%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN632-1 : 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 03:25:46 PM UTC 2026
% Result : Unsatisfiable 0.27s 0.54s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of clauses : 42 ( 14 unt; 0 nHn; 32 RR)
% Number of literals : 83 ( 0 equ; 44 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 8 con; 0-2 aty)
% Number of variables : 95 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p21_38,negated_conjecture,
( ~ p21(f5(f7(f10(c24,f12(c28,X1)),X2),X3),X4)
| p21(f5(f7(f10(c24,X1),X2),X3),f14(f16(f18(f20(c29,X1),X3),X2),X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21_38) ).
cnf(p3_17,negated_conjecture,
( ~ p3(X3,X2)
| ~ p3(X3,X1)
| p3(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_17) ).
cnf(p3_33,negated_conjecture,
( ~ p21(f5(f7(f10(c24,f12(c25,c26)),X3),X1),X2)
| p3(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_33) ).
cnf(p21_24,negated_conjecture,
p21(f5(f7(f10(c24,f12(c28,f12(c25,c26))),c22),c23),c27),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21_24) ).
cnf(p4_31,negated_conjecture,
( ~ p3(X2,X4)
| ~ p2(X1,X3)
| p4(f5(X1,X2),f5(X3,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_31) ).
cnf(p3_6,negated_conjecture,
p3(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_6) ).
cnf(p21_23,negated_conjecture,
( ~ p21(X4,X3)
| ~ p4(X4,X1)
| ~ p3(X3,X2)
| p21(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21_23) ).
cnf(p2_7,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_7) ).
cnf(p21_36,negated_conjecture,
( ~ p21(f5(f7(f10(c24,f12(c28,X2)),X1),X3),X4)
| p21(f5(X1,f14(f16(f18(f20(c29,X2),X3),X1),X4)),X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21_36) ).
cnf(p21_34,negated_conjecture,
( ~ p3(X2,X3)
| p21(f5(f7(f10(c24,f12(c25,c26)),X1),X2),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21_34) ).
cnf(not_p21_35,negated_conjecture,
( ~ p21(f5(f7(f10(c24,f12(c25,c26)),c22),X1),c27)
| ~ p21(f5(c22,c23),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p21_35) ).
cnf(c_0_11,negated_conjecture,
( ~ p21(f5(f7(f10(c24,f12(c28,X1)),X2),X3),X4)
| p21(f5(f7(f10(c24,X1),X2),X3),f14(f16(f18(f20(c29,X1),X3),X2),X4)) ),
inference(fof_simplification,[status(thm)],[p21_38]) ).
cnf(c_0_12,negated_conjecture,
( ~ p3(X3,X2)
| ~ p3(X3,X1)
| p3(X1,X2) ),
inference(fof_simplification,[status(thm)],[p3_17]) ).
cnf(c_0_13,negated_conjecture,
( ~ p21(f5(f7(f10(c24,f12(c25,c26)),X3),X1),X2)
| p3(X1,X2) ),
inference(fof_simplification,[status(thm)],[p3_33]) ).
cnf(c_0_14,negated_conjecture,
( ~ p21(f5(f7(f10(c24,f12(c28,X1)),X2),X3),X4)
| p21(f5(f7(f10(c24,X1),X2),X3),f14(f16(f18(f20(c29,X1),X3),X2),X4)) ),
c_0_11 ).
cnf(c_0_15,negated_conjecture,
p21(f5(f7(f10(c24,f12(c28,f12(c25,c26))),c22),c23),c27),
p21_24 ).
cnf(c_0_16,negated_conjecture,
( ~ p3(X2,X4)
| ~ p2(X1,X3)
| p4(f5(X1,X2),f5(X3,X4)) ),
inference(fof_simplification,[status(thm)],[p4_31]) ).
cnf(c_0_17,negated_conjecture,
( ~ p3(X3,X2)
| ~ p3(X3,X1)
| p3(X1,X2) ),
c_0_12 ).
cnf(c_0_18,negated_conjecture,
p3(X1,X1),
p3_6 ).
cnf(c_0_19,negated_conjecture,
( ~ p21(f5(f7(f10(c24,f12(c25,c26)),X3),X1),X2)
| p3(X1,X2) ),
c_0_13 ).
cnf(c_0_20,negated_conjecture,
p21(f5(f7(f10(c24,f12(c25,c26)),c22),c23),f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27)),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_21,negated_conjecture,
( ~ p21(X4,X3)
| ~ p4(X4,X1)
| ~ p3(X3,X2)
| p21(X1,X2) ),
inference(fof_simplification,[status(thm)],[p21_23]) ).
cnf(c_0_22,negated_conjecture,
( ~ p3(X2,X4)
| ~ p2(X1,X3)
| p4(f5(X1,X2),f5(X3,X4)) ),
c_0_16 ).
cnf(c_0_23,negated_conjecture,
p2(X1,X1),
p2_7 ).
cnf(c_0_24,negated_conjecture,
( ~ p3(X2,X1)
| p3(X1,X2) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_25,negated_conjecture,
p3(c23,f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27)),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_26,negated_conjecture,
( ~ p21(X4,X3)
| ~ p4(X4,X1)
| ~ p3(X3,X2)
| p21(X1,X2) ),
c_0_21 ).
cnf(c_0_27,negated_conjecture,
( ~ p3(X2,X3)
| p4(f5(X1,X2),f5(X1,X3)) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_28,negated_conjecture,
p3(f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27),c23),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_29,negated_conjecture,
( ~ p21(f5(f7(f10(c24,f12(c28,X2)),X1),X3),X4)
| p21(f5(X1,f14(f16(f18(f20(c29,X2),X3),X1),X4)),X4) ),
inference(fof_simplification,[status(thm)],[p21_36]) ).
cnf(c_0_30,negated_conjecture,
( ~ p4(X3,X1)
| ~ p21(X3,X2)
| p21(X1,X2) ),
inference(spm,[status(thm)],[c_0_26,c_0_18]) ).
cnf(c_0_31,negated_conjecture,
p4(f5(X1,f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27)),f5(X1,c23)),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_32,negated_conjecture,
( ~ p21(f5(f7(f10(c24,f12(c28,X2)),X1),X3),X4)
| p21(f5(X1,f14(f16(f18(f20(c29,X2),X3),X1),X4)),X4) ),
c_0_29 ).
cnf(c_0_33,negated_conjecture,
( ~ p3(X2,X3)
| p21(f5(f7(f10(c24,f12(c25,c26)),X1),X2),X3) ),
inference(fof_simplification,[status(thm)],[p21_34]) ).
cnf(c_0_34,negated_conjecture,
( ~ p21(f5(f7(f10(c24,f12(c25,c26)),c22),X1),c27)
| ~ p21(f5(c22,c23),X1) ),
inference(fof_simplification,[status(thm)],[not_p21_35]) ).
cnf(c_0_35,negated_conjecture,
( ~ p21(f5(X1,f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27)),X2)
| p21(f5(X1,c23),X2) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_36,negated_conjecture,
p21(f5(c22,f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27)),c27),
inference(spm,[status(thm)],[c_0_32,c_0_15]) ).
cnf(c_0_37,negated_conjecture,
( ~ p3(X2,X3)
| p21(f5(f7(f10(c24,f12(c25,c26)),X1),X2),X3) ),
c_0_33 ).
cnf(c_0_38,negated_conjecture,
( ~ p21(f5(f7(f10(c24,f12(c25,c26)),c22),X1),c27)
| ~ p21(f5(c22,c23),X1) ),
c_0_34 ).
cnf(c_0_39,negated_conjecture,
p21(f5(c22,c23),c27),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_40,negated_conjecture,
p21(f5(f7(f10(c24,f12(c25,c26)),X1),X2),X2),
inference(spm,[status(thm)],[c_0_37,c_0_18]) ).
cnf(c_0_41,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN632-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.42 % Computer : n005.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.43 % DateTime : Mon Sep 21 11:10:32 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.50 Running first-order theorem proving
% 0.17/0.50 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
% 0.27/0.54 % Version: 3.5.1
% 0.27/0.54 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.27/0.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.54 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.27/0.54 % Starting new_bool_3 with 300s (1) cores
% 0.27/0.54 % Starting new_bool_1 with 300s (1) cores
% 0.27/0.54 % Starting sh5l with 300s (1) cores
% 0.27/0.54 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 3320090 completed with status 0
% 0.27/0.54 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.27/0.54 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.27/0.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.54 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.27/0.54 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.27/0.54 % No SInE strategy applied
% 0.27/0.54 % Search class: FHHNM-FFMF22-MFFFFFNN
% 0.27/0.54 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.27/0.54 % Starting SubtermCWHack with 136s (1) cores
% 0.27/0.54 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.27/0.54 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.27/0.54 % Starting new_bool_3 with 136s (1) cores
% 0.27/0.54 % Starting new_bool_1 with 136s (1) cores
% 0.27/0.54 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 3320096 completed with status 0
% 0.27/0.54 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.27/0.54 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.27/0.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.54 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.27/0.54 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.27/0.54 % No SInE strategy applied
% 0.27/0.54 % Search class: FHHNM-FFMF22-MFFFFFNN
% 0.27/0.54 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.27/0.54 % Starting SubtermCWHack with 136s (1) cores
% 0.27/0.54 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.27/0.54 % Preprocessing time : 0.002 s
% 0.27/0.54 % Presaturation interreduction done
% 0.27/0.54
% 0.27/0.54 % Proof found!
% 0.27/0.54 % SZS status Unsatisfiable
% 0.27/0.54 % SZS output start CNFRefutation
% See solution above
% 0.27/0.54 % Parsed axioms : 38
% 0.27/0.54 % Removed by relevancy pruning/SinE : 0
% 0.27/0.54 % Initial clauses : 38
% 0.27/0.54 % Removed in clause preprocessing : 0
% 0.27/0.54 % Initial clauses in saturation : 38
% 0.27/0.54 % Processed clauses : 120
% 0.27/0.54 % ...of these trivial : 0
% 0.27/0.54 % ...subsumed : 0
% 0.27/0.54 % ...remaining for further processing : 120
% 0.27/0.54 % Other redundant clauses eliminated : 0
% 0.27/0.54 % Clauses deleted for lack of memory : 0
% 0.27/0.54 % Backward-subsumed : 0
% 0.27/0.54 % Backward-rewritten : 1
% 0.27/0.54 % Generated clauses : 115
% 0.27/0.54 % ...of the previous two non-redundant : 72
% 0.27/0.54 % ...aggressively subsumed : 0
% 0.27/0.54 % Contextual simplify-reflections : 0
% 0.27/0.54 % Paramodulations : 115
% 0.27/0.54 % Factorizations : 0
% 0.27/0.54 % NegExts : 0
% 0.27/0.54 % Equation resolutions : 0
% 0.27/0.54 % Disequality decompositions : 0
% 0.27/0.54 % Total rewrite steps : 43
% 0.27/0.54 % ...of those cached : 9
% 0.27/0.54 % Propositional unsat checks : 0
% 0.27/0.54 % Propositional check models : 0
% 0.27/0.54 % Propositional check unsatisfiable : 0
% 0.27/0.54 % Propositional clauses : 0
% 0.27/0.54 % Propositional clauses after purity: 0
% 0.27/0.54 % Propositional unsat core size : 0
% 0.27/0.54 % Propositional preprocessing time : 0.000
% 0.27/0.54 % Propositional encoding time : 0.000
% 0.27/0.54 % Propositional solver time : 0.000
% 0.27/0.54 % Success case prop preproc time : 0.000
% 0.27/0.54 % Success case prop encoding time : 0.000
% 0.27/0.54 % Success case prop solver time : 0.000
% 0.27/0.54 % Current number of processed clauses : 81
% 0.27/0.54 % Positive orientable unit clauses : 24
% 0.27/0.54 % Positive unorientable unit clauses: 0
% 0.27/0.54 % Negative unit clauses : 0
% 0.27/0.54 % Non-unit-clauses : 57
% 0.27/0.54 % Current number of unprocessed clauses: 27
% 0.27/0.54 % ...number of literals in the above : 42
% 0.27/0.54 % Current number of archived formulas : 0
% 0.27/0.54 % Current number of archived clauses : 39
% 0.27/0.54 % Clause-clause subsumption calls (NU) : 352
% 0.27/0.54 % Rec. Clause-clause subsumption calls : 345
% 0.27/0.54 % Non-unit clause-clause subsumptions : 0
% 0.27/0.54 % Unit Clause-clause subsumption calls : 13
% 0.27/0.54 % Rewrite failures with RHS unbound : 0
% 0.27/0.54 % BW rewrite match attempts : 10
% 0.27/0.54 % BW rewrite match successes : 1
% 0.27/0.54 % Condensation attempts : 0
% 0.27/0.54 % Condensation successes : 0
% 0.27/0.54 % Termbank termtop insertions : 4124
% 0.27/0.54 % Search garbage collected termcells : 133
% 0.27/0.54
% 0.27/0.54 % -------------------------------------------------
% 0.27/0.54 % User time : 0.010 s
% 0.27/0.54 % System time : 0.010 s
% 0.27/0.54 % Total time : 0.020 s
% 0.27/0.54 % Maximum resident set size: 3624 pages
% 0.27/0.54
% 0.27/0.54 % -------------------------------------------------
% 0.27/0.54 % User time : 0.071 s
% 0.27/0.54 % System time : 0.024 s
% 0.27/0.54 % Total time : 0.095 s
% 0.27/0.54 % Maximum resident set size: 4608 pages
% 0.27/0.54 % E exiting
%------------------------------------------------------------------------------