%------------------------------------------------------------------------------
% File : E---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 : n006.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 0.14s 5.52s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 13
% Syntax : Number of clauses : 45 ( 21 unt; 6 nHn; 41 RR)
% Number of literals : 103 ( 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(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_20,negated_conjecture,
( ~ p3(X3,X2)
| ~ p3(X3,X1)
| p3(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_20) ).
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(p16_15,negated_conjecture,
p16(f4(c19,c20),c21),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_15) ).
cnf(p3_5,negated_conjecture,
p3(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_5) ).
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(p18_10,negated_conjecture,
p18(c26,c25),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_10) ).
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(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(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,
( ~ 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_14,negated_conjecture,
( ~ p3(X3,X2)
| ~ p3(X3,X1)
| p3(X1,X2) ),
inference(fof_simplification,[status(thm)],[p3_20]) ).
cnf(c_0_15,negated_conjecture,
( ~ p16(f4(f6(c27,c25),X1),X2)
| p16(f4(c25,X1),X2) ),
inference(fof_simplification,[status(thm)],[p16_25]) ).
cnf(c_0_16,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_13 ).
cnf(c_0_17,negated_conjecture,
p16(f4(c19,c20),c21),
p16_15 ).
cnf(c_0_18,negated_conjecture,
( ~ p3(X3,X2)
| ~ p3(X3,X1)
| p3(X1,X2) ),
c_0_14 ).
cnf(c_0_19,negated_conjecture,
p3(X1,X1),
p3_5 ).
cnf(c_0_20,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_21,negated_conjecture,
( ~ p16(f4(f6(c27,c25),X1),X2)
| p16(f4(c25,X1),X2) ),
c_0_15 ).
cnf(c_0_22,negated_conjecture,
( ~ p2(X2,X1)
| ~ p18(c26,X1)
| p16(f4(X2,c20),c21)
| p16(f4(f6(c27,X1),f13(f15(c28,X2),X1)),f9(f11(c29,X2),X1)) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_23,negated_conjecture,
p18(c26,c25),
p18_10 ).
cnf(c_0_24,negated_conjecture,
( ~ p16(X3,X4)
| ~ p8(X4,X2)
| ~ p3(X3,X1)
| p16(X1,X2) ),
inference(fof_simplification,[status(thm)],[p16_26]) ).
cnf(c_0_25,negated_conjecture,
( ~ p3(X2,X1)
| p3(X1,X2) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_26,negated_conjecture,
p3(c23,f4(c24,c20)),
p3_14 ).
cnf(c_0_27,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_20 ).
cnf(c_0_28,negated_conjecture,
( ~ p2(X1,c25)
| p16(f4(X1,c20),c21)
| p16(f4(c25,f13(f15(c28,X1),c25)),f9(f11(c29,X1),c25)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23])]) ).
cnf(c_0_29,negated_conjecture,
p3(c22,c23),
p3_11 ).
cnf(c_0_30,negated_conjecture,
( ~ p16(X3,X4)
| ~ p8(X4,X2)
| ~ p3(X3,X1)
| p16(X1,X2) ),
c_0_24 ).
cnf(c_0_31,negated_conjecture,
p3(f4(c24,c20),c23),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_32,negated_conjecture,
( ~ p2(X1,c25)
| ~ p16(f4(c19,X2),X3)
| p16(f4(X1,X2),X3)
| p16(f4(X1,c20),c21) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_23])]) ).
cnf(c_0_33,negated_conjecture,
p3(c23,c22),
inference(spm,[status(thm)],[c_0_25,c_0_29]) ).
cnf(c_0_34,negated_conjecture,
( ~ p8(X2,X1)
| ~ p16(f4(c24,c20),X2)
| p16(c23,X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_35,negated_conjecture,
( ~ p2(X1,c25)
| p16(f4(X1,c20),c21) ),
inference(spm,[status(thm)],[c_0_32,c_0_17]) ).
cnf(c_0_36,negated_conjecture,
p2(c24,c25),
p2_12 ).
cnf(c_0_37,negated_conjecture,
( ~ p8(X2,X1)
| ~ p16(c23,X2)
| p16(c22,X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_33]) ).
cnf(c_0_38,negated_conjecture,
p8(X1,X1),
p8_2 ).
cnf(c_0_39,negated_conjecture,
( ~ p8(c21,X1)
| p16(c23,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36])]) ).
cnf(c_0_40,negated_conjecture,
~ p16(c22,c21),
inference(fof_simplification,[status(thm)],[not_p16_13]) ).
cnf(c_0_41,negated_conjecture,
( ~ p16(c23,X1)
| p16(c22,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_42,negated_conjecture,
p16(c23,c21),
inference(spm,[status(thm)],[c_0_39,c_0_38]) ).
cnf(c_0_43,negated_conjecture,
~ p16(c22,c21),
c_0_40 ).
cnf(c_0_44,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN623-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/5.38 % Computer : n006.cluster.edu
% 0.09/5.38 % Model : x86_64 x86_64
% 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38 % Memory : 8046.5625MB
% 0.09/5.38 % OS : Linux 6.8.0-71-generic
% 0.09/5.38 % CPULimit : 300
% 0.09/5.38 % WCLimit : 300
% 0.09/5.38 % DateTime : Mon Sep 21 11:10:02 UTC 2026
% 0.09/5.38 % CPUTime :
% 0.09/5.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/5.42 Running first-order theorem proving
% 0.14/5.42 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
% 0.14/5.51 % Version: 3.5.1
% 0.14/5.51 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.14/5.51 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/5.51 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.14/5.51 % Starting new_bool_3 with 300s (1) cores
% 0.14/5.51 % Starting new_bool_1 with 300s (1) cores
% 0.14/5.51 % Starting sh5l with 300s (1) cores
% 0.14/5.51 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 2707678 completed with status 0
% 0.14/5.51 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.14/5.51 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.14/5.51 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/5.51 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.14/5.51 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/5.51 % No SInE strategy applied
% 0.14/5.51 % Search class: FGUNM-FFMS22-MFFFFFNN
% 0.14/5.51 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/5.51 % Starting SubtermCWHack with 136s (1) cores
% 0.14/5.51 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.14/5.51 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.14/5.51 % Starting new_bool_3 with 136s (1) cores
% 0.14/5.52 % Starting new_bool_1 with 136s (1) cores
% 0.14/5.52 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with pid 2707684 completed with status 0
% 0.14/5.52 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y
% 0.14/5.52 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.14/5.52 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/5.52 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.14/5.52 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/5.52 % No SInE strategy applied
% 0.14/5.52 % Search class: FGUNM-FFMS22-MFFFFFNN
% 0.14/5.52 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/5.52 % Starting SubtermCWHack with 136s (1) cores
% 0.14/5.52 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.14/5.52 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.14/5.52 % Preprocessing time : 0.002 s
% 0.14/5.52 % Presaturation interreduction done
% 0.14/5.52
% 0.14/5.52 % Proof found!
% 0.14/5.52 % SZS status Unsatisfiable
% 0.14/5.52 % SZS output start CNFRefutation
% See solution above
% 0.14/5.52 % Parsed axioms : 35
% 0.14/5.52 % Removed by relevancy pruning/SinE : 0
% 0.14/5.52 % Initial clauses : 35
% 0.14/5.52 % Removed in clause preprocessing : 0
% 0.14/5.52 % Initial clauses in saturation : 35
% 0.14/5.52 % Processed clauses : 933
% 0.14/5.52 % ...of these trivial : 2
% 0.14/5.52 % ...subsumed : 564
% 0.14/5.52 % ...remaining for further processing : 367
% 0.14/5.52 % Other redundant clauses eliminated : 0
% 0.14/5.52 % Clauses deleted for lack of memory : 0
% 0.14/5.52 % Backward-subsumed : 22
% 0.14/5.52 % Backward-rewritten : 2
% 0.14/5.52 % Generated clauses : 2776
% 0.14/5.52 % ...of the previous two non-redundant : 2239
% 0.14/5.52 % ...aggressively subsumed : 0
% 0.14/5.52 % Contextual simplify-reflections : 0
% 0.14/5.52 % Paramodulations : 2776
% 0.14/5.52 % Factorizations : 0
% 0.14/5.52 % NegExts : 0
% 0.14/5.52 % Equation resolutions : 0
% 0.14/5.52 % Disequality decompositions : 0
% 0.14/5.52 % Total rewrite steps : 1094
% 0.14/5.52 % ...of those cached : 1068
% 0.14/5.52 % Propositional unsat checks : 0
% 0.14/5.52 % Propositional check models : 0
% 0.14/5.52 % Propositional check unsatisfiable : 0
% 0.14/5.52 % Propositional clauses : 0
% 0.14/5.52 % Propositional clauses after purity: 0
% 0.14/5.52 % Propositional unsat core size : 0
% 0.14/5.52 % Propositional preprocessing time : 0.000
% 0.14/5.52 % Propositional encoding time : 0.000
% 0.14/5.52 % Propositional solver time : 0.000
% 0.14/5.52 % Success case prop preproc time : 0.000
% 0.14/5.52 % Success case prop encoding time : 0.000
% 0.14/5.52 % Success case prop solver time : 0.000
% 0.14/5.52 % Current number of processed clauses : 308
% 0.14/5.52 % Positive orientable unit clauses : 20
% 0.14/5.52 % Positive unorientable unit clauses: 0
% 0.14/5.52 % Negative unit clauses : 5
% 0.14/5.52 % Non-unit-clauses : 283
% 0.14/5.52 % Current number of unprocessed clauses: 1367
% 0.14/5.52 % ...number of literals in the above : 7393
% 0.14/5.52 % Current number of archived formulas : 0
% 0.14/5.52 % Current number of archived clauses : 59
% 0.14/5.52 % Clause-clause subsumption calls (NU) : 30860
% 0.14/5.52 % Rec. Clause-clause subsumption calls : 16763
% 0.14/5.52 % Non-unit clause-clause subsumptions : 564
% 0.14/5.52 % Unit Clause-clause subsumption calls : 165
% 0.14/5.52 % Rewrite failures with RHS unbound : 0
% 0.14/5.52 % BW rewrite match attempts : 7
% 0.14/5.52 % BW rewrite match successes : 1
% 0.14/5.52 % Condensation attempts : 0
% 0.14/5.52 % Condensation successes : 0
% 0.14/5.52 % Termbank termtop insertions : 45823
% 0.14/5.52 % Search garbage collected termcells : 116
% 0.14/5.52
% 0.14/5.52 % -------------------------------------------------
% 0.14/5.52 % User time : 0.076 s
% 0.14/5.52 % System time : 0.006 s
% 0.14/5.52 % Total time : 0.081 s
% 0.14/5.52 % Maximum resident set size: 3616 pages
% 0.14/5.52
% 0.14/5.52 % -------------------------------------------------
% 0.14/5.52 % User time : 0.370 s
% 0.14/5.52 % System time : 0.037 s
% 0.14/5.52 % Total time : 0.407 s
% 0.14/5.52 % Maximum resident set size: 4864 pages
% 0.14/5.52 % E exiting
%------------------------------------------------------------------------------