%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ANA014-2 : 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 : n018.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 12:02:45 PM UTC 2026
% Result : Unsatisfiable 0.24s 0.63s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of clauses : 49 ( 11 unt; 4 nHn; 30 RR)
% Number of literals : 93 ( 23 equ; 52 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 67 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_OrderedGroup_Omonoid__mult__class_Oaxioms__1_0,axiom,
( ~ class_OrderedGroup_Omonoid__mult(X1)
| c_times(c_1,X2,X1) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Omonoid__mult__class_Oaxioms__1_0) ).
cnf(clsrel_Ring__and__Field_Ofield_12,axiom,
( ~ class_Ring__and__Field_Ofield(X1)
| class_OrderedGroup_Omonoid__mult(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Ofield_12) ).
cnf(cls_conjecture_1,negated_conjecture,
~ c_lessequals(c_HOL_Oabs(v_f(v_x(X1)),t_a),c_times(X1,c_times(c_HOL_Oabs(v_c,t_a),c_HOL_Oabs(v_f(v_x(X1)),t_a),t_a),t_a),t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_Ring__and__Field_Oabs__mult_0,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| c_HOL_Oabs(c_times(X2,X3,X1),X1) = c_times(c_HOL_Oabs(X2,X1),c_HOL_Oabs(X3,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Ring__and__Field_Oabs__mult_0) ).
cnf(clsrel_Ring__and__Field_Oordered__field_0,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| class_Ring__and__Field_Ofield(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__field_0) ).
cnf(cls_OrderedGroup_Osemigroup__mult__class_Omult__assoc_0,axiom,
( ~ class_OrderedGroup_Osemigroup__mult(X1)
| c_times(c_times(X2,X3,X1),X4,X1) = c_times(X2,c_times(X3,X4,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Osemigroup__mult__class_Omult__assoc_0) ).
cnf(cls_Ring__and__Field_Ofield__class_Oaxioms__1_0,axiom,
( ~ class_Ring__and__Field_Ofield(X1)
| c_times(c_HOL_Oinverse(X2,X1),X2,X1) = c_1
| X2 = c_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Ring__and__Field_Ofield__class_Oaxioms__1_0) ).
cnf(clsrel_Ring__and__Field_Ofield_21,axiom,
( ~ class_Ring__and__Field_Ofield(X1)
| class_OrderedGroup_Osemigroup__mult(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Ofield_21) ).
cnf(tfree_tcs,negated_conjecture,
class_Ring__and__Field_Oordered__field(t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
cnf(cls_conjecture_0,negated_conjecture,
v_c != c_0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_Orderings_Oorder__class_Oaxioms__1_0,axiom,
( ~ class_Orderings_Oorder(X1)
| c_lessequals(X2,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oaxioms__1_0) ).
cnf(clsrel_Ring__and__Field_Oordered__field_34,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| class_Ring__and__Field_Oordered__idom(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__field_34) ).
cnf(clsrel_Ring__and__Field_Oordered__field_58,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| class_Orderings_Oorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__field_58) ).
cnf(c_0_13,plain,
( ~ class_OrderedGroup_Omonoid__mult(X1)
| c_times(c_1,X2,X1) = X2 ),
inference(fof_simplification,[status(thm)],[cls_OrderedGroup_Omonoid__mult__class_Oaxioms__1_0]) ).
cnf(c_0_14,plain,
( ~ class_Ring__and__Field_Ofield(X1)
| class_OrderedGroup_Omonoid__mult(X1) ),
inference(fof_simplification,[status(thm)],[clsrel_Ring__and__Field_Ofield_12]) ).
cnf(c_0_15,negated_conjecture,
~ c_lessequals(c_HOL_Oabs(v_f(v_x(X1)),t_a),c_times(X1,c_times(c_HOL_Oabs(v_c,t_a),c_HOL_Oabs(v_f(v_x(X1)),t_a),t_a),t_a),t_a),
inference(fof_simplification,[status(thm)],[cls_conjecture_1]) ).
cnf(c_0_16,plain,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| c_HOL_Oabs(c_times(X2,X3,X1),X1) = c_times(c_HOL_Oabs(X2,X1),c_HOL_Oabs(X3,X1),X1) ),
inference(fof_simplification,[status(thm)],[cls_Ring__and__Field_Oabs__mult_0]) ).
cnf(c_0_17,plain,
( ~ class_OrderedGroup_Omonoid__mult(X1)
| c_times(c_1,X2,X1) = X2 ),
c_0_13 ).
cnf(c_0_18,plain,
( ~ class_Ring__and__Field_Ofield(X1)
| class_OrderedGroup_Omonoid__mult(X1) ),
c_0_14 ).
cnf(c_0_19,plain,
( ~ class_Ring__and__Field_Oordered__field(X1)
| class_Ring__and__Field_Ofield(X1) ),
inference(fof_simplification,[status(thm)],[clsrel_Ring__and__Field_Oordered__field_0]) ).
cnf(c_0_20,negated_conjecture,
~ c_lessequals(c_HOL_Oabs(v_f(v_x(X1)),t_a),c_times(X1,c_times(c_HOL_Oabs(v_c,t_a),c_HOL_Oabs(v_f(v_x(X1)),t_a),t_a),t_a),t_a),
c_0_15 ).
cnf(c_0_21,plain,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| c_HOL_Oabs(c_times(X2,X3,X1),X1) = c_times(c_HOL_Oabs(X2,X1),c_HOL_Oabs(X3,X1),X1) ),
c_0_16 ).
cnf(c_0_22,plain,
( ~ class_OrderedGroup_Osemigroup__mult(X1)
| c_times(c_times(X2,X3,X1),X4,X1) = c_times(X2,c_times(X3,X4,X1),X1) ),
inference(fof_simplification,[status(thm)],[cls_OrderedGroup_Osemigroup__mult__class_Omult__assoc_0]) ).
cnf(c_0_23,plain,
( ~ class_Ring__and__Field_Ofield(X1)
| c_times(c_HOL_Oinverse(X2,X1),X2,X1) = c_1
| X2 = c_0 ),
inference(fof_simplification,[status(thm)],[cls_Ring__and__Field_Ofield__class_Oaxioms__1_0]) ).
cnf(c_0_24,plain,
( ~ class_Ring__and__Field_Ofield(X1)
| class_OrderedGroup_Osemigroup__mult(X1) ),
inference(fof_simplification,[status(thm)],[clsrel_Ring__and__Field_Ofield_21]) ).
cnf(c_0_25,plain,
( ~ class_Ring__and__Field_Ofield(X2)
| c_times(c_1,X1,X2) = X1 ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_26,plain,
( ~ class_Ring__and__Field_Oordered__field(X1)
| class_Ring__and__Field_Ofield(X1) ),
c_0_19 ).
cnf(c_0_27,negated_conjecture,
( ~ c_lessequals(c_HOL_Oabs(v_f(v_x(X1)),t_a),c_times(X1,c_HOL_Oabs(c_times(v_c,v_f(v_x(X1)),t_a),t_a),t_a),t_a)
| ~ class_Ring__and__Field_Oordered__idom(t_a) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_28,plain,
( ~ class_OrderedGroup_Osemigroup__mult(X1)
| c_times(c_times(X2,X3,X1),X4,X1) = c_times(X2,c_times(X3,X4,X1),X1) ),
c_0_22 ).
cnf(c_0_29,plain,
( ~ class_Ring__and__Field_Ofield(X1)
| c_times(c_HOL_Oinverse(X2,X1),X2,X1) = c_1
| X2 = c_0 ),
c_0_23 ).
cnf(c_0_30,plain,
( ~ class_Ring__and__Field_Ofield(X1)
| class_OrderedGroup_Osemigroup__mult(X1) ),
c_0_24 ).
cnf(c_0_31,plain,
( ~ class_Ring__and__Field_Oordered__field(X2)
| c_times(c_1,X1,X2) = X1 ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_32,negated_conjecture,
class_Ring__and__Field_Oordered__field(t_a),
tfree_tcs ).
cnf(c_0_33,negated_conjecture,
v_c != c_0,
inference(fof_simplification,[status(thm)],[cls_conjecture_0]) ).
cnf(c_0_34,negated_conjecture,
( ~ c_lessequals(c_HOL_Oabs(v_f(v_x(c_HOL_Oabs(X1,t_a))),t_a),c_HOL_Oabs(c_times(X1,c_times(v_c,v_f(v_x(c_HOL_Oabs(X1,t_a))),t_a),t_a),t_a),t_a)
| ~ class_Ring__and__Field_Oordered__idom(t_a) ),
inference(spm,[status(thm)],[c_0_27,c_0_21]) ).
cnf(c_0_35,plain,
( ~ class_Ring__and__Field_Ofield(X2)
| X1 = c_0
| c_times(c_HOL_Oinverse(X1,X2),c_times(X1,X3,X2),X2) = c_times(c_1,X3,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]) ).
cnf(c_0_36,negated_conjecture,
c_times(c_1,X1,t_a) = X1,
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_37,negated_conjecture,
v_c != c_0,
c_0_33 ).
cnf(c_0_38,plain,
( ~ class_Orderings_Oorder(X1)
| c_lessequals(X2,X2,X1) ),
inference(fof_simplification,[status(thm)],[cls_Orderings_Oorder__class_Oaxioms__1_0]) ).
cnf(c_0_39,negated_conjecture,
( ~ c_lessequals(c_HOL_Oabs(v_f(v_x(c_HOL_Oabs(c_HOL_Oinverse(v_c,t_a),t_a))),t_a),c_HOL_Oabs(v_f(v_x(c_HOL_Oabs(c_HOL_Oinverse(v_c,t_a),t_a))),t_a),t_a)
| ~ class_Ring__and__Field_Oordered__idom(t_a)
| ~ class_Ring__and__Field_Ofield(t_a) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]),c_0_37]) ).
cnf(c_0_40,plain,
( ~ class_Orderings_Oorder(X1)
| c_lessequals(X2,X2,X1) ),
c_0_38 ).
cnf(c_0_41,plain,
( ~ class_Ring__and__Field_Oordered__field(X1)
| class_Ring__and__Field_Oordered__idom(X1) ),
inference(fof_simplification,[status(thm)],[clsrel_Ring__and__Field_Oordered__field_34]) ).
cnf(c_0_42,negated_conjecture,
( ~ class_Orderings_Oorder(t_a)
| ~ class_Ring__and__Field_Oordered__idom(t_a)
| ~ class_Ring__and__Field_Ofield(t_a) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_43,plain,
( ~ class_Ring__and__Field_Oordered__field(X1)
| class_Ring__and__Field_Oordered__idom(X1) ),
c_0_41 ).
cnf(c_0_44,plain,
( ~ class_Ring__and__Field_Oordered__field(X1)
| class_Orderings_Oorder(X1) ),
inference(fof_simplification,[status(thm)],[clsrel_Ring__and__Field_Oordered__field_58]) ).
cnf(c_0_45,negated_conjecture,
( ~ class_Orderings_Oorder(t_a)
| ~ class_Ring__and__Field_Ofield(t_a) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_32])]) ).
cnf(c_0_46,plain,
( ~ class_Ring__and__Field_Oordered__field(X1)
| class_Orderings_Oorder(X1) ),
c_0_44 ).
cnf(c_0_47,negated_conjecture,
~ class_Ring__and__Field_Ofield(t_a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_32])]) ).
cnf(c_0_48,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_26]),c_0_32])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : ANA014-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.19/0.46 % Computer : n018.cluster.edu
% 0.19/0.46 % Model : x86_64 x86_64
% 0.19/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.46 % Memory : 8046.5625MB
% 0.19/0.46 % OS : Linux 6.8.0-71-generic
% 0.19/0.46 % CPULimit : 300
% 0.19/0.46 % WCLimit : 300
% 0.19/0.46 % DateTime : Mon Sep 21 13:26:00 UTC 2026
% 0.19/0.46 % CPUTime :
% 0.19/0.46 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.24/0.55 Running first-order theorem proving
% 0.24/0.55 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
% 0.24/0.63 % Version: 3.5.1
% 0.24/0.63 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.24/0.63 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.63 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.24/0.63 % Starting new_bool_3 with 300s (1) cores
% 0.24/0.63 % Starting new_bool_1 with 300s (1) cores
% 0.24/0.63 % Starting sh5l with 300s (1) cores
% 0.24/0.63 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1991468 completed with status 0
% 0.24/0.63 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.24/0.63 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.24/0.63 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.63 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.24/0.63 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.24/0.63 % No SInE strategy applied
% 0.24/0.63 % Search class: FGUSF-FFSF31-MFFFFFNN
% 0.24/0.63 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.24/0.63 % Starting SubtermCWHack with 136s (1) cores
% 0.24/0.63 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.24/0.63 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.24/0.63 % Starting new_bool_3 with 136s (1) cores
% 0.24/0.63 % Starting new_bool_1 with 136s (1) cores
% 0.24/0.63 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with pid 1991474 completed with status 0
% 0.24/0.63 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y
% 0.24/0.63 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.24/0.63 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.63 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.24/0.63 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.24/0.63 % No SInE strategy applied
% 0.24/0.63 % Search class: FGUSF-FFSF31-MFFFFFNN
% 0.24/0.63 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.24/0.63 % Starting SubtermCWHack with 136s (1) cores
% 0.24/0.63 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.24/0.63 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.24/0.63 % Preprocessing time : 0.002 s
% 0.24/0.63 % Presaturation interreduction done
% 0.24/0.63
% 0.24/0.63 % Proof found!
% 0.24/0.63 % SZS status Unsatisfiable
% 0.24/0.63 % SZS output start CNFRefutation
% See solution above
% 0.24/0.63 % Parsed axioms : 13
% 0.24/0.63 % Removed by relevancy pruning/SinE : 0
% 0.24/0.63 % Initial clauses : 13
% 0.24/0.63 % Removed in clause preprocessing : 0
% 0.24/0.63 % Initial clauses in saturation : 13
% 0.24/0.63 % Processed clauses : 88
% 0.24/0.63 % ...of these trivial : 0
% 0.24/0.63 % ...subsumed : 23
% 0.24/0.63 % ...remaining for further processing : 65
% 0.24/0.63 % Other redundant clauses eliminated : 0
% 0.24/0.63 % Clauses deleted for lack of memory : 0
% 0.24/0.63 % Backward-subsumed : 11
% 0.24/0.63 % Backward-rewritten : 1
% 0.24/0.63 % Generated clauses : 249
% 0.24/0.63 % ...of the previous two non-redundant : 246
% 0.24/0.63 % ...aggressively subsumed : 0
% 0.24/0.63 % Contextual simplify-reflections : 2
% 0.24/0.63 % Paramodulations : 249
% 0.24/0.63 % Factorizations : 0
% 0.24/0.63 % NegExts : 0
% 0.24/0.63 % Equation resolutions : 0
% 0.24/0.63 % Disequality decompositions : 0
% 0.24/0.63 % Total rewrite steps : 64
% 0.24/0.63 % ...of those cached : 44
% 0.24/0.63 % Propositional unsat checks : 0
% 0.24/0.63 % Propositional check models : 0
% 0.24/0.63 % Propositional check unsatisfiable : 0
% 0.24/0.63 % Propositional clauses : 0
% 0.24/0.63 % Propositional clauses after purity: 0
% 0.24/0.63 % Propositional unsat core size : 0
% 0.24/0.63 % Propositional preprocessing time : 0.000
% 0.24/0.63 % Propositional encoding time : 0.000
% 0.24/0.63 % Propositional solver time : 0.000
% 0.24/0.63 % Success case prop preproc time : 0.000
% 0.24/0.63 % Success case prop encoding time : 0.000
% 0.24/0.63 % Success case prop solver time : 0.000
% 0.24/0.63 % Current number of processed clauses : 40
% 0.24/0.63 % Positive orientable unit clauses : 3
% 0.24/0.63 % Positive unorientable unit clauses: 0
% 0.24/0.63 % Negative unit clauses : 6
% 0.24/0.63 % Non-unit-clauses : 31
% 0.24/0.63 % Current number of unprocessed clauses: 184
% 0.24/0.63 % ...number of literals in the above : 632
% 0.24/0.63 % Current number of archived formulas : 0
% 0.24/0.63 % Current number of archived clauses : 25
% 0.24/0.63 % Clause-clause subsumption calls (NU) : 263
% 0.24/0.63 % Rec. Clause-clause subsumption calls : 200
% 0.24/0.63 % Non-unit clause-clause subsumptions : 18
% 0.24/0.63 % Unit Clause-clause subsumption calls : 32
% 0.24/0.63 % Rewrite failures with RHS unbound : 0
% 0.24/0.63 % BW rewrite match attempts : 2
% 0.24/0.63 % BW rewrite match successes : 1
% 0.24/0.63 % Condensation attempts : 0
% 0.24/0.63 % Condensation successes : 0
% 0.24/0.63 % Termbank termtop insertions : 7530
% 0.24/0.63 % Search garbage collected termcells : 21
% 0.24/0.63
% 0.24/0.63 % -------------------------------------------------
% 0.24/0.63 % User time : 0.019 s
% 0.24/0.63 % System time : 0.003 s
% 0.24/0.63 % Total time : 0.022 s
% 0.24/0.63 % Maximum resident set size: 3388 pages
% 0.24/0.63
% 0.24/0.63 % -------------------------------------------------
% 0.24/0.63 % User time : 0.067 s
% 0.24/0.63 % System time : 0.020 s
% 0.24/0.63 % Total time : 0.086 s
% 0.24/0.63 % Maximum resident set size: 4608 pages
% 0.24/0.63 % E exiting
%------------------------------------------------------------------------------