TSTP Solution File: PUZ047-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : PUZ047-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n031.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 13:12:20 EDT 2023
% Result : Unsatisfiable 0.21s 0.59s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 16
% Syntax : Number of formulae : 32 ( 12 unt; 8 typ; 0 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 33 ( 21 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 5 >; 4 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-5 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-1 aty)
% Number of variables : 29 ( 9 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
south: $i ).
tff(decl_23,type,
start: $i ).
tff(decl_24,type,
p: ( $i * $i * $i * $i * $i ) > $o ).
tff(decl_25,type,
north: $i ).
tff(decl_26,type,
go_alone: $i > $i ).
tff(decl_27,type,
take_wolf: $i > $i ).
tff(decl_28,type,
take_goat: $i > $i ).
tff(decl_29,type,
take_cabbage: $i > $i ).
cnf(thm100_16,negated_conjecture,
~ p(north,north,north,north,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm100_16) ).
cnf(thm100_10,negated_conjecture,
( p(north,X1,north,X2,take_goat(X3))
| ~ p(south,X1,south,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm100_10) ).
cnf(thm100_3,negated_conjecture,
( p(south,north,south,north,go_alone(X1))
| ~ p(north,north,south,north,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm100_3) ).
cnf(thm100_6,negated_conjecture,
( p(north,north,south,north,take_wolf(X1))
| ~ p(south,south,south,north,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm100_6) ).
cnf(thm100_11,negated_conjecture,
( p(south,X1,south,X2,take_goat(X3))
| ~ p(north,X1,north,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm100_11) ).
cnf(thm100_14,negated_conjecture,
( p(north,south,north,north,take_cabbage(X1))
| ~ p(south,south,north,south,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm100_14) ).
cnf(thm100_5,negated_conjecture,
( p(south,south,north,south,go_alone(X1))
| ~ p(north,south,north,south,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm100_5) ).
cnf(thm100_1,negated_conjecture,
p(south,south,south,south,start),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm100_1) ).
cnf(c_0_8,negated_conjecture,
~ p(north,north,north,north,X1),
thm100_16 ).
cnf(c_0_9,negated_conjecture,
( p(north,X1,north,X2,take_goat(X3))
| ~ p(south,X1,south,X2,X3) ),
thm100_10 ).
cnf(c_0_10,negated_conjecture,
( p(south,north,south,north,go_alone(X1))
| ~ p(north,north,south,north,X1) ),
thm100_3 ).
cnf(c_0_11,negated_conjecture,
~ p(south,north,south,north,X1),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,negated_conjecture,
( p(north,north,south,north,take_wolf(X1))
| ~ p(south,south,south,north,X1) ),
thm100_6 ).
cnf(c_0_13,negated_conjecture,
~ p(north,north,south,north,X1),
inference(sr,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,negated_conjecture,
~ p(south,south,south,north,X1),
inference(sr,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_15,negated_conjecture,
( p(south,X1,south,X2,take_goat(X3))
| ~ p(north,X1,north,X2,X3) ),
thm100_11 ).
cnf(c_0_16,negated_conjecture,
~ p(north,south,north,north,X1),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_17,negated_conjecture,
( p(north,south,north,north,take_cabbage(X1))
| ~ p(south,south,north,south,X1) ),
thm100_14 ).
cnf(c_0_18,negated_conjecture,
~ p(south,south,north,south,X1),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_19,negated_conjecture,
( p(south,south,north,south,go_alone(X1))
| ~ p(north,south,north,south,X1) ),
thm100_5 ).
cnf(c_0_20,negated_conjecture,
~ p(north,south,north,south,X1),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_21,negated_conjecture,
p(south,south,south,south,start),
thm100_1 ).
cnf(c_0_22,negated_conjecture,
~ p(south,south,south,south,X1),
inference(spm,[status(thm)],[c_0_20,c_0_9]) ).
cnf(c_0_23,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_21,c_0_22]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : PUZ047-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35 % Computer : n031.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 22:28:08 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.58 start to proof: theBenchmark
% 0.21/0.59 % Version : CSE_E---1.5
% 0.21/0.59 % Problem : theBenchmark.p
% 0.21/0.59 % Proof found
% 0.21/0.59 % SZS status Theorem for theBenchmark.p
% 0.21/0.59 % SZS output start Proof
% See solution above
% 0.21/0.59 % Total time : 0.004000 s
% 0.21/0.59 % SZS output end Proof
% 0.21/0.59 % Total time : 0.007000 s
%------------------------------------------------------------------------------