%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP710+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 : n008.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 : Theorem 0.14s 5.68s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP710+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.58 % Computer : n008.cluster.edu
% 0.10/5.58 % Model : x86_64 x86_64
% 0.10/5.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.58 % Memory : 8046.5625MB
% 0.10/5.58 % OS : Linux 6.8.0-71-generic
% 0.10/5.58 % CPULimit : 300
% 0.10/5.58 % WCLimit : 300
% 0.10/5.58 % DateTime : Sun Sep 20 20:35:29 UTC 2026
% 0.10/5.58 % CPUTime :
% 0.10/5.59 % Drodi V4.1.1
% 0.14/5.68 % Refutation found
% 0.14/5.68 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/5.68 % SZS output start CNFRefutation for theBenchmark
% 0.14/5.68 fof(f1,axiom,(
% 0.14/5.68 (! [A] : mult(A,unit) = A )),
% 0.14/5.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.68 fof(f2,axiom,(
% 0.14/5.68 (! [A] : mult(unit,A) = A )),
% 0.14/5.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.68 fof(f3,axiom,(
% 0.14/5.68 (! [C,B,A] : mult(A,mult(B,mult(B,C))) = mult(mult(mult(A,B),B),C) )),
% 0.14/5.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.68 fof(f4,axiom,(
% 0.14/5.68 (! [A] : mult(A,i(A)) = unit )),
% 0.14/5.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.68 fof(f5,axiom,(
% 0.14/5.68 (! [A] : mult(i(A),A) = unit )),
% 0.14/5.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.68 fof(f6,conjecture,(
% 0.14/5.68 ( (! [X0,X1] :(? [X2] : mult(X0,X2) = X1))& (! [X3,X4] :(? [X5] : mult(X5,X4) = X3 ))) ),
% 0.14/5.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/5.68 fof(f7,negated_conjecture,(
% 0.14/5.68 ~(( (! [X0,X1] :(? [X2] : mult(X0,X2) = X1))& (! [X3,X4] :(? [X5] : mult(X5,X4) = X3 ))) )),
% 0.14/5.68 inference(negated_conjecture,[status(cth)],[f6])).
% 0.14/5.68 fof(f8,plain,(
% 0.14/5.68 ![X0]: (mult(X0,unit)=X0)),
% 0.14/5.68 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/5.68 fof(f9,plain,(
% 0.14/5.68 ![X0]: (mult(unit,X0)=X0)),
% 0.14/5.68 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/5.68 fof(f10,plain,(
% 0.14/5.68 ![X0,X1,X2]: (mult(X0,mult(X1,mult(X1,X2)))=mult(mult(mult(X0,X1),X1),X2))),
% 0.14/5.68 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/5.68 fof(f11,plain,(
% 0.14/5.68 ![X0]: (mult(X0,i(X0))=unit)),
% 0.14/5.68 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/5.68 fof(f12,plain,(
% 0.14/5.68 ![X0]: (mult(i(X0),X0)=unit)),
% 0.14/5.68 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/5.68 fof(f13,plain,(
% 0.14/5.68 ((?[X0,X1]: ![X2]: ~mult(X0,X2)=X1)|(?[X3,X4]: ![X5]: ~mult(X5,X4)=X3))),
% 0.14/5.68 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.14/5.68 fof(f14,plain,(
% 0.14/5.68 ![X2]: ~mult(sK0_skl,X2)=sK1_skl|![X5]: ~mult(X5,sK3_skl)=sK2_skl),
% 0.14/5.68 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl]),skolemize(X0,sK0_skl),skolemize(X1,sK1_skl),skolemize(X3,sK2_skl),skolemize(X4,sK3_skl)],[f13])).
% 0.14/5.68 fof(f15,plain,(
% 0.14/5.68 ![X0,X1]: (~mult(sK0_skl,X0)=sK1_skl|~mult(X1,sK3_skl)=sK2_skl)),
% 0.14/5.68 inference(cnf_transformation,[status(thm)],[f14])).
% 0.14/5.68 fof(f16,definition,(
% 0.14/5.68 ![X0]: (sQ0_spl <=> (~mult(sK0_skl,X0)=sK1_skl))),
% 0.14/5.68 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/5.68 fof(f17,plain,(
% 0.14/5.68 ![X0]: (~mult(sK0_skl,X0)=sK1_skl|~sQ0_spl)),
% 0.14/5.68 inference(component_clause,[status(thm)],[f16])).
% 0.14/5.68 fof(f19,definition,(
% 0.14/5.68 ![X1]: (sQ1_spl <=> (~mult(X1,sK3_skl)=sK2_skl))),
% 0.14/5.68 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/5.68 fof(f20,plain,(
% 0.14/5.68 ![X0]: (~mult(X0,sK3_skl)=sK2_skl|~sQ1_spl)),
% 0.14/5.68 inference(component_clause,[status(thm)],[f19])).
% 0.14/5.68 fof(f22,plain,(
% 0.14/5.68 sQ0_spl|sQ1_spl),
% 0.14/5.68 inference(split_clause,[status(thm)],[f15,f16,f19])).
% 0.14/5.68 fof(f31,plain,(
% 0.14/5.68 ![X0,X1]: (mult(X0,mult(X1,mult(X1,unit)))=mult(mult(X0,X1),X1))),
% 0.14/5.68 inference(paramodulation,[status(thm)],[f8,f10])).
% 0.14/5.68 fof(f35,plain,(
% 0.14/5.68 ![X0,X1]: (mult(unit,mult(X0,mult(X0,X1)))=mult(mult(X0,X0),X1))),
% 0.14/5.68 inference(paramodulation,[status(thm)],[f9,f10])).
% 0.14/5.68 fof(f36,plain,(
% 0.14/5.68 ![X0,X1]: (mult(X0,mult(i(X0),mult(i(X0),X1)))=mult(mult(unit,i(X0)),X1))),
% 0.14/5.68 inference(paramodulation,[status(thm)],[f11,f10])).
% 0.14/5.68 fof(f40,plain,(
% 0.14/5.68 ![X0,X1,X2]: (mult(X0,mult(X1,mult(X1,X2)))=mult(mult(X0,mult(X1,X1)),X2))),
% 0.14/5.68 inference(backward_demodulation,[status(thm)],[f42,f10])).
% 0.14/5.68 fof(f42,plain,(
% 0.14/5.68 ![X0,X1]: (mult(X0,mult(X1,X1))=mult(mult(X0,X1),X1))),
% 0.14/5.68 inference(forward_demodulation,[status(thm)],[f8,f31])).
% 0.14/5.68 fof(f46,plain,(
% 0.14/5.68 ![X0,X1]: (mult(X0,mult(X0,X1))=mult(mult(X0,X0),X1))),
% 0.14/5.68 inference(forward_demodulation,[status(thm)],[f9,f35])).
% 0.14/5.68 fof(f47,plain,(
% 0.14/5.68 ![X0,X1]: (mult(X0,mult(i(X0),mult(i(X0),X1)))=mult(i(X0),X1))),
% 0.14/5.68 inference(forward_demodulation,[status(thm)],[f9,f36])).
% 0.14/5.68 fof(f57,plain,(
% 0.14/5.68 ![X0]: (mult(i(X0),mult(X0,X0))=mult(unit,X0))),
% 0.14/5.68 inference(paramodulation,[status(thm)],[f12,f42])).
% 0.14/5.68 fof(f59,plain,(
% 0.14/5.68 ![X0]: (mult(X0,mult(i(X0),i(X0)))=mult(unit,i(X0)))),
% 0.14/5.68 inference(paramodulation,[status(thm)],[f11,f42])).
% 0.14/5.68 fof(f63,plain,(
% 0.14/5.68 ![X0]: (mult(i(X0),mult(X0,X0))=X0)),
% 0.14/5.69 inference(forward_demodulation,[status(thm)],[f9,f57])).
% 0.14/5.69 fof(f64,plain,(
% 0.14/5.69 ![X0]: (mult(X0,mult(i(X0),i(X0)))=i(X0))),
% 0.14/5.69 inference(forward_demodulation,[status(thm)],[f9,f59])).
% 0.14/5.69 fof(f111,plain,(
% 0.14/5.69 ![X0,X1]: (mult(i(mult(X0,X0)),mult(X0,mult(X0,X1)))=mult(unit,X1))),
% 0.14/5.69 inference(paramodulation,[status(thm)],[f12,f40])).
% 0.14/5.69 fof(f135,plain,(
% 0.14/5.69 ![X0,X1]: (mult(i(mult(X0,X0)),mult(X0,mult(X0,X1)))=X1)),
% 0.14/5.69 inference(forward_demodulation,[status(thm)],[f9,f111])).
% 0.14/5.69 fof(f162,plain,(
% 0.14/5.69 ![X0]: (mult(i(mult(i(X0),i(X0))),mult(i(X0),X0))=mult(X0,X0))),
% 0.14/5.69 inference(paramodulation,[status(thm)],[f63,f135])).
% 0.14/5.69 fof(f165,plain,(
% 0.14/5.69 ![X0]: (mult(i(mult(X0,X0)),mult(X0,i(X0)))=mult(i(X0),i(X0)))),
% 0.14/5.69 inference(paramodulation,[status(thm)],[f64,f135])).
% 0.14/5.69 fof(f186,plain,(
% 0.14/5.69 ![X0]: (mult(i(mult(i(X0),i(X0))),unit)=mult(X0,X0))),
% 0.14/5.69 inference(forward_demodulation,[status(thm)],[f12,f162])).
% 0.14/5.69 fof(f188,plain,(
% 0.14/5.69 ![X0]: (i(mult(i(X0),i(X0)))=mult(X0,X0))),
% 0.14/5.69 inference(forward_demodulation,[status(thm)],[f8,f186])).
% 0.14/5.69 fof(f196,plain,(
% 0.14/5.69 ![X0]: (mult(i(mult(X0,X0)),unit)=mult(i(X0),i(X0)))),
% 0.14/5.69 inference(forward_demodulation,[status(thm)],[f11,f165])).
% 0.14/5.69 fof(f200,plain,(
% 0.14/5.69 ![X0]: (i(i(mult(X0,X0)))=mult(X0,X0))),
% 0.14/5.69 inference(backward_demodulation,[status(thm)],[f201,f188])).
% 0.14/5.69 fof(f201,plain,(
% 0.14/5.69 ![X0]: (i(mult(X0,X0))=mult(i(X0),i(X0)))),
% 0.14/5.69 inference(forward_demodulation,[status(thm)],[f8,f196])).
% 0.14/5.69 fof(f232,plain,(
% 0.14/5.69 ![X0,X1]: (mult(i(i(mult(X0,X0))),mult(i(X0),mult(i(X0),X1)))=X1)),
% 0.14/5.69 inference(paramodulation,[status(thm)],[f201,f135])).
% 0.14/5.69 fof(f254,plain,(
% 0.14/5.69 ![X0,X1]: (mult(mult(X0,X0),mult(i(X0),mult(i(X0),X1)))=X1)),
% 0.14/5.69 inference(forward_demodulation,[status(thm)],[f200,f232])).
% 0.14/5.69 fof(f255,plain,(
% 0.14/5.69 ![X0,X1]: (mult(X0,mult(X0,mult(i(X0),mult(i(X0),X1))))=X1)),
% 0.14/5.69 inference(forward_demodulation,[status(thm)],[f46,f254])).
% 0.14/5.69 fof(f258,plain,(
% 0.14/5.69 ![X0,X1]: (mult(X0,mult(i(X0),X1))=X1)),
% 0.14/5.69 inference(forward_demodulation,[status(thm)],[f47,f255])).
% 0.14/5.69 fof(f260,plain,(
% 0.14/5.69 $false|~sQ0_spl),
% 0.14/5.69 inference(resolution,[status(thm)],[f258,f17])).
% 0.14/5.69 fof(f278,plain,(
% 0.14/5.69 ![X0,X1]: (mult(i(mult(X0,X0)),mult(X0,X1))=mult(i(X0),X1))),
% 0.14/5.69 inference(paramodulation,[status(thm)],[f258,f135])).
% 0.14/5.69 fof(f280,plain,(
% 0.14/5.69 ~sQ0_spl),
% 0.14/5.69 inference(contradiction_clause,[status(thm)],[f260])).
% 0.14/5.69 fof(f292,plain,(
% 0.14/5.69 ![X0,X1]: (mult(i(X0),mult(X0,X1))=X1)),
% 0.14/5.69 inference(backward_demodulation,[status(thm)],[f278,f135])).
% 0.14/5.69 fof(f309,plain,(
% 0.14/5.69 ![X0]: (~mult(X0,mult(sK3_skl,sK3_skl))=sK2_skl|~sQ1_spl)),
% 0.14/5.69 inference(paramodulation,[status(thm)],[f42,f20])).
% 0.14/5.69 fof(f348,plain,(
% 0.14/5.69 ![X0,X1]: (~mult(X0,mult(X1,mult(X1,mult(sK3_skl,sK3_skl))))=sK2_skl|~sQ1_spl)),
% 0.14/5.69 inference(paramodulation,[status(thm)],[f40,f309])).
% 0.14/5.69 fof(f826,plain,(
% 0.14/5.69 ![X0]: (~mult(X0,mult(i(sK3_skl),sK3_skl))=sK2_skl|~sQ1_spl)),
% 0.14/5.69 inference(paramodulation,[status(thm)],[f292,f348])).
% 0.14/5.69 fof(f839,plain,(
% 0.14/5.69 ![X0]: (~mult(X0,unit)=sK2_skl|~sQ1_spl)),
% 0.14/5.69 inference(forward_demodulation,[status(thm)],[f12,f826])).
% 0.14/5.69 fof(f840,plain,(
% 0.14/5.69 ![X0]: (~X0=sK2_skl|~sQ1_spl)),
% 0.14/5.69 inference(forward_demodulation,[status(thm)],[f8,f839])).
% 0.14/5.69 fof(f841,plain,(
% 0.14/5.69 $false|~sQ1_spl),
% 0.14/5.69 inference(destructive_equality_resolution,[status(thm)],[f840])).
% 0.14/5.69 fof(f842,plain,(
% 0.14/5.69 ~sQ1_spl),
% 0.14/5.69 inference(contradiction_clause,[status(thm)],[f841])).
% 0.14/5.69 fof(f843,plain,(
% 0.14/5.69 $false),
% 0.14/5.69 inference(sat_refutation,[status(thm)],[f22,f280,f842])).
% 0.14/5.69 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/5.70 % Elapsed time: 0.105434 seconds
% 0.14/5.70 % CPU time: 0.561594 seconds
% 0.14/5.70 % Total memory used: 82.493 MB
% 0.14/5.70 % Net memory used: 82.032 MB
%------------------------------------------------------------------------------