%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN578-1 : 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 : n017.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 0.14s 5.45s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of clauses : 43 ( 19 unt; 4 nHn; 37 RR)
% Number of literals : 91 ( 0 equ; 49 neg)
% Maximal clause size : 4 ( 2 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; 0-2 aty)
% Number of variables : 58 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p3_17,negated_conjecture,
( ~ p3(X3,X2)
| ~ p3(X3,X1)
| p3(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_17) ).
cnf(p3_14,negated_conjecture,
( ~ p2(X1,X2)
| p3(f4(X1),f4(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(p2_7,negated_conjecture,
p2(c16,f5(c14)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_7) ).
cnf(p9_20,negated_conjecture,
( ~ p3(X4,X2)
| ~ p9(X3,X4)
| ~ p7(X3,X1)
| p9(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_20) ).
cnf(p3_8,negated_conjecture,
p3(f4(f5(X1)),f4(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_8) ).
cnf(p7_2,negated_conjecture,
p7(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_2) ).
cnf(p9_11,negated_conjecture,
( ~ p9(X1,c13)
| p9(X1,f4(c16)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_11) ).
cnf(not_p11_23,negated_conjecture,
( ~ p9(f8(X2,X1),f4(X1))
| ~ p9(f8(X2,X1),X2)
| ~ p9(c12,X2)
| ~ p11(X1,c15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p11_23) ).
cnf(p9_5,negated_conjecture,
p9(c12,c13),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_5) ).
cnf(p9_22,negated_conjecture,
( ~ p9(c12,X1)
| ~ p11(X2,c15)
| p9(f8(X1,X2),f4(X2))
| p9(f8(X1,X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_22) ).
cnf(p11_6,negated_conjecture,
p11(c14,c15),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_6) ).
cnf(c_0_12,negated_conjecture,
( ~ p3(X3,X2)
| ~ p3(X3,X1)
| p3(X1,X2) ),
inference(fof_simplification,[status(thm)],[p3_17]) ).
cnf(c_0_13,negated_conjecture,
( ~ p2(X1,X2)
| p3(f4(X1),f4(X2)) ),
inference(fof_simplification,[status(thm)],[p3_14]) ).
cnf(c_0_14,negated_conjecture,
( ~ p3(X3,X2)
| ~ p3(X3,X1)
| p3(X1,X2) ),
c_0_12 ).
cnf(c_0_15,negated_conjecture,
p3(X1,X1),
p3_3 ).
cnf(c_0_16,negated_conjecture,
( ~ p2(X1,X2)
| p3(f4(X1),f4(X2)) ),
c_0_13 ).
cnf(c_0_17,negated_conjecture,
p2(c16,f5(c14)),
p2_7 ).
cnf(c_0_18,negated_conjecture,
( ~ p3(X4,X2)
| ~ p9(X3,X4)
| ~ p7(X3,X1)
| p9(X1,X2) ),
inference(fof_simplification,[status(thm)],[p9_20]) ).
cnf(c_0_19,negated_conjecture,
p3(f4(f5(X1)),f4(X1)),
p3_8 ).
cnf(c_0_20,negated_conjecture,
( ~ p3(X2,X1)
| p3(X1,X2) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_21,negated_conjecture,
p3(f4(c16),f4(f5(c14))),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_22,negated_conjecture,
( ~ p3(X4,X2)
| ~ p9(X3,X4)
| ~ p7(X3,X1)
| p9(X1,X2) ),
c_0_18 ).
cnf(c_0_23,negated_conjecture,
p7(X1,X1),
p7_2 ).
cnf(c_0_24,negated_conjecture,
( ~ p3(f4(f5(X2)),X1)
| p3(X1,f4(X2)) ),
inference(spm,[status(thm)],[c_0_14,c_0_19]) ).
cnf(c_0_25,negated_conjecture,
p3(f4(f5(c14)),f4(c16)),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_26,negated_conjecture,
( ~ p9(X1,c13)
| p9(X1,f4(c16)) ),
inference(fof_simplification,[status(thm)],[p9_11]) ).
cnf(c_0_27,negated_conjecture,
( ~ p9(f8(X2,X1),f4(X1))
| ~ p9(f8(X2,X1),X2)
| ~ p9(c12,X2)
| ~ p11(X1,c15) ),
inference(fof_simplification,[status(thm)],[not_p11_23]) ).
cnf(c_0_28,negated_conjecture,
( ~ p3(X3,X2)
| ~ p9(X1,X3)
| p9(X1,X2) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_29,negated_conjecture,
p3(f4(c16),f4(c14)),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_30,negated_conjecture,
( ~ p9(X1,c13)
| p9(X1,f4(c16)) ),
c_0_26 ).
cnf(c_0_31,negated_conjecture,
p9(c12,c13),
p9_5 ).
cnf(c_0_32,negated_conjecture,
( ~ p9(c12,X1)
| ~ p11(X2,c15)
| p9(f8(X1,X2),f4(X2))
| p9(f8(X1,X2),X1) ),
inference(fof_simplification,[status(thm)],[p9_22]) ).
cnf(c_0_33,negated_conjecture,
( ~ p9(f8(X2,X1),f4(X1))
| ~ p9(f8(X2,X1),X2)
| ~ p9(c12,X2)
| ~ p11(X1,c15) ),
c_0_27 ).
cnf(c_0_34,negated_conjecture,
p11(c14,c15),
p11_6 ).
cnf(c_0_35,negated_conjecture,
( ~ p9(X1,f4(c16))
| p9(X1,f4(c14)) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_36,negated_conjecture,
p9(c12,f4(c16)),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_37,negated_conjecture,
( ~ p9(c12,X1)
| ~ p11(X2,c15)
| p9(f8(X1,X2),f4(X2))
| p9(f8(X1,X2),X1) ),
c_0_32 ).
cnf(c_0_38,negated_conjecture,
( ~ p9(c12,X1)
| ~ p9(f8(X1,c14),X1)
| ~ p9(f8(X1,c14),f4(c14)) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_39,negated_conjecture,
p9(c12,f4(c14)),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_40,negated_conjecture,
( ~ p9(c12,X1)
| p9(f8(X1,c14),X1)
| p9(f8(X1,c14),f4(c14)) ),
inference(spm,[status(thm)],[c_0_37,c_0_34]) ).
cnf(c_0_41,negated_conjecture,
~ p9(f8(f4(c14),c14),f4(c14)),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_42,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_39]),c_0_41]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN578-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/5.36 % Computer : n017.cluster.edu
% 0.11/5.36 % Model : x86_64 x86_64
% 0.11/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.36 % Memory : 8046.5625MB
% 0.11/5.36 % OS : Linux 6.8.0-71-generic
% 0.11/5.36 % CPULimit : 300
% 0.11/5.36 % WCLimit : 300
% 0.11/5.36 % DateTime : Mon Sep 21 11:04:18 UTC 2026
% 0.11/5.37 % CPUTime :
% 0.11/5.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/5.41 Running first-order theorem proving
% 0.14/5.41 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
% 0.14/5.45 % Version: 3.5.1
% 0.14/5.45 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/5.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/5.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/5.45 % Starting new_bool_3 with 300s (1) cores
% 0.14/5.45 % Starting new_bool_1 with 300s (1) cores
% 0.14/5.45 % Starting sh5l with 300s (1) cores
% 0.14/5.45 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2175784 completed with status 0
% 0.14/5.45 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.14/5.45 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/5.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/5.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/5.45 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/5.45 % No SInE strategy applied
% 0.14/5.45 % Search class: FGHNM-FFSS21-SFFFFFNN
% 0.14/5.45 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/5.45 % Starting SubtermCWHack with 136s (1) cores
% 0.14/5.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.14/5.45 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.14/5.45 % Starting new_bool_3 with 136s (1) cores
% 0.14/5.45 % Starting new_bool_1 with 136s (1) cores
% 0.14/5.45 % new_bool_3 with pid 2175793 completed with status 0
% 0.14/5.45 % Result found by new_bool_3
% 0.14/5.45 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/5.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/5.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/5.45 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/5.45 % No SInE strategy applied
% 0.14/5.45 % Search class: FGHNM-FFSS21-SFFFFFNN
% 0.14/5.45 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/5.45 % Starting SubtermCWHack with 136s (1) cores
% 0.14/5.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.14/5.45 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.14/5.45 % Starting new_bool_3 with 136s (1) cores
% 0.14/5.45 % Preprocessing time : 0.001 s
% 0.14/5.45 % Presaturation interreduction done
% 0.14/5.45
% 0.14/5.45 % Proof found!
% 0.14/5.45 % SZS status Unsatisfiable
% 0.14/5.45 % SZS output start CNFRefutation
% See solution above
% 0.14/5.45 % Parsed axioms : 23
% 0.14/5.45 % Removed by relevancy pruning/SinE : 0
% 0.14/5.45 % Initial clauses : 23
% 0.14/5.45 % Removed in clause preprocessing : 0
% 0.14/5.45 % Initial clauses in saturation : 23
% 0.14/5.45 % Processed clauses : 303
% 0.14/5.45 % ...of these trivial : 42
% 0.14/5.45 % ...subsumed : 0
% 0.14/5.45 % ...remaining for further processing : 261
% 0.14/5.45 % Other redundant clauses eliminated : 0
% 0.14/5.45 % Clauses deleted for lack of memory : 0
% 0.14/5.45 % Backward-subsumed : 8
% 0.14/5.45 % Backward-rewritten : 10
% 0.14/5.45 % Generated clauses : 1120
% 0.14/5.45 % ...of the previous two non-redundant : 657
% 0.14/5.45 % ...aggressively subsumed : 0
% 0.14/5.45 % Contextual simplify-reflections : 2
% 0.14/5.45 % Paramodulations : 1120
% 0.14/5.45 % Factorizations : 0
% 0.14/5.45 % NegExts : 0
% 0.14/5.45 % Equation resolutions : 0
% 0.14/5.45 % Disequality decompositions : 0
% 0.14/5.45 % Total rewrite steps : 512
% 0.14/5.45 % ...of those cached : 345
% 0.14/5.45 % Propositional unsat checks : 0
% 0.14/5.45 % Propositional check models : 0
% 0.14/5.45 % Propositional check unsatisfiable : 0
% 0.14/5.45 % Propositional clauses : 0
% 0.14/5.45 % Propositional clauses after purity: 0
% 0.14/5.45 % Propositional unsat core size : 0
% 0.14/5.45 % Propositional preprocessing time : 0.000
% 0.14/5.45 % Propositional encoding time : 0.000
% 0.14/5.45 % Propositional solver time : 0.000
% 0.14/5.45 % Success case prop preproc time : 0.000
% 0.14/5.45 % Success case prop encoding time : 0.000
% 0.14/5.45 % Success case prop solver time : 0.000
% 0.14/5.45 % Current number of processed clauses : 220
% 0.14/5.45 % Positive orientable unit clauses : 100
% 0.14/5.45 % Positive unorientable unit clauses: 0
% 0.14/5.45 % Negative unit clauses : 3
% 0.14/5.45 % Non-unit-clauses : 117
% 0.14/5.45 % Current number of unprocessed clauses: 377
% 0.14/5.45 % ...number of literals in the above : 534
% 0.14/5.45 % Current number of archived formulas : 0
% 0.14/5.45 % Current number of archived clauses : 41
% 0.14/5.45 % Clause-clause subsumption calls (NU) : 1400
% 0.14/5.45 % Rec. Clause-clause subsumption calls : 1059
% 0.14/5.45 % Non-unit clause-clause subsumptions : 10
% 0.14/5.45 % Unit Clause-clause subsumption calls : 30
% 0.14/5.45 % Rewrite failures with RHS unbound : 0
% 0.14/5.45 % BW rewrite match attempts : 435
% 0.14/5.45 % BW rewrite match successes : 10
% 0.14/5.45 % Condensation attempts : 0
% 0.14/5.45 % Condensation successes : 0
% 0.14/5.45 % Termbank termtop insertions : 15447
% 0.14/5.45 % Search garbage collected termcells : 69
% 0.14/5.45
% 0.14/5.45 % -------------------------------------------------
% 0.14/5.45 % User time : 0.023 s
% 0.14/5.45 % System time : 0.003 s
% 0.14/5.45 % Total time : 0.026 s
% 0.14/5.45 % Maximum resident set size: 3648 pages
% 0.14/5.45
% 0.14/5.45 % -------------------------------------------------
% 0.14/5.45 % User time : 0.115 s
% 0.14/5.45 % System time : 0.014 s
% 0.14/5.45 % Total time : 0.129 s
% 0.14/5.45 % Maximum resident set size: 4608 pages
% 0.14/5.45 % E exiting
%------------------------------------------------------------------------------