%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : ANA012-2 : TPTP v9.2.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:09:17 PM UTC 2026
% Result : Unsatisfiable 0.25s 1.62s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 39
% Syntax : Number of clauses : 60 ( 15 unt; 3 nHn; 41 RR)
% Number of literals : 126 ( 60 equ; 68 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 117 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_1,negated_conjecture,
~ c_lessequals(c_1,c_times(X1,c_HOL_Oabs(v_c,t_a),t_a),t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_Ring__and__Field_Ofield__class_Oaxioms__1_0,axiom,
( X2 = c_0
| c_times(c_HOL_Oinverse(X2,X1),X2,X1) = c_1
| ~ class_Ring__and__Field_Ofield(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Ring__and__Field_Ofield__class_Oaxioms__1_0) ).
cnf(cls_Orderings_Oorder__class_Oaxioms__1_0,axiom,
( c_lessequals(X2,X2,X1)
| ~ class_Orderings_Oorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oaxioms__1_0) ).
cnf(cls_OrderedGroup_Oabs__eq__0_0,axiom,
( X2 = c_0
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| c_HOL_Oabs(X2,X1) != c_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__eq__0_0) ).
cnf(clsrel_Ring__and__Field_Oordered__field_0,axiom,
( class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__field_0) ).
cnf(clsrel_Ring__and__Field_Oordered__field_58,axiom,
( class_Orderings_Oorder(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__field_58) ).
cnf(clsrel_Ring__and__Field_Oordered__field_47,axiom,
( class_OrderedGroup_Olordered__ab__group__abs(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__field_47) ).
cnf(tfree_tcs,negated_conjecture,
class_Ring__and__Field_Oordered__field(t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
cnf(cls_conjecture_0,negated_conjecture,
v_c != c_0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(i_0_9,negated_conjecture,
~ c_lessequals(c_1,c_times(X1,c_HOL_Oabs(v_c,t_a),t_a),t_a),
cls_conjecture_1,
[final] ).
cnf(i_0_10,axiom,
( X2 = c_0
| c_times(c_HOL_Oinverse(X2,X1),X2,X1) = c_1
| ~ class_Ring__and__Field_Ofield(X1) ),
cls_Ring__and__Field_Ofield__class_Oaxioms__1_0,
[final] ).
cnf(i_0_11,axiom,
( c_lessequals(X2,X2,X1)
| ~ class_Orderings_Oorder(X1) ),
cls_Orderings_Oorder__class_Oaxioms__1_0,
[final] ).
cnf(i_0_12,axiom,
( X2 = c_0
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| c_HOL_Oabs(X2,X1) != c_0 ),
cls_OrderedGroup_Oabs__eq__0_0,
[final] ).
cnf(i_0_13,axiom,
( class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
clsrel_Ring__and__Field_Oordered__field_0,
[final] ).
cnf(i_0_14,axiom,
( class_Orderings_Oorder(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
clsrel_Ring__and__Field_Oordered__field_58,
[final] ).
cnf(i_0_15,axiom,
( class_OrderedGroup_Olordered__ab__group__abs(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
clsrel_Ring__and__Field_Oordered__field_47,
[final] ).
cnf(i_0_16,negated_conjecture,
class_Ring__and__Field_Oordered__field(t_a),
tfree_tcs,
[final] ).
cnf(i_0_17,negated_conjecture,
v_c != c_0,
cls_conjecture_0,
[final] ).
cnf(i_0_18,axiom,
X1 = X1 ).
cnf(i_0_19,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_20,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_21,axiom,
( X1 != X2
| c_times(X1,X3,X4) = c_times(X2,X3,X4) ) ).
cnf(i_0_22,axiom,
( X1 != X2
| c_times(X3,X1,X4) = c_times(X3,X2,X4) ) ).
cnf(i_0_23,axiom,
( X1 != X2
| c_times(X3,X4,X1) = c_times(X3,X4,X2) ) ).
cnf(i_0_24,axiom,
( X1 != X2
| c_HOL_Oabs(X1,X3) = c_HOL_Oabs(X2,X3) ) ).
cnf(i_0_25,axiom,
( X1 != X2
| c_HOL_Oabs(X3,X1) = c_HOL_Oabs(X3,X2) ) ).
cnf(i_0_26,axiom,
( X1 != X2
| ~ c_lessequals(X1,X3,X4)
| c_lessequals(X2,X3,X4) ) ).
cnf(i_0_27,axiom,
( X1 != X2
| ~ c_lessequals(X3,X1,X4)
| c_lessequals(X3,X2,X4) ) ).
cnf(i_0_28,axiom,
( X1 != X2
| ~ c_lessequals(X3,X4,X1)
| c_lessequals(X3,X4,X2) ) ).
cnf(i_0_29,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Ofield(X1)
| class_Ring__and__Field_Ofield(X2) ) ).
cnf(i_0_30,axiom,
( X1 != X2
| ~ class_Orderings_Oorder(X1)
| class_Orderings_Oorder(X2) ) ).
cnf(i_0_31,axiom,
( X1 != X2
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| class_OrderedGroup_Olordered__ab__group__abs(X2) ) ).
cnf(i_0_32,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Oordered__field(X1)
| class_Ring__and__Field_Oordered__field(X2) ) ).
cnf(i_0_18_001,axiom,
X1 = X1 ).
cnf(i_0_19_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_20_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_21_004,axiom,
( X1 != X2
| c_times(X1,X3,X4) = c_times(X2,X3,X4) ) ).
cnf(i_0_22_005,axiom,
( X1 != X2
| c_times(X3,X1,X4) = c_times(X3,X2,X4) ) ).
cnf(i_0_23_006,axiom,
( X1 != X2
| c_times(X3,X4,X1) = c_times(X3,X4,X2) ) ).
cnf(i_0_24_007,axiom,
( X1 != X2
| c_HOL_Oabs(X1,X3) = c_HOL_Oabs(X2,X3) ) ).
cnf(i_0_25_008,axiom,
( X1 != X2
| c_HOL_Oabs(X3,X1) = c_HOL_Oabs(X3,X2) ) ).
cnf(i_0_26_009,axiom,
( X1 != X2
| ~ c_lessequals(X1,X3,X4)
| c_lessequals(X2,X3,X4) ) ).
cnf(i_0_27_010,axiom,
( X1 != X2
| ~ c_lessequals(X3,X1,X4)
| c_lessequals(X3,X2,X4) ) ).
cnf(i_0_28_011,axiom,
( X1 != X2
| ~ c_lessequals(X3,X4,X1)
| c_lessequals(X3,X4,X2) ) ).
cnf(i_0_29_012,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Ofield(X1)
| class_Ring__and__Field_Ofield(X2) ) ).
cnf(i_0_30_013,axiom,
( X1 != X2
| ~ class_Orderings_Oorder(X1)
| class_Orderings_Oorder(X2) ) ).
cnf(i_0_31_014,axiom,
( X1 != X2
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| class_OrderedGroup_Olordered__ab__group__abs(X2) ) ).
cnf(i_0_32_015,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Oordered__field(X1)
| class_Ring__and__Field_Oordered__field(X2) ) ).
cnf(i_0_33,plain,
class_Ring__and__Field_Ofield(t_a),
inference(scs_inference,[],[i_0_16,i_0_13]) ).
cnf(i_0_34,plain,
( ~ class_Ring__and__Field_Oordered__field(X1)
| class_Ring__and__Field_Ofield(X1) ),
inference(rename_variables,[],[i_0_13]) ).
cnf(i_0_35,plain,
class_Orderings_Oorder(t_a),
inference(scs_inference,[],[i_0_16,i_0_13,i_0_14]) ).
cnf(i_0_36,plain,
( ~ class_Ring__and__Field_Oordered__field(X1)
| class_Orderings_Oorder(X1) ),
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_37,plain,
class_OrderedGroup_Olordered__ab__group__abs(t_a),
inference(scs_inference,[],[i_0_16,i_0_13,i_0_14,i_0_15]) ).
cnf(i_0_38,plain,
( ~ class_Ring__and__Field_Oordered__field(X1)
| class_OrderedGroup_Olordered__ab__group__abs(X1) ),
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_39,plain,
c_lessequals(X1,X1,t_a),
inference(scs_inference,[],[i_0_16,i_0_13,i_0_14,i_0_15,i_0_11]) ).
cnf(i_0_40,plain,
( ~ class_Orderings_Oorder(X1)
| c_lessequals(X2,X2,X1) ),
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_41,plain,
c_times(X1,c_HOL_Oabs(v_c,t_a),t_a) != c_1,
inference(scs_inference,[],[i_0_9,i_0_16,i_0_13,i_0_14,i_0_15,i_0_11,i_0_26]) ).
cnf(i_0_42,plain,
c_HOL_Oabs(v_c,t_a) = c_0,
inference(scs_inference,[],[i_0_9,i_0_16,i_0_13,i_0_14,i_0_15,i_0_11,i_0_26,i_0_10]) ).
cnf(i_0_43,plain,
( c_times(c_HOL_Oinverse(X1,X2),X1,X2) = c_1
| X1 = c_0
| ~ class_Ring__and__Field_Ofield(X2) ),
inference(rename_variables,[],[i_0_10]) ).
cnf(i_0_44,plain,
$false,
inference(scs_inference,[],[i_0_9,i_0_16,i_0_17,i_0_13,i_0_14,i_0_15,i_0_11,i_0_26,i_0_10,i_0_12]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ANA012-2 : TPTP v9.2.1. Released v3.2.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n017.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 10:33:58 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 0.25/1.62 % Version : CSE_E---1.7
% 0.25/1.62 % Problem : theBenchmark.p
% 0.25/1.62 % SZS status Unsatisfiable for theBenchmark.p
% 0.25/1.62 % SZS output start CNFRefutation
% See solution above
% 0.25/1.66 % Total time : 1.271s
%------------------------------------------------------------------------------