%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN652-1 : 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 : n011.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 03:25:49 PM UTC 2026
% Result : Unsatisfiable 0.04s 0.43s
% Output : CNFRefutation 0.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of clauses : 33 ( 20 unt; 0 nHn; 23 RR)
% Number of literals : 52 ( 0 equ; 22 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 9 con; 0-2 aty)
% Number of variables : 47 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p4_23,negated_conjecture,
( ~ p4(X3,X2)
| ~ p4(X3,X1)
| p4(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_23) ).
cnf(p4_41,negated_conjecture,
( ~ p4(X2,X4)
| ~ p14(X1,X3)
| p4(f15(X1,X2),f15(X3,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_41) ).
cnf(p4_5,negated_conjecture,
p4(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_5) ).
cnf(p14_14,negated_conjecture,
p14(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14_14) ).
cnf(p4_16,negated_conjecture,
p4(c34,f5(c35,c32)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_16) ).
cnf(p4_46,negated_conjecture,
( ~ p27(f8(f10(c28,f13(c29,c30)),X1),X2)
| p4(f5(c31,X1),f5(c31,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_46) ).
cnf(p4_34,negated_conjecture,
p4(f15(f17(c36,X1),f5(c35,X2)),f5(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_34) ).
cnf(p27_17,negated_conjecture,
p27(f8(f10(c28,f13(c29,c30)),c32),c33),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p27_17) ).
cnf(not_p4_18,negated_conjecture,
~ p4(f5(c31,c33),f15(f17(c36,c31),c34)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p4_18) ).
cnf(c_0_9,negated_conjecture,
( ~ p4(X3,X2)
| ~ p4(X3,X1)
| p4(X1,X2) ),
inference(fof_simplification,[status(thm)],[p4_23]) ).
cnf(c_0_10,negated_conjecture,
( ~ p4(X2,X4)
| ~ p14(X1,X3)
| p4(f15(X1,X2),f15(X3,X4)) ),
inference(fof_simplification,[status(thm)],[p4_41]) ).
cnf(c_0_11,negated_conjecture,
( ~ p4(X3,X2)
| ~ p4(X3,X1)
| p4(X1,X2) ),
c_0_9 ).
cnf(c_0_12,negated_conjecture,
p4(X1,X1),
p4_5 ).
cnf(c_0_13,negated_conjecture,
( ~ p4(X2,X4)
| ~ p14(X1,X3)
| p4(f15(X1,X2),f15(X3,X4)) ),
c_0_10 ).
cnf(c_0_14,negated_conjecture,
p14(X1,X1),
p14_14 ).
cnf(c_0_15,negated_conjecture,
( ~ p4(X2,X1)
| p4(X1,X2) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,negated_conjecture,
p4(c34,f5(c35,c32)),
p4_16 ).
cnf(c_0_17,negated_conjecture,
( ~ p27(f8(f10(c28,f13(c29,c30)),X1),X2)
| p4(f5(c31,X1),f5(c31,X2)) ),
inference(fof_simplification,[status(thm)],[p4_46]) ).
cnf(c_0_18,negated_conjecture,
p4(f15(f17(c36,X1),f5(c35,X2)),f5(X1,X2)),
p4_34 ).
cnf(c_0_19,negated_conjecture,
( ~ p4(X2,X3)
| p4(f15(X1,X2),f15(X1,X3)) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_20,negated_conjecture,
p4(f5(c35,c32),c34),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_21,negated_conjecture,
( ~ p27(f8(f10(c28,f13(c29,c30)),X1),X2)
| p4(f5(c31,X1),f5(c31,X2)) ),
c_0_17 ).
cnf(c_0_22,negated_conjecture,
p27(f8(f10(c28,f13(c29,c30)),c32),c33),
p27_17 ).
cnf(c_0_23,negated_conjecture,
( ~ p4(f15(f17(c36,X2),f5(c35,X3)),X1)
| p4(X1,f5(X2,X3)) ),
inference(spm,[status(thm)],[c_0_11,c_0_18]) ).
cnf(c_0_24,negated_conjecture,
p4(f15(X1,f5(c35,c32)),f15(X1,c34)),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_25,negated_conjecture,
p4(f5(c31,c32),f5(c31,c33)),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_26,negated_conjecture,
p4(f15(f17(c36,X1),c34),f5(X1,c32)),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_27,negated_conjecture,
( ~ p4(f5(c31,c32),X1)
| p4(X1,f5(c31,c33)) ),
inference(spm,[status(thm)],[c_0_11,c_0_25]) ).
cnf(c_0_28,negated_conjecture,
p4(f5(X1,c32),f15(f17(c36,X1),c34)),
inference(spm,[status(thm)],[c_0_15,c_0_26]) ).
cnf(c_0_29,negated_conjecture,
~ p4(f5(c31,c33),f15(f17(c36,c31),c34)),
inference(fof_simplification,[status(thm)],[not_p4_18]) ).
cnf(c_0_30,negated_conjecture,
p4(f15(f17(c36,c31),c34),f5(c31,c33)),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_31,negated_conjecture,
~ p4(f5(c31,c33),f15(f17(c36,c31),c34)),
c_0_29 ).
cnf(c_0_32,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_30]),c_0_31]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN652-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.35 % Computer : n011.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 11:11:27 UTC 2026
% 0.04/0.36 % CPUTime :
% 0.04/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.04/0.40 Running first-order theorem proving
% 0.04/0.40 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
% 0.04/0.43 % Version: 3.5.1
% 0.04/0.43 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.04/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.04/0.43 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.04/0.43 % Starting new_bool_3 with 300s (1) cores
% 0.04/0.43 % Starting new_bool_1 with 300s (1) cores
% 0.04/0.43 % Starting sh5l with 300s (1) cores
% 0.04/0.43 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 1752381 completed with status 0
% 0.04/0.43 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.04/0.43 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.04/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.04/0.43 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.04/0.43 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.04/0.43 % No SInE strategy applied
% 0.04/0.43 % Search class: FHUNM-FFMF22-MFFFFFNN
% 0.04/0.43 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.04/0.43 % Starting SubtermCWHack with 136s (1) cores
% 0.04/0.43 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.04/0.43 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.04/0.43 % Starting new_bool_3 with 136s (1) cores
% 0.04/0.43 % Starting new_bool_1 with 136s (1) cores
% 0.04/0.43 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 1752387 completed with status 0
% 0.04/0.43 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.04/0.43 % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.04/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.04/0.43 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.04/0.43 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.04/0.43 % No SInE strategy applied
% 0.04/0.43 % Search class: FHUNM-FFMF22-MFFFFFNN
% 0.04/0.43 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.04/0.43 % Starting SubtermCWHack with 136s (1) cores
% 0.04/0.43 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.04/0.43 % Preprocessing time : 0.002 s
% 0.04/0.43 % Presaturation interreduction done
% 0.04/0.43
% 0.04/0.43 % Proof found!
% 0.04/0.43 % SZS status Unsatisfiable
% 0.04/0.43 % SZS output start CNFRefutation
% See solution above
% 0.04/0.43 % Parsed axioms : 47
% 0.04/0.43 % Removed by relevancy pruning/SinE : 0
% 0.04/0.43 % Initial clauses : 47
% 0.04/0.43 % Removed in clause preprocessing : 0
% 0.04/0.43 % Initial clauses in saturation : 47
% 0.04/0.43 % Processed clauses : 136
% 0.04/0.43 % ...of these trivial : 1
% 0.04/0.43 % ...subsumed : 0
% 0.04/0.43 % ...remaining for further processing : 135
% 0.04/0.43 % Other redundant clauses eliminated : 0
% 0.04/0.43 % Clauses deleted for lack of memory : 0
% 0.04/0.43 % Backward-subsumed : 0
% 0.04/0.43 % Backward-rewritten : 0
% 0.04/0.43 % Generated clauses : 107
% 0.04/0.43 % ...of the previous two non-redundant : 62
% 0.04/0.43 % ...aggressively subsumed : 0
% 0.04/0.43 % Contextual simplify-reflections : 0
% 0.04/0.43 % Paramodulations : 107
% 0.04/0.43 % Factorizations : 0
% 0.04/0.43 % NegExts : 0
% 0.04/0.43 % Equation resolutions : 0
% 0.04/0.43 % Disequality decompositions : 0
% 0.04/0.43 % Total rewrite steps : 43
% 0.04/0.43 % ...of those cached : 3
% 0.04/0.43 % Propositional unsat checks : 0
% 0.04/0.43 % Propositional check models : 0
% 0.04/0.43 % Propositional check unsatisfiable : 0
% 0.04/0.43 % Propositional clauses : 0
% 0.04/0.43 % Propositional clauses after purity: 0
% 0.04/0.43 % Propositional unsat core size : 0
% 0.04/0.43 % Propositional preprocessing time : 0.000
% 0.04/0.43 % Propositional encoding time : 0.000
% 0.04/0.43 % Propositional solver time : 0.000
% 0.04/0.43 % Success case prop preproc time : 0.000
% 0.04/0.43 % Success case prop encoding time : 0.000
% 0.04/0.43 % Success case prop solver time : 0.000
% 0.04/0.43 % Current number of processed clauses : 88
% 0.04/0.43 % Positive orientable unit clauses : 29
% 0.04/0.43 % Positive unorientable unit clauses: 0
% 0.04/0.43 % Negative unit clauses : 1
% 0.04/0.43 % Non-unit-clauses : 58
% 0.04/0.43 % Current number of unprocessed clauses: 19
% 0.04/0.43 % ...number of literals in the above : 26
% 0.04/0.43 % Current number of archived formulas : 0
% 0.04/0.43 % Current number of archived clauses : 47
% 0.04/0.43 % Clause-clause subsumption calls (NU) : 605
% 0.04/0.43 % Rec. Clause-clause subsumption calls : 573
% 0.04/0.43 % Non-unit clause-clause subsumptions : 0
% 0.04/0.43 % Unit Clause-clause subsumption calls : 1
% 0.04/0.43 % Rewrite failures with RHS unbound : 0
% 0.04/0.43 % BW rewrite match attempts : 4
% 0.04/0.43 % BW rewrite match successes : 0
% 0.04/0.43 % Condensation attempts : 0
% 0.04/0.43 % Condensation successes : 0
% 0.04/0.43 % Termbank termtop insertions : 3104
% 0.04/0.43 % Search garbage collected termcells : 156
% 0.04/0.43
% 0.04/0.43 % -------------------------------------------------
% 0.04/0.43 % User time : 0.009 s
% 0.04/0.43 % System time : 0.004 s
% 0.04/0.43 % Total time : 0.013 s
% 0.04/0.43 % Maximum resident set size: 3684 pages
% 0.04/0.43
% 0.04/0.43 % -------------------------------------------------
% 0.04/0.43 % User time : 0.043 s
% 0.04/0.43 % System time : 0.015 s
% 0.04/0.43 % Total time : 0.058 s
% 0.04/0.43 % Maximum resident set size: 4864 pages
% 0.04/0.43 % E exiting
%------------------------------------------------------------------------------