%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : ANA028-1 : TPTP v9.2.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n012.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 04:09:21 PM UTC 2026
% Result : Unsatisfiable 163.39s 143.04s
% Output : CNFRefutation 163.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of clauses : 25 ( 8 unt; 0 nHn; 19 RR)
% Number of literals : 49 ( 2 equ; 29 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-3 aty)
% Number of variables : 45 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
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_Ocompare__rls__9_1,axiom,
( c_lessequals(X2,c_minus(X4,X3,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(c_plus(X2,X3,X1),X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__9_1) ).
cnf(cls_OrderedGroup_Ocompare__rls__8_1,axiom,
( c_lessequals(c_minus(X2,X4,X1),X3,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(X2,c_plus(X3,X4,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__8_1) ).
cnf(cls_OrderedGroup_Ocompare__rls__3_0,axiom,
( c_plus(c_minus(X2,X3,X1),X4,X1) = c_minus(c_plus(X2,X4,X1),X3,X1)
| ~ class_OrderedGroup_Oab__group__add(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__3_0) ).
cnf(clsrel_OrderedGroup_Opordered__ab__group__add_0,axiom,
( class_OrderedGroup_Oab__group__add(X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Opordered__ab__group__add_0) ).
cnf(cls_OrderedGroup_Oadd__le__cancel__left_1,axiom,
( c_lessequals(c_plus(X4,X2,X1),c_plus(X4,X3,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oadd__le__cancel__left_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(clsrel_OrderedGroup_Opordered__ab__group__add_12,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Opordered__ab__group__add_12) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_54,axiom,
( class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_54) ).
cnf(tfree_tcs,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
cnf(c_0_10,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),
cls_conjecture_3 ).
cnf(c_0_11,axiom,
( c_lessequals(X2,c_minus(X4,X3,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(c_plus(X2,X3,X1),X4,X1) ),
cls_OrderedGroup_Ocompare__rls__9_1 ).
cnf(c_0_12,axiom,
( c_lessequals(c_minus(X2,X4,X1),X3,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(X2,c_plus(X3,X4,X1),X1) ),
cls_OrderedGroup_Ocompare__rls__8_1 ).
cnf(c_0_13,axiom,
( c_plus(c_minus(X2,X3,X1),X4,X1) = c_minus(c_plus(X2,X4,X1),X3,X1)
| ~ class_OrderedGroup_Oab__group__add(X1) ),
cls_OrderedGroup_Ocompare__rls__3_0 ).
cnf(c_0_14,axiom,
( class_OrderedGroup_Oab__group__add(X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
clsrel_OrderedGroup_Opordered__ab__group__add_0 ).
cnf(c_0_15,negated_conjecture,
( ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
| ~ c_lessequals(c_plus(c_minus(v_f(v_x),v_k(v_x),t_b),v_g(v_x),t_b),v_f(v_x),t_b) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_16,plain,
( c_lessequals(c_plus(c_minus(X1,X2,X3),X4,X3),X5,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| ~ c_lessequals(c_plus(X1,X4,X3),c_plus(X5,X2,X3),X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]) ).
cnf(c_0_17,negated_conjecture,
( ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
| ~ c_lessequals(c_plus(v_f(v_x),v_g(v_x),t_b),c_plus(v_f(v_x),v_k(v_x),t_b),t_b) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_18,axiom,
( c_lessequals(c_plus(X4,X2,X1),c_plus(X4,X3,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_OrderedGroup_Oadd__le__cancel__left_1 ).
cnf(c_0_19,negated_conjecture,
c_lessequals(v_g(X1),v_k(X1),t_b),
cls_conjecture_1 ).
cnf(c_0_20,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
clsrel_OrderedGroup_Opordered__ab__group__add_12 ).
cnf(c_0_21,negated_conjecture,
~ class_OrderedGroup_Opordered__ab__group__add(t_b),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]),c_0_20]) ).
cnf(c_0_22,axiom,
( class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
clsrel_Ring__and__Field_Oordered__idom_54 ).
cnf(c_0_23,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
tfree_tcs ).
cnf(c_0_24,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : ANA028-1 : TPTP v9.2.1. Released v3.2.0.
% 0.00/0.06 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.07/0.24 % Computer : n012.cluster.edu
% 0.07/0.24 % Model : x86_64 x86_64
% 0.07/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.24 % Memory : 8042.1875MB
% 0.07/0.24 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.24 % CPULimit : 300
% 0.07/0.24 % WCLimit : 300
% 0.07/0.24 % DateTime : Tue May 5 10:36:01 EDT 2026
% 0.07/0.24 % CPUTime :
% 0.07/0.25 % start to proof: theBenchmark
% 163.39/143.04 % Version : CSE_E---1.7
% 163.39/143.04 % Problem : theBenchmark.p
% 163.39/143.04 % SZS status Unsatisfiable for theBenchmark.p
% 163.39/143.04 % SZS output start CNFRefutation
% See solution above
% 163.58/143.27 % Total time : 134.241s
%------------------------------------------------------------------------------