%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN592-1 : 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 : n006.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 03:25:41 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.45s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of clauses : 36 ( 17 unt; 6 nHn; 29 RR)
% Number of literals : 71 ( 0 equ; 35 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 47 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p11_27,negated_conjecture,
( ~ p12(c14,f4(X1,c17))
| p11(c13,f4(f6(X1),c17))
| p11(c13,f4(c17,f6(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_27) ).
cnf(p3_26,negated_conjecture,
( ~ p2(X2,X4)
| ~ p2(X1,X3)
| p3(f4(X1,X2),f4(X3,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_26) ).
cnf(p2_22,negated_conjecture,
( ~ p12(c14,f4(X1,c17))
| p2(f6(X1),f5(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_22) ).
cnf(p11_25,negated_conjecture,
( ~ p11(X4,X3)
| ~ p7(X4,X1)
| ~ p3(X3,X2)
| p11(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_25) ).
cnf(p12_11,negated_conjecture,
p12(c14,f4(c18,c17)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_11) ).
cnf(p2_4,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_4) ).
cnf(not_p11_13,negated_conjecture,
~ p11(c13,f4(f5(c18),c17)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p11_13) ).
cnf(p7_3,negated_conjecture,
p7(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_3) ).
cnf(not_p11_12,negated_conjecture,
~ p11(c13,f4(c17,f5(c18))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p11_12) ).
cnf(c_0_9,negated_conjecture,
( ~ p12(c14,f4(X1,c17))
| p11(c13,f4(f6(X1),c17))
| p11(c13,f4(c17,f6(X1))) ),
inference(fof_simplification,[status(thm)],[p11_27]) ).
cnf(c_0_10,negated_conjecture,
( ~ p2(X2,X4)
| ~ p2(X1,X3)
| p3(f4(X1,X2),f4(X3,X4)) ),
inference(fof_simplification,[status(thm)],[p3_26]) ).
cnf(c_0_11,negated_conjecture,
( ~ p12(c14,f4(X1,c17))
| p2(f6(X1),f5(X1)) ),
inference(fof_simplification,[status(thm)],[p2_22]) ).
cnf(c_0_12,negated_conjecture,
( ~ p11(X4,X3)
| ~ p7(X4,X1)
| ~ p3(X3,X2)
| p11(X1,X2) ),
inference(fof_simplification,[status(thm)],[p11_25]) ).
cnf(c_0_13,negated_conjecture,
( ~ p12(c14,f4(X1,c17))
| p11(c13,f4(f6(X1),c17))
| p11(c13,f4(c17,f6(X1))) ),
c_0_9 ).
cnf(c_0_14,negated_conjecture,
p12(c14,f4(c18,c17)),
p12_11 ).
cnf(c_0_15,negated_conjecture,
( ~ p2(X2,X4)
| ~ p2(X1,X3)
| p3(f4(X1,X2),f4(X3,X4)) ),
c_0_10 ).
cnf(c_0_16,negated_conjecture,
p2(X1,X1),
p2_4 ).
cnf(c_0_17,negated_conjecture,
( ~ p12(c14,f4(X1,c17))
| p2(f6(X1),f5(X1)) ),
c_0_11 ).
cnf(c_0_18,negated_conjecture,
( ~ p11(X4,X3)
| ~ p7(X4,X1)
| ~ p3(X3,X2)
| p11(X1,X2) ),
c_0_12 ).
cnf(c_0_19,negated_conjecture,
( p11(c13,f4(c17,f6(c18)))
| p11(c13,f4(f6(c18),c17)) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_20,negated_conjecture,
( ~ p2(X1,X3)
| p3(f4(X1,X2),f4(X3,X2)) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_21,negated_conjecture,
p2(f6(c18),f5(c18)),
inference(spm,[status(thm)],[c_0_17,c_0_14]) ).
cnf(c_0_22,negated_conjecture,
( ~ p7(c13,X1)
| ~ p3(f4(f6(c18),c17),X2)
| p11(X1,X2)
| p11(c13,f4(c17,f6(c18))) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_23,negated_conjecture,
p3(f4(f6(c18),X1),f4(f5(c18),X1)),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_24,negated_conjecture,
~ p11(c13,f4(f5(c18),c17)),
inference(fof_simplification,[status(thm)],[not_p11_13]) ).
cnf(c_0_25,negated_conjecture,
( ~ p7(c13,X1)
| p11(X1,f4(f5(c18),c17))
| p11(c13,f4(c17,f6(c18))) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_26,negated_conjecture,
p7(X1,X1),
p7_3 ).
cnf(c_0_27,negated_conjecture,
~ p11(c13,f4(f5(c18),c17)),
c_0_24 ).
cnf(c_0_28,negated_conjecture,
p11(c13,f4(c17,f6(c18))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]) ).
cnf(c_0_29,negated_conjecture,
( ~ p2(X1,X2)
| p3(f4(X1,f6(c18)),f4(X2,f5(c18))) ),
inference(spm,[status(thm)],[c_0_15,c_0_21]) ).
cnf(c_0_30,negated_conjecture,
( ~ p7(c13,X1)
| ~ p3(f4(c17,f6(c18)),X2)
| p11(X1,X2) ),
inference(spm,[status(thm)],[c_0_18,c_0_28]) ).
cnf(c_0_31,negated_conjecture,
p3(f4(X1,f6(c18)),f4(X1,f5(c18))),
inference(spm,[status(thm)],[c_0_29,c_0_16]) ).
cnf(c_0_32,negated_conjecture,
~ p11(c13,f4(c17,f5(c18))),
inference(fof_simplification,[status(thm)],[not_p11_12]) ).
cnf(c_0_33,negated_conjecture,
( ~ p7(c13,X1)
| p11(X1,f4(c17,f5(c18))) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_34,negated_conjecture,
~ p11(c13,f4(c17,f5(c18))),
c_0_32 ).
cnf(c_0_35,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_26]),c_0_34]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN592-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n006.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 11:09:27 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.41 Running first-order theorem proving
% 0.13/0.41 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
% 0.13/0.45 % Version: 3.5.1
% 0.13/0.45 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.13/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.13/0.45 % Starting new_bool_3 with 300s (1) cores
% 0.13/0.45 % Starting new_bool_1 with 300s (1) cores
% 0.13/0.45 % Starting sh5l with 300s (1) cores
% 0.13/0.45 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2705881 completed with status 0
% 0.13/0.45 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.13/0.45 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.13/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.13/0.45 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.13/0.45 % No SInE strategy applied
% 0.13/0.45 % Search class: FGUNM-FFSM21-SFFFFFNN
% 0.13/0.45 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.13/0.45 % Starting SubtermCWHack with 136s (1) cores
% 0.13/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.13/0.45 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04AN with 136s (1) cores
% 0.13/0.45 % Starting new_bool_3 with 136s (1) cores
% 0.13/0.45 % Starting new_bool_1 with 136s (1) cores
% 0.13/0.45 % new_bool_1 with pid 2705889 completed with status 0
% 0.13/0.45 % Result found by new_bool_1
% 0.13/0.45 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.13/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.13/0.45 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.13/0.45 % No SInE strategy applied
% 0.13/0.45 % Search class: FGUNM-FFSM21-SFFFFFNN
% 0.13/0.45 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.13/0.45 % Starting SubtermCWHack with 136s (1) cores
% 0.13/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.13/0.45 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04AN with 136s (1) cores
% 0.13/0.45 % Starting new_bool_3 with 136s (1) cores
% 0.13/0.45 % Starting new_bool_1 with 136s (1) cores
% 0.13/0.45 % Preprocessing time : 0.001 s
% 0.13/0.45 % Presaturation interreduction done
% 0.13/0.45
% 0.13/0.45 % Proof found!
% 0.13/0.45 % SZS status Unsatisfiable
% 0.13/0.45 % SZS output start CNFRefutation
% See solution above
% 0.13/0.45 % Parsed axioms : 27
% 0.13/0.45 % Removed by relevancy pruning/SinE : 0
% 0.13/0.45 % Initial clauses : 27
% 0.13/0.45 % Removed in clause preprocessing : 0
% 0.13/0.45 % Initial clauses in saturation : 27
% 0.13/0.45 % Processed clauses : 381
% 0.13/0.45 % ...of these trivial : 72
% 0.13/0.45 % ...subsumed : 1
% 0.13/0.45 % ...remaining for further processing : 308
% 0.13/0.45 % Other redundant clauses eliminated : 0
% 0.13/0.45 % Clauses deleted for lack of memory : 0
% 0.13/0.45 % Backward-subsumed : 0
% 0.13/0.45 % Backward-rewritten : 5
% 0.13/0.45 % Generated clauses : 2083
% 0.13/0.45 % ...of the previous two non-redundant : 1716
% 0.13/0.45 % ...aggressively subsumed : 0
% 0.13/0.45 % Contextual simplify-reflections : 0
% 0.13/0.45 % Paramodulations : 2083
% 0.13/0.45 % Factorizations : 0
% 0.13/0.45 % NegExts : 0
% 0.13/0.45 % Equation resolutions : 0
% 0.13/0.45 % Disequality decompositions : 0
% 0.13/0.45 % Total rewrite steps : 441
% 0.13/0.45 % ...of those cached : 180
% 0.13/0.45 % Propositional unsat checks : 0
% 0.13/0.45 % Propositional check models : 0
% 0.13/0.45 % Propositional check unsatisfiable : 0
% 0.13/0.45 % Propositional clauses : 0
% 0.13/0.45 % Propositional clauses after purity: 0
% 0.13/0.45 % Propositional unsat core size : 0
% 0.13/0.45 % Propositional preprocessing time : 0.000
% 0.13/0.45 % Propositional encoding time : 0.000
% 0.13/0.45 % Propositional solver time : 0.000
% 0.13/0.45 % Success case prop preproc time : 0.000
% 0.13/0.45 % Success case prop encoding time : 0.000
% 0.13/0.45 % Success case prop solver time : 0.000
% 0.13/0.45 % Current number of processed clauses : 276
% 0.13/0.45 % Positive orientable unit clauses : 120
% 0.13/0.45 % Positive unorientable unit clauses: 0
% 0.13/0.45 % Negative unit clauses : 3
% 0.13/0.45 % Non-unit-clauses : 153
% 0.13/0.45 % Current number of unprocessed clauses: 1388
% 0.13/0.45 % ...number of literals in the above : 1439
% 0.13/0.45 % Current number of archived formulas : 0
% 0.13/0.45 % Current number of archived clauses : 32
% 0.13/0.45 % Clause-clause subsumption calls (NU) : 2077
% 0.13/0.45 % Rec. Clause-clause subsumption calls : 1984
% 0.13/0.45 % Non-unit clause-clause subsumptions : 1
% 0.13/0.45 % Unit Clause-clause subsumption calls : 127
% 0.13/0.45 % Rewrite failures with RHS unbound : 0
% 0.13/0.45 % BW rewrite match attempts : 496
% 0.13/0.45 % BW rewrite match successes : 2
% 0.13/0.45 % Condensation attempts : 0
% 0.13/0.45 % Condensation successes : 0
% 0.13/0.45 % Termbank termtop insertions : 45234
% 0.13/0.45 % Search garbage collected termcells : 67
% 0.13/0.45
% 0.13/0.45 % -------------------------------------------------
% 0.13/0.45 % User time : 0.022 s
% 0.13/0.45 % System time : 0.002 s
% 0.13/0.45 % Total time : 0.024 s
% 0.13/0.45 % Maximum resident set size: 3652 pages
% 0.13/0.45
% 0.13/0.45 % -------------------------------------------------
% 0.13/0.45 % User time : 0.106 s
% 0.13/0.45 % System time : 0.020 s
% 0.13/0.45 % Total time : 0.126 s
% 0.13/0.45 % Maximum resident set size: 4864 pages
% 0.13/0.45 % E exiting
%------------------------------------------------------------------------------