%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN564-1 : 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 : n016.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 0.19s 0.53s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of clauses : 38 ( 19 unt; 0 nHn; 22 RR)
% Number of literals : 70 ( 0 equ; 35 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 84 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p4_9,negated_conjecture,
( ~ p4(X3,X2)
| ~ p4(X3,X1)
| p4(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_9) ).
cnf(p10_13,negated_conjecture,
( ~ p10(X1,f3(X3,X2))
| p10(f9(X1,X2),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_13) ).
cnf(p4_2,negated_conjecture,
p4(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_2) ).
cnf(p10_14,negated_conjecture,
( ~ p10(X3,X4)
| ~ p2(X4,X2)
| ~ p2(X3,X1)
| p10(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_14) ).
cnf(p10_10,negated_conjecture,
p10(f5(X1),f3(f5(f6(X1,X2)),f5(X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_10) ).
cnf(p2_6,negated_conjecture,
( ~ p4(X1,X2)
| p2(f5(X1),f5(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_6) ).
cnf(p4_4,negated_conjecture,
p4(f8(X1,X2),f6(X1,f7(X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_4) ).
cnf(p2_17,negated_conjecture,
( ~ p2(X2,X4)
| ~ p2(X1,X3)
| p2(f9(X1,X2),f9(X3,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_17) ).
cnf(p2_3,negated_conjecture,
p2(f5(f7(X1)),f5(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_3) ).
cnf(p2_1,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_1) ).
cnf(not_p10_11,negated_conjecture,
~ p10(f9(f5(c11),f5(c12)),f5(f8(c11,c12))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p10_11) ).
cnf(c_0_11,negated_conjecture,
( ~ p4(X3,X2)
| ~ p4(X3,X1)
| p4(X1,X2) ),
inference(fof_simplification,[status(thm)],[p4_9]) ).
cnf(c_0_12,negated_conjecture,
( ~ p10(X1,f3(X3,X2))
| p10(f9(X1,X2),X3) ),
inference(fof_simplification,[status(thm)],[p10_13]) ).
cnf(c_0_13,negated_conjecture,
( ~ p4(X3,X2)
| ~ p4(X3,X1)
| p4(X1,X2) ),
c_0_11 ).
cnf(c_0_14,negated_conjecture,
p4(X1,X1),
p4_2 ).
cnf(c_0_15,negated_conjecture,
( ~ p10(X3,X4)
| ~ p2(X4,X2)
| ~ p2(X3,X1)
| p10(X1,X2) ),
inference(fof_simplification,[status(thm)],[p10_14]) ).
cnf(c_0_16,negated_conjecture,
( ~ p10(X1,f3(X3,X2))
| p10(f9(X1,X2),X3) ),
c_0_12 ).
cnf(c_0_17,negated_conjecture,
p10(f5(X1),f3(f5(f6(X1,X2)),f5(X2))),
p10_10 ).
cnf(c_0_18,negated_conjecture,
( ~ p4(X1,X2)
| p2(f5(X1),f5(X2)) ),
inference(fof_simplification,[status(thm)],[p2_6]) ).
cnf(c_0_19,negated_conjecture,
( ~ p4(X2,X1)
| p4(X1,X2) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_20,negated_conjecture,
p4(f8(X1,X2),f6(X1,f7(X2))),
p4_4 ).
cnf(c_0_21,negated_conjecture,
( ~ p2(X2,X4)
| ~ p2(X1,X3)
| p2(f9(X1,X2),f9(X3,X4)) ),
inference(fof_simplification,[status(thm)],[p2_17]) ).
cnf(c_0_22,negated_conjecture,
( ~ p10(X3,X4)
| ~ p2(X4,X2)
| ~ p2(X3,X1)
| p10(X1,X2) ),
c_0_15 ).
cnf(c_0_23,negated_conjecture,
p10(f9(f5(X1),f5(X2)),f5(f6(X1,X2))),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_24,negated_conjecture,
( ~ p4(X1,X2)
| p2(f5(X1),f5(X2)) ),
c_0_18 ).
cnf(c_0_25,negated_conjecture,
p4(f6(X1,f7(X2)),f8(X1,X2)),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_26,negated_conjecture,
( ~ p2(X2,X4)
| ~ p2(X1,X3)
| p2(f9(X1,X2),f9(X3,X4)) ),
c_0_21 ).
cnf(c_0_27,negated_conjecture,
p2(f5(f7(X1)),f5(X1)),
p2_3 ).
cnf(c_0_28,negated_conjecture,
( ~ p2(f5(f6(X3,X4)),X2)
| ~ p2(f9(f5(X3),f5(X4)),X1)
| p10(X1,X2) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_29,negated_conjecture,
p2(f5(f6(X1,f7(X2))),f5(f8(X1,X2))),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_30,negated_conjecture,
( ~ p2(X1,X3)
| p2(f9(X1,f5(f7(X2))),f9(X3,f5(X2))) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_31,negated_conjecture,
p2(X1,X1),
p2_1 ).
cnf(c_0_32,negated_conjecture,
~ p10(f9(f5(c11),f5(c12)),f5(f8(c11,c12))),
inference(fof_simplification,[status(thm)],[not_p10_11]) ).
cnf(c_0_33,negated_conjecture,
( ~ p2(f9(f5(X2),f5(f7(X3))),X1)
| p10(X1,f5(f8(X2,X3))) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_34,negated_conjecture,
p2(f9(X1,f5(f7(X2))),f9(X1,f5(X2))),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_35,negated_conjecture,
~ p10(f9(f5(c11),f5(c12)),f5(f8(c11,c12))),
c_0_32 ).
cnf(c_0_36,negated_conjecture,
p10(f9(f5(X1),f5(X2)),f5(f8(X1,X2))),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_37,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_36])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN564-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n016.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 21 11:13:22 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 0.19/0.53 % Version: 3.5.1
% 0.19/0.53 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.53 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.53 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.53 % Starting new_bool_3 with 300s (1) cores
% 0.19/0.53 % Starting new_bool_1 with 300s (1) cores
% 0.19/0.53 % Starting sh5l with 300s (1) cores
% 0.19/0.53 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2286964 completed with status 0
% 0.19/0.53 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.19/0.53 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.53 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.53 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.53 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.19/0.53 % No SInE strategy applied
% 0.19/0.53 % Search class: FHUNM-FFSF21-MFFFFFNN
% 0.19/0.53 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.53 % Starting SubtermCWHack with 136s (1) cores
% 0.19/0.53 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.19/0.53 % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 0.19/0.53 % Starting new_bool_3 with 136s (1) cores
% 0.19/0.53 % Starting new_bool_1 with 136s (1) cores
% 0.19/0.53 % new_bool_3 with pid 2286973 completed with status 0
% 0.19/0.53 % Result found by new_bool_3
% 0.19/0.53 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.53 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.53 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.53 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.19/0.53 % No SInE strategy applied
% 0.19/0.53 % Search class: FHUNM-FFSF21-MFFFFFNN
% 0.19/0.53 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.53 % Starting SubtermCWHack with 136s (1) cores
% 0.19/0.53 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.19/0.53 % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 0.19/0.53 % Starting new_bool_3 with 136s (1) cores
% 0.19/0.53 % Preprocessing time : 0.001 s
% 0.19/0.53 % Presaturation interreduction done
% 0.19/0.53
% 0.19/0.53 % Proof found!
% 0.19/0.53 % SZS status Unsatisfiable
% 0.19/0.53 % SZS output start CNFRefutation
% See solution above
% 0.19/0.53 % Parsed axioms : 18
% 0.19/0.53 % Removed by relevancy pruning/SinE : 0
% 0.19/0.53 % Initial clauses : 18
% 0.19/0.53 % Removed in clause preprocessing : 0
% 0.19/0.53 % Initial clauses in saturation : 18
% 0.19/0.53 % Processed clauses : 320
% 0.19/0.53 % ...of these trivial : 89
% 0.19/0.53 % ...subsumed : 0
% 0.19/0.53 % ...remaining for further processing : 231
% 0.19/0.53 % Other redundant clauses eliminated : 0
% 0.19/0.53 % Clauses deleted for lack of memory : 0
% 0.19/0.53 % Backward-subsumed : 0
% 0.19/0.53 % Backward-rewritten : 1
% 0.19/0.53 % Generated clauses : 3043
% 0.19/0.53 % ...of the previous two non-redundant : 2489
% 0.19/0.53 % ...aggressively subsumed : 0
% 0.19/0.53 % Contextual simplify-reflections : 0
% 0.19/0.53 % Paramodulations : 3043
% 0.19/0.53 % Factorizations : 0
% 0.19/0.53 % NegExts : 0
% 0.19/0.53 % Equation resolutions : 0
% 0.19/0.53 % Disequality decompositions : 0
% 0.19/0.53 % Total rewrite steps : 642
% 0.19/0.53 % ...of those cached : 396
% 0.19/0.53 % Propositional unsat checks : 0
% 0.19/0.53 % Propositional check models : 0
% 0.19/0.53 % Propositional check unsatisfiable : 0
% 0.19/0.53 % Propositional clauses : 0
% 0.19/0.53 % Propositional clauses after purity: 0
% 0.19/0.53 % Propositional unsat core size : 0
% 0.19/0.53 % Propositional preprocessing time : 0.000
% 0.19/0.53 % Propositional encoding time : 0.000
% 0.19/0.53 % Propositional solver time : 0.000
% 0.19/0.53 % Success case prop preproc time : 0.000
% 0.19/0.53 % Success case prop encoding time : 0.000
% 0.19/0.53 % Success case prop solver time : 0.000
% 0.19/0.53 % Current number of processed clauses : 212
% 0.19/0.53 % Positive orientable unit clauses : 68
% 0.19/0.53 % Positive unorientable unit clauses: 0
% 0.19/0.53 % Negative unit clauses : 0
% 0.19/0.53 % Non-unit-clauses : 144
% 0.19/0.53 % Current number of unprocessed clauses: 2205
% 0.19/0.53 % ...number of literals in the above : 2339
% 0.19/0.53 % Current number of archived formulas : 0
% 0.19/0.53 % Current number of archived clauses : 19
% 0.19/0.53 % Clause-clause subsumption calls (NU) : 1638
% 0.19/0.53 % Rec. Clause-clause subsumption calls : 1275
% 0.19/0.53 % Non-unit clause-clause subsumptions : 0
% 0.19/0.53 % Unit Clause-clause subsumption calls : 45
% 0.19/0.53 % Rewrite failures with RHS unbound : 0
% 0.19/0.53 % BW rewrite match attempts : 239
% 0.19/0.53 % BW rewrite match successes : 1
% 0.19/0.53 % Condensation attempts : 0
% 0.19/0.53 % Condensation successes : 0
% 0.19/0.53 % Termbank termtop insertions : 52745
% 0.19/0.53 % Search garbage collected termcells : 46
% 0.19/0.53
% 0.19/0.53 % -------------------------------------------------
% 0.19/0.53 % User time : 0.041 s
% 0.19/0.53 % System time : 0.006 s
% 0.19/0.53 % Total time : 0.047 s
% 0.19/0.53 % Maximum resident set size: 3644 pages
% 0.19/0.53
% 0.19/0.53 % -------------------------------------------------
% 0.19/0.53 % User time : 0.310 s
% 0.19/0.53 % System time : 0.028 s
% 0.19/0.53 % Total time : 0.339 s
% 0.19/0.53 % Maximum resident set size: 4608 pages
% 0.19/0.53 % E exiting
%------------------------------------------------------------------------------