%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWW220+1 : TPTP v9.0.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n031.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 Jul 25 05:04:02 PM UTC 2025
% Result : Theorem 245.72s 31.41s
% Output : CNFRefutation 245.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 9 unt; 0 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 38 ( 15 ~; 16 |; 1 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 2 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 5 con; 0-3 aty)
% Number of variables : 20 ( 3 sgn 5 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_1,plain,
v_thesis____,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
fof(conj_1_negated,plain,
~ v_thesis____,
inference(negate_conjecture,[status(cth)],[conj_1]) ).
cnf(1724,plain,
~ v_thesis____,
inference(cnf,[status(esa)],[conj_1_negated]) ).
cnf(l0,plain,
~ v_thesis____,
inference(instantiation,[status(thm)],[1724]) ).
fof(conj_0,plain,
! [B_f] :
( c_SEQ_Osubseq(B_f)
=> ( ? [B_z] :
! [B_e] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_e)
=> ? [B_N] :
! [B_n] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B_N),B_n))
=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_g____(hAPP(B_f,B_n)),B_z)),B_e) ) )
=> v_thesis____ ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
cnf(1723,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_g____(hAPP(X0,sK101(X0,X1,X2))),X1)),sK100(X0,X1))
| ~ c_SEQ_Osubseq(X0)
| v_thesis____ ),
inference(cnf,[status(esa)],[conj_0]) ).
cnf(l1,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_g____(hAPP(sK2,sK101(sK2,sK3,sK4(sK100(sK2,sK3))))),sK3)),sK100(sK2,sK3))
| ~ c_SEQ_Osubseq(sK2)
| v_thesis____ ),
inference(instantiation,[status(thm)],[1723]) ).
fof(fact__096EX_Af_Az_O_Asubseq_Af_A_G_A_IALL_Ae_0620_O_AEX_AN_O_AALL_An_062_061N_O_Acmod_A_Ig_A_If_An_J_A_N_Az_J_A_060_Ae_J_096,plain,
? [B_f] :
( c_SEQ_Osubseq(B_f)
& ? [B_z] :
! [B_e] :
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),B_e)
=> ? [B_N] :
! [B_n] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,B_N),B_n))
=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_g____(hAPP(B_f,B_n)),B_z)),B_e) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact__096EX_Af_Az_O_Asubseq_Af_A_G_A_IALL_Ae_0620_O_AEX_AN_O_AALL_An_062_061N_O_Acmod_A_Ig_A_If_An_J_A_N_Az_J_A_060_Ae_J_096) ).
cnf(3,plain,
c_SEQ_Osubseq(sK2),
inference(cnf,[status(esa)],[fact__096EX_Af_Az_O_Asubseq_Af_A_G_A_IALL_Ae_0620_O_AEX_AN_O_AALL_An_062_061N_O_Acmod_A_Ig_A_If_An_J_A_N_Az_J_A_060_Ae_J_096]) ).
cnf(l3,plain,
c_SEQ_Osubseq(sK2),
inference(instantiation,[status(thm)],[3]) ).
cnf(4,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),X0)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sK4(X0)),X1))
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_g____(hAPP(sK2,X1)),sK3)),X0) ),
inference(cnf,[status(esa)],[fact__096EX_Af_Az_O_Asubseq_Af_A_G_A_IALL_Ae_0620_O_AEX_AN_O_AALL_An_062_061N_O_Acmod_A_Ig_A_If_An_J_A_N_Az_J_A_060_Ae_J_096]) ).
cnf(l2,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sK100(sK2,sK3))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sK4(sK100(sK2,sK3))),sK101(sK2,sK3,sK4(sK100(sK2,sK3)))))
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_g____(hAPP(sK2,sK101(sK2,sK3,sK4(sK100(sK2,sK3))))),sK3)),sK100(sK2,sK3)) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(1722,plain,
( ~ c_SEQ_Osubseq(X0)
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1),sK101(X0,X2,X1)))
| v_thesis____ ),
inference(cnf,[status(esa)],[conj_0]) ).
cnf(l26,plain,
( ~ c_SEQ_Osubseq(sK2)
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,sK4(sK100(sK2,sK3))),sK101(sK2,sK3,sK4(sK100(sK2,sK3)))))
| v_thesis____ ),
inference(instantiation,[status(thm)],[1722]) ).
cnf(l29,plain,
c_SEQ_Osubseq(sK2),
inference(instantiation,[status(thm)],[3]) ).
cnf(1721,plain,
( ~ c_SEQ_Osubseq(X0)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sK100(X0,X1))
| v_thesis____ ),
inference(cnf,[status(esa)],[conj_0]) ).
cnf(l11,plain,
( ~ c_SEQ_Osubseq(sK2)
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),sK100(sK2,sK3))
| v_thesis____ ),
inference(instantiation,[status(thm)],[1721]) ).
cnf(l16,plain,
c_SEQ_Osubseq(sK2),
inference(instantiation,[status(thm)],[3]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l2,l26,l29,l11,l16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW220+1 : TPTP v9.0.0. Released v5.2.0.
% 0.07/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n031.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Jul 22 13:00:49 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.20/0.46 % launching worker at depth: 1
% 0.20/0.46 % launching worker at depth: 3
% 0.20/0.46 % launching worker at depth: 2
% 0.20/0.46 % launching worker at depth: 7
% 0.20/0.46 % launching worker at depth: 8
% 0.20/0.46 % launching worker at depth: 9
% 0.20/0.46 % launching worker at depth: 4
% 0.20/0.46 % launching worker at depth: 5
% 0.20/0.46 % launching worker at depth: 6
% 0.20/0.49 % launching worker at depth: 10
% 14.62/2.29 % launching worker at depth: 11
% 245.72/31.41 % SZS status Theorem for theBenchmark
% 245.72/31.41 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------