%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : ALG404-1 : TPTP v8.1.0. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % Computer : n028.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 600s % DateTime : Thu Jul 14 17:21:24 EDT 2022 % Result : Unsatisfiable 25.91s 3.82s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.11 % Problem : ALG404-1 : TPTP v8.1.0. Released v4.1.0. % 0.10/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.12/0.33 % Computer : n028.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Wed Jun 8 03:50:01 EDT 2022 % 0.12/0.33 % CPUTime : % 25.91/3.82 % SZS status Unsatisfiable % 25.91/3.82 % SZS output begin IncompleteProof % 25.91/3.82 cnf(c0, axiom, % 25.91/3.82 ~v_thesis____). % 25.91/3.82 cnf(c1, plain, % 25.91/3.82 ~v_thesis____, % 25.91/3.82 inference(start, [], [c0])). % 25.91/3.82 % 25.91/3.82 cnf(c2, axiom, % 25.91/3.82 ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) | ~c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) | ~c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_RealDef_Oreal),v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) | v_thesis____). % 25.91/3.82 cnf(c3, plain, % 25.91/3.82 $false, % 25.91/3.82 inference(strict_predicate_extension, [], [c1, c2])). % 25.91/3.82 cnf(c4, plain, % 25.91/3.82 ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) | ~c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) | ~c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_RealDef_Oreal),v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal), % 25.91/3.82 inference(strict_predicate_extension, [], [c1, c2])). % 25.91/3.82 % 25.91/3.82 cnf(c5, axiom, % 25.91/3.82 ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__CHAINED__1(X1),tc_RealDef_Oreal)). % 25.91/3.82 cnf(a0, assumption, % 25.91/3.82 c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)). % 25.91/3.82 cnf(a1, assumption, % 25.91/3.82 X0 = v_sko__CHAINED__1(X1)). % 25.91/3.82 cnf(a2, assumption, % 25.91/3.82 tc_RealDef_Oreal = tc_RealDef_Oreal). % 25.91/3.82 cnf(c6, plain, % 25.91/3.82 ~c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) | ~c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_RealDef_Oreal),v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal), % 25.91/3.82 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c4, c5])). % 25.91/3.82 cnf(c7, plain, % 25.91/3.82 ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal), % 25.91/3.82 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c4, c5])). % 25.91/3.82 % 25.91/3.82 cnf(c8, axiom, % 25.91/3.82 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_RealDef_Oreal),v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)). % 25.91/3.82 cnf(a3, assumption, % 25.91/3.82 c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)). % 25.91/3.82 cnf(a4, assumption, % 25.91/3.82 X1 = c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_RealDef_Oreal),v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal)). % 25.91/3.82 cnf(a5, assumption, % 25.91/3.82 tc_RealDef_Oreal = tc_RealDef_Oreal). % 25.91/3.82 cnf(c9, plain, % 25.91/3.82 $false, % 25.91/3.82 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c7, c8])). % 25.91/3.82 cnf(c10, plain, % 25.91/3.82 $false, % 25.91/3.82 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c7, c8])). % 25.91/3.82 % 25.91/3.82 cnf(c11, axiom, % 25.91/3.82 ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) | c_HOL_Oord__class_Oless(v_sko__CHAINED__1(X2),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)). % 25.91/3.82 cnf(a6, assumption, % 25.91/3.82 X0 = v_sko__CHAINED__1(X2)). % 25.91/3.82 cnf(a7, assumption, % 25.91/3.82 c_HOL_Oone__class_Oone(tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal)). % 25.91/3.82 cnf(a8, assumption, % 25.91/3.82 tc_RealDef_Oreal = tc_RealDef_Oreal). % 25.91/3.82 cnf(c12, plain, % 25.91/3.82 ~c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_RealDef_Oreal),v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal), % 25.91/3.82 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c6, c11])). % 25.91/3.82 cnf(c13, plain, % 25.91/3.82 ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal), % 25.91/3.82 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c6, c11])). % 25.91/3.82 % 25.91/3.82 cnf(c14, plain, % 25.91/3.82 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)). % 25.91/3.82 cnf(a9, assumption, % 25.91/3.82 c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)). % 25.91/3.82 cnf(a10, assumption, % 25.91/3.82 X2 = X1). % 25.91/3.82 cnf(a11, assumption, % 25.91/3.82 tc_RealDef_Oreal = tc_RealDef_Oreal). % 25.91/3.82 cnf(c15, plain, % 25.91/3.82 $false, % 25.91/3.82 inference(predicate_reduction, [assumptions([a9, a10, a11])], [c13, c14])). % 25.91/3.82 % 25.91/3.82 cnf(c16, axiom, % 25.91/3.82 ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal) | c_HOL_Oord__class_Oless(v_sko__CHAINED__1(X3),X3,tc_RealDef_Oreal)). % 25.91/3.82 cnf(a12, assumption, % 25.91/3.82 X0 = v_sko__CHAINED__1(X3)). % 25.91/3.82 cnf(a13, assumption, % 25.91/3.82 c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_RealDef_Oreal),v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal) = X3). % 25.91/3.82 cnf(a14, assumption, % 25.91/3.82 tc_RealDef_Oreal = tc_RealDef_Oreal). % 25.91/3.82 cnf(c17, plain, % 25.91/3.82 $false, % 25.91/3.82 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c12, c16])). % 25.91/3.82 cnf(c18, plain, % 25.91/3.82 ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal), % 25.91/3.82 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c12, c16])). % 25.91/3.82 % 25.91/3.82 cnf(c19, plain, % 25.91/3.82 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)). % 25.91/3.82 cnf(a15, assumption, % 25.91/3.82 c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)). % 25.91/3.82 cnf(a16, assumption, % 25.91/3.82 X3 = X1). % 25.91/3.82 cnf(a17, assumption, % 25.91/3.82 tc_RealDef_Oreal = tc_RealDef_Oreal). % 25.91/3.82 cnf(c20, plain, % 25.91/3.82 $false, % 25.91/3.82 inference(predicate_reduction, [assumptions([a15, a16, a17])], [c18, c19])). % 25.91/3.82 % 25.91/3.82 cnf(c21, plain, % 25.91/3.82 $false, % 25.91/3.82 inference(constraint_solving, [ % 25.91/3.82 bind(X0, v_sko__CHAINED__1(X1)), % 25.91/3.82 bind(X1, c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_RealDef_Oreal),v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal)), % 25.91/3.82 bind(X2, c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_RealDef_Oreal),v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal)), % 25.91/3.82 bind(X3, c_HOL_Oinverse__class_Oinverse(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_RealDef_Oreal),v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal)) % 25.91/3.82 ], % 25.91/3.82 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17])). % 25.91/3.82 % 25.91/3.82 % SZS output end IncompleteProof %------------------------------------------------------------------------------