%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWW238+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 03:08:51 PM UTC 2026
% Result : Theorem 90.32s 12.09s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWW238+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.46 % Computer : n007.cluster.edu
% 0.21/0.46 % Model : x86_64 x86_64
% 0.21/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.46 % Memory : 8046.5625MB
% 0.21/0.46 % OS : Linux 6.8.0-71-generic
% 0.21/0.46 % CPULimit : 300
% 0.21/0.46 % WCLimit : 300
% 0.21/0.46 % DateTime : Mon Sep 21 09:40:50 UTC 2026
% 0.21/0.46 % CPUTime :
% 0.35/0.62 % Drodi V4.1.1
% 90.32/12.09 % Refutation found
% 90.32/12.09 % SZS status Theorem for theBenchmark: Theorem is valid
% 90.32/12.09 % SZS output start CNFRefutation for theBenchmark
% 90.32/12.09 fof(f3,axiom,(
% 90.32/12.09 (! [V_z,V_w] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,V_w),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,V_w,V_z)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,V_z))) )),
% 90.32/12.09 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 90.32/12.09 fof(f66,axiom,(
% 90.32/12.09 (! [V_c,V_a,T_a] :( class_Rings_Ocomm__semiring__1(T_a)=> c_Groups_Oplus__class_Oplus(T_a,V_a,V_c) = c_Groups_Oplus__class_Oplus(T_a,V_c,V_a) ) )),
% 90.32/12.09 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 90.32/12.09 fof(f1188,axiom,(
% 90.32/12.09 class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
% 90.32/12.09 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 90.32/12.09 fof(f1272,conjecture,(
% 90.32/12.09 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),v_c____)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_aa____,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),v_c____))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____))) ),
% 90.32/12.09 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 90.32/12.09 fof(f1273,negated_conjecture,(
% 90.32/12.09 ~(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),v_c____)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_aa____,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),v_c____))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____))) )),
% 90.32/12.09 inference(negated_conjecture,[status(cth)],[f1272])).
% 90.32/12.09 fof(f1278,plain,(
% 90.32/12.09 ![X0,X1]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,X1)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1))))),
% 90.32/12.09 inference(cnf_transformation,[status(thm)],[f3])).
% 90.32/12.09 fof(f1462,plain,(
% 90.32/12.09 ![V_c,V_a,T_a]: (~class_Rings_Ocomm__semiring__1(T_a)|c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)=c_Groups_Oplus__class_Oplus(T_a,V_c,V_a))),
% 90.32/12.09 inference(pre_NNF_transformation,[status(thm)],[f66])).
% 90.32/12.09 fof(f1463,plain,(
% 90.32/12.09 ![T_a]: (~class_Rings_Ocomm__semiring__1(T_a)|(![V_c,V_a]: c_Groups_Oplus__class_Oplus(T_a,V_a,V_c)=c_Groups_Oplus__class_Oplus(T_a,V_c,V_a)))),
% 90.32/12.09 inference(miniscoping,[status(thm)],[f1462])).
% 90.32/12.09 fof(f1464,plain,(
% 90.32/12.09 ![X0,X1,X2]: (~class_Rings_Ocomm__semiring__1(X0)|c_Groups_Oplus__class_Oplus(X0,X1,X2)=c_Groups_Oplus__class_Oplus(X0,X2,X1))),
% 90.32/12.09 inference(cnf_transformation,[status(thm)],[f1463])).
% 90.32/12.09 fof(f4768,plain,(
% 90.32/12.09 class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex)),
% 90.32/12.09 inference(cnf_transformation,[status(thm)],[f1188])).
% 90.32/12.09 fof(f4910,plain,(
% 90.32/12.09 ~c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),v_c____)),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_aa____,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),v_z____),v_c____))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_aa____)))),
% 90.32/12.09 inference(cnf_transformation,[status(thm)],[f1273])).
% 90.32/12.09 fof(f7989,plain,(
% 90.32/12.09 ![X0,X1]: (c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X0,X1)=c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X1,X0))),
% 90.32/12.09 inference(resolution,[status(thm)],[f4768,f1464])).
% 90.32/12.09 fof(f12260,plain,(
% 90.32/12.09 ![X0,X1]: (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X1,X0)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1))))),
% 86.48/12.15 inference(paramodulation,[status(thm)],[f7989,f1278])).
% 86.48/12.15 fof(f12265,plain,(
% 86.48/12.15 $false),
% 86.48/12.15 inference(backward_subsumption_resolution,[status(thm)],[f4910,f12260])).
% 86.48/12.15 % SZS output end CNFRefutation for theBenchmark.p
% 86.48/12.18 % Elapsed time: 11.691429 seconds
% 86.48/12.18 % CPU time: 91.355830 seconds
% 86.48/12.18 % Total memory used: 649.764 MB
% 86.48/12.18 % Net memory used: 610.633 MB
%------------------------------------------------------------------------------