TSTP Solution File: SYN559-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN559-1 : 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 : n011.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 : Fri Sep 1 01:53:13 EDT 2023
% Result : Unsatisfiable 0.19s 0.59s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 22
% Syntax : Number of formulae : 37 ( 15 unt; 14 typ; 0 def)
% Number of atoms : 38 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 33 ( 18 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 13 ( 7 >; 6 *; 0 +; 0 <<)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 17 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
p2: ( $i * $i ) > $o ).
tff(decl_23,type,
c13: $i ).
tff(decl_24,type,
c9: $i ).
tff(decl_25,type,
p8: ( $i * $i ) > $o ).
tff(decl_26,type,
c10: $i ).
tff(decl_27,type,
p7: ( $i * $i ) > $o ).
tff(decl_28,type,
f6: ( $i * $i ) > $i ).
tff(decl_29,type,
c14: $i ).
tff(decl_30,type,
f5: ( $i * $i ) > $i ).
tff(decl_31,type,
c15: $i ).
tff(decl_32,type,
c11: $i ).
tff(decl_33,type,
f4: $i > $i ).
tff(decl_34,type,
c12: $i ).
tff(decl_35,type,
f3: ( $i * $i ) > $i ).
cnf(p2_8,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_8) ).
cnf(p2_1,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_1) ).
cnf(p2_5,negated_conjecture,
p2(f5(c14,c10),c15),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_5) ).
cnf(p2_6,negated_conjecture,
p2(f3(f4(c11),c12),c15),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_6) ).
cnf(not_p8_14,negated_conjecture,
( ~ p8(X1,c9)
| ~ p7(c10,X1)
| ~ p2(f6(c9,X1),X2)
| ~ p2(f5(X2,c10),f3(f4(c11),c12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p8_14) ).
cnf(p2_4,negated_conjecture,
p2(f6(c9,c13),c14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_4) ).
cnf(p7_3,negated_conjecture,
p7(c10,c13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_3) ).
cnf(p8_2,negated_conjecture,
p8(c13,c9),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_2) ).
cnf(c_0_8,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
p2_8 ).
cnf(c_0_9,negated_conjecture,
p2(X1,X1),
p2_1 ).
cnf(c_0_10,negated_conjecture,
( p2(X1,X2)
| ~ p2(X2,X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_11,negated_conjecture,
p2(f5(c14,c10),c15),
p2_5 ).
cnf(c_0_12,negated_conjecture,
p2(c15,f5(c14,c10)),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_13,negated_conjecture,
( p2(X1,f5(c14,c10))
| ~ p2(c15,X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_12]) ).
cnf(c_0_14,negated_conjecture,
p2(f3(f4(c11),c12),c15),
p2_6 ).
cnf(c_0_15,negated_conjecture,
( ~ p8(X1,c9)
| ~ p7(c10,X1)
| ~ p2(f6(c9,X1),X2)
| ~ p2(f5(X2,c10),f3(f4(c11),c12)) ),
not_p8_14 ).
cnf(c_0_16,negated_conjecture,
( p2(f5(c14,c10),X1)
| ~ p2(c15,X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_13]) ).
cnf(c_0_17,negated_conjecture,
p2(c15,f3(f4(c11),c12)),
inference(spm,[status(thm)],[c_0_10,c_0_14]) ).
cnf(c_0_18,negated_conjecture,
( ~ p7(c10,X1)
| ~ p8(X1,c9)
| ~ p2(f6(c9,X1),c14) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17])]) ).
cnf(c_0_19,negated_conjecture,
p2(f6(c9,c13),c14),
p2_4 ).
cnf(c_0_20,negated_conjecture,
p7(c10,c13),
p7_3 ).
cnf(c_0_21,negated_conjecture,
p8(c13,c9),
p8_2 ).
cnf(c_0_22,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]),c_0_21])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN559-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.33 % Computer : n011.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sat Aug 26 20:35:24 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.57 start to proof: theBenchmark
% 0.19/0.59 % Version : CSE_E---1.5
% 0.19/0.59 % Problem : theBenchmark.p
% 0.19/0.59 % Proof found
% 0.19/0.59 % SZS status Theorem for theBenchmark.p
% 0.19/0.59 % SZS output start Proof
% See solution above
% 0.19/0.59 % Total time : 0.008000 s
% 0.19/0.59 % SZS output end Proof
% 0.19/0.59 % Total time : 0.010000 s
%------------------------------------------------------------------------------