%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SYN590-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 03:35:19 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.42s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of clauses : 30 ( 8 unt; 0 nHn; 30 RR)
% Number of literals : 63 ( 0 equ; 38 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-1 aty)
% Number of variables : 38 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p10_26,negated_conjecture,
( ~ p10(X3,X4)
| ~ p3(X4,X2)
| ~ p3(X3,X1)
| p10(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_26) ).
cnf(p10_19,negated_conjecture,
( ~ p11(X1)
| p10(f4(f9(X1)),f4(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_19) ).
cnf(p3_8,negated_conjecture,
p3(f4(c16),f6(c15)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_8) ).
cnf(c16_is_p11_3,negated_conjecture,
p11(c16),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c16_is_p11_3) ).
cnf(p3_18,negated_conjecture,
( ~ p11(X1)
| p3(f4(X1),f6(f8(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_18) ).
cnf(p11_9,negated_conjecture,
( ~ p11(X1)
| p11(f9(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_9) ).
cnf(p12_11,negated_conjecture,
( ~ p10(f6(X1),f6(X2))
| p12(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_11) ).
cnf(not_p11_25,negated_conjecture,
( ~ p3(f4(X1),f6(X2))
| ~ p12(X2,c15)
| ~ p11(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p11_25) ).
cnf(c_0_8,negated_conjecture,
( ~ p10(X3,X4)
| ~ p3(X4,X2)
| ~ p3(X3,X1)
| p10(X1,X2) ),
inference(fof_simplification,[status(thm)],[p10_26]) ).
cnf(c_0_9,negated_conjecture,
( ~ p11(X1)
| p10(f4(f9(X1)),f4(X1)) ),
inference(fof_simplification,[status(thm)],[p10_19]) ).
cnf(c_0_10,negated_conjecture,
( ~ p10(X3,X4)
| ~ p3(X4,X2)
| ~ p3(X3,X1)
| p10(X1,X2) ),
c_0_8 ).
cnf(c_0_11,negated_conjecture,
( ~ p11(X1)
| p10(f4(f9(X1)),f4(X1)) ),
c_0_9 ).
cnf(c_0_12,negated_conjecture,
( ~ p11(X3)
| ~ p3(f4(X3),X2)
| ~ p3(f4(f9(X3)),X1)
| p10(X1,X2) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_13,negated_conjecture,
p3(f4(c16),f6(c15)),
p3_8 ).
cnf(c_0_14,negated_conjecture,
p11(c16),
c16_is_p11_3 ).
cnf(c_0_15,negated_conjecture,
( ~ p11(X1)
| p3(f4(X1),f6(f8(X1))) ),
inference(fof_simplification,[status(thm)],[p3_18]) ).
cnf(c_0_16,negated_conjecture,
( ~ p3(f4(f9(c16)),X1)
| p10(X1,f6(c15)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]) ).
cnf(c_0_17,negated_conjecture,
( ~ p11(X1)
| p3(f4(X1),f6(f8(X1))) ),
c_0_15 ).
cnf(c_0_18,negated_conjecture,
( ~ p11(X1)
| p11(f9(X1)) ),
inference(fof_simplification,[status(thm)],[p11_9]) ).
cnf(c_0_19,negated_conjecture,
( ~ p10(f6(X1),f6(X2))
| p12(X1,X2) ),
inference(fof_simplification,[status(thm)],[p12_11]) ).
cnf(c_0_20,negated_conjecture,
( ~ p11(f9(c16))
| p10(f6(f8(f9(c16))),f6(c15)) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,negated_conjecture,
( ~ p11(X1)
| p11(f9(X1)) ),
c_0_18 ).
cnf(c_0_22,negated_conjecture,
( ~ p3(f4(X1),f6(X2))
| ~ p12(X2,c15)
| ~ p11(X1) ),
inference(fof_simplification,[status(thm)],[not_p11_25]) ).
cnf(c_0_23,negated_conjecture,
( ~ p10(f6(X1),f6(X2))
| p12(X1,X2) ),
c_0_19 ).
cnf(c_0_24,negated_conjecture,
p10(f6(f8(f9(c16))),f6(c15)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_14])]) ).
cnf(c_0_25,negated_conjecture,
( ~ p3(f4(X1),f6(X2))
| ~ p12(X2,c15)
| ~ p11(X1) ),
c_0_22 ).
cnf(c_0_26,negated_conjecture,
p12(f8(f9(c16)),c15),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_27,negated_conjecture,
( ~ p11(X1)
| ~ p3(f4(X1),f6(f8(f9(c16)))) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_28,negated_conjecture,
~ p11(f9(c16)),
inference(spm,[status(thm)],[c_0_27,c_0_17]) ).
cnf(c_0_29,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_21]),c_0_14])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN590-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n002.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 11:12:17 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 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
% 0.13/0.42 % Version: 3.5.1
% 0.13/0.42 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.13/0.42 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.42 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.13/0.42 % Starting new_bool_3 with 300s (1) cores
% 0.13/0.42 % Starting new_bool_1 with 300s (1) cores
% 0.13/0.42 % Starting sh5l with 300s (1) cores
% 0.13/0.42 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3147658 completed with status 0
% 0.13/0.42 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.13/0.42 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.13/0.42 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.42 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.13/0.42 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.13/0.42 % No SInE strategy applied
% 0.13/0.42 % Search class: FHHNS-FFSS11-SFFFFFNN
% 0.13/0.42 % partial match(1): FHHNF-FFSS11-SFFFFFNN
% 0.13/0.42 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.13/0.42 % Starting SubtermCWHack with 136s (1) cores
% 0.13/0.42 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.13/0.42 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 169s (1) cores
% 0.13/0.42 % Starting new_bool_3 with 169s (1) cores
% 0.13/0.42 % Starting new_bool_1 with 169s (1) cores
% 0.13/0.42 % new_bool_1 with pid 3147666 completed with status 0
% 0.13/0.42 % Result found by new_bool_1
% 0.13/0.42 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.13/0.42 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.42 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.13/0.42 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.13/0.42 % No SInE strategy applied
% 0.13/0.42 % Search class: FHHNS-FFSS11-SFFFFFNN
% 0.13/0.42 % partial match(1): FHHNF-FFSS11-SFFFFFNN
% 0.13/0.42 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.13/0.42 % Starting SubtermCWHack with 136s (1) cores
% 0.13/0.42 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.13/0.42 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 169s (1) cores
% 0.13/0.42 % Starting new_bool_3 with 169s (1) cores
% 0.13/0.42 % Starting new_bool_1 with 169s (1) cores
% 0.13/0.42 % Preprocessing time : 0.001 s
% 0.13/0.42 % Presaturation interreduction done
% 0.13/0.42
% 0.13/0.42 % Proof found!
% 0.13/0.42 % SZS status Unsatisfiable
% 0.13/0.42 % SZS output start CNFRefutation
% See solution above
% 0.13/0.42 % Parsed axioms : 27
% 0.13/0.42 % Removed by relevancy pruning/SinE : 0
% 0.13/0.42 % Initial clauses : 27
% 0.13/0.42 % Removed in clause preprocessing : 0
% 0.13/0.42 % Initial clauses in saturation : 27
% 0.13/0.42 % Processed clauses : 108
% 0.13/0.42 % ...of these trivial : 0
% 0.13/0.42 % ...subsumed : 3
% 0.13/0.42 % ...remaining for further processing : 105
% 0.13/0.42 % Other redundant clauses eliminated : 0
% 0.13/0.42 % Clauses deleted for lack of memory : 0
% 0.13/0.42 % Backward-subsumed : 0
% 0.13/0.42 % Backward-rewritten : 1
% 0.13/0.42 % Generated clauses : 143
% 0.13/0.42 % ...of the previous two non-redundant : 71
% 0.13/0.42 % ...aggressively subsumed : 0
% 0.13/0.42 % Contextual simplify-reflections : 0
% 0.13/0.42 % Paramodulations : 143
% 0.13/0.42 % Factorizations : 0
% 0.13/0.42 % NegExts : 0
% 0.13/0.42 % Equation resolutions : 0
% 0.13/0.42 % Disequality decompositions : 0
% 0.13/0.42 % Total rewrite steps : 97
% 0.13/0.42 % ...of those cached : 62
% 0.13/0.42 % Propositional unsat checks : 0
% 0.13/0.42 % Propositional check models : 0
% 0.13/0.42 % Propositional check unsatisfiable : 0
% 0.13/0.42 % Propositional clauses : 0
% 0.13/0.42 % Propositional clauses after purity: 0
% 0.13/0.42 % Propositional unsat core size : 0
% 0.13/0.42 % Propositional preprocessing time : 0.000
% 0.13/0.42 % Propositional encoding time : 0.000
% 0.13/0.42 % Propositional solver time : 0.000
% 0.13/0.42 % Success case prop preproc time : 0.000
% 0.13/0.42 % Success case prop encoding time : 0.000
% 0.13/0.42 % Success case prop solver time : 0.000
% 0.13/0.42 % Current number of processed clauses : 78
% 0.13/0.42 % Positive orientable unit clauses : 27
% 0.13/0.42 % Positive unorientable unit clauses: 0
% 0.13/0.42 % Negative unit clauses : 1
% 0.13/0.42 % Non-unit-clauses : 50
% 0.13/0.42 % Current number of unprocessed clauses: 16
% 0.13/0.42 % ...number of literals in the above : 41
% 0.13/0.42 % Current number of archived formulas : 0
% 0.13/0.42 % Current number of archived clauses : 27
% 0.13/0.42 % Clause-clause subsumption calls (NU) : 162
% 0.13/0.42 % Rec. Clause-clause subsumption calls : 142
% 0.13/0.42 % Non-unit clause-clause subsumptions : 3
% 0.13/0.42 % Unit Clause-clause subsumption calls : 20
% 0.13/0.42 % Rewrite failures with RHS unbound : 0
% 0.13/0.42 % BW rewrite match attempts : 3
% 0.13/0.42 % BW rewrite match successes : 1
% 0.13/0.42 % Condensation attempts : 0
% 0.13/0.42 % Condensation successes : 0
% 0.13/0.42 % Termbank termtop insertions : 2711
% 0.13/0.42 % Search garbage collected termcells : 60
% 0.13/0.42
% 0.13/0.42 % -------------------------------------------------
% 0.13/0.42 % User time : 0.004 s
% 0.13/0.42 % System time : 0.003 s
% 0.13/0.42 % Total time : 0.006 s
% 0.13/0.42 % Maximum resident set size: 3652 pages
% 0.13/0.42
% 0.13/0.42 % -------------------------------------------------
% 0.13/0.42 % User time : 0.019 s
% 0.13/0.42 % System time : 0.015 s
% 0.13/0.42 % Total time : 0.035 s
% 0.13/0.42 % Maximum resident set size: 4864 pages
% 0.13/0.42 % E exiting
%------------------------------------------------------------------------------