%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GRP629+4 : 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 : n029.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 04:26:36 PM UTC 2026
% Result : Theorem 64.61s 62.58s
% Output : CNFRefutation 64.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 39 ( 12 unt; 0 def)
% Number of atoms : 264 ( 66 equ)
% Maximal formula atoms : 43 ( 6 avg)
% Number of connectives : 346 ( 121 ~; 134 |; 59 &)
% ( 2 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 2 con; 0-5 aty)
% Number of variables : 63 ( 0 sgn 39 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t15_group_1,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( ( k1_group_1(X1,X2,X3) = X2
| k1_group_1(X1,X3,X2) = X2 )
=> X3 = k2_group_1(X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+212.ax',t15_group_1) ).
fof(t26_autgroup,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),k6_autgroup(X1,k3_group_1(X1,X2)),k6_autgroup(X1,X2)) = k6_autgroup(X1,k2_group_1(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t26_autgroup) ).
fof(d3_group_1,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_group_1(X1) )
=> ( v3_group_1(X1)
<=> ? [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
& ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( k1_group_1(X1,X3,X2) = X3
& k1_group_1(X1,X2,X3) = X3
& ? [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
& k1_group_1(X1,X3,X4) = X2
& k1_group_1(X1,X4,X3) = X2 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+212.ax',d3_group_1) ).
fof(t20_group_1,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( ( k1_group_1(X1,X2,X3) = k2_group_1(X1)
| k1_group_1(X1,X3,X2) = k2_group_1(X1) )
=> ( X2 = k3_group_1(X1,X3)
& X3 = k3_group_1(X1,X2) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+212.ax',t20_group_1) ).
fof(t23_autgroup,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> k6_autgroup(X1,k1_group_1(X1,X2,X3)) = k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),k6_autgroup(X1,X2),k6_autgroup(X1,X3)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_autgroup) ).
fof(c_0_5,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( ( k1_group_1(X1,X2,X3) = X2
| k1_group_1(X1,X3,X2) = X2 )
=> X3 = k2_group_1(X1) ) ) ) ),
inference(fof_simplification,[status(thm)],[t15_group_1]) ).
fof(c_0_6,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),k6_autgroup(X1,k3_group_1(X1,X2)),k6_autgroup(X1,X2)) = k6_autgroup(X1,k2_group_1(X1)) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t26_autgroup])]) ).
fof(c_0_7,plain,
! [X1282,X1283,X1284] :
( ( k1_group_1(X1282,X1283,X1284) != X1283
| X1284 = k2_group_1(X1282)
| ~ m1_subset_1(X1284,u1_struct_0(X1282))
| ~ m1_subset_1(X1283,u1_struct_0(X1282))
| v3_struct_0(X1282)
| ~ v3_group_1(X1282)
| ~ v4_group_1(X1282)
| ~ l1_group_1(X1282) )
& ( k1_group_1(X1282,X1284,X1283) != X1283
| X1284 = k2_group_1(X1282)
| ~ m1_subset_1(X1284,u1_struct_0(X1282))
| ~ m1_subset_1(X1283,u1_struct_0(X1282))
| v3_struct_0(X1282)
| ~ v3_group_1(X1282)
| ~ v4_group_1(X1282)
| ~ l1_group_1(X1282) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])]) ).
fof(c_0_8,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v1_group_1(esk1_0)
& v3_group_1(esk1_0)
& v4_group_1(esk1_0)
& l1_group_1(esk1_0)
& m1_subset_1(esk2_0,u1_struct_0(esk1_0))
& k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k6_autgroup(esk1_0,k3_group_1(esk1_0,esk2_0)),k6_autgroup(esk1_0,esk2_0)) != k6_autgroup(esk1_0,k2_group_1(esk1_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).
fof(c_0_9,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_group_1(X1) )
=> ( v3_group_1(X1)
<=> ? [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
& ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( k1_group_1(X1,X3,X2) = X3
& k1_group_1(X1,X2,X3) = X3
& ? [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
& k1_group_1(X1,X3,X4) = X2
& k1_group_1(X1,X4,X3) = X2 ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[d3_group_1]) ).
fof(c_0_10,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( ( k1_group_1(X1,X2,X3) = k2_group_1(X1)
| k1_group_1(X1,X3,X2) = k2_group_1(X1) )
=> ( X2 = k3_group_1(X1,X3)
& X3 = k3_group_1(X1,X2) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t20_group_1]) ).
cnf(c_0_11,plain,
( X2 = k2_group_1(X1)
| v3_struct_0(X1)
| k1_group_1(X1,X2,X3) != X3
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,negated_conjecture,
v4_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,negated_conjecture,
v3_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_15,negated_conjecture,
l1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_16,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_17,plain,
! [X1566,X1568,X1570,X1572] :
( ( m1_subset_1(esk36_1(X1566),u1_struct_0(X1566))
| ~ v3_group_1(X1566)
| v3_struct_0(X1566)
| ~ l1_group_1(X1566) )
& ( k1_group_1(X1566,X1568,esk36_1(X1566)) = X1568
| ~ m1_subset_1(X1568,u1_struct_0(X1566))
| ~ v3_group_1(X1566)
| v3_struct_0(X1566)
| ~ l1_group_1(X1566) )
& ( k1_group_1(X1566,esk36_1(X1566),X1568) = X1568
| ~ m1_subset_1(X1568,u1_struct_0(X1566))
| ~ v3_group_1(X1566)
| v3_struct_0(X1566)
| ~ l1_group_1(X1566) )
& ( m1_subset_1(esk37_2(X1566,X1568),u1_struct_0(X1566))
| ~ m1_subset_1(X1568,u1_struct_0(X1566))
| ~ v3_group_1(X1566)
| v3_struct_0(X1566)
| ~ l1_group_1(X1566) )
& ( k1_group_1(X1566,X1568,esk37_2(X1566,X1568)) = esk36_1(X1566)
| ~ m1_subset_1(X1568,u1_struct_0(X1566))
| ~ v3_group_1(X1566)
| v3_struct_0(X1566)
| ~ l1_group_1(X1566) )
& ( k1_group_1(X1566,esk37_2(X1566,X1568),X1568) = esk36_1(X1566)
| ~ m1_subset_1(X1568,u1_struct_0(X1566))
| ~ v3_group_1(X1566)
| v3_struct_0(X1566)
| ~ l1_group_1(X1566) )
& ( m1_subset_1(esk38_2(X1566,X1570),u1_struct_0(X1566))
| ~ m1_subset_1(X1570,u1_struct_0(X1566))
| v3_group_1(X1566)
| v3_struct_0(X1566)
| ~ l1_group_1(X1566) )
& ( k1_group_1(X1566,esk38_2(X1566,X1570),X1570) != esk38_2(X1566,X1570)
| k1_group_1(X1566,X1570,esk38_2(X1566,X1570)) != esk38_2(X1566,X1570)
| ~ m1_subset_1(X1572,u1_struct_0(X1566))
| k1_group_1(X1566,esk38_2(X1566,X1570),X1572) != X1570
| k1_group_1(X1566,X1572,esk38_2(X1566,X1570)) != X1570
| ~ m1_subset_1(X1570,u1_struct_0(X1566))
| v3_group_1(X1566)
| v3_struct_0(X1566)
| ~ l1_group_1(X1566) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])])]) ).
fof(c_0_18,plain,
! [X1351,X1352,X1353] :
( ( X1352 = k3_group_1(X1351,X1353)
| k1_group_1(X1351,X1352,X1353) != k2_group_1(X1351)
| ~ m1_subset_1(X1353,u1_struct_0(X1351))
| ~ m1_subset_1(X1352,u1_struct_0(X1351))
| v3_struct_0(X1351)
| ~ v3_group_1(X1351)
| ~ v4_group_1(X1351)
| ~ l1_group_1(X1351) )
& ( X1353 = k3_group_1(X1351,X1352)
| k1_group_1(X1351,X1352,X1353) != k2_group_1(X1351)
| ~ m1_subset_1(X1353,u1_struct_0(X1351))
| ~ m1_subset_1(X1352,u1_struct_0(X1351))
| v3_struct_0(X1351)
| ~ v3_group_1(X1351)
| ~ v4_group_1(X1351)
| ~ l1_group_1(X1351) )
& ( X1352 = k3_group_1(X1351,X1353)
| k1_group_1(X1351,X1353,X1352) != k2_group_1(X1351)
| ~ m1_subset_1(X1353,u1_struct_0(X1351))
| ~ m1_subset_1(X1352,u1_struct_0(X1351))
| v3_struct_0(X1351)
| ~ v3_group_1(X1351)
| ~ v4_group_1(X1351)
| ~ l1_group_1(X1351) )
& ( X1353 = k3_group_1(X1351,X1352)
| k1_group_1(X1351,X1353,X1352) != k2_group_1(X1351)
| ~ m1_subset_1(X1353,u1_struct_0(X1351))
| ~ m1_subset_1(X1352,u1_struct_0(X1351))
| v3_struct_0(X1351)
| ~ v3_group_1(X1351)
| ~ v4_group_1(X1351)
| ~ l1_group_1(X1351) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])]) ).
cnf(c_0_19,negated_conjecture,
( X1 = k2_group_1(esk1_0)
| k1_group_1(esk1_0,X1,esk2_0) != esk2_0
| ~ m1_subset_1(X1,u1_struct_0(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_11,c_0_12]),c_0_13]),c_0_14]),c_0_15])]),c_0_16]) ).
cnf(c_0_20,plain,
( k1_group_1(X1,esk36_1(X1),X2) = X2
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v3_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_21,plain,
( X1 = k3_group_1(X2,X3)
| v3_struct_0(X2)
| k1_group_1(X2,X3,X1) != k2_group_1(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_22,negated_conjecture,
( esk36_1(esk1_0) = k2_group_1(esk1_0)
| ~ m1_subset_1(esk36_1(esk1_0),u1_struct_0(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_19,c_0_20]),c_0_14]),c_0_15]),c_0_12])]),c_0_16]) ).
cnf(c_0_23,plain,
( m1_subset_1(esk36_1(X1),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24,negated_conjecture,
( X1 = k3_group_1(esk1_0,esk2_0)
| k1_group_1(esk1_0,esk2_0,X1) != k2_group_1(esk1_0)
| ~ m1_subset_1(X1,u1_struct_0(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_21,c_0_12]),c_0_13]),c_0_14]),c_0_15])]),c_0_16]) ).
cnf(c_0_25,plain,
( k1_group_1(X1,X2,esk37_2(X1,X2)) = esk36_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v3_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_26,negated_conjecture,
esk36_1(esk1_0) = k2_group_1(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_14]),c_0_15])]),c_0_16]) ).
fof(c_0_27,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> k6_autgroup(X1,k1_group_1(X1,X2,X3)) = k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),k6_autgroup(X1,X2),k6_autgroup(X1,X3)) ) ) ),
inference(fof_simplification,[status(thm)],[t23_autgroup]) ).
cnf(c_0_28,negated_conjecture,
( esk37_2(esk1_0,esk2_0) = k3_group_1(esk1_0,esk2_0)
| ~ m1_subset_1(esk37_2(esk1_0,esk2_0),u1_struct_0(esk1_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_24,c_0_25]),c_0_26]),c_0_14]),c_0_15]),c_0_12])]),c_0_16]) ).
cnf(c_0_29,plain,
( m1_subset_1(esk37_2(X1,X2),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v3_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_30,plain,
! [X1273,X1274,X1275] :
( v3_struct_0(X1273)
| ~ v1_group_1(X1273)
| ~ v3_group_1(X1273)
| ~ v4_group_1(X1273)
| ~ l1_group_1(X1273)
| ~ m1_subset_1(X1274,u1_struct_0(X1273))
| ~ m1_subset_1(X1275,u1_struct_0(X1273))
| k6_autgroup(X1273,k1_group_1(X1273,X1274,X1275)) = k7_funct_2(u1_struct_0(X1273),u1_struct_0(X1273),u1_struct_0(X1273),k6_autgroup(X1273,X1274),k6_autgroup(X1273,X1275)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])]) ).
cnf(c_0_31,plain,
( k1_group_1(X1,esk37_2(X1,X2),X2) = esk36_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v3_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_32,negated_conjecture,
esk37_2(esk1_0,esk2_0) = k3_group_1(esk1_0,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_28,c_0_29]),c_0_14]),c_0_15]),c_0_12])]),c_0_16]) ).
cnf(c_0_33,negated_conjecture,
k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k6_autgroup(esk1_0,k3_group_1(esk1_0,esk2_0)),k6_autgroup(esk1_0,esk2_0)) != k6_autgroup(esk1_0,k2_group_1(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_34,plain,
( v3_struct_0(X1)
| k6_autgroup(X1,k1_group_1(X1,X2,X3)) = k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),k6_autgroup(X1,X2),k6_autgroup(X1,X3))
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_35,negated_conjecture,
k1_group_1(esk1_0,k3_group_1(esk1_0,esk2_0),esk2_0) = k2_group_1(esk1_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_31,c_0_32]),c_0_26]),c_0_14]),c_0_15]),c_0_12])]),c_0_16]) ).
cnf(c_0_36,negated_conjecture,
v1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_37,negated_conjecture,
m1_subset_1(k3_group_1(esk1_0,esk2_0),u1_struct_0(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_29,c_0_32]),c_0_14]),c_0_15]),c_0_12])]),c_0_16]) ).
cnf(c_0_38,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_33,c_0_34]),c_0_35]),c_0_13]),c_0_14]),c_0_36]),c_0_15]),c_0_12]),c_0_37])]),c_0_16]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GRP629+4 : TPTP v9.2.1. Released v3.4.0.
% 0.00/0.11 % 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
% 0.14/0.32 % Computer : n029.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Mon May 4 18:48:49 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.33 % start to proof: theBenchmark
% 64.61/62.58 % Version : CSE_E---1.7
% 64.61/62.58 % Problem : theBenchmark.p
% 64.61/62.58 % SZS status Theorem for theBenchmark.p
% 64.61/62.58 % SZS output start CNFRefutation
% See solution above
% 64.72/62.60 % Total time : 61.531s
%------------------------------------------------------------------------------