%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN621-1 : 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 : n019.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 03:25:45 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.43s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 19 ( 8 unt; 5 nHn; 14 RR)
% Number of literals : 34 ( 0 equ; 16 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 6 con; 0-4 aty)
% Number of variables : 34 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p21_18,negated_conjecture,
( ~ p21(X3,X2)
| ~ p21(X1,X3)
| p21(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_18) ).
cnf(p21_31,negated_conjecture,
( ~ p22(X1,f14(f11(c25,f12(c23,c26))))
| p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f5(f6(c27,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21_31) ).
cnf(not_p2_7,negated_conjecture,
~ p2(c23,f3(c24)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_7) ).
cnf(p2_34,negated_conjecture,
( p21(f5(f6(X2,f20(X3,X1,X4,X2))),f15(f19(f11(X3,f12(X1,X4)),X2),f16(f3(f17(f18(c24))))))
| p2(X1,f3(c24)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_34) ).
cnf(p2_28,negated_conjecture,
( p22(f20(X2,X1,X3,X4),f14(f11(X2,f12(X1,X3))))
| p2(X1,f3(c24)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_28) ).
cnf(not_p21_32,negated_conjecture,
~ p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f15(f19(f11(c25,f12(c23,c26)),c27),f16(f3(f17(f18(c24)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p21_32) ).
cnf(c_0_6,negated_conjecture,
( ~ p21(X3,X2)
| ~ p21(X1,X3)
| p21(X1,X2) ),
inference(fof_simplification,[status(thm)],[p21_18]) ).
cnf(c_0_7,negated_conjecture,
( ~ p22(X1,f14(f11(c25,f12(c23,c26))))
| p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f5(f6(c27,X1))) ),
inference(fof_simplification,[status(thm)],[p21_31]) ).
cnf(c_0_8,negated_conjecture,
~ p2(c23,f3(c24)),
inference(fof_simplification,[status(thm)],[not_p2_7]) ).
cnf(c_0_9,negated_conjecture,
( ~ p21(X3,X2)
| ~ p21(X1,X3)
| p21(X1,X2) ),
c_0_6 ).
cnf(c_0_10,negated_conjecture,
( p21(f5(f6(X2,f20(X3,X1,X4,X2))),f15(f19(f11(X3,f12(X1,X4)),X2),f16(f3(f17(f18(c24))))))
| p2(X1,f3(c24)) ),
p2_34 ).
cnf(c_0_11,negated_conjecture,
( ~ p22(X1,f14(f11(c25,f12(c23,c26))))
| p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f5(f6(c27,X1))) ),
c_0_7 ).
cnf(c_0_12,negated_conjecture,
( p22(f20(X2,X1,X3,X4),f14(f11(X2,f12(X1,X3))))
| p2(X1,f3(c24)) ),
p2_28 ).
cnf(c_0_13,negated_conjecture,
~ p2(c23,f3(c24)),
c_0_8 ).
cnf(c_0_14,negated_conjecture,
~ p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f15(f19(f11(c25,f12(c23,c26)),c27),f16(f3(f17(f18(c24)))))),
inference(fof_simplification,[status(thm)],[not_p21_32]) ).
cnf(c_0_15,negated_conjecture,
( ~ p21(X1,f5(f6(X5,f20(X2,X3,X4,X5))))
| p2(X3,f3(c24))
| p21(X1,f15(f19(f11(X2,f12(X3,X4)),X5),f16(f3(f17(f18(c24)))))) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_16,negated_conjecture,
p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f5(f6(c27,f20(c25,c23,c26,X1)))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]) ).
cnf(c_0_17,negated_conjecture,
~ p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f15(f19(f11(c25,f12(c23,c26)),c27),f16(f3(f17(f18(c24)))))),
c_0_14 ).
cnf(c_0_18,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]),c_0_13]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN621-1 : 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 : n019.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 11:10:20 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.41 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
% 0.09/0.43 % Version: 3.5.1
% 0.09/0.43 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.09/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.43 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.09/0.43 % Starting new_bool_3 with 300s (1) cores
% 0.09/0.43 % Starting new_bool_1 with 300s (1) cores
% 0.09/0.43 % Starting sh5l with 300s (1) cores
% 0.09/0.43 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2417981 completed with status 0
% 0.09/0.43 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.09/0.43 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.09/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.43 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.09/0.43 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.09/0.43 % No SInE strategy applied
% 0.09/0.43 % Search class: FGUNM-FFMF31-MFFFFFNN
% 0.09/0.43 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.09/0.43 % Starting SubtermCWHack with 136s (1) cores
% 0.09/0.43 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.09/0.43 % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 0.09/0.43 % Starting new_bool_3 with 136s (1) cores
% 0.09/0.43 % Starting new_bool_1 with 136s (1) cores
% 0.09/0.43 % new_bool_1 with pid 2417989 completed with status 0
% 0.09/0.43 % Result found by new_bool_1
% 0.09/0.43 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.09/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.43 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.09/0.43 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.09/0.43 % No SInE strategy applied
% 0.09/0.43 % Search class: FGUNM-FFMF31-MFFFFFNN
% 0.09/0.43 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.09/0.43 % Starting SubtermCWHack with 136s (1) cores
% 0.09/0.43 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.09/0.43 % Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 136s (1) cores
% 0.09/0.43 % Starting new_bool_3 with 136s (1) cores
% 0.09/0.43 % Starting new_bool_1 with 136s (1) cores
% 0.09/0.43 % Preprocessing time : 0.001 s
% 0.09/0.43 % Presaturation interreduction done
% 0.09/0.43
% 0.09/0.43 % Proof found!
% 0.09/0.43 % SZS status Unsatisfiable
% 0.09/0.43 % SZS output start CNFRefutation
% See solution above
% 0.09/0.43 % Parsed axioms : 34
% 0.09/0.43 % Removed by relevancy pruning/SinE : 0
% 0.09/0.43 % Initial clauses : 34
% 0.09/0.43 % Removed in clause preprocessing : 0
% 0.09/0.43 % Initial clauses in saturation : 34
% 0.09/0.43 % Processed clauses : 92
% 0.09/0.43 % ...of these trivial : 0
% 0.09/0.43 % ...subsumed : 1
% 0.09/0.43 % ...remaining for further processing : 91
% 0.09/0.43 % Other redundant clauses eliminated : 0
% 0.09/0.43 % Clauses deleted for lack of memory : 0
% 0.09/0.43 % Backward-subsumed : 0
% 0.09/0.43 % Backward-rewritten : 0
% 0.09/0.43 % Generated clauses : 47
% 0.09/0.43 % ...of the previous two non-redundant : 26
% 0.09/0.43 % ...aggressively subsumed : 0
% 0.09/0.43 % Contextual simplify-reflections : 0
% 0.09/0.43 % Paramodulations : 47
% 0.09/0.43 % Factorizations : 0
% 0.09/0.43 % NegExts : 0
% 0.09/0.43 % Equation resolutions : 0
% 0.09/0.43 % Disequality decompositions : 0
% 0.09/0.43 % Total rewrite steps : 20
% 0.09/0.43 % ...of those cached : 0
% 0.09/0.43 % Propositional unsat checks : 0
% 0.09/0.43 % Propositional check models : 0
% 0.09/0.43 % Propositional check unsatisfiable : 0
% 0.09/0.43 % Propositional clauses : 0
% 0.09/0.43 % Propositional clauses after purity: 0
% 0.09/0.43 % Propositional unsat core size : 0
% 0.09/0.43 % Propositional preprocessing time : 0.000
% 0.09/0.43 % Propositional encoding time : 0.000
% 0.09/0.43 % Propositional solver time : 0.000
% 0.09/0.43 % Success case prop preproc time : 0.000
% 0.09/0.43 % Success case prop encoding time : 0.000
% 0.09/0.43 % Success case prop solver time : 0.000
% 0.09/0.43 % Current number of processed clauses : 57
% 0.09/0.43 % Positive orientable unit clauses : 7
% 0.09/0.43 % Positive unorientable unit clauses: 0
% 0.09/0.43 % Negative unit clauses : 2
% 0.09/0.43 % Non-unit-clauses : 48
% 0.09/0.43 % Current number of unprocessed clauses: 2
% 0.09/0.43 % ...number of literals in the above : 6
% 0.09/0.43 % Current number of archived formulas : 0
% 0.09/0.43 % Current number of archived clauses : 34
% 0.09/0.43 % Clause-clause subsumption calls (NU) : 853
% 0.09/0.43 % Rec. Clause-clause subsumption calls : 649
% 0.09/0.43 % Non-unit clause-clause subsumptions : 1
% 0.09/0.43 % Unit Clause-clause subsumption calls : 0
% 0.09/0.43 % Rewrite failures with RHS unbound : 0
% 0.09/0.43 % BW rewrite match attempts : 4
% 0.09/0.43 % BW rewrite match successes : 0
% 0.09/0.43 % Condensation attempts : 0
% 0.09/0.43 % Condensation successes : 0
% 0.09/0.43 % Termbank termtop insertions : 2518
% 0.09/0.43 % Search garbage collected termcells : 118
% 0.09/0.43
% 0.09/0.43 % -------------------------------------------------
% 0.09/0.43 % User time : 0.005 s
% 0.09/0.43 % System time : 0.002 s
% 0.09/0.43 % Total time : 0.007 s
% 0.09/0.43 % Maximum resident set size: 3676 pages
% 0.09/0.43
% 0.09/0.43 % -------------------------------------------------
% 0.09/0.43 % User time : 0.023 s
% 0.09/0.43 % System time : 0.015 s
% 0.09/0.43 % Total time : 0.038 s
% 0.09/0.43 % Maximum resident set size: 4608 pages
% 0.09/0.43 % E exiting
%------------------------------------------------------------------------------