TSTP Solution File: ANA014-2 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : ANA014-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n014.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 : Wed Aug 30 17:13:52 EDT 2023
% Result : Unsatisfiable 0.20s 0.60s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 29
% Syntax : Number of formulae : 53 ( 9 unt; 16 typ; 0 def)
% Number of atoms : 70 ( 17 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 73 ( 40 ~; 33 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 18 ( 12 >; 6 *; 0 +; 0 <<)
% 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 : 48 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
v_c: $i ).
tff(decl_23,type,
c_0: $i ).
tff(decl_24,type,
v_x: $i > $i ).
tff(decl_25,type,
v_f: $i > $i ).
tff(decl_26,type,
t_a: $i ).
tff(decl_27,type,
c_HOL_Oabs: ( $i * $i ) > $i ).
tff(decl_28,type,
c_times: ( $i * $i * $i ) > $i ).
tff(decl_29,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(decl_30,type,
class_Ring__and__Field_Oordered__field: $i > $o ).
tff(decl_31,type,
class_OrderedGroup_Omonoid__mult: $i > $o ).
tff(decl_32,type,
c_1: $i ).
tff(decl_33,type,
class_OrderedGroup_Osemigroup__mult: $i > $o ).
tff(decl_34,type,
class_Orderings_Oorder: $i > $o ).
tff(decl_35,type,
class_Ring__and__Field_Oordered__idom: $i > $o ).
tff(decl_36,type,
class_Ring__and__Field_Ofield: $i > $o ).
tff(decl_37,type,
c_HOL_Oinverse: ( $i * $i ) > $i ).
cnf(cls_OrderedGroup_Omonoid__mult__class_Oaxioms__1_0,axiom,
( c_times(c_1,X2,X1) = X2
| ~ class_OrderedGroup_Omonoid__mult(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Omonoid__mult__class_Oaxioms__1_0) ).
cnf(clsrel_Ring__and__Field_Ofield_12,axiom,
( class_OrderedGroup_Omonoid__mult(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_Ring__and__Field_Oabs__mult_0,axiom,
( c_HOL_Oabs(c_times(X2,X3,X1),X1) = c_times(c_HOL_Oabs(X2,X1),c_HOL_Oabs(X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Ring__and__Field_Oabs__mult_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(cls_OrderedGroup_Osemigroup__mult__class_Omult__assoc_0,axiom,
( c_times(c_times(X2,X3,X1),X4,X1) = c_times(X2,c_times(X3,X4,X1),X1)
| ~ class_OrderedGroup_Osemigroup__mult(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Osemigroup__mult__class_Omult__assoc_0) ).
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(clsrel_Ring__and__Field_Ofield_21,axiom,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
file('/export/starexec/sandbox2/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/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(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(clsrel_Ring__and__Field_Oordered__field_34,axiom,
( class_Ring__and__Field_Oordered__idom(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__field_34) ).
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(c_0_13,axiom,
( c_times(c_1,X2,X1) = X2
| ~ class_OrderedGroup_Omonoid__mult(X1) ),
cls_OrderedGroup_Omonoid__mult__class_Oaxioms__1_0 ).
cnf(c_0_14,axiom,
( class_OrderedGroup_Omonoid__mult(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
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),
cls_conjecture_1 ).
cnf(c_0_16,axiom,
( c_HOL_Oabs(c_times(X2,X3,X1),X1) = c_times(c_HOL_Oabs(X2,X1),c_HOL_Oabs(X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
cls_Ring__and__Field_Oabs__mult_0 ).
cnf(c_0_17,plain,
( c_times(c_1,X1,X2) = X1
| ~ class_Ring__and__Field_Ofield(X2) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,axiom,
( class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
clsrel_Ring__and__Field_Oordered__field_0 ).
cnf(c_0_19,negated_conjecture,
( ~ class_Ring__and__Field_Oordered__idom(t_a)
| ~ 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) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,axiom,
( c_times(c_times(X2,X3,X1),X4,X1) = c_times(X2,c_times(X3,X4,X1),X1)
| ~ class_OrderedGroup_Osemigroup__mult(X1) ),
cls_OrderedGroup_Osemigroup__mult__class_Omult__assoc_0 ).
cnf(c_0_21,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 ).
cnf(c_0_22,axiom,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
clsrel_Ring__and__Field_Ofield_21 ).
cnf(c_0_23,plain,
( c_times(c_1,X1,X2) = X1
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_24,negated_conjecture,
class_Ring__and__Field_Oordered__field(t_a),
tfree_tcs ).
cnf(c_0_25,negated_conjecture,
( ~ class_Ring__and__Field_Oordered__idom(t_a)
| ~ 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) ),
inference(spm,[status(thm)],[c_0_19,c_0_16]) ).
cnf(c_0_26,plain,
( c_times(c_HOL_Oinverse(X1,X2),c_times(X1,X3,X2),X2) = c_times(c_1,X3,X2)
| X1 = c_0
| ~ class_Ring__and__Field_Ofield(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]) ).
cnf(c_0_27,negated_conjecture,
c_times(c_1,X1,t_a) = X1,
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_28,negated_conjecture,
v_c != c_0,
cls_conjecture_0 ).
cnf(c_0_29,negated_conjecture,
( ~ class_Ring__and__Field_Ofield(t_a)
| ~ class_Ring__and__Field_Oordered__idom(t_a)
| ~ 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) ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]),c_0_28]) ).
cnf(c_0_30,axiom,
( c_lessequals(X2,X2,X1)
| ~ class_Orderings_Oorder(X1) ),
cls_Orderings_Oorder__class_Oaxioms__1_0 ).
cnf(c_0_31,negated_conjecture,
( ~ class_Ring__and__Field_Ofield(t_a)
| ~ class_Ring__and__Field_Oordered__idom(t_a)
| ~ class_Orderings_Oorder(t_a) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_32,axiom,
( class_Ring__and__Field_Oordered__idom(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
clsrel_Ring__and__Field_Oordered__field_34 ).
cnf(c_0_33,negated_conjecture,
( ~ class_Ring__and__Field_Ofield(t_a)
| ~ class_Orderings_Oorder(t_a) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_24])]) ).
cnf(c_0_34,axiom,
( class_Orderings_Oorder(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
clsrel_Ring__and__Field_Oordered__field_58 ).
cnf(c_0_35,negated_conjecture,
~ class_Ring__and__Field_Ofield(t_a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_24])]) ).
cnf(c_0_36,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_18]),c_0_24])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ANA014-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n014.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Aug 25 18:34:03 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.58 start to proof: theBenchmark
% 0.20/0.60 % Version : CSE_E---1.5
% 0.20/0.60 % Problem : theBenchmark.p
% 0.20/0.60 % Proof found
% 0.20/0.60 % SZS status Theorem for theBenchmark.p
% 0.20/0.60 % SZS output start Proof
% See solution above
% 0.20/0.60 % Total time : 0.012000 s
% 0.20/0.60 % SZS output end Proof
% 0.20/0.60 % Total time : 0.015000 s
%------------------------------------------------------------------------------