%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN558-1 : 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 : n015.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 03:25:36 PM UTC 2026
% Result : Unsatisfiable 0.26s 0.59s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of clauses : 40 ( 13 unt; 0 nHn; 32 RR)
% Number of literals : 94 ( 0 equ; 63 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 79 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p5_11,negated_conjecture,
( ~ p5(X1,X4,X3)
| ~ p5(X1,X2,X4)
| p5(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_11) ).
cnf(p5_6,negated_conjecture,
p5(c7,X1,f3(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_6) ).
cnf(not_p5_8,negated_conjecture,
( ~ p5(c7,c9,X1)
| ~ p5(c7,c8,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p5_8) ).
cnf(p5_14,negated_conjecture,
( ~ p5(X6,X4,X5)
| ~ p4(X6,X1)
| ~ p2(X5,X3)
| ~ p2(X4,X2)
| p5(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_14) ).
cnf(p2_1,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_1) ).
cnf(p2_13,negated_conjecture,
( ~ p5(c7,X3,X1)
| ~ p5(c7,X3,X2)
| ~ p6(c7,X1)
| ~ p6(c7,X2)
| p2(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_13) ).
cnf(p4_2,negated_conjecture,
p4(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_2) ).
cnf(p6_3,negated_conjecture,
p6(c7,f3(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_3) ).
cnf(p5_5,negated_conjecture,
p5(c7,c10,c8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_5) ).
cnf(p5_4,negated_conjecture,
p5(c7,c10,c9),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_4) ).
cnf(c_0_10,negated_conjecture,
( ~ p5(X1,X4,X3)
| ~ p5(X1,X2,X4)
| p5(X1,X2,X3) ),
inference(fof_simplification,[status(thm)],[p5_11]) ).
cnf(c_0_11,negated_conjecture,
( ~ p5(X1,X4,X3)
| ~ p5(X1,X2,X4)
| p5(X1,X2,X3) ),
c_0_10 ).
cnf(c_0_12,negated_conjecture,
p5(c7,X1,f3(X1)),
p5_6 ).
cnf(c_0_13,negated_conjecture,
( ~ p5(c7,X1,X2)
| p5(c7,X1,f3(X2)) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_14,negated_conjecture,
( ~ p5(c7,c9,X1)
| ~ p5(c7,c8,X1) ),
inference(fof_simplification,[status(thm)],[not_p5_8]) ).
cnf(c_0_15,negated_conjecture,
( ~ p5(c7,X3,X2)
| ~ p5(c7,X1,X3)
| p5(c7,X1,f3(X2)) ),
inference(spm,[status(thm)],[c_0_11,c_0_13]) ).
cnf(c_0_16,negated_conjecture,
( ~ p5(X6,X4,X5)
| ~ p4(X6,X1)
| ~ p2(X5,X3)
| ~ p2(X4,X2)
| p5(X1,X2,X3) ),
inference(fof_simplification,[status(thm)],[p5_14]) ).
cnf(c_0_17,negated_conjecture,
( ~ p5(c7,c9,X1)
| ~ p5(c7,c8,X1) ),
c_0_14 ).
cnf(c_0_18,negated_conjecture,
( ~ p5(c7,f3(X1),X2)
| p5(c7,X1,f3(X2)) ),
inference(spm,[status(thm)],[c_0_15,c_0_12]) ).
cnf(c_0_19,negated_conjecture,
( ~ p5(X6,X4,X5)
| ~ p4(X6,X1)
| ~ p2(X5,X3)
| ~ p2(X4,X2)
| p5(X1,X2,X3) ),
c_0_16 ).
cnf(c_0_20,negated_conjecture,
( ~ p5(c7,c8,X1)
| ~ p5(c7,c9,f3(X1)) ),
inference(spm,[status(thm)],[c_0_17,c_0_13]) ).
cnf(c_0_21,negated_conjecture,
( ~ p5(c7,f3(X1),X2)
| p5(c7,X1,f3(f3(X2))) ),
inference(spm,[status(thm)],[c_0_18,c_0_13]) ).
cnf(c_0_22,negated_conjecture,
( ~ p2(X4,X2)
| ~ p2(f3(X4),X3)
| ~ p4(c7,X1)
| p5(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_19,c_0_12]) ).
cnf(c_0_23,negated_conjecture,
p2(X1,X1),
p2_1 ).
cnf(c_0_24,negated_conjecture,
( ~ p5(c7,X3,X1)
| ~ p5(c7,X3,X2)
| ~ p6(c7,X1)
| ~ p6(c7,X2)
| p2(X1,X2) ),
inference(fof_simplification,[status(thm)],[p2_13]) ).
cnf(c_0_25,negated_conjecture,
( ~ p5(c7,f3(c9),X1)
| ~ p5(c7,c8,f3(X1)) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_26,negated_conjecture,
( ~ p2(X3,X2)
| ~ p4(c7,X1)
| p5(X1,X2,f3(X3)) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_27,negated_conjecture,
p4(X1,X1),
p4_2 ).
cnf(c_0_28,negated_conjecture,
( ~ p5(c7,X3,X1)
| ~ p5(c7,X3,X2)
| ~ p6(c7,X1)
| ~ p6(c7,X2)
| p2(X1,X2) ),
c_0_24 ).
cnf(c_0_29,negated_conjecture,
p6(c7,f3(X1)),
p6_3 ).
cnf(c_0_30,negated_conjecture,
( ~ p2(X1,f3(c9))
| ~ p5(c7,c8,f3(f3(X1))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27])]) ).
cnf(c_0_31,negated_conjecture,
( ~ p2(X2,f3(X1))
| p5(c7,X1,f3(f3(X2))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_26]),c_0_27])]) ).
cnf(c_0_32,negated_conjecture,
( ~ p6(c7,X1)
| ~ p5(c7,X3,X2)
| ~ p5(c7,X3,X1)
| p2(X1,f3(X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_13]),c_0_29])]) ).
cnf(c_0_33,negated_conjecture,
( ~ p2(X1,f3(c8))
| ~ p2(X1,f3(c9)) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_34,negated_conjecture,
( ~ p5(c7,X1,X2)
| p2(f3(X1),f3(X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_12]),c_0_29])]) ).
cnf(c_0_35,negated_conjecture,
( ~ p2(f3(X1),f3(c9))
| ~ p5(c7,X1,c8) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_36,negated_conjecture,
( ~ p5(c7,X1,c9)
| ~ p5(c7,X1,c8) ),
inference(spm,[status(thm)],[c_0_35,c_0_34]) ).
cnf(c_0_37,negated_conjecture,
p5(c7,c10,c8),
p5_5 ).
cnf(c_0_38,negated_conjecture,
p5(c7,c10,c9),
p5_4 ).
cnf(c_0_39,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN558-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.43 % Computer : n015.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Mon Sep 21 11:11:06 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.43 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.51 Running first-order theorem proving
% 0.16/0.51 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
% 0.26/0.59 % Version: 3.5.1
% 0.26/0.59 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.26/0.59 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.26/0.59 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.26/0.59 % Starting new_bool_3 with 300s (1) cores
% 0.26/0.59 % Starting new_bool_1 with 300s (1) cores
% 0.26/0.59 % Starting sh5l with 300s (1) cores
% 0.26/0.59 % new_bool_3 with pid 1323112 completed with status 0
% 0.26/0.59 % Result found by new_bool_3
% 0.26/0.59 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.26/0.59 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.26/0.59 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.26/0.59 % Starting new_bool_3 with 300s (1) cores
% 0.26/0.59 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.26/0.59 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.26/0.59 % Search class: FHHNM-FFSF11-SFFFFFNN
% 0.26/0.59 % partial match(1): FHHNF-FFSF11-SFFFFFNN
% 0.26/0.59 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.26/0.59 % Starting SubtermCWHack with 31s (1) cores
% 0.26/0.59 % SubtermCWHack with pid 1323116 completed with status 0
% 0.26/0.59 % Result found by SubtermCWHack
% 0.26/0.59 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.26/0.59 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.26/0.59 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.26/0.59 % Starting new_bool_3 with 300s (1) cores
% 0.26/0.59 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.26/0.59 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.26/0.59 % Search class: FHHNM-FFSF11-SFFFFFNN
% 0.26/0.59 % partial match(1): FHHNF-FFSF11-SFFFFFNN
% 0.26/0.59 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.26/0.59 % Starting SubtermCWHack with 31s (1) cores
% 0.26/0.59 % Preprocessing time : 0.002 s
% 0.26/0.59
% 0.26/0.59 % Proof found!
% 0.26/0.59 % SZS status Unsatisfiable
% 0.26/0.59 % SZS output start CNFRefutation
% See solution above
% 0.26/0.59 % Parsed axioms : 14
% 0.26/0.59 % Removed by relevancy pruning/SinE : 0
% 0.26/0.59 % Initial clauses : 14
% 0.26/0.59 % Removed in clause preprocessing : 0
% 0.26/0.59 % Initial clauses in saturation : 14
% 0.26/0.59 % Processed clauses : 415
% 0.26/0.59 % ...of these trivial : 0
% 0.26/0.59 % ...subsumed : 201
% 0.26/0.59 % ...remaining for further processing : 214
% 0.26/0.59 % Other redundant clauses eliminated : 0
% 0.26/0.59 % Clauses deleted for lack of memory : 0
% 0.26/0.59 % Backward-subsumed : 2
% 0.26/0.59 % Backward-rewritten : 0
% 0.26/0.59 % Generated clauses : 865
% 0.26/0.59 % ...of the previous two non-redundant : 853
% 0.26/0.59 % ...aggressively subsumed : 0
% 0.26/0.59 % Contextual simplify-reflections : 0
% 0.26/0.59 % Paramodulations : 865
% 0.26/0.59 % Factorizations : 0
% 0.26/0.59 % NegExts : 0
% 0.26/0.59 % Equation resolutions : 0
% 0.26/0.59 % Disequality decompositions : 0
% 0.26/0.59 % Total rewrite steps : 224
% 0.26/0.59 % ...of those cached : 199
% 0.26/0.59 % Propositional unsat checks : 0
% 0.26/0.59 % Propositional check models : 0
% 0.26/0.59 % Propositional check unsatisfiable : 0
% 0.26/0.59 % Propositional clauses : 0
% 0.26/0.59 % Propositional clauses after purity: 0
% 0.26/0.59 % Propositional unsat core size : 0
% 0.26/0.59 % Propositional preprocessing time : 0.000
% 0.26/0.59 % Propositional encoding time : 0.000
% 0.26/0.59 % Propositional solver time : 0.000
% 0.26/0.59 % Success case prop preproc time : 0.000
% 0.26/0.59 % Success case prop encoding time : 0.000
% 0.26/0.59 % Success case prop solver time : 0.000
% 0.26/0.59 % Current number of processed clauses : 212
% 0.26/0.59 % Positive orientable unit clauses : 8
% 0.26/0.59 % Positive unorientable unit clauses: 0
% 0.26/0.59 % Negative unit clauses : 61
% 0.26/0.59 % Non-unit-clauses : 143
% 0.26/0.59 % Current number of unprocessed clauses: 452
% 0.26/0.59 % ...number of literals in the above : 1401
% 0.26/0.59 % Current number of archived formulas : 0
% 0.26/0.59 % Current number of archived clauses : 2
% 0.26/0.59 % Clause-clause subsumption calls (NU) : 4851
% 0.26/0.59 % Rec. Clause-clause subsumption calls : 2876
% 0.26/0.59 % Non-unit clause-clause subsumptions : 53
% 0.26/0.59 % Unit Clause-clause subsumption calls : 2922
% 0.26/0.59 % Rewrite failures with RHS unbound : 0
% 0.26/0.59 % BW rewrite match attempts : 58
% 0.26/0.59 % BW rewrite match successes : 0
% 0.26/0.59 % Condensation attempts : 0
% 0.26/0.59 % Condensation successes : 0
% 0.26/0.59 % Termbank termtop insertions : 10786
% 0.26/0.59 % Search garbage collected termcells : 54
% 0.26/0.59
% 0.26/0.59 % -------------------------------------------------
% 0.26/0.59 % User time : 0.038 s
% 0.26/0.59 % System time : 0.001 s
% 0.26/0.59 % Total time : 0.039 s
% 0.26/0.59 % Maximum resident set size: 3640 pages
% 0.26/0.59
% 0.26/0.59 % -------------------------------------------------
% 0.26/0.59 % User time : 0.042 s
% 0.26/0.59 % System time : 0.005 s
% 0.26/0.59 % Total time : 0.047 s
% 0.26/0.59 % Maximum resident set size: 4608 pages
% 0.26/0.59 % E exiting
%------------------------------------------------------------------------------