%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN703-1 : 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 : 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 03:25:55 PM UTC 2026
% Result : Unsatisfiable 0.17s 0.46s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of clauses : 33 ( 13 unt; 0 nHn; 24 RR)
% Number of literals : 68 ( 0 equ; 39 neg)
% Maximal clause size : 5 ( 2 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 : 88 ( 21 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p47_53,negated_conjecture,
( ~ p15(X4,X2)
| ~ p47(X3,X4)
| ~ p4(X3,X1)
| p47(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p47_53) ).
cnf(p4_60,negated_conjecture,
( ~ p3(X2,X4)
| ~ p2(X1,X3)
| p4(f5(X1,X2),f5(X3,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_60) ).
cnf(p47_77,negated_conjecture,
p47(f5(c48,f16(f18(c54,f8(f11(f13(c49,c50),c51),c52)),c55)),c53),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p47_77) ).
cnf(p47_74,negated_conjecture,
( ~ p47(f5(c48,f8(f11(f13(c49,X1),X3),X4)),X2)
| p47(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p47_74) ).
cnf(p3_80,negated_conjecture,
p3(f16(f18(c54,f8(f11(f13(c49,X1),X2),X3)),X4),f8(f11(f13(c49,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/sandbox/benchmark/theBenchmark.p',p3_80) ).
cnf(p47_75,negated_conjecture,
( ~ p47(f20(f22(f24(f26(c56,X1),X3),X4),X5),X2)
| p47(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p47_75) ).
cnf(p2_8,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_8) ).
cnf(not_p47_51,negated_conjecture,
~ p47(f5(c48,f8(f11(f13(c49,c50),c51),c52)),c53),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p47_51) ).
cnf(p47_76,negated_conjecture,
( ~ p47(X1,X4)
| p47(f5(c48,f8(f11(f13(c49,X1),X2),X3)),X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p47_76) ).
cnf(p15_5,negated_conjecture,
p15(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15_5) ).
cnf(c_0_10,negated_conjecture,
( ~ p15(X4,X2)
| ~ p47(X3,X4)
| ~ p4(X3,X1)
| p47(X1,X2) ),
inference(fof_simplification,[status(thm)],[p47_53]) ).
cnf(c_0_11,negated_conjecture,
( ~ p3(X2,X4)
| ~ p2(X1,X3)
| p4(f5(X1,X2),f5(X3,X4)) ),
inference(fof_simplification,[status(thm)],[p4_60]) ).
cnf(c_0_12,negated_conjecture,
( ~ p15(X4,X2)
| ~ p47(X3,X4)
| ~ p4(X3,X1)
| p47(X1,X2) ),
c_0_10 ).
cnf(c_0_13,negated_conjecture,
( ~ p3(X2,X4)
| ~ p2(X1,X3)
| p4(f5(X1,X2),f5(X3,X4)) ),
c_0_11 ).
cnf(c_0_14,negated_conjecture,
( ~ p15(X6,X3)
| ~ p2(X4,X1)
| ~ p3(X5,X2)
| ~ p47(f5(X4,X5),X6)
| p47(f5(X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_15,negated_conjecture,
p47(f5(c48,f16(f18(c54,f8(f11(f13(c49,c50),c51),c52)),c55)),c53),
p47_77 ).
cnf(c_0_16,negated_conjecture,
( ~ p47(f5(c48,f8(f11(f13(c49,X1),X3),X4)),X2)
| p47(X1,X2) ),
inference(fof_simplification,[status(thm)],[p47_74]) ).
cnf(c_0_17,negated_conjecture,
( ~ p15(c53,X3)
| ~ p2(c48,X1)
| ~ p3(f16(f18(c54,f8(f11(f13(c49,c50),c51),c52)),c55),X2)
| p47(f5(X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,negated_conjecture,
p3(f16(f18(c54,f8(f11(f13(c49,X1),X2),X3)),X4),f8(f11(f13(c49,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_19,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_20,negated_conjecture,
( ~ p47(f5(c48,f8(f11(f13(c49,X1),X3),X4)),X2)
| p47(X1,X2) ),
c_0_16 ).
cnf(c_0_21,negated_conjecture,
( ~ p15(c53,X2)
| ~ p2(c48,X1)
| p47(f5(X1,f8(f11(f13(c49,f20(f22(f24(f26(c56,c50),c51),c52),c55)),f30(f32(f34(f36(c57,c50),c51),c52),c55)),f40(f42(f44(f46(c58,c50),c51),c52),c55))),X2) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,negated_conjecture,
p2(X1,X1),
p2_8 ).
cnf(c_0_23,negated_conjecture,
~ p47(f5(c48,f8(f11(f13(c49,c50),c51),c52)),c53),
inference(fof_simplification,[status(thm)],[not_p47_51]) ).
cnf(c_0_24,negated_conjecture,
( ~ p47(X1,X4)
| p47(f5(c48,f8(f11(f13(c49,X1),X2),X3)),X4) ),
inference(fof_simplification,[status(thm)],[p47_76]) ).
cnf(c_0_25,negated_conjecture,
( ~ p47(f20(f22(f24(f26(c56,X1),X3),X4),X5),X2)
| p47(X1,X2) ),
c_0_19 ).
cnf(c_0_26,negated_conjecture,
( ~ p15(c53,X1)
| p47(f20(f22(f24(f26(c56,c50),c51),c52),c55),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22])]) ).
cnf(c_0_27,negated_conjecture,
~ p47(f5(c48,f8(f11(f13(c49,c50),c51),c52)),c53),
c_0_23 ).
cnf(c_0_28,negated_conjecture,
( ~ p47(X1,X4)
| p47(f5(c48,f8(f11(f13(c49,X1),X2),X3)),X4) ),
c_0_24 ).
cnf(c_0_29,negated_conjecture,
( ~ p15(c53,X1)
| p47(c50,X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_30,negated_conjecture,
p15(X1,X1),
p15_5 ).
cnf(c_0_31,negated_conjecture,
~ p47(c50,c53),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_32,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN703-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n011.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 21 11:13:12 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 0.17/0.46 % Version: 3.5.1
% 0.17/0.46 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.17/0.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.46 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.17/0.46 % Starting new_bool_3 with 300s (1) cores
% 0.17/0.46 % Starting new_bool_1 with 300s (1) cores
% 0.17/0.46 % Starting sh5l with 300s (1) cores
% 0.17/0.46 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 1757829 completed with status 0
% 0.17/0.46 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.17/0.46 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.17/0.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.46 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.17/0.46 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.17/0.46 % No SInE strategy applied
% 0.17/0.46 % Search class: FHUNM-FFMF22-DFFFFFNN
% 0.17/0.46 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.46 % Starting SubtermCWHack with 136s (1) cores
% 0.17/0.46 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.17/0.46 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.17/0.46 % Starting new_bool_3 with 136s (1) cores
% 0.17/0.46 % Starting new_bool_1 with 136s (1) cores
% 0.17/0.46 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 1757835 completed with status 0
% 0.17/0.46 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.17/0.46 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.17/0.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.46 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.17/0.46 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.17/0.46 % No SInE strategy applied
% 0.17/0.46 % Search class: FHUNM-FFMF22-DFFFFFNN
% 0.17/0.46 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.46 % Starting SubtermCWHack with 136s (1) cores
% 0.17/0.46 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.17/0.46 % Preprocessing time : 0.001 s
% 0.17/0.46 % Presaturation interreduction done
% 0.17/0.46
% 0.17/0.46 % Proof found!
% 0.17/0.46 % SZS status Unsatisfiable
% 0.17/0.46 % SZS output start CNFRefutation
% See solution above
% 0.17/0.46 % Parsed axioms : 80
% 0.17/0.46 % Removed by relevancy pruning/SinE : 0
% 0.17/0.46 % Initial clauses : 80
% 0.17/0.46 % Removed in clause preprocessing : 0
% 0.17/0.46 % Initial clauses in saturation : 80
% 0.17/0.46 % Processed clauses : 359
% 0.17/0.46 % ...of these trivial : 0
% 0.17/0.46 % ...subsumed : 69
% 0.17/0.46 % ...remaining for further processing : 290
% 0.17/0.46 % Other redundant clauses eliminated : 0
% 0.17/0.46 % Clauses deleted for lack of memory : 0
% 0.17/0.46 % Backward-subsumed : 0
% 0.17/0.46 % Backward-rewritten : 0
% 0.17/0.46 % Generated clauses : 392
% 0.17/0.46 % ...of the previous two non-redundant : 361
% 0.17/0.46 % ...aggressively subsumed : 0
% 0.17/0.46 % Contextual simplify-reflections : 0
% 0.17/0.46 % Paramodulations : 392
% 0.17/0.46 % Factorizations : 0
% 0.17/0.46 % NegExts : 0
% 0.17/0.46 % Equation resolutions : 0
% 0.17/0.46 % Disequality decompositions : 0
% 0.17/0.46 % Total rewrite steps : 29
% 0.17/0.46 % ...of those cached : 0
% 0.17/0.46 % Propositional unsat checks : 0
% 0.17/0.46 % Propositional check models : 0
% 0.17/0.46 % Propositional check unsatisfiable : 0
% 0.17/0.46 % Propositional clauses : 0
% 0.17/0.46 % Propositional clauses after purity: 0
% 0.17/0.46 % Propositional unsat core size : 0
% 0.17/0.46 % Propositional preprocessing time : 0.000
% 0.17/0.46 % Propositional encoding time : 0.000
% 0.17/0.46 % Propositional solver time : 0.000
% 0.17/0.46 % Success case prop preproc time : 0.000
% 0.17/0.46 % Success case prop encoding time : 0.000
% 0.17/0.46 % Success case prop solver time : 0.000
% 0.17/0.46 % Current number of processed clauses : 210
% 0.17/0.46 % Positive orientable unit clauses : 28
% 0.17/0.47 % Positive unorientable unit clauses: 0
% 0.17/0.47 % Negative unit clauses : 3
% 0.17/0.47 % Non-unit-clauses : 179
% 0.17/0.47 % Current number of unprocessed clauses: 162
% 0.17/0.47 % ...number of literals in the above : 809
% 0.17/0.47 % Current number of archived formulas : 0
% 0.17/0.47 % Current number of archived clauses : 80
% 0.17/0.47 % Clause-clause subsumption calls (NU) : 14210
% 0.17/0.47 % Rec. Clause-clause subsumption calls : 9556
% 0.17/0.47 % Non-unit clause-clause subsumptions : 69
% 0.17/0.47 % Unit Clause-clause subsumption calls : 14
% 0.17/0.47 % Rewrite failures with RHS unbound : 0
% 0.17/0.47 % BW rewrite match attempts : 0
% 0.17/0.47 % BW rewrite match successes : 0
% 0.17/0.47 % Condensation attempts : 0
% 0.17/0.47 % Condensation successes : 0
% 0.17/0.47 % Termbank termtop insertions : 10585
% 0.17/0.47 % Search garbage collected termcells : 264
% 0.17/0.47
% 0.17/0.47 % -------------------------------------------------
% 0.17/0.47 % User time : 0.018 s
% 0.17/0.47 % System time : 0.004 s
% 0.17/0.47 % Total time : 0.022 s
% 0.17/0.47 % Maximum resident set size: 3720 pages
% 0.17/0.47
% 0.17/0.47 % -------------------------------------------------
% 0.17/0.47 % User time : 0.070 s
% 0.17/0.47 % System time : 0.017 s
% 0.17/0.47 % Total time : 0.087 s
% 0.17/0.47 % Maximum resident set size: 4864 pages
% 0.17/0.47 % E exiting
%------------------------------------------------------------------------------