%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN566-1 : 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 : n001.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 03:25:37 PM UTC 2026
% Result : Unsatisfiable 0.03s 0.42s
% Output : CNFRefutation 0.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of clauses : 42 ( 21 unt; 0 nHn; 36 RR)
% Number of literals : 80 ( 0 equ; 43 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-1 aty)
% Number of variables : 58 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p3_14,negated_conjecture,
( ~ p3(X3,X2)
| ~ p3(X3,X1)
| p3(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_14) ).
cnf(p3_3,negated_conjecture,
p3(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_3) ).
cnf(p3_8,negated_conjecture,
p3(c13,f4(c14)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_8) ).
cnf(p3_9,negated_conjecture,
( ~ p2(X1,X2)
| p3(f4(X1),f4(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_9) ).
cnf(p8_18,negated_conjecture,
( ~ p3(X4,X2)
| ~ p8(X3,X4)
| ~ p7(X3,X1)
| p8(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_18) ).
cnf(p2_7,negated_conjecture,
p2(c14,f6(c15)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_7) ).
cnf(p7_4,negated_conjecture,
p7(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_4) ).
cnf(p8_6,negated_conjecture,
p8(c12,c13),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_6) ).
cnf(not_p10_19,negated_conjecture,
( ~ p2(X3,f5(X1))
| ~ p3(X2,f4(X3))
| ~ p8(c12,X2)
| ~ p10(X1,c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p10_19) ).
cnf(p8_16,negated_conjecture,
( ~ p8(X1,f4(f6(X2)))
| p8(X1,f4(f5(X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_16) ).
cnf(p10_5,negated_conjecture,
p10(c15,c11),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_5) ).
cnf(p2_2,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_2) ).
cnf(c_0_12,negated_conjecture,
( ~ p3(X3,X2)
| ~ p3(X3,X1)
| p3(X1,X2) ),
inference(fof_simplification,[status(thm)],[p3_14]) ).
cnf(c_0_13,negated_conjecture,
( ~ p3(X3,X2)
| ~ p3(X3,X1)
| p3(X1,X2) ),
c_0_12 ).
cnf(c_0_14,negated_conjecture,
p3(X1,X1),
p3_3 ).
cnf(c_0_15,negated_conjecture,
( ~ p3(X2,X1)
| p3(X1,X2) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_16,negated_conjecture,
p3(c13,f4(c14)),
p3_8 ).
cnf(c_0_17,negated_conjecture,
( ~ p2(X1,X2)
| p3(f4(X1),f4(X2)) ),
inference(fof_simplification,[status(thm)],[p3_9]) ).
cnf(c_0_18,negated_conjecture,
( ~ p3(X4,X2)
| ~ p8(X3,X4)
| ~ p7(X3,X1)
| p8(X1,X2) ),
inference(fof_simplification,[status(thm)],[p8_18]) ).
cnf(c_0_19,negated_conjecture,
p3(f4(c14),c13),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,negated_conjecture,
( ~ p2(X1,X2)
| p3(f4(X1),f4(X2)) ),
c_0_17 ).
cnf(c_0_21,negated_conjecture,
p2(c14,f6(c15)),
p2_7 ).
cnf(c_0_22,negated_conjecture,
( ~ p3(X4,X2)
| ~ p8(X3,X4)
| ~ p7(X3,X1)
| p8(X1,X2) ),
c_0_18 ).
cnf(c_0_23,negated_conjecture,
p7(X1,X1),
p7_4 ).
cnf(c_0_24,negated_conjecture,
( ~ p3(f4(c14),X1)
| p3(X1,c13) ),
inference(spm,[status(thm)],[c_0_13,c_0_19]) ).
cnf(c_0_25,negated_conjecture,
p3(f4(c14),f4(f6(c15))),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_26,negated_conjecture,
( ~ p3(X3,X2)
| ~ p8(X1,X3)
| p8(X1,X2) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_27,negated_conjecture,
p8(c12,c13),
p8_6 ).
cnf(c_0_28,negated_conjecture,
p3(f4(f6(c15)),c13),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_29,negated_conjecture,
( ~ p2(X3,f5(X1))
| ~ p3(X2,f4(X3))
| ~ p8(c12,X2)
| ~ p10(X1,c11) ),
inference(fof_simplification,[status(thm)],[not_p10_19]) ).
cnf(c_0_30,negated_conjecture,
( ~ p8(X1,f4(f6(X2)))
| p8(X1,f4(f5(X2))) ),
inference(fof_simplification,[status(thm)],[p8_16]) ).
cnf(c_0_31,negated_conjecture,
( ~ p3(c13,X1)
| p8(c12,X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_32,negated_conjecture,
p3(c13,f4(f6(c15))),
inference(spm,[status(thm)],[c_0_15,c_0_28]) ).
cnf(c_0_33,negated_conjecture,
( ~ p2(X3,f5(X1))
| ~ p3(X2,f4(X3))
| ~ p8(c12,X2)
| ~ p10(X1,c11) ),
c_0_29 ).
cnf(c_0_34,negated_conjecture,
p10(c15,c11),
p10_5 ).
cnf(c_0_35,negated_conjecture,
( ~ p8(X1,f4(f6(X2)))
| p8(X1,f4(f5(X2))) ),
c_0_30 ).
cnf(c_0_36,negated_conjecture,
p8(c12,f4(f6(c15))),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_37,negated_conjecture,
( ~ p2(X2,f5(c15))
| ~ p3(X1,f4(X2))
| ~ p8(c12,X1) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_38,negated_conjecture,
p8(c12,f4(f5(c15))),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_39,negated_conjecture,
( ~ p2(X1,f5(c15))
| ~ p3(f4(f5(c15)),f4(X1)) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_40,negated_conjecture,
p2(X1,X1),
p2_2 ).
cnf(c_0_41,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_14]),c_0_40])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN566-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n001.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.03/0.36 % WCLimit : 300
% 0.03/0.36 % DateTime : Mon Sep 21 11:14:14 UTC 2026
% 0.03/0.36 % CPUTime :
% 0.03/0.36 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.03/0.40 Running first-order theorem proving
% 0.03/0.40 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
% 0.03/0.42 % Version: 3.5.1
% 0.03/0.42 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.03/0.42 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.03/0.42 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.03/0.42 % Starting new_bool_3 with 300s (1) cores
% 0.03/0.42 % Starting new_bool_1 with 300s (1) cores
% 0.03/0.42 % Starting sh5l with 300s (1) cores
% 0.03/0.42 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2978659 completed with status 0
% 0.03/0.42 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.03/0.42 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.03/0.42 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.03/0.42 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.03/0.42 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.03/0.42 % No SInE strategy applied
% 0.03/0.42 % Search class: FHHNM-FFSS11-SFFFFFNN
% 0.03/0.42 % partial match(1): FHHNF-FFSS11-SFFFFFNN
% 0.03/0.42 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.03/0.42 % Starting SubtermCWHack with 136s (1) cores
% 0.03/0.42 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.03/0.42 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 169s (1) cores
% 0.03/0.42 % Starting new_bool_3 with 169s (1) cores
% 0.03/0.42 % Starting new_bool_1 with 169s (1) cores
% 0.03/0.42 % new_bool_1 with pid 2978667 completed with status 0
% 0.03/0.42 % Result found by new_bool_1
% 0.03/0.42 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.03/0.42 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.03/0.42 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.03/0.42 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.03/0.42 % No SInE strategy applied
% 0.03/0.42 % Search class: FHHNM-FFSS11-SFFFFFNN
% 0.03/0.42 % partial match(1): FHHNF-FFSS11-SFFFFFNN
% 0.03/0.42 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.03/0.42 % Starting SubtermCWHack with 136s (1) cores
% 0.03/0.42 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.03/0.42 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 169s (1) cores
% 0.03/0.42 % Starting new_bool_3 with 169s (1) cores
% 0.03/0.42 % Starting new_bool_1 with 169s (1) cores
% 0.03/0.42 % Preprocessing time : 0.001 s
% 0.03/0.42 % Presaturation interreduction done
% 0.03/0.42
% 0.03/0.42 % Proof found!
% 0.03/0.42 % SZS status Unsatisfiable
% 0.03/0.42 % SZS output start CNFRefutation
% See solution above
% 0.03/0.42 % Parsed axioms : 19
% 0.03/0.42 % Removed by relevancy pruning/SinE : 0
% 0.03/0.42 % Initial clauses : 19
% 0.03/0.42 % Removed in clause preprocessing : 0
% 0.03/0.42 % Initial clauses in saturation : 19
% 0.03/0.42 % Processed clauses : 85
% 0.03/0.42 % ...of these trivial : 3
% 0.03/0.42 % ...subsumed : 4
% 0.03/0.42 % ...remaining for further processing : 78
% 0.03/0.42 % Other redundant clauses eliminated : 0
% 0.03/0.42 % Clauses deleted for lack of memory : 0
% 0.03/0.42 % Backward-subsumed : 0
% 0.03/0.42 % Backward-rewritten : 0
% 0.03/0.42 % Generated clauses : 123
% 0.03/0.42 % ...of the previous two non-redundant : 93
% 0.03/0.42 % ...aggressively subsumed : 0
% 0.03/0.42 % Contextual simplify-reflections : 0
% 0.03/0.42 % Paramodulations : 123
% 0.03/0.42 % Factorizations : 0
% 0.03/0.42 % NegExts : 0
% 0.03/0.42 % Equation resolutions : 0
% 0.03/0.42 % Disequality decompositions : 0
% 0.03/0.42 % Total rewrite steps : 33
% 0.03/0.42 % ...of those cached : 5
% 0.03/0.42 % Propositional unsat checks : 0
% 0.03/0.42 % Propositional check models : 0
% 0.03/0.42 % Propositional check unsatisfiable : 0
% 0.03/0.42 % Propositional clauses : 0
% 0.03/0.42 % Propositional clauses after purity: 0
% 0.03/0.42 % Propositional unsat core size : 0
% 0.03/0.42 % Propositional preprocessing time : 0.000
% 0.03/0.42 % Propositional encoding time : 0.000
% 0.03/0.42 % Propositional solver time : 0.000
% 0.03/0.42 % Success case prop preproc time : 0.000
% 0.03/0.42 % Success case prop encoding time : 0.000
% 0.03/0.42 % Success case prop solver time : 0.000
% 0.03/0.42 % Current number of processed clauses : 59
% 0.03/0.42 % Positive orientable unit clauses : 29
% 0.03/0.42 % Positive unorientable unit clauses: 0
% 0.03/0.42 % Negative unit clauses : 2
% 0.03/0.42 % Non-unit-clauses : 28
% 0.03/0.42 % Current number of unprocessed clauses: 46
% 0.03/0.42 % ...number of literals in the above : 65
% 0.03/0.42 % Current number of archived formulas : 0
% 0.03/0.42 % Current number of archived clauses : 19
% 0.03/0.42 % Clause-clause subsumption calls (NU) : 47
% 0.03/0.42 % Rec. Clause-clause subsumption calls : 34
% 0.03/0.42 % Non-unit clause-clause subsumptions : 0
% 0.03/0.42 % Unit Clause-clause subsumption calls : 22
% 0.03/0.42 % Rewrite failures with RHS unbound : 0
% 0.03/0.42 % BW rewrite match attempts : 4
% 0.03/0.42 % BW rewrite match successes : 0
% 0.03/0.42 % Condensation attempts : 0
% 0.03/0.42 % Condensation successes : 0
% 0.03/0.42 % Termbank termtop insertions : 2046
% 0.03/0.42 % Search garbage collected termcells : 56
% 0.03/0.42
% 0.03/0.42 % -------------------------------------------------
% 0.03/0.42 % User time : 0.005 s
% 0.03/0.42 % System time : 0.001 s
% 0.03/0.42 % Total time : 0.006 s
% 0.03/0.42 % Maximum resident set size: 3644 pages
% 0.03/0.42
% 0.03/0.42 % -------------------------------------------------
% 0.03/0.42 % User time : 0.021 s
% 0.03/0.42 % System time : 0.012 s
% 0.03/0.42 % Total time : 0.034 s
% 0.03/0.42 % Maximum resident set size: 4864 pages
% 0.03/0.42 % E exiting
%------------------------------------------------------------------------------