%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN648-1 : 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 : n003.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 03:25:48 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.44s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of clauses : 23 ( 10 unt; 4 nHn; 21 RR)
% Number of literals : 66 ( 0 equ; 42 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 8 con; 0-2 aty)
% Number of variables : 41 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p24_30,negated_conjecture,
( ~ p24(f4(f6(c32,c30),X1),X2)
| p24(f4(c30,X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p24_30) ).
cnf(p24_44,negated_conjecture,
( ~ p3(X3,f4(X4,c28))
| ~ p26(c31,X2)
| ~ p2(X4,X2)
| ~ p3(X1,X3)
| p24(f4(f6(c32,X2),f17(f19(f21(f23(c33,X1),X3),X4),X2)),f9(f11(f13(f15(c34,X1),X3),X4),X2))
| p24(X1,c29) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p24_44) ).
cnf(p24_43,negated_conjecture,
( ~ p24(f4(X4,f17(f19(f21(f23(c33,X1),X2),X3),X4)),f9(f11(f13(f15(c34,X1),X2),X3),X4))
| ~ p3(X2,f4(X3,c28))
| ~ p26(c31,X4)
| ~ p2(X3,X4)
| ~ p3(X1,X2)
| p24(X1,c29) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p24_43) ).
cnf(p26_15,negated_conjecture,
p26(c31,c30),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p26_15) ).
cnf(p3_5,negated_conjecture,
p3(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_5) ).
cnf(not_p24_16,negated_conjecture,
~ p24(f4(c27,c28),c29),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p24_16) ).
cnf(p2_14,negated_conjecture,
p2(c27,c30),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_14) ).
cnf(c_0_7,negated_conjecture,
( ~ p24(f4(f6(c32,c30),X1),X2)
| p24(f4(c30,X1),X2) ),
inference(fof_simplification,[status(thm)],[p24_30]) ).
cnf(c_0_8,negated_conjecture,
( ~ p3(X3,f4(X4,c28))
| ~ p26(c31,X2)
| ~ p2(X4,X2)
| ~ p3(X1,X3)
| p24(f4(f6(c32,X2),f17(f19(f21(f23(c33,X1),X3),X4),X2)),f9(f11(f13(f15(c34,X1),X3),X4),X2))
| p24(X1,c29) ),
inference(fof_simplification,[status(thm)],[p24_44]) ).
cnf(c_0_9,negated_conjecture,
( ~ p24(f4(X4,f17(f19(f21(f23(c33,X1),X2),X3),X4)),f9(f11(f13(f15(c34,X1),X2),X3),X4))
| ~ p3(X2,f4(X3,c28))
| ~ p26(c31,X4)
| ~ p2(X3,X4)
| ~ p3(X1,X2)
| p24(X1,c29) ),
inference(fof_simplification,[status(thm)],[p24_43]) ).
cnf(c_0_10,negated_conjecture,
( ~ p24(f4(f6(c32,c30),X1),X2)
| p24(f4(c30,X1),X2) ),
c_0_7 ).
cnf(c_0_11,negated_conjecture,
( ~ p3(X3,f4(X4,c28))
| ~ p26(c31,X2)
| ~ p2(X4,X2)
| ~ p3(X1,X3)
| p24(f4(f6(c32,X2),f17(f19(f21(f23(c33,X1),X3),X4),X2)),f9(f11(f13(f15(c34,X1),X3),X4),X2))
| p24(X1,c29) ),
c_0_8 ).
cnf(c_0_12,negated_conjecture,
p26(c31,c30),
p26_15 ).
cnf(c_0_13,negated_conjecture,
( ~ p24(f4(X4,f17(f19(f21(f23(c33,X1),X2),X3),X4)),f9(f11(f13(f15(c34,X1),X2),X3),X4))
| ~ p3(X2,f4(X3,c28))
| ~ p26(c31,X4)
| ~ p2(X3,X4)
| ~ p3(X1,X2)
| p24(X1,c29) ),
c_0_9 ).
cnf(c_0_14,negated_conjecture,
( ~ p3(X1,X2)
| ~ p3(X2,f4(X3,c28))
| ~ p2(X3,c30)
| p24(X1,c29)
| p24(f4(c30,f17(f19(f21(f23(c33,X1),X2),X3),c30)),f9(f11(f13(f15(c34,X1),X2),X3),c30)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12])]) ).
cnf(c_0_15,negated_conjecture,
( ~ p3(X1,X3)
| ~ p3(X3,f4(X2,c28))
| ~ p2(X2,c30)
| p24(X1,c29) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_12])]) ).
cnf(c_0_16,negated_conjecture,
p3(X1,X1),
p3_5 ).
cnf(c_0_17,negated_conjecture,
~ p24(f4(c27,c28),c29),
inference(fof_simplification,[status(thm)],[not_p24_16]) ).
cnf(c_0_18,negated_conjecture,
( ~ p3(X1,f4(X2,c28))
| ~ p2(X2,c30)
| p24(X1,c29) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,negated_conjecture,
~ p24(f4(c27,c28),c29),
c_0_17 ).
cnf(c_0_20,negated_conjecture,
( ~ p2(X1,c30)
| p24(f4(X1,c28),c29) ),
inference(spm,[status(thm)],[c_0_18,c_0_16]) ).
cnf(c_0_21,negated_conjecture,
p2(c27,c30),
p2_14 ).
cnf(c_0_22,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN648-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n003.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 11:13:02 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 0.10/0.44 % Version: 3.5.1
% 0.10/0.44 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.10/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.44 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.10/0.44 % Starting new_bool_3 with 300s (1) cores
% 0.10/0.44 % Starting new_bool_1 with 300s (1) cores
% 0.10/0.44 % Starting sh5l with 300s (1) cores
% 0.10/0.44 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 4147809 completed with status 0
% 0.10/0.44 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.10/0.44 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.10/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.44 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.10/0.44 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.10/0.44 % No SInE strategy applied
% 0.10/0.44 % Search class: FGUNM-FFMF22-MFFFFFNN
% 0.10/0.44 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.10/0.44 % Starting SubtermCWHack with 136s (1) cores
% 0.10/0.44 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.10/0.44 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.10/0.44 % Starting new_bool_3 with 136s (1) cores
% 0.10/0.44 % Starting new_bool_1 with 136s (1) cores
% 0.10/0.44 % SubtermCWHack with pid 4147813 completed with status 0
% 0.10/0.44 % Result found by SubtermCWHack
% 0.10/0.44 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.10/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.44 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.10/0.44 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.10/0.44 % No SInE strategy applied
% 0.10/0.44 % Search class: FGUNM-FFMF22-MFFFFFNN
% 0.10/0.44 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.10/0.44 % Starting SubtermCWHack with 136s (1) cores
% 0.10/0.44 % Preprocessing time : 0.001 s
% 0.10/0.44
% 0.10/0.44 % Proof found!
% 0.10/0.44 % SZS status Unsatisfiable
% 0.10/0.44 % SZS output start CNFRefutation
% See solution above
% 0.10/0.44 % Parsed axioms : 44
% 0.10/0.44 % Removed by relevancy pruning/SinE : 0
% 0.10/0.44 % Initial clauses : 44
% 0.10/0.44 % Removed in clause preprocessing : 0
% 0.10/0.44 % Initial clauses in saturation : 44
% 0.10/0.44 % Processed clauses : 147
% 0.10/0.44 % ...of these trivial : 0
% 0.10/0.44 % ...subsumed : 33
% 0.10/0.44 % ...remaining for further processing : 114
% 0.10/0.44 % Other redundant clauses eliminated : 0
% 0.10/0.44 % Clauses deleted for lack of memory : 0
% 0.10/0.44 % Backward-subsumed : 1
% 0.10/0.44 % Backward-rewritten : 0
% 0.10/0.44 % Generated clauses : 189
% 0.10/0.44 % ...of the previous two non-redundant : 168
% 0.10/0.44 % ...aggressively subsumed : 0
% 0.10/0.44 % Contextual simplify-reflections : 0
% 0.10/0.44 % Paramodulations : 189
% 0.10/0.44 % Factorizations : 0
% 0.10/0.44 % NegExts : 0
% 0.10/0.44 % Equation resolutions : 0
% 0.10/0.44 % Disequality decompositions : 0
% 0.10/0.44 % Total rewrite steps : 21
% 0.10/0.44 % ...of those cached : 3
% 0.10/0.44 % Propositional unsat checks : 0
% 0.10/0.44 % Propositional check models : 0
% 0.10/0.44 % Propositional check unsatisfiable : 0
% 0.10/0.44 % Propositional clauses : 0
% 0.10/0.44 % Propositional clauses after purity: 0
% 0.10/0.44 % Propositional unsat core size : 0
% 0.10/0.44 % Propositional preprocessing time : 0.000
% 0.10/0.44 % Propositional encoding time : 0.000
% 0.10/0.44 % Propositional solver time : 0.000
% 0.10/0.44 % Success case prop preproc time : 0.000
% 0.10/0.44 % Success case prop encoding time : 0.000
% 0.10/0.44 % Success case prop solver time : 0.000
% 0.10/0.44 % Current number of processed clauses : 113
% 0.10/0.44 % Positive orientable unit clauses : 16
% 0.10/0.44 % Positive unorientable unit clauses: 0
% 0.10/0.44 % Negative unit clauses : 1
% 0.10/0.44 % Non-unit-clauses : 96
% 0.10/0.44 % Current number of unprocessed clauses: 62
% 0.10/0.44 % ...number of literals in the above : 336
% 0.10/0.44 % Current number of archived formulas : 0
% 0.10/0.44 % Current number of archived clauses : 1
% 0.10/0.44 % Clause-clause subsumption calls (NU) : 4489
% 0.10/0.44 % Rec. Clause-clause subsumption calls : 2721
% 0.10/0.44 % Non-unit clause-clause subsumptions : 34
% 0.10/0.44 % Unit Clause-clause subsumption calls : 3
% 0.10/0.44 % Rewrite failures with RHS unbound : 0
% 0.10/0.44 % BW rewrite match attempts : 1
% 0.10/0.44 % BW rewrite match successes : 0
% 0.10/0.44 % Condensation attempts : 0
% 0.10/0.44 % Condensation successes : 0
% 0.10/0.44 % Termbank termtop insertions : 4510
% 0.10/0.44 % Search garbage collected termcells : 165
% 0.10/0.44
% 0.10/0.44 % -------------------------------------------------
% 0.10/0.44 % User time : 0.010 s
% 0.10/0.44 % System time : 0.001 s
% 0.10/0.44 % Total time : 0.011 s
% 0.10/0.44 % Maximum resident set size: 3684 pages
% 0.10/0.44
% 0.10/0.44 % -------------------------------------------------
% 0.10/0.44 % User time : 0.031 s
% 0.10/0.44 % System time : 0.018 s
% 0.10/0.44 % Total time : 0.048 s
% 0.10/0.44 % Maximum resident set size: 4608 pages
% 0.10/0.44 % E exiting
%------------------------------------------------------------------------------