%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : COL124-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 12:09:42 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.66s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of clauses : 11 ( 7 unt; 0 nHn; 9 RR)
% Number of literals : 18 ( 0 equ; 12 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-4 aty)
% Number of variables : 20 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Comb_OK__contractE_0,axiom,
~ c_in(c_Pair(c_Comb_Ocomb_OK,X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
file('/export/starexec/sandbox2/benchmark/Axioms/COL002-0.ax',cls_Comb_OK__contractE_0) ).
cnf(cls_conjecture_1,negated_conjecture,
( ~ c_in(c_Pair(X2,X3,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(X2,X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| c_in(c_Pair(X1,v_x(X2,X3,X1),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_Comb_Ocontract_OK_0,axiom,
c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,X1),X2),X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
file('/export/starexec/sandbox2/benchmark/Axioms/COL002-0.ax',cls_Comb_Ocontract_OK_0) ).
cnf(c_0_3,plain,
~ c_in(c_Pair(c_Comb_Ocomb_OK,X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
inference(fof_simplification,[status(thm)],[cls_Comb_OK__contractE_0]) ).
cnf(c_0_4,negated_conjecture,
( ~ c_in(c_Pair(X2,X3,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(X2,X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| c_in(c_Pair(X1,v_x(X2,X3,X1),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
inference(fof_simplification,[status(thm)],[cls_conjecture_1]) ).
cnf(c_0_5,plain,
~ c_in(c_Pair(c_Comb_Ocomb_OK,X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
c_0_3 ).
cnf(c_0_6,negated_conjecture,
( ~ c_in(c_Pair(X2,X3,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(X2,X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| c_in(c_Pair(X1,v_x(X2,X3,X1),tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
c_0_4 ).
cnf(c_0_7,negated_conjecture,
( ~ c_in(c_Pair(X1,X2,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb))
| ~ c_in(c_Pair(X1,c_Comb_Ocomb_OK,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_8,axiom,
c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,X1),X2),X1,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
cls_Comb_Ocontract_OK_0 ).
cnf(c_0_9,negated_conjecture,
~ c_in(c_Pair(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_Oop_A_D_D(c_Comb_Ocomb_OK,c_Comb_Ocomb_OK),X1),X2,tc_Comb_Ocomb,tc_Comb_Ocomb),c_Comb_Ocontract,tc_prod(tc_Comb_Ocomb,tc_Comb_Ocomb)),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_10,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_9,c_0_8]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COL124-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.57 % Computer : n003.cluster.edu
% 0.10/0.57 % Model : x86_64 x86_64
% 0.10/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.57 % Memory : 8046.5625MB
% 0.10/0.57 % OS : Linux 6.8.0-71-generic
% 0.10/0.57 % CPULimit : 300
% 0.10/0.57 % WCLimit : 300
% 0.10/0.57 % DateTime : Mon Sep 21 14:14:02 UTC 2026
% 0.10/0.57 % CPUTime :
% 0.10/0.57 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.62 Running first-order theorem proving
% 0.10/0.62 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 0.15/0.66 % Version: 3.5.1
% 0.15/0.66 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.15/0.66 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.66 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.66 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.66 % Starting new_bool_1 with 300s (1) cores
% 0.15/0.66 % Starting sh5l with 300s (1) cores
% 0.15/0.66 % new_bool_3 with pid 318483 completed with status 0
% 0.15/0.66 % Result found by new_bool_3
% 0.15/0.66 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.15/0.66 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.66 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.66 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.66 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.15/0.66 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.66 % Search class: FHUSF-FFSF32-MFFFFFNN
% 0.15/0.66 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.66 % Starting SubtermCWHack with 31s (1) cores
% 0.15/0.66 % SubtermCWHack with pid 318486 completed with status 0
% 0.15/0.66 % Result found by SubtermCWHack
% 0.15/0.66 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.15/0.66 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.66 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.66 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.66 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.15/0.66 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.66 % Search class: FHUSF-FFSF32-MFFFFFNN
% 0.15/0.66 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.66 % Starting SubtermCWHack with 31s (1) cores
% 0.15/0.66 % Preprocessing time : 0.003 s
% 0.15/0.66
% 0.15/0.66 % Proof found!
% 0.15/0.66 % SZS status Unsatisfiable
% 0.15/0.66 % SZS output start CNFRefutation
% See solution above
% 0.15/0.66 % Parsed axioms : 1389
% 0.15/0.66 % Removed by relevancy pruning/SinE : 1377
% 0.15/0.66 % Initial clauses : 12
% 0.15/0.66 % Removed in clause preprocessing : 0
% 0.15/0.66 % Initial clauses in saturation : 12
% 0.15/0.66 % Processed clauses : 13
% 0.15/0.66 % ...of these trivial : 0
% 0.15/0.66 % ...subsumed : 1
% 0.15/0.66 % ...remaining for further processing : 12
% 0.15/0.66 % Other redundant clauses eliminated : 0
% 0.15/0.66 % Clauses deleted for lack of memory : 0
% 0.15/0.66 % Backward-subsumed : 0
% 0.15/0.66 % Backward-rewritten : 0
% 0.15/0.66 % Generated clauses : 10
% 0.15/0.66 % ...of the previous two non-redundant : 5
% 0.15/0.66 % ...aggressively subsumed : 0
% 0.15/0.66 % Contextual simplify-reflections : 0
% 0.15/0.66 % Paramodulations : 6
% 0.15/0.66 % Factorizations : 0
% 0.15/0.66 % NegExts : 0
% 0.15/0.66 % Equation resolutions : 4
% 0.15/0.66 % Disequality decompositions : 0
% 0.15/0.66 % Total rewrite steps : 0
% 0.15/0.66 % ...of those cached : 0
% 0.15/0.66 % Propositional unsat checks : 0
% 0.15/0.66 % Propositional check models : 0
% 0.15/0.66 % Propositional check unsatisfiable : 0
% 0.15/0.66 % Propositional clauses : 0
% 0.15/0.66 % Propositional clauses after purity: 0
% 0.15/0.66 % Propositional unsat core size : 0
% 0.15/0.66 % Propositional preprocessing time : 0.000
% 0.15/0.66 % Propositional encoding time : 0.000
% 0.15/0.66 % Propositional solver time : 0.000
% 0.15/0.66 % Success case prop preproc time : 0.000
% 0.15/0.66 % Success case prop encoding time : 0.000
% 0.15/0.66 % Success case prop solver time : 0.000
% 0.15/0.66 % Current number of processed clauses : 12
% 0.15/0.66 % Positive orientable unit clauses : 1
% 0.15/0.66 % Positive unorientable unit clauses: 0
% 0.15/0.66 % Negative unit clauses : 3
% 0.15/0.66 % Non-unit-clauses : 8
% 0.15/0.66 % Current number of unprocessed clauses: 1
% 0.15/0.66 % ...number of literals in the above : 3
% 0.15/0.66 % Current number of archived formulas : 0
% 0.15/0.66 % Current number of archived clauses : 0
% 0.15/0.66 % Clause-clause subsumption calls (NU) : 8
% 0.15/0.66 % Rec. Clause-clause subsumption calls : 8
% 0.15/0.66 % Non-unit clause-clause subsumptions : 0
% 0.15/0.66 % Unit Clause-clause subsumption calls : 0
% 0.15/0.66 % Rewrite failures with RHS unbound : 0
% 0.15/0.66 % BW rewrite match attempts : 0
% 0.15/0.66 % BW rewrite match successes : 0
% 0.15/0.66 % Condensation attempts : 0
% 0.15/0.66 % Condensation successes : 0
% 0.15/0.66 % Termbank termtop insertions : 8734
% 0.15/0.66 % Search garbage collected termcells : 2813
% 0.15/0.66
% 0.15/0.66 % -------------------------------------------------
% 0.15/0.66 % User time : 0.006 s
% 0.15/0.66 % System time : 0.006 s
% 0.15/0.66 % Total time : 0.012 s
% 0.15/0.66 % Maximum resident set size: 4632 pages
% 0.15/0.66
% 0.15/0.66 % -------------------------------------------------
% 0.15/0.66 % User time : 0.029 s
% 0.15/0.66 % System time : 0.010 s
% 0.15/0.66 % Total time : 0.038 s
% 0.15/0.66 % Maximum resident set size: 5632 pages
% 0.15/0.66 % E exiting
%------------------------------------------------------------------------------