%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : ANA023-10 : TPTP v9.2.1. Released v7.5.0.
% 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 : n026.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 04:09:19 PM UTC 2026
% Result : Unsatisfiable 1.26s 1.71s
% Output : CNFRefutation 1.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 14
% Syntax : Number of clauses : 38 ( 38 unt; 0 nHn; 15 RR)
% Number of literals : 38 ( 37 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 4 con; 0-4 aty)
% Number of variables : 52 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clsrel_Ring__and__Field_Oordered__idom_33,axiom,
ifeq(class_Ring__and__Field_Oordered__idom(X1),true,class_Orderings_Olinorder(X1),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_33) ).
cnf(tfree_tcs,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
cnf(ifeq_axiom_001,axiom,
ifeq(X1,X1,X2,X3) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom_001) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_23,axiom,
ifeq(class_Ring__and__Field_Oordered__idom(X1),true,class_OrderedGroup_Ocomm__monoid__add(X1),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_23) ).
cnf(clsrel_Orderings_Olinorder_4,axiom,
ifeq(class_Orderings_Olinorder(X1),true,class_Orderings_Oorder(X1),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Orderings_Olinorder_4) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_54,axiom,
ifeq(class_Ring__and__Field_Oordered__idom(X1),true,class_OrderedGroup_Opordered__ab__group__add(X1),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_54) ).
cnf(cls_OrderedGroup_Ocomm__monoid__add__class_Oaxioms_0,axiom,
ifeq2(class_OrderedGroup_Ocomm__monoid__add(X1),true,c_plus(c_0,X2,X1),X2) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocomm__monoid__add__class_Oaxioms_0) ).
cnf(ifeq_axiom,axiom,
ifeq2(X1,X1,X2,X3) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).
cnf(cls_Orderings_Oorder__class_Oorder__trans_0,axiom,
ifeq(class_Orderings_Oorder(X1),true,ifeq(c_lessequals(X2,X3,X1),true,ifeq(c_lessequals(X3,X4,X1),true,c_lessequals(X2,X4,X1),true),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oorder__trans_0) ).
cnf(cls_conjecture_2,negated_conjecture,
c_lessequals(v_k(v_x),v_f(v_x),t_b) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_OrderedGroup_Ocompare__rls__9_0,axiom,
ifeq(class_OrderedGroup_Opordered__ab__group__add(X1),true,ifeq(c_lessequals(X2,c_minus(X3,X4,X1),X1),true,c_lessequals(c_plus(X2,X4,X1),X3,X1),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__9_0) ).
cnf(cls_conjecture_1,negated_conjecture,
c_lessequals(c_0,c_minus(v_k(v_x),v_g(v_x),t_b),t_b) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_OrderedGroup_Ocompare__rls__9_1,axiom,
ifeq(class_OrderedGroup_Opordered__ab__group__add(X1),true,ifeq(c_lessequals(c_plus(X2,X3,X1),X4,X1),true,c_lessequals(X2,c_minus(X4,X3,X1),X1),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__9_1) ).
cnf(cls_conjecture_3,negated_conjecture,
c_lessequals(c_0,c_minus(v_f(v_x),v_g(v_x),t_b),t_b) != true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(c_0_14,axiom,
ifeq(class_Ring__and__Field_Oordered__idom(X1),true,class_Orderings_Olinorder(X1),true) = true,
clsrel_Ring__and__Field_Oordered__idom_33 ).
cnf(c_0_15,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b) = true,
tfree_tcs ).
cnf(c_0_16,axiom,
ifeq(X1,X1,X2,X3) = X2,
ifeq_axiom_001 ).
cnf(c_0_17,axiom,
ifeq(class_Ring__and__Field_Oordered__idom(X1),true,class_OrderedGroup_Ocomm__monoid__add(X1),true) = true,
clsrel_Ring__and__Field_Oordered__idom_23 ).
cnf(c_0_18,axiom,
ifeq(class_Orderings_Olinorder(X1),true,class_Orderings_Oorder(X1),true) = true,
clsrel_Orderings_Olinorder_4 ).
cnf(c_0_19,negated_conjecture,
class_Orderings_Olinorder(t_b) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]) ).
cnf(c_0_20,axiom,
ifeq(class_Ring__and__Field_Oordered__idom(X1),true,class_OrderedGroup_Opordered__ab__group__add(X1),true) = true,
clsrel_Ring__and__Field_Oordered__idom_54 ).
cnf(c_0_21,axiom,
ifeq2(class_OrderedGroup_Ocomm__monoid__add(X1),true,c_plus(c_0,X2,X1),X2) = X2,
cls_OrderedGroup_Ocomm__monoid__add__class_Oaxioms_0 ).
cnf(c_0_22,negated_conjecture,
class_OrderedGroup_Ocomm__monoid__add(t_b) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_15]),c_0_16]) ).
cnf(c_0_23,axiom,
ifeq2(X1,X1,X2,X3) = X2,
ifeq_axiom ).
cnf(c_0_24,axiom,
ifeq(class_Orderings_Oorder(X1),true,ifeq(c_lessequals(X2,X3,X1),true,ifeq(c_lessequals(X3,X4,X1),true,c_lessequals(X2,X4,X1),true),true),true) = true,
cls_Orderings_Oorder__class_Oorder__trans_0 ).
cnf(c_0_25,negated_conjecture,
c_lessequals(v_k(v_x),v_f(v_x),t_b) = true,
cls_conjecture_2 ).
cnf(c_0_26,negated_conjecture,
class_Orderings_Oorder(t_b) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_16]) ).
cnf(c_0_27,axiom,
ifeq(class_OrderedGroup_Opordered__ab__group__add(X1),true,ifeq(c_lessequals(X2,c_minus(X3,X4,X1),X1),true,c_lessequals(c_plus(X2,X4,X1),X3,X1),true),true) = true,
cls_OrderedGroup_Ocompare__rls__9_0 ).
cnf(c_0_28,negated_conjecture,
c_lessequals(c_0,c_minus(v_k(v_x),v_g(v_x),t_b),t_b) = true,
cls_conjecture_1 ).
cnf(c_0_29,negated_conjecture,
class_OrderedGroup_Opordered__ab__group__add(t_b) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_15]),c_0_16]) ).
cnf(c_0_30,negated_conjecture,
c_plus(c_0,X1,t_b) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]) ).
cnf(c_0_31,axiom,
ifeq(class_OrderedGroup_Opordered__ab__group__add(X1),true,ifeq(c_lessequals(c_plus(X2,X3,X1),X4,X1),true,c_lessequals(X2,c_minus(X4,X3,X1),X1),true),true) = true,
cls_OrderedGroup_Ocompare__rls__9_1 ).
cnf(c_0_32,negated_conjecture,
ifeq(c_lessequals(X1,v_k(v_x),t_b),true,c_lessequals(X1,v_f(v_x),t_b),true) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),c_0_16]),c_0_16]) ).
cnf(c_0_33,negated_conjecture,
c_lessequals(v_g(v_x),v_k(v_x),t_b) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]),c_0_16]),c_0_16]),c_0_30]) ).
cnf(c_0_34,negated_conjecture,
ifeq(c_lessequals(X1,X2,t_b),true,c_lessequals(c_0,c_minus(X2,X1,t_b),t_b),true) = true,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_30]),c_0_29]),c_0_16]) ).
cnf(c_0_35,negated_conjecture,
c_lessequals(v_g(v_x),v_f(v_x),t_b) = true,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_16]) ).
cnf(c_0_36,negated_conjecture,
c_lessequals(c_0,c_minus(v_f(v_x),v_g(v_x),t_b),t_b) != true,
cls_conjecture_3 ).
cnf(c_0_37,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_16]),c_0_36]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : ANA023-10 : TPTP v9.2.1. Released v7.5.0.
% 0.00/0.11 % 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
% 0.16/0.32 % Computer : n026.cluster.edu
% 0.16/0.32 % Model : x86_64 x86_64
% 0.16/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.32 % Memory : 8042.1875MB
% 0.16/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.32 % CPULimit : 300
% 0.16/0.32 % WCLimit : 300
% 0.16/0.32 % DateTime : Tue May 5 10:36:08 EDT 2026
% 0.16/0.32 % CPUTime :
% 0.16/0.33 % start to proof: theBenchmark
% 1.26/1.71 % Version : CSE_E---1.7
% 1.26/1.71 % Problem : theBenchmark.p
% 1.26/1.71 % SZS status Unsatisfiable for theBenchmark.p
% 1.26/1.71 % SZS output start CNFRefutation
% See solution above
% 1.26/1.71 % Total time : 1.371s
%------------------------------------------------------------------------------