%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GRP618+3 : 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 : n023.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 04:26:32 PM UTC 2026
% Result : Theorem 9.48s 9.18s
% Output : CNFRefutation 9.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of formulae : 65 ( 13 unt; 0 def)
% Number of atoms : 344 ( 0 equ)
% Maximal formula atoms : 32 ( 5 avg)
% Number of connectives : 436 ( 157 ~; 161 |; 58 &)
% ( 3 <=>; 57 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 112 ( 0 sgn 72 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t49_group_2,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X2)
& v3_group_1(X2)
& l1_group_1(X2) )
=> ! [X3] :
( m1_group_2(X3,X2)
=> ( r1_rlvect_1(X3,X1)
=> r1_rlvect_1(X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+246.ax',t49_group_2) ).
fof(t1_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_group_2(X2,X1)
=> ( ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( m1_subset_1(X4,u1_struct_0(X2))
=> r1_rlvect_1(X2,k2_group_3(X1,X4,X3)) ) ) )
<=> v1_group_3(X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_autgroup) ).
fof(t3_rlvect_1,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> r1_rlvect_1(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+210.ax',t3_rlvect_1) ).
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/Axioms/SET007/SET007+246.ax',dt_m1_group_2) ).
fof(dt_l1_group_1,axiom,
! [X1] :
( l1_group_1(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+212.ax',dt_l1_group_1) ).
fof(d1_rlvect_1,axiom,
! [X1] :
( l1_struct_0(X1)
=> ! [X2] :
( r1_rlvect_1(X1,X2)
<=> r2_hidden(X2,u1_struct_0(X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+210.ax',d1_rlvect_1) ).
fof(l1_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_group_2(X2,X1)
=> ( ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( m1_subset_1(X4,u1_struct_0(X2))
=> r1_rlvect_1(X2,k2_group_3(X1,X4,X3)) ) ) )
=> v1_group_3(X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l1_autgroup) ).
fof(t1_subset,axiom,
! [X1,X2] :
( r2_hidden(X1,X2)
=> m1_subset_1(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+9.ax',t1_subset) ).
fof(l2_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_group_2(X2,X1)
=> ( v1_group_3(X2,X1)
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( m1_subset_1(X4,u1_struct_0(X2))
=> r1_rlvect_1(X2,k2_group_3(X1,X4,X3)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l2_autgroup) ).
fof(t51_group_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X2))
=> m1_subset_1(X3,u1_struct_0(X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+246.ax',t51_group_2) ).
fof(c_0_10,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X2)
& v3_group_1(X2)
& l1_group_1(X2) )
=> ! [X3] :
( m1_group_2(X3,X2)
=> ( r1_rlvect_1(X3,X1)
=> r1_rlvect_1(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[t49_group_2]) ).
fof(c_0_11,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_group_2(X2,X1)
=> ( ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( m1_subset_1(X4,u1_struct_0(X2))
=> r1_rlvect_1(X2,k2_group_3(X1,X4,X3)) ) ) )
<=> v1_group_3(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t1_autgroup])]) ).
fof(c_0_12,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> r1_rlvect_1(X1,X2) ) ),
inference(fof_simplification,[status(thm)],[t3_rlvect_1]) ).
fof(c_0_13,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_14,plain,
! [X575,X576,X577] :
( v3_struct_0(X576)
| ~ v3_group_1(X576)
| ~ l1_group_1(X576)
| ~ m1_group_2(X577,X576)
| ~ r1_rlvect_1(X577,X575)
| r1_rlvect_1(X576,X575) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])]) ).
fof(c_0_15,negated_conjecture,
! [X565,X566] :
( ~ 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_group_2(esk2_0,esk1_0)
& ( m1_subset_1(esk3_0,u1_struct_0(esk1_0))
| ~ v1_group_3(esk2_0,esk1_0) )
& ( m1_subset_1(esk4_0,u1_struct_0(esk1_0))
| ~ v1_group_3(esk2_0,esk1_0) )
& ( m1_subset_1(esk4_0,u1_struct_0(esk2_0))
| ~ v1_group_3(esk2_0,esk1_0) )
& ( ~ r1_rlvect_1(esk2_0,k2_group_3(esk1_0,esk4_0,esk3_0))
| ~ v1_group_3(esk2_0,esk1_0) )
& ( ~ m1_subset_1(X565,u1_struct_0(esk1_0))
| ~ m1_subset_1(X566,u1_struct_0(esk1_0))
| ~ m1_subset_1(X566,u1_struct_0(esk2_0))
| r1_rlvect_1(esk2_0,k2_group_3(esk1_0,X566,X565))
| v1_group_3(esk2_0,esk1_0) ) ),
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_11])])])])]) ).
fof(c_0_16,plain,
! [X573,X574] :
( v3_struct_0(X573)
| ~ l1_struct_0(X573)
| ~ m1_subset_1(X574,u1_struct_0(X573))
| r1_rlvect_1(X573,X574) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])]) ).
fof(c_0_17,plain,
! [X783] :
( ~ l1_group_1(X783)
| l1_struct_0(X783) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_group_1])]) ).
fof(c_0_18,plain,
! [X682,X683] :
( ( ~ v3_struct_0(X683)
| ~ m1_group_2(X683,X682)
| v3_struct_0(X682)
| ~ v3_group_1(X682)
| ~ l1_group_1(X682) )
& ( v3_group_1(X683)
| ~ m1_group_2(X683,X682)
| v3_struct_0(X682)
| ~ v3_group_1(X682)
| ~ l1_group_1(X682) )
& ( l1_group_1(X683)
| ~ m1_group_2(X683,X682)
| v3_struct_0(X682)
| ~ v3_group_1(X682)
| ~ l1_group_1(X682) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])]) ).
cnf(c_0_19,plain,
( v3_struct_0(X1)
| r1_rlvect_1(X1,X3)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(X2,X1)
| ~ r1_rlvect_1(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,negated_conjecture,
m1_group_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_21,negated_conjecture,
v3_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_22,negated_conjecture,
l1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_23,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_24,plain,
( v3_struct_0(X1)
| r1_rlvect_1(X1,X2)
| ~ l1_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_25,plain,
( l1_struct_0(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_26,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_18]) ).
cnf(c_0_27,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_18]) ).
fof(c_0_28,plain,
! [X571,X572] :
( ( ~ r1_rlvect_1(X571,X572)
| r2_hidden(X572,u1_struct_0(X571))
| ~ l1_struct_0(X571) )
& ( ~ r2_hidden(X572,u1_struct_0(X571))
| r1_rlvect_1(X571,X572)
| ~ l1_struct_0(X571) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_rlvect_1])])])]) ).
cnf(c_0_29,negated_conjecture,
( r1_rlvect_1(esk1_0,X1)
| ~ r1_rlvect_1(esk2_0,X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]),c_0_22])]),c_0_23]) ).
cnf(c_0_30,plain,
( r1_rlvect_1(X1,X2)
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_31,negated_conjecture,
l1_group_1(esk2_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_20]),c_0_21]),c_0_22])]),c_0_23]) ).
cnf(c_0_32,negated_conjecture,
~ v3_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_27,c_0_20]),c_0_21]),c_0_22])]),c_0_23]) ).
cnf(c_0_33,plain,
( r2_hidden(X2,u1_struct_0(X1))
| ~ r1_rlvect_1(X1,X2)
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_34,negated_conjecture,
( r1_rlvect_1(esk1_0,X1)
| ~ m1_subset_1(X1,u1_struct_0(esk2_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31])]),c_0_32]) ).
fof(c_0_35,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> ( ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( m1_subset_1(X4,u1_struct_0(X2))
=> r1_rlvect_1(X2,k2_group_3(X1,X4,X3)) ) ) )
=> v1_group_3(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[l1_autgroup]) ).
fof(c_0_36,plain,
! [X745,X746] :
( ~ r2_hidden(X745,X746)
| m1_subset_1(X745,X746) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).
cnf(c_0_37,negated_conjecture,
( r2_hidden(X1,u1_struct_0(esk1_0))
| ~ l1_struct_0(esk1_0)
| ~ m1_subset_1(X1,u1_struct_0(esk2_0)) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
fof(c_0_38,plain,
! [X660,X661] :
( ( m1_subset_1(esk9_2(X660,X661),u1_struct_0(X660))
| v1_group_3(X661,X660)
| ~ m1_group_2(X661,X660)
| v3_struct_0(X660)
| ~ v1_group_1(X660)
| ~ v3_group_1(X660)
| ~ v4_group_1(X660)
| ~ l1_group_1(X660) )
& ( m1_subset_1(esk10_2(X660,X661),u1_struct_0(X660))
| v1_group_3(X661,X660)
| ~ m1_group_2(X661,X660)
| v3_struct_0(X660)
| ~ v1_group_1(X660)
| ~ v3_group_1(X660)
| ~ v4_group_1(X660)
| ~ l1_group_1(X660) )
& ( m1_subset_1(esk10_2(X660,X661),u1_struct_0(X661))
| v1_group_3(X661,X660)
| ~ m1_group_2(X661,X660)
| v3_struct_0(X660)
| ~ v1_group_1(X660)
| ~ v3_group_1(X660)
| ~ v4_group_1(X660)
| ~ l1_group_1(X660) )
& ( ~ r1_rlvect_1(X661,k2_group_3(X660,esk10_2(X660,X661),esk9_2(X660,X661)))
| v1_group_3(X661,X660)
| ~ m1_group_2(X661,X660)
| v3_struct_0(X660)
| ~ v1_group_1(X660)
| ~ v3_group_1(X660)
| ~ v4_group_1(X660)
| ~ l1_group_1(X660) ) ),
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_35])])])])]) ).
cnf(c_0_39,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_40,negated_conjecture,
( r2_hidden(X1,u1_struct_0(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_25]),c_0_22])]) ).
cnf(c_0_41,plain,
( v1_group_3(X1,X2)
| v3_struct_0(X2)
| ~ r1_rlvect_1(X1,k2_group_3(X2,esk10_2(X2,X1),esk9_2(X2,X1)))
| ~ m1_group_2(X1,X2)
| ~ v1_group_1(X2)
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_42,negated_conjecture,
( r1_rlvect_1(esk2_0,k2_group_3(esk1_0,X2,X1))
| v1_group_3(esk2_0,esk1_0)
| ~ m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ m1_subset_1(X2,u1_struct_0(esk1_0))
| ~ m1_subset_1(X2,u1_struct_0(esk2_0)) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_43,negated_conjecture,
v4_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_44,negated_conjecture,
v1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_45,negated_conjecture,
( m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(esk2_0)) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_46,negated_conjecture,
( v1_group_3(esk2_0,esk1_0)
| ~ m1_subset_1(esk10_2(esk1_0,esk2_0),u1_struct_0(esk2_0))
| ~ m1_subset_1(esk9_2(esk1_0,esk2_0),u1_struct_0(esk1_0)) ),
inference(csr,[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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_20]),c_0_43]),c_0_21]),c_0_44]),c_0_22])]),c_0_23]),c_0_45]) ).
cnf(c_0_47,plain,
( m1_subset_1(esk10_2(X1,X2),u1_struct_0(X2))
| v1_group_3(X2,X1)
| v3_struct_0(X1)
| ~ m1_group_2(X2,X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
fof(c_0_48,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> ( v1_group_3(X2,X1)
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( m1_subset_1(X4,u1_struct_0(X2))
=> r1_rlvect_1(X2,k2_group_3(X1,X4,X3)) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[l2_autgroup]) ).
fof(c_0_49,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X2))
=> m1_subset_1(X3,u1_struct_0(X1)) ) ) ),
inference(fof_simplification,[status(thm)],[t51_group_2]) ).
cnf(c_0_50,negated_conjecture,
( v1_group_3(esk2_0,esk1_0)
| ~ m1_subset_1(esk9_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_20]),c_0_43]),c_0_21]),c_0_44]),c_0_22])]),c_0_23]) ).
cnf(c_0_51,plain,
( m1_subset_1(esk9_2(X1,X2),u1_struct_0(X1))
| v1_group_3(X2,X1)
| v3_struct_0(X1)
| ~ m1_group_2(X2,X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
fof(c_0_52,plain,
! [X664,X665,X666,X667] :
( v3_struct_0(X664)
| ~ v1_group_1(X664)
| ~ v3_group_1(X664)
| ~ v4_group_1(X664)
| ~ l1_group_1(X664)
| ~ m1_group_2(X665,X664)
| ~ v1_group_3(X665,X664)
| ~ m1_subset_1(X666,u1_struct_0(X664))
| ~ m1_subset_1(X667,u1_struct_0(X664))
| ~ m1_subset_1(X667,u1_struct_0(X665))
| r1_rlvect_1(X665,k2_group_3(X664,X667,X666)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_48])])]) ).
fof(c_0_53,plain,
! [X672,X673,X674] :
( v3_struct_0(X672)
| ~ v3_group_1(X672)
| ~ l1_group_1(X672)
| ~ m1_group_2(X673,X672)
| ~ m1_subset_1(X674,u1_struct_0(X673))
| m1_subset_1(X674,u1_struct_0(X672)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_49])])]) ).
cnf(c_0_54,negated_conjecture,
( ~ r1_rlvect_1(esk2_0,k2_group_3(esk1_0,esk4_0,esk3_0))
| ~ v1_group_3(esk2_0,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_55,negated_conjecture,
v1_group_3(esk2_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_20]),c_0_43]),c_0_21]),c_0_44]),c_0_22])]),c_0_23]) ).
cnf(c_0_56,plain,
( v3_struct_0(X1)
| r1_rlvect_1(X2,k2_group_3(X1,X4,X3))
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(X2,X1)
| ~ v1_group_3(X2,X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_57,plain,
( v3_struct_0(X1)
| m1_subset_1(X3,u1_struct_0(X1))
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(X2,X1)
| ~ m1_subset_1(X3,u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_58,negated_conjecture,
( m1_subset_1(esk4_0,u1_struct_0(esk2_0))
| ~ v1_group_3(esk2_0,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_59,negated_conjecture,
( m1_subset_1(esk3_0,u1_struct_0(esk1_0))
| ~ v1_group_3(esk2_0,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_60,negated_conjecture,
~ r1_rlvect_1(esk2_0,k2_group_3(esk1_0,esk4_0,esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_55])]) ).
cnf(c_0_61,plain,
( r1_rlvect_1(X1,k2_group_3(X2,X3,X4))
| v3_struct_0(X2)
| ~ v1_group_3(X1,X2)
| ~ m1_group_2(X1,X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| ~ v1_group_1(X2)
| ~ l1_group_1(X2)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X2)) ),
inference(csr,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_62,negated_conjecture,
m1_subset_1(esk4_0,u1_struct_0(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_55])]) ).
cnf(c_0_63,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_59,c_0_55])]) ).
cnf(c_0_64,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_55]),c_0_20]),c_0_43]),c_0_21]),c_0_44]),c_0_22]),c_0_62]),c_0_63])]),c_0_23]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP618+3 : 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
% 0.15/0.33 % Computer : n023.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 18:47:55 EDT 2026
% 0.15/0.34 % CPUTime :
% 0.15/0.35 % start to proof: theBenchmark
% 9.48/9.18 % Version : CSE_E---1.7
% 9.48/9.18 % Problem : theBenchmark.p
% 9.48/9.18 % SZS status Theorem for theBenchmark.p
% 9.48/9.18 % SZS output start CNFRefutation
% See solution above
% 9.48/9.19 % Total time : 8.684s
%------------------------------------------------------------------------------