%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SYN712-1 : 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 : n001.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 03:35:35 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.44s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of clauses : 33 ( 14 unt; 0 nHn; 24 RR)
% Number of literals : 65 ( 0 equ; 36 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 34 ( 34 usr; 12 con; 0-2 aty)
% Number of variables : 91 ( 24 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p62_69,negated_conjecture,
( ~ p32(X4,X2)
| ~ p62(X3,X4)
| ~ p4(X3,X1)
| p62(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p62_69) ).
cnf(p32_20,negated_conjecture,
p32(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p32_20) ).
cnf(p4_82,negated_conjecture,
( ~ p3(X2,X4)
| ~ p2(X1,X3)
| p4(f5(X1,X2),f5(X3,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_82) ).
cnf(p62_100,negated_conjecture,
p62(f5(c64,f16(f19(f21(c70,f8(f11(f13(c65,c66),c67),c68)),c71),c72)),c69),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p62_100) ).
cnf(p62_97,negated_conjecture,
( ~ p62(f5(c64,f8(f11(f13(c65,X1),X3),X4)),X2)
| p62(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p62_97) ).
cnf(p3_104,negated_conjecture,
p3(f16(f19(f21(c70,f8(f11(f13(c65,X1),X2),X3)),X4),X5),f8(f11(f13(c65,f23(f25(f27(f29(f31(c74,X1),X2),X3),X4),X5)),f43(f45(f47(f49(f51(c75,X1),X2),X3),X4),X5)),f53(f55(f57(f59(f61(c76,X1),X2),X3),X4),X5))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_104) ).
cnf(not_p62_67,negated_conjecture,
~ p62(f5(c64,f8(f11(f13(c65,c66),c67),c68)),c69),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p62_67) ).
cnf(p62_98,negated_conjecture,
( ~ p62(X1,X4)
| p62(f5(c64,f8(f11(f13(c65,X1),X2),X3)),X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p62_98) ).
cnf(p62_99,negated_conjecture,
( ~ p62(f23(f25(f27(f29(f31(c74,X1),X3),X4),X5),X6),X2)
| p62(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p62_99) ).
cnf(p2_28,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_28) ).
cnf(c_0_10,negated_conjecture,
( ~ p32(X4,X2)
| ~ p62(X3,X4)
| ~ p4(X3,X1)
| p62(X1,X2) ),
inference(fof_simplification,[status(thm)],[p62_69]) ).
cnf(c_0_11,negated_conjecture,
( ~ p32(X4,X2)
| ~ p62(X3,X4)
| ~ p4(X3,X1)
| p62(X1,X2) ),
c_0_10 ).
cnf(c_0_12,negated_conjecture,
p32(X1,X1),
p32_20 ).
cnf(c_0_13,negated_conjecture,
( ~ p3(X2,X4)
| ~ p2(X1,X3)
| p4(f5(X1,X2),f5(X3,X4)) ),
inference(fof_simplification,[status(thm)],[p4_82]) ).
cnf(c_0_14,negated_conjecture,
( ~ p4(X3,X1)
| ~ p62(X3,X2)
| p62(X1,X2) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,negated_conjecture,
( ~ p3(X2,X4)
| ~ p2(X1,X3)
| p4(f5(X1,X2),f5(X3,X4)) ),
c_0_13 ).
cnf(c_0_16,negated_conjecture,
( ~ p3(X5,X2)
| ~ p2(X4,X1)
| ~ p62(f5(X4,X5),X3)
| p62(f5(X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_17,negated_conjecture,
p62(f5(c64,f16(f19(f21(c70,f8(f11(f13(c65,c66),c67),c68)),c71),c72)),c69),
p62_100 ).
cnf(c_0_18,negated_conjecture,
( ~ p62(f5(c64,f8(f11(f13(c65,X1),X3),X4)),X2)
| p62(X1,X2) ),
inference(fof_simplification,[status(thm)],[p62_97]) ).
cnf(c_0_19,negated_conjecture,
( ~ p3(f16(f19(f21(c70,f8(f11(f13(c65,c66),c67),c68)),c71),c72),X2)
| ~ p2(c64,X1)
| p62(f5(X1,X2),c69) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,negated_conjecture,
p3(f16(f19(f21(c70,f8(f11(f13(c65,X1),X2),X3)),X4),X5),f8(f11(f13(c65,f23(f25(f27(f29(f31(c74,X1),X2),X3),X4),X5)),f43(f45(f47(f49(f51(c75,X1),X2),X3),X4),X5)),f53(f55(f57(f59(f61(c76,X1),X2),X3),X4),X5))),
p3_104 ).
cnf(c_0_21,negated_conjecture,
~ p62(f5(c64,f8(f11(f13(c65,c66),c67),c68)),c69),
inference(fof_simplification,[status(thm)],[not_p62_67]) ).
cnf(c_0_22,negated_conjecture,
( ~ p62(X1,X4)
| p62(f5(c64,f8(f11(f13(c65,X1),X2),X3)),X4) ),
inference(fof_simplification,[status(thm)],[p62_98]) ).
cnf(c_0_23,negated_conjecture,
( ~ p62(f23(f25(f27(f29(f31(c74,X1),X3),X4),X5),X6),X2)
| p62(X1,X2) ),
inference(fof_simplification,[status(thm)],[p62_99]) ).
cnf(c_0_24,negated_conjecture,
( ~ p62(f5(c64,f8(f11(f13(c65,X1),X3),X4)),X2)
| p62(X1,X2) ),
c_0_18 ).
cnf(c_0_25,negated_conjecture,
( ~ p2(c64,X1)
| p62(f5(X1,f8(f11(f13(c65,f23(f25(f27(f29(f31(c74,c66),c67),c68),c71),c72)),f43(f45(f47(f49(f51(c75,c66),c67),c68),c71),c72)),f53(f55(f57(f59(f61(c76,c66),c67),c68),c71),c72))),c69) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_26,negated_conjecture,
p2(X1,X1),
p2_28 ).
cnf(c_0_27,negated_conjecture,
~ p62(f5(c64,f8(f11(f13(c65,c66),c67),c68)),c69),
c_0_21 ).
cnf(c_0_28,negated_conjecture,
( ~ p62(X1,X4)
| p62(f5(c64,f8(f11(f13(c65,X1),X2),X3)),X4) ),
c_0_22 ).
cnf(c_0_29,negated_conjecture,
( ~ p62(f23(f25(f27(f29(f31(c74,X1),X3),X4),X5),X6),X2)
| p62(X1,X2) ),
c_0_23 ).
cnf(c_0_30,negated_conjecture,
p62(f23(f25(f27(f29(f31(c74,c66),c67),c68),c71),c72),c69),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26])]) ).
cnf(c_0_31,negated_conjecture,
~ p62(c66,c69),
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
% 0.00/0.02 % Problem : SYN712-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n001.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 11:18:29 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 0.09/0.44 % Version: 3.5.1
% 0.09/0.44 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.09/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.44 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.09/0.44 % Starting new_bool_3 with 300s (1) cores
% 0.09/0.44 % Starting new_bool_1 with 300s (1) cores
% 0.09/0.44 % Starting sh5l with 300s (1) cores
% 0.09/0.44 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 2985786 completed with status 0
% 0.09/0.44 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.09/0.44 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.09/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.44 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.09/0.44 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.09/0.44 % No SInE strategy applied
% 0.09/0.44 % Search class: FHHNM-FFMF22-DFFFFFNN
% 0.09/0.44 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.09/0.44 % Starting SubtermCWHack with 136s (1) cores
% 0.09/0.44 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.09/0.44 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.09/0.44 % Starting new_bool_3 with 136s (1) cores
% 0.09/0.44 % Starting new_bool_1 with 136s (1) cores
% 0.09/0.44 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with pid 2985793 completed with status 0
% 0.09/0.44 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y
% 0.09/0.44 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.09/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.44 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.09/0.44 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.09/0.44 % No SInE strategy applied
% 0.09/0.44 % Search class: FHHNM-FFMF22-DFFFFFNN
% 0.09/0.44 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.09/0.44 % Starting SubtermCWHack with 136s (1) cores
% 0.09/0.44 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.09/0.44 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.09/0.44 % Preprocessing time : 0.001 s
% 0.09/0.44 % Presaturation interreduction done
% 0.09/0.44
% 0.09/0.44 % Proof found!
% 0.09/0.44 % SZS status Unsatisfiable
% 0.09/0.44 % SZS output start CNFRefutation
% See solution above
% 0.09/0.44 % Parsed axioms : 104
% 0.09/0.44 % Removed by relevancy pruning/SinE : 0
% 0.09/0.44 % Initial clauses : 104
% 0.09/0.44 % Removed in clause preprocessing : 0
% 0.09/0.44 % Initial clauses in saturation : 104
% 0.09/0.44 % Processed clauses : 279
% 0.09/0.44 % ...of these trivial : 0
% 0.09/0.44 % ...subsumed : 1
% 0.09/0.44 % ...remaining for further processing : 278
% 0.09/0.44 % Other redundant clauses eliminated : 0
% 0.09/0.44 % Clauses deleted for lack of memory : 0
% 0.09/0.44 % Backward-subsumed : 0
% 0.09/0.44 % Backward-rewritten : 0
% 0.09/0.44 % Generated clauses : 205
% 0.09/0.44 % ...of the previous two non-redundant : 168
% 0.09/0.44 % ...aggressively subsumed : 0
% 0.09/0.44 % Contextual simplify-reflections : 0
% 0.09/0.44 % Paramodulations : 205
% 0.09/0.44 % Factorizations : 0
% 0.09/0.44 % NegExts : 0
% 0.09/0.44 % Equation resolutions : 0
% 0.09/0.44 % Disequality decompositions : 0
% 0.09/0.44 % Total rewrite steps : 34
% 0.09/0.44 % ...of those cached : 0
% 0.09/0.44 % Propositional unsat checks : 0
% 0.09/0.44 % Propositional check models : 0
% 0.09/0.44 % Propositional check unsatisfiable : 0
% 0.09/0.44 % Propositional clauses : 0
% 0.09/0.44 % Propositional clauses after purity: 0
% 0.09/0.44 % Propositional unsat core size : 0
% 0.09/0.44 % Propositional preprocessing time : 0.000
% 0.09/0.44 % Propositional encoding time : 0.000
% 0.09/0.44 % Propositional solver time : 0.000
% 0.09/0.44 % Success case prop preproc time : 0.000
% 0.09/0.44 % Success case prop encoding time : 0.000
% 0.09/0.44 % Success case prop solver time : 0.000
% 0.09/0.44 % Current number of processed clauses : 174
% 0.09/0.44 % Positive orientable unit clauses : 36
% 0.09/0.44 % Positive unorientable unit clauses: 0
% 0.09/0.44 % Negative unit clauses : 2
% 0.09/0.44 % Non-unit-clauses : 136
% 0.09/0.44 % Current number of unprocessed clauses: 96
% 0.09/0.44 % ...number of literals in the above : 350
% 0.09/0.44 % Current number of archived formulas : 0
% 0.09/0.44 % Current number of archived clauses : 104
% 0.09/0.44 % Clause-clause subsumption calls (NU) : 8176
% 0.09/0.44 % Rec. Clause-clause subsumption calls : 7266
% 0.09/0.44 % Non-unit clause-clause subsumptions : 1
% 0.09/0.44 % Unit Clause-clause subsumption calls : 10
% 0.09/0.44 % Rewrite failures with RHS unbound : 0
% 0.09/0.44 % BW rewrite match attempts : 0
% 0.09/0.44 % BW rewrite match successes : 0
% 0.09/0.44 % Condensation attempts : 0
% 0.09/0.44 % Condensation successes : 0
% 0.09/0.44 % Termbank termtop insertions : 7578
% 0.09/0.44 % Search garbage collected termcells : 354
% 0.09/0.44
% 0.09/0.44 % -------------------------------------------------
% 0.09/0.44 % User time : 0.009 s
% 0.09/0.44 % System time : 0.008 s
% 0.09/0.44 % Total time : 0.017 s
% 0.09/0.44 % Maximum resident set size: 3704 pages
% 0.09/0.44
% 0.09/0.44 % -------------------------------------------------
% 0.09/0.44 % User time : 0.054 s
% 0.09/0.44 % System time : 0.022 s
% 0.09/0.44 % Total time : 0.076 s
% 0.09/0.44 % Maximum resident set size: 4608 pages
% 0.09/0.44 % E exiting
%------------------------------------------------------------------------------