%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SYN705-1 : 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 : n015.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 03:35:34 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.45s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of clauses : 35 ( 17 unt; 0 nHn; 23 RR)
% Number of literals : 63 ( 0 equ; 31 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 29 ( 29 usr; 11 con; 0-2 aty)
% Number of variables : 98 ( 23 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p4_58,negated_conjecture,
( ~ p3(X2,X4)
| ~ p2(X1,X3)
| p4(f5(X1,X2),f5(X3,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_58) ).
cnf(p2_20,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_20) ).
cnf(p47_53,negated_conjecture,
( ~ p4(X3,X1)
| ~ p7(X4,X2)
| ~ p47(X3,X4)
| p47(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p47_53) ).
cnf(p3_80,negated_conjecture,
p3(f8(f10(c49,f13(f16(f18(c50,X1),X2),X3)),X4),f13(f16(f18(c50,f20(f22(f24(f26(c56,X1),X2),X3),X4)),f30(f32(f34(f36(c57,X1),X2),X3),X4)),f40(f42(f44(f46(c58,X1),X2),X3),X4))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_80) ).
cnf(p7_3,negated_conjecture,
p7(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_3) ).
cnf(p47_74,negated_conjecture,
( ~ p47(f5(c48,f13(f16(f18(c50,X1),X3),X4)),X2)
| p47(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p47_74) ).
cnf(p47_77,negated_conjecture,
p47(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),c55),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p47_77) ).
cnf(p47_75,negated_conjecture,
( ~ p47(f20(f22(f24(f26(c56,X1),X3),X4),X5),X2)
| p47(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p47_75) ).
cnf(p47_76,negated_conjecture,
( ~ p47(X1,X4)
| p47(f5(c48,f13(f16(f18(c50,X1),X2),X3)),X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p47_76) ).
cnf(not_p47_51,negated_conjecture,
~ p47(f5(c48,f13(f16(f18(c50,c51),c52),c53)),c55),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p47_51) ).
cnf(c_0_10,negated_conjecture,
( ~ p3(X2,X4)
| ~ p2(X1,X3)
| p4(f5(X1,X2),f5(X3,X4)) ),
inference(fof_simplification,[status(thm)],[p4_58]) ).
cnf(c_0_11,negated_conjecture,
( ~ p3(X2,X4)
| ~ p2(X1,X3)
| p4(f5(X1,X2),f5(X3,X4)) ),
c_0_10 ).
cnf(c_0_12,negated_conjecture,
p2(X1,X1),
p2_20 ).
cnf(c_0_13,negated_conjecture,
( ~ p4(X3,X1)
| ~ p7(X4,X2)
| ~ p47(X3,X4)
| p47(X1,X2) ),
inference(fof_simplification,[status(thm)],[p47_53]) ).
cnf(c_0_14,negated_conjecture,
( ~ p3(X2,X3)
| p4(f5(X1,X2),f5(X1,X3)) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,negated_conjecture,
p3(f8(f10(c49,f13(f16(f18(c50,X1),X2),X3)),X4),f13(f16(f18(c50,f20(f22(f24(f26(c56,X1),X2),X3),X4)),f30(f32(f34(f36(c57,X1),X2),X3),X4)),f40(f42(f44(f46(c58,X1),X2),X3),X4))),
p3_80 ).
cnf(c_0_16,negated_conjecture,
( ~ p4(X3,X1)
| ~ p7(X4,X2)
| ~ p47(X3,X4)
| p47(X1,X2) ),
c_0_13 ).
cnf(c_0_17,negated_conjecture,
p4(f5(X1,f8(f10(c49,f13(f16(f18(c50,X2),X3),X4)),X5)),f5(X1,f13(f16(f18(c50,f20(f22(f24(f26(c56,X2),X3),X4),X5)),f30(f32(f34(f36(c57,X2),X3),X4),X5)),f40(f42(f44(f46(c58,X2),X3),X4),X5)))),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,negated_conjecture,
( ~ p7(X7,X6)
| ~ p47(f5(X1,f8(f10(c49,f13(f16(f18(c50,X2),X3),X4)),X5)),X7)
| p47(f5(X1,f13(f16(f18(c50,f20(f22(f24(f26(c56,X2),X3),X4),X5)),f30(f32(f34(f36(c57,X2),X3),X4),X5)),f40(f42(f44(f46(c58,X2),X3),X4),X5))),X6) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_19,negated_conjecture,
p7(X1,X1),
p7_3 ).
cnf(c_0_20,negated_conjecture,
( ~ p47(f5(c48,f13(f16(f18(c50,X1),X3),X4)),X2)
| p47(X1,X2) ),
inference(fof_simplification,[status(thm)],[p47_74]) ).
cnf(c_0_21,negated_conjecture,
( ~ p47(f5(X1,f8(f10(c49,f13(f16(f18(c50,X2),X3),X4)),X5)),X6)
| p47(f5(X1,f13(f16(f18(c50,f20(f22(f24(f26(c56,X2),X3),X4),X5)),f30(f32(f34(f36(c57,X2),X3),X4),X5)),f40(f42(f44(f46(c58,X2),X3),X4),X5))),X6) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_22,negated_conjecture,
p47(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),c55),
p47_77 ).
cnf(c_0_23,negated_conjecture,
( ~ p47(f20(f22(f24(f26(c56,X1),X3),X4),X5),X2)
| p47(X1,X2) ),
inference(fof_simplification,[status(thm)],[p47_75]) ).
cnf(c_0_24,negated_conjecture,
( ~ p47(f5(c48,f13(f16(f18(c50,X1),X3),X4)),X2)
| p47(X1,X2) ),
c_0_20 ).
cnf(c_0_25,negated_conjecture,
p47(f5(c48,f13(f16(f18(c50,f20(f22(f24(f26(c56,c51),c52),c53),c54)),f30(f32(f34(f36(c57,c51),c52),c53),c54)),f40(f42(f44(f46(c58,c51),c52),c53),c54))),c55),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_26,negated_conjecture,
( ~ p47(X1,X4)
| p47(f5(c48,f13(f16(f18(c50,X1),X2),X3)),X4) ),
inference(fof_simplification,[status(thm)],[p47_76]) ).
cnf(c_0_27,negated_conjecture,
( ~ p47(f20(f22(f24(f26(c56,X1),X3),X4),X5),X2)
| p47(X1,X2) ),
c_0_23 ).
cnf(c_0_28,negated_conjecture,
p47(f20(f22(f24(f26(c56,c51),c52),c53),c54),c55),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_29,negated_conjecture,
~ p47(f5(c48,f13(f16(f18(c50,c51),c52),c53)),c55),
inference(fof_simplification,[status(thm)],[not_p47_51]) ).
cnf(c_0_30,negated_conjecture,
( ~ p47(X1,X4)
| p47(f5(c48,f13(f16(f18(c50,X1),X2),X3)),X4) ),
c_0_26 ).
cnf(c_0_31,negated_conjecture,
p47(c51,c55),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_32,negated_conjecture,
~ p47(f5(c48,f13(f16(f18(c50,c51),c52),c53)),c55),
c_0_29 ).
cnf(c_0_33,negated_conjecture,
p47(f5(c48,f13(f16(f18(c50,c51),X1),X2)),c55),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_34,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_33])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN705-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n015.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 11:16:07 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 0.09/0.45 % Version: 3.5.1
% 0.09/0.45 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.09/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.45 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.09/0.45 % Starting new_bool_3 with 300s (1) cores
% 0.09/0.45 % Starting new_bool_1 with 300s (1) cores
% 0.09/0.45 % Starting sh5l with 300s (1) cores
% 0.09/0.45 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 1336911 completed with status 0
% 0.09/0.45 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.09/0.45 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.09/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.45 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.09/0.45 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.09/0.45 % No SInE strategy applied
% 0.09/0.45 % Search class: FHUNM-FFMF22-DFFFFFNN
% 0.09/0.45 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.09/0.45 % Starting SubtermCWHack with 136s (1) cores
% 0.09/0.45 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.09/0.45 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.09/0.45 % Starting new_bool_3 with 136s (1) cores
% 0.09/0.45 % Starting new_bool_1 with 136s (1) cores
% 0.09/0.45 % new_bool_3 with pid 1336919 completed with status 0
% 0.09/0.45 % Result found by new_bool_3
% 0.09/0.45 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.09/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.45 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.09/0.45 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.09/0.45 % No SInE strategy applied
% 0.09/0.45 % Search class: FHUNM-FFMF22-DFFFFFNN
% 0.09/0.45 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.09/0.45 % Starting SubtermCWHack with 136s (1) cores
% 0.09/0.45 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.09/0.45 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.09/0.45 % Starting new_bool_3 with 136s (1) cores
% 0.09/0.45 % Preprocessing time : 0.002 s
% 0.09/0.45 % Presaturation interreduction done
% 0.09/0.45
% 0.09/0.45 % Proof found!
% 0.09/0.45 % SZS status Unsatisfiable
% 0.09/0.45 % SZS output start CNFRefutation
% See solution above
% 0.09/0.45 % Parsed axioms : 80
% 0.09/0.45 % Removed by relevancy pruning/SinE : 0
% 0.09/0.45 % Initial clauses : 80
% 0.09/0.45 % Removed in clause preprocessing : 0
% 0.09/0.45 % Initial clauses in saturation : 80
% 0.09/0.45 % Processed clauses : 227
% 0.09/0.45 % ...of these trivial : 0
% 0.09/0.45 % ...subsumed : 0
% 0.09/0.45 % ...remaining for further processing : 227
% 0.09/0.45 % Other redundant clauses eliminated : 0
% 0.09/0.45 % Clauses deleted for lack of memory : 0
% 0.09/0.45 % Backward-subsumed : 0
% 0.09/0.45 % Backward-rewritten : 1
% 0.09/0.45 % Generated clauses : 145
% 0.09/0.45 % ...of the previous two non-redundant : 81
% 0.09/0.45 % ...aggressively subsumed : 0
% 0.09/0.45 % Contextual simplify-reflections : 0
% 0.09/0.45 % Paramodulations : 145
% 0.09/0.45 % Factorizations : 0
% 0.09/0.45 % NegExts : 0
% 0.09/0.45 % Equation resolutions : 0
% 0.09/0.45 % Disequality decompositions : 0
% 0.09/0.45 % Total rewrite steps : 62
% 0.09/0.45 % ...of those cached : 1
% 0.09/0.45 % Propositional unsat checks : 0
% 0.09/0.45 % Propositional check models : 0
% 0.09/0.45 % Propositional check unsatisfiable : 0
% 0.09/0.45 % Propositional clauses : 0
% 0.09/0.45 % Propositional clauses after purity: 0
% 0.09/0.45 % Propositional unsat core size : 0
% 0.09/0.45 % Propositional preprocessing time : 0.000
% 0.09/0.45 % Propositional encoding time : 0.000
% 0.09/0.45 % Propositional solver time : 0.000
% 0.09/0.45 % Success case prop preproc time : 0.000
% 0.09/0.45 % Success case prop encoding time : 0.000
% 0.09/0.45 % Success case prop solver time : 0.000
% 0.09/0.45 % Current number of processed clauses : 146
% 0.09/0.45 % Positive orientable unit clauses : 41
% 0.09/0.45 % Positive unorientable unit clauses: 0
% 0.09/0.45 % Negative unit clauses : 1
% 0.09/0.45 % Non-unit-clauses : 104
% 0.09/0.45 % Current number of unprocessed clauses: 14
% 0.09/0.45 % ...number of literals in the above : 14
% 0.09/0.45 % Current number of archived formulas : 0
% 0.09/0.45 % Current number of archived clauses : 81
% 0.09/0.45 % Clause-clause subsumption calls (NU) : 2460
% 0.09/0.45 % Rec. Clause-clause subsumption calls : 2406
% 0.09/0.45 % Non-unit clause-clause subsumptions : 0
% 0.09/0.45 % Unit Clause-clause subsumption calls : 10
% 0.09/0.45 % Rewrite failures with RHS unbound : 0
% 0.09/0.45 % BW rewrite match attempts : 45
% 0.09/0.45 % BW rewrite match successes : 1
% 0.09/0.45 % Condensation attempts : 0
% 0.09/0.45 % Condensation successes : 0
% 0.09/0.45 % Termbank termtop insertions : 7019
% 0.09/0.45 % Search garbage collected termcells : 264
% 0.09/0.45
% 0.09/0.45 % -------------------------------------------------
% 0.09/0.45 % User time : 0.013 s
% 0.09/0.45 % System time : 0.007 s
% 0.09/0.45 % Total time : 0.020 s
% 0.09/0.45 % Maximum resident set size: 3464 pages
% 0.09/0.45
% 0.09/0.45 % -------------------------------------------------
% 0.09/0.45 % User time : 0.066 s
% 0.09/0.45 % System time : 0.024 s
% 0.09/0.45 % Total time : 0.090 s
% 0.09/0.45 % Maximum resident set size: 4608 pages
% 0.09/0.45 % E exiting
%------------------------------------------------------------------------------