%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ANA020-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 12:02:46 PM UTC 2026
% Result : Unsatisfiable 0.27s 0.56s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of clauses : 41 ( 16 unt; 0 nHn; 38 RR)
% Number of literals : 75 ( 8 equ; 42 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 37 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_4,negated_conjecture,
~ c_lessequals(c_HOL_Oabs(v_f(v_x),t_a),c_times(v_c,c_HOL_Oabs(v_h(v_x),t_a),t_a),t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(cls_OrderedGroup_Oabs__eq__0_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| c_HOL_Oabs(c_0,X1) = c_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__eq__0_1) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_50,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_OrderedGroup_Olordered__ab__group__abs(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).
cnf(cls_Orderings_Oorder__less__imp__le_0,axiom,
( ~ c_less(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__less__imp__le_0) ).
cnf(cls_conjecture_3,negated_conjecture,
v_x = c_0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_conjecture_0,negated_conjecture,
v_f(c_0) = c_0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
c_less(c_0,v_c,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_44,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Orderings_Oorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_44) ).
cnf(tfree_tcs,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
cnf(cls_Ring__and__Field_Omult__nonneg__nonneg_0,axiom,
( ~ c_lessequals(c_0,X3,X1)
| ~ c_lessequals(c_0,X2,X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
| c_lessequals(c_0,c_times(X3,X2,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Ring__and__Field_Omult__nonneg__nonneg_0) ).
cnf(cls_OrderedGroup_Oabs__ge__zero_0,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| c_lessequals(c_0,c_HOL_Oabs(X2,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__ge__zero_0) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_40,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_40) ).
cnf(c_0_12,negated_conjecture,
~ c_lessequals(c_HOL_Oabs(v_f(v_x),t_a),c_times(v_c,c_HOL_Oabs(v_h(v_x),t_a),t_a),t_a),
inference(fof_simplification,[status(thm)],[cls_conjecture_4]) ).
cnf(c_0_13,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| c_HOL_Oabs(c_0,X1) = c_0 ),
inference(fof_simplification,[status(thm)],[cls_OrderedGroup_Oabs__eq__0_1]) ).
cnf(c_0_14,plain,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_OrderedGroup_Olordered__ab__group__abs(X1) ),
inference(fof_simplification,[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_50]) ).
cnf(c_0_15,plain,
( ~ c_less(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| c_lessequals(X2,X3,X1) ),
inference(fof_simplification,[status(thm)],[cls_Orderings_Oorder__less__imp__le_0]) ).
cnf(c_0_16,negated_conjecture,
~ c_lessequals(c_HOL_Oabs(v_f(v_x),t_a),c_times(v_c,c_HOL_Oabs(v_h(v_x),t_a),t_a),t_a),
c_0_12 ).
cnf(c_0_17,negated_conjecture,
v_x = c_0,
cls_conjecture_3 ).
cnf(c_0_18,negated_conjecture,
v_f(c_0) = c_0,
cls_conjecture_0 ).
cnf(c_0_19,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| c_HOL_Oabs(c_0,X1) = c_0 ),
c_0_13 ).
cnf(c_0_20,plain,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_OrderedGroup_Olordered__ab__group__abs(X1) ),
c_0_14 ).
cnf(c_0_21,plain,
( ~ c_less(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| c_lessequals(X2,X3,X1) ),
c_0_15 ).
cnf(c_0_22,negated_conjecture,
c_less(c_0,v_c,t_a),
cls_conjecture_1 ).
cnf(c_0_23,plain,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Orderings_Oorder(X1) ),
inference(fof_simplification,[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_44]) ).
cnf(c_0_24,negated_conjecture,
~ c_lessequals(c_HOL_Oabs(c_0,t_a),c_times(v_c,c_HOL_Oabs(v_h(c_0),t_a),t_a),t_a),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17]),c_0_18]),c_0_17]) ).
cnf(c_0_25,plain,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| c_HOL_Oabs(c_0,X1) = c_0 ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_26,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_a),
tfree_tcs ).
cnf(c_0_27,plain,
( ~ c_lessequals(c_0,X3,X1)
| ~ c_lessequals(c_0,X2,X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
| c_lessequals(c_0,c_times(X3,X2,X1),X1) ),
inference(fof_simplification,[status(thm)],[cls_Ring__and__Field_Omult__nonneg__nonneg_0]) ).
cnf(c_0_28,negated_conjecture,
( ~ class_Orderings_Oorder(t_a)
| c_lessequals(c_0,v_c,t_a) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_29,plain,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Orderings_Oorder(X1) ),
c_0_23 ).
cnf(c_0_30,negated_conjecture,
~ c_lessequals(c_0,c_times(v_c,c_HOL_Oabs(v_h(c_0),t_a),t_a),t_a),
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,plain,
( ~ c_lessequals(c_0,X3,X1)
| ~ c_lessequals(c_0,X2,X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
| c_lessequals(c_0,c_times(X3,X2,X1),X1) ),
c_0_27 ).
cnf(c_0_32,negated_conjecture,
c_lessequals(c_0,v_c,t_a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_26])]) ).
cnf(c_0_33,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| c_lessequals(c_0,c_HOL_Oabs(X2,X1),X1) ),
inference(fof_simplification,[status(thm)],[cls_OrderedGroup_Oabs__ge__zero_0]) ).
cnf(c_0_34,negated_conjecture,
( ~ c_lessequals(c_0,c_HOL_Oabs(v_h(c_0),t_a),t_a)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(t_a) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32])]) ).
cnf(c_0_35,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| c_lessequals(c_0,c_HOL_Oabs(X2,X1),X1) ),
c_0_33 ).
cnf(c_0_36,plain,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
inference(fof_simplification,[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_40]) ).
cnf(c_0_37,negated_conjecture,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_a)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(t_a) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_38,plain,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
c_0_36 ).
cnf(c_0_39,negated_conjecture,
~ class_OrderedGroup_Olordered__ab__group__abs(t_a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_26])]) ).
cnf(c_0_40,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_20]),c_0_26])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ANA020-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.43 % Computer : n017.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Mon Sep 21 13:19:28 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.27/0.51 Running first-order theorem proving
% 0.27/0.51 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
% 0.27/0.56 % Version: 3.5.1
% 0.27/0.56 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.27/0.56 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.56 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.27/0.56 % Starting new_bool_3 with 300s (1) cores
% 0.27/0.56 % Starting new_bool_1 with 300s (1) cores
% 0.27/0.56 % Starting sh5l with 300s (1) cores
% 0.27/0.56 % new_bool_1 with pid 2402104 completed with status 0
% 0.27/0.56 % Result found by new_bool_1
% 0.27/0.56 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.27/0.56 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.56 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.27/0.56 % Starting new_bool_3 with 300s (1) cores
% 0.27/0.56 % Starting new_bool_1 with 300s (1) cores
% 0.27/0.56 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.27/0.56 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.27/0.56 % Search class: FHUSF-FFSS31-MFFFFFNN
% 0.27/0.56 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.27/0.56 % Starting SubtermCWHack with 31s (1) cores
% 0.27/0.56 % SubtermCWHack with pid 2402110 completed with status 0
% 0.27/0.56 % Result found by SubtermCWHack
% 0.27/0.56 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.27/0.56 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.56 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.27/0.56 % Starting new_bool_3 with 300s (1) cores
% 0.27/0.56 % Starting new_bool_1 with 300s (1) cores
% 0.27/0.56 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.27/0.56 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.27/0.56 % Search class: FHUSF-FFSS31-MFFFFFNN
% 0.27/0.56 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.27/0.56 % Starting SubtermCWHack with 31s (1) cores
% 0.27/0.56 % Preprocessing time : 0.002 s
% 0.27/0.56
% 0.27/0.56 % Proof found!
% 0.27/0.56 % SZS status Unsatisfiable
% 0.27/0.56 % SZS output start CNFRefutation
% See solution above
% 0.27/0.56 % Parsed axioms : 12
% 0.27/0.56 % Removed by relevancy pruning/SinE : 0
% 0.27/0.56 % Initial clauses : 12
% 0.27/0.56 % Removed in clause preprocessing : 0
% 0.27/0.56 % Initial clauses in saturation : 12
% 0.27/0.56 % Processed clauses : 20
% 0.27/0.56 % ...of these trivial : 0
% 0.27/0.56 % ...subsumed : 0
% 0.27/0.56 % ...remaining for further processing : 20
% 0.27/0.56 % Other redundant clauses eliminated : 0
% 0.27/0.56 % Clauses deleted for lack of memory : 0
% 0.27/0.56 % Backward-subsumed : 1
% 0.27/0.56 % Backward-rewritten : 1
% 0.27/0.56 % Generated clauses : 9
% 0.27/0.56 % ...of the previous two non-redundant : 8
% 0.27/0.56 % ...aggressively subsumed : 0
% 0.27/0.56 % Contextual simplify-reflections : 1
% 0.27/0.56 % Paramodulations : 9
% 0.27/0.56 % Factorizations : 0
% 0.27/0.56 % NegExts : 0
% 0.27/0.56 % Equation resolutions : 0
% 0.27/0.56 % Disequality decompositions : 0
% 0.27/0.56 % Total rewrite steps : 9
% 0.27/0.56 % ...of those cached : 5
% 0.27/0.56 % Propositional unsat checks : 0
% 0.27/0.56 % Propositional check models : 0
% 0.27/0.56 % Propositional check unsatisfiable : 0
% 0.27/0.56 % Propositional clauses : 0
% 0.27/0.56 % Propositional clauses after purity: 0
% 0.27/0.56 % Propositional unsat core size : 0
% 0.27/0.56 % Propositional preprocessing time : 0.000
% 0.27/0.56 % Propositional encoding time : 0.000
% 0.27/0.56 % Propositional solver time : 0.000
% 0.27/0.56 % Success case prop preproc time : 0.000
% 0.27/0.56 % Success case prop encoding time : 0.000
% 0.27/0.56 % Success case prop solver time : 0.000
% 0.27/0.56 % Current number of processed clauses : 18
% 0.27/0.56 % Positive orientable unit clauses : 5
% 0.27/0.56 % Positive unorientable unit clauses: 0
% 0.27/0.56 % Negative unit clauses : 3
% 0.27/0.56 % Non-unit-clauses : 10
% 0.27/0.56 % Current number of unprocessed clauses: 0
% 0.27/0.56 % ...number of literals in the above : 0
% 0.27/0.56 % Current number of archived formulas : 0
% 0.27/0.56 % Current number of archived clauses : 2
% 0.27/0.56 % Clause-clause subsumption calls (NU) : 3
% 0.27/0.56 % Rec. Clause-clause subsumption calls : 2
% 0.27/0.56 % Non-unit clause-clause subsumptions : 1
% 0.27/0.56 % Unit Clause-clause subsumption calls : 2
% 0.27/0.56 % Rewrite failures with RHS unbound : 0
% 0.27/0.56 % BW rewrite match attempts : 1
% 0.27/0.56 % BW rewrite match successes : 1
% 0.27/0.56 % Condensation attempts : 0
% 0.27/0.56 % Condensation successes : 0
% 0.27/0.56 % Termbank termtop insertions : 398
% 0.27/0.56 % Search garbage collected termcells : 23
% 0.27/0.56
% 0.27/0.56 % -------------------------------------------------
% 0.27/0.56 % User time : 0.004 s
% 0.27/0.56 % System time : 0.004 s
% 0.27/0.56 % Total time : 0.008 s
% 0.27/0.56 % Maximum resident set size: 3636 pages
% 0.27/0.56
% 0.27/0.56 % -------------------------------------------------
% 0.27/0.56 % User time : 0.005 s
% 0.27/0.56 % System time : 0.012 s
% 0.27/0.56 % Total time : 0.017 s
% 0.27/0.56 % Maximum resident set size: 4864 pages
% 0.27/0.56 % E exiting
%------------------------------------------------------------------------------