%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN098-1.002 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 03:23:07 PM UTC 2026
% Result : Unsatisfiable 0.26s 0.57s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 14
% Syntax : Number of clauses : 48 ( 9 unt; 15 nHn; 48 RR)
% Number of literals : 108 ( 0 equ; 50 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 14 ( 13 usr; 14 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(u_16_t3_3,axiom,
( ~ u_16
| q_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_16_t3_3) ).
cnf(u_14_t3_1,axiom,
( ~ u_14
| p_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_14_t3_1) ).
cnf(u_s3_goal_1,negated_conjecture,
( ~ q_0
| ~ p_0
| u_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_goal_1) ).
cnf(u_1_s3_goal_1,axiom,
~ u_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_1_s3_goal_1) ).
cnf(u_s3_type12_1,axiom,
( ~ q_2
| ~ p_1
| q_0
| u_6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type12_1) ).
cnf(u_t3_3,axiom,
( q_2
| u_16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_t3_3) ).
cnf(u_6_s3_type12_1,axiom,
( ~ u_6
| q_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_6_s3_type12_1) ).
cnf(u_s3_type11_1,axiom,
( ~ p_2
| ~ p_1
| p_0
| u_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type11_1) ).
cnf(u_t3_1,axiom,
( p_2
| u_14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_t3_1) ).
cnf(u_2_s3_type11_1,axiom,
( ~ u_2
| p_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_2_s3_type11_1) ).
cnf(u_15_t3_2,axiom,
( ~ u_15
| p_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_15_t3_2) ).
cnf(u_s3_type11_3,axiom,
( ~ p_3
| ~ p_2
| p_1
| u_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type11_3) ).
cnf(u_t3_2,axiom,
( p_3
| u_15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_t3_2) ).
cnf(u_4_s3_type11_3,axiom,
( ~ u_4
| p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_4_s3_type11_3) ).
cnf(c_0_14,plain,
( ~ u_16
| q_2 ),
inference(fof_simplification,[status(thm)],[u_16_t3_3]) ).
cnf(c_0_15,plain,
( ~ u_14
| p_2 ),
inference(fof_simplification,[status(thm)],[u_14_t3_1]) ).
cnf(c_0_16,negated_conjecture,
( ~ q_0
| ~ p_0
| u_1 ),
inference(fof_simplification,[status(thm)],[u_s3_goal_1]) ).
cnf(c_0_17,plain,
~ u_1,
inference(fof_simplification,[status(thm)],[u_1_s3_goal_1]) ).
cnf(c_0_18,plain,
( ~ q_2
| ~ p_1
| q_0
| u_6 ),
inference(fof_simplification,[status(thm)],[u_s3_type12_1]) ).
cnf(c_0_19,plain,
( ~ u_16
| q_2 ),
c_0_14 ).
cnf(c_0_20,axiom,
( q_2
| u_16 ),
u_t3_3 ).
cnf(c_0_21,plain,
( ~ u_6
| q_0 ),
inference(fof_simplification,[status(thm)],[u_6_s3_type12_1]) ).
cnf(c_0_22,plain,
( ~ p_2
| ~ p_1
| p_0
| u_2 ),
inference(fof_simplification,[status(thm)],[u_s3_type11_1]) ).
cnf(c_0_23,plain,
( ~ u_14
| p_2 ),
c_0_15 ).
cnf(c_0_24,axiom,
( p_2
| u_14 ),
u_t3_1 ).
cnf(c_0_25,plain,
( ~ u_2
| p_0 ),
inference(fof_simplification,[status(thm)],[u_2_s3_type11_1]) ).
cnf(c_0_26,plain,
( ~ u_15
| p_3 ),
inference(fof_simplification,[status(thm)],[u_15_t3_2]) ).
cnf(c_0_27,negated_conjecture,
( ~ q_0
| ~ p_0
| u_1 ),
c_0_16 ).
cnf(c_0_28,plain,
~ u_1,
c_0_17 ).
cnf(c_0_29,plain,
( ~ q_2
| ~ p_1
| q_0
| u_6 ),
c_0_18 ).
cnf(c_0_30,plain,
q_2,
inference(csr,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_31,plain,
( ~ u_6
| q_0 ),
c_0_21 ).
cnf(c_0_32,plain,
( ~ p_2
| ~ p_1
| p_0
| u_2 ),
c_0_22 ).
cnf(c_0_33,plain,
p_2,
inference(csr,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_34,plain,
( ~ u_2
| p_0 ),
c_0_25 ).
cnf(c_0_35,plain,
( ~ p_3
| ~ p_2
| p_1
| u_4 ),
inference(fof_simplification,[status(thm)],[u_s3_type11_3]) ).
cnf(c_0_36,plain,
( ~ u_15
| p_3 ),
c_0_26 ).
cnf(c_0_37,axiom,
( p_3
| u_15 ),
u_t3_2 ).
cnf(c_0_38,negated_conjecture,
( ~ p_0
| ~ q_0 ),
inference(sr,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_39,plain,
( ~ p_1
| q_0 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_30])]),c_0_31]) ).
cnf(c_0_40,plain,
( ~ p_1
| p_0 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_33])]),c_0_34]) ).
cnf(c_0_41,plain,
( ~ u_4
| p_1 ),
inference(fof_simplification,[status(thm)],[u_4_s3_type11_3]) ).
cnf(c_0_42,plain,
( ~ p_3
| ~ p_2
| p_1
| u_4 ),
c_0_35 ).
cnf(c_0_43,plain,
p_3,
inference(csr,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_44,negated_conjecture,
~ p_1,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40]) ).
cnf(c_0_45,plain,
( ~ u_4
| p_1 ),
c_0_41 ).
cnf(c_0_46,plain,
u_4,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_33]),c_0_43])]),c_0_44]) ).
cnf(c_0_47,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_46])]),c_0_44]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN098-1.002 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.19/0.44 % Computer : n004.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Mon Sep 21 10:43:19 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.45 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.26/0.51 Running first-order theorem proving
% 0.26/0.51 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
% 0.26/0.57 % Version: 3.5.1
% 0.26/0.57 % Preprocessing class: FSMSSLSSSSSNFFN.
% 0.26/0.57 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.26/0.57 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 1500s (5) cores
% 0.26/0.57 % Starting new_bool_3 with 300s (1) cores
% 0.26/0.57 % Starting new_bool_1 with 300s (1) cores
% 0.26/0.57 % Starting sh5l with 300s (1) cores
% 0.26/0.57 % sh5l with pid 2940661 completed with status 0
% 0.26/0.57 % Result found by sh5l
% 0.26/0.57 % Preprocessing class: FSMSSLSSSSSNFFN.
% 0.26/0.57 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.26/0.57 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 1500s (5) cores
% 0.26/0.57 % Starting new_bool_3 with 300s (1) cores
% 0.26/0.57 % Starting new_bool_1 with 300s (1) cores
% 0.26/0.57 % Starting sh5l with 300s (1) cores
% 0.26/0.57 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.26/0.57 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.26/0.57 % Search class: FGUNF-FFSS00-SFFFFFNN
% 0.26/0.57 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.26/0.57 % Starting SubtermCWHack with 31s (1) cores
% 0.26/0.57 % SubtermCWHack with pid 2940672 completed with status 0
% 0.26/0.57 % Result found by SubtermCWHack
% 0.26/0.57 % Preprocessing class: FSMSSLSSSSSNFFN.
% 0.26/0.57 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.26/0.57 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 1500s (5) cores
% 0.26/0.57 % Starting new_bool_3 with 300s (1) cores
% 0.26/0.57 % Starting new_bool_1 with 300s (1) cores
% 0.26/0.57 % Starting sh5l with 300s (1) cores
% 0.26/0.57 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.26/0.57 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.26/0.57 % Search class: FGUNF-FFSS00-SFFFFFNN
% 0.26/0.57 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.26/0.57 % Starting SubtermCWHack with 31s (1) cores
% 0.26/0.57 % Preprocessing time : 0.002 s
% 0.26/0.57
% 0.26/0.57 % Proof found!
% 0.26/0.57 % SZS status Unsatisfiable
% 0.26/0.57 % SZS output start CNFRefutation
% See solution above
% 0.26/0.57 % Parsed axioms : 68
% 0.26/0.57 % Removed by relevancy pruning/SinE : 34
% 0.26/0.57 % Initial clauses : 34
% 0.26/0.57 % Removed in clause preprocessing : 0
% 0.26/0.57 % Initial clauses in saturation : 34
% 0.26/0.57 % Processed clauses : 33
% 0.26/0.57 % ...of these trivial : 2
% 0.26/0.57 % ...subsumed : 0
% 0.26/0.57 % ...remaining for further processing : 31
% 0.26/0.57 % Other redundant clauses eliminated : 0
% 0.26/0.57 % Clauses deleted for lack of memory : 0
% 0.26/0.57 % Backward-subsumed : 4
% 0.26/0.57 % Backward-rewritten : 9
% 0.26/0.57 % Generated clauses : 2
% 0.26/0.57 % ...of the previous two non-redundant : 2
% 0.26/0.57 % ...aggressively subsumed : 0
% 0.26/0.57 % Contextual simplify-reflections : 12
% 0.26/0.57 % Paramodulations : 2
% 0.26/0.57 % Factorizations : 0
% 0.26/0.57 % NegExts : 0
% 0.26/0.57 % Equation resolutions : 0
% 0.26/0.57 % Disequality decompositions : 0
% 0.26/0.57 % Total rewrite steps : 19
% 0.26/0.57 % ...of those cached : 12
% 0.26/0.57 % Propositional unsat checks : 0
% 0.26/0.57 % Propositional check models : 0
% 0.26/0.57 % Propositional check unsatisfiable : 0
% 0.26/0.57 % Propositional clauses : 0
% 0.26/0.57 % Propositional clauses after purity: 0
% 0.26/0.57 % Propositional unsat core size : 0
% 0.26/0.57 % Propositional preprocessing time : 0.000
% 0.26/0.57 % Propositional encoding time : 0.000
% 0.26/0.57 % Propositional solver time : 0.000
% 0.26/0.57 % Success case prop preproc time : 0.000
% 0.26/0.57 % Success case prop encoding time : 0.000
% 0.26/0.57 % Success case prop solver time : 0.000
% 0.26/0.57 % Current number of processed clauses : 18
% 0.26/0.57 % Positive orientable unit clauses : 7
% 0.26/0.57 % Positive unorientable unit clauses: 0
% 0.26/0.57 % Negative unit clauses : 3
% 0.26/0.57 % Non-unit-clauses : 8
% 0.26/0.57 % Current number of unprocessed clauses: 3
% 0.26/0.57 % ...number of literals in the above : 12
% 0.26/0.57 % Current number of archived formulas : 0
% 0.26/0.57 % Current number of archived clauses : 13
% 0.26/0.57 % Clause-clause subsumption calls (NU) : 55
% 0.26/0.57 % Rec. Clause-clause subsumption calls : 55
% 0.26/0.57 % Non-unit clause-clause subsumptions : 12
% 0.26/0.57 % Unit Clause-clause subsumption calls : 13
% 0.26/0.57 % Rewrite failures with RHS unbound : 0
% 0.26/0.57 % BW rewrite match attempts : 7
% 0.26/0.57 % BW rewrite match successes : 7
% 0.26/0.57 % Condensation attempts : 0
% 0.26/0.57 % Condensation successes : 0
% 0.26/0.57 % Termbank termtop insertions : 1035
% 0.26/0.57 % Search garbage collected termcells : 196
% 0.26/0.57
% 0.26/0.57 % -------------------------------------------------
% 0.26/0.57 % User time : 0.006 s
% 0.26/0.57 % System time : 0.002 s
% 0.26/0.57 % Total time : 0.008 s
% 0.26/0.57 % Maximum resident set size: 3676 pages
% 0.26/0.57
% 0.26/0.57 % -------------------------------------------------
% 0.26/0.57 % User time : 0.009 s
% 0.26/0.57 % System time : 0.008 s
% 0.26/0.57 % Total time : 0.017 s
% 0.26/0.57 % Maximum resident set size: 4608 pages
% 0.26/0.57 % E exiting
%------------------------------------------------------------------------------