%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ANA028-1 : 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 12:02:48 PM UTC 2026
% Result : Unsatisfiable 12.19s 2.35s
% Output : CNFRefutation 12.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 13
% Syntax : Number of clauses : 49 ( 18 unt; 4 nHn; 33 RR)
% Number of literals : 92 ( 7 equ; 49 neg)
% Maximal clause size : 3 ( 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; 2 con; 0-3 aty)
% Number of variables : 72 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clsrel_Ring__and__Field_Oordered__idom_4,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_OrderedGroup_Oab__group__add(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_4) ).
cnf(cls_conjecture_3,negated_conjecture,
~ c_lessequals(c_minus(v_f(v_x),v_k(v_x),t_b),c_minus(v_f(v_x),v_g(v_x),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_OrderedGroup_Oab__group__add__class_Odiff__minus_0,axiom,
( ~ class_OrderedGroup_Oab__group__add(X1)
| c_minus(X2,X3,X1) = c_plus(X2,c_uminus(X3,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oab__group__add__class_Odiff__minus_0) ).
cnf(tfree_tcs,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_37,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_37) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_33,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_33) ).
cnf(cls_OrderedGroup_Oadd__le__cancel__left_1,axiom,
( ~ c_lessequals(X2,X3,X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| c_lessequals(c_plus(X4,X2,X1),c_plus(X4,X3,X1),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oadd__le__cancel__left_1) ).
cnf(cls_Orderings_Olinorder__not__le_0,axiom,
( ~ class_Orderings_Olinorder(X1)
| c_lessequals(X3,X2,X1)
| c_less(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Olinorder__not__le_0) ).
cnf(cls_OrderedGroup_Ominus__minus_0,axiom,
( ~ class_OrderedGroup_Oab__group__add(X1)
| c_uminus(c_uminus(X2,X1),X1) = X2 ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Ominus__minus_0) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_54,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_OrderedGroup_Opordered__ab__group__add(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_54) ).
cnf(cls_Orderings_Olinorder__not__le_1,axiom,
( ~ c_lessequals(X3,X2,X1)
| ~ c_less(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Olinorder__not__le_1) ).
cnf(cls_OrderedGroup_Oneg__less__iff__less_1,axiom,
( ~ c_less(X2,X3,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| c_less(c_uminus(X3,X1),c_uminus(X2,X1),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oneg__less__iff__less_1) ).
cnf(cls_conjecture_1,negated_conjecture,
c_lessequals(v_g(X1),v_k(X1),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(c_0_13,plain,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_OrderedGroup_Oab__group__add(X1) ),
inference(fof_simplification,[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_4]) ).
cnf(c_0_14,negated_conjecture,
~ c_lessequals(c_minus(v_f(v_x),v_k(v_x),t_b),c_minus(v_f(v_x),v_g(v_x),t_b),t_b),
inference(fof_simplification,[status(thm)],[cls_conjecture_3]) ).
cnf(c_0_15,plain,
( ~ class_OrderedGroup_Oab__group__add(X1)
| c_minus(X2,X3,X1) = c_plus(X2,c_uminus(X3,X1),X1) ),
inference(fof_simplification,[status(thm)],[cls_OrderedGroup_Oab__group__add__class_Odiff__minus_0]) ).
cnf(c_0_16,plain,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_OrderedGroup_Oab__group__add(X1) ),
c_0_13 ).
cnf(c_0_17,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
tfree_tcs ).
cnf(c_0_18,negated_conjecture,
~ c_lessequals(c_minus(v_f(v_x),v_k(v_x),t_b),c_minus(v_f(v_x),v_g(v_x),t_b),t_b),
c_0_14 ).
cnf(c_0_19,plain,
( ~ class_OrderedGroup_Oab__group__add(X1)
| c_minus(X2,X3,X1) = c_plus(X2,c_uminus(X3,X1),X1) ),
c_0_15 ).
cnf(c_0_20,negated_conjecture,
class_OrderedGroup_Oab__group__add(t_b),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,plain,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
inference(fof_simplification,[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_37]) ).
cnf(c_0_22,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_23,negated_conjecture,
~ c_lessequals(c_minus(v_f(v_x),v_k(v_x),t_b),c_plus(v_f(v_x),c_uminus(v_g(v_x),t_b),t_b),t_b),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20])]) ).
cnf(c_0_24,plain,
( ~ c_lessequals(X2,X3,X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| c_lessequals(c_plus(X4,X2,X1),c_plus(X4,X3,X1),X1) ),
inference(fof_simplification,[status(thm)],[cls_OrderedGroup_Oadd__le__cancel__left_1]) ).
cnf(c_0_25,plain,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
c_0_21 ).
cnf(c_0_26,plain,
( ~ class_Orderings_Olinorder(X1)
| c_lessequals(X3,X2,X1)
| c_less(X2,X3,X1) ),
inference(fof_simplification,[status(thm)],[cls_Orderings_Olinorder__not__le_0]) ).
cnf(c_0_27,plain,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Orderings_Olinorder(X1) ),
c_0_22 ).
cnf(c_0_28,negated_conjecture,
~ c_lessequals(c_plus(v_f(v_x),c_uminus(v_k(v_x),t_b),t_b),c_plus(v_f(v_x),c_uminus(v_g(v_x),t_b),t_b),t_b),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_19]),c_0_20])]) ).
cnf(c_0_29,plain,
( ~ c_lessequals(X2,X3,X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| c_lessequals(c_plus(X4,X2,X1),c_plus(X4,X3,X1),X1) ),
c_0_24 ).
cnf(c_0_30,negated_conjecture,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(t_b),
inference(spm,[status(thm)],[c_0_25,c_0_17]) ).
cnf(c_0_31,plain,
( ~ class_Orderings_Olinorder(X1)
| c_lessequals(X3,X2,X1)
| c_less(X2,X3,X1) ),
c_0_26 ).
cnf(c_0_32,negated_conjecture,
class_Orderings_Olinorder(t_b),
inference(spm,[status(thm)],[c_0_27,c_0_17]) ).
cnf(c_0_33,plain,
( ~ class_OrderedGroup_Oab__group__add(X1)
| c_uminus(c_uminus(X2,X1),X1) = X2 ),
inference(fof_simplification,[status(thm)],[cls_OrderedGroup_Ominus__minus_0]) ).
cnf(c_0_34,plain,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_OrderedGroup_Opordered__ab__group__add(X1) ),
inference(fof_simplification,[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_54]) ).
cnf(c_0_35,plain,
( ~ c_lessequals(X3,X2,X1)
| ~ c_less(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1) ),
inference(fof_simplification,[status(thm)],[cls_Orderings_Olinorder__not__le_1]) ).
cnf(c_0_36,plain,
( ~ c_less(X2,X3,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| c_less(c_uminus(X3,X1),c_uminus(X2,X1),X1) ),
inference(fof_simplification,[status(thm)],[cls_OrderedGroup_Oneg__less__iff__less_1]) ).
cnf(c_0_37,negated_conjecture,
~ c_lessequals(c_uminus(v_k(v_x),t_b),c_uminus(v_g(v_x),t_b),t_b),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30])]) ).
cnf(c_0_38,negated_conjecture,
( c_lessequals(X2,X1,t_b)
| c_less(X1,X2,t_b) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_39,plain,
( ~ class_OrderedGroup_Oab__group__add(X1)
| c_uminus(c_uminus(X2,X1),X1) = X2 ),
c_0_33 ).
cnf(c_0_40,plain,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_OrderedGroup_Opordered__ab__group__add(X1) ),
c_0_34 ).
cnf(c_0_41,plain,
( ~ c_lessequals(X3,X2,X1)
| ~ c_less(X2,X3,X1)
| ~ class_Orderings_Olinorder(X1) ),
c_0_35 ).
cnf(c_0_42,negated_conjecture,
c_lessequals(v_g(X1),v_k(X1),t_b),
cls_conjecture_1 ).
cnf(c_0_43,plain,
( ~ c_less(X2,X3,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| c_less(c_uminus(X3,X1),c_uminus(X2,X1),X1) ),
c_0_36 ).
cnf(c_0_44,negated_conjecture,
c_less(c_uminus(v_g(v_x),t_b),c_uminus(v_k(v_x),t_b),t_b),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_45,negated_conjecture,
c_uminus(c_uminus(X1,t_b),t_b) = X1,
inference(spm,[status(thm)],[c_0_39,c_0_20]) ).
cnf(c_0_46,negated_conjecture,
class_OrderedGroup_Opordered__ab__group__add(t_b),
inference(spm,[status(thm)],[c_0_40,c_0_17]) ).
cnf(c_0_47,negated_conjecture,
~ c_less(v_k(X1),v_g(X1),t_b),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_32])]) ).
cnf(c_0_48,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45]),c_0_45]),c_0_46])]),c_0_47]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ANA028-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % 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 13:20:14 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.24/0.48 Running first-order theorem proving
% 0.24/0.48 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
% 12.19/2.35 % Version: 3.5.1
% 12.19/2.35 % Preprocessing class: FMLMSMSMSSSNFFN.
% 12.19/2.35 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 12.19/2.35 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 12.19/2.35 % Starting new_bool_3 with 300s (1) cores
% 12.19/2.35 % Starting new_bool_1 with 300s (1) cores
% 12.19/2.35 % Starting sh5l with 300s (1) cores
% 12.19/2.35 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2404592 completed with status 0
% 12.19/2.35 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 12.19/2.35 % Preprocessing class: FMLMSMSMSSSNFFN.
% 12.19/2.35 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 12.19/2.35 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 12.19/2.35 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 12.19/2.35 % No SInE strategy applied
% 12.19/2.35 % Search class: FGHSM-SMLM32-DFFFFFNN
% 12.19/2.35 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 12.19/2.35 % Starting SubtermCWHack with 136s (1) cores
% 12.19/2.35 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 12.19/2.35 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 113s (1) cores
% 12.19/2.35 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 113s (1) cores
% 12.19/2.35 % Starting G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 12.19/2.35 % G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 2404627 completed with status 0
% 12.19/2.35 % Result found by G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 12.19/2.35 % Preprocessing class: FMLMSMSMSSSNFFN.
% 12.19/2.35 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 12.19/2.35 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 12.19/2.35 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 12.19/2.35 % No SInE strategy applied
% 12.19/2.35 % Search class: FGHSM-SMLM32-DFFFFFNN
% 12.19/2.35 % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 12.19/2.35 % Starting SubtermCWHack with 136s (1) cores
% 12.19/2.35 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 12.19/2.35 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 113s (1) cores
% 12.19/2.35 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 113s (1) cores
% 12.19/2.35 % Starting G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 12.19/2.35 % Preprocessing time : 0.032 s
% 12.19/2.35 % Presaturation interreduction done
% 12.19/2.35
% 12.19/2.35 % Proof found!
% 12.19/2.35 % SZS status Unsatisfiable
% 12.19/2.35 % SZS output start CNFRefutation
% See solution above
% 12.19/2.36 % Parsed axioms : 2809
% 12.19/2.36 % Removed by relevancy pruning/SinE : 0
% 12.19/2.36 % Initial clauses : 2809
% 12.19/2.36 % Removed in clause preprocessing : 9
% 12.19/2.36 % Initial clauses in saturation : 2800
% 12.19/2.36 % Processed clauses : 12420
% 12.19/2.36 % ...of these trivial : 110
% 12.19/2.36 % ...subsumed : 5553
% 12.19/2.36 % ...remaining for further processing : 6757
% 12.19/2.36 % Other redundant clauses eliminated : 105
% 12.19/2.36 % Clauses deleted for lack of memory : 0
% 12.19/2.36 % Backward-subsumed : 70
% 12.19/2.36 % Backward-rewritten : 619
% 12.19/2.36 % Generated clauses : 25389
% 12.19/2.36 % ...of the previous two non-redundant : 21927
% 12.19/2.36 % ...aggressively subsumed : 0
% 12.19/2.36 % Contextual simplify-reflections : 19
% 12.19/2.36 % Paramodulations : 25238
% 12.19/2.36 % Factorizations : 2
% 12.19/2.36 % NegExts : 0
% 12.19/2.36 % Equation resolutions : 149
% 12.19/2.36 % Disequality decompositions : 0
% 12.19/2.36 % Total rewrite steps : 16558
% 12.19/2.36 % ...of those cached : 14785
% 12.19/2.36 % Propositional unsat checks : 1
% 12.19/2.36 % Propositional check models : 1
% 12.19/2.36 % Propositional check unsatisfiable : 0
% 12.19/2.36 % Propositional clauses : 0
% 12.19/2.36 % Propositional clauses after purity: 0
% 12.19/2.36 % Propositional unsat core size : 0
% 12.19/2.36 % Propositional preprocessing time : 0.000
% 12.19/2.36 % Propositional encoding time : 0.012
% 12.19/2.36 % Propositional solver time : 0.015
% 12.19/2.36 % Success case prop preproc time : 0.000
% 12.19/2.36 % Success case prop encoding time : 0.000
% 12.19/2.36 % Success case prop solver time : 0.000
% 12.19/2.36 % Current number of processed clauses : 3393
% 12.19/2.36 % Positive orientable unit clauses : 794
% 12.19/2.36 % Positive unorientable unit clauses: 18
% 12.19/2.36 % Negative unit clauses : 496
% 12.19/2.36 % Non-unit-clauses : 2085
% 12.19/2.36 % Current number of unprocessed clauses: 14499
% 12.19/2.36 % ...number of literals in the above : 32212
% 12.19/2.36 % Current number of archived formulas : 0
% 12.19/2.36 % Current number of archived clauses : 3372
% 12.19/2.36 % Clause-clause subsumption calls (NU) : 3852349
% 12.19/2.36 % Rec. Clause-clause subsumption calls : 2832155
% 12.19/2.36 % Non-unit clause-clause subsumptions : 3323
% 12.19/2.36 % Unit Clause-clause subsumption calls : 149405
% 12.19/2.36 % Rewrite failures with RHS unbound : 0
% 12.19/2.36 % BW rewrite match attempts : 1618
% 12.19/2.36 % BW rewrite match successes : 136
% 12.19/2.36 % Condensation attempts : 0
% 12.19/2.36 % Condensation successes : 0
% 12.19/2.36 % Termbank termtop insertions : 465112
% 12.19/2.36 % Search garbage collected termcells : 4116
% 12.19/2.36
% 12.19/2.36 % -------------------------------------------------
% 12.19/2.36 % User time : 1.700 s
% 12.19/2.36 % System time : 0.057 s
% 12.19/2.36 % Total time : 1.757 s
% 12.19/2.36 % Maximum resident set size: 8776 pages
% 12.19/2.36
% 12.19/2.36 % -------------------------------------------------
% 12.19/2.36 % User time : 8.364 s
% 12.19/2.36 % System time : 0.287 s
% 12.19/2.36 % Total time : 8.652 s
% 12.19/2.36 % Maximum resident set size: 6656 pages
% 12.19/2.36 % E exiting
%------------------------------------------------------------------------------