TSTP Solution File: ANA022-2 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ANA022-2 : TPTP v8.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n004.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 : Mon May 20 18:41:07 EDT 2024
% Result : Unsatisfiable 64.09s 9.51s
% Output : Refutation 64.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 26
% Syntax : Number of formulae : 99 ( 59 unt; 0 def)
% Number of atoms : 157 ( 51 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 109 ( 51 ~; 58 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-3 aty)
% Number of variables : 144 ( 144 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f184483,plain,
$false,
inference(subsumption_resolution,[],[f184482,f53]) ).
fof(f53,plain,
! [X0] : c_lessequals(X0,X0,t_b),
inference(factoring,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
( c_lessequals(X0,X1,t_b)
| c_lessequals(X1,X0,t_b) ),
inference(subsumption_resolution,[],[f51,f34]) ).
fof(f34,plain,
class_Orderings_Oorder(t_b),
inference(unit_resulting_resolution,[],[f32,f20]) ).
fof(f20,axiom,
! [X9] :
( ~ class_LOrder_Ojoin__semilorder(X9)
| class_Orderings_Oorder(X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_LOrder_Ojoin__semilorder_1) ).
fof(f32,plain,
class_LOrder_Ojoin__semilorder(t_b),
inference(unit_resulting_resolution,[],[f3,f25]) ).
fof(f25,axiom,
! [X9] :
( ~ class_Ring__and__Field_Oordered__idom(X9)
| class_LOrder_Ojoin__semilorder(X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_35) ).
fof(f3,axiom,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f51,plain,
! [X0,X1] :
( ~ class_Orderings_Oorder(t_b)
| c_lessequals(X0,X1,t_b)
| c_lessequals(X1,X0,t_b) ),
inference(resolution,[],[f19,f50]) ).
fof(f50,plain,
! [X0,X1] :
( c_less(X0,X1,t_b)
| c_lessequals(X1,X0,t_b) ),
inference(resolution,[],[f16,f30]) ).
fof(f30,plain,
class_Orderings_Olinorder(t_b),
inference(unit_resulting_resolution,[],[f3,f24]) ).
fof(f24,axiom,
! [X9] :
( ~ class_Ring__and__Field_Oordered__idom(X9)
| class_Orderings_Olinorder(X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_33) ).
fof(f16,axiom,
! [X1,X6,X5] :
( ~ class_Orderings_Olinorder(X1)
| c_less(X5,X6,X1)
| c_lessequals(X6,X5,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Olinorder__not__le_0) ).
fof(f19,axiom,
! [X1,X6,X5] :
( ~ c_less(X6,X5,X1)
| ~ class_Orderings_Oorder(X1)
| c_lessequals(X6,X5,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__less__imp__le_0) ).
fof(f184482,plain,
~ c_lessequals(c_minus(v_f(v_x),v_g(v_x),t_b),c_minus(v_f(v_x),v_g(v_x),t_b),t_b),
inference(forward_demodulation,[],[f184281,f52161]) ).
fof(f52161,plain,
c_minus(v_f(v_x),v_g(v_x),t_b) = c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),
inference(unit_resulting_resolution,[],[f53,f49457,f365]) ).
fof(f365,plain,
! [X0,X1] :
( ~ c_lessequals(c_0,X0,t_b)
| c_HOL_Oabs(X1,t_b) = X1
| c_lessequals(X1,X0,t_b) ),
inference(forward_demodulation,[],[f364,f279]) ).
fof(f279,plain,
! [X0] : c_uminus(c_uminus(X0,t_b),t_b) = X0,
inference(forward_demodulation,[],[f278,f46]) ).
fof(f46,plain,
! [X0] : c_plus(c_0,X0,t_b) = X0,
inference(unit_resulting_resolution,[],[f28,f8]) ).
fof(f8,axiom,
! [X1,X5] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| c_plus(c_0,X5,X1) = X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocomm__monoid__add__class_Oaxioms_0) ).
fof(f28,plain,
class_OrderedGroup_Ocomm__monoid__add(t_b),
inference(unit_resulting_resolution,[],[f3,f23]) ).
fof(f23,axiom,
! [X9] :
( ~ class_Ring__and__Field_Oordered__idom(X9)
| class_OrderedGroup_Ocomm__monoid__add(X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_23) ).
fof(f278,plain,
! [X0] : c_plus(c_0,X0,t_b) = c_uminus(c_uminus(X0,t_b),t_b),
inference(forward_demodulation,[],[f270,f115]) ).
fof(f115,plain,
! [X0,X1] : c_plus(X0,X1,t_b) = c_minus(X0,c_uminus(X1,t_b),t_b),
inference(unit_resulting_resolution,[],[f36,f13]) ).
fof(f13,axiom,
! [X2,X1,X4] :
( ~ class_OrderedGroup_Oab__group__add(X1)
| c_plus(X2,X4,X1) = c_minus(X2,c_uminus(X4,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Odiff__minus__eq__add_0) ).
fof(f36,plain,
class_OrderedGroup_Oab__group__add(t_b),
inference(unit_resulting_resolution,[],[f3,f26]) ).
fof(f26,axiom,
! [X9] :
( ~ class_Ring__and__Field_Oordered__idom(X9)
| class_OrderedGroup_Oab__group__add(X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_4) ).
fof(f270,plain,
! [X0] : c_minus(c_0,c_uminus(X0,t_b),t_b) = c_uminus(c_uminus(X0,t_b),t_b),
inference(superposition,[],[f164,f252]) ).
fof(f252,plain,
! [X0] : c_uminus(X0,t_b) = c_minus(c_uminus(X0,t_b),c_0,t_b),
inference(superposition,[],[f239,f179]) ).
fof(f179,plain,
! [X0] : c_plus(X0,c_0,t_b) = c_minus(X0,c_0,t_b),
inference(superposition,[],[f115,f166]) ).
fof(f166,plain,
c_0 = c_uminus(c_0,t_b),
inference(superposition,[],[f164,f48]) ).
fof(f48,plain,
! [X0] : c_0 = c_minus(X0,X0,t_b),
inference(unit_resulting_resolution,[],[f36,f14]) ).
fof(f14,axiom,
! [X2,X1] :
( ~ class_OrderedGroup_Oab__group__add(X1)
| c_0 = c_minus(X2,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Odiff__self_0) ).
fof(f239,plain,
! [X0] : c_uminus(X0,t_b) = c_plus(c_uminus(X0,t_b),c_0,t_b),
inference(forward_demodulation,[],[f238,f46]) ).
fof(f238,plain,
! [X0] : c_plus(c_uminus(X0,t_b),c_0,t_b) = c_uminus(c_plus(c_0,X0,t_b),t_b),
inference(forward_demodulation,[],[f225,f174]) ).
fof(f174,plain,
c_0 = c_HOL_Oabs(c_0,t_b),
inference(superposition,[],[f166,f57]) ).
fof(f57,plain,
c_HOL_Oabs(c_0,t_b) = c_uminus(c_0,t_b),
inference(unit_resulting_resolution,[],[f38,f53,f6]) ).
fof(f6,axiom,
! [X2,X1] :
( ~ c_lessequals(X2,c_0,X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| c_HOL_Oabs(X2,X1) = c_uminus(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__of__nonpos_0) ).
fof(f38,plain,
class_OrderedGroup_Olordered__ab__group__abs(t_b),
inference(unit_resulting_resolution,[],[f3,f27]) ).
fof(f27,axiom,
! [X9] :
( ~ class_Ring__and__Field_Oordered__idom(X9)
| class_OrderedGroup_Olordered__ab__group__abs(X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).
fof(f225,plain,
! [X0] : c_plus(c_uminus(X0,t_b),c_0,t_b) = c_uminus(c_plus(c_HOL_Oabs(c_0,t_b),X0,t_b),t_b),
inference(superposition,[],[f167,f117]) ).
fof(f117,plain,
! [X0] : c_plus(X0,c_0,t_b) = c_minus(X0,c_HOL_Oabs(c_0,t_b),t_b),
inference(superposition,[],[f115,f57]) ).
fof(f167,plain,
! [X0,X1] : c_uminus(c_plus(X0,X1,t_b),t_b) = c_minus(c_uminus(X1,t_b),X0,t_b),
inference(superposition,[],[f164,f115]) ).
fof(f164,plain,
! [X0,X1] : c_minus(X0,X1,t_b) = c_uminus(c_minus(X1,X0,t_b),t_b),
inference(unit_resulting_resolution,[],[f36,f15]) ).
fof(f15,axiom,
! [X2,X1,X4] :
( ~ class_OrderedGroup_Oab__group__add(X1)
| c_uminus(c_minus(X2,X4,X1),X1) = c_minus(X4,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ominus__diff__eq_0) ).
fof(f364,plain,
! [X0,X1] :
( ~ c_lessequals(c_0,X0,t_b)
| c_lessequals(X1,X0,t_b)
| c_HOL_Oabs(X1,t_b) = c_uminus(c_uminus(X1,t_b),t_b) ),
inference(subsumption_resolution,[],[f344,f34]) ).
fof(f344,plain,
! [X0,X1] :
( ~ class_Orderings_Oorder(t_b)
| ~ c_lessequals(c_0,X0,t_b)
| c_lessequals(X1,X0,t_b)
| c_HOL_Oabs(X1,t_b) = c_uminus(c_uminus(X1,t_b),t_b) ),
inference(resolution,[],[f18,f124]) ).
fof(f124,plain,
! [X0] :
( c_lessequals(X0,c_0,t_b)
| c_HOL_Oabs(X0,t_b) = c_uminus(c_uminus(X0,t_b),t_b) ),
inference(forward_demodulation,[],[f123,f54]) ).
fof(f54,plain,
! [X0] : c_HOL_Oabs(X0,t_b) = c_HOL_Oabs(c_uminus(X0,t_b),t_b),
inference(unit_resulting_resolution,[],[f38,f5]) ).
fof(f5,axiom,
! [X2,X1] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| c_HOL_Oabs(X2,X1) = c_HOL_Oabs(c_uminus(X2,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__minus__cancel_0) ).
fof(f123,plain,
! [X0] :
( c_lessequals(X0,c_0,t_b)
| c_HOL_Oabs(c_uminus(X0,t_b),t_b) = c_uminus(c_uminus(X0,t_b),t_b) ),
inference(forward_demodulation,[],[f122,f46]) ).
fof(f122,plain,
! [X0] :
( c_lessequals(c_plus(c_0,X0,t_b),c_0,t_b)
| c_HOL_Oabs(c_uminus(X0,t_b),t_b) = c_uminus(c_uminus(X0,t_b),t_b) ),
inference(superposition,[],[f76,f115]) ).
fof(f76,plain,
! [X0] :
( c_lessequals(c_minus(c_0,X0,t_b),c_0,t_b)
| c_HOL_Oabs(X0,t_b) = c_uminus(X0,t_b) ),
inference(subsumption_resolution,[],[f71,f41]) ).
fof(f41,plain,
class_OrderedGroup_Opordered__ab__group__add(t_b),
inference(unit_resulting_resolution,[],[f38,f21]) ).
fof(f21,axiom,
! [X9] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X9)
| class_OrderedGroup_Opordered__ab__group__add(X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_1) ).
fof(f71,plain,
! [X0] :
( ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
| c_lessequals(c_minus(c_0,X0,t_b),c_0,t_b)
| c_HOL_Oabs(X0,t_b) = c_uminus(X0,t_b) ),
inference(resolution,[],[f12,f61]) ).
fof(f61,plain,
! [X0] :
( c_lessequals(c_0,X0,t_b)
| c_HOL_Oabs(X0,t_b) = c_uminus(X0,t_b) ),
inference(subsumption_resolution,[],[f58,f38]) ).
fof(f58,plain,
! [X0] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| c_HOL_Oabs(X0,t_b) = c_uminus(X0,t_b)
| c_lessequals(c_0,X0,t_b) ),
inference(resolution,[],[f6,f52]) ).
fof(f12,axiom,
! [X2,X1,X4] :
( ~ c_lessequals(X2,X4,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| c_lessequals(c_minus(X2,X4,X1),c_0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Odiff__le__0__iff__le_1) ).
fof(f18,axiom,
! [X1,X8,X6,X5] :
( ~ c_lessequals(X6,X5,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X5,X8,X1)
| c_lessequals(X6,X8,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oorder__trans_0) ).
fof(f49457,plain,
~ c_lessequals(c_minus(v_f(v_x),v_g(v_x),t_b),c_0,t_b),
inference(unit_resulting_resolution,[],[f34,f15804,f48880,f18]) ).
fof(f48880,plain,
~ c_lessequals(c_minus(v_k(v_x),v_g(v_x),t_b),c_0,t_b),
inference(unit_resulting_resolution,[],[f30,f53,f48804,f17]) ).
fof(f17,axiom,
! [X8,X6,X7,X5] :
( ~ c_lessequals(X6,X8,X7)
| ~ class_Orderings_Olinorder(X7)
| ~ c_lessequals(X5,X8,X7)
| c_lessequals(c_Orderings_Omax(X6,X5,X7),X8,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_2) ).
fof(f48804,plain,
~ c_lessequals(c_Orderings_Omax(c_minus(v_k(v_x),v_g(v_x),t_b),c_0,t_b),c_0,t_b),
inference(unit_resulting_resolution,[],[f34,f44,f2,f18]) ).
fof(f2,axiom,
~ c_lessequals(c_Orderings_Omax(c_minus(v_k(v_x),v_g(v_x),t_b),c_0,t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f44,plain,
! [X0] : c_lessequals(c_0,c_HOL_Oabs(X0,t_b),t_b),
inference(unit_resulting_resolution,[],[f38,f4]) ).
fof(f4,axiom,
! [X2,X1] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| c_lessequals(c_0,c_HOL_Oabs(X2,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__ge__zero_0) ).
fof(f15804,plain,
! [X0,X1] : c_lessequals(c_minus(v_k(X0),X1,t_b),c_minus(v_f(X0),X1,t_b),t_b),
inference(forward_demodulation,[],[f15738,f284]) ).
fof(f284,plain,
! [X0,X1] : c_minus(X1,X0,t_b) = c_plus(X1,c_uminus(X0,t_b),t_b),
inference(superposition,[],[f115,f279]) ).
fof(f15738,plain,
! [X0,X1] : c_lessequals(c_minus(v_k(X0),X1,t_b),c_plus(v_f(X0),c_uminus(X1,t_b),t_b),t_b),
inference(superposition,[],[f15498,f284]) ).
fof(f15498,plain,
! [X0,X1] : c_lessequals(c_plus(v_k(X0),X1,t_b),c_plus(v_f(X0),X1,t_b),t_b),
inference(unit_resulting_resolution,[],[f4273,f10122]) ).
fof(f10122,plain,
! [X2,X0,X1] :
( ~ c_lessequals(c_minus(X2,X1,t_b),X0,t_b)
| c_lessequals(X2,c_plus(X0,X1,t_b),t_b) ),
inference(superposition,[],[f1900,f10032]) ).
fof(f10032,plain,
! [X0,X1] : c_minus(c_plus(X1,X0,t_b),X0,t_b) = X1,
inference(forward_demodulation,[],[f9956,f279]) ).
fof(f9956,plain,
! [X0,X1] : c_uminus(c_uminus(X1,t_b),t_b) = c_minus(c_plus(X1,X0,t_b),X0,t_b),
inference(superposition,[],[f164,f9842]) ).
fof(f9842,plain,
! [X0,X1] : c_uminus(X1,t_b) = c_minus(X0,c_plus(X1,X0,t_b),t_b),
inference(forward_demodulation,[],[f9841,f307]) ).
fof(f307,plain,
! [X0] : c_uminus(X0,t_b) = c_minus(c_0,X0,t_b),
inference(superposition,[],[f164,f290]) ).
fof(f290,plain,
! [X0] : c_minus(X0,c_0,t_b) = X0,
inference(superposition,[],[f252,f279]) ).
fof(f9841,plain,
! [X0,X1] : c_minus(c_0,X1,t_b) = c_minus(X0,c_plus(X1,X0,t_b),t_b),
inference(forward_demodulation,[],[f9840,f115]) ).
fof(f9840,plain,
! [X0,X1] : c_minus(c_0,X1,t_b) = c_minus(X0,c_minus(X1,c_uminus(X0,t_b),t_b),t_b),
inference(forward_demodulation,[],[f9759,f307]) ).
fof(f9759,plain,
! [X0,X1] : c_minus(c_0,X1,t_b) = c_minus(X0,c_minus(X1,c_minus(c_0,X0,t_b),t_b),t_b),
inference(superposition,[],[f9441,f306]) ).
fof(f306,plain,
! [X0] : c_0 = c_plus(X0,c_minus(c_0,X0,t_b),t_b),
inference(superposition,[],[f171,f290]) ).
fof(f171,plain,
! [X0,X1] : c_0 = c_plus(c_minus(X1,X0,t_b),c_minus(X0,X1,t_b),t_b),
inference(superposition,[],[f118,f164]) ).
fof(f118,plain,
! [X0] : c_0 = c_plus(c_uminus(X0,t_b),X0,t_b),
inference(superposition,[],[f115,f48]) ).
fof(f9441,plain,
! [X2,X0,X1] : c_minus(X0,c_minus(X2,X1,t_b),t_b) = c_minus(c_plus(X0,X1,t_b),X2,t_b),
inference(forward_demodulation,[],[f9439,f172]) ).
fof(f172,plain,
! [X2,X0,X1] : c_plus(X2,c_minus(X0,X1,t_b),t_b) = c_minus(X2,c_minus(X1,X0,t_b),t_b),
inference(superposition,[],[f115,f164]) ).
fof(f9439,plain,
! [X2,X0,X1] : c_plus(X0,c_minus(X1,X2,t_b),t_b) = c_minus(c_plus(X0,X1,t_b),X2,t_b),
inference(unit_resulting_resolution,[],[f36,f9]) ).
fof(f9,axiom,
! [X2,X3,X1,X4] :
( ~ class_OrderedGroup_Oab__group__add(X1)
| c_plus(X2,c_minus(X4,X3,X1),X1) = c_minus(c_plus(X2,X4,X1),X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__2_0) ).
fof(f1900,plain,
! [X2,X0,X1] :
( ~ c_lessequals(c_minus(X0,X1,t_b),c_minus(X2,X1,t_b),t_b)
| c_lessequals(X0,X2,t_b) ),
inference(forward_demodulation,[],[f1899,f284]) ).
fof(f1899,plain,
! [X2,X0,X1] :
( ~ c_lessequals(c_minus(X0,X1,t_b),c_plus(X2,c_uminus(X1,t_b),t_b),t_b)
| c_lessequals(X0,X2,t_b) ),
inference(subsumption_resolution,[],[f1847,f40]) ).
fof(f40,plain,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(t_b),
inference(unit_resulting_resolution,[],[f38,f22]) ).
fof(f22,axiom,
! [X9] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X9)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_6) ).
fof(f1847,plain,
! [X2,X0,X1] :
( ~ c_lessequals(c_minus(X0,X1,t_b),c_plus(X2,c_uminus(X1,t_b),t_b),t_b)
| c_lessequals(X0,X2,t_b)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(t_b) ),
inference(superposition,[],[f7,f284]) ).
fof(f7,axiom,
! [X2,X3,X1,X4] :
( ~ c_lessequals(c_plus(X2,X3,X1),c_plus(X4,X3,X1),X1)
| c_lessequals(X2,X4,X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oadd__le__cancel__right_0) ).
fof(f4273,plain,
! [X0,X1] : c_lessequals(c_minus(c_plus(v_k(X0),X1,t_b),X1,t_b),v_f(X0),t_b),
inference(unit_resulting_resolution,[],[f34,f1,f4147,f18]) ).
fof(f4147,plain,
! [X0,X1] : c_lessequals(c_minus(c_plus(X0,X1,t_b),X1,t_b),X0,t_b),
inference(unit_resulting_resolution,[],[f41,f53,f11]) ).
fof(f11,axiom,
! [X2,X3,X1,X4] :
( ~ c_lessequals(X2,c_plus(X3,X4,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| c_lessequals(c_minus(X2,X4,X1),X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__8_1) ).
fof(f1,axiom,
! [X0] : c_lessequals(v_k(X0),v_f(X0),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f184281,plain,
~ c_lessequals(c_minus(v_f(v_x),v_g(v_x),t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b),
inference(unit_resulting_resolution,[],[f34,f15804,f48717,f18]) ).
fof(f48717,plain,
~ c_lessequals(c_minus(v_k(v_x),v_g(v_x),t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b),
inference(unit_resulting_resolution,[],[f30,f44,f2,f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : ANA022-2 : TPTP v8.2.0. Released v3.2.0.
% 0.10/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n004.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon May 20 07:54:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (1421)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.39 % (1424)WARNING: value z3 for option sas not known
% 0.14/0.39 % (1423)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.39 % (1425)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.39 % (1422)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.39 % (1424)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)
% 0.14/0.39 % (1426)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)
% 0.14/0.39 % (1427)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)
% 0.14/0.39 % (1428)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)
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.14/0.40 TRYING [3]
% 0.14/0.40 TRYING [1]
% 0.21/0.41 TRYING [2]
% 0.21/0.42 TRYING [4]
% 0.21/0.43 TRYING [3]
% 0.21/0.46 TRYING [5]
% 0.21/0.54 TRYING [4]
% 0.21/0.55 TRYING [6]
% 2.68/0.76 TRYING [7]
% 4.16/1.02 TRYING [5]
% 5.77/1.18 TRYING [8]
% 7.98/1.49 TRYING [1]
% 7.98/1.49 TRYING [2]
% 7.98/1.49 TRYING [3]
% 7.98/1.50 TRYING [4]
% 8.35/1.54 TRYING [5]
% 8.86/1.63 TRYING [6]
% 10.35/1.85 TRYING [7]
% 11.56/2.04 TRYING [9]
% 13.71/2.34 TRYING [8]
% 17.95/2.91 TRYING [6]
% 21.30/3.45 TRYING [9]
% 23.94/3.77 TRYING [10]
% 37.43/5.81 TRYING [10]
% 59.11/8.82 TRYING [11]
% 63.33/9.50 % (1428)First to succeed.
% 63.33/9.51 % (1428)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1421"
% 64.09/9.51 % (1428)Refutation found. Thanks to Tanya!
% 64.09/9.51 % SZS status Unsatisfiable for theBenchmark
% 64.09/9.51 % SZS output start Proof for theBenchmark
% See solution above
% 64.09/9.51 % (1428)------------------------------
% 64.09/9.51 % (1428)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 64.09/9.51 % (1428)Termination reason: Refutation
% 64.09/9.51
% 64.09/9.51 % (1428)Memory used [KB]: 29067
% 64.09/9.51 % (1428)Time elapsed: 9.125 s
% 64.09/9.51 % (1428)Instructions burned: 18075 (million)
% 64.09/9.51 % (1421)Success in time 9.138 s
%------------------------------------------------------------------------------