%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LAT345+1 : TPTP v9.2.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n021.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 04:38:13 PM UTC 2026
% Result : Theorem 40.03s 23.64s
% Output : CNFRefutation 40.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 19
% Syntax : Number of formulae : 135 ( 22 unt; 0 def)
% Number of atoms : 492 ( 108 equ)
% Maximal formula atoms : 24 ( 3 avg)
% Number of connectives : 579 ( 222 ~; 247 |; 73 &)
% ( 3 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 2 con; 0-3 aty)
% Number of variables : 234 ( 20 sgn 97 !; 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/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(dt_u3_conlat_1,axiom,
! [X1] :
( l2_conlat_1(X1)
=> m2_relset_1(u3_conlat_1(X1),u1_conlat_1(X1),u2_conlat_1(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u3_conlat_1) ).
fof(involutiveness_k6_relset_1,axiom,
! [X1,X2,X3] :
( m1_relset_1(X3,X1,X2)
=> k6_relset_1(X1,X2,k6_relset_1(X1,X2,X3)) = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',involutiveness_k6_relset_1) ).
fof(redefinition_k6_relset_1,axiom,
! [X1,X2,X3] :
( m1_relset_1(X3,X1,X2)
=> k6_relset_1(X1,X2,X3) = k4_relat_1(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k6_relset_1) ).
fof(dt_k6_relset_1,axiom,
! [X1,X2,X3] :
( m1_relset_1(X3,X1,X2)
=> m2_relset_1(k6_relset_1(X1,X2,X3),X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_relset_1) ).
fof(cc1_relset_1,axiom,
! [X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
=> v1_relat_1(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(dt_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
=> m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(redefinition_k9_conlat_2,axiom,
! [X1,X2] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1)
& ~ v7_conlat_1(X2,X1)
& v9_conlat_1(X2,X1)
& l3_conlat_1(X2,X1) )
=> k9_conlat_2(X1,X2) = k8_conlat_2(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k9_conlat_2) ).
fof(dt_k9_conlat_2,axiom,
! [X1,X2] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1)
& ~ v7_conlat_1(X2,X1)
& v9_conlat_1(X2,X1)
& l3_conlat_1(X2,X1) )
=> ( v6_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1))
& ~ v7_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1))
& v9_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1))
& l3_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k9_conlat_2) ).
fof(dt_k7_conlat_2,axiom,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> ( ~ v3_conlat_1(k7_conlat_2(X1))
& v4_conlat_1(k7_conlat_2(X1))
& l2_conlat_1(k7_conlat_2(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_conlat_2) ).
fof(t20_conlat_2,conjecture,
! [X1] :
( ( ~ v3_conlat_1(X1)
& v4_conlat_1(X1)
& l2_conlat_1(X1) )
=> ! [X2] :
( ( v6_conlat_1(X2,X1)
& ~ v7_conlat_1(X2,X1)
& v9_conlat_1(X2,X1)
& l3_conlat_1(X2,X1) )
=> k9_conlat_2(k7_conlat_2(X1),k9_conlat_2(X1,X2)) = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_conlat_2) ).
fof(free_g2_conlat_1,axiom,
! [X1,X2,X3] :
( m1_relset_1(X3,X1,X2)
=> ! [X4,X5,X6] :
( g2_conlat_1(X1,X2,X3) = g2_conlat_1(X4,X5,X6)
=> ( X1 = X4
& X2 = X5
& X3 = X6 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',free_g2_conlat_1) ).
fof(abstractness_v4_conlat_1,axiom,
! [X1] :
( l2_conlat_1(X1)
=> ( v4_conlat_1(X1)
=> X1 = g2_conlat_1(u1_conlat_1(X1),u2_conlat_1(X1),u3_conlat_1(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abstractness_v4_conlat_1) ).
fof(d7_conlat_2,axiom,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> k7_conlat_2(X1) = g2_conlat_1(u2_conlat_1(X1),u1_conlat_1(X1),k6_relset_1(u1_conlat_1(X1),u2_conlat_1(X1),u3_conlat_1(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d7_conlat_2) ).
fof(involutiveness_k4_relat_1,axiom,
! [X1] :
( v1_relat_1(X1)
=> k4_relat_1(k4_relat_1(X1)) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',involutiveness_k4_relat_1) ).
fof(d8_conlat_2,axiom,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> ! [X2] :
( l3_conlat_1(X2,X1)
=> ! [X3] :
( ( v6_conlat_1(X3,k7_conlat_2(X1))
& l3_conlat_1(X3,k7_conlat_2(X1)) )
=> ( X3 = k8_conlat_2(X1,X2)
<=> ( u4_conlat_1(k7_conlat_2(X1),X3) = u5_conlat_1(X1,X2)
& u5_conlat_1(k7_conlat_2(X1),X3) = u4_conlat_1(X1,X2) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_conlat_2) ).
fof(dt_k8_conlat_2,axiom,
! [X1,X2] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1)
& l3_conlat_1(X2,X1) )
=> ( v6_conlat_1(k8_conlat_2(X1,X2),k7_conlat_2(X1))
& l3_conlat_1(k8_conlat_2(X1,X2),k7_conlat_2(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_conlat_2) ).
fof(dt_l2_conlat_1,axiom,
! [X1] :
( l2_conlat_1(X1)
=> l1_conlat_1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l2_conlat_1) ).
fof(abstractness_v6_conlat_1,axiom,
! [X1,X2] :
( ( l1_conlat_1(X1)
& l3_conlat_1(X2,X1) )
=> ( v6_conlat_1(X2,X1)
=> X2 = g3_conlat_1(X1,u4_conlat_1(X1,X2),u5_conlat_1(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abstractness_v6_conlat_1) ).
fof(c_0_19,plain,
! [X229,X230,X231] :
( ( ~ m2_relset_1(X231,X229,X230)
| m1_relset_1(X231,X229,X230) )
& ( ~ m1_relset_1(X231,X229,X230)
| m2_relset_1(X231,X229,X230) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).
fof(c_0_20,plain,
! [X164] :
( ~ l2_conlat_1(X164)
| m2_relset_1(u3_conlat_1(X164),u1_conlat_1(X164),u2_conlat_1(X164)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u3_conlat_1])]) ).
fof(c_0_21,plain,
! [X199,X200,X201] :
( ~ m1_relset_1(X201,X199,X200)
| k6_relset_1(X199,X200,k6_relset_1(X199,X200,X201)) = X201 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[involutiveness_k6_relset_1])]) ).
fof(c_0_22,plain,
! [X224,X225,X226] :
( ~ m1_relset_1(X226,X224,X225)
| k6_relset_1(X224,X225,X226) = k4_relat_1(X226) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k6_relset_1])]) ).
fof(c_0_23,plain,
! [X152,X153,X154] :
( ~ m1_relset_1(X154,X152,X153)
| m2_relset_1(k6_relset_1(X152,X153,X154),X153,X152) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k6_relset_1])]) ).
fof(c_0_24,plain,
! [X136,X137,X138] :
( ~ m1_subset_1(X138,k1_zfmisc_1(k2_zfmisc_1(X136,X137)))
| v1_relat_1(X138) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relset_1])]) ).
fof(c_0_25,plain,
! [X161,X162,X163] :
( ~ m2_relset_1(X163,X161,X162)
| m1_subset_1(X163,k1_zfmisc_1(k2_zfmisc_1(X161,X162))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_relset_1])]) ).
fof(c_0_26,plain,
! [X1,X2] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1)
& ~ v7_conlat_1(X2,X1)
& v9_conlat_1(X2,X1)
& l3_conlat_1(X2,X1) )
=> k9_conlat_2(X1,X2) = k8_conlat_2(X1,X2) ),
inference(fof_simplification,[status(thm)],[redefinition_k9_conlat_2]) ).
fof(c_0_27,plain,
! [X1,X2] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1)
& ~ v7_conlat_1(X2,X1)
& v9_conlat_1(X2,X1)
& l3_conlat_1(X2,X1) )
=> ( v6_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1))
& ~ v7_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1))
& v9_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1))
& l3_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k9_conlat_2]) ).
fof(c_0_28,plain,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> ( ~ v3_conlat_1(k7_conlat_2(X1))
& v4_conlat_1(k7_conlat_2(X1))
& l2_conlat_1(k7_conlat_2(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k7_conlat_2]) ).
fof(c_0_29,negated_conjecture,
~ ! [X1] :
( ( ~ v3_conlat_1(X1)
& v4_conlat_1(X1)
& l2_conlat_1(X1) )
=> ! [X2] :
( ( v6_conlat_1(X2,X1)
& ~ v7_conlat_1(X2,X1)
& v9_conlat_1(X2,X1)
& l3_conlat_1(X2,X1) )
=> k9_conlat_2(k7_conlat_2(X1),k9_conlat_2(X1,X2)) = X2 ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t20_conlat_2])]) ).
fof(c_0_30,plain,
! [X186,X187,X188,X189,X190,X191] :
( ( X186 = X189
| g2_conlat_1(X186,X187,X188) != g2_conlat_1(X189,X190,X191)
| ~ m1_relset_1(X188,X186,X187) )
& ( X187 = X190
| g2_conlat_1(X186,X187,X188) != g2_conlat_1(X189,X190,X191)
| ~ m1_relset_1(X188,X186,X187) )
& ( X188 = X191
| g2_conlat_1(X186,X187,X188) != g2_conlat_1(X189,X190,X191)
| ~ m1_relset_1(X188,X186,X187) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[free_g2_conlat_1])])])]) ).
fof(c_0_31,plain,
! [X131] :
( ~ l2_conlat_1(X131)
| ~ v4_conlat_1(X131)
| X131 = g2_conlat_1(u1_conlat_1(X131),u2_conlat_1(X131),u3_conlat_1(X131)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[abstractness_v4_conlat_1])]) ).
cnf(c_0_32,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_33,plain,
( m2_relset_1(u3_conlat_1(X1),u1_conlat_1(X1),u2_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_34,plain,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> k7_conlat_2(X1) = g2_conlat_1(u2_conlat_1(X1),u1_conlat_1(X1),k6_relset_1(u1_conlat_1(X1),u2_conlat_1(X1),u3_conlat_1(X1))) ),
inference(fof_simplification,[status(thm)],[d7_conlat_2]) ).
cnf(c_0_35,plain,
( k6_relset_1(X2,X3,k6_relset_1(X2,X3,X1)) = X1
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_36,plain,
( k6_relset_1(X2,X3,X1) = k4_relat_1(X1)
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_37,plain,
! [X198] :
( ~ v1_relat_1(X198)
| k4_relat_1(k4_relat_1(X198)) = X198 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[involutiveness_k4_relat_1])]) ).
cnf(c_0_38,plain,
( m2_relset_1(k6_relset_1(X2,X3,X1),X3,X2)
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_39,plain,
( v1_relat_1(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_40,plain,
( m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3)))
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_41,plain,
! [X227,X228] :
( v3_conlat_1(X227)
| ~ l2_conlat_1(X227)
| v7_conlat_1(X228,X227)
| ~ v9_conlat_1(X228,X227)
| ~ l3_conlat_1(X228,X227)
| k9_conlat_2(X227,X228) = k8_conlat_2(X227,X228) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])]) ).
fof(c_0_42,plain,
! [X158,X159] :
( ( v6_conlat_1(k9_conlat_2(X158,X159),k7_conlat_2(X158))
| v3_conlat_1(X158)
| ~ l2_conlat_1(X158)
| v7_conlat_1(X159,X158)
| ~ v9_conlat_1(X159,X158)
| ~ l3_conlat_1(X159,X158) )
& ( ~ v7_conlat_1(k9_conlat_2(X158,X159),k7_conlat_2(X158))
| v3_conlat_1(X158)
| ~ l2_conlat_1(X158)
| v7_conlat_1(X159,X158)
| ~ v9_conlat_1(X159,X158)
| ~ l3_conlat_1(X159,X158) )
& ( v9_conlat_1(k9_conlat_2(X158,X159),k7_conlat_2(X158))
| v3_conlat_1(X158)
| ~ l2_conlat_1(X158)
| v7_conlat_1(X159,X158)
| ~ v9_conlat_1(X159,X158)
| ~ l3_conlat_1(X159,X158) )
& ( l3_conlat_1(k9_conlat_2(X158,X159),k7_conlat_2(X158))
| v3_conlat_1(X158)
| ~ l2_conlat_1(X158)
| v7_conlat_1(X159,X158)
| ~ v9_conlat_1(X159,X158)
| ~ l3_conlat_1(X159,X158) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])]) ).
fof(c_0_43,plain,
! [X155] :
( ( ~ v3_conlat_1(k7_conlat_2(X155))
| v3_conlat_1(X155)
| ~ l2_conlat_1(X155) )
& ( v4_conlat_1(k7_conlat_2(X155))
| v3_conlat_1(X155)
| ~ l2_conlat_1(X155) )
& ( l2_conlat_1(k7_conlat_2(X155))
| v3_conlat_1(X155)
| ~ l2_conlat_1(X155) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])]) ).
fof(c_0_44,negated_conjecture,
( ~ v3_conlat_1(esk1_0)
& v4_conlat_1(esk1_0)
& l2_conlat_1(esk1_0)
& v6_conlat_1(esk2_0,esk1_0)
& ~ v7_conlat_1(esk2_0,esk1_0)
& v9_conlat_1(esk2_0,esk1_0)
& l3_conlat_1(esk2_0,esk1_0)
& k9_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0)) != esk2_0 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])]) ).
cnf(c_0_45,plain,
( X1 = X2
| g2_conlat_1(X3,X4,X1) != g2_conlat_1(X5,X6,X2)
| ~ m1_relset_1(X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_46,plain,
( X1 = g2_conlat_1(u1_conlat_1(X1),u2_conlat_1(X1),u3_conlat_1(X1))
| ~ l2_conlat_1(X1)
| ~ v4_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_47,plain,
( m1_relset_1(u3_conlat_1(X1),u1_conlat_1(X1),u2_conlat_1(X1))
| ~ l2_conlat_1(X1) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
fof(c_0_48,plain,
! [X141] :
( v3_conlat_1(X141)
| ~ l2_conlat_1(X141)
| k7_conlat_2(X141) = g2_conlat_1(u2_conlat_1(X141),u1_conlat_1(X141),k6_relset_1(u1_conlat_1(X141),u2_conlat_1(X141),u3_conlat_1(X141))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])]) ).
cnf(c_0_49,plain,
( k6_relset_1(X1,X2,k4_relat_1(X3)) = X3
| ~ m1_relset_1(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_50,plain,
( k4_relat_1(k4_relat_1(X1)) = X1
| ~ v1_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_51,plain,
( m2_relset_1(k4_relat_1(X1),X2,X3)
| ~ m1_relset_1(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_38,c_0_36]) ).
cnf(c_0_52,plain,
( v1_relat_1(X1)
| ~ m2_relset_1(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_53,plain,
( m2_relset_1(X1,X2,X3)
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_54,plain,
( v3_conlat_1(X1)
| v7_conlat_1(X2,X1)
| k9_conlat_2(X1,X2) = k8_conlat_2(X1,X2)
| ~ l2_conlat_1(X1)
| ~ v9_conlat_1(X2,X1)
| ~ l3_conlat_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_55,plain,
( v9_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1))
| v3_conlat_1(X1)
| v7_conlat_1(X2,X1)
| ~ l2_conlat_1(X1)
| ~ v9_conlat_1(X2,X1)
| ~ l3_conlat_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_56,plain,
( l2_conlat_1(k7_conlat_2(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_57,plain,
( l3_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1))
| v3_conlat_1(X1)
| v7_conlat_1(X2,X1)
| ~ l2_conlat_1(X1)
| ~ v9_conlat_1(X2,X1)
| ~ l3_conlat_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_58,plain,
( v3_conlat_1(X1)
| ~ v3_conlat_1(k7_conlat_2(X1))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_59,plain,
( v3_conlat_1(X1)
| v7_conlat_1(X2,X1)
| ~ v7_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1))
| ~ l2_conlat_1(X1)
| ~ v9_conlat_1(X2,X1)
| ~ l3_conlat_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_60,negated_conjecture,
v9_conlat_1(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_61,negated_conjecture,
l3_conlat_1(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_62,negated_conjecture,
l2_conlat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_63,negated_conjecture,
~ v7_conlat_1(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_64,negated_conjecture,
~ v3_conlat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
fof(c_0_65,plain,
! [X1] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1) )
=> ! [X2] :
( l3_conlat_1(X2,X1)
=> ! [X3] :
( ( v6_conlat_1(X3,k7_conlat_2(X1))
& l3_conlat_1(X3,k7_conlat_2(X1)) )
=> ( X3 = k8_conlat_2(X1,X2)
<=> ( u4_conlat_1(k7_conlat_2(X1),X3) = u5_conlat_1(X1,X2)
& u5_conlat_1(k7_conlat_2(X1),X3) = u4_conlat_1(X1,X2) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[d8_conlat_2]) ).
fof(c_0_66,plain,
! [X1,X2] :
( ( ~ v3_conlat_1(X1)
& l2_conlat_1(X1)
& l3_conlat_1(X2,X1) )
=> ( v6_conlat_1(k8_conlat_2(X1,X2),k7_conlat_2(X1))
& l3_conlat_1(k8_conlat_2(X1,X2),k7_conlat_2(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k8_conlat_2]) ).
cnf(c_0_67,plain,
( u3_conlat_1(X1) = X2
| X1 != g2_conlat_1(X3,X4,X2)
| ~ l2_conlat_1(X1)
| ~ v4_conlat_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47]) ).
cnf(c_0_68,plain,
( v3_conlat_1(X1)
| k7_conlat_2(X1) = g2_conlat_1(u2_conlat_1(X1),u1_conlat_1(X1),k6_relset_1(u1_conlat_1(X1),u2_conlat_1(X1),u3_conlat_1(X1)))
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_69,plain,
( k6_relset_1(X1,X2,X3) = k4_relat_1(X3)
| ~ m1_relset_1(k4_relat_1(X3),X1,X2)
| ~ v1_relat_1(X3) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_70,plain,
( m1_relset_1(k4_relat_1(X1),X2,X3)
| ~ m1_relset_1(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_32,c_0_51]) ).
cnf(c_0_71,plain,
( v1_relat_1(X1)
| ~ m1_relset_1(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_72,plain,
( k9_conlat_2(k7_conlat_2(X1),k9_conlat_2(X1,X2)) = k8_conlat_2(k7_conlat_2(X1),k9_conlat_2(X1,X2))
| v7_conlat_1(X2,X1)
| v3_conlat_1(X1)
| ~ l3_conlat_1(X2,X1)
| ~ v9_conlat_1(X2,X1)
| ~ l2_conlat_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56]),c_0_57]),c_0_58]),c_0_59]) ).
cnf(c_0_73,negated_conjecture,
k9_conlat_2(esk1_0,esk2_0) = k8_conlat_2(esk1_0,esk2_0),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_60]),c_0_61]),c_0_62])]),c_0_63]),c_0_64]) ).
fof(c_0_74,plain,
! [X142,X143,X144] :
( ( u4_conlat_1(k7_conlat_2(X142),X144) = u5_conlat_1(X142,X143)
| X144 != k8_conlat_2(X142,X143)
| ~ v6_conlat_1(X144,k7_conlat_2(X142))
| ~ l3_conlat_1(X144,k7_conlat_2(X142))
| ~ l3_conlat_1(X143,X142)
| v3_conlat_1(X142)
| ~ l2_conlat_1(X142) )
& ( u5_conlat_1(k7_conlat_2(X142),X144) = u4_conlat_1(X142,X143)
| X144 != k8_conlat_2(X142,X143)
| ~ v6_conlat_1(X144,k7_conlat_2(X142))
| ~ l3_conlat_1(X144,k7_conlat_2(X142))
| ~ l3_conlat_1(X143,X142)
| v3_conlat_1(X142)
| ~ l2_conlat_1(X142) )
& ( u4_conlat_1(k7_conlat_2(X142),X144) != u5_conlat_1(X142,X143)
| u5_conlat_1(k7_conlat_2(X142),X144) != u4_conlat_1(X142,X143)
| X144 = k8_conlat_2(X142,X143)
| ~ v6_conlat_1(X144,k7_conlat_2(X142))
| ~ l3_conlat_1(X144,k7_conlat_2(X142))
| ~ l3_conlat_1(X143,X142)
| v3_conlat_1(X142)
| ~ l2_conlat_1(X142) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_65])])])]) ).
cnf(c_0_75,plain,
( v6_conlat_1(k9_conlat_2(X1,X2),k7_conlat_2(X1))
| v3_conlat_1(X1)
| v7_conlat_1(X2,X1)
| ~ l2_conlat_1(X1)
| ~ v9_conlat_1(X2,X1)
| ~ l3_conlat_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
fof(c_0_76,plain,
! [X156,X157] :
( ( v6_conlat_1(k8_conlat_2(X156,X157),k7_conlat_2(X156))
| v3_conlat_1(X156)
| ~ l2_conlat_1(X156)
| ~ l3_conlat_1(X157,X156) )
& ( l3_conlat_1(k8_conlat_2(X156,X157),k7_conlat_2(X156))
| v3_conlat_1(X156)
| ~ l2_conlat_1(X156)
| ~ l3_conlat_1(X157,X156) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_66])])]) ).
cnf(c_0_77,plain,
( u3_conlat_1(g2_conlat_1(X1,X2,X3)) = X3
| ~ l2_conlat_1(g2_conlat_1(X1,X2,X3))
| ~ v4_conlat_1(g2_conlat_1(X1,X2,X3)) ),
inference(er,[status(thm)],[c_0_67]) ).
cnf(c_0_78,plain,
( g2_conlat_1(u2_conlat_1(X1),u1_conlat_1(X1),k4_relat_1(u3_conlat_1(X1))) = k7_conlat_2(X1)
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_36]),c_0_47]) ).
cnf(c_0_79,plain,
( v4_conlat_1(k7_conlat_2(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_80,plain,
( k6_relset_1(X1,X2,X3) = k4_relat_1(X3)
| ~ m1_relset_1(X3,X2,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_71]) ).
cnf(c_0_81,plain,
( X1 = X2
| g2_conlat_1(X1,X3,X4) != g2_conlat_1(X2,X5,X6)
| ~ m1_relset_1(X4,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_82,negated_conjecture,
k9_conlat_2(k7_conlat_2(esk1_0),k8_conlat_2(esk1_0,esk2_0)) = k8_conlat_2(k7_conlat_2(esk1_0),k8_conlat_2(esk1_0,esk2_0)),
inference(sr,[status(thm)],[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_72,c_0_73]),c_0_61]),c_0_60]),c_0_62])]),c_0_63]),c_0_64]) ).
cnf(c_0_83,negated_conjecture,
l3_conlat_1(k8_conlat_2(esk1_0,esk2_0),k7_conlat_2(esk1_0)),
inference(sr,[status(thm)],[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_57,c_0_73]),c_0_61]),c_0_60]),c_0_62])]),c_0_63]),c_0_64]) ).
cnf(c_0_84,negated_conjecture,
v9_conlat_1(k8_conlat_2(esk1_0,esk2_0),k7_conlat_2(esk1_0)),
inference(sr,[status(thm)],[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_55,c_0_73]),c_0_61]),c_0_60]),c_0_62])]),c_0_63]),c_0_64]) ).
cnf(c_0_85,negated_conjecture,
~ v7_conlat_1(k8_conlat_2(esk1_0,esk2_0),k7_conlat_2(esk1_0)),
inference(sr,[status(thm)],[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_59,c_0_73]),c_0_61]),c_0_60]),c_0_62])]),c_0_63]),c_0_64]) ).
cnf(c_0_86,plain,
( u4_conlat_1(k7_conlat_2(X1),X2) = u5_conlat_1(X1,X3)
| v3_conlat_1(X1)
| X2 != k8_conlat_2(X1,X3)
| ~ v6_conlat_1(X2,k7_conlat_2(X1))
| ~ l3_conlat_1(X2,k7_conlat_2(X1))
| ~ l3_conlat_1(X3,X1)
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_87,negated_conjecture,
v6_conlat_1(k8_conlat_2(esk1_0,esk2_0),k7_conlat_2(esk1_0)),
inference(sr,[status(thm)],[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_75,c_0_73]),c_0_61]),c_0_60]),c_0_62])]),c_0_63]),c_0_64]) ).
cnf(c_0_88,plain,
( v6_conlat_1(k8_conlat_2(X1,X2),k7_conlat_2(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1)
| ~ l3_conlat_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_89,plain,
( l3_conlat_1(k8_conlat_2(X1,X2),k7_conlat_2(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1)
| ~ l3_conlat_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_90,plain,
( u3_conlat_1(k7_conlat_2(X1)) = k4_relat_1(u3_conlat_1(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_79]),c_0_56]) ).
cnf(c_0_91,plain,
( k4_relat_1(k4_relat_1(X1)) = X1
| ~ m1_relset_1(X1,X2,X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_80]),c_0_70]) ).
cnf(c_0_92,plain,
( u1_conlat_1(X1) = X2
| X1 != g2_conlat_1(X2,X3,X4)
| ~ l2_conlat_1(X1)
| ~ v4_conlat_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_46]),c_0_47]) ).
cnf(c_0_93,plain,
( X1 = X2
| g2_conlat_1(X3,X1,X4) != g2_conlat_1(X5,X2,X6)
| ~ m1_relset_1(X4,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_94,plain,
( u5_conlat_1(k7_conlat_2(X1),X2) = u4_conlat_1(X1,X3)
| v3_conlat_1(X1)
| X2 != k8_conlat_2(X1,X3)
| ~ v6_conlat_1(X2,k7_conlat_2(X1))
| ~ l3_conlat_1(X2,k7_conlat_2(X1))
| ~ l3_conlat_1(X3,X1)
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_95,negated_conjecture,
( v6_conlat_1(k8_conlat_2(k7_conlat_2(esk1_0),k8_conlat_2(esk1_0,esk2_0)),k7_conlat_2(k7_conlat_2(esk1_0)))
| v3_conlat_1(k7_conlat_2(esk1_0))
| ~ l2_conlat_1(k7_conlat_2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_82]),c_0_83]),c_0_84])]),c_0_85]) ).
cnf(c_0_96,negated_conjecture,
( l3_conlat_1(k8_conlat_2(k7_conlat_2(esk1_0),k8_conlat_2(esk1_0,esk2_0)),k7_conlat_2(k7_conlat_2(esk1_0)))
| v3_conlat_1(k7_conlat_2(esk1_0))
| ~ l2_conlat_1(k7_conlat_2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_82]),c_0_83]),c_0_84])]),c_0_85]) ).
cnf(c_0_97,negated_conjecture,
( u4_conlat_1(k7_conlat_2(esk1_0),k8_conlat_2(esk1_0,esk2_0)) = u5_conlat_1(esk1_0,X1)
| k8_conlat_2(esk1_0,esk2_0) != k8_conlat_2(esk1_0,X1)
| ~ l3_conlat_1(X1,esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_83]),c_0_62])]),c_0_64]) ).
fof(c_0_98,plain,
! [X160] :
( ~ l2_conlat_1(X160)
| l1_conlat_1(X160) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l2_conlat_1])]) ).
cnf(c_0_99,plain,
( u4_conlat_1(k7_conlat_2(X1),k8_conlat_2(X1,X2)) = u5_conlat_1(X1,X3)
| v3_conlat_1(X1)
| k8_conlat_2(X1,X2) != k8_conlat_2(X1,X3)
| ~ l3_conlat_1(X3,X1)
| ~ l3_conlat_1(X2,X1)
| ~ l2_conlat_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_88]),c_0_89]) ).
cnf(c_0_100,plain,
( g2_conlat_1(u2_conlat_1(k7_conlat_2(X1)),u1_conlat_1(k7_conlat_2(X1)),k4_relat_1(k4_relat_1(u3_conlat_1(X1)))) = k7_conlat_2(k7_conlat_2(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_90]),c_0_56]),c_0_58]) ).
cnf(c_0_101,plain,
( k4_relat_1(k4_relat_1(u3_conlat_1(X1))) = u3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(spm,[status(thm)],[c_0_91,c_0_47]) ).
cnf(c_0_102,plain,
( u1_conlat_1(X1) = u2_conlat_1(X2)
| v3_conlat_1(X2)
| X1 != k7_conlat_2(X2)
| ~ l2_conlat_1(X1)
| ~ l2_conlat_1(X2)
| ~ v4_conlat_1(X1) ),
inference(spm,[status(thm)],[c_0_92,c_0_68]) ).
cnf(c_0_103,plain,
( u2_conlat_1(X1) = X2
| X1 != g2_conlat_1(X3,X2,X4)
| ~ l2_conlat_1(X1)
| ~ v4_conlat_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_46]),c_0_47]) ).
fof(c_0_104,plain,
! [X132,X133] :
( ~ l1_conlat_1(X132)
| ~ l3_conlat_1(X133,X132)
| ~ v6_conlat_1(X133,X132)
| X133 = g3_conlat_1(X132,u4_conlat_1(X132,X133),u5_conlat_1(X132,X133)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[abstractness_v6_conlat_1])]) ).
cnf(c_0_105,negated_conjecture,
( u5_conlat_1(k7_conlat_2(k7_conlat_2(esk1_0)),k8_conlat_2(k7_conlat_2(esk1_0),k8_conlat_2(esk1_0,esk2_0))) = u4_conlat_1(k7_conlat_2(esk1_0),X1)
| v3_conlat_1(k7_conlat_2(esk1_0))
| k8_conlat_2(k7_conlat_2(esk1_0),k8_conlat_2(esk1_0,esk2_0)) != k8_conlat_2(k7_conlat_2(esk1_0),X1)
| ~ l3_conlat_1(X1,k7_conlat_2(esk1_0))
| ~ l2_conlat_1(k7_conlat_2(esk1_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_96]) ).
cnf(c_0_106,negated_conjecture,
u4_conlat_1(k7_conlat_2(esk1_0),k8_conlat_2(esk1_0,esk2_0)) = u5_conlat_1(esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_97,c_0_61]) ).
cnf(c_0_107,plain,
( l1_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_108,plain,
( u4_conlat_1(k7_conlat_2(k7_conlat_2(X1)),k8_conlat_2(k7_conlat_2(X1),X2)) = u5_conlat_1(k7_conlat_2(X1),k9_conlat_2(X1,X3))
| v7_conlat_1(X3,X1)
| v3_conlat_1(X1)
| k8_conlat_2(k7_conlat_2(X1),X2) != k8_conlat_2(k7_conlat_2(X1),k9_conlat_2(X1,X3))
| ~ l3_conlat_1(X2,k7_conlat_2(X1))
| ~ l3_conlat_1(X3,X1)
| ~ v9_conlat_1(X3,X1)
| ~ l2_conlat_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_57]),c_0_56]),c_0_58]) ).
cnf(c_0_109,negated_conjecture,
( u5_conlat_1(k7_conlat_2(esk1_0),k8_conlat_2(esk1_0,esk2_0)) = u4_conlat_1(esk1_0,X1)
| k8_conlat_2(esk1_0,esk2_0) != k8_conlat_2(esk1_0,X1)
| ~ l3_conlat_1(X1,esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_87]),c_0_83]),c_0_62])]),c_0_64]) ).
cnf(c_0_110,plain,
( g2_conlat_1(u2_conlat_1(k7_conlat_2(X1)),u1_conlat_1(k7_conlat_2(X1)),u3_conlat_1(X1)) = k7_conlat_2(k7_conlat_2(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_111,plain,
( u1_conlat_1(k7_conlat_2(X1)) = u2_conlat_1(X1)
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_102]),c_0_79]),c_0_56]) ).
cnf(c_0_112,plain,
( u2_conlat_1(X1) = u1_conlat_1(X2)
| v3_conlat_1(X2)
| X1 != k7_conlat_2(X2)
| ~ l2_conlat_1(X1)
| ~ l2_conlat_1(X2)
| ~ v4_conlat_1(X1) ),
inference(spm,[status(thm)],[c_0_103,c_0_68]) ).
cnf(c_0_113,plain,
( X2 = g3_conlat_1(X1,u4_conlat_1(X1,X2),u5_conlat_1(X1,X2))
| ~ l1_conlat_1(X1)
| ~ l3_conlat_1(X2,X1)
| ~ v6_conlat_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_114,negated_conjecture,
( u5_conlat_1(k7_conlat_2(k7_conlat_2(esk1_0)),k8_conlat_2(k7_conlat_2(esk1_0),k8_conlat_2(esk1_0,esk2_0))) = u5_conlat_1(esk1_0,esk2_0)
| v3_conlat_1(k7_conlat_2(esk1_0))
| ~ l2_conlat_1(k7_conlat_2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_105]),c_0_106]),c_0_83])]) ).
cnf(c_0_115,plain,
( l1_conlat_1(k7_conlat_2(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(spm,[status(thm)],[c_0_107,c_0_56]) ).
cnf(c_0_116,plain,
( u4_conlat_1(k7_conlat_2(k7_conlat_2(X1)),k8_conlat_2(k7_conlat_2(X1),k9_conlat_2(X1,X2))) = u5_conlat_1(k7_conlat_2(X1),k9_conlat_2(X1,X2))
| v7_conlat_1(X2,X1)
| v3_conlat_1(X1)
| ~ l3_conlat_1(X2,X1)
| ~ v9_conlat_1(X2,X1)
| ~ l2_conlat_1(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_108]),c_0_57]) ).
cnf(c_0_117,negated_conjecture,
u5_conlat_1(k7_conlat_2(esk1_0),k8_conlat_2(esk1_0,esk2_0)) = u4_conlat_1(esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_109,c_0_61]) ).
cnf(c_0_118,plain,
( g2_conlat_1(u2_conlat_1(k7_conlat_2(X1)),u2_conlat_1(X1),u3_conlat_1(X1)) = k7_conlat_2(k7_conlat_2(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_119,plain,
( u2_conlat_1(k7_conlat_2(X1)) = u1_conlat_1(X1)
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_112]),c_0_79]),c_0_56]) ).
cnf(c_0_120,negated_conjecture,
( g3_conlat_1(k7_conlat_2(k7_conlat_2(esk1_0)),u4_conlat_1(k7_conlat_2(k7_conlat_2(esk1_0)),k8_conlat_2(k7_conlat_2(esk1_0),k8_conlat_2(esk1_0,esk2_0))),u5_conlat_1(esk1_0,esk2_0)) = k8_conlat_2(k7_conlat_2(esk1_0),k8_conlat_2(esk1_0,esk2_0))
| v3_conlat_1(k7_conlat_2(esk1_0))
| ~ l2_conlat_1(k7_conlat_2(esk1_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_95]),c_0_96]),c_0_115]) ).
cnf(c_0_121,negated_conjecture,
u4_conlat_1(k7_conlat_2(k7_conlat_2(esk1_0)),k8_conlat_2(k7_conlat_2(esk1_0),k8_conlat_2(esk1_0,esk2_0))) = u4_conlat_1(esk1_0,esk2_0),
inference(sr,[status(thm)],[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(spm,[status(thm)],[c_0_116,c_0_73]),c_0_117]),c_0_61]),c_0_60]),c_0_62])]),c_0_63]),c_0_64]) ).
cnf(c_0_122,plain,
( g2_conlat_1(u1_conlat_1(X1),u2_conlat_1(X1),u3_conlat_1(X1)) = k7_conlat_2(k7_conlat_2(X1))
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1) ),
inference(spm,[status(thm)],[c_0_118,c_0_119]) ).
cnf(c_0_123,negated_conjecture,
k9_conlat_2(k7_conlat_2(esk1_0),k9_conlat_2(esk1_0,esk2_0)) != esk2_0,
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_124,negated_conjecture,
( g3_conlat_1(k7_conlat_2(k7_conlat_2(esk1_0)),u4_conlat_1(esk1_0,esk2_0),u5_conlat_1(esk1_0,esk2_0)) = k8_conlat_2(k7_conlat_2(esk1_0),k8_conlat_2(esk1_0,esk2_0))
| v3_conlat_1(k7_conlat_2(esk1_0))
| ~ l2_conlat_1(k7_conlat_2(esk1_0)) ),
inference(rw,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_125,plain,
( k7_conlat_2(k7_conlat_2(X1)) = X1
| v3_conlat_1(X1)
| ~ l2_conlat_1(X1)
| ~ v4_conlat_1(X1) ),
inference(spm,[status(thm)],[c_0_46,c_0_122]) ).
cnf(c_0_126,negated_conjecture,
v4_conlat_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_127,negated_conjecture,
k9_conlat_2(k7_conlat_2(esk1_0),k8_conlat_2(esk1_0,esk2_0)) != esk2_0,
inference(rw,[status(thm)],[c_0_123,c_0_73]) ).
cnf(c_0_128,negated_conjecture,
( g3_conlat_1(esk1_0,u4_conlat_1(esk1_0,esk2_0),u5_conlat_1(esk1_0,esk2_0)) = k8_conlat_2(k7_conlat_2(esk1_0),k8_conlat_2(esk1_0,esk2_0))
| v3_conlat_1(k7_conlat_2(esk1_0))
| ~ l2_conlat_1(k7_conlat_2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_62]),c_0_126])]),c_0_64]) ).
cnf(c_0_129,negated_conjecture,
l1_conlat_1(esk1_0),
inference(spm,[status(thm)],[c_0_107,c_0_62]) ).
cnf(c_0_130,negated_conjecture,
v6_conlat_1(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_131,negated_conjecture,
k8_conlat_2(k7_conlat_2(esk1_0),k8_conlat_2(esk1_0,esk2_0)) != esk2_0,
inference(rw,[status(thm)],[c_0_127,c_0_82]) ).
cnf(c_0_132,negated_conjecture,
( v3_conlat_1(k7_conlat_2(esk1_0))
| ~ l2_conlat_1(k7_conlat_2(esk1_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_113,c_0_128]),c_0_129]),c_0_61]),c_0_130])]),c_0_131]) ).
cnf(c_0_133,negated_conjecture,
v3_conlat_1(k7_conlat_2(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_56]),c_0_62])]),c_0_64]) ).
cnf(c_0_134,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_133]),c_0_62])]),c_0_64]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT345+1 : TPTP v9.2.1. Released v3.4.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n021.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Mon May 4 21:29:10 EDT 2026
% 0.15/0.34 % CPUTime :
% 0.15/0.35 % start to proof: theBenchmark
% 40.03/23.64 % Version : CSE_E---1.7
% 40.03/23.64 % Problem : theBenchmark.p
% 40.03/23.64 % SZS status Theorem for theBenchmark.p
% 40.03/23.64 % SZS output start CNFRefutation
% See solution above
% 40.13/23.79 % Total time : 17.408s
%------------------------------------------------------------------------------