TSTP Solution File: SWW233+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SWW233+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n024.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 : Fri Sep 1 00:38:34 EDT 2023
% Result : Theorem 32.11s 5.22s
% Output : CNFRefutation 32.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 14
% Syntax : Number of formulae : 95 ( 44 unt; 0 def)
% Number of atoms : 182 ( 25 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 154 ( 67 ~; 57 |; 13 &)
% ( 5 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 123 ( 0 sgn; 85 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_h) ).
fof(f6,axiom,
! [X5,X6] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X5,X6)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X6,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__le__linear) ).
fof(f7,axiom,
! [X7,X8,X9] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X9,X8)
=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X8,X7)
=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X9,X7) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__le__trans) ).
fof(f39,axiom,
! [X18] : c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X18) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X18),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__norm__def) ).
fof(f70,axiom,
! [X15,X4] :
( class_Groups_Oordered__ab__group__add__abs(X4)
=> c_Orderings_Oord__class_Oless__eq(X4,X15,c_Groups_Oabs__class_Oabs(X4,X15)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_abs__ge__self) ).
fof(f219,axiom,
! [X12,X13,X4] :
( class_Orderings_Opreorder(X4)
=> ( c_Orderings_Oord__class_Oless(X4,X13,X12)
<=> ( ~ c_Orderings_Oord__class_Oless__eq(X4,X12,X13)
& c_Orderings_Oord__class_Oless__eq(X4,X13,X12) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_less__le__not__le) ).
fof(f255,axiom,
! [X12,X13] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X13,X12)
<=> ( X12 != X13
& c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X13,X12) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__less__def) ).
fof(f303,axiom,
! [X15,X4] :
( class_Rings_Olinordered__semidom(X4)
=> c_Orderings_Oord__class_Oless(X4,X15,c_Groups_Oplus__class_Oplus(X4,X15,c_Groups_Oone__class_Oone(X4))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_less__add__one) ).
fof(f326,axiom,
! [X14,X15,X4] :
( class_Rings_Ocomm__semiring__1(X4)
=> c_Groups_Oplus__class_Oplus(X4,X14,X15) = c_Groups_Oplus__class_Oplus(X4,X15,X14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J) ).
fof(f1112,axiom,
class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Oordered__ab__group__add__abs) ).
fof(f1127,axiom,
class_Rings_Olinordered__semidom(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Olinordered__semidom) ).
fof(f1137,axiom,
class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Ocomm__semiring__1) ).
fof(f1144,axiom,
class_Orderings_Opreorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Orderings_Opreorder) ).
fof(f1261,conjecture,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f1262,negated_conjecture,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)),
inference(negated_conjecture,[],[f1261]) ).
fof(f1265,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ),
inference(rectify,[],[f6]) ).
fof(f1266,plain,
! [X0,X1,X2] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1)
=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X0) ) ),
inference(rectify,[],[f7]) ).
fof(f1297,plain,
! [X0] : c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0),
inference(rectify,[],[f39]) ).
fof(f1327,plain,
! [X0,X1] :
( class_Groups_Oordered__ab__group__add__abs(X1)
=> c_Orderings_Oord__class_Oless__eq(X1,X0,c_Groups_Oabs__class_Oabs(X1,X0)) ),
inference(rectify,[],[f70]) ).
fof(f1475,plain,
! [X0,X1,X2] :
( class_Orderings_Opreorder(X2)
=> ( c_Orderings_Oord__class_Oless(X2,X1,X0)
<=> ( ~ c_Orderings_Oord__class_Oless__eq(X2,X0,X1)
& c_Orderings_Oord__class_Oless__eq(X2,X1,X0) ) ) ),
inference(rectify,[],[f219]) ).
fof(f1511,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
<=> ( X0 != X1
& c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ) ),
inference(rectify,[],[f255]) ).
fof(f1559,plain,
! [X0,X1] :
( class_Rings_Olinordered__semidom(X1)
=> c_Orderings_Oord__class_Oless(X1,X0,c_Groups_Oplus__class_Oplus(X1,X0,c_Groups_Oone__class_Oone(X1))) ),
inference(rectify,[],[f303]) ).
fof(f1582,plain,
! [X0,X1,X2] :
( class_Rings_Ocomm__semiring__1(X2)
=> c_Groups_Oplus__class_Oplus(X2,X1,X0) = c_Groups_Oplus__class_Oplus(X2,X0,X1) ),
inference(rectify,[],[f326]) ).
fof(f2302,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)),
inference(flattening,[],[f1262]) ).
fof(f2305,plain,
! [X0,X1,X2] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X0)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1) ),
inference(ennf_transformation,[],[f1266]) ).
fof(f2306,plain,
! [X0,X1,X2] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X0)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1) ),
inference(flattening,[],[f2305]) ).
fof(f2390,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless__eq(X1,X0,c_Groups_Oabs__class_Oabs(X1,X0))
| ~ class_Groups_Oordered__ab__group__add__abs(X1) ),
inference(ennf_transformation,[],[f1327]) ).
fof(f2612,plain,
! [X0,X1,X2] :
( ( c_Orderings_Oord__class_Oless(X2,X1,X0)
<=> ( ~ c_Orderings_Oord__class_Oless__eq(X2,X0,X1)
& c_Orderings_Oord__class_Oless__eq(X2,X1,X0) ) )
| ~ class_Orderings_Opreorder(X2) ),
inference(ennf_transformation,[],[f1475]) ).
fof(f2720,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless(X1,X0,c_Groups_Oplus__class_Oplus(X1,X0,c_Groups_Oone__class_Oone(X1)))
| ~ class_Rings_Olinordered__semidom(X1) ),
inference(ennf_transformation,[],[f1559]) ).
fof(f2754,plain,
! [X0,X1,X2] :
( c_Groups_Oplus__class_Oplus(X2,X1,X0) = c_Groups_Oplus__class_Oplus(X2,X0,X1)
| ~ class_Rings_Ocomm__semiring__1(X2) ),
inference(ennf_transformation,[],[f1582]) ).
fof(f3475,plain,
! [X0,X1,X2] :
( ( ( c_Orderings_Oord__class_Oless(X2,X1,X0)
| c_Orderings_Oord__class_Oless__eq(X2,X0,X1)
| ~ c_Orderings_Oord__class_Oless__eq(X2,X1,X0) )
& ( ( ~ c_Orderings_Oord__class_Oless__eq(X2,X0,X1)
& c_Orderings_Oord__class_Oless__eq(X2,X1,X0) )
| ~ c_Orderings_Oord__class_Oless(X2,X1,X0) ) )
| ~ class_Orderings_Opreorder(X2) ),
inference(nnf_transformation,[],[f2612]) ).
fof(f3476,plain,
! [X0,X1,X2] :
( ( ( c_Orderings_Oord__class_Oless(X2,X1,X0)
| c_Orderings_Oord__class_Oless__eq(X2,X0,X1)
| ~ c_Orderings_Oord__class_Oless__eq(X2,X1,X0) )
& ( ( ~ c_Orderings_Oord__class_Oless__eq(X2,X0,X1)
& c_Orderings_Oord__class_Oless__eq(X2,X1,X0) )
| ~ c_Orderings_Oord__class_Oless(X2,X1,X0) ) )
| ~ class_Orderings_Opreorder(X2) ),
inference(flattening,[],[f3475]) ).
fof(f3489,plain,
! [X0,X1] :
( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
| X0 = X1
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) )
& ( ( X0 != X1
& c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) )
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ) ),
inference(nnf_transformation,[],[f1511]) ).
fof(f3490,plain,
! [X0,X1] :
( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
| X0 = X1
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) )
& ( ( X0 != X1
& c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) )
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ) ),
inference(flattening,[],[f3489]) ).
fof(f3857,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)),
inference(cnf_transformation,[],[f4]) ).
fof(f3859,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ),
inference(cnf_transformation,[],[f1265]) ).
fof(f3860,plain,
! [X2,X0,X1] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X0)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1) ),
inference(cnf_transformation,[],[f2306]) ).
fof(f3900,plain,
! [X0] : c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0),
inference(cnf_transformation,[],[f1297]) ).
fof(f3940,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless__eq(X1,X0,c_Groups_Oabs__class_Oabs(X1,X0))
| ~ class_Groups_Oordered__ab__group__add__abs(X1) ),
inference(cnf_transformation,[],[f2390]) ).
fof(f4141,plain,
! [X2,X0,X1] :
( ~ c_Orderings_Oord__class_Oless__eq(X2,X0,X1)
| ~ c_Orderings_Oord__class_Oless(X2,X1,X0)
| ~ class_Orderings_Opreorder(X2) ),
inference(cnf_transformation,[],[f3476]) ).
fof(f4190,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ),
inference(cnf_transformation,[],[f3490]) ).
fof(f4191,plain,
! [X0,X1] :
( X0 != X1
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ),
inference(cnf_transformation,[],[f3490]) ).
fof(f4192,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
| X0 = X1
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ),
inference(cnf_transformation,[],[f3490]) ).
fof(f4259,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless(X1,X0,c_Groups_Oplus__class_Oplus(X1,X0,c_Groups_Oone__class_Oone(X1)))
| ~ class_Rings_Olinordered__semidom(X1) ),
inference(cnf_transformation,[],[f2720]) ).
fof(f4289,plain,
! [X2,X0,X1] :
( c_Groups_Oplus__class_Oplus(X2,X1,X0) = c_Groups_Oplus__class_Oplus(X2,X0,X1)
| ~ class_Rings_Ocomm__semiring__1(X2) ),
inference(cnf_transformation,[],[f2754]) ).
fof(f5397,plain,
class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1112]) ).
fof(f5412,plain,
class_Rings_Olinordered__semidom(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1127]) ).
fof(f5422,plain,
class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1137]) ).
fof(f5429,plain,
class_Orderings_Opreorder(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1144]) ).
fof(f5546,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)),
inference(cnf_transformation,[],[f2302]) ).
fof(f5765,plain,
! [X1] : ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X1),
inference(equality_resolution,[],[f4191]) ).
cnf(c_52,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)),
inference(cnf_transformation,[],[f3857]) ).
cnf(c_54,plain,
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ),
inference(cnf_transformation,[],[f3859]) ).
cnf(c_55,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X0)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1) ),
inference(cnf_transformation,[],[f3860]) ).
cnf(c_90,plain,
c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0) = c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0),
inference(cnf_transformation,[],[f3900]) ).
cnf(c_124,plain,
( ~ class_Groups_Oordered__ab__group__add__abs(X0)
| c_Orderings_Oord__class_Oless__eq(X0,X1,c_Groups_Oabs__class_Oabs(X0,X1)) ),
inference(cnf_transformation,[],[f3940]) ).
cnf(c_318,plain,
( ~ c_Orderings_Oord__class_Oless__eq(X0,X1,X2)
| ~ c_Orderings_Oord__class_Oless(X0,X2,X1)
| ~ class_Orderings_Opreorder(X0) ),
inference(cnf_transformation,[],[f4141]) ).
cnf(c_365,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
| X0 = X1
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1) ),
inference(cnf_transformation,[],[f4192]) ).
cnf(c_366,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X0),
inference(cnf_transformation,[],[f5765]) ).
cnf(c_367,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,X1)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1) ),
inference(cnf_transformation,[],[f4190]) ).
cnf(c_434,plain,
( ~ class_Rings_Olinordered__semidom(X0)
| c_Orderings_Oord__class_Oless(X0,X1,c_Groups_Oplus__class_Oplus(X0,X1,c_Groups_Oone__class_Oone(X0))) ),
inference(cnf_transformation,[],[f4259]) ).
cnf(c_464,plain,
( ~ class_Rings_Ocomm__semiring__1(X0)
| c_Groups_Oplus__class_Oplus(X0,X1,X2) = c_Groups_Oplus__class_Oplus(X0,X2,X1) ),
inference(cnf_transformation,[],[f4289]) ).
cnf(c_1552,plain,
class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f5397]) ).
cnf(c_1567,plain,
class_Rings_Olinordered__semidom(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f5412]) ).
cnf(c_1577,plain,
class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f5422]) ).
cnf(c_1584,plain,
class_Orderings_Opreorder(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f5429]) ).
cnf(c_1701,negated_conjecture,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r____,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)),
inference(cnf_transformation,[],[f5546]) ).
cnf(c_13525,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_r____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)),
inference(demodulation,[status(thm)],[c_52,c_90]) ).
cnf(c_119274,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____),v_r____),
inference(superposition,[status(thm)],[c_54,c_1701]) ).
cnf(c_119363,plain,
( ~ class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0)) ),
inference(superposition,[status(thm)],[c_90,c_124]) ).
cnf(c_119364,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_119363,c_1552]) ).
cnf(c_120386,plain,
( ~ class_Rings_Olinordered__semidom(tc_RealDef_Oreal)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))) ),
inference(superposition,[status(thm)],[c_434,c_367]) ).
cnf(c_120396,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
inference(forward_subsumption_resolution,[status(thm)],[c_120386,c_1567]) ).
cnf(c_125048,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0),X0)
| ~ class_Orderings_Opreorder(tc_RealDef_Oreal) ),
inference(superposition,[status(thm)],[c_119364,c_318]) ).
cnf(c_125058,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X0)
| ~ class_Orderings_Opreorder(tc_RealDef_Oreal) ),
inference(superposition,[status(thm)],[c_120396,c_318]) ).
cnf(c_125123,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0),X0),
inference(forward_subsumption_resolution,[status(thm)],[c_125048,c_1584]) ).
cnf(c_125142,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X0),
inference(forward_subsumption_resolution,[status(thm)],[c_125058,c_1584]) ).
cnf(c_126372,plain,
c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,X1) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X0),
inference(superposition,[status(thm)],[c_1577,c_464]) ).
cnf(c_127094,plain,
( ~ class_Rings_Olinordered__semidom(tc_RealDef_Oreal)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X0)) ),
inference(superposition,[status(thm)],[c_126372,c_434]) ).
cnf(c_127095,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X0),X0),
inference(superposition,[status(thm)],[c_126372,c_125142]) ).
cnf(c_127096,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X0)),
inference(superposition,[status(thm)],[c_126372,c_120396]) ).
cnf(c_127106,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_127094,c_1567]) ).
cnf(c_127121,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
inference(superposition,[status(thm)],[c_126372,c_127106]) ).
cnf(c_129960,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,v_r____) ),
inference(superposition,[status(thm)],[c_119274,c_55]) ).
cnf(c_131766,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_r____)),v_r____),
inference(superposition,[status(thm)],[c_13525,c_129960]) ).
cnf(c_131825,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_r____)))
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,v_r____) ),
inference(superposition,[status(thm)],[c_131766,c_55]) ).
cnf(c_131826,plain,
( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_r____)) = v_r____
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_r____)),v_r____) ),
inference(superposition,[status(thm)],[c_131766,c_365]) ).
cnf(c_132593,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_r____),v_r____),
inference(superposition,[status(thm)],[c_127096,c_131825]) ).
cnf(c_133121,plain,
( c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_r____) = v_r____
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_r____),v_r____) ),
inference(superposition,[status(thm)],[c_132593,c_365]) ).
cnf(c_133128,plain,
c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_r____) = v_r____,
inference(forward_subsumption_resolution,[status(thm)],[c_133121,c_125123]) ).
cnf(c_133130,plain,
( c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),v_r____) = v_r____
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),v_r____),v_r____) ),
inference(demodulation,[status(thm)],[c_131826,c_133128]) ).
cnf(c_133136,plain,
c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),v_r____) = v_r____,
inference(forward_subsumption_resolution,[status(thm)],[c_133130,c_127095]) ).
cnf(c_135335,plain,
c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_r____,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) = v_r____,
inference(demodulation,[status(thm)],[c_133136,c_126372]) ).
cnf(c_135344,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_r____,v_r____),
inference(superposition,[status(thm)],[c_135335,c_127121]) ).
cnf(c_135348,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_135344,c_366]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW233+1 : TPTP v8.1.2. Released v5.2.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n024.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun Aug 27 21:15:08 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.46 Running first-order theorem proving
% 0.20/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 32.11/5.22 % SZS status Started for theBenchmark.p
% 32.11/5.22 % SZS status Theorem for theBenchmark.p
% 32.11/5.22
% 32.11/5.22 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 32.11/5.22
% 32.11/5.22 ------ iProver source info
% 32.11/5.22
% 32.11/5.22 git: date: 2023-05-31 18:12:56 +0000
% 32.11/5.22 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 32.11/5.22 git: non_committed_changes: false
% 32.11/5.22 git: last_make_outside_of_git: false
% 32.11/5.22
% 32.11/5.22 ------ Parsing...
% 32.11/5.22 ------ Clausification by vclausify_rel & Parsing by iProver...
% 32.11/5.22
% 32.11/5.22 ------ Preprocessing... sup_sim: 129 sf_s rm: 7 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e sup_sim: 21 sf_s rm: 14 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 16 0s sf_e pe_s pe_e
% 32.11/5.22
% 32.11/5.22 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 32.11/5.22
% 32.11/5.22 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 32.11/5.22 ------ Proving...
% 32.11/5.22 ------ Problem Properties
% 32.11/5.22
% 32.11/5.22
% 32.11/5.22 clauses 1397
% 32.11/5.22 conjectures 1
% 32.11/5.22 EPR 210
% 32.11/5.22 Horn 1199
% 32.11/5.22 unary 419
% 32.11/5.22 binary 481
% 32.11/5.22 lits 3134
% 32.11/5.22 lits eq 703
% 32.11/5.22 fd_pure 0
% 32.11/5.22 fd_pseudo 0
% 32.11/5.22 fd_cond 68
% 32.11/5.22 fd_pseudo_cond 77
% 32.11/5.22 AC symbols 0
% 32.11/5.22
% 32.11/5.22 ------ Schedule dynamic 5 is on
% 32.11/5.22
% 32.11/5.22 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 32.11/5.22
% 32.11/5.22
% 32.11/5.22 ------
% 32.11/5.22 Current options:
% 32.11/5.22 ------
% 32.11/5.22
% 32.11/5.22
% 32.11/5.22
% 32.11/5.22
% 32.11/5.22 ------ Proving...
% 32.11/5.22
% 32.11/5.22
% 32.11/5.22 % SZS status Theorem for theBenchmark.p
% 32.11/5.22
% 32.11/5.22 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 32.11/5.22
% 32.11/5.23
%------------------------------------------------------------------------------