TSTP Solution File: GEO499+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO499+1 : TPTP v8.1.2. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n023.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 22:48:26 EDT 2023
% Result : Theorem 0.53s 0.76s
% Output : CNFRefutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 32
% Syntax : Number of formulae : 48 ( 9 unt; 28 typ; 0 def)
% Number of atoms : 31 ( 3 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 24 ( 13 ~; 10 |; 1 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 92 ( 20 >; 72 *; 0 +; 0 <<)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-8 aty)
% Number of functors : 17 ( 17 usr; 8 con; 0-6 aty)
% Number of variables : 43 ( 0 sgn; 33 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
s_e: ( $i * $i * $i * $i ) > $o ).
tff(decl_23,type,
ext: ( $i * $i * $i * $i ) > $i ).
tff(decl_24,type,
s_t: ( $i * $i * $i ) > $o ).
tff(decl_25,type,
ip: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_26,type,
alpha: $i ).
tff(decl_27,type,
beta: $i ).
tff(decl_28,type,
gamma: $i ).
tff(decl_29,type,
crossbar: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_30,type,
s_ifs: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_31,type,
insert: ( $i * $i * $i * $i ) > $i ).
tff(decl_32,type,
s_e3: ( $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_33,type,
s_col: ( $i * $i * $i ) > $o ).
tff(decl_34,type,
insert5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_35,type,
s_fs: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_36,type,
le: ( $i * $i * $i * $i ) > $o ).
tff(decl_37,type,
ins: ( $i * $i * $i * $i ) > $i ).
tff(decl_38,type,
sameside: ( $i * $i * $i ) > $o ).
tff(decl_39,type,
c63: ( $i * $i * $i ) > $i ).
tff(decl_40,type,
pointOffLine: ( $i * $i ) > $i ).
tff(decl_41,type,
s_m: ( $i * $i * $i ) > $o ).
tff(decl_42,type,
s: ( $i * $i ) > $i ).
tff(decl_43,type,
s_afs: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_44,type,
xb: $i ).
tff(decl_45,type,
s_kf: ( $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_46,type,
esk1_0: $i ).
tff(decl_47,type,
esk2_0: $i ).
tff(decl_48,type,
esk3_0: $i ).
tff(decl_49,type,
esk4_0: $i ).
fof(aSatz3_2,axiom,
! [X12,X15,X14] :
( ~ s_t(X12,X15,X14)
| s_t(X14,X15,X12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz3_2) ).
fof(aSatz7_15b,conjecture,
! [X13,X16,X27,X12] :
( s_t(X13,X16,X27)
| ~ s_t(s(X12,X13),s(X12,X16),s(X12,X27)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_15b) ).
fof(aSatz7_15a,axiom,
! [X13,X16,X27,X12] :
( ~ s_t(X13,X16,X27)
| s_t(s(X12,X13),s(X12,X16),s(X12,X27)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_15a) ).
fof(aSatz7_7,axiom,
! [X12,X13] : s(X12,s(X12,X13)) = X13,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_7) ).
fof(c_0_4,plain,
! [X12,X15,X14] :
( ~ s_t(X12,X15,X14)
| s_t(X14,X15,X12) ),
inference(fof_simplification,[status(thm)],[aSatz3_2]) ).
fof(c_0_5,negated_conjecture,
~ ! [X13,X16,X27,X12] :
( s_t(X13,X16,X27)
| ~ s_t(s(X12,X13),s(X12,X16),s(X12,X27)) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[aSatz7_15b])]) ).
fof(c_0_6,plain,
! [X13,X16,X27,X12] :
( ~ s_t(X13,X16,X27)
| s_t(s(X12,X13),s(X12,X16),s(X12,X27)) ),
inference(fof_simplification,[status(thm)],[aSatz7_15a]) ).
fof(c_0_7,plain,
! [X118,X119,X120] :
( ~ s_t(X118,X119,X120)
| s_t(X120,X119,X118) ),
inference(variable_rename,[status(thm)],[c_0_4]) ).
fof(c_0_8,negated_conjecture,
( ~ s_t(esk1_0,esk2_0,esk3_0)
& s_t(s(esk4_0,esk1_0),s(esk4_0,esk2_0),s(esk4_0,esk3_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
fof(c_0_9,plain,
! [X423,X424,X425,X426] :
( ~ s_t(X423,X424,X425)
| s_t(s(X426,X423),s(X426,X424),s(X426,X425)) ),
inference(variable_rename,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
( s_t(X3,X2,X1)
| ~ s_t(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,negated_conjecture,
s_t(s(esk4_0,esk1_0),s(esk4_0,esk2_0),s(esk4_0,esk3_0)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,plain,
( s_t(s(X4,X1),s(X4,X2),s(X4,X3))
| ~ s_t(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,negated_conjecture,
s_t(s(esk4_0,esk3_0),s(esk4_0,esk2_0),s(esk4_0,esk1_0)),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
fof(c_0_14,plain,
! [X407,X408] : s(X407,s(X407,X408)) = X408,
inference(variable_rename,[status(thm)],[aSatz7_7]) ).
cnf(c_0_15,negated_conjecture,
s_t(s(X1,s(esk4_0,esk3_0)),s(X1,s(esk4_0,esk2_0)),s(X1,s(esk4_0,esk1_0))),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,plain,
s(X1,s(X1,X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_17,negated_conjecture,
s_t(esk3_0,esk2_0,esk1_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_16]),c_0_16]) ).
cnf(c_0_18,negated_conjecture,
~ s_t(esk1_0,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_19,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_17]),c_0_18]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO499+1 : TPTP v8.1.2. Released v7.0.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 22:48:54 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.56 start to proof: theBenchmark
% 0.53/0.76 % Version : CSE_E---1.5
% 0.53/0.76 % Problem : theBenchmark.p
% 0.53/0.76 % Proof found
% 0.53/0.76 % SZS status Theorem for theBenchmark.p
% 0.53/0.76 % SZS output start Proof
% See solution above
% 0.54/0.77 % Total time : 0.194000 s
% 0.54/0.77 % SZS output end Proof
% 0.54/0.77 % Total time : 0.201000 s
%------------------------------------------------------------------------------