%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GRP638+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 : n026.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 04:26:39 PM UTC 2026
% Result : Theorem 1.31s 1.73s
% Output : CNFRefutation 1.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 70 ( 27 unt; 0 def)
% Number of atoms : 318 ( 17 equ)
% Maximal formula atoms : 25 ( 4 avg)
% Number of connectives : 378 ( 130 ~; 124 |; 80 &)
% ( 5 <=>; 39 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-4 aty)
% Number of variables : 117 ( 4 sgn 76 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t11_latsubgr,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_group_1(X2)
& v4_group_1(X2)
& l1_group_1(X2) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_group_6(X3,X1,X2)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ! [X4] :
( m1_group_2(X4,X2)
=> ! [X5] :
( m1_group_2(X5,X2)
=> ! [X6] :
( m1_group_2(X6,X1)
=> ! [X7] :
( m1_group_2(X7,X1)
=> ( ( u1_struct_0(X6) = k3_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,u1_struct_0(X4))
& u1_struct_0(X7) = k3_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,u1_struct_0(X5))
& m1_group_6(X4,X2,X5) )
=> m1_group_6(X6,X1,X7) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_latsubgr) ).
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(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/sandbox/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/sandbox/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(redefinition_k3_funct_2,axiom,
! [X1,X2,X3,X4] :
( ( v1_funct_1(X3)
& m1_relset_1(X3,X1,X2) )
=> k3_funct_2(X1,X2,X3,X4) = k10_relat_1(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k3_funct_2) ).
fof(t178_relat_1,axiom,
! [X1,X2,X3] :
( v1_relat_1(X3)
=> ( r1_tarski(X1,X2)
=> r1_tarski(k10_relat_1(X3,X1),k10_relat_1(X3,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t178_relat_1) ).
fof(redefinition_m1_group_6,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1)
& m1_group_2(X2,X1) )
=> ! [X3] :
( m1_group_6(X3,X1,X2)
<=> m1_group_2(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m1_group_6) ).
fof(t66_group_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> ! [X3] :
( m1_group_2(X3,X1)
=> ( r1_tarski(u1_struct_0(X2),u1_struct_0(X3))
=> m1_group_2(X2,X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t66_group_2) ).
fof(d5_group_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_group_1(X2)
& l1_group_1(X2) )
=> ( m1_group_2(X2,X1)
<=> ( r1_tarski(u1_struct_0(X2),u1_struct_0(X1))
& u1_group_1(X2) = k1_realset1(u1_group_1(X1),u1_struct_0(X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_group_2) ).
fof(dt_m1_group_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> ( ~ v3_struct_0(X2)
& v3_group_1(X2)
& l1_group_1(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_group_2) ).
fof(c_0_10,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_group_1(X2)
& v4_group_1(X2)
& l1_group_1(X2) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v1_group_6(X3,X1,X2)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ! [X4] :
( m1_group_2(X4,X2)
=> ! [X5] :
( m1_group_2(X5,X2)
=> ! [X6] :
( m1_group_2(X6,X1)
=> ! [X7] :
( m1_group_2(X7,X1)
=> ( ( u1_struct_0(X6) = k3_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,u1_struct_0(X4))
& u1_struct_0(X7) = k3_funct_2(u1_struct_0(X1),u1_struct_0(X2),X3,u1_struct_0(X5))
& m1_group_6(X4,X2,X5) )
=> m1_group_6(X6,X1,X7) ) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t11_latsubgr])]) ).
fof(c_0_11,plain,
! [X192,X193,X194] :
( ( ~ m2_relset_1(X194,X192,X193)
| m1_relset_1(X194,X192,X193) )
& ( ~ m1_relset_1(X194,X192,X193)
| m2_relset_1(X194,X192,X193) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).
fof(c_0_12,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v3_group_1(esk1_0)
& v4_group_1(esk1_0)
& l1_group_1(esk1_0)
& ~ v3_struct_0(esk2_0)
& v3_group_1(esk2_0)
& v4_group_1(esk2_0)
& l1_group_1(esk2_0)
& v1_funct_1(esk3_0)
& v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
& v1_group_6(esk3_0,esk1_0,esk2_0)
& m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
& m1_group_2(esk4_0,esk2_0)
& m1_group_2(esk5_0,esk2_0)
& m1_group_2(esk6_0,esk1_0)
& m1_group_2(esk7_0,esk1_0)
& u1_struct_0(esk6_0) = k3_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,u1_struct_0(esk4_0))
& u1_struct_0(esk7_0) = k3_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,u1_struct_0(esk5_0))
& m1_group_6(esk4_0,esk2_0,esk5_0)
& ~ m1_group_6(esk6_0,esk1_0,esk7_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])]) ).
fof(c_0_13,plain,
! [X126,X127,X128] :
( ~ m1_subset_1(X128,k1_zfmisc_1(k2_zfmisc_1(X126,X127)))
| v1_relat_1(X128) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_relset_1])]) ).
fof(c_0_14,plain,
! [X147,X148,X149] :
( ~ m2_relset_1(X149,X147,X148)
| m1_subset_1(X149,k1_zfmisc_1(k2_zfmisc_1(X147,X148))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m2_relset_1])]) ).
fof(c_0_15,plain,
! [X185,X186,X187,X188] :
( ~ v1_funct_1(X187)
| ~ m1_relset_1(X187,X185,X186)
| k3_funct_2(X185,X186,X187,X188) = k10_relat_1(X187,X188) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k3_funct_2])]) ).
cnf(c_0_16,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17,negated_conjecture,
m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,plain,
( v1_relat_1(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,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_14]) ).
fof(c_0_20,plain,
! [X196,X197,X198] :
( ~ v1_relat_1(X198)
| ~ r1_tarski(X196,X197)
| r1_tarski(k10_relat_1(X198,X196),k10_relat_1(X198,X197)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t178_relat_1])]) ).
cnf(c_0_21,negated_conjecture,
u1_struct_0(esk7_0) = k3_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,u1_struct_0(esk5_0)),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_22,plain,
( k3_funct_2(X2,X3,X1,X4) = k10_relat_1(X1,X4)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_23,negated_conjecture,
m1_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_24,negated_conjecture,
v1_funct_1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_25,plain,
( v1_relat_1(X1)
| ~ m2_relset_1(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
fof(c_0_26,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1)
& m1_group_2(X2,X1) )
=> ! [X3] :
( m1_group_6(X3,X1,X2)
<=> m1_group_2(X3,X2) ) ),
inference(fof_simplification,[status(thm)],[redefinition_m1_group_6]) ).
fof(c_0_27,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> ! [X3] :
( m1_group_2(X3,X1)
=> ( r1_tarski(u1_struct_0(X2),u1_struct_0(X3))
=> m1_group_2(X2,X3) ) ) ) ),
inference(fof_simplification,[status(thm)],[t66_group_2]) ).
cnf(c_0_28,plain,
( r1_tarski(k10_relat_1(X1,X2),k10_relat_1(X1,X3))
| ~ v1_relat_1(X1)
| ~ r1_tarski(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_29,negated_conjecture,
k10_relat_1(esk3_0,u1_struct_0(esk5_0)) = u1_struct_0(esk7_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]),c_0_24])]) ).
cnf(c_0_30,negated_conjecture,
v1_relat_1(esk3_0),
inference(spm,[status(thm)],[c_0_25,c_0_17]) ).
cnf(c_0_31,negated_conjecture,
u1_struct_0(esk6_0) = k3_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),esk3_0,u1_struct_0(esk4_0)),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_32,plain,
! [X189,X190,X191] :
( ( ~ m1_group_6(X191,X189,X190)
| m1_group_2(X191,X190)
| v3_struct_0(X189)
| ~ v3_group_1(X189)
| ~ v4_group_1(X189)
| ~ l1_group_1(X189)
| ~ m1_group_2(X190,X189) )
& ( ~ m1_group_2(X191,X190)
| m1_group_6(X191,X189,X190)
| v3_struct_0(X189)
| ~ v3_group_1(X189)
| ~ v4_group_1(X189)
| ~ l1_group_1(X189)
| ~ m1_group_2(X190,X189) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])])]) ).
fof(c_0_33,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_group_1(X2)
& l1_group_1(X2) )
=> ( m1_group_2(X2,X1)
<=> ( r1_tarski(u1_struct_0(X2),u1_struct_0(X1))
& u1_group_1(X2) = k1_realset1(u1_group_1(X1),u1_struct_0(X2)) ) ) ) ),
inference(fof_simplification,[status(thm)],[d5_group_2]) ).
fof(c_0_34,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> ( ~ v3_struct_0(X2)
& v3_group_1(X2)
& l1_group_1(X2) ) ) ),
inference(fof_simplification,[status(thm)],[dt_m1_group_2]) ).
fof(c_0_35,plain,
! [X211,X212,X213] :
( v3_struct_0(X211)
| ~ v3_group_1(X211)
| ~ v4_group_1(X211)
| ~ l1_group_1(X211)
| ~ m1_group_2(X212,X211)
| ~ m1_group_2(X213,X211)
| ~ r1_tarski(u1_struct_0(X212),u1_struct_0(X213))
| m1_group_2(X212,X213) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])]) ).
cnf(c_0_36,negated_conjecture,
( r1_tarski(k10_relat_1(esk3_0,X1),u1_struct_0(esk7_0))
| ~ r1_tarski(X1,u1_struct_0(esk5_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30])]) ).
cnf(c_0_37,negated_conjecture,
k10_relat_1(esk3_0,u1_struct_0(esk4_0)) = u1_struct_0(esk6_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_22]),c_0_23]),c_0_24])]) ).
cnf(c_0_38,negated_conjecture,
~ m1_group_6(esk6_0,esk1_0,esk7_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_39,plain,
( m1_group_6(X1,X3,X2)
| v3_struct_0(X3)
| ~ m1_group_2(X1,X2)
| ~ v3_group_1(X3)
| ~ v4_group_1(X3)
| ~ l1_group_1(X3)
| ~ m1_group_2(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_40,negated_conjecture,
m1_group_2(esk7_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_41,negated_conjecture,
l1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_42,negated_conjecture,
v4_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_43,negated_conjecture,
v3_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_44,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_45,plain,
! [X135,X136] :
( ( r1_tarski(u1_struct_0(X136),u1_struct_0(X135))
| ~ m1_group_2(X136,X135)
| v3_struct_0(X136)
| ~ v3_group_1(X136)
| ~ l1_group_1(X136)
| v3_struct_0(X135)
| ~ v3_group_1(X135)
| ~ l1_group_1(X135) )
& ( u1_group_1(X136) = k1_realset1(u1_group_1(X135),u1_struct_0(X136))
| ~ m1_group_2(X136,X135)
| v3_struct_0(X136)
| ~ v3_group_1(X136)
| ~ l1_group_1(X136)
| v3_struct_0(X135)
| ~ v3_group_1(X135)
| ~ l1_group_1(X135) )
& ( ~ r1_tarski(u1_struct_0(X136),u1_struct_0(X135))
| u1_group_1(X136) != k1_realset1(u1_group_1(X135),u1_struct_0(X136))
| m1_group_2(X136,X135)
| v3_struct_0(X136)
| ~ v3_group_1(X136)
| ~ l1_group_1(X136)
| v3_struct_0(X135)
| ~ v3_group_1(X135)
| ~ l1_group_1(X135) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])])]) ).
fof(c_0_46,plain,
! [X142,X143] :
( ( ~ v3_struct_0(X143)
| ~ m1_group_2(X143,X142)
| v3_struct_0(X142)
| ~ v3_group_1(X142)
| ~ l1_group_1(X142) )
& ( v3_group_1(X143)
| ~ m1_group_2(X143,X142)
| v3_struct_0(X142)
| ~ v3_group_1(X142)
| ~ l1_group_1(X142) )
& ( l1_group_1(X143)
| ~ m1_group_2(X143,X142)
| v3_struct_0(X142)
| ~ v3_group_1(X142)
| ~ l1_group_1(X142) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])])]) ).
cnf(c_0_47,plain,
( v3_struct_0(X1)
| m1_group_2(X2,X3)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(X2,X1)
| ~ m1_group_2(X3,X1)
| ~ r1_tarski(u1_struct_0(X2),u1_struct_0(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_48,negated_conjecture,
( r1_tarski(u1_struct_0(esk6_0),u1_struct_0(esk7_0))
| ~ r1_tarski(u1_struct_0(esk4_0),u1_struct_0(esk5_0)) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_49,negated_conjecture,
~ m1_group_2(esk6_0,esk7_0),
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_38,c_0_39]),c_0_40]),c_0_41]),c_0_42]),c_0_43])]),c_0_44]) ).
cnf(c_0_50,plain,
( r1_tarski(u1_struct_0(X1),u1_struct_0(X2))
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ m1_group_2(X1,X2)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X2)
| ~ l1_group_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_51,plain,
( v3_group_1(X1)
| v3_struct_0(X2)
| ~ m1_group_2(X1,X2)
| ~ v3_group_1(X2)
| ~ l1_group_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_52,plain,
( l1_group_1(X1)
| v3_struct_0(X2)
| ~ m1_group_2(X1,X2)
| ~ v3_group_1(X2)
| ~ l1_group_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_53,plain,
( v3_struct_0(X2)
| ~ v3_struct_0(X1)
| ~ m1_group_2(X1,X2)
| ~ v3_group_1(X2)
| ~ l1_group_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_54,plain,
( m1_group_2(X1,X3)
| v3_struct_0(X2)
| ~ m1_group_6(X1,X2,X3)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2)
| ~ m1_group_2(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_55,negated_conjecture,
m1_group_6(esk4_0,esk2_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_56,negated_conjecture,
m1_group_2(esk5_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_57,negated_conjecture,
l1_group_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_58,negated_conjecture,
v4_group_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_59,negated_conjecture,
v3_group_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_60,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_61,negated_conjecture,
( v3_struct_0(X1)
| ~ r1_tarski(u1_struct_0(esk4_0),u1_struct_0(esk5_0))
| ~ m1_group_2(esk7_0,X1)
| ~ m1_group_2(esk6_0,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]) ).
cnf(c_0_62,plain,
( r1_tarski(u1_struct_0(X1),u1_struct_0(X2))
| v3_struct_0(X2)
| ~ m1_group_2(X1,X2)
| ~ l1_group_1(X2)
| ~ v3_group_1(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_50,c_0_51]),c_0_52]),c_0_53]) ).
cnf(c_0_63,negated_conjecture,
m1_group_2(esk4_0,esk5_0),
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_54,c_0_55]),c_0_56]),c_0_57]),c_0_58]),c_0_59])]),c_0_60]) ).
cnf(c_0_64,negated_conjecture,
l1_group_1(esk5_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_56]),c_0_57]),c_0_59])]),c_0_60]) ).
cnf(c_0_65,negated_conjecture,
v3_group_1(esk5_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_56]),c_0_57]),c_0_59])]),c_0_60]) ).
cnf(c_0_66,negated_conjecture,
~ v3_struct_0(esk5_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_56]),c_0_57]),c_0_59])]),c_0_60]) ).
cnf(c_0_67,negated_conjecture,
( v3_struct_0(X1)
| ~ m1_group_2(esk7_0,X1)
| ~ m1_group_2(esk6_0,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1) ),
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_61,c_0_62]),c_0_63]),c_0_64]),c_0_65])]),c_0_66]) ).
cnf(c_0_68,negated_conjecture,
m1_group_2(esk6_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_69,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(spm,[status(thm)],[c_0_67,c_0_40]),c_0_68]),c_0_41]),c_0_42]),c_0_43])]),c_0_44]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP638+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
% 0.17/0.33 % Computer : n026.cluster.edu
% 0.17/0.33 % Model : x86_64 x86_64
% 0.17/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.33 % Memory : 8042.1875MB
% 0.17/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.33 % CPULimit : 300
% 0.17/0.33 % WCLimit : 300
% 0.17/0.33 % DateTime : Mon May 4 18:50:53 EDT 2026
% 0.17/0.34 % CPUTime :
% 0.17/0.35 % start to proof: theBenchmark
% 1.31/1.73 % Version : CSE_E---1.7
% 1.31/1.73 % Problem : theBenchmark.p
% 1.31/1.73 % SZS status Theorem for theBenchmark.p
% 1.31/1.73 % SZS output start CNFRefutation
% See solution above
% 1.31/1.73 % Total time : 1.372s
%------------------------------------------------------------------------------