%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN577-1 : 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 : 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 03:25:39 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.43s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 39 ( 23 unt; 0 def)
% Number of atoms : 71 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 70 ( 38 ~; 30 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 28 ( 0 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(p2_14,negated_conjecture,
( ~ p2(X3,X2)
| ~ p2(X3,X1)
| p2(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_14) ).
cnf(p2_1,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_1) ).
cnf(p2_9,negated_conjecture,
p2(f4(c15,c14),c17),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_9) ).
cnf(p2_8,negated_conjecture,
p2(f4(c16,c14),c18),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_8) ).
cnf(p2_11,negated_conjecture,
p2(f5(f6(c9),c19),c17),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_11) ).
cnf(p2_12,negated_conjecture,
p2(f5(f6(c9),c20),c18),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_12) ).
cnf(not_p7_20,negated_conjecture,
( ~ p2(f4(X3,c14),f5(f6(X1),c20))
| ~ p2(f4(X2,c14),f5(f6(X1),c19))
| ~ p2(c16,X3)
| ~ p2(c15,X2)
| ~ p7(X1,c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p7_20) ).
cnf(p7_5,negated_conjecture,
p7(c9,c10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_5) ).
cnf(c_0_8,negated_conjecture,
( ~ p2(X3,X2)
| ~ p2(X3,X1)
| p2(X1,X2) ),
inference(fof_simplification,[status(thm)],[p2_14]) ).
cnf(c_0_9,negated_conjecture,
( ~ p2(X3,X2)
| ~ p2(X3,X1)
| p2(X1,X2) ),
c_0_8 ).
cnf(c_0_10,negated_conjecture,
p2(X1,X1),
p2_1 ).
cnf(c_0_11,negated_conjecture,
( ~ p2(X2,X1)
| p2(X1,X2) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_12,negated_conjecture,
p2(f4(c15,c14),c17),
p2_9 ).
cnf(c_0_13,negated_conjecture,
p2(f4(c16,c14),c18),
p2_8 ).
cnf(c_0_14,negated_conjecture,
p2(c17,f4(c15,c14)),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,negated_conjecture,
p2(f5(f6(c9),c19),c17),
p2_11 ).
cnf(c_0_16,negated_conjecture,
p2(c18,f4(c16,c14)),
inference(spm,[status(thm)],[c_0_11,c_0_13]) ).
cnf(c_0_17,negated_conjecture,
p2(f5(f6(c9),c20),c18),
p2_12 ).
fof(c_0_18,plain,
( ~ epred2_0
<=> ! [X2] :
( ~ p2(f4(X2,c14),f5(f6(c9),c19))
| ~ p2(c15,X2) ) ),
introduced(definition) ).
cnf(c_0_19,negated_conjecture,
( ~ p2(c17,X1)
| p2(X1,f4(c15,c14)) ),
inference(spm,[status(thm)],[c_0_9,c_0_14]) ).
cnf(c_0_20,negated_conjecture,
p2(c17,f5(f6(c9),c19)),
inference(spm,[status(thm)],[c_0_11,c_0_15]) ).
fof(c_0_21,plain,
( ~ epred1_0
<=> ! [X1] :
( ~ p2(f4(X1,c14),f5(f6(c9),c20))
| ~ p2(c16,X1) ) ),
introduced(definition) ).
cnf(c_0_22,negated_conjecture,
( ~ p2(c18,X1)
| p2(X1,f4(c16,c14)) ),
inference(spm,[status(thm)],[c_0_9,c_0_16]) ).
cnf(c_0_23,negated_conjecture,
p2(c18,f5(f6(c9),c20)),
inference(spm,[status(thm)],[c_0_11,c_0_17]) ).
cnf(c_0_24,negated_conjecture,
( ~ p2(f4(X3,c14),f5(f6(X1),c20))
| ~ p2(f4(X2,c14),f5(f6(X1),c19))
| ~ p2(c16,X3)
| ~ p2(c15,X2)
| ~ p7(X1,c10) ),
inference(fof_simplification,[status(thm)],[not_p7_20]) ).
cnf(c_0_25,negated_conjecture,
( ~ p2(c15,X1)
| ~ p2(f4(X1,c14),f5(f6(c9),c19))
| epred2_0 ),
inference(split_equiv,[status(thm)],[c_0_18]) ).
cnf(c_0_26,negated_conjecture,
p2(f5(f6(c9),c19),f4(c15,c14)),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_27,negated_conjecture,
( ~ p2(c16,X1)
| ~ p2(f4(X1,c14),f5(f6(c9),c20))
| epred1_0 ),
inference(split_equiv,[status(thm)],[c_0_21]) ).
cnf(c_0_28,negated_conjecture,
p2(f5(f6(c9),c20),f4(c16,c14)),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_29,negated_conjecture,
( ~ p2(f4(X3,c14),f5(f6(X1),c20))
| ~ p2(f4(X2,c14),f5(f6(X1),c19))
| ~ p2(c16,X3)
| ~ p2(c15,X2)
| ~ p7(X1,c10) ),
c_0_24 ).
cnf(c_0_30,negated_conjecture,
p7(c9,c10),
p7_5 ).
cnf(c_0_31,negated_conjecture,
( ~ p2(f4(c15,c14),f5(f6(c9),c19))
| epred2_0 ),
inference(spm,[status(thm)],[c_0_25,c_0_10]) ).
cnf(c_0_32,negated_conjecture,
p2(f4(c15,c14),f5(f6(c9),c19)),
inference(spm,[status(thm)],[c_0_11,c_0_26]) ).
cnf(c_0_33,negated_conjecture,
( ~ p2(f4(c16,c14),f5(f6(c9),c20))
| epred1_0 ),
inference(spm,[status(thm)],[c_0_27,c_0_10]) ).
cnf(c_0_34,negated_conjecture,
p2(f4(c16,c14),f5(f6(c9),c20)),
inference(spm,[status(thm)],[c_0_11,c_0_28]) ).
cnf(c_0_35,negated_conjecture,
( ~ epred1_0
| ~ epred2_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_21]),c_0_18]) ).
cnf(c_0_36,negated_conjecture,
epred2_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_32])]) ).
cnf(c_0_37,negated_conjecture,
epred1_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_34])]) ).
cnf(c_0_38,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_36])]),c_0_37])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN577-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n013.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 11:08:35 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.40 Running first-order theorem proving
% 0.15/0.40 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
% 0.15/0.43 % Version: 3.5.1
% 0.15/0.43 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.15/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.43 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.15/0.43 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.43 % Starting new_bool_1 with 300s (1) cores
% 0.15/0.43 % Starting sh5l with 300s (1) cores
% 0.15/0.43 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 624552 completed with status 0
% 0.15/0.43 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.15/0.43 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.15/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.43 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.15/0.43 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/0.43 % No SInE strategy applied
% 0.15/0.43 % Search class: FHHNF-FFMM21-SFFFFFNN
% 0.15/0.43 % partial match(1): FGHNF-FFMM21-SFFFFFNN
% 0.15/0.43 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.43 % Starting SubtermCWHack with 136s (1) cores
% 0.15/0.43 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.15/0.43 % Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S4S with 191s (1) cores
% 0.15/0.43 % Starting new_bool_3 with 191s (1) cores
% 0.15/0.43 % Starting new_bool_1 with 191s (1) cores
% 0.15/0.43 % G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S4S with pid 624559 completed with status 0
% 0.15/0.43 % Result found by G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S4S
% 0.15/0.43 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.15/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.43 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.15/0.43 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/0.43 % No SInE strategy applied
% 0.15/0.43 % Search class: FHHNF-FFMM21-SFFFFFNN
% 0.15/0.43 % partial match(1): FGHNF-FFMM21-SFFFFFNN
% 0.15/0.43 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.43 % Starting SubtermCWHack with 136s (1) cores
% 0.15/0.43 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.15/0.43 % Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S4S with 191s (1) cores
% 0.15/0.43 % Preprocessing time : 0.001 s
% 0.15/0.43 % Presaturation interreduction done
% 0.15/0.43
% 0.15/0.43 % Proof found!
% 0.15/0.43 % SZS status Unsatisfiable
% 0.15/0.43 % SZS output start CNFRefutation
% See solution above
% 0.15/0.43 % Parsed axioms : 22
% 0.15/0.43 % Removed by relevancy pruning/SinE : 0
% 0.15/0.43 % Initial clauses : 22
% 0.15/0.43 % Removed in clause preprocessing : 0
% 0.15/0.43 % Initial clauses in saturation : 22
% 0.15/0.43 % Processed clauses : 98
% 0.15/0.43 % ...of these trivial : 7
% 0.15/0.43 % ...subsumed : 0
% 0.15/0.43 % ...remaining for further processing : 90
% 0.15/0.43 % Other redundant clauses eliminated : 0
% 0.15/0.43 % Clauses deleted for lack of memory : 0
% 0.15/0.43 % Backward-subsumed : 0
% 0.15/0.43 % Backward-rewritten : 7
% 0.15/0.43 % Generated clauses : 304
% 0.15/0.43 % ...of the previous two non-redundant : 263
% 0.15/0.43 % ...aggressively subsumed : 0
% 0.15/0.43 % Contextual simplify-reflections : 0
% 0.15/0.43 % Paramodulations : 301
% 0.15/0.43 % Factorizations : 0
% 0.15/0.43 % NegExts : 0
% 0.15/0.43 % Equation resolutions : 0
% 0.15/0.43 % Disequality decompositions : 0
% 0.15/0.43 % Total rewrite steps : 61
% 0.15/0.43 % ...of those cached : 17
% 0.15/0.43 % Propositional unsat checks : 0
% 0.15/0.43 % Propositional check models : 0
% 0.15/0.43 % Propositional check unsatisfiable : 0
% 0.15/0.43 % Propositional clauses : 0
% 0.15/0.43 % Propositional clauses after purity: 0
% 0.15/0.43 % Propositional unsat core size : 0
% 0.15/0.43 % Propositional preprocessing time : 0.000
% 0.15/0.43 % Propositional encoding time : 0.000
% 0.15/0.43 % Propositional solver time : 0.000
% 0.15/0.43 % Success case prop preproc time : 0.000
% 0.15/0.43 % Success case prop encoding time : 0.000
% 0.15/0.43 % Success case prop solver time : 0.000
% 0.15/0.43 % Current number of processed clauses : 60
% 0.15/0.43 % Positive orientable unit clauses : 36
% 0.15/0.43 % Positive unorientable unit clauses: 0
% 0.15/0.43 % Negative unit clauses : 0
% 0.15/0.43 % Non-unit-clauses : 24
% 0.15/0.43 % Current number of unprocessed clauses: 209
% 0.15/0.43 % ...number of literals in the above : 449
% 0.15/0.43 % Current number of archived formulas : 0
% 0.15/0.43 % Current number of archived clauses : 29
% 0.15/0.43 % Clause-clause subsumption calls (NU) : 218
% 0.15/0.43 % Rec. Clause-clause subsumption calls : 126
% 0.15/0.43 % Non-unit clause-clause subsumptions : 0
% 0.15/0.43 % Unit Clause-clause subsumption calls : 49
% 0.15/0.43 % Rewrite failures with RHS unbound : 0
% 0.15/0.43 % BW rewrite match attempts : 4
% 0.15/0.43 % BW rewrite match successes : 4
% 0.15/0.43 % Condensation attempts : 0
% 0.15/0.43 % Condensation successes : 0
% 0.15/0.43 % Termbank termtop insertions : 5250
% 0.15/0.43 % Search garbage collected termcells : 95
% 0.15/0.43
% 0.15/0.43 % -------------------------------------------------
% 0.15/0.43 % User time : 0.008 s
% 0.15/0.43 % System time : 0.001 s
% 0.15/0.43 % Total time : 0.009 s
% 0.15/0.43 % Maximum resident set size: 3660 pages
% 0.15/0.43
% 0.15/0.43 % -------------------------------------------------
% 0.15/0.43 % User time : 0.029 s
% 0.15/0.43 % System time : 0.009 s
% 0.15/0.43 % Total time : 0.038 s
% 0.15/0.43 % Maximum resident set size: 4608 pages
% 0.15/0.43 % E exiting
%------------------------------------------------------------------------------