%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SET717+4 : TPTP v9.3.1. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 02:15:04 PM UTC 2026
% Result : Theorem 3.09s 1.16s
% Output : CNFRefutation 3.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 25 ( 6 unt; 0 def)
% Number of atoms : 94 ( 0 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 117 ( 48 ~; 43 |; 20 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-7 aty)
% Number of variables : 70 ( 0 sgn 37 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thII08,conjecture,
! [X6,X10,X1,X2,X11] :
( ( surjective(X10,X2,X11)
& surjective(X6,X1,X2)
& maps(X10,X2,X11)
& maps(X6,X1,X2) )
=> surjective(compose_function(X10,X6,X1,X2,X11),X1,X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thII08) ).
fof(surjective,axiom,
! [X6,X1,X2] :
( surjective(X6,X1,X2)
<=> ! [X5] :
( member(X5,X2)
=> ? [X4] :
( apply(X6,X4,X5)
& member(X4,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+1.ax',surjective) ).
fof(compose_function,axiom,
! [X10,X6,X1,X2,X11,X3,X12] :
( ( member(X12,X11)
& member(X3,X1) )
=> ( apply(compose_function(X10,X6,X1,X2,X11),X3,X12)
<=> ? [X5] :
( apply(X10,X5,X12)
& apply(X6,X3,X5)
& member(X5,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+1.ax',compose_function) ).
fof(c_0_3,negated_conjecture,
~ ! [X6,X10,X1,X2,X11] :
( ( surjective(X10,X2,X11)
& surjective(X6,X1,X2)
& maps(X10,X2,X11)
& maps(X6,X1,X2) )
=> surjective(compose_function(X10,X6,X1,X2,X11),X1,X11) ),
inference(assume_negation,[status(cth)],[thII08]) ).
fof(c_0_4,negated_conjecture,
( ~ surjective(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,esk45_0),esk43_0,esk45_0)
& surjective(esk42_0,esk44_0,esk45_0)
& surjective(esk41_0,esk43_0,esk44_0)
& maps(esk42_0,esk44_0,esk45_0)
& maps(esk41_0,esk43_0,esk44_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])]) ).
fof(c_0_5,plain,
! [X131,X132,X133,X134,X136,X137,X138,X140] :
( ( surjective(X136,X137,X138)
| ~ apply(X136,X140,esk22_3(X136,X137,X138))
| ~ member(X140,X137) )
& ( surjective(X136,X137,X138)
| member(esk22_3(X136,X137,X138),X138) )
& ( ~ surjective(X131,X132,X133)
| ~ member(X134,X133)
| apply(X131,esk21_4(X131,X132,X133,X134),X134) )
& ( ~ surjective(X131,X132,X133)
| ~ member(X134,X133)
| member(esk21_4(X131,X132,X133,X134),X132) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[surjective])])])])])])]) ).
cnf(c_0_6,negated_conjecture,
~ surjective(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,esk45_0),esk43_0,esk45_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
( ~ apply(X3,X1,esk22_3(X3,X2,X4))
| ~ member(X1,X2)
| surjective(X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_8,plain,
! [X90,X91,X92,X93,X94,X95,X96,X98] :
( ( ~ member(X96,X94)
| ~ member(X95,X92)
| apply(compose_function(X90,X91,X92,X93,X94),X95,X96)
| ~ apply(X90,X98,X96)
| ~ apply(X91,X95,X98)
| ~ member(X98,X93) )
& ( ~ member(X96,X94)
| ~ member(X95,X92)
| ~ apply(compose_function(X90,X91,X92,X93,X94),X95,X96)
| apply(X90,esk13_7(X90,X91,X92,X93,X94,X95,X96),X96) )
& ( ~ member(X96,X94)
| ~ member(X95,X92)
| ~ apply(compose_function(X90,X91,X92,X93,X94),X95,X96)
| apply(X91,X95,esk13_7(X90,X91,X92,X93,X94,X95,X96)) )
& ( ~ member(X96,X94)
| ~ member(X95,X92)
| ~ apply(compose_function(X90,X91,X92,X93,X94),X95,X96)
| member(esk13_7(X90,X91,X92,X93,X94,X95,X96),X93) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[compose_function])])])])])]) ).
cnf(c_0_9,plain,
( surjective(X1,X2,X3)
| member(esk22_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_10,negated_conjecture,
( ~ member(X1,esk43_0)
| ~ apply(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,esk45_0),X1,esk22_3(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,esk45_0),esk43_0,esk45_0)) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_11,plain,
( ~ member(X6,X8)
| ~ member(X4,X7)
| ~ apply(X5,X1,X6)
| ~ apply(X3,X4,X1)
| ~ member(X1,X2)
| apply(compose_function(X5,X3,X7,X2,X8),X4,X6) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,negated_conjecture,
member(esk22_3(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,esk45_0),esk43_0,esk45_0),esk45_0),
inference(spm,[status(thm)],[c_0_6,c_0_9]) ).
cnf(c_0_13,plain,
( ~ surjective(X1,X2,X3)
| ~ member(X4,X3)
| apply(X1,esk21_4(X1,X2,X3,X4),X4) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_14,negated_conjecture,
surjective(esk42_0,esk44_0,esk45_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_15,negated_conjecture,
( ~ member(X1,esk44_0)
| ~ member(X2,esk43_0)
| ~ apply(esk41_0,X2,X1)
| ~ apply(esk42_0,X1,esk22_3(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,esk45_0),esk43_0,esk45_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12])]) ).
cnf(c_0_16,negated_conjecture,
( ~ member(X1,esk45_0)
| apply(esk42_0,esk21_4(esk42_0,esk44_0,esk45_0,X1),X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,negated_conjecture,
surjective(esk41_0,esk43_0,esk44_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_18,plain,
( ~ surjective(X1,X2,X3)
| ~ member(X4,X3)
| member(esk21_4(X1,X2,X3,X4),X2) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_19,negated_conjecture,
( ~ member(X1,esk43_0)
| ~ member(esk21_4(esk42_0,esk44_0,esk45_0,esk22_3(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,esk45_0),esk43_0,esk45_0)),esk44_0)
| ~ apply(esk41_0,X1,esk21_4(esk42_0,esk44_0,esk45_0,esk22_3(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,esk45_0),esk43_0,esk45_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_12])]) ).
cnf(c_0_20,negated_conjecture,
( ~ member(X1,esk44_0)
| apply(esk41_0,esk21_4(esk41_0,esk43_0,esk44_0,X1),X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_17]) ).
cnf(c_0_21,negated_conjecture,
( ~ member(X1,esk44_0)
| member(esk21_4(esk41_0,esk43_0,esk44_0,X1),esk43_0) ),
inference(spm,[status(thm)],[c_0_18,c_0_17]) ).
cnf(c_0_22,negated_conjecture,
~ member(esk21_4(esk42_0,esk44_0,esk45_0,esk22_3(compose_function(esk42_0,esk41_0,esk43_0,esk44_0,esk45_0),esk43_0,esk45_0)),esk44_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]) ).
cnf(c_0_23,negated_conjecture,
( ~ member(X1,esk45_0)
| member(esk21_4(esk42_0,esk44_0,esk45_0,X1),esk44_0) ),
inference(spm,[status(thm)],[c_0_18,c_0_14]) ).
cnf(c_0_24,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_12])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET717+4 : TPTP v9.3.1. Bugfixed v2.2.1.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.20/0.46 % Computer : n013.cluster.edu
% 0.20/0.46 % Model : x86_64 x86_64
% 0.20/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.46 % Memory : 8046.5625MB
% 0.20/0.46 % OS : Linux 6.8.0-71-generic
% 0.20/0.46 % CPULimit : 300
% 0.20/0.46 % WCLimit : 300
% 0.20/0.46 % DateTime : Mon Sep 21 05:33:22 UTC 2026
% 0.20/0.46 % CPUTime :
% 0.20/0.46 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.52 Running first-order theorem proving
% 0.24/0.53 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 3.09/1.16 % Version: 3.5.1
% 3.09/1.16 % Preprocessing class: FSLSSMSSSSSNFFN.
% 3.09/1.16 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.09/1.16 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 3.09/1.16 % Starting new_bool_3 with 300s (1) cores
% 3.09/1.16 % Starting new_bool_1 with 300s (1) cores
% 3.09/1.16 % Starting sh5l with 300s (1) cores
% 3.09/1.16 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 35908 completed with status 0
% 3.09/1.16 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 3.09/1.16 % Preprocessing class: FSLSSMSSSSSNFFN.
% 3.09/1.16 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.09/1.16 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 3.09/1.16 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 3.09/1.16 % No SInE strategy applied
% 3.09/1.16 % Search class: FGHSF-FSLS33-SFFFFFNN
% 3.09/1.16 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 3.09/1.16 % Starting SubtermCWHack with 136s (1) cores
% 3.09/1.16 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 3.09/1.16 % Starting new_bool_3 with 458s (1) cores
% 3.09/1.16 % Starting G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 211s (1) cores
% 3.09/1.16 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S045I with 136s (1) cores
% 3.09/1.16 % G-E--_208_C18_F1_SE_CS_SP_PS_S045I with pid 35919 completed with status 0
% 3.09/1.16 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S045I
% 3.09/1.16 % Preprocessing class: FSLSSMSSSSSNFFN.
% 3.09/1.16 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.09/1.16 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 3.09/1.16 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 3.09/1.16 % No SInE strategy applied
% 3.09/1.16 % Search class: FGHSF-FSLS33-SFFFFFNN
% 3.09/1.16 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 3.09/1.16 % Starting SubtermCWHack with 136s (1) cores
% 3.09/1.16 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 3.09/1.16 % Starting new_bool_3 with 458s (1) cores
% 3.09/1.16 % Starting G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 211s (1) cores
% 3.09/1.16 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S045I with 136s (1) cores
% 3.09/1.16 % Preprocessing time : 0.005 s
% 3.09/1.16 % Presaturation interreduction done
% 3.09/1.16
% 3.09/1.16 % Proof found!
% 3.09/1.16 % SZS status Theorem
% 3.09/1.16 % SZS output start CNFRefutation
% See solution above
% 3.09/1.16 % Parsed axioms : 29
% 3.09/1.16 % Removed by relevancy pruning/SinE : 0
% 3.09/1.16 % Initial clauses : 139
% 3.09/1.16 % Removed in clause preprocessing : 0
% 3.09/1.16 % Initial clauses in saturation : 139
% 3.09/1.16 % Processed clauses : 1181
% 3.09/1.16 % ...of these trivial : 55
% 3.09/1.16 % ...subsumed : 118
% 3.09/1.16 % ...remaining for further processing : 1008
% 3.09/1.16 % Other redundant clauses eliminated : 3
% 3.09/1.16 % Clauses deleted for lack of memory : 0
% 3.09/1.16 % Backward-subsumed : 1
% 3.09/1.16 % Backward-rewritten : 0
% 3.09/1.16 % Generated clauses : 6758
% 3.09/1.16 % ...of the previous two non-redundant : 6522
% 3.09/1.16 % ...aggressively subsumed : 0
% 3.09/1.16 % Contextual simplify-reflections : 4
% 3.09/1.16 % Paramodulations : 6755
% 3.09/1.16 % Factorizations : 0
% 3.09/1.16 % NegExts : 0
% 3.09/1.16 % Equation resolutions : 3
% 3.09/1.16 % Disequality decompositions : 0
% 3.09/1.16 % Total rewrite steps : 278
% 3.09/1.16 % ...of those cached : 188
% 3.09/1.16 % Propositional unsat checks : 0
% 3.09/1.16 % Propositional check models : 0
% 3.09/1.16 % Propositional check unsatisfiable : 0
% 3.09/1.16 % Propositional clauses : 0
% 3.09/1.16 % Propositional clauses after purity: 0
% 3.09/1.16 % Propositional unsat core size : 0
% 3.09/1.16 % Propositional preprocessing time : 0.000
% 3.09/1.16 % Propositional encoding time : 0.000
% 3.09/1.16 % Propositional solver time : 0.000
% 3.09/1.16 % Success case prop preproc time : 0.000
% 3.09/1.16 % Success case prop encoding time : 0.000
% 3.09/1.16 % Success case prop solver time : 0.000
% 3.09/1.16 % Current number of processed clauses : 865
% 3.09/1.16 % Positive orientable unit clauses : 147
% 3.09/1.16 % Positive unorientable unit clauses: 0
% 3.09/1.16 % Negative unit clauses : 428
% 3.09/1.16 % Non-unit-clauses : 290
% 3.09/1.16 % Current number of unprocessed clauses: 5619
% 3.09/1.16 % ...number of literals in the above : 9064
% 3.09/1.16 % Current number of archived formulas : 0
% 3.09/1.16 % Current number of archived clauses : 140
% 3.09/1.16 % Clause-clause subsumption calls (NU) : 16005
% 3.09/1.16 % Rec. Clause-clause subsumption calls : 9329
% 3.09/1.16 % Non-unit clause-clause subsumptions : 8
% 3.09/1.16 % Unit Clause-clause subsumption calls : 67415
% 3.09/1.16 % Rewrite failures with RHS unbound : 0
% 3.09/1.16 % BW rewrite match attempts : 1065
% 3.09/1.16 % BW rewrite match successes : 0
% 3.09/1.16 % Condensation attempts : 0
% 3.09/1.16 % Condensation successes : 0
% 3.09/1.16 % Termbank termtop insertions : 90510
% 3.09/1.16 % Search garbage collected termcells : 3102
% 3.09/1.16
% 3.09/1.16 % -------------------------------------------------
% 3.09/1.16 % User time : 0.272 s
% 3.09/1.16 % System time : 0.017 s
% 3.09/1.16 % Total time : 0.290 s
% 3.09/1.16 % Maximum resident set size: 3948 pages
% 3.09/1.16
% 3.09/1.16 % -------------------------------------------------
% 3.09/1.16 % User time : 2.085 s
% 3.09/1.16 % System time : 0.154 s
% 3.09/1.16 % Total time : 2.239 s
% 3.09/1.16 % Maximum resident set size: 4864 pages
% 3.09/1.16 % E exiting
%------------------------------------------------------------------------------