%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP709-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.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 12:37:13 PM UTC 2026
% Result : Unsatisfiable 0.25s 5.56s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP709-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/5.47 % Computer : n006.cluster.edu
% 0.21/5.47 % Model : x86_64 x86_64
% 0.21/5.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/5.47 % Memory : 8046.5625MB
% 0.21/5.47 % OS : Linux 6.8.0-71-generic
% 0.21/5.47 % CPULimit : 300
% 0.21/5.47 % WCLimit : 300
% 0.21/5.47 % DateTime : Sun Sep 20 20:34:33 UTC 2026
% 0.21/5.47 % CPUTime :
% 0.21/5.48 % Drodi V4.1.1
% 0.25/5.56 % Refutation found
% 0.25/5.56 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.25/5.56 % SZS output start CNFRefutation for theBenchmark
% 0.25/5.56 fof(f5,axiom,(
% 0.25/5.56 (![A]: (mult(A,unit) = A ))),
% 0.25/5.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.25/5.56 fof(f6,axiom,(
% 0.25/5.56 (![A]: (mult(unit,A) = A ))),
% 0.25/5.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.25/5.56 fof(f7,axiom,(
% 0.25/5.56 (![A,B,C]: (mult(A,mult(B,mult(A,C))) = mult(mult(A,mult(B,A)),C) ))),
% 0.25/5.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.25/5.56 fof(f8,axiom,(
% 0.25/5.56 (![A]: (mult(op_c,A) = mult(A,op_c) ))),
% 0.25/5.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.25/5.56 fof(f9,axiom,(
% 0.25/5.56 (![A,B]: (mult(A,mult(B,op_c)) = mult(mult(A,B),op_c) ))),
% 0.25/5.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.25/5.56 fof(f10,negated_conjecture,(
% 0.25/5.56 mult(mult(op_c,op_c),mult(a,b)) != mult(mult(mult(op_c,op_c),a),b) ),
% 0.25/5.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.25/5.56 fof(f15,plain,(
% 0.25/5.56 ![X0]: (mult(X0,unit)=X0)),
% 0.25/5.56 inference(cnf_transformation,[status(thm)],[f5])).
% 0.25/5.56 fof(f16,plain,(
% 0.25/5.56 ![X0]: (mult(unit,X0)=X0)),
% 0.25/5.56 inference(cnf_transformation,[status(thm)],[f6])).
% 0.25/5.56 fof(f17,plain,(
% 0.25/5.56 ![X0,X1,X2]: (mult(X0,mult(X1,mult(X0,X2)))=mult(mult(X0,mult(X1,X0)),X2))),
% 0.25/5.56 inference(cnf_transformation,[status(thm)],[f7])).
% 0.25/5.56 fof(f18,plain,(
% 0.25/5.56 ![X0]: (mult(op_c,X0)=mult(X0,op_c))),
% 0.25/5.56 inference(cnf_transformation,[status(thm)],[f8])).
% 0.25/5.56 fof(f19,plain,(
% 0.25/5.56 ![X0,X1]: (mult(X0,mult(X1,op_c))=mult(mult(X0,X1),op_c))),
% 0.25/5.56 inference(cnf_transformation,[status(thm)],[f9])).
% 0.25/5.56 fof(f20,plain,(
% 0.25/5.56 ~mult(mult(op_c,op_c),mult(a,b))=mult(mult(mult(op_c,op_c),a),b)),
% 0.25/5.56 inference(cnf_transformation,[status(thm)],[f10])).
% 0.25/5.56 fof(f37,plain,(
% 0.25/5.56 ![X0,X1]: (mult(op_c,mult(X0,mult(op_c,X1)))=mult(mult(op_c,mult(op_c,X0)),X1))),
% 0.25/5.56 inference(paramodulation,[status(thm)],[f18,f17])).
% 0.25/5.56 fof(f39,plain,(
% 0.25/5.56 ![X0,X1]: (mult(X0,mult(X1,op_c))=mult(op_c,mult(X0,X1)))),
% 0.25/5.56 inference(paramodulation,[status(thm)],[f18,f19])).
% 0.25/5.56 fof(f59,plain,(
% 0.25/5.56 ![X0,X1]: (mult(X0,mult(op_c,X1))=mult(op_c,mult(X0,X1)))),
% 0.25/5.56 inference(paramodulation,[status(thm)],[f18,f39])).
% 0.25/5.56 fof(f418,plain,(
% 0.25/5.56 ![X0]: (mult(op_c,mult(unit,mult(op_c,X0)))=mult(mult(op_c,op_c),X0))),
% 0.25/5.56 inference(paramodulation,[status(thm)],[f15,f37])).
% 0.25/5.56 fof(f430,plain,(
% 0.25/5.56 ~mult(mult(op_c,op_c),mult(a,b))=mult(mult(op_c,mult(op_c,a)),b)),
% 0.25/5.56 inference(backward_demodulation,[status(thm)],[f431,f20])).
% 0.25/5.56 fof(f431,plain,(
% 0.25/5.56 ![X0]: (mult(op_c,mult(op_c,X0))=mult(mult(op_c,op_c),X0))),
% 0.25/5.56 inference(forward_demodulation,[status(thm)],[f16,f418])).
% 0.25/5.56 fof(f440,plain,(
% 0.25/5.56 ~mult(op_c,mult(op_c,mult(a,b)))=mult(mult(op_c,mult(op_c,a)),b)),
% 0.25/5.56 inference(forward_demodulation,[status(thm)],[f431,f430])).
% 0.25/5.56 fof(f441,plain,(
% 0.25/5.56 ~mult(op_c,mult(op_c,mult(a,b)))=mult(op_c,mult(a,mult(op_c,b)))),
% 0.25/5.56 inference(forward_demodulation,[status(thm)],[f37,f440])).
% 0.25/5.56 fof(f532,plain,(
% 0.25/5.56 ~mult(op_c,mult(a,mult(b,op_c)))=mult(op_c,mult(a,mult(op_c,b)))),
% 0.25/5.56 inference(paramodulation,[status(thm)],[f39,f441])).
% 0.25/5.56 fof(f732,plain,(
% 0.25/5.56 ~mult(op_c,mult(a,mult(b,op_c)))=mult(a,mult(mult(op_c,b),op_c))),
% 0.25/5.56 inference(paramodulation,[status(thm)],[f39,f532])).
% 0.25/5.56 fof(f734,plain,(
% 0.25/5.56 ~mult(op_c,mult(a,mult(b,op_c)))=mult(a,mult(op_c,mult(b,op_c)))),
% 0.25/5.56 inference(forward_demodulation,[status(thm)],[f19,f732])).
% 0.25/5.56 fof(f735,plain,(
% 0.25/5.56 $false),
% 0.25/5.56 inference(forward_subsumption_resolution,[status(thm)],[f734,f59])).
% 0.25/5.56 % SZS output end CNFRefutation for theBenchmark.p
% 0.25/6.81 % Elapsed time: 1.094790 seconds
% 0.25/6.81 % CPU time: 0.310664 seconds
% 0.25/6.81 % Total memory used: 6.928 MB
% 0.25/6.81 % Net memory used: 6.802 MB
%------------------------------------------------------------------------------