TSTP Solution File: SWW212+1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SWW212+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n016.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 May 3 03:24:30 EDT 2024
% Result : Theorem 35.89s 5.73s
% Output : CNFRefutation 35.89s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
fof(f13,axiom,
! [X10,X11,X4] :
( class_RealVector_Oreal__normed__vector(X4)
=> hAPP(c_RealVector_Onorm__class_Onorm(X4),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X4),X11),X10)) = hAPP(c_RealVector_Onorm__class_Onorm(X4),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X4),X10),X11)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_norm__minus__commute) ).
fof(f17,axiom,
c_SEQ_Osubseq(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_hs) ).
fof(f94,axiom,
! [X23] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X23)
=> ? [X24] :
! [X8] :
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X24,X8)
=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex),hAPP(v_s,hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____),X8))),hAPP(hAPP(c_Complex_Ocomplex_OComplex,v_x____),v_y____))),X23) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact__096_B_Be_O_A0_A_060_Ae_A_061_061_062_AEX_AN_O_AALL_An_062_061N_O_Acmod_A_Is_A_I_If_Ao_Ag_J_An_J_A_N_AComplex_Ax_Ay_J_A_060_Ae_096) ).
fof(f1188,axiom,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__RealVector_Oreal__normed__vector) ).
fof(f1274,conjecture,
? [X58] :
( ? [X105] :
! [X112] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X112)
=> ? [X24] :
! [X8] :
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X24,X8)
=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex),hAPP(v_s,hAPP(X58,X8))),X105)),X112) ) )
& c_SEQ_Osubseq(X58) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f1275,negated_conjecture,
~ ? [X58] :
( ? [X105] :
! [X112] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X112)
=> ? [X24] :
! [X8] :
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X24,X8)
=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex),hAPP(v_s,hAPP(X58,X8))),X105)),X112) ) )
& c_SEQ_Osubseq(X58) ),
inference(negated_conjecture,[],[f1274]) ).
fof(f1285,plain,
! [X0,X1,X2] :
( class_RealVector_Oreal__normed__vector(X2)
=> hAPP(c_RealVector_Onorm__class_Onorm(X2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X2),X1),X0)) = hAPP(c_RealVector_Onorm__class_Onorm(X2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X2),X0),X1)) ),
inference(rectify,[],[f13]) ).
fof(f1363,plain,
! [X0] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
=> ? [X1] :
! [X2] :
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)
=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex),hAPP(v_s,hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____),X2))),hAPP(hAPP(c_Complex_Ocomplex_OComplex,v_x____),v_y____))),X0) ) ),
inference(rectify,[],[f94]) ).
fof(f2305,plain,
~ ? [X0] :
( ? [X1] :
! [X2] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2)
=> ? [X3] :
! [X4] :
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X4)
=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex),hAPP(v_s,hAPP(X0,X4))),X1)),X2) ) )
& c_SEQ_Osubseq(X0) ),
inference(rectify,[],[f1275]) ).
fof(f2315,plain,
! [X0,X1,X2] :
( hAPP(c_RealVector_Onorm__class_Onorm(X2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X2),X1),X0)) = hAPP(c_RealVector_Onorm__class_Onorm(X2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X2),X0),X1))
| ~ class_RealVector_Oreal__normed__vector(X2) ),
inference(ennf_transformation,[],[f1285]) ).
fof(f2440,plain,
! [X0] :
( ? [X1] :
! [X2] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex),hAPP(v_s,hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____),X2))),hAPP(hAPP(c_Complex_Ocomplex_OComplex,v_x____),v_y____))),X0)
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) )
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
inference(ennf_transformation,[],[f1363]) ).
fof(f3542,plain,
! [X0] :
( ! [X1] :
? [X2] :
( ! [X3] :
? [X4] :
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex),hAPP(v_s,hAPP(X0,X4))),X1)),X2)
& c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X4) )
& c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2) )
| ~ c_SEQ_Osubseq(X0) ),
inference(ennf_transformation,[],[f2305]) ).
fof(f3613,plain,
! [X0] :
( ? [X1] :
! [X2] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex),hAPP(v_s,hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____),X2))),hAPP(hAPP(c_Complex_Ocomplex_OComplex,v_x____),v_y____))),X0)
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) )
=> ! [X2] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex),hAPP(v_s,hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____),X2))),hAPP(hAPP(c_Complex_Ocomplex_OComplex,v_x____),v_y____))),X0)
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sK17(X0),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f3614,plain,
! [X0] :
( ! [X2] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex),hAPP(v_s,hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____),X2))),hAPP(hAPP(c_Complex_Ocomplex_OComplex,v_x____),v_y____))),X0)
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sK17(X0),X2) )
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f2440,f3613]) ).
fof(f3956,plain,
! [X0,X1] :
( ? [X2] :
( ! [X3] :
? [X4] :
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex),hAPP(v_s,hAPP(X0,X4))),X1)),X2)
& c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X4) )
& c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X2) )
=> ( ! [X3] :
? [X4] :
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex),hAPP(v_s,hAPP(X0,X4))),X1)),sK58(X0,X1))
& c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X4) )
& c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sK58(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f3957,plain,
! [X0,X1,X3] :
( ? [X4] :
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex),hAPP(v_s,hAPP(X0,X4))),X1)),sK58(X0,X1))
& c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X4) )
=> ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex),hAPP(v_s,hAPP(X0,sK59(X0,X1,X3)))),X1)),sK58(X0,X1))
& c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,sK59(X0,X1,X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f3958,plain,
! [X0] :
( ! [X1] :
( ! [X3] :
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex),hAPP(v_s,hAPP(X0,sK59(X0,X1,X3)))),X1)),sK58(X0,X1))
& c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,sK59(X0,X1,X3)) )
& c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sK58(X0,X1)) )
| ~ c_SEQ_Osubseq(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK58,sK59])],[f3542,f3957,f3956]) ).
fof(f3975,plain,
! [X2,X0,X1] :
( hAPP(c_RealVector_Onorm__class_Onorm(X2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X2),X1),X0)) = hAPP(c_RealVector_Onorm__class_Onorm(X2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X2),X0),X1))
| ~ class_RealVector_Oreal__normed__vector(X2) ),
inference(cnf_transformation,[],[f2315]) ).
fof(f3981,plain,
c_SEQ_Osubseq(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____)),
inference(cnf_transformation,[],[f17]) ).
fof(f4095,plain,
! [X2,X0] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex),hAPP(v_s,hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____),X2))),hAPP(hAPP(c_Complex_Ocomplex_OComplex,v_x____),v_y____))),X0)
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sK17(X0),X2)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0) ),
inference(cnf_transformation,[],[f3614]) ).
fof(f5577,plain,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1188]) ).
fof(f5663,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sK58(X0,X1))
| ~ c_SEQ_Osubseq(X0) ),
inference(cnf_transformation,[],[f3958]) ).
fof(f5664,plain,
! [X3,X0,X1] :
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,sK59(X0,X1,X3))
| ~ c_SEQ_Osubseq(X0) ),
inference(cnf_transformation,[],[f3958]) ).
fof(f5665,plain,
! [X3,X0,X1] :
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex),hAPP(v_s,hAPP(X0,sK59(X0,X1,X3)))),X1)),sK58(X0,X1))
| ~ c_SEQ_Osubseq(X0) ),
inference(cnf_transformation,[],[f3958]) ).
cnf(c_65,plain,
( ~ class_RealVector_Oreal__normed__vector(X0)
| hAPP(c_RealVector_Onorm__class_Onorm(X0),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X0),X1),X2)) = hAPP(c_RealVector_Onorm__class_Onorm(X0),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X0),X2),X1)) ),
inference(cnf_transformation,[],[f3975]) ).
cnf(c_71,plain,
c_SEQ_Osubseq(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____)),
inference(cnf_transformation,[],[f3981]) ).
cnf(c_173,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sK17(X0),X1)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex),hAPP(v_s,hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____),X1))),hAPP(hAPP(c_Complex_Ocomplex_OComplex,v_x____),v_y____))),X0) ),
inference(cnf_transformation,[],[f4095]) ).
cnf(c_1624,plain,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f5577]) ).
cnf(c_1710,negated_conjecture,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex),hAPP(v_s,hAPP(X0,sK59(X0,X1,X2)))),X1)),sK58(X0,X1))
| ~ c_SEQ_Osubseq(X0) ),
inference(cnf_transformation,[],[f5665]) ).
cnf(c_1711,negated_conjecture,
( ~ c_SEQ_Osubseq(X0)
| c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,sK59(X0,X2,X1)) ),
inference(cnf_transformation,[],[f5664]) ).
cnf(c_1712,negated_conjecture,
( ~ c_SEQ_Osubseq(X0)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sK58(X0,X1)) ),
inference(cnf_transformation,[],[f5663]) ).
cnf(c_2677,plain,
( ~ class_RealVector_Oreal__normed__vector(X0)
| hAPP(c_RealVector_Onorm__class_Onorm(X0),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X0),X1),X2)) = hAPP(c_RealVector_Onorm__class_Onorm(X0),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X0),X2),X1)) ),
inference(prop_impl_just,[status(thm)],[c_65]) ).
cnf(c_33159,plain,
( X0 != tc_Complex_Ocomplex
| hAPP(c_RealVector_Onorm__class_Onorm(X0),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X0),X1),X2)) = hAPP(c_RealVector_Onorm__class_Onorm(X0),hAPP(hAPP(c_Groups_Ominus__class_Ominus(X0),X2),X1)) ),
inference(resolution_lifted,[status(thm)],[c_2677,c_1624]) ).
cnf(c_33160,plain,
hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex),X0),X1)) = hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex),X1),X0)),
inference(unflattening,[status(thm)],[c_33159]) ).
cnf(c_38688,plain,
( ~ c_SEQ_Osubseq(X0)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex),hAPP(v_s,hAPP(X0,sK59(X0,X1,X2)))),X1)),sK58(X0,X1)) ),
inference(prop_impl_just,[status(thm)],[c_1710]) ).
cnf(c_38689,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex),hAPP(v_s,hAPP(X0,sK59(X0,X1,X2)))),X1)),sK58(X0,X1))
| ~ c_SEQ_Osubseq(X0) ),
inference(renaming,[status(thm)],[c_38688]) ).
cnf(c_51877,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex),X0),hAPP(v_s,hAPP(X1,sK59(X1,X0,X2))))),sK58(X1,X0))
| ~ c_SEQ_Osubseq(X1) ),
inference(demodulation,[status(thm)],[c_38689,c_33160]) ).
cnf(c_53659,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sK17(X0),X1)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex),hAPP(hAPP(c_Complex_Ocomplex_OComplex,v_x____),v_y____)),hAPP(v_s,hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____),X1)))),X0) ),
inference(demodulation,[status(thm)],[c_173,c_33160]) ).
cnf(c_66624,plain,
( ~ c_SEQ_Osubseq(X1)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex),X0),hAPP(v_s,hAPP(X1,sK59(X1,X0,X2))))),sK58(X1,X0)) ),
inference(prop_impl_just,[status(thm)],[c_51877]) ).
cnf(c_66625,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex),X0),hAPP(v_s,hAPP(X1,sK59(X1,X0,X2))))),sK58(X1,X0))
| ~ c_SEQ_Osubseq(X1) ),
inference(renaming,[status(thm)],[c_66624]) ).
cnf(c_94103,plain,
c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = sP0_iProver_def,
definition ).
cnf(c_94104,negated_conjecture,
( ~ c_SEQ_Osubseq(X0)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sP0_iProver_def,sK58(X0,X1)) ),
inference(demodulation,[status(thm)],[c_1712,c_94103]) ).
cnf(c_94105,negated_conjecture,
( ~ c_SEQ_Osubseq(X0)
| c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,sK59(X0,X2,X1)) ),
inference(demodulation,[status(thm)],[c_1711]) ).
cnf(c_115852,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sK17(X0),X1)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sP0_iProver_def,X0)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex),hAPP(hAPP(c_Complex_Ocomplex_OComplex,v_x____),v_y____)),hAPP(v_s,hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____),X1)))),X0) ),
inference(light_normalisation,[status(thm)],[c_53659,c_94103]) ).
cnf(c_115867,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sK17(sK58(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____),hAPP(hAPP(c_Complex_Ocomplex_OComplex,v_x____),v_y____))),sK59(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____),hAPP(hAPP(c_Complex_Ocomplex_OComplex,v_x____),v_y____),X0))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sP0_iProver_def,sK58(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____),hAPP(hAPP(c_Complex_Ocomplex_OComplex,v_x____),v_y____)))
| ~ c_SEQ_Osubseq(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____)) ),
inference(superposition,[status(thm)],[c_115852,c_66625]) ).
cnf(c_115872,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sP0_iProver_def,sK58(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____),hAPP(hAPP(c_Complex_Ocomplex_OComplex,v_x____),v_y____)))
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sK17(sK58(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____),hAPP(hAPP(c_Complex_Ocomplex_OComplex,v_x____),v_y____))),sK59(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____),hAPP(hAPP(c_Complex_Ocomplex_OComplex,v_x____),v_y____),X0)) ),
inference(global_subsumption_just,[status(thm)],[c_115867,c_71,c_115867]) ).
cnf(c_115873,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sK17(sK58(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____),hAPP(hAPP(c_Complex_Ocomplex_OComplex,v_x____),v_y____))),sK59(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____),hAPP(hAPP(c_Complex_Ocomplex_OComplex,v_x____),v_y____),X0))
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sP0_iProver_def,sK58(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____),hAPP(hAPP(c_Complex_Ocomplex_OComplex,v_x____),v_y____))) ),
inference(renaming,[status(thm)],[c_115872]) ).
cnf(c_115879,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sP0_iProver_def,sK58(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____),hAPP(hAPP(c_Complex_Ocomplex_OComplex,v_x____),v_y____)))
| ~ c_SEQ_Osubseq(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____)) ),
inference(superposition,[status(thm)],[c_94105,c_115873]) ).
cnf(c_115882,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,sP0_iProver_def,sK58(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____),hAPP(hAPP(c_Complex_Ocomplex_OComplex,v_x____),v_y____))),
inference(global_subsumption_just,[status(thm)],[c_115879,c_71,c_115879]) ).
cnf(c_115884,plain,
~ c_SEQ_Osubseq(c_Fun_Ocomp(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat,v_f____,v_ga____)),
inference(superposition,[status(thm)],[c_94104,c_115882]) ).
cnf(c_115885,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_115884,c_71]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWW212+1 : TPTP v8.1.2. Released v5.2.0.
% 0.08/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n016.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 : Thu May 2 23:05:15 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 35.89/5.73 % SZS status Started for theBenchmark.p
% 35.89/5.73 % SZS status Theorem for theBenchmark.p
% 35.89/5.73
% 35.89/5.73 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 35.89/5.73
% 35.89/5.73 ------ iProver source info
% 35.89/5.73
% 35.89/5.73 git: date: 2024-05-02 19:28:25 +0000
% 35.89/5.73 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 35.89/5.73 git: non_committed_changes: false
% 35.89/5.73
% 35.89/5.73 ------ Parsing...
% 35.89/5.73 ------ Clausification by vclausify_rel & Parsing by iProver...
% 35.89/5.73
% 35.89/5.73 ------ Preprocessing... sup_sim: 36 sf_s rm: 60 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe_e sup_sim: 92 sf_s rm: 23 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 24 0s sf_e pe_s pe_e
% 35.89/5.73
% 35.89/5.73 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 35.89/5.73
% 35.89/5.73 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 35.89/5.73 ------ Proving...
% 35.89/5.73 ------ Problem Properties
% 35.89/5.73
% 35.89/5.73
% 35.89/5.73 clauses 1423
% 35.89/5.73 conjectures 2
% 35.89/5.73 EPR 237
% 35.89/5.73 Horn 1219
% 35.89/5.73 unary 429
% 35.89/5.73 binary 481
% 35.89/5.73 lits 3182
% 35.89/5.73 lits eq 699
% 35.89/5.73 fd_pure 0
% 35.89/5.73 fd_pseudo 0
% 35.89/5.73 fd_cond 117
% 35.89/5.73 fd_pseudo_cond 71
% 35.89/5.73 AC symbols 0
% 35.89/5.73
% 35.89/5.73 ------ Schedule dynamic 5 is on
% 35.89/5.73
% 35.89/5.73 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 35.89/5.73
% 35.89/5.73
% 35.89/5.73 ------
% 35.89/5.73 Current options:
% 35.89/5.73 ------
% 35.89/5.73
% 35.89/5.73
% 35.89/5.73
% 35.89/5.73
% 35.89/5.73 ------ Proving...
% 35.89/5.73
% 35.89/5.73
% 35.89/5.73 % SZS status Theorem for theBenchmark.p
% 35.89/5.73
% 35.89/5.73 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 35.89/5.73
% 35.89/5.73
%------------------------------------------------------------------------------