%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : KRS001-1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 01:01:17 PM UTC 2026
% Result : Unsatisfiable 0.17s 0.54s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of clauses : 33 ( 5 unt; 0 nHn; 33 RR)
% Number of literals : 69 ( 0 equ; 40 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 35 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_10,axiom,
( ~ r(X3,X2)
| ~ r(X3,X1)
| ~ r1most(X3)
| equalish(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_10) ).
cnf(clause_5,axiom,
( ~ r2least(X1)
| r(X1,u1r1(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
cnf(clause_2,axiom,
( ~ c(X1)
| r2least(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
cnf(clause_15,axiom,
( ~ e(X1)
| c(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_15) ).
cnf(clause_8,axiom,
( ~ d(X1)
| r1most(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8) ).
cnf(clause_14,axiom,
( ~ e(X1)
| d(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_14) ).
cnf(clause_4,axiom,
( ~ equalish(u1r2(X1),u1r1(X1))
| ~ r2least(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
cnf(clause_6,axiom,
( ~ r2least(X1)
| r(X1,u1r2(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
cnf(clause_1,negated_conjecture,
e(exist),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
cnf(c_0_9,plain,
( ~ r(X3,X2)
| ~ r(X3,X1)
| ~ r1most(X3)
| equalish(X1,X2) ),
inference(fof_simplification,[status(thm)],[clause_10]) ).
cnf(c_0_10,plain,
( ~ r2least(X1)
| r(X1,u1r1(X1)) ),
inference(fof_simplification,[status(thm)],[clause_5]) ).
cnf(c_0_11,plain,
( ~ c(X1)
| r2least(X1) ),
inference(fof_simplification,[status(thm)],[clause_2]) ).
cnf(c_0_12,plain,
( ~ e(X1)
| c(X1) ),
inference(fof_simplification,[status(thm)],[clause_15]) ).
cnf(c_0_13,plain,
( ~ d(X1)
| r1most(X1) ),
inference(fof_simplification,[status(thm)],[clause_8]) ).
cnf(c_0_14,plain,
( ~ e(X1)
| d(X1) ),
inference(fof_simplification,[status(thm)],[clause_14]) ).
cnf(c_0_15,plain,
( ~ equalish(u1r2(X1),u1r1(X1))
| ~ r2least(X1) ),
inference(fof_simplification,[status(thm)],[clause_4]) ).
cnf(c_0_16,plain,
( ~ r(X3,X2)
| ~ r(X3,X1)
| ~ r1most(X3)
| equalish(X1,X2) ),
c_0_9 ).
cnf(c_0_17,plain,
( ~ r2least(X1)
| r(X1,u1r1(X1)) ),
c_0_10 ).
cnf(c_0_18,plain,
( ~ r2least(X1)
| r(X1,u1r2(X1)) ),
inference(fof_simplification,[status(thm)],[clause_6]) ).
cnf(c_0_19,plain,
( ~ c(X1)
| r2least(X1) ),
c_0_11 ).
cnf(c_0_20,plain,
( ~ e(X1)
| c(X1) ),
c_0_12 ).
cnf(c_0_21,plain,
( ~ d(X1)
| r1most(X1) ),
c_0_13 ).
cnf(c_0_22,plain,
( ~ e(X1)
| d(X1) ),
c_0_14 ).
cnf(c_0_23,plain,
( ~ equalish(u1r2(X1),u1r1(X1))
| ~ r2least(X1) ),
c_0_15 ).
cnf(c_0_24,plain,
( ~ r2least(X2)
| ~ r(X2,X1)
| ~ r1most(X2)
| equalish(X1,u1r1(X2)) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_25,plain,
( ~ r2least(X1)
| r(X1,u1r2(X1)) ),
c_0_18 ).
cnf(c_0_26,plain,
( ~ e(X1)
| r2least(X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_27,negated_conjecture,
e(exist),
clause_1 ).
cnf(c_0_28,plain,
( ~ e(X1)
| r1most(X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_29,plain,
( ~ r2least(X1)
| ~ r1most(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]) ).
cnf(c_0_30,negated_conjecture,
r2least(exist),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_31,negated_conjecture,
r1most(exist),
inference(spm,[status(thm)],[c_0_28,c_0_27]) ).
cnf(c_0_32,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS001-1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.06 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.39 % Computer : n008.cluster.edu
% 0.15/0.39 % Model : x86_64 x86_64
% 0.15/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.39 % Memory : 8046.5625MB
% 0.15/0.39 % OS : Linux 6.8.0-71-generic
% 0.15/0.39 % CPULimit : 300
% 0.15/0.39 % WCLimit : 300
% 0.15/0.39 % DateTime : Sun Sep 20 22:50:23 UTC 2026
% 0.15/0.39 % CPUTime :
% 0.15/0.39 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.49 Running first-order theorem proving
% 0.17/0.49 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
% 0.17/0.54 % Version: 3.5.1
% 0.17/0.54 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.17/0.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.54 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.17/0.54 % Starting new_bool_3 with 300s (1) cores
% 0.17/0.54 % Starting new_bool_1 with 300s (1) cores
% 0.17/0.54 % Starting sh5l with 300s (1) cores
% 0.17/0.54 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3767627 completed with status 0
% 0.17/0.54 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.17/0.54 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.17/0.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.54 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.17/0.54 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.17/0.54 % No SInE strategy applied
% 0.17/0.54 % Search class: FGHNF-FFSF11-SFFFFFNN
% 0.17/0.54 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.54 % Starting SubtermCWHack with 136s (1) cores
% 0.17/0.54 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.17/0.54 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.17/0.54 % Starting new_bool_3 with 136s (1) cores
% 0.17/0.54 % Starting new_bool_1 with 136s (1) cores
% 0.17/0.54 % SubtermCWHack with pid 3767631 completed with status 0
% 0.17/0.54 % Result found by SubtermCWHack
% 0.17/0.54 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.17/0.54 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.54 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.17/0.54 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.17/0.54 % No SInE strategy applied
% 0.17/0.54 % Search class: FGHNF-FFSF11-SFFFFFNN
% 0.17/0.54 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.54 % Starting SubtermCWHack with 136s (1) cores
% 0.17/0.54 % Preprocessing time : 0.002 s
% 0.17/0.54
% 0.17/0.54 % Proof found!
% 0.17/0.54 % SZS status Unsatisfiable
% 0.17/0.54 % SZS output start CNFRefutation
% See solution above
% 0.17/0.54 % Parsed axioms : 16
% 0.17/0.54 % Removed by relevancy pruning/SinE : 0
% 0.17/0.54 % Initial clauses : 16
% 0.17/0.54 % Removed in clause preprocessing : 0
% 0.17/0.54 % Initial clauses in saturation : 16
% 0.17/0.54 % Processed clauses : 27
% 0.17/0.54 % ...of these trivial : 0
% 0.17/0.54 % ...subsumed : 1
% 0.17/0.54 % ...remaining for further processing : 26
% 0.17/0.54 % Other redundant clauses eliminated : 0
% 0.17/0.54 % Clauses deleted for lack of memory : 0
% 0.17/0.54 % Backward-subsumed : 3
% 0.17/0.54 % Backward-rewritten : 0
% 0.17/0.54 % Generated clauses : 24
% 0.17/0.54 % ...of the previous two non-redundant : 12
% 0.17/0.54 % ...aggressively subsumed : 0
% 0.17/0.54 % Contextual simplify-reflections : 2
% 0.17/0.54 % Paramodulations : 24
% 0.17/0.54 % Factorizations : 0
% 0.17/0.54 % NegExts : 0
% 0.17/0.54 % Equation resolutions : 0
% 0.17/0.54 % Disequality decompositions : 0
% 0.17/0.54 % Total rewrite steps : 1
% 0.17/0.54 % ...of those cached : 0
% 0.17/0.54 % Propositional unsat checks : 0
% 0.17/0.54 % Propositional check models : 0
% 0.17/0.54 % Propositional check unsatisfiable : 0
% 0.17/0.54 % Propositional clauses : 0
% 0.17/0.54 % Propositional clauses after purity: 0
% 0.17/0.54 % Propositional unsat core size : 0
% 0.17/0.54 % Propositional preprocessing time : 0.000
% 0.17/0.54 % Propositional encoding time : 0.000
% 0.17/0.54 % Propositional solver time : 0.000
% 0.17/0.54 % Success case prop preproc time : 0.000
% 0.17/0.54 % Success case prop encoding time : 0.000
% 0.17/0.54 % Success case prop solver time : 0.000
% 0.17/0.54 % Current number of processed clauses : 23
% 0.17/0.54 % Positive orientable unit clauses : 3
% 0.17/0.54 % Positive unorientable unit clauses: 0
% 0.17/0.54 % Negative unit clauses : 0
% 0.17/0.54 % Non-unit-clauses : 20
% 0.17/0.54 % Current number of unprocessed clauses: 1
% 0.17/0.54 % ...number of literals in the above : 4
% 0.17/0.54 % Current number of archived formulas : 0
% 0.17/0.54 % Current number of archived clauses : 3
% 0.17/0.54 % Clause-clause subsumption calls (NU) : 34
% 0.17/0.54 % Rec. Clause-clause subsumption calls : 28
% 0.17/0.54 % Non-unit clause-clause subsumptions : 6
% 0.17/0.54 % Unit Clause-clause subsumption calls : 4
% 0.17/0.54 % Rewrite failures with RHS unbound : 0
% 0.17/0.54 % BW rewrite match attempts : 0
% 0.17/0.54 % BW rewrite match successes : 0
% 0.17/0.54 % Condensation attempts : 0
% 0.17/0.54 % Condensation successes : 0
% 0.17/0.54 % Termbank termtop insertions : 715
% 0.17/0.54 % Search garbage collected termcells : 36
% 0.17/0.54
% 0.17/0.54 % -------------------------------------------------
% 0.17/0.54 % User time : 0.006 s
% 0.17/0.54 % System time : 0.003 s
% 0.17/0.54 % Total time : 0.009 s
% 0.17/0.54 % Maximum resident set size: 3640 pages
% 0.17/0.54
% 0.17/0.54 % -------------------------------------------------
% 0.17/0.54 % User time : 0.016 s
% 0.17/0.54 % System time : 0.013 s
% 0.17/0.54 % Total time : 0.029 s
% 0.17/0.54 % Maximum resident set size: 4608 pages
% 0.17/0.54 % E exiting
%------------------------------------------------------------------------------