%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SYN559-1 : 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 : 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 03:35:14 PM UTC 2026
% Result : Unsatisfiable 0.25s 0.53s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 26 ( 17 unt; 0 nHn; 24 RR)
% Number of literals : 44 ( 0 equ; 23 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 21 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p2_8,negated_conjecture,
( ~ p2(X3,X2)
| ~ p2(X3,X1)
| p2(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_8) ).
cnf(p2_1,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_1) ).
cnf(p2_5,negated_conjecture,
p2(f5(c14,c10),c15),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_5) ).
cnf(not_p8_14,negated_conjecture,
( ~ p2(f5(X2,c10),f3(f4(c11),c12))
| ~ p2(f6(c9,X1),X2)
| ~ p7(c10,X1)
| ~ p8(X1,c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p8_14) ).
cnf(p2_6,negated_conjecture,
p2(f3(f4(c11),c12),c15),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_6) ).
cnf(p7_3,negated_conjecture,
p7(c10,c13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_3) ).
cnf(p8_2,negated_conjecture,
p8(c13,c9),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_2) ).
cnf(p2_4,negated_conjecture,
p2(f6(c9,c13),c14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_4) ).
cnf(c_0_8,negated_conjecture,
( ~ p2(X3,X2)
| ~ p2(X3,X1)
| p2(X1,X2) ),
inference(fof_simplification,[status(thm)],[p2_8]) ).
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(f5(c14,c10),c15),
p2_5 ).
cnf(c_0_13,negated_conjecture,
( ~ p2(f5(X2,c10),f3(f4(c11),c12))
| ~ p2(f6(c9,X1),X2)
| ~ p7(c10,X1)
| ~ p8(X1,c9) ),
inference(fof_simplification,[status(thm)],[not_p8_14]) ).
cnf(c_0_14,negated_conjecture,
p2(c15,f5(c14,c10)),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,negated_conjecture,
p2(f3(f4(c11),c12),c15),
p2_6 ).
cnf(c_0_16,negated_conjecture,
( ~ p2(f5(X2,c10),f3(f4(c11),c12))
| ~ p2(f6(c9,X1),X2)
| ~ p7(c10,X1)
| ~ p8(X1,c9) ),
c_0_13 ).
cnf(c_0_17,negated_conjecture,
p7(c10,c13),
p7_3 ).
cnf(c_0_18,negated_conjecture,
p8(c13,c9),
p8_2 ).
cnf(c_0_19,negated_conjecture,
( ~ p2(c15,X1)
| p2(X1,f5(c14,c10)) ),
inference(spm,[status(thm)],[c_0_9,c_0_14]) ).
cnf(c_0_20,negated_conjecture,
p2(c15,f3(f4(c11),c12)),
inference(spm,[status(thm)],[c_0_11,c_0_15]) ).
cnf(c_0_21,negated_conjecture,
( ~ p2(f6(c9,c13),X1)
| ~ p2(f5(X1,c10),f3(f4(c11),c12)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]) ).
cnf(c_0_22,negated_conjecture,
p2(f6(c9,c13),c14),
p2_4 ).
cnf(c_0_23,negated_conjecture,
p2(f3(f4(c11),c12),f5(c14,c10)),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_24,negated_conjecture,
~ p2(f5(c14,c10),f3(f4(c11),c12)),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_25,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_23]),c_0_24]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN559-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.43 % Computer : n016.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Mon Sep 21 11:12:37 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.49 Running first-order theorem proving
% 0.17/0.49 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
% 0.25/0.53 % Version: 3.5.1
% 0.25/0.53 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.25/0.53 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.53 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.25/0.53 % Starting new_bool_3 with 300s (1) cores
% 0.25/0.53 % Starting new_bool_1 with 300s (1) cores
% 0.25/0.53 % Starting sh5l with 300s (1) cores
% 0.25/0.53 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2284568 completed with status 0
% 0.25/0.53 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.25/0.53 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.25/0.53 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.53 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.25/0.53 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.25/0.53 % No SInE strategy applied
% 0.25/0.53 % Search class: FHHNF-FFSS21-SFFFFFNN
% 0.25/0.53 % partial match(1): FGHNF-FFSS21-SFFFFFNN
% 0.25/0.53 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.25/0.53 % Starting SubtermCWHack with 136s (1) cores
% 0.25/0.53 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.25/0.53 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.25/0.53 % Starting new_bool_3 with 136s (1) cores
% 0.25/0.53 % Starting new_bool_1 with 136s (1) cores
% 0.25/0.53 % new_bool_3 with pid 2284577 completed with status 0
% 0.25/0.53 % Result found by new_bool_3
% 0.25/0.53 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.25/0.53 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.25/0.53 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.25/0.53 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.25/0.53 % No SInE strategy applied
% 0.25/0.53 % Search class: FHHNF-FFSS21-SFFFFFNN
% 0.25/0.53 % partial match(1): FGHNF-FFSS21-SFFFFFNN
% 0.25/0.53 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.25/0.53 % Starting SubtermCWHack with 136s (1) cores
% 0.25/0.53 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.25/0.53 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.25/0.53 % Starting new_bool_3 with 136s (1) cores
% 0.25/0.53 % Preprocessing time : 0.002 s
% 0.25/0.53 % Presaturation interreduction done
% 0.25/0.53
% 0.25/0.53 % Proof found!
% 0.25/0.53 % SZS status Unsatisfiable
% 0.25/0.53 % SZS output start CNFRefutation
% See solution above
% 0.25/0.53 % Parsed axioms : 14
% 0.25/0.53 % Removed by relevancy pruning/SinE : 0
% 0.25/0.53 % Initial clauses : 14
% 0.25/0.53 % Removed in clause preprocessing : 0
% 0.25/0.53 % Initial clauses in saturation : 14
% 0.25/0.53 % Processed clauses : 56
% 0.25/0.53 % ...of these trivial : 3
% 0.25/0.53 % ...subsumed : 0
% 0.25/0.53 % ...remaining for further processing : 53
% 0.25/0.53 % Other redundant clauses eliminated : 0
% 0.25/0.53 % Clauses deleted for lack of memory : 0
% 0.25/0.53 % Backward-subsumed : 0
% 0.25/0.53 % Backward-rewritten : 0
% 0.25/0.53 % Generated clauses : 126
% 0.25/0.53 % ...of the previous two non-redundant : 103
% 0.25/0.53 % ...aggressively subsumed : 0
% 0.25/0.53 % Contextual simplify-reflections : 0
% 0.25/0.53 % Paramodulations : 126
% 0.25/0.53 % Factorizations : 0
% 0.25/0.53 % NegExts : 0
% 0.25/0.53 % Equation resolutions : 0
% 0.25/0.53 % Disequality decompositions : 0
% 0.25/0.53 % Total rewrite steps : 25
% 0.25/0.53 % ...of those cached : 5
% 0.25/0.53 % Propositional unsat checks : 0
% 0.25/0.53 % Propositional check models : 0
% 0.25/0.53 % Propositional check unsatisfiable : 0
% 0.25/0.53 % Propositional clauses : 0
% 0.25/0.53 % Propositional clauses after purity: 0
% 0.25/0.53 % Propositional unsat core size : 0
% 0.25/0.53 % Propositional preprocessing time : 0.000
% 0.25/0.53 % Propositional encoding time : 0.000
% 0.25/0.53 % Propositional solver time : 0.000
% 0.25/0.53 % Success case prop preproc time : 0.000
% 0.25/0.53 % Success case prop encoding time : 0.000
% 0.25/0.53 % Success case prop solver time : 0.000
% 0.25/0.53 % Current number of processed clauses : 39
% 0.25/0.53 % Positive orientable unit clauses : 17
% 0.25/0.53 % Positive unorientable unit clauses: 0
% 0.25/0.53 % Negative unit clauses : 2
% 0.25/0.53 % Non-unit-clauses : 20
% 0.25/0.53 % Current number of unprocessed clauses: 69
% 0.25/0.53 % ...number of literals in the above : 118
% 0.25/0.53 % Current number of archived formulas : 0
% 0.25/0.53 % Current number of archived clauses : 14
% 0.25/0.53 % Clause-clause subsumption calls (NU) : 42
% 0.25/0.53 % Rec. Clause-clause subsumption calls : 36
% 0.25/0.53 % Non-unit clause-clause subsumptions : 0
% 0.25/0.53 % Unit Clause-clause subsumption calls : 4
% 0.25/0.53 % Rewrite failures with RHS unbound : 0
% 0.25/0.53 % BW rewrite match attempts : 5
% 0.25/0.53 % BW rewrite match successes : 0
% 0.25/0.53 % Condensation attempts : 0
% 0.25/0.53 % Condensation successes : 0
% 0.25/0.53 % Termbank termtop insertions : 2150
% 0.25/0.53 % Search garbage collected termcells : 41
% 0.25/0.53
% 0.25/0.53 % -------------------------------------------------
% 0.25/0.53 % User time : 0.009 s
% 0.25/0.53 % System time : 0.004 s
% 0.25/0.53 % Total time : 0.013 s
% 0.25/0.53 % Maximum resident set size: 3644 pages
% 0.25/0.53
% 0.25/0.53 % -------------------------------------------------
% 0.25/0.53 % User time : 0.040 s
% 0.25/0.53 % System time : 0.022 s
% 0.25/0.53 % Total time : 0.062 s
% 0.25/0.53 % Maximum resident set size: 4864 pages
% 0.25/0.53 % E exiting
%------------------------------------------------------------------------------