.14/0.40 fof(f64,plain,(
% 0.14/0.40 ![X0,X1]: (divide(divide(X0,inverse(X1)),X0)=X1)),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f16,f49])).
% 0.14/0.40 fof(f65,plain,(
% 0.14/0.40 ![X0,X1]: (divide(multiply(X0,X1),X0)=X1)),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f5,f64])).
% 0.14/0.40 fof(f71,plain,(
% 0.14/0.40 ![X0,X1]: (divide(X0,divide(X1,X1))=X0)),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f65,f12])).
% 0.14/0.40 fof(f76,plain,(
% 0.14/0.40 ![X0,X1]: (X0=multiply(divide(X1,X1),X0))),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f65,f71])).
% 0.14/0.40 fof(f117,plain,(
% 0.14/0.40 ![X0,X1,X2]: (divide(X0,divide(multiply(divide(X1,X1),X0),X2))=X2)),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f76,f18])).
% 0.14/0.40 fof(f130,plain,(
% 0.14/0.40 ![X0,X1]: (divide(X0,divide(X0,X1))=X1)),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f76,f117])).
% 0.14/0.40 fof(f142,plain,(
% 0.14/0.40 ![X0,X1,X2]: (divide(X0,X1)=divide(multiply(X2,X0),multiply(X2,X1)))),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f18,f130])).
% 0.14/0.40 fof(f170,plain,(
% 0.14/0.40 ![X0,X1,X2]: (multiply(divide(multiply(X0,X1),divide(X0,inverse(X2))),X2)=X1)),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f142,f43])).
% 0.14/0.40 fof(f190,plain,(
% 0.14/0.40 ![X0,X1,X2]: (multiply(divide(multiply(X0,X1),multiply(X0,X2)),X2)=X1)),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f5,f170])).
% 0.14/0.40 fof(f191,plain,(
% 0.14/0.40 ![X0,X1]: (multiply(divide(X0,X1),X1)=X0)),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f142,f190])).
% 0.14/0.40 fof(f309,plain,(
% 0.14/0.40 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=multiply(multiply(X1,X0),X2))),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f16,f191])).
% 0.14/0.40 fof(f311,plain,(
% 0.14/0.40 ![X0,X1]: (multiply(X0,X1)=multiply(X1,X0))),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f65,f191])).
% 0.14/0.40 fof(f330,plain,(
% 0.14/0.40 ~multiply(b3,multiply(a3,c3))=multiply(a3,multiply(b3,c3))),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f309,f6])).
% 0.14/0.40 fof(f564,plain,(
% 0.14/0.40 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=multiply(multiply(X0,X1),X2))),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f311,f309])).
% 0.14/0.40 fof(f831,plain,(
% 0.14/0.40 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=multiply(X1,multiply(X0,X2)))),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f309,f564])).
% 0.14/0.40 fof(f853,plain,(
% 0.14/0.40 $false),
% 0.14/0.40 inference(backward_subsumption_resolution,[status(thm)],[f330,f831])).
% 0.14/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 9.48/1.66 % Elapsed time: 1.077343 seconds
% 9.48/1.66 % CPU time: 0.145448 seconds
% 9.48/1.66 % Total memory used: 5.183 MB
% 9.48/1.66 % Net memory used: 4.786 MB
%------------------------------------------------------------------------------