TSTP Solution File: SYN603-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN603-1 : 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 : n024.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 01:53:25 EDT 2023
% Result : Unsatisfiable 2.99s 3.06s
% Output : CNFRefutation 2.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 30
% Syntax : Number of formulae : 44 ( 13 unt; 22 typ; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 39 ( 21 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 23 ( 14 >; 9 *; 0 +; 0 <<)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 8 con; 0-2 aty)
% Number of variables : 30 ( 3 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
c20: $i ).
tff(decl_23,type,
p14: $i > $o ).
tff(decl_24,type,
p2: ( $i * $i ) > $o ).
tff(decl_25,type,
c22: $i ).
tff(decl_26,type,
c21: $i ).
tff(decl_27,type,
p15: ( $i * $i ) > $o ).
tff(decl_28,type,
c18: $i ).
tff(decl_29,type,
f3: $i > $i ).
tff(decl_30,type,
c19: $i ).
tff(decl_31,type,
c23: $i ).
tff(decl_32,type,
f9: ( $i * $i ) > $i ).
tff(decl_33,type,
c16: $i ).
tff(decl_34,type,
f4: $i > $i ).
tff(decl_35,type,
c17: $i ).
tff(decl_36,type,
f10: $i > $i ).
tff(decl_37,type,
f5: $i > $i ).
tff(decl_38,type,
p13: ( $i * $i ) > $o ).
tff(decl_39,type,
f11: $i > $i ).
tff(decl_40,type,
p12: ( $i * $i * $i ) > $o ).
tff(decl_41,type,
f8: ( $i * $i ) > $i ).
tff(decl_42,type,
f7: ( $i * $i ) > $i ).
tff(decl_43,type,
f6: ( $i * $i ) > $i ).
cnf(p2_14,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_14) ).
cnf(p2_2,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_2) ).
cnf(p2_21,negated_conjecture,
( p2(f6(X1,X2),f6(X3,X4))
| ~ p2(X1,X3)
| ~ p2(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_21) ).
cnf(p2_19,negated_conjecture,
p2(f7(f8(c21,c22),c20),f6(f5(f4(c16)),f3(f4(c16)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_19) ).
cnf(not_p15_26,negated_conjecture,
( ~ p15(X1,c21)
| ~ p2(X1,f9(c20,X2))
| ~ p2(f7(f8(c21,X1),c20),f6(f5(f4(c16)),c17)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p15_26) ).
cnf(p15_3,negated_conjecture,
p15(c22,c21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15_3) ).
cnf(p2_6,negated_conjecture,
p2(f3(f4(c16)),c17),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_6) ).
cnf(p2_5,negated_conjecture,
p2(c22,f9(c20,c23)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_5) ).
cnf(c_0_8,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
p2_14 ).
cnf(c_0_9,negated_conjecture,
p2(X1,X1),
p2_2 ).
cnf(c_0_10,negated_conjecture,
( p2(f6(X1,X2),f6(X3,X4))
| ~ p2(X1,X3)
| ~ p2(X2,X4) ),
p2_21 ).
cnf(c_0_11,negated_conjecture,
( p2(X1,X2)
| ~ p2(X2,X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,negated_conjecture,
p2(f7(f8(c21,c22),c20),f6(f5(f4(c16)),f3(f4(c16)))),
p2_19 ).
cnf(c_0_13,negated_conjecture,
( p2(X1,f6(X2,X3))
| ~ p2(f6(X4,X5),X1)
| ~ p2(X5,X3)
| ~ p2(X4,X2) ),
inference(spm,[status(thm)],[c_0_8,c_0_10]) ).
cnf(c_0_14,negated_conjecture,
p2(f6(f5(f4(c16)),f3(f4(c16))),f7(f8(c21,c22),c20)),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,negated_conjecture,
( ~ p15(X1,c21)
| ~ p2(X1,f9(c20,X2))
| ~ p2(f7(f8(c21,X1),c20),f6(f5(f4(c16)),c17)) ),
not_p15_26 ).
cnf(c_0_16,negated_conjecture,
( p2(f7(f8(c21,c22),c20),f6(X1,X2))
| ~ p2(f3(f4(c16)),X2)
| ~ p2(f5(f4(c16)),X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,negated_conjecture,
p15(c22,c21),
p15_3 ).
cnf(c_0_18,negated_conjecture,
p2(f3(f4(c16)),c17),
p2_6 ).
cnf(c_0_19,negated_conjecture,
p2(c22,f9(c20,c23)),
p2_5 ).
cnf(c_0_20,negated_conjecture,
~ p2(c22,f9(c20,X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]),c_0_18]),c_0_9])]) ).
cnf(c_0_21,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_19,c_0_20]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SYN603-1 : TPTP v8.1.2. Released v2.5.0.
% 0.08/0.15 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.36 % Computer : n024.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat Aug 26 21:37:08 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.62 start to proof: theBenchmark
% 2.99/3.06 % Version : CSE_E---1.5
% 2.99/3.06 % Problem : theBenchmark.p
% 2.99/3.06 % Proof found
% 2.99/3.06 % SZS status Theorem for theBenchmark.p
% 2.99/3.06 % SZS output start Proof
% See solution above
% 2.99/3.06 % Total time : 2.427000 s
% 2.99/3.06 % SZS output end Proof
% 2.99/3.06 % Total time : 2.429000 s
%------------------------------------------------------------------------------