%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SYN577-1 : TPTP v9.3.1. Released v2.5.0.
% 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 03:35:17 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 : 33 ( 21 unt; 0 nHn; 31 RR)
% Number of literals : 60 ( 0 equ; 34 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 28 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p2_14,negated_conjecture,
( ~ p2(X3,X2)
| ~ p2(X3,X1)
| p2(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_14) ).
cnf(p2_1,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_1) ).
cnf(p2_9,negated_conjecture,
p2(f4(c15,c14),c17),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_9) ).
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/sandbox2/benchmark/theBenchmark.p',not_p7_20) ).
cnf(p2_11,negated_conjecture,
p2(f5(f6(c9),c19),c17),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_11) ).
cnf(p7_5,negated_conjecture,
p7(c9,c10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_5) ).
cnf(p2_8,negated_conjecture,
p2(f4(c16,c14),c18),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_8) ).
cnf(p2_12,negated_conjecture,
p2(f5(f6(c9),c20),c18),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_12) ).
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(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_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(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_13 ).
cnf(c_0_17,negated_conjecture,
p7(c9,c10),
p7_5 ).
cnf(c_0_18,negated_conjecture,
( ~ p2(c17,X1)
| p2(X1,f4(c15,c14)) ),
inference(spm,[status(thm)],[c_0_9,c_0_14]) ).
cnf(c_0_19,negated_conjecture,
p2(c17,f5(f6(c9),c19)),
inference(spm,[status(thm)],[c_0_11,c_0_15]) ).
cnf(c_0_20,negated_conjecture,
p2(f4(c16,c14),c18),
p2_8 ).
cnf(c_0_21,negated_conjecture,
( ~ p2(c16,X1)
| ~ p2(c15,X2)
| ~ p2(f4(X2,c14),f5(f6(c9),c19))
| ~ p2(f4(X1,c14),f5(f6(c9),c20)) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_22,negated_conjecture,
p2(f5(f6(c9),c19),f4(c15,c14)),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_23,negated_conjecture,
p2(c18,f4(c16,c14)),
inference(spm,[status(thm)],[c_0_11,c_0_20]) ).
cnf(c_0_24,negated_conjecture,
p2(f5(f6(c9),c20),c18),
p2_12 ).
cnf(c_0_25,negated_conjecture,
( ~ p2(c16,X1)
| ~ p2(f4(X1,c14),f5(f6(c9),c20))
| ~ p2(f4(c15,c14),f5(f6(c9),c19)) ),
inference(spm,[status(thm)],[c_0_21,c_0_10]) ).
cnf(c_0_26,negated_conjecture,
p2(f4(c15,c14),f5(f6(c9),c19)),
inference(spm,[status(thm)],[c_0_11,c_0_22]) ).
cnf(c_0_27,negated_conjecture,
( ~ p2(c18,X1)
| p2(X1,f4(c16,c14)) ),
inference(spm,[status(thm)],[c_0_9,c_0_23]) ).
cnf(c_0_28,negated_conjecture,
p2(c18,f5(f6(c9),c20)),
inference(spm,[status(thm)],[c_0_11,c_0_24]) ).
cnf(c_0_29,negated_conjecture,
( ~ p2(c16,X1)
| ~ p2(f4(X1,c14),f5(f6(c9),c20)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_26])]) ).
cnf(c_0_30,negated_conjecture,
p2(f5(f6(c9),c20),f4(c16,c14)),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_31,negated_conjecture,
~ p2(f4(c16,c14),f5(f6(c9),c20)),
inference(spm,[status(thm)],[c_0_29,c_0_10]) ).
cnf(c_0_32,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_30]),c_0_31]),
[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/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.35 % Computer : n013.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 11:08:35 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 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
% 0.13/0.42 % Version: 3.5.1
% 0.13/0.42 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.13/0.42 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.42 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI 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--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 624529 completed with status 0
% 0.13/0.42 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.13/0.42 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.13/0.42 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.42 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI 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: FHHNF-FFMM21-SFFFFFNN
% 0.13/0.42 % partial match(1): FGHNF-FFMM21-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--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.13/0.42 % Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S4S with 191s (1) cores
% 0.13/0.42 % Starting new_bool_3 with 191s (1) cores
% 0.13/0.42 % Starting new_bool_1 with 191s (1) cores
% 0.13/0.42 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 624535 completed with status 0
% 0.13/0.42 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.13/0.42 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.13/0.42 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.42 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI 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: FHHNF-FFMM21-SFFFFFNN
% 0.13/0.42 % partial match(1): FGHNF-FFMM21-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--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (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 : 22
% 0.13/0.42 % Removed by relevancy pruning/SinE : 0
% 0.13/0.42 % Initial clauses : 22
% 0.13/0.42 % Removed in clause preprocessing : 0
% 0.13/0.42 % Initial clauses in saturation : 22
% 0.13/0.42 % Processed clauses : 100
% 0.13/0.42 % ...of these trivial : 6
% 0.13/0.42 % ...subsumed : 0
% 0.13/0.42 % ...remaining for further processing : 94
% 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 : 2
% 0.13/0.42 % Backward-rewritten : 1
% 0.13/0.42 % Generated clauses : 331
% 0.13/0.42 % ...of the previous two non-redundant : 293
% 0.13/0.42 % ...aggressively subsumed : 0
% 0.13/0.42 % Contextual simplify-reflections : 0
% 0.13/0.42 % Paramodulations : 331
% 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 : 44
% 0.13/0.42 % ...of those cached : 10
% 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 : 69
% 0.13/0.42 % Positive orientable unit clauses : 35
% 0.13/0.42 % Positive unorientable unit clauses: 0
% 0.13/0.42 % Negative unit clauses : 2
% 0.13/0.42 % Non-unit-clauses : 32
% 0.13/0.42 % Current number of unprocessed clauses: 228
% 0.13/0.42 % ...number of literals in the above : 514
% 0.13/0.42 % Current number of archived formulas : 0
% 0.13/0.42 % Current number of archived clauses : 25
% 0.13/0.42 % Clause-clause subsumption calls (NU) : 250
% 0.13/0.42 % Rec. Clause-clause subsumption calls : 137
% 0.13/0.42 % Non-unit clause-clause subsumptions : 2
% 0.13/0.42 % Unit Clause-clause subsumption calls : 6
% 0.13/0.42 % Rewrite failures with RHS unbound : 0
% 0.13/0.42 % BW rewrite match attempts : 2
% 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 : 5621
% 0.13/0.42 % Search garbage collected termcells : 95
% 0.13/0.42
% 0.13/0.42 % -------------------------------------------------
% 0.13/0.42 % User time : 0.005 s
% 0.13/0.42 % System time : 0.005 s
% 0.13/0.42 % Total time : 0.009 s
% 0.13/0.42 % Maximum resident set size: 3660 pages
% 0.13/0.42
% 0.13/0.42 % -------------------------------------------------
% 0.13/0.42 % User time : 0.032 s
% 0.13/0.42 % System time : 0.010 s
% 0.13/0.42 % Total time : 0.042 s
% 0.13/0.42 % Maximum resident set size: 4864 pages
% 0.13/0.42 % E exiting
%------------------------------------------------------------------------------