TSTP Solution File: ALG342-1 by lazyCoP---0.1
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%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : ALG342-1 : 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 : n019.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 17:21:11 EDT 2022
% Result : Unsatisfiable 0.19s 0.44s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG342-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.12/0.33 % Computer : n019.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 12:41:10 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 % SZS status Unsatisfiable
% 0.19/0.44 % SZS output begin IncompleteProof
% 0.19/0.44 cnf(c0, axiom,
% 0.19/0.44 ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) | ~c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_x(X0),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_RealDef_Oreal)).
% 0.19/0.44 cnf(c1, plain,
% 0.19/0.44 ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) | ~c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_x(X0),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_RealDef_Oreal),
% 0.19/0.44 inference(start, [], [c0])).
% 0.19/0.44
% 0.19/0.44 cnf(c2, axiom,
% 0.19/0.44 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_c____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(v_r,v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)).
% 0.19/0.44 cnf(a0, assumption,
% 0.19/0.44 c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)).
% 0.19/0.44 cnf(a1, assumption,
% 0.19/0.44 X0 = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_c____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(v_r,v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)).
% 0.19/0.44 cnf(a2, assumption,
% 0.19/0.44 tc_RealDef_Oreal = tc_RealDef_Oreal).
% 0.19/0.44 cnf(c3, plain,
% 0.19/0.44 ~c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_x(X0),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_RealDef_Oreal),
% 0.19/0.44 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])).
% 0.19/0.44 cnf(c4, plain,
% 0.19/0.44 $false,
% 0.19/0.44 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])).
% 0.19/0.44
% 0.19/0.44 cnf(c5, axiom,
% 0.19/0.44 ~c_lessequals(c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal) | c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_c____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(v_r,v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)).
% 0.19/0.44 cnf(a3, assumption,
% 0.19/0.44 c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_x(X0),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex)).
% 0.19/0.44 cnf(a4, assumption,
% 0.19/0.45 X0 = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_c____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(v_r,v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)).
% 0.19/0.45 cnf(a5, assumption,
% 0.19/0.45 tc_RealDef_Oreal = tc_RealDef_Oreal).
% 0.19/0.45 cnf(c6, plain,
% 0.19/0.45 $false,
% 0.19/0.45 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c3, c5])).
% 0.19/0.45 cnf(c7, plain,
% 0.19/0.45 ~c_lessequals(c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal),
% 0.19/0.45 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c3, c5])).
% 0.19/0.45
% 0.19/0.45 cnf(c8, axiom,
% 0.19/0.45 ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) | c_lessequals(c_RealVector_Onorm__class_Onorm(v_x(X2),tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal)).
% 0.19/0.45 cnf(a6, assumption,
% 0.19/0.45 c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex) = c_RealVector_Onorm__class_Onorm(v_x(X2),tc_Complex_Ocomplex)).
% 0.19/0.45 cnf(a7, assumption,
% 0.19/0.45 v_r = v_r).
% 0.19/0.45 cnf(a8, assumption,
% 0.19/0.45 tc_RealDef_Oreal = tc_RealDef_Oreal).
% 0.19/0.45 cnf(c9, plain,
% 0.19/0.45 $false,
% 0.19/0.45 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c7, c8])).
% 0.19/0.45 cnf(c10, plain,
% 0.19/0.45 ~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal),
% 0.19/0.45 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c7, c8])).
% 0.19/0.45
% 0.19/0.45 cnf(c11, plain,
% 0.19/0.45 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)).
% 0.19/0.45 cnf(a9, assumption,
% 0.19/0.45 c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)).
% 0.19/0.45 cnf(a10, assumption,
% 0.19/0.45 X2 = X0).
% 0.19/0.45 cnf(a11, assumption,
% 0.19/0.45 tc_RealDef_Oreal = tc_RealDef_Oreal).
% 0.19/0.45 cnf(c12, plain,
% 0.19/0.45 $false,
% 0.19/0.45 inference(predicate_reduction, [assumptions([a9, a10, a11])], [c10, c11])).
% 0.19/0.45
% 0.19/0.45 cnf(c13, plain,
% 0.19/0.45 $false,
% 0.19/0.45 inference(constraint_solving, [
% 0.19/0.45 bind(X0, c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_c____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(v_r,v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 0.19/0.45 bind(X1, v_x(X0)),
% 0.19/0.45 bind(X2, c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(v_c____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(v_r,v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal))
% 0.19/0.45 ],
% 0.19/0.45 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11])).
% 0.19/0.45
% 0.19/0.45 % SZS output end IncompleteProof
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