%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SYN623-1 : 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 : n012.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 03:35:23 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.39s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 13
% Syntax : Number of clauses : 47 ( 22 unt; 7 nHn; 43 RR)
% Number of literals : 106 ( 0 equ; 55 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 11 con; 0-2 aty)
% Number of variables : 70 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p3_20,negated_conjecture,
( ~ p3(X3,X2)
| ~ p3(X3,X1)
| p3(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_20) ).
cnf(p16_35,negated_conjecture,
( ~ p16(f4(c19,X2),X3)
| ~ p18(c26,X4)
| ~ p2(X1,X4)
| p16(f4(f6(c27,X4),f13(f15(c28,X1),X4)),f9(f11(c29,X1),X4))
| p16(f4(X1,X2),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_35) ).
cnf(p3_5,negated_conjecture,
p3(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_5) ).
cnf(p18_10,negated_conjecture,
p18(c26,c25),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_10) ).
cnf(p3_14,negated_conjecture,
p3(c23,f4(c24,c20)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_14) ).
cnf(p3_11,negated_conjecture,
p3(c22,c23),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_11) ).
cnf(p16_34,negated_conjecture,
( ~ p16(f4(X4,f13(f15(c28,X1),X4)),f9(f11(c29,X1),X4))
| ~ p16(f4(c19,X2),X3)
| ~ p18(c26,X4)
| ~ p2(X1,X4)
| p16(f4(X1,X2),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_34) ).
cnf(p16_15,negated_conjecture,
p16(f4(c19,c20),c21),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_15) ).
cnf(p16_26,negated_conjecture,
( ~ p16(X3,X4)
| ~ p8(X4,X2)
| ~ p3(X3,X1)
| p16(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_26) ).
cnf(p16_25,negated_conjecture,
( ~ p16(f4(f6(c27,c25),X1),X2)
| p16(f4(c25,X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_25) ).
cnf(p2_12,negated_conjecture,
p2(c24,c25),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_12) ).
cnf(p8_2,negated_conjecture,
p8(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_2) ).
cnf(not_p16_13,negated_conjecture,
~ p16(c22,c21),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p16_13) ).
cnf(c_0_13,negated_conjecture,
( ~ p3(X3,X2)
| ~ p3(X3,X1)
| p3(X1,X2) ),
inference(fof_simplification,[status(thm)],[p3_20]) ).
cnf(c_0_14,negated_conjecture,
( ~ p16(f4(c19,X2),X3)
| ~ p18(c26,X4)
| ~ p2(X1,X4)
| p16(f4(f6(c27,X4),f13(f15(c28,X1),X4)),f9(f11(c29,X1),X4))
| p16(f4(X1,X2),X3) ),
inference(fof_simplification,[status(thm)],[p16_35]) ).
cnf(c_0_15,negated_conjecture,
( ~ p3(X3,X2)
| ~ p3(X3,X1)
| p3(X1,X2) ),
c_0_13 ).
cnf(c_0_16,negated_conjecture,
p3(X1,X1),
p3_5 ).
cnf(c_0_17,negated_conjecture,
( ~ p16(f4(c19,X2),X3)
| ~ p18(c26,X4)
| ~ p2(X1,X4)
| p16(f4(f6(c27,X4),f13(f15(c28,X1),X4)),f9(f11(c29,X1),X4))
| p16(f4(X1,X2),X3) ),
c_0_14 ).
cnf(c_0_18,negated_conjecture,
p18(c26,c25),
p18_10 ).
cnf(c_0_19,negated_conjecture,
p3(c23,f4(c24,c20)),
p3_14 ).
cnf(c_0_20,negated_conjecture,
( ~ p3(X2,X1)
| p3(X1,X2) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_21,negated_conjecture,
p3(c22,c23),
p3_11 ).
cnf(c_0_22,negated_conjecture,
( ~ p16(f4(X4,f13(f15(c28,X1),X4)),f9(f11(c29,X1),X4))
| ~ p16(f4(c19,X2),X3)
| ~ p18(c26,X4)
| ~ p2(X1,X4)
| p16(f4(X1,X2),X3) ),
inference(fof_simplification,[status(thm)],[p16_34]) ).
cnf(c_0_23,negated_conjecture,
( ~ p2(X1,c25)
| ~ p16(f4(c19,X2),X3)
| p16(f4(X1,X2),X3)
| p16(f4(f6(c27,c25),f13(f15(c28,X1),c25)),f9(f11(c29,X1),c25)) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_24,negated_conjecture,
p16(f4(c19,c20),c21),
p16_15 ).
cnf(c_0_25,negated_conjecture,
( ~ p16(X3,X4)
| ~ p8(X4,X2)
| ~ p3(X3,X1)
| p16(X1,X2) ),
inference(fof_simplification,[status(thm)],[p16_26]) ).
cnf(c_0_26,negated_conjecture,
( ~ p3(c23,X1)
| p3(X1,f4(c24,c20)) ),
inference(spm,[status(thm)],[c_0_15,c_0_19]) ).
cnf(c_0_27,negated_conjecture,
p3(c23,c22),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_28,negated_conjecture,
( ~ p16(f4(X4,f13(f15(c28,X1),X4)),f9(f11(c29,X1),X4))
| ~ p16(f4(c19,X2),X3)
| ~ p18(c26,X4)
| ~ p2(X1,X4)
| p16(f4(X1,X2),X3) ),
c_0_22 ).
cnf(c_0_29,negated_conjecture,
( ~ p16(f4(f6(c27,c25),X1),X2)
| p16(f4(c25,X1),X2) ),
inference(fof_simplification,[status(thm)],[p16_25]) ).
cnf(c_0_30,negated_conjecture,
( ~ p2(X1,c25)
| p16(f4(X1,c20),c21)
| p16(f4(f6(c27,c25),f13(f15(c28,X1),c25)),f9(f11(c29,X1),c25)) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_31,negated_conjecture,
p2(c24,c25),
p2_12 ).
cnf(c_0_32,negated_conjecture,
( ~ p16(X3,X4)
| ~ p8(X4,X2)
| ~ p3(X3,X1)
| p16(X1,X2) ),
c_0_25 ).
cnf(c_0_33,negated_conjecture,
p8(X1,X1),
p8_2 ).
cnf(c_0_34,negated_conjecture,
p3(c22,f4(c24,c20)),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_35,negated_conjecture,
( ~ p2(X1,c25)
| ~ p16(f4(c19,X2),X3)
| ~ p16(f4(c25,f13(f15(c28,X1),c25)),f9(f11(c29,X1),c25))
| p16(f4(X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_28,c_0_18]) ).
cnf(c_0_36,negated_conjecture,
( ~ p16(f4(f6(c27,c25),X1),X2)
| p16(f4(c25,X1),X2) ),
c_0_29 ).
cnf(c_0_37,negated_conjecture,
( p16(f4(c24,c20),c21)
| p16(f4(f6(c27,c25),f13(f15(c28,c24),c25)),f9(f11(c29,c24),c25)) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_38,negated_conjecture,
( ~ p3(X3,X1)
| ~ p16(X3,X2)
| p16(X1,X2) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_39,negated_conjecture,
p3(f4(c24,c20),c22),
inference(spm,[status(thm)],[c_0_20,c_0_34]) ).
cnf(c_0_40,negated_conjecture,
( ~ p2(X1,c25)
| ~ p16(f4(c25,f13(f15(c28,X1),c25)),f9(f11(c29,X1),c25))
| p16(f4(X1,c20),c21) ),
inference(spm,[status(thm)],[c_0_35,c_0_24]) ).
cnf(c_0_41,negated_conjecture,
( p16(f4(c24,c20),c21)
| p16(f4(c25,f13(f15(c28,c24),c25)),f9(f11(c29,c24),c25)) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_42,negated_conjecture,
~ p16(c22,c21),
inference(fof_simplification,[status(thm)],[not_p16_13]) ).
cnf(c_0_43,negated_conjecture,
( ~ p16(f4(c24,c20),X1)
| p16(c22,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_44,negated_conjecture,
p16(f4(c24,c20),c21),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_31])]) ).
cnf(c_0_45,negated_conjecture,
~ p16(c22,c21),
c_0_42 ).
cnf(c_0_46,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN623-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.02 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Mon Sep 21 11:09:51 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/0.32 Running first-order theorem proving
% 0.04/0.32 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
% 0.08/0.39 % Version: 3.5.1
% 0.08/0.39 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.08/0.39 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.39 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.08/0.39 % Starting new_bool_3 with 300s (1) cores
% 0.08/0.39 % Starting new_bool_1 with 300s (1) cores
% 0.08/0.39 % Starting sh5l with 300s (1) cores
% 0.08/0.39 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 2233827 completed with status 0
% 0.08/0.39 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.08/0.39 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.08/0.39 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.39 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.08/0.39 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.08/0.39 % No SInE strategy applied
% 0.08/0.39 % Search class: FGUNM-FFMS22-MFFFFFNN
% 0.08/0.39 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.08/0.39 % Starting SubtermCWHack with 136s (1) cores
% 0.08/0.39 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.08/0.39 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.08/0.39 % Starting new_bool_3 with 136s (1) cores
% 0.08/0.39 % Starting new_bool_1 with 136s (1) cores
% 0.08/0.39 % new_bool_3 with pid 2233835 completed with status 0
% 0.08/0.39 % Result found by new_bool_3
% 0.08/0.39 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.08/0.39 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.39 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.08/0.39 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.08/0.39 % No SInE strategy applied
% 0.08/0.39 % Search class: FGUNM-FFMS22-MFFFFFNN
% 0.08/0.39 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.08/0.39 % Starting SubtermCWHack with 136s (1) cores
% 0.08/0.39 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.08/0.39 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.08/0.39 % Starting new_bool_3 with 136s (1) cores
% 0.08/0.39 % Preprocessing time : 0.001 s
% 0.08/0.39 % Presaturation interreduction done
% 0.08/0.39
% 0.08/0.39 % Proof found!
% 0.08/0.39 % SZS status Unsatisfiable
% 0.08/0.39 % SZS output start CNFRefutation
% See solution above
% 0.08/0.39 % Parsed axioms : 35
% 0.08/0.39 % Removed by relevancy pruning/SinE : 0
% 0.08/0.39 % Initial clauses : 35
% 0.08/0.39 % Removed in clause preprocessing : 0
% 0.08/0.39 % Initial clauses in saturation : 35
% 0.08/0.39 % Processed clauses : 896
% 0.08/0.39 % ...of these trivial : 186
% 0.08/0.39 % ...subsumed : 0
% 0.08/0.39 % ...remaining for further processing : 710
% 0.08/0.39 % Other redundant clauses eliminated : 0
% 0.08/0.39 % Clauses deleted for lack of memory : 0
% 0.08/0.39 % Backward-subsumed : 29
% 0.08/0.39 % Backward-rewritten : 59
% 0.08/0.39 % Generated clauses : 5339
% 0.08/0.39 % ...of the previous two non-redundant : 3785
% 0.08/0.39 % ...aggressively subsumed : 0
% 0.08/0.39 % Contextual simplify-reflections : 0
% 0.08/0.39 % Paramodulations : 5339
% 0.08/0.39 % Factorizations : 0
% 0.08/0.39 % NegExts : 0
% 0.08/0.39 % Equation resolutions : 0
% 0.08/0.39 % Disequality decompositions : 0
% 0.08/0.39 % Total rewrite steps : 1797
% 0.08/0.39 % ...of those cached : 1349
% 0.08/0.39 % Propositional unsat checks : 0
% 0.08/0.39 % Propositional check models : 0
% 0.08/0.39 % Propositional check unsatisfiable : 0
% 0.08/0.39 % Propositional clauses : 0
% 0.08/0.39 % Propositional clauses after purity: 0
% 0.08/0.39 % Propositional unsat core size : 0
% 0.08/0.39 % Propositional preprocessing time : 0.000
% 0.08/0.39 % Propositional encoding time : 0.000
% 0.08/0.39 % Propositional solver time : 0.000
% 0.08/0.39 % Success case prop preproc time : 0.000
% 0.08/0.39 % Success case prop encoding time : 0.000
% 0.08/0.39 % Success case prop solver time : 0.000
% 0.08/0.39 % Current number of processed clauses : 587
% 0.08/0.39 % Positive orientable unit clauses : 205
% 0.08/0.39 % Positive unorientable unit clauses: 0
% 0.08/0.39 % Negative unit clauses : 1
% 0.08/0.39 % Non-unit-clauses : 381
% 0.08/0.39 % Current number of unprocessed clauses: 2852
% 0.08/0.39 % ...number of literals in the above : 5440
% 0.08/0.39 % Current number of archived formulas : 0
% 0.08/0.39 % Current number of archived clauses : 123
% 0.08/0.39 % Clause-clause subsumption calls (NU) : 11067
% 0.08/0.39 % Rec. Clause-clause subsumption calls : 10027
% 0.08/0.39 % Non-unit clause-clause subsumptions : 29
% 0.08/0.39 % Unit Clause-clause subsumption calls : 1289
% 0.08/0.39 % Rewrite failures with RHS unbound : 0
% 0.08/0.39 % BW rewrite match attempts : 2205
% 0.08/0.39 % BW rewrite match successes : 58
% 0.08/0.39 % Condensation attempts : 0
% 0.08/0.39 % Condensation successes : 0
% 0.08/0.39 % Termbank termtop insertions : 101543
% 0.08/0.39 % Search garbage collected termcells : 116
% 0.08/0.39
% 0.08/0.39 % -------------------------------------------------
% 0.08/0.39 % User time : 0.048 s
% 0.08/0.39 % System time : 0.006 s
% 0.08/0.39 % Total time : 0.054 s
% 0.08/0.39 % Maximum resident set size: 3620 pages
% 0.08/0.39
% 0.08/0.39 % -------------------------------------------------
% 0.08/0.39 % User time : 0.198 s
% 0.08/0.39 % System time : 0.022 s
% 0.08/0.39 % Total time : 0.221 s
% 0.08/0.39 % Maximum resident set size: 4608 pages
% 0.08/0.39 % E exiting
%------------------------------------------------------------------------------