TSTP Solution File: SYN662-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN662-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/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 01:53:41 EDT 2023
% Result : Unsatisfiable 0.21s 0.70s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 43
% Syntax : Number of formulae : 55 ( 12 unt; 36 typ; 0 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 27 ( 15 ~; 12 |; 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 : 47 ( 26 >; 21 *; 0 +; 0 <<)
% Number of predicates : 16 ( 15 usr; 1 prp; 0-3 aty)
% Number of functors : 21 ( 21 usr; 10 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
c28: $i ).
tff(decl_23,type,
p22: $i > $o ).
tff(decl_24,type,
p10: ( $i * $i ) > $o ).
tff(decl_25,type,
p7: ( $i * $i ) > $o ).
tff(decl_26,type,
p6: ( $i * $i ) > $o ).
tff(decl_27,type,
p3: ( $i * $i ) > $o ).
tff(decl_28,type,
p2: ( $i * $i ) > $o ).
tff(decl_29,type,
p19: ( $i * $i ) > $o ).
tff(decl_30,type,
p18: ( $i * $i ) > $o ).
tff(decl_31,type,
p14: ( $i * $i ) > $o ).
tff(decl_32,type,
p12: ( $i * $i ) > $o ).
tff(decl_33,type,
c33: $i ).
tff(decl_34,type,
c36: $i ).
tff(decl_35,type,
p25: ( $i * $i ) > $o ).
tff(decl_36,type,
c32: $i ).
tff(decl_37,type,
c31: $i ).
tff(decl_38,type,
f9: $i > $i ).
tff(decl_39,type,
c29: $i ).
tff(decl_40,type,
f8: $i > $i ).
tff(decl_41,type,
c30: $i ).
tff(decl_42,type,
c37: $i ).
tff(decl_43,type,
f20: ( $i * $i ) > $i ).
tff(decl_44,type,
c34: $i ).
tff(decl_45,type,
p26: ( $i * $i ) > $o ).
tff(decl_46,type,
c35: $i ).
tff(decl_47,type,
f5: $i > $i ).
tff(decl_48,type,
f4: $i > $i ).
tff(decl_49,type,
p23: ( $i * $i * $i ) > $o ).
tff(decl_50,type,
f17: $i > $i ).
tff(decl_51,type,
f16: ( $i * $i ) > $i ).
tff(decl_52,type,
p27: ( $i * $i ) > $o ).
tff(decl_53,type,
p24: ( $i * $i ) > $o ).
tff(decl_54,type,
f11: ( $i * $i ) > $i ).
tff(decl_55,type,
f21: ( $i * $i ) > $i ).
tff(decl_56,type,
f13: ( $i * $i ) > $i ).
tff(decl_57,type,
f15: ( $i * $i ) > $i ).
cnf(p2_30,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_30) ).
cnf(p2_39,negated_conjecture,
p2(f11(f4(c32),c34),f16(f11(f4(c33),c34),f9(f17(c31)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_39) ).
cnf(p2_6,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_6) ).
cnf(not_p2_19,negated_conjecture,
~ p2(X1,f16(X1,f9(f17(c31)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_19) ).
cnf(p2_50,negated_conjecture,
( p2(f11(f4(X1),c34),f11(f4(c32),c34))
| ~ p25(X1,c36)
| ~ p25(c32,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_50) ).
cnf(p25_11,negated_conjecture,
p25(c33,c36),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25_11) ).
cnf(p25_12,negated_conjecture,
p25(c32,c33),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25_12) ).
cnf(c_0_7,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
p2_30 ).
cnf(c_0_8,negated_conjecture,
p2(f11(f4(c32),c34),f16(f11(f4(c33),c34),f9(f17(c31)))),
p2_39 ).
cnf(c_0_9,negated_conjecture,
p2(X1,X1),
p2_6 ).
cnf(c_0_10,negated_conjecture,
~ p2(X1,f16(X1,f9(f17(c31)))),
not_p2_19 ).
cnf(c_0_11,negated_conjecture,
( p2(X1,f16(f11(f4(c33),c34),f9(f17(c31))))
| ~ p2(f11(f4(c32),c34),X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_12,negated_conjecture,
( p2(X1,X2)
| ~ p2(X2,X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_9]) ).
cnf(c_0_13,negated_conjecture,
( p2(f11(f4(X1),c34),f11(f4(c32),c34))
| ~ p25(X1,c36)
| ~ p25(c32,X1) ),
p2_50 ).
cnf(c_0_14,negated_conjecture,
~ p2(f11(f4(c32),c34),f11(f4(c33),c34)),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,negated_conjecture,
( p2(f11(f4(c32),c34),f11(f4(X1),c34))
| ~ p25(X1,c36)
| ~ p25(c32,X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,negated_conjecture,
p25(c33,c36),
p25_11 ).
cnf(c_0_17,negated_conjecture,
p25(c32,c33),
p25_12 ).
cnf(c_0_18,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]),c_0_17])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN662-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n024.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 20:00:39 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.58 start to proof: theBenchmark
% 0.21/0.70 % Version : CSE_E---1.5
% 0.21/0.70 % Problem : theBenchmark.p
% 0.21/0.70 % Proof found
% 0.21/0.70 % SZS status Theorem for theBenchmark.p
% 0.21/0.70 % SZS output start Proof
% See solution above
% 0.21/0.71 % Total time : 0.110000 s
% 0.21/0.71 % SZS output end Proof
% 0.21/0.71 % Total time : 0.113000 s
%------------------------------------------------------------------------------