TSTP Solution File: SYN557-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN557-1 : 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 : n018.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 0.20s 0.58s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 15
% Syntax : Number of formulae : 30 ( 15 unt; 8 typ; 0 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 20 ( 11 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 4 >; 3 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 33 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
p2: ( $i * $i ) > $o ).
tff(decl_23,type,
p4: ( $i * $i ) > $o ).
tff(decl_24,type,
c6: $i ).
tff(decl_25,type,
c8: $i ).
tff(decl_26,type,
c9: $i ).
tff(decl_27,type,
f5: $i > $i ).
tff(decl_28,type,
f3: ( $i * $i ) > $i ).
tff(decl_29,type,
c7: $i ).
cnf(p2_6,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_6) ).
cnf(p2_1,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_1) ).
cnf(p2_10,negated_conjecture,
p2(f3(X1,f3(X2,X3)),f3(X2,f3(X1,X3))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_10) ).
cnf(p2_12,negated_conjecture,
p2(f3(c6,f5(c7)),f3(c8,f3(f5(c7),f5(c9)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_12) ).
cnf(p2_4,negated_conjecture,
p2(f3(X1,X2),f3(X2,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_4) ).
cnf(p2_8,negated_conjecture,
( p2(X1,X2)
| ~ p2(f3(X1,X3),f3(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_8) ).
cnf(not_p2_3,negated_conjecture,
~ p2(c6,f3(c8,f5(c9))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_3) ).
cnf(c_0_7,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
p2_6 ).
cnf(c_0_8,negated_conjecture,
p2(X1,X1),
p2_1 ).
cnf(c_0_9,negated_conjecture,
p2(f3(X1,f3(X2,X3)),f3(X2,f3(X1,X3))),
p2_10 ).
cnf(c_0_10,negated_conjecture,
( p2(X1,X2)
| ~ p2(X2,X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,negated_conjecture,
p2(f3(c6,f5(c7)),f3(c8,f3(f5(c7),f5(c9)))),
p2_12 ).
cnf(c_0_12,negated_conjecture,
( p2(X1,f3(X2,f3(X3,X4)))
| ~ p2(f3(X3,f3(X2,X4)),X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_9]) ).
cnf(c_0_13,negated_conjecture,
p2(f3(c8,f3(f5(c7),f5(c9))),f3(c6,f5(c7))),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,negated_conjecture,
p2(f3(X1,X2),f3(X2,X1)),
p2_4 ).
cnf(c_0_15,negated_conjecture,
p2(f3(c6,f5(c7)),f3(f5(c7),f3(c8,f5(c9)))),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,negated_conjecture,
( p2(X1,f3(X2,X3))
| ~ p2(f3(X3,X2),X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_14]) ).
cnf(c_0_17,negated_conjecture,
p2(f3(f5(c7),f3(c8,f5(c9))),f3(c6,f5(c7))),
inference(spm,[status(thm)],[c_0_10,c_0_15]) ).
cnf(c_0_18,negated_conjecture,
( p2(X1,X2)
| ~ p2(f3(X1,X3),f3(X2,X3)) ),
p2_8 ).
cnf(c_0_19,negated_conjecture,
p2(f3(c6,f5(c7)),f3(f3(c8,f5(c9)),f5(c7))),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,negated_conjecture,
~ p2(c6,f3(c8,f5(c9))),
not_p2_3 ).
cnf(c_0_21,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN557-1 : 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
% 0.13/0.34 % Computer : n018.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 : Sat Aug 26 21:48:15 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.56 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
% 0.20/0.58 % Total time : 0.007000 s
% 0.20/0.58 % SZS output end Proof
% 0.20/0.58 % Total time : 0.010000 s
%------------------------------------------------------------------------------