TSTP Solution File: SWV864-1 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV864-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n025.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 : Thu Aug 31 21:48:26 EDT 2023
% Result : Unsatisfiable 0.20s 0.58s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 25
% Syntax : Number of formulae : 35 ( 6 unt; 20 typ; 0 def)
% Number of atoms : 28 ( 18 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 24 ( 11 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 28 ( 10 >; 18 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-4 aty)
% Number of functors : 17 ( 17 usr; 9 con; 0-5 aty)
% Number of variables : 22 ( 5 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
c_Fun_Oid: ( $i * $i ) > $i ).
tff(decl_23,type,
c_Com_Ocom_OSKIP: $i ).
tff(decl_24,type,
c_Natural_Oevaln: ( $i * $i * $i * $i ) > $o ).
tff(decl_25,type,
c_Natural_Osko__Natural__Xevalc__elim__cases__4__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_26,type,
c_Natural_Oevalc: ( $i * $i * $i ) > $o ).
tff(decl_27,type,
c_Com_Ocom_OSemi: ( $i * $i ) > $i ).
tff(decl_28,type,
c_Natural_Osko__Natural__Xeval__eq__1__1: ( $i * $i * $i ) > $i ).
tff(decl_29,type,
c_Natural_Osko__Natural__Xevaln__elim__cases__4__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_30,type,
c_Natural_Osko__Natural__Xevalc__evaln__1__1: ( $i * $i * $i ) > $i ).
tff(decl_31,type,
v_x: $i ).
tff(decl_32,type,
t_a: $i ).
tff(decl_33,type,
v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1: $i ).
tff(decl_34,type,
v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2: $i ).
tff(decl_35,type,
c_Hoare__Mirabelle_Ostate__not__singleton: $o ).
tff(decl_36,type,
v_sko__Hoare__Mirabelle__Xsingle__stateE__1: $i > $i ).
tff(decl_37,type,
v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1: $i ).
tff(decl_38,type,
v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2: $i ).
tff(decl_39,type,
v_c: $i ).
tff(decl_40,type,
v_xa: $i ).
tff(decl_41,type,
v_xb: $i > $i ).
cnf(cls_com__det_0,axiom,
( X1 = X2
| ~ c_Natural_Oevalc(X3,X4,X1)
| ~ c_Natural_Oevalc(X3,X4,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_com__det_0) ).
cnf(cls_conjecture_2,negated_conjecture,
( X1 = v_xa
| c_Natural_Oevalc(v_c,v_x,v_xb(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_conjecture_3,negated_conjecture,
( X1 = v_xa
| X1 != v_xb(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_conjecture_1,negated_conjecture,
~ c_Natural_Oevalc(v_c,v_x,v_xa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_com_Osimps_I12_J_0,axiom,
c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_com_Osimps_I12_J_0) ).
cnf(c_0_5,axiom,
( X1 = X2
| ~ c_Natural_Oevalc(X3,X4,X1)
| ~ c_Natural_Oevalc(X3,X4,X2) ),
cls_com__det_0 ).
cnf(c_0_6,negated_conjecture,
( X1 = v_xa
| c_Natural_Oevalc(v_c,v_x,v_xb(X1)) ),
cls_conjecture_2 ).
cnf(c_0_7,negated_conjecture,
( X1 = v_xb(X2)
| X2 = v_xa
| ~ c_Natural_Oevalc(v_c,v_x,X1) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_8,negated_conjecture,
( X1 = v_xa
| X1 != v_xb(X1) ),
cls_conjecture_3 ).
cnf(c_0_9,negated_conjecture,
( v_xb(X1) = v_xb(X2)
| X1 = v_xa
| X2 = v_xa ),
inference(spm,[status(thm)],[c_0_7,c_0_6]) ).
cnf(c_0_10,negated_conjecture,
( v_xb(X1) = v_xa
| X1 = v_xa ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9])]) ).
cnf(c_0_11,negated_conjecture,
~ c_Natural_Oevalc(v_c,v_x,v_xa),
cls_conjecture_1 ).
cnf(c_0_12,axiom,
c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(X1,X2),
cls_com_Osimps_I12_J_0 ).
cnf(c_0_13,negated_conjecture,
X1 = v_xa,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_10]),c_0_11]) ).
cnf(c_0_14,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13]),c_0_13])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV864-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n025.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 06:58:10 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.20/0.57 start to proof: theBenchmark
% 0.20/0.58 % Version : CSE_E---1.5
% 0.20/0.58 % Problem : theBenchmark.p
% 0.20/0.58 % Proof found
% 0.20/0.58 % SZS status Theorem for theBenchmark.p
% 0.20/0.58 % SZS output start Proof
% See solution above
% 0.20/0.59 % Total time : 0.006000 s
% 0.20/0.59 % SZS output end Proof
% 0.20/0.59 % Total time : 0.009000 s
%------------------------------------------------------------------------------