%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ANA020-1 : 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 : n011.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 0.15s 6.00s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 14
% Syntax : Number of clauses : 52 ( 22 unt; 0 nHn; 43 RR)
% Number of literals : 91 ( 12 equ; 44 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 49 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
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/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__less__imp__le_0) ).
cnf(cls_conjecture_1,negated_conjecture,
c_less(c_0,v_c,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(clsrel_Orderings_Olinorder_4,axiom,
( ~ class_Orderings_Olinorder(X1)
| class_Orderings_Oorder(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsrel_Orderings_Olinorder_4) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_33,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_33) ).
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/sandbox2/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_50) ).
cnf(tfree_tcs,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
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/sandbox2/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_40) ).
cnf(cls_OrderedGroup_Oabs__idempotent_0,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| c_HOL_Oabs(c_HOL_Oabs(X2,X1),X1) = c_HOL_Oabs(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oabs__idempotent_0) ).
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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(cls_OrderedGroup_Oabs__0__eq_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| c_0 = c_HOL_Oabs(c_0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oabs__0__eq_1) ).
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/sandbox2/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/sandbox2/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oabs__ge__zero_0) ).
cnf(cls_conjecture_3,negated_conjecture,
v_x = c_0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_conjecture_0,negated_conjecture,
v_f(c_0) = c_0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c_0_14,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_15,plain,
( ~ c_less(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| c_lessequals(X2,X3,X1) ),
c_0_14 ).
cnf(c_0_16,negated_conjecture,
c_less(c_0,v_c,t_a),
cls_conjecture_1 ).
cnf(c_0_17,plain,
( ~ class_Orderings_Olinorder(X1)
| class_Orderings_Oorder(X1) ),
inference(fof_simplification,[status(thm)],[clsrel_Orderings_Olinorder_4]) ).
cnf(c_0_18,plain,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Orderings_Olinorder(X1) ),
inference(fof_simplification,[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_33]) ).
cnf(c_0_19,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_20,negated_conjecture,
( ~ class_Orderings_Oorder(t_a)
| c_lessequals(c_0,v_c,t_a) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_21,plain,
( ~ class_Orderings_Olinorder(X1)
| class_Orderings_Oorder(X1) ),
c_0_17 ).
cnf(c_0_22,plain,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Orderings_Olinorder(X1) ),
c_0_18 ).
cnf(c_0_23,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_a),
tfree_tcs ).
cnf(c_0_24,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_25,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| c_HOL_Oabs(c_HOL_Oabs(X2,X1),X1) = c_HOL_Oabs(X2,X1) ),
inference(fof_simplification,[status(thm)],[cls_OrderedGroup_Oabs__idempotent_0]) ).
cnf(c_0_26,plain,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_OrderedGroup_Olordered__ab__group__abs(X1) ),
c_0_19 ).
cnf(c_0_27,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_28,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| c_0 = c_HOL_Oabs(c_0,X1) ),
inference(fof_simplification,[status(thm)],[cls_OrderedGroup_Oabs__0__eq_1]) ).
cnf(c_0_29,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_30,negated_conjecture,
( ~ class_Orderings_Olinorder(t_a)
| c_lessequals(c_0,v_c,t_a) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_31,negated_conjecture,
class_Orderings_Olinorder(t_a),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_32,plain,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
c_0_24 ).
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,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| c_HOL_Oabs(c_HOL_Oabs(X2,X1),X1) = c_HOL_Oabs(X2,X1) ),
c_0_25 ).
cnf(c_0_35,negated_conjecture,
class_OrderedGroup_Olordered__ab__group__abs(t_a),
inference(spm,[status(thm)],[c_0_26,c_0_23]) ).
cnf(c_0_36,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_27 ).
cnf(c_0_37,negated_conjecture,
v_x = c_0,
cls_conjecture_3 ).
cnf(c_0_38,negated_conjecture,
v_f(c_0) = c_0,
cls_conjecture_0 ).
cnf(c_0_39,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| c_0 = c_HOL_Oabs(c_0,X1) ),
c_0_28 ).
cnf(c_0_40,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_29 ).
cnf(c_0_41,negated_conjecture,
c_lessequals(c_0,v_c,t_a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_31])]) ).
cnf(c_0_42,negated_conjecture,
class_Ring__and__Field_Opordered__cancel__semiring(t_a),
inference(spm,[status(thm)],[c_0_32,c_0_23]) ).
cnf(c_0_43,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| c_lessequals(c_0,c_HOL_Oabs(X2,X1),X1) ),
c_0_33 ).
cnf(c_0_44,negated_conjecture,
c_HOL_Oabs(c_HOL_Oabs(X1,t_a),t_a) = c_HOL_Oabs(X1,t_a),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_45,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_36,c_0_37]),c_0_38]),c_0_37]) ).
cnf(c_0_46,negated_conjecture,
c_HOL_Oabs(c_0,t_a) = c_0,
inference(spm,[status(thm)],[c_0_39,c_0_35]) ).
cnf(c_0_47,negated_conjecture,
( ~ c_lessequals(c_0,X1,t_a)
| c_lessequals(c_0,c_times(v_c,X1,t_a),t_a) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42])]) ).
cnf(c_0_48,negated_conjecture,
c_lessequals(c_0,c_HOL_Oabs(X1,t_a),t_a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_35])]) ).
cnf(c_0_49,negated_conjecture,
~ c_lessequals(c_0,c_times(v_c,c_HOL_Oabs(v_h(c_0),t_a),t_a),t_a),
inference(rw,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_50,negated_conjecture,
c_lessequals(c_0,c_times(v_c,c_HOL_Oabs(X1,t_a),t_a),t_a),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_51,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_50])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ANA020-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/5.38 % Computer : n011.cluster.edu
% 0.09/5.38 % Model : x86_64 x86_64
% 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38 % Memory : 8046.5625MB
% 0.09/5.38 % OS : Linux 6.8.0-71-generic
% 0.09/5.38 % CPULimit : 300
% 0.09/5.38 % WCLimit : 300
% 0.09/5.38 % DateTime : Mon Sep 21 13:24:16 UTC 2026
% 0.09/5.38 % CPUTime :
% 0.09/5.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/5.42 Running first-order theorem proving
% 0.15/5.42 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
% 0.15/6.00 % Version: 3.5.1
% 0.15/6.00 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.15/6.00 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/6.00 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/6.00 % Starting new_bool_3 with 300s (1) cores
% 0.15/6.00 % Starting new_bool_1 with 300s (1) cores
% 0.15/6.00 % Starting sh5l with 300s (1) cores
% 0.15/6.00 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2006861 completed with status 0
% 0.15/6.00 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.15/6.00 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.15/6.00 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/6.00 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/6.00 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/6.00 % No SInE strategy applied
% 0.15/6.00 % Search class: FGHSM-SMLM32-DFFFFFNN
% 0.15/6.00 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/6.00 % Starting SubtermCWHack with 136s (1) cores
% 0.15/6.00 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.15/6.00 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 113s (1) cores
% 0.15/6.00 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 113s (1) cores
% 0.15/6.00 % Starting G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 0.15/6.00 % G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with pid 2006870 completed with status 0
% 0.15/6.00 % Result found by G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI
% 0.15/6.00 % Preprocessing class: FMLMSMSMSSSNFFN.
% 0.15/6.00 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/6.00 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/6.00 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/6.00 % No SInE strategy applied
% 0.15/6.00 % Search class: FGHSM-SMLM32-DFFFFFNN
% 0.15/6.00 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/6.00 % Starting SubtermCWHack with 136s (1) cores
% 0.15/6.00 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.15/6.00 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 113s (1) cores
% 0.15/6.00 % Preprocessing time : 0.017 s
% 0.15/6.00
% 0.15/6.00 % Proof found!
% 0.15/6.00 % SZS status Unsatisfiable
% 0.15/6.00 % SZS output start CNFRefutation
% See solution above
% 0.15/6.00 % Parsed axioms : 2791
% 0.15/6.00 % Removed by relevancy pruning/SinE : 0
% 0.15/6.00 % Initial clauses : 2791
% 0.15/6.00 % Removed in clause preprocessing : 9
% 0.15/6.00 % Initial clauses in saturation : 2782
% 0.15/6.00 % Processed clauses : 3400
% 0.15/6.00 % ...of these trivial : 135
% 0.15/6.00 % ...subsumed : 360
% 0.15/6.00 % ...remaining for further processing : 2905
% 0.15/6.00 % Other redundant clauses eliminated : 71
% 0.15/6.00 % Clauses deleted for lack of memory : 0
% 0.15/6.00 % Backward-subsumed : 7
% 0.15/6.00 % Backward-rewritten : 49
% 0.15/6.00 % Generated clauses : 15814
% 0.15/6.00 % ...of the previous two non-redundant : 13127
% 0.15/6.00 % ...aggressively subsumed : 0
% 0.15/6.00 % Contextual simplify-reflections : 1
% 0.15/6.00 % Paramodulations : 15681
% 0.15/6.00 % Factorizations : 5
% 0.15/6.00 % NegExts : 0
% 0.15/6.00 % Equation resolutions : 128
% 0.15/6.00 % Disequality decompositions : 0
% 0.15/6.00 % Total rewrite steps : 8127
% 0.15/6.00 % ...of those cached : 6904
% 0.15/6.00 % Propositional unsat checks : 0
% 0.15/6.00 % Propositional check models : 0
% 0.15/6.00 % Propositional check unsatisfiable : 0
% 0.15/6.00 % Propositional clauses : 0
% 0.15/6.00 % Propositional clauses after purity: 0
% 0.15/6.00 % Propositional unsat core size : 0
% 0.15/6.00 % Propositional preprocessing time : 0.000
% 0.15/6.00 % Propositional encoding time : 0.000
% 0.15/6.00 % Propositional solver time : 0.000
% 0.15/6.00 % Success case prop preproc time : 0.000
% 0.15/6.00 % Success case prop encoding time : 0.000
% 0.15/6.00 % Success case prop solver time : 0.000
% 0.15/6.00 % Current number of processed clauses : 2849
% 0.15/6.00 % Positive orientable unit clauses : 684
% 0.15/6.00 % Positive unorientable unit clauses: 8
% 0.15/6.00 % Negative unit clauses : 56
% 0.15/6.00 % Non-unit-clauses : 2101
% 0.15/6.00 % Current number of unprocessed clauses: 12498
% 0.15/6.00 % ...number of literals in the above : 30183
% 0.15/6.00 % Current number of archived formulas : 0
% 0.15/6.00 % Current number of archived clauses : 64
% 0.15/6.00 % Clause-clause subsumption calls (NU) : 1662690
% 0.15/6.00 % Rec. Clause-clause subsumption calls : 959178
% 0.15/6.00 % Non-unit clause-clause subsumptions : 199
% 0.15/6.00 % Unit Clause-clause subsumption calls : 131484
% 0.15/6.00 % Rewrite failures with RHS unbound : 0
% 0.15/6.00 % BW rewrite match attempts : 732
% 0.15/6.00 % BW rewrite match successes : 41
% 0.15/6.00 % Condensation attempts : 0
% 0.15/6.00 % Condensation successes : 0
% 0.15/6.00 % Termbank termtop insertions : 309308
% 0.15/6.00 % Search garbage collected termcells : 4072
% 0.15/6.00
% 0.15/6.00 % -------------------------------------------------
% 0.15/6.00 % User time : 0.471 s
% 0.15/6.00 % System time : 0.025 s
% 0.15/6.00 % Total time : 0.496 s
% 0.15/6.00 % Maximum resident set size: 8504 pages
% 0.15/6.00
% 0.15/6.00 % -------------------------------------------------
% 0.15/6.00 % User time : 2.203 s
% 0.15/6.00 % System time : 0.098 s
% 0.15/6.00 % Total time : 2.301 s
% 0.15/6.00 % Maximum resident set size: 6656 pages
% 0.15/6.00 % E exiting
%------------------------------------------------------------------------------