%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN573-1 : 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 : n005.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 03:25:38 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.50s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of clauses : 29 ( 13 unt; 4 nHn; 21 RR)
% Number of literals : 58 ( 0 equ; 29 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 48 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p11_14,negated_conjecture,
( ~ p12(X1)
| p2(X1,f9(c17))
| p11(X1,c16) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_14) ).
cnf(not_p11_19,negated_conjecture,
~ p11(c15,f3(f8(c16),f3(f8(f9(c17)),f5(f6(f7(c14)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p11_19) ).
cnf(p11_21,negated_conjecture,
( ~ p11(X1,X2)
| p11(X1,f3(f8(X2),f3(f8(X3),f5(f6(f7(c14)))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_21) ).
cnf(p11_17,negated_conjecture,
( ~ p11(X3,X4)
| ~ p2(X4,X2)
| ~ p2(X3,X1)
| p11(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_17) ).
cnf(p2_13,negated_conjecture,
( ~ p2(X3,X2)
| ~ p2(X3,X1)
| p2(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_13) ).
cnf(c15_is_p12_1,negated_conjecture,
p12(c15),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c15_is_p12_1) ).
cnf(p11_16,negated_conjecture,
p11(X1,f3(f8(X2),f3(f8(X1),f5(f6(f7(c14)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_16) ).
cnf(p2_3,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_3) ).
cnf(c_0_8,negated_conjecture,
( ~ p12(X1)
| p2(X1,f9(c17))
| p11(X1,c16) ),
inference(fof_simplification,[status(thm)],[p11_14]) ).
cnf(c_0_9,negated_conjecture,
~ p11(c15,f3(f8(c16),f3(f8(f9(c17)),f5(f6(f7(c14)))))),
inference(fof_simplification,[status(thm)],[not_p11_19]) ).
cnf(c_0_10,negated_conjecture,
( ~ p11(X1,X2)
| p11(X1,f3(f8(X2),f3(f8(X3),f5(f6(f7(c14)))))) ),
inference(fof_simplification,[status(thm)],[p11_21]) ).
cnf(c_0_11,negated_conjecture,
( ~ p11(X3,X4)
| ~ p2(X4,X2)
| ~ p2(X3,X1)
| p11(X1,X2) ),
inference(fof_simplification,[status(thm)],[p11_17]) ).
cnf(c_0_12,negated_conjecture,
( ~ p2(X3,X2)
| ~ p2(X3,X1)
| p2(X1,X2) ),
inference(fof_simplification,[status(thm)],[p2_13]) ).
cnf(c_0_13,negated_conjecture,
( ~ p12(X1)
| p2(X1,f9(c17))
| p11(X1,c16) ),
c_0_8 ).
cnf(c_0_14,negated_conjecture,
p12(c15),
c15_is_p12_1 ).
cnf(c_0_15,negated_conjecture,
~ p11(c15,f3(f8(c16),f3(f8(f9(c17)),f5(f6(f7(c14)))))),
c_0_9 ).
cnf(c_0_16,negated_conjecture,
( ~ p11(X1,X2)
| p11(X1,f3(f8(X2),f3(f8(X3),f5(f6(f7(c14)))))) ),
c_0_10 ).
cnf(c_0_17,negated_conjecture,
( ~ p11(X3,X4)
| ~ p2(X4,X2)
| ~ p2(X3,X1)
| p11(X1,X2) ),
c_0_11 ).
cnf(c_0_18,negated_conjecture,
p11(X1,f3(f8(X2),f3(f8(X1),f5(f6(f7(c14)))))),
p11_16 ).
cnf(c_0_19,negated_conjecture,
( ~ p2(X3,X2)
| ~ p2(X3,X1)
| p2(X1,X2) ),
c_0_12 ).
cnf(c_0_20,negated_conjecture,
p2(X1,X1),
p2_3 ).
cnf(c_0_21,negated_conjecture,
( p2(c15,f9(c17))
| p11(c15,c16) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_22,negated_conjecture,
~ p11(c15,c16),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_23,negated_conjecture,
( ~ p2(X4,X1)
| ~ p2(f3(f8(X3),f3(f8(X4),f5(f6(f7(c14))))),X2)
| p11(X1,X2) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_24,negated_conjecture,
( ~ p2(X2,X1)
| p2(X1,X2) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_25,negated_conjecture,
p2(c15,f9(c17)),
inference(sr,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_26,negated_conjecture,
( ~ p2(X3,X1)
| p11(X1,f3(f8(X2),f3(f8(X3),f5(f6(f7(c14)))))) ),
inference(spm,[status(thm)],[c_0_23,c_0_20]) ).
cnf(c_0_27,negated_conjecture,
p2(f9(c17),c15),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_28,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_26]),c_0_27])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN573-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n005.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 11:09:02 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.43 Running first-order theorem proving
% 0.10/0.43 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
% 0.19/0.50 % Version: 3.5.1
% 0.19/0.50 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.50 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.50 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.50 % Starting new_bool_3 with 300s (1) cores
% 0.19/0.50 % Starting new_bool_1 with 300s (1) cores
% 0.19/0.50 % Starting sh5l with 300s (1) cores
% 0.19/0.50 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3316838 completed with status 0
% 0.19/0.50 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.19/0.50 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.50 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.50 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.50 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.19/0.50 % No SInE strategy applied
% 0.19/0.50 % Search class: FGUNS-FFSF21-MFFFFFNN
% 0.19/0.50 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.50 % Starting SubtermCWHack with 136s (1) cores
% 0.19/0.50 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.19/0.50 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.19/0.50 % Starting new_bool_3 with 136s (1) cores
% 0.19/0.50 % Starting new_bool_1 with 136s (1) cores
% 0.19/0.50 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 3316844 completed with status 0
% 0.19/0.50 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.19/0.50 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.50 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.50 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.50 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.19/0.50 % No SInE strategy applied
% 0.19/0.50 % Search class: FGUNS-FFSF21-MFFFFFNN
% 0.19/0.50 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.50 % Starting SubtermCWHack with 136s (1) cores
% 0.19/0.50 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.19/0.50 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.19/0.50 % Preprocessing time : 0.001 s
% 0.19/0.50 % Presaturation interreduction done
% 0.19/0.50
% 0.19/0.50 % Proof found!
% 0.19/0.50 % SZS status Unsatisfiable
% 0.19/0.50 % SZS output start CNFRefutation
% See solution above
% 0.19/0.51 % Parsed axioms : 21
% 0.19/0.51 % Removed by relevancy pruning/SinE : 0
% 0.19/0.51 % Initial clauses : 21
% 0.19/0.51 % Removed in clause preprocessing : 0
% 0.19/0.51 % Initial clauses in saturation : 21
% 0.19/0.51 % Processed clauses : 1381
% 0.19/0.51 % ...of these trivial : 30
% 0.19/0.51 % ...subsumed : 924
% 0.19/0.51 % ...remaining for further processing : 427
% 0.19/0.51 % Other redundant clauses eliminated : 0
% 0.19/0.51 % Clauses deleted for lack of memory : 0
% 0.19/0.51 % Backward-subsumed : 16
% 0.19/0.51 % Backward-rewritten : 3
% 0.19/0.51 % Generated clauses : 5481
% 0.19/0.51 % ...of the previous two non-redundant : 3795
% 0.19/0.51 % ...aggressively subsumed : 0
% 0.19/0.51 % Contextual simplify-reflections : 3
% 0.19/0.51 % Paramodulations : 5477
% 0.19/0.51 % Factorizations : 0
% 0.19/0.51 % NegExts : 0
% 0.19/0.51 % Equation resolutions : 0
% 0.19/0.51 % Disequality decompositions : 0
% 0.19/0.51 % Total rewrite steps : 3935
% 0.19/0.51 % ...of those cached : 3872
% 0.19/0.51 % Propositional unsat checks : 0
% 0.19/0.51 % Propositional check models : 0
% 0.19/0.51 % Propositional check unsatisfiable : 0
% 0.19/0.51 % Propositional clauses : 0
% 0.19/0.51 % Propositional clauses after purity: 0
% 0.19/0.51 % Propositional unsat core size : 0
% 0.19/0.51 % Propositional preprocessing time : 0.000
% 0.19/0.51 % Propositional encoding time : 0.000
% 0.19/0.51 % Propositional solver time : 0.000
% 0.19/0.51 % Success case prop preproc time : 0.000
% 0.19/0.51 % Success case prop encoding time : 0.000
% 0.19/0.51 % Success case prop solver time : 0.000
% 0.19/0.51 % Current number of processed clauses : 383
% 0.19/0.51 % Positive orientable unit clauses : 60
% 0.19/0.51 % Positive unorientable unit clauses: 0
% 0.19/0.51 % Negative unit clauses : 2
% 0.19/0.51 % Non-unit-clauses : 321
% 0.19/0.51 % Current number of unprocessed clauses: 2423
% 0.19/0.51 % ...number of literals in the above : 7433
% 0.19/0.51 % Current number of archived formulas : 0
% 0.19/0.51 % Current number of archived clauses : 44
% 0.19/0.51 % Clause-clause subsumption calls (NU) : 26725
% 0.19/0.51 % Rec. Clause-clause subsumption calls : 21071
% 0.19/0.51 % Non-unit clause-clause subsumptions : 935
% 0.19/0.51 % Unit Clause-clause subsumption calls : 198
% 0.19/0.51 % Rewrite failures with RHS unbound : 0
% 0.19/0.51 % BW rewrite match attempts : 183
% 0.19/0.51 % BW rewrite match successes : 11
% 0.19/0.51 % Condensation attempts : 0
% 0.19/0.51 % Condensation successes : 0
% 0.19/0.51 % Termbank termtop insertions : 77997
% 0.19/0.51 % Search garbage collected termcells : 54
% 0.19/0.51
% 0.19/0.51 % -------------------------------------------------
% 0.19/0.51 % User time : 0.050 s
% 0.19/0.51 % System time : 0.005 s
% 0.19/0.51 % Total time : 0.055 s
% 0.19/0.51 % Maximum resident set size: 3652 pages
% 0.19/0.51
% 0.19/0.51 % -------------------------------------------------
% 0.19/0.51 % User time : 0.230 s
% 0.19/0.51 % System time : 0.026 s
% 0.19/0.51 % Total time : 0.257 s
% 0.19/0.51 % Maximum resident set size: 4864 pages
% 0.19/0.51 % E exiting
%------------------------------------------------------------------------------