TSTP Solution File: ALG373-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ALG373-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n023.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 : 300s
% DateTime : Sun May 5 04:30:01 EDT 2024
% Result : Unsatisfiable 0.22s 0.50s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 25
% Syntax : Number of formulae : 79 ( 38 unt; 0 def)
% Number of atoms : 136 ( 63 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 119 ( 62 ~; 57 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-3 aty)
% Number of variables : 69 ( 69 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3501,plain,
$false,
inference(resolution,[],[f3411,f2575]) ).
fof(f2575,plain,
! [X27,X4] : c_HOL_Oord__class_Oless(v_r,v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X27,X4),tc_RealDef_Oreal),
inference(backward_demodulation,[],[f188,f2546]) ).
fof(f2546,plain,
c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = v_r,
inference(resolution,[],[f2545,f407]) ).
fof(f407,axiom,
class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Oordered__ab__group__add) ).
fof(f2545,plain,
( ~ class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal)
| c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = v_r ),
inference(trivial_inequality_removal,[],[f2543]) ).
fof(f2543,plain,
( v_r != v_r
| c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = v_r
| ~ class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal) ),
inference(superposition,[],[f112,f2489]) ).
fof(f2489,plain,
v_r = c_HOL_Ouminus__class_Ouminus(v_r,tc_RealDef_Oreal),
inference(forward_demodulation,[],[f2447,f1557]) ).
fof(f1557,plain,
v_r = c_HOL_Oabs__class_Oabs(v_r,tc_RealDef_Oreal),
inference(resolution,[],[f736,f270]) ).
fof(f270,axiom,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rp_0) ).
fof(f736,plain,
! [X0] :
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal) = X0 ),
inference(resolution,[],[f729,f232]) ).
fof(f232,axiom,
! [X4] :
( c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oabs__class_Oabs(X4,tc_RealDef_Oreal) = X4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__abs__def_1) ).
fof(f729,plain,
! [X0,X1] :
( ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
| ~ c_lessequals(X1,X0,tc_RealDef_Oreal) ),
inference(resolution,[],[f327,f431]) ).
fof(f431,axiom,
class_Orderings_Opreorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Orderings_Opreorder) ).
fof(f327,axiom,
! [X2,X0,X1] :
( ~ class_Orderings_Opreorder(X0)
| ~ c_HOL_Oord__class_Oless(X1,X2,X0)
| ~ c_lessequals(X2,X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__le__not__le_1) ).
fof(f2447,plain,
c_HOL_Oabs__class_Oabs(v_r,tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(v_r,tc_RealDef_Oreal),
inference(superposition,[],[f881,f2437]) ).
fof(f2437,plain,
v_r = v_x(v_r),
inference(duplicate_literal_removal,[],[f2429]) ).
fof(f2429,plain,
( v_r = v_x(v_r)
| v_r = v_x(v_r) ),
inference(resolution,[],[f2425,f1265]) ).
fof(f1265,plain,
! [X0] :
( c_lessequals(X0,v_x(X0),tc_RealDef_Oreal)
| v_x(X0) = X0 ),
inference(resolution,[],[f1239,f277]) ).
fof(f277,axiom,
! [X21,X9] :
( c_lessequals(X21,X9,tc_RealDef_Oreal)
| c_lessequals(X9,X21,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__le__linear_0) ).
fof(f1239,plain,
! [X0] :
( ~ c_lessequals(v_x(X0),X0,tc_RealDef_Oreal)
| v_x(X0) = X0 ),
inference(resolution,[],[f307,f351]) ).
fof(f351,axiom,
! [X33] : ~ c_HOL_Oord__class_Oless(v_x(X33),X33,tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f307,axiom,
! [X2,X1] :
( c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
| X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__less__def_2) ).
fof(f2425,plain,
( ~ c_lessequals(v_r,v_x(v_r),tc_RealDef_Oreal)
| v_r = v_x(v_r) ),
inference(superposition,[],[f2393,f1557]) ).
fof(f2393,plain,
! [X0] :
( ~ c_lessequals(c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal),v_x(X0),tc_RealDef_Oreal)
| v_x(X0) = X0 ),
inference(resolution,[],[f266,f1906]) ).
fof(f1906,plain,
! [X0] :
( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(v_x(X0),tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| v_x(X0) = X0 ),
inference(resolution,[],[f1903,f400]) ).
fof(f400,axiom,
class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add__abs) ).
fof(f1903,plain,
! [X0] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(v_x(X0),tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| v_x(X0) = X0 ),
inference(forward_demodulation,[],[f1885,f881]) ).
fof(f1885,plain,
! [X0] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(v_x(X0),tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| v_x(X0) = X0 ),
inference(resolution,[],[f95,f1239]) ).
fof(f95,axiom,
! [X10,X0,X11] :
( c_lessequals(X10,X11,X0)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(X10,X0),X11,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_abs__le__D1_0) ).
fof(f266,axiom,
! [X1,X4] :
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X4,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),X4,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_abs__le__interval__iff_0) ).
fof(f881,plain,
! [X0] : c_HOL_Ouminus__class_Ouminus(v_x(X0),tc_RealDef_Oreal) = c_HOL_Oabs__class_Oabs(v_x(X0),tc_RealDef_Oreal),
inference(superposition,[],[f869,f644]) ).
fof(f644,plain,
! [X0] : c_HOL_Ouminus__class_Ouminus(v_x(X0),tc_RealDef_Oreal) = c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(v_x(X0),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(resolution,[],[f232,f537]) ).
fof(f537,plain,
! [X0] : ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(v_x(X0),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(superposition,[],[f535,f350]) ).
fof(f350,axiom,
! [X33] : c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_xa(X33),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(v_x(X33),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f535,plain,
! [X0] : ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X0,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(resolution,[],[f259,f444]) ).
fof(f444,axiom,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector) ).
fof(f259,axiom,
! [X0,X1] :
( ~ class_RealVector_Oreal__normed__vector(X0)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X0),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_norm__not__less__zero_0) ).
fof(f869,plain,
! [X0] : c_HOL_Oabs__class_Oabs(X0,tc_RealDef_Oreal) = c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X0,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(resolution,[],[f105,f400]) ).
fof(f105,axiom,
! [X10,X0] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X0)
| c_HOL_Oabs__class_Oabs(X10,X0) = c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X10,X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_abs__minus__cancel_0) ).
fof(f112,axiom,
! [X10,X0] :
( c_HOL_Ouminus__class_Ouminus(X10,X0) != X10
| c_HOL_Ozero__class_Ozero(X0) = X10
| ~ class_OrderedGroup_Oordered__ab__group__add(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_neg__equal__zero_0) ).
fof(f188,axiom,
! [X27,X4] : c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X27,X4),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_poly__bound__exists_0) ).
fof(f3411,plain,
! [X0] : ~ c_HOL_Oord__class_Oless(v_r,X0,tc_RealDef_Oreal),
inference(backward_demodulation,[],[f1807,f3390]) ).
fof(f3390,plain,
! [X33] : v_r = c_HOL_Ouminus__class_Ouminus(v_x(X33),tc_RealDef_Oreal),
inference(forward_demodulation,[],[f3381,f2594]) ).
fof(f2594,plain,
v_r = c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(backward_demodulation,[],[f521,f2546]) ).
fof(f521,plain,
c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(resolution,[],[f214,f444]) ).
fof(f214,axiom,
! [X0] :
( ~ class_RealVector_Oreal__normed__vector(X0)
| c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_norm__zero_0) ).
fof(f3381,plain,
! [X33] : c_HOL_Ouminus__class_Ouminus(v_x(X33),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(backward_demodulation,[],[f3351,f3369]) ).
fof(f3369,plain,
c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_p,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(backward_demodulation,[],[f2689,f3350]) ).
fof(f3350,plain,
! [X0] : v_xa(X0) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(resolution,[],[f3346,f444]) ).
fof(f3346,plain,
! [X0] :
( ~ class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)
| v_xa(X0) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(trivial_inequality_removal,[],[f3345]) ).
fof(f3345,plain,
! [X0] :
( v_r != v_r
| v_xa(X0) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| ~ class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ),
inference(superposition,[],[f2555,f3034]) ).
fof(f3034,plain,
! [X0] : v_r = c_RealVector_Onorm__class_Onorm(v_xa(X0),tc_Complex_Ocomplex),
inference(resolution,[],[f2979,f444]) ).
fof(f2979,plain,
! [X0] :
( ~ class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)
| v_r = c_RealVector_Onorm__class_Onorm(v_xa(X0),tc_Complex_Ocomplex) ),
inference(resolution,[],[f2586,f1359]) ).
fof(f1359,plain,
! [X0] :
( ~ c_lessequals(v_r,c_RealVector_Onorm__class_Onorm(v_xa(X0),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| v_r = c_RealVector_Onorm__class_Onorm(v_xa(X0),tc_Complex_Ocomplex) ),
inference(resolution,[],[f318,f349]) ).
fof(f349,axiom,
! [X33] : c_lessequals(c_RealVector_Onorm__class_Onorm(v_xa(X33),tc_Complex_Ocomplex),v_r,tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f318,axiom,
! [X21,X9] :
( ~ c_lessequals(X21,X9,tc_RealDef_Oreal)
| ~ c_lessequals(X9,X21,tc_RealDef_Oreal)
| X9 = X21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__le__antisym_0) ).
fof(f2586,plain,
! [X0,X1] :
( c_lessequals(v_r,c_RealVector_Onorm__class_Onorm(X1,X0),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X0) ),
inference(backward_demodulation,[],[f258,f2546]) ).
fof(f258,axiom,
! [X0,X1] :
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X0),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_norm__ge__zero_0) ).
fof(f2555,plain,
! [X0,X1] :
( c_RealVector_Onorm__class_Onorm(X1,X0) != v_r
| c_HOL_Ozero__class_Ozero(X0) = X1
| ~ class_RealVector_Oreal__normed__vector(X0) ),
inference(backward_demodulation,[],[f14,f2546]) ).
fof(f14,axiom,
! [X0,X1] :
( c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) != c_RealVector_Onorm__class_Onorm(X1,X0)
| c_HOL_Ozero__class_Ozero(X0) = X1
| ~ class_RealVector_Oreal__normed__vector(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_norm__eq__zero_0) ).
fof(f2689,plain,
c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_p,v_xa(v_r),tc_Complex_Ocomplex),
inference(backward_demodulation,[],[f1612,f2546]) ).
fof(f1612,plain,
c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_p,v_xa(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),tc_Complex_Ocomplex),
inference(resolution,[],[f1611,f444]) ).
fof(f1611,plain,
( ~ class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)
| c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_p,v_xa(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),tc_Complex_Ocomplex) ),
inference(trivial_inequality_removal,[],[f1610]) ).
fof(f1610,plain,
( c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_p,v_xa(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),tc_Complex_Ocomplex)
| ~ class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ),
inference(forward_demodulation,[],[f1609,f513]) ).
fof(f513,plain,
c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(resolution,[],[f101,f407]) ).
fof(f101,axiom,
! [X0] :
( ~ class_OrderedGroup_Oordered__ab__group__add(X0)
| c_HOL_Ozero__class_Ozero(X0) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_neg__equal__zero_1) ).
fof(f1609,plain,
( c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Polynomial_Opoly(v_p,v_xa(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),tc_Complex_Ocomplex)
| ~ class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ),
inference(superposition,[],[f1604,f942]) ).
fof(f942,plain,
c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = v_x(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),
inference(resolution,[],[f938,f407]) ).
fof(f938,plain,
( ~ class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal)
| c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = v_x(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
inference(trivial_inequality_removal,[],[f937]) ).
fof(f937,plain,
( v_x(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) != v_x(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))
| c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = v_x(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))
| ~ class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal) ),
inference(superposition,[],[f112,f892]) ).
fof(f892,plain,
v_x(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(v_x(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),tc_RealDef_Oreal),
inference(superposition,[],[f881,f645]) ).
fof(f645,plain,
v_x(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Oabs__class_Oabs(v_x(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),tc_RealDef_Oreal),
inference(resolution,[],[f232,f351]) ).
fof(f1604,plain,
! [X0] :
( c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(v_x(X0),tc_RealDef_Oreal)
| c_Polynomial_Opoly(v_p,v_xa(X0),tc_Complex_Ocomplex) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| ~ class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ),
inference(superposition,[],[f14,f350]) ).
fof(f3351,plain,
! [X33] : c_HOL_Ouminus__class_Ouminus(v_x(X33),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
inference(backward_demodulation,[],[f350,f3350]) ).
fof(f1807,plain,
! [X0] : ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(v_x(X0),tc_RealDef_Oreal),X0,tc_RealDef_Oreal),
inference(resolution,[],[f1799,f419]) ).
fof(f419,axiom,
class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom) ).
fof(f1799,plain,
! [X0] :
( ~ class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(v_x(X0),tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
inference(forward_demodulation,[],[f1758,f881]) ).
fof(f1758,plain,
! [X0] :
( ~ class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(v_x(X0),tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
inference(resolution,[],[f77,f351]) ).
fof(f77,axiom,
! [X10,X0,X11] :
( c_HOL_Oord__class_Oless(X10,X11,X0)
| ~ class_Ring__and__Field_Oordered__idom(X0)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X10,X0),X11,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_abs__less__iff_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : ALG373-1 : TPTP v8.1.2. Released v4.1.0.
% 0.08/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n023.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 20:02:23 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (18181)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.40 % (18184)WARNING: value z3 for option sas not known
% 0.15/0.40 % (18182)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.40 % (18185)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.40 % (18184)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.40 % (18183)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.40 % (18186)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.40 % (18187)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.40 % (18188)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.22/0.44 TRYING [1]
% 0.22/0.44 TRYING [2]
% 0.22/0.50 % (18187)First to succeed.
% 0.22/0.50 % (18187)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-18181"
% 0.22/0.50 % (18187)Refutation found. Thanks to Tanya!
% 0.22/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.50 % (18187)------------------------------
% 0.22/0.50 % (18187)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.50 % (18187)Termination reason: Refutation
% 0.22/0.50
% 0.22/0.50 % (18187)Memory used [KB]: 2066
% 0.22/0.50 % (18187)Time elapsed: 0.100 s
% 0.22/0.50 % (18187)Instructions burned: 158 (million)
% 0.22/0.50 % (18181)Success in time 0.133 s
%------------------------------------------------------------------------------