%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : TOP047+1 : TPTP v9.2.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n007.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 : Tue May 5 05:56:44 PM UTC 2026
% Result : Theorem 9.65s 6.20s
% Output : CNFRefutation 9.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of formulae : 85 ( 35 unt; 0 def)
% Number of atoms : 330 ( 67 equ)
% Maximal formula atoms : 22 ( 3 avg)
% Number of connectives : 388 ( 143 ~; 140 |; 74 &)
% ( 4 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-2 aty)
% Number of variables : 98 ( 5 sgn 51 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(redefinition_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
<=> m1_relset_1(X3,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(dt_u1_orders_2,axiom,
! [X1] :
( l1_orders_2(X1)
=> m2_relset_1(u1_orders_2(X1),u1_struct_0(X1),u1_struct_0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u1_orders_2) ).
fof(free_g1_orders_2,axiom,
! [X1,X2] :
( m1_relset_1(X2,X1,X1)
=> ! [X3,X4] :
( g1_orders_2(X1,X2) = g1_orders_2(X3,X4)
=> ( X1 = X3
& X2 = X4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',free_g1_orders_2) ).
fof(t8_waybel33,conjecture,
! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v24_waybel_0(X1)
& v25_waybel_0(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& v24_waybel_0(X2)
& v25_waybel_0(X2)
& v2_lattice3(X2)
& l1_orders_2(X2) )
=> ( g1_orders_2(u1_struct_0(X1),u1_orders_2(X1)) = g1_orders_2(u1_struct_0(X2),u1_orders_2(X2))
=> k14_yellow_6(X1,k3_waybel28(X1)) = k14_yellow_6(X2,k3_waybel28(X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_waybel33) ).
fof(cc2_lattice3,axiom,
! [X1] :
( l1_orders_2(X1)
=> ( v2_lattice3(X1)
=> ~ v3_struct_0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_lattice3) ).
fof(d27_yellow_6,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ! [X2] :
( m4_yellow_6(X2,X1)
=> ! [X3] :
( ( v1_pre_topc(X3)
& l1_pre_topc(X3) )
=> ( X3 = k14_yellow_6(X1,X2)
<=> ( u1_struct_0(X3) = u1_struct_0(X1)
& u1_pre_topc(X3) = a_2_1_yellow_6(X1,X2) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d27_yellow_6) ).
fof(dt_k14_yellow_6,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1)
& m4_yellow_6(X2,X1) )
=> ( v1_pre_topc(k14_yellow_6(X1,X2))
& l1_pre_topc(k14_yellow_6(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k14_yellow_6) ).
fof(dt_k3_waybel28,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> m4_yellow_6(k3_waybel28(X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_waybel28) ).
fof(dt_l1_orders_2,axiom,
! [X1] :
( l1_orders_2(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_orders_2) ).
fof(l12_waybel33,axiom,
! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v24_waybel_0(X1)
& v25_waybel_0(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& v24_waybel_0(X2)
& v25_waybel_0(X2)
& v2_lattice3(X2)
& l1_orders_2(X2) )
=> ( g1_orders_2(u1_struct_0(X1),u1_orders_2(X1)) = g1_orders_2(u1_struct_0(X2),u1_orders_2(X2))
=> r1_tarski(u1_pre_topc(k14_yellow_6(X1,k3_waybel28(X1))),u1_pre_topc(k14_yellow_6(X2,k3_waybel28(X2)))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l12_waybel33) ).
fof(d10_xboole_0,axiom,
! [X1,X2] :
( X1 = X2
<=> ( r1_tarski(X1,X2)
& r1_tarski(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(c_0_11,plain,
! [X311,X312,X313] :
( ( ~ m2_relset_1(X313,X311,X312)
| m1_relset_1(X313,X311,X312) )
& ( ~ m1_relset_1(X313,X311,X312)
| m2_relset_1(X313,X311,X312) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).
fof(c_0_12,plain,
! [X225] :
( ~ l1_orders_2(X225)
| m2_relset_1(u1_orders_2(X225),u1_struct_0(X225),u1_struct_0(X225)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u1_orders_2])]) ).
fof(c_0_13,plain,
! [X267,X268,X269,X270] :
( ( X267 = X269
| g1_orders_2(X267,X268) != g1_orders_2(X269,X270)
| ~ m1_relset_1(X268,X267,X267) )
& ( X268 = X270
| g1_orders_2(X267,X268) != g1_orders_2(X269,X270)
| ~ m1_relset_1(X268,X267,X267) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[free_g1_orders_2])])])]) ).
cnf(c_0_14,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_15,plain,
( m2_relset_1(u1_orders_2(X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_16,negated_conjecture,
~ ! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v24_waybel_0(X1)
& v25_waybel_0(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& v24_waybel_0(X2)
& v25_waybel_0(X2)
& v2_lattice3(X2)
& l1_orders_2(X2) )
=> ( g1_orders_2(u1_struct_0(X1),u1_orders_2(X1)) = g1_orders_2(u1_struct_0(X2),u1_orders_2(X2))
=> k14_yellow_6(X1,k3_waybel28(X1)) = k14_yellow_6(X2,k3_waybel28(X2)) ) ) ),
inference(assume_negation,[status(cth)],[t8_waybel33]) ).
cnf(c_0_17,plain,
( X1 = X2
| g1_orders_2(X3,X1) != g1_orders_2(X4,X2)
| ~ m1_relset_1(X1,X3,X3) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,plain,
( m1_relset_1(u1_orders_2(X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ l1_orders_2(X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
fof(c_0_19,negated_conjecture,
( v2_orders_2(esk1_0)
& v3_orders_2(esk1_0)
& v4_orders_2(esk1_0)
& v24_waybel_0(esk1_0)
& v25_waybel_0(esk1_0)
& v2_lattice3(esk1_0)
& l1_orders_2(esk1_0)
& v2_orders_2(esk2_0)
& v3_orders_2(esk2_0)
& v4_orders_2(esk2_0)
& v24_waybel_0(esk2_0)
& v25_waybel_0(esk2_0)
& v2_lattice3(esk2_0)
& l1_orders_2(esk2_0)
& g1_orders_2(u1_struct_0(esk1_0),u1_orders_2(esk1_0)) = g1_orders_2(u1_struct_0(esk2_0),u1_orders_2(esk2_0))
& k14_yellow_6(esk1_0,k3_waybel28(esk1_0)) != k14_yellow_6(esk2_0,k3_waybel28(esk2_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])]) ).
fof(c_0_20,plain,
! [X1] :
( l1_orders_2(X1)
=> ( v2_lattice3(X1)
=> ~ v3_struct_0(X1) ) ),
inference(fof_simplification,[status(thm)],[cc2_lattice3]) ).
cnf(c_0_21,plain,
( u1_orders_2(X1) = X2
| g1_orders_2(u1_struct_0(X1),u1_orders_2(X1)) != g1_orders_2(X3,X2)
| ~ l1_orders_2(X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,negated_conjecture,
g1_orders_2(u1_struct_0(esk1_0),u1_orders_2(esk1_0)) = g1_orders_2(u1_struct_0(esk2_0),u1_orders_2(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_23,negated_conjecture,
l1_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_24,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ! [X2] :
( m4_yellow_6(X2,X1)
=> ! [X3] :
( ( v1_pre_topc(X3)
& l1_pre_topc(X3) )
=> ( X3 = k14_yellow_6(X1,X2)
<=> ( u1_struct_0(X3) = u1_struct_0(X1)
& u1_pre_topc(X3) = a_2_1_yellow_6(X1,X2) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[d27_yellow_6]) ).
fof(c_0_25,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1)
& m4_yellow_6(X2,X1) )
=> ( v1_pre_topc(k14_yellow_6(X1,X2))
& l1_pre_topc(k14_yellow_6(X1,X2)) ) ),
inference(fof_simplification,[status(thm)],[dt_k14_yellow_6]) ).
fof(c_0_26,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> m4_yellow_6(k3_waybel28(X1),X1) ),
inference(fof_simplification,[status(thm)],[dt_k3_waybel28]) ).
fof(c_0_27,plain,
! [X189] :
( ~ l1_orders_2(X189)
| ~ v2_lattice3(X189)
| ~ v3_struct_0(X189) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])]) ).
cnf(c_0_28,negated_conjecture,
( u1_orders_2(esk1_0) = X1
| g1_orders_2(u1_struct_0(esk2_0),u1_orders_2(esk2_0)) != g1_orders_2(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23])]) ).
fof(c_0_29,plain,
! [X206,X207,X208] :
( ( u1_struct_0(X208) = u1_struct_0(X206)
| X208 != k14_yellow_6(X206,X207)
| ~ v1_pre_topc(X208)
| ~ l1_pre_topc(X208)
| ~ m4_yellow_6(X207,X206)
| v3_struct_0(X206)
| ~ l1_struct_0(X206) )
& ( u1_pre_topc(X208) = a_2_1_yellow_6(X206,X207)
| X208 != k14_yellow_6(X206,X207)
| ~ v1_pre_topc(X208)
| ~ l1_pre_topc(X208)
| ~ m4_yellow_6(X207,X206)
| v3_struct_0(X206)
| ~ l1_struct_0(X206) )
& ( u1_struct_0(X208) != u1_struct_0(X206)
| u1_pre_topc(X208) != a_2_1_yellow_6(X206,X207)
| X208 = k14_yellow_6(X206,X207)
| ~ v1_pre_topc(X208)
| ~ l1_pre_topc(X208)
| ~ m4_yellow_6(X207,X206)
| v3_struct_0(X206)
| ~ l1_struct_0(X206) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])])]) ).
fof(c_0_30,plain,
! [X215,X216] :
( ( v1_pre_topc(k14_yellow_6(X215,X216))
| v3_struct_0(X215)
| ~ l1_struct_0(X215)
| ~ m4_yellow_6(X216,X215) )
& ( l1_pre_topc(k14_yellow_6(X215,X216))
| v3_struct_0(X215)
| ~ l1_struct_0(X215)
| ~ m4_yellow_6(X216,X215) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])]) ).
fof(c_0_31,plain,
! [X217] :
( v3_struct_0(X217)
| ~ l1_orders_2(X217)
| m4_yellow_6(k3_waybel28(X217),X217) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])]) ).
cnf(c_0_32,plain,
( ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_33,negated_conjecture,
v2_lattice3(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_34,negated_conjecture,
l1_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_35,plain,
! [X218] :
( ~ l1_orders_2(X218)
| l1_struct_0(X218) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_orders_2])]) ).
cnf(c_0_36,negated_conjecture,
u1_orders_2(esk1_0) = u1_orders_2(esk2_0),
inference(er,[status(thm)],[c_0_28]) ).
cnf(c_0_37,plain,
( u1_pre_topc(X1) = a_2_1_yellow_6(X2,X3)
| v3_struct_0(X2)
| X1 != k14_yellow_6(X2,X3)
| ~ v1_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ m4_yellow_6(X3,X2)
| ~ l1_struct_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_38,plain,
( l1_pre_topc(k14_yellow_6(X1,X2))
| v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ m4_yellow_6(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_39,plain,
( v1_pre_topc(k14_yellow_6(X1,X2))
| v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ m4_yellow_6(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_40,plain,
( v3_struct_0(X1)
| m4_yellow_6(k3_waybel28(X1),X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_41,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34])]) ).
cnf(c_0_42,plain,
( l1_struct_0(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_43,negated_conjecture,
v2_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_44,plain,
( X1 = X2
| g1_orders_2(X1,X3) != g1_orders_2(X2,X4)
| ~ m1_relset_1(X3,X1,X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_45,negated_conjecture,
m1_relset_1(u1_orders_2(esk2_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_36]),c_0_23])]) ).
cnf(c_0_46,negated_conjecture,
g1_orders_2(u1_struct_0(esk1_0),u1_orders_2(esk2_0)) = g1_orders_2(u1_struct_0(esk2_0),u1_orders_2(esk2_0)),
inference(rw,[status(thm)],[c_0_22,c_0_36]) ).
fof(c_0_47,plain,
! [X275,X276] :
( ~ v2_orders_2(X275)
| ~ v3_orders_2(X275)
| ~ v4_orders_2(X275)
| ~ v24_waybel_0(X275)
| ~ v25_waybel_0(X275)
| ~ v2_lattice3(X275)
| ~ l1_orders_2(X275)
| ~ v2_orders_2(X276)
| ~ v3_orders_2(X276)
| ~ v4_orders_2(X276)
| ~ v24_waybel_0(X276)
| ~ v25_waybel_0(X276)
| ~ v2_lattice3(X276)
| ~ l1_orders_2(X276)
| g1_orders_2(u1_struct_0(X275),u1_orders_2(X275)) != g1_orders_2(u1_struct_0(X276),u1_orders_2(X276))
| r1_tarski(u1_pre_topc(k14_yellow_6(X275,k3_waybel28(X275))),u1_pre_topc(k14_yellow_6(X276,k3_waybel28(X276)))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l12_waybel33])])]) ).
cnf(c_0_48,plain,
( u1_pre_topc(k14_yellow_6(X1,X2)) = a_2_1_yellow_6(X1,X2)
| v3_struct_0(X1)
| ~ m4_yellow_6(X2,X1)
| ~ l1_struct_0(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_37]),c_0_38]),c_0_39]) ).
cnf(c_0_49,negated_conjecture,
m4_yellow_6(k3_waybel28(esk2_0),esk2_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_34]),c_0_41]) ).
cnf(c_0_50,negated_conjecture,
l1_struct_0(esk2_0),
inference(spm,[status(thm)],[c_0_42,c_0_34]) ).
cnf(c_0_51,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_43]),c_0_23])]) ).
cnf(c_0_52,plain,
( u1_struct_0(X1) = u1_struct_0(X2)
| v3_struct_0(X2)
| X1 != k14_yellow_6(X2,X3)
| ~ v1_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ m4_yellow_6(X3,X2)
| ~ l1_struct_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_53,negated_conjecture,
( u1_struct_0(esk1_0) = X1
| g1_orders_2(u1_struct_0(esk2_0),u1_orders_2(esk2_0)) != g1_orders_2(X1,X2) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46]) ).
cnf(c_0_54,plain,
( r1_tarski(u1_pre_topc(k14_yellow_6(X1,k3_waybel28(X1))),u1_pre_topc(k14_yellow_6(X2,k3_waybel28(X2))))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v24_waybel_0(X1)
| ~ v25_waybel_0(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v24_waybel_0(X2)
| ~ v25_waybel_0(X2)
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2)
| g1_orders_2(u1_struct_0(X1),u1_orders_2(X1)) != g1_orders_2(u1_struct_0(X2),u1_orders_2(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_55,negated_conjecture,
u1_pre_topc(k14_yellow_6(esk2_0,k3_waybel28(esk2_0))) = a_2_1_yellow_6(esk2_0,k3_waybel28(esk2_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50])]),c_0_41]) ).
cnf(c_0_56,negated_conjecture,
v25_waybel_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_57,negated_conjecture,
v24_waybel_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_58,negated_conjecture,
v4_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_59,negated_conjecture,
v3_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_60,negated_conjecture,
v2_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_61,negated_conjecture,
m4_yellow_6(k3_waybel28(esk1_0),esk1_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_23]),c_0_51]) ).
cnf(c_0_62,negated_conjecture,
l1_struct_0(esk1_0),
inference(spm,[status(thm)],[c_0_42,c_0_23]) ).
cnf(c_0_63,plain,
( X1 = k14_yellow_6(X2,X3)
| v3_struct_0(X2)
| u1_struct_0(X1) != u1_struct_0(X2)
| u1_pre_topc(X1) != a_2_1_yellow_6(X2,X3)
| ~ v1_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ m4_yellow_6(X3,X2)
| ~ l1_struct_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_64,plain,
( u1_struct_0(k14_yellow_6(X1,X2)) = u1_struct_0(X1)
| v3_struct_0(X1)
| ~ m4_yellow_6(X2,X1)
| ~ l1_struct_0(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_52]),c_0_38]),c_0_39]) ).
cnf(c_0_65,negated_conjecture,
u1_struct_0(esk1_0) = u1_struct_0(esk2_0),
inference(er,[status(thm)],[c_0_53]) ).
fof(c_0_66,plain,
! [X204,X205] :
( ( r1_tarski(X204,X205)
| X204 != X205 )
& ( r1_tarski(X205,X204)
| X204 != X205 )
& ( ~ r1_tarski(X204,X205)
| ~ r1_tarski(X205,X204)
| X204 = X205 ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d10_xboole_0])])]) ).
cnf(c_0_67,negated_conjecture,
( r1_tarski(u1_pre_topc(k14_yellow_6(X1,k3_waybel28(X1))),a_2_1_yellow_6(esk2_0,k3_waybel28(esk2_0)))
| g1_orders_2(u1_struct_0(X1),u1_orders_2(X1)) != g1_orders_2(u1_struct_0(esk2_0),u1_orders_2(esk2_0))
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v25_waybel_0(X1)
| ~ v24_waybel_0(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_34]),c_0_33]),c_0_56]),c_0_57]),c_0_58]),c_0_59]),c_0_60])]) ).
cnf(c_0_68,negated_conjecture,
u1_pre_topc(k14_yellow_6(esk1_0,k3_waybel28(esk1_0))) = a_2_1_yellow_6(esk1_0,k3_waybel28(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_61]),c_0_62])]),c_0_51]) ).
cnf(c_0_69,negated_conjecture,
v25_waybel_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_70,negated_conjecture,
v24_waybel_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_71,negated_conjecture,
v4_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_72,negated_conjecture,
v3_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_73,negated_conjecture,
v2_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_74,negated_conjecture,
( X1 = k14_yellow_6(esk2_0,k3_waybel28(esk2_0))
| u1_pre_topc(X1) != a_2_1_yellow_6(esk2_0,k3_waybel28(esk2_0))
| u1_struct_0(X1) != u1_struct_0(esk2_0)
| ~ v1_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_49]),c_0_50])]),c_0_41]) ).
cnf(c_0_75,negated_conjecture,
u1_struct_0(k14_yellow_6(esk1_0,k3_waybel28(esk1_0))) = u1_struct_0(esk2_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_61]),c_0_65]),c_0_62])]),c_0_51]) ).
cnf(c_0_76,negated_conjecture,
v1_pre_topc(k14_yellow_6(esk1_0,k3_waybel28(esk1_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_61]),c_0_62])]),c_0_51]) ).
cnf(c_0_77,negated_conjecture,
l1_pre_topc(k14_yellow_6(esk1_0,k3_waybel28(esk1_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_61]),c_0_62])]),c_0_51]) ).
cnf(c_0_78,negated_conjecture,
k14_yellow_6(esk1_0,k3_waybel28(esk1_0)) != k14_yellow_6(esk2_0,k3_waybel28(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_79,plain,
( X1 = X2
| ~ r1_tarski(X1,X2)
| ~ r1_tarski(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_80,negated_conjecture,
r1_tarski(a_2_1_yellow_6(esk1_0,k3_waybel28(esk1_0)),a_2_1_yellow_6(esk2_0,k3_waybel28(esk2_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_65]),c_0_36]),c_0_23]),c_0_43]),c_0_69]),c_0_70]),c_0_71]),c_0_72]),c_0_73])]) ).
cnf(c_0_81,negated_conjecture,
a_2_1_yellow_6(esk1_0,k3_waybel28(esk1_0)) != a_2_1_yellow_6(esk2_0,k3_waybel28(esk2_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_68]),c_0_75]),c_0_76]),c_0_77])]),c_0_78]) ).
cnf(c_0_82,negated_conjecture,
( r1_tarski(u1_pre_topc(k14_yellow_6(X1,k3_waybel28(X1))),a_2_1_yellow_6(esk1_0,k3_waybel28(esk1_0)))
| g1_orders_2(u1_struct_0(X1),u1_orders_2(X1)) != g1_orders_2(u1_struct_0(esk2_0),u1_orders_2(esk2_0))
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v25_waybel_0(X1)
| ~ v24_waybel_0(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_68]),c_0_65]),c_0_36]),c_0_23]),c_0_43]),c_0_69]),c_0_70]),c_0_71]),c_0_72]),c_0_73])]) ).
cnf(c_0_83,negated_conjecture,
~ r1_tarski(a_2_1_yellow_6(esk2_0,k3_waybel28(esk2_0)),a_2_1_yellow_6(esk1_0,k3_waybel28(esk1_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_81]) ).
cnf(c_0_84,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_55]),c_0_34]),c_0_33]),c_0_56]),c_0_57]),c_0_58]),c_0_59]),c_0_60])]),c_0_83]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : TOP047+1 : TPTP v9.2.1. Released v3.4.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.34 % Computer : n007.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Tue May 5 10:04:54 EDT 2026
% 0.15/0.34 % CPUTime :
% 0.15/0.35 % start to proof: theBenchmark
% 9.65/6.20 % Version : CSE_E---1.7
% 9.65/6.20 % Problem : theBenchmark.p
% 9.65/6.20 % SZS status Theorem for theBenchmark.p
% 9.65/6.20 % SZS output start CNFRefutation
% See solution above
% 9.65/6.23 % Total time : 4.376s
%------------------------------------------------------------------------------