%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GRP644+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:40:32 PM UTC 2026
% Result : Theorem 16.08s 2.90s
% Output : CNFRefutation 16.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 30 ( 12 unt; 0 def)
% Number of atoms : 160 ( 0 equ)
% Maximal formula atoms : 18 ( 5 avg)
% Number of connectives : 196 ( 66 ~; 57 |; 43 &)
% ( 2 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 44 ( 0 sgn 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t22_latsubgr,conjecture,
! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m1_group_2(X2,X1)
& v1_group_1(X2) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r2_hidden(X3,k1_funct_1(k1_latsubgr(X1),X2))
=> r2_hidden(k3_group_1(X1,X3),k1_funct_1(k1_latsubgr(X1),X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t22_latsubgr) ).
fof(t18_latsubgr,axiom,
! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m1_group_2(X2,X1)
& v1_group_1(X2) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r2_hidden(X3,k1_funct_1(k1_latsubgr(X1),X2))
<=> r1_rlvect_1(X2,X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_latsubgr) ).
fof(t60_group_2,axiom,
! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_group_2(X3,X1)
=> ( r1_rlvect_1(X3,X2)
=> r1_rlvect_1(X3,k3_group_1(X1,X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+246.ax',t60_group_2) ).
fof(dt_k3_group_1,axiom,
! [X1,X2] :
( ( m1_subset_1(X2,u1_struct_0(X1))
& l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> m1_subset_1(k3_group_1(X1,X2),u1_struct_0(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+212.ax',dt_k3_group_1) ).
fof(c_0_4,negated_conjecture,
~ ! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m1_group_2(X2,X1)
& v1_group_1(X2) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r2_hidden(X3,k1_funct_1(k1_latsubgr(X1),X2))
=> r2_hidden(k3_group_1(X1,X3),k1_funct_1(k1_latsubgr(X1),X2)) ) ) ) ),
inference(assume_negation,[status(cth)],[t22_latsubgr]) ).
fof(c_0_5,negated_conjecture,
~ ! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m1_group_2(X2,X1)
& v1_group_1(X2) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r2_hidden(X3,k1_funct_1(k1_latsubgr(X1),X2))
=> r2_hidden(k3_group_1(X1,X3),k1_funct_1(k1_latsubgr(X1),X2)) ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_6,plain,
! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m1_group_2(X2,X1)
& v1_group_1(X2) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r2_hidden(X3,k1_funct_1(k1_latsubgr(X1),X2))
<=> r1_rlvect_1(X2,X3) ) ) ) ),
inference(fof_simplification,[status(thm)],[t18_latsubgr]) ).
fof(c_0_7,negated_conjecture,
( ~ r2_hidden(k3_group_1(esk1_0,esk3_0),k1_funct_1(k1_latsubgr(esk1_0),esk2_0))
& r2_hidden(esk3_0,k1_funct_1(k1_latsubgr(esk1_0),esk2_0))
& m1_subset_1(esk3_0,u1_struct_0(esk1_0))
& m1_group_2(esk2_0,esk1_0)
& v1_group_1(esk2_0)
& l1_group_1(esk1_0)
& v4_group_1(esk1_0)
& v3_group_1(esk1_0)
& ~ v3_struct_0(esk1_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])]) ).
fof(c_0_8,plain,
! [X132,X133,X134] :
( ( ~ l1_group_1(X132)
| ~ v4_group_1(X132)
| ~ v3_group_1(X132)
| v3_struct_0(X132)
| ~ m1_group_2(X133,X132)
| ~ v1_group_1(X133)
| ~ m1_subset_1(X134,u1_struct_0(X132))
| r2_hidden(X134,k1_funct_1(k1_latsubgr(X132),X133))
| ~ r1_rlvect_1(X133,X134) )
& ( ~ l1_group_1(X132)
| ~ v4_group_1(X132)
| ~ v3_group_1(X132)
| v3_struct_0(X132)
| ~ m1_group_2(X133,X132)
| ~ v1_group_1(X133)
| ~ m1_subset_1(X134,u1_struct_0(X132))
| r1_rlvect_1(X133,X134)
| ~ r2_hidden(X134,k1_funct_1(k1_latsubgr(X132),X133)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])])]) ).
fof(c_0_9,plain,
! [X1] :
( ( l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_group_2(X3,X1)
=> ( r1_rlvect_1(X3,X2)
=> r1_rlvect_1(X3,k3_group_1(X1,X2)) ) ) ) ),
inference(fof_simplification,[status(thm)],[t60_group_2]) ).
cnf(c_0_10,negated_conjecture,
~ r2_hidden(k3_group_1(esk1_0,esk3_0),k1_funct_1(k1_latsubgr(esk1_0),esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
( ~ l1_group_1(X3)
| ~ v4_group_1(X3)
| ~ v3_group_1(X3)
| ~ m1_group_2(X1,X3)
| ~ v1_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X3))
| ~ r1_rlvect_1(X1,X2)
| v3_struct_0(X3)
| r2_hidden(X2,k1_funct_1(k1_latsubgr(X3),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,negated_conjecture,
m1_group_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,negated_conjecture,
v4_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_14,negated_conjecture,
v3_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_15,negated_conjecture,
v1_group_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_16,negated_conjecture,
l1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_17,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_18,plain,
! [X197,X198,X199] :
( r1_rlvect_1(X199,k3_group_1(X197,X198))
| ~ r1_rlvect_1(X199,X198)
| ~ m1_group_2(X199,X197)
| ~ m1_subset_1(X198,u1_struct_0(X197))
| ~ l1_group_1(X197)
| ~ v4_group_1(X197)
| ~ v3_group_1(X197)
| v3_struct_0(X197) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])]) ).
cnf(c_0_19,plain,
( ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| ~ m1_group_2(X3,X2)
| ~ v1_group_1(X3)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ r2_hidden(X1,k1_funct_1(k1_latsubgr(X2),X3))
| v3_struct_0(X2)
| r1_rlvect_1(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_20,negated_conjecture,
r2_hidden(esk3_0,k1_funct_1(k1_latsubgr(esk1_0),esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_21,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_22,plain,
! [X1,X2] :
( ( m1_subset_1(X2,u1_struct_0(X1))
& l1_group_1(X1)
& v4_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) )
=> m1_subset_1(k3_group_1(X1,X2),u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[dt_k3_group_1]) ).
cnf(c_0_23,negated_conjecture,
( ~ m1_subset_1(k3_group_1(esk1_0,esk3_0),u1_struct_0(esk1_0))
| ~ r1_rlvect_1(esk2_0,k3_group_1(esk1_0,esk3_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_10,c_0_11]),c_0_12]),c_0_13]),c_0_14]),c_0_15]),c_0_16])]),c_0_17]) ).
cnf(c_0_24,plain,
( ~ r1_rlvect_1(X3,X2)
| ~ m1_group_2(X3,X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| r1_rlvect_1(X3,k3_group_1(X1,X2))
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_25,negated_conjecture,
r1_rlvect_1(esk2_0,esk3_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_12]),c_0_13]),c_0_14]),c_0_15]),c_0_16]),c_0_21])]),c_0_17]) ).
fof(c_0_26,plain,
! [X186,X187] :
( m1_subset_1(k3_group_1(X186,X187),u1_struct_0(X186))
| ~ m1_subset_1(X187,u1_struct_0(X186))
| ~ l1_group_1(X186)
| ~ v4_group_1(X186)
| ~ v3_group_1(X186)
| v3_struct_0(X186) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])]) ).
cnf(c_0_27,negated_conjecture,
~ m1_subset_1(k3_group_1(esk1_0,esk3_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_12]),c_0_13]),c_0_14]),c_0_16]),c_0_25]),c_0_21])]),c_0_17]) ).
cnf(c_0_28,plain,
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| m1_subset_1(k3_group_1(X1,X2),u1_struct_0(X1))
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_29,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_27,c_0_28]),c_0_13]),c_0_14]),c_0_16]),c_0_21])]),c_0_17]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GRP644+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.42 % Computer : n016.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Sun Sep 20 20:30:38 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.49 Running first-order theorem proving
% 0.17/0.49 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.08/2.90 % Version: 3.5.1
% 16.08/2.90 % Preprocessing class: FMLLSMLLSSSNFFN.
% 16.08/2.90 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 16.08/2.90 % Starting new_bool_3 with 900s (3) cores
% 16.08/2.90 % Starting new_bool_1 with 900s (3) cores
% 16.08/2.90 % Starting sh5l with 300s (1) cores
% 16.08/2.90 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 16.08/2.90 % new_bool_1 with pid 747348 completed with status 0
% 16.08/2.90 % Result found by new_bool_1
% 16.08/2.90 % Preprocessing class: FMLLSMLLSSSNFFN.
% 16.08/2.90 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 16.08/2.90 % Starting new_bool_3 with 900s (3) cores
% 16.08/2.90 % Starting new_bool_1 with 900s (3) cores
% 16.08/2.90 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 16.08/2.90 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 16.08/2.90 % Search class: FGHSM-SMLM32-MFFFFFNN
% 16.08/2.90 % Scheduled 13 strats onto 3 cores with 900 seconds (900 total)
% 16.08/2.90 % Starting SubtermCWHack with 82s (1) cores
% 16.08/2.90 % Starting new_bool_1 with 91s (1) cores
% 16.08/2.90 % Starting C12_02_nc_SAT001_MinMin_p005000_rr with 68s (1) cores
% 16.08/2.90 % C12_02_nc_SAT001_MinMin_p005000_rr with pid 747353 completed with status 0
% 16.08/2.90 % Result found by C12_02_nc_SAT001_MinMin_p005000_rr
% 16.08/2.90 % Preprocessing class: FMLLSMLLSSSNFFN.
% 16.08/2.90 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 16.08/2.90 % Starting new_bool_3 with 900s (3) cores
% 16.08/2.90 % Starting new_bool_1 with 900s (3) cores
% 16.08/2.90 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 16.08/2.90 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 16.08/2.90 % Search class: FGHSM-SMLM32-MFFFFFNN
% 16.08/2.90 % Scheduled 13 strats onto 3 cores with 900 seconds (900 total)
% 16.08/2.90 % Starting SubtermCWHack with 82s (1) cores
% 16.08/2.90 % Starting new_bool_1 with 91s (1) cores
% 16.08/2.90 % Starting C12_02_nc_SAT001_MinMin_p005000_rr with 68s (1) cores
% 16.08/2.90 % Preprocessing time : 0.049 s
% 16.08/2.90 % Presaturation interreduction done
% 16.08/2.90
% 16.08/2.90 % Proof found!
% 16.08/2.90 % SZS status Theorem
% 16.08/2.90 % SZS output start CNFRefutation
% See solution above
% 16.08/2.90 % Parsed axioms : 5661
% 16.08/2.90 % Removed by relevancy pruning/SinE : 4947
% 16.08/2.90 % Initial clauses : 1436
% 16.08/2.90 % Removed in clause preprocessing : 65
% 16.08/2.90 % Initial clauses in saturation : 1371
% 16.08/2.90 % Processed clauses : 7845
% 16.08/2.90 % ...of these trivial : 50
% 16.08/2.90 % ...subsumed : 4632
% 16.08/2.90 % ...remaining for further processing : 3163
% 16.08/2.90 % Other redundant clauses eliminated : 179
% 16.08/2.90 % Clauses deleted for lack of memory : 0
% 16.08/2.90 % Backward-subsumed : 26
% 16.08/2.90 % Backward-rewritten : 44
% 16.08/2.90 % Generated clauses : 19977
% 16.08/2.90 % ...of the previous two non-redundant : 17618
% 16.08/2.90 % ...aggressively subsumed : 0
% 16.08/2.90 % Contextual simplify-reflections : 74
% 16.08/2.90 % Paramodulations : 19792
% 16.08/2.90 % Factorizations : 2
% 16.08/2.90 % NegExts : 0
% 16.08/2.90 % Equation resolutions : 187
% 16.08/2.90 % Disequality decompositions : 0
% 16.08/2.90 % Total rewrite steps : 5101
% 16.08/2.90 % ...of those cached : 4219
% 16.08/2.90 % Propositional unsat checks : 0
% 16.08/2.90 % Propositional check models : 0
% 16.08/2.90 % Propositional check unsatisfiable : 0
% 16.08/2.90 % Propositional clauses : 0
% 16.08/2.90 % Propositional clauses after purity: 0
% 16.08/2.90 % Propositional unsat core size : 0
% 16.08/2.90 % Propositional preprocessing time : 0.000
% 16.08/2.90 % Propositional encoding time : 0.000
% 16.08/2.90 % Propositional solver time : 0.000
% 16.08/2.90 % Success case prop preproc time : 0.000
% 16.08/2.90 % Success case prop encoding time : 0.000
% 16.08/2.90 % Success case prop solver time : 0.000
% 16.08/2.90 % Current number of processed clauses : 1719
% 16.08/2.90 % Positive orientable unit clauses : 232
% 16.08/2.90 % Positive unorientable unit clauses: 2
% 16.08/2.90 % Negative unit clauses : 210
% 16.08/2.90 % Non-unit-clauses : 1275
% 16.08/2.90 % Current number of unprocessed clauses: 12291
% 16.08/2.90 % ...number of literals in the above : 44327
% 16.08/2.90 % Current number of archived formulas : 0
% 16.08/2.90 % Current number of archived clauses : 1349
% 16.08/2.90 % Clause-clause subsumption calls (NU) : 1999146
% 16.08/2.90 % Rec. Clause-clause subsumption calls : 268681
% 16.08/2.90 % Non-unit clause-clause subsumptions : 2205
% 16.08/2.90 % Unit Clause-clause subsumption calls : 29694
% 16.08/2.90 % Rewrite failures with RHS unbound : 0
% 16.08/2.90 % BW rewrite match attempts : 225
% 16.08/2.90 % BW rewrite match successes : 175
% 16.08/2.90 % Condensation attempts : 0
% 16.08/2.90 % Condensation successes : 0
% 16.08/2.90 % Termbank termtop insertions : 476989
% 16.08/2.90 % Search garbage collected termcells : 64797
% 16.08/2.90
% 16.08/2.90 % -------------------------------------------------
% 16.08/2.90 % User time : 1.955 s
% 16.08/2.90 % System time : 0.055 s
% 16.08/2.90 % Total time : 2.011 s
% 16.08/2.90 % Maximum resident set size: 15664 pages
% 16.08/2.90
% 16.08/2.90 % -------------------------------------------------
% 16.08/2.90 % User time : 5.958 s
% 16.08/2.90 % System time : 0.196 s
% 16.08/2.90 % Total time : 6.154 s
% 16.08/2.90 % Maximum resident set size: 11520 pages
% 16.08/2.90 % E exiting
%------------------------------------------------------------------------------