%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN631-1 : 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 : n010.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 03:25:46 PM UTC 2026
% Result : Unsatisfiable 10.72s 1.90s
% Output : CNFRefutation 10.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of clauses : 42 ( 19 unt; 0 nHn; 34 RR)
% Number of literals : 78 ( 0 equ; 39 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-3 aty)
% Number of variables : 77 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p5_25,negated_conjecture,
( ~ p5(X3,X2)
| ~ p5(X3,X1)
| p5(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_25) ).
cnf(p5_34,negated_conjecture,
( ~ p23(f13(X1,X3),f11(f15(X2)))
| p5(X1,f18(f20(c29),f19(X2,X1,X3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_34) ).
cnf(p5_5,negated_conjecture,
p5(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_5) ).
cnf(p23_12,negated_conjecture,
p23(f13(c27,f14(c28)),f11(f15(c24))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p23_12) ).
cnf(p5_18,negated_conjecture,
( ~ p5(X1,X2)
| p5(f16(X1),f16(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_18) ).
cnf(p5_11,negated_conjecture,
p5(f16(f18(X1,X2)),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_11) ).
cnf(p23_35,negated_conjecture,
( ~ p23(f13(X2,X3),f11(f15(X1)))
| p23(f13(f19(X1,X2,X3),X3),f11(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p23_35) ).
cnf(p12_32,negated_conjecture,
( ~ p5(X2,X4)
| ~ p5(X1,X3)
| p12(f13(X1,X2),f13(X3,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_32) ).
cnf(p23_29,negated_conjecture,
( ~ p10(X4,X2)
| ~ p23(X3,X4)
| ~ p12(X3,X1)
| p23(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p23_29) ).
cnf(not_p23_13,negated_conjecture,
~ p23(f13(f16(c27),f14(c28)),f11(c24)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p23_13) ).
cnf(p10_1,negated_conjecture,
p10(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_1) ).
cnf(c_0_11,negated_conjecture,
( ~ p5(X3,X2)
| ~ p5(X3,X1)
| p5(X1,X2) ),
inference(fof_simplification,[status(thm)],[p5_25]) ).
cnf(c_0_12,negated_conjecture,
( ~ p23(f13(X1,X3),f11(f15(X2)))
| p5(X1,f18(f20(c29),f19(X2,X1,X3))) ),
inference(fof_simplification,[status(thm)],[p5_34]) ).
cnf(c_0_13,negated_conjecture,
( ~ p5(X3,X2)
| ~ p5(X3,X1)
| p5(X1,X2) ),
c_0_11 ).
cnf(c_0_14,negated_conjecture,
p5(X1,X1),
p5_5 ).
cnf(c_0_15,negated_conjecture,
( ~ p23(f13(X1,X3),f11(f15(X2)))
| p5(X1,f18(f20(c29),f19(X2,X1,X3))) ),
c_0_12 ).
cnf(c_0_16,negated_conjecture,
p23(f13(c27,f14(c28)),f11(f15(c24))),
p23_12 ).
cnf(c_0_17,negated_conjecture,
( ~ p5(X1,X2)
| p5(f16(X1),f16(X2)) ),
inference(fof_simplification,[status(thm)],[p5_18]) ).
cnf(c_0_18,negated_conjecture,
( ~ p5(X2,X1)
| p5(X1,X2) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_19,negated_conjecture,
p5(c27,f18(f20(c29),f19(c24,c27,f14(c28)))),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,negated_conjecture,
p5(f16(f18(X1,X2)),X2),
p5_11 ).
cnf(c_0_21,negated_conjecture,
( ~ p5(X1,X2)
| p5(f16(X1),f16(X2)) ),
c_0_17 ).
cnf(c_0_22,negated_conjecture,
p5(f18(f20(c29),f19(c24,c27,f14(c28))),c27),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_23,negated_conjecture,
( ~ p23(f13(X2,X3),f11(f15(X1)))
| p23(f13(f19(X1,X2,X3),X3),f11(X1)) ),
inference(fof_simplification,[status(thm)],[p23_35]) ).
cnf(c_0_24,negated_conjecture,
( ~ p5(X2,X4)
| ~ p5(X1,X3)
| p12(f13(X1,X2),f13(X3,X4)) ),
inference(fof_simplification,[status(thm)],[p12_32]) ).
cnf(c_0_25,negated_conjecture,
( ~ p5(f16(f18(X3,X2)),X1)
| p5(X1,X2) ),
inference(spm,[status(thm)],[c_0_13,c_0_20]) ).
cnf(c_0_26,negated_conjecture,
p5(f16(f18(f20(c29),f19(c24,c27,f14(c28)))),f16(c27)),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_27,negated_conjecture,
( ~ p10(X4,X2)
| ~ p23(X3,X4)
| ~ p12(X3,X1)
| p23(X1,X2) ),
inference(fof_simplification,[status(thm)],[p23_29]) ).
cnf(c_0_28,negated_conjecture,
( ~ p23(f13(X2,X3),f11(f15(X1)))
| p23(f13(f19(X1,X2,X3),X3),f11(X1)) ),
c_0_23 ).
cnf(c_0_29,negated_conjecture,
( ~ p5(X2,X4)
| ~ p5(X1,X3)
| p12(f13(X1,X2),f13(X3,X4)) ),
c_0_24 ).
cnf(c_0_30,negated_conjecture,
p5(f16(c27),f19(c24,c27,f14(c28))),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_31,negated_conjecture,
( ~ p10(X4,X2)
| ~ p23(X3,X4)
| ~ p12(X3,X1)
| p23(X1,X2) ),
c_0_27 ).
cnf(c_0_32,negated_conjecture,
p23(f13(f19(c24,c27,f14(c28)),f14(c28)),f11(c24)),
inference(spm,[status(thm)],[c_0_28,c_0_16]) ).
cnf(c_0_33,negated_conjecture,
( ~ p5(X1,X3)
| p12(f13(X1,X2),f13(X3,X2)) ),
inference(spm,[status(thm)],[c_0_29,c_0_14]) ).
cnf(c_0_34,negated_conjecture,
p5(f19(c24,c27,f14(c28)),f16(c27)),
inference(spm,[status(thm)],[c_0_18,c_0_30]) ).
cnf(c_0_35,negated_conjecture,
( ~ p10(f11(c24),X2)
| ~ p12(f13(f19(c24,c27,f14(c28)),f14(c28)),X1)
| p23(X1,X2) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_36,negated_conjecture,
p12(f13(f19(c24,c27,f14(c28)),X1),f13(f16(c27),X1)),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_37,negated_conjecture,
~ p23(f13(f16(c27),f14(c28)),f11(c24)),
inference(fof_simplification,[status(thm)],[not_p23_13]) ).
cnf(c_0_38,negated_conjecture,
( ~ p10(f11(c24),X1)
| p23(f13(f16(c27),f14(c28)),X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_39,negated_conjecture,
p10(X1,X1),
p10_1 ).
cnf(c_0_40,negated_conjecture,
~ p23(f13(f16(c27),f14(c28)),f11(c24)),
c_0_37 ).
cnf(c_0_41,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN631-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n010.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 11:11:10 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 10.72/1.90 % Version: 3.5.1
% 10.72/1.90 % Preprocessing class: FSMSSMSSSSSNFFN.
% 10.72/1.90 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.72/1.90 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 10.72/1.90 % Starting new_bool_3 with 300s (1) cores
% 10.72/1.90 % Starting new_bool_1 with 300s (1) cores
% 10.72/1.90 % Starting sh5l with 300s (1) cores
% 10.72/1.90 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 749501 completed with status 0
% 10.72/1.90 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 10.72/1.90 % Preprocessing class: FSMSSMSSSSSNFFN.
% 10.72/1.90 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.72/1.90 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 10.72/1.90 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 10.72/1.90 % No SInE strategy applied
% 10.72/1.90 % Search class: FHUNM-FFMF31-SFFFFFNN
% 10.72/1.90 % partial match(1): FHUNM-FFMF21-SFFFFFNN
% 10.72/1.90 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 10.72/1.90 % Starting SubtermCWHack with 136s (1) cores
% 10.72/1.90 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 10.72/1.90 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 10.72/1.90 % Starting G-E--_107_C09_12_F1_PI_AE_Q4_CS_SP_PS_S064A with 136s (1) cores
% 10.72/1.90 % Starting new_bool_3 with 136s (1) cores
% 10.72/1.90 % G-E--_107_C09_12_F1_PI_AE_Q4_CS_SP_PS_S064A with pid 749508 completed with status 0
% 10.72/1.90 % Result found by G-E--_107_C09_12_F1_PI_AE_Q4_CS_SP_PS_S064A
% 10.72/1.90 % Preprocessing class: FSMSSMSSSSSNFFN.
% 10.72/1.90 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.72/1.90 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 10.72/1.90 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 10.72/1.90 % No SInE strategy applied
% 10.72/1.90 % Search class: FHUNM-FFMF31-SFFFFFNN
% 10.72/1.90 % partial match(1): FHUNM-FFMF21-SFFFFFNN
% 10.72/1.90 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 10.72/1.90 % Starting SubtermCWHack with 136s (1) cores
% 10.72/1.90 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 10.72/1.90 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 10.72/1.90 % Starting G-E--_107_C09_12_F1_PI_AE_Q4_CS_SP_PS_S064A with 136s (1) cores
% 10.72/1.90 % Preprocessing time : 0.002 s
% 10.72/1.90 % Presaturation interreduction done
% 10.72/1.90
% 10.72/1.90 % Proof found!
% 10.72/1.90 % SZS status Unsatisfiable
% 10.72/1.90 % SZS output start CNFRefutation
% See solution above
% 10.72/1.90 % Parsed axioms : 38
% 10.72/1.90 % Removed by relevancy pruning/SinE : 0
% 10.72/1.90 % Initial clauses : 38
% 10.72/1.90 % Removed in clause preprocessing : 0
% 10.72/1.90 % Initial clauses in saturation : 38
% 10.72/1.90 % Processed clauses : 2687
% 10.72/1.90 % ...of these trivial : 798
% 10.72/1.90 % ...subsumed : 0
% 10.72/1.90 % ...remaining for further processing : 1889
% 10.72/1.90 % Other redundant clauses eliminated : 0
% 10.72/1.90 % Clauses deleted for lack of memory : 0
% 10.72/1.90 % Backward-subsumed : 0
% 10.72/1.90 % Backward-rewritten : 22
% 10.72/1.90 % Generated clauses : 177537
% 10.72/1.90 % ...of the previous two non-redundant : 174854
% 10.72/1.90 % ...aggressively subsumed : 0
% 10.72/1.90 % Contextual simplify-reflections : 0
% 10.72/1.90 % Paramodulations : 177537
% 10.72/1.90 % Factorizations : 0
% 10.72/1.90 % NegExts : 0
% 10.72/1.90 % Equation resolutions : 0
% 10.72/1.90 % Disequality decompositions : 0
% 10.72/1.90 % Total rewrite steps : 3503
% 10.72/1.90 % ...of those cached : 1594
% 10.72/1.90 % Propositional unsat checks : 0
% 10.72/1.90 % Propositional check models : 0
% 10.72/1.90 % Propositional check unsatisfiable : 0
% 10.72/1.90 % Propositional clauses : 0
% 10.72/1.90 % Propositional clauses after purity: 0
% 10.72/1.90 % Propositional unsat core size : 0
% 10.72/1.90 % Propositional preprocessing time : 0.000
% 10.72/1.90 % Propositional encoding time : 0.000
% 10.72/1.90 % Propositional solver time : 0.000
% 10.72/1.90 % Success case prop preproc time : 0.000
% 10.72/1.90 % Success case prop encoding time : 0.000
% 10.72/1.90 % Success case prop solver time : 0.000
% 10.72/1.90 % Current number of processed clauses : 1829
% 10.72/1.90 % Positive orientable unit clauses : 1371
% 10.72/1.90 % Positive unorientable unit clauses: 0
% 10.72/1.90 % Negative unit clauses : 1
% 10.72/1.90 % Non-unit-clauses : 457
% 10.72/1.90 % Current number of unprocessed clauses: 172201
% 10.72/1.90 % ...number of literals in the above : 223204
% 11.37/1.90 % Current number of archived formulas : 0
% 11.37/1.90 % Current number of archived clauses : 60
% 11.37/1.90 % Clause-clause subsumption calls (NU) : 21055
% 11.37/1.90 % Rec. Clause-clause subsumption calls : 18266
% 11.37/1.90 % Non-unit clause-clause subsumptions : 0
% 11.37/1.90 % Unit Clause-clause subsumption calls : 3707
% 11.37/1.90 % Rewrite failures with RHS unbound : 0
% 11.37/1.90 % BW rewrite match attempts : 20196
% 11.37/1.90 % BW rewrite match successes : 22
% 11.37/1.90 % Condensation attempts : 0
% 11.37/1.90 % Condensation successes : 0
% 11.37/1.90 % Termbank termtop insertions : 3423720
% 11.37/1.90 % Search garbage collected termcells : 118
% 11.37/1.90
% 11.37/1.90 % -------------------------------------------------
% 11.37/1.90 % User time : 1.241 s
% 11.37/1.90 % System time : 0.111 s
% 11.37/1.90 % Total time : 1.353 s
% 11.37/1.90 % Maximum resident set size: 3672 pages
% 11.37/1.90
% 11.37/1.90 % -------------------------------------------------
% 11.37/1.90 % User time : 6.583 s
% 11.37/1.90 % System time : 0.437 s
% 11.37/1.90 % Total time : 7.020 s
% 11.37/1.90 % Maximum resident set size: 4608 pages
% 11.37/1.90 % E exiting
%------------------------------------------------------------------------------