TSTP Solution File: SYN654-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN654-1 : 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 : n005.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 01:53:38 EDT 2023
% Result : Unsatisfiable 4.33s 4.47s
% Output : CNFRefutation 4.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 39
% Syntax : Number of formulae : 54 ( 8 unt; 32 typ; 0 def)
% Number of atoms : 39 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 36 ( 19 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 84 ( 20 >; 64 *; 0 +; 0 <<)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 12 con; 0-8 aty)
% Number of variables : 121 ( 36 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
p10: ( $i * $i ) > $o ).
tff(decl_23,type,
p9: ( $i * $i ) > $o ).
tff(decl_24,type,
p8: ( $i * $i ) > $o ).
tff(decl_25,type,
p7: ( $i * $i ) > $o ).
tff(decl_26,type,
p6: ( $i * $i ) > $o ).
tff(decl_27,type,
p5: ( $i * $i ) > $o ).
tff(decl_28,type,
p3: ( $i * $i ) > $o ).
tff(decl_29,type,
p2: ( $i * $i ) > $o ).
tff(decl_30,type,
p12: ( $i * $i ) > $o ).
tff(decl_31,type,
c22: $i ).
tff(decl_32,type,
c23: $i ).
tff(decl_33,type,
f4: $i > $i ).
tff(decl_34,type,
p21: ( $i * $i ) > $o ).
tff(decl_35,type,
f13: $i > $i ).
tff(decl_36,type,
f11: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_37,type,
c24: $i ).
tff(decl_38,type,
c25: $i ).
tff(decl_39,type,
c26: $i ).
tff(decl_40,type,
c27: $i ).
tff(decl_41,type,
c28: $i ).
tff(decl_42,type,
c29: $i ).
tff(decl_43,type,
c30: $i ).
tff(decl_44,type,
c31: $i ).
tff(decl_45,type,
c32: $i ).
tff(decl_46,type,
c33: $i ).
tff(decl_47,type,
f20: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_48,type,
f15: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_49,type,
f16: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_50,type,
f17: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_51,type,
f14: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_52,type,
f19: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_53,type,
f18: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
cnf(p8_18,negated_conjecture,
( p8(X1,X2)
| ~ p8(X3,X1)
| ~ p8(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_18) ).
cnf(p8_3,negated_conjecture,
p8(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_3) ).
cnf(p8_36,negated_conjecture,
( p8(X1,f16(X2,X3,X4,X5,X6,X7,X1,X8))
| ~ p21(f11(X3,X4,X7,X1,X8,X5),X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_36) ).
cnf(p8_31,negated_conjecture,
( p8(X1,X2)
| ~ p3(f11(X3,X4,X5,X1,X6,X7),f11(X8,X9,X10,X2,X11,X12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_31) ).
cnf(p3_48,negated_conjecture,
( p3(X1,f11(f19(X2,X3,X4,X5,X1,X6,X7,X8),f18(X2,X3,X4,X5,X1,X6,X7,X8),f17(X2,X3,X4,X5,X1,X6,X7,X8),f16(X2,X3,X4,X5,X1,X6,X7,X8),f15(X2,X3,X4,X5,X1,X6,X7,X8),f14(X2,X3,X4,X5,X1,X6,X7,X8)))
| ~ p21(f11(X3,X4,X6,X7,X8,X5),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_48) ).
cnf(p21_27,negated_conjecture,
p21(f11(c24,c25,c26,c22,c27,c28),f11(c29,c30,c31,c23,c32,c33)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21_27) ).
cnf(not_p8_10,negated_conjecture,
~ p8(c22,c23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p8_10) ).
cnf(c_0_7,negated_conjecture,
( p8(X1,X2)
| ~ p8(X3,X1)
| ~ p8(X3,X2) ),
p8_18 ).
cnf(c_0_8,negated_conjecture,
p8(X1,X1),
p8_3 ).
cnf(c_0_9,negated_conjecture,
( p8(X1,X2)
| ~ p8(X2,X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_10,negated_conjecture,
( p8(X1,f16(X2,X3,X4,X5,X6,X7,X1,X8))
| ~ p21(f11(X3,X4,X7,X1,X8,X5),X6) ),
p8_36 ).
cnf(c_0_11,negated_conjecture,
( p8(X1,X2)
| ~ p3(f11(X3,X4,X5,X1,X6,X7),f11(X8,X9,X10,X2,X11,X12)) ),
p8_31 ).
cnf(c_0_12,negated_conjecture,
( p3(X1,f11(f19(X2,X3,X4,X5,X1,X6,X7,X8),f18(X2,X3,X4,X5,X1,X6,X7,X8),f17(X2,X3,X4,X5,X1,X6,X7,X8),f16(X2,X3,X4,X5,X1,X6,X7,X8),f15(X2,X3,X4,X5,X1,X6,X7,X8),f14(X2,X3,X4,X5,X1,X6,X7,X8)))
| ~ p21(f11(X3,X4,X6,X7,X8,X5),X1) ),
p3_48 ).
cnf(c_0_13,negated_conjecture,
( p8(f16(X1,X2,X3,X4,X5,X6,X7,X8),X7)
| ~ p21(f11(X2,X3,X6,X7,X8,X4),X5) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,negated_conjecture,
( p8(X1,f16(X2,X3,X4,X5,f11(X6,X7,X8,X1,X9,X10),X11,X12,X13))
| ~ p21(f11(X3,X4,X11,X12,X13,X5),f11(X6,X7,X8,X1,X9,X10)) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,negated_conjecture,
( p8(X1,X2)
| ~ p21(f11(X3,X4,X5,X2,X6,X7),X8)
| ~ p8(f16(X9,X3,X4,X7,X8,X5,X2,X6),X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_13]) ).
cnf(c_0_16,negated_conjecture,
( p8(f16(X1,X2,X3,X4,f11(X5,X6,X7,X8,X9,X10),X11,X12,X13),X8)
| ~ p21(f11(X2,X3,X11,X12,X13,X4),f11(X5,X6,X7,X8,X9,X10)) ),
inference(spm,[status(thm)],[c_0_9,c_0_14]) ).
cnf(c_0_17,negated_conjecture,
( p8(X1,X2)
| ~ p21(f11(X3,X4,X5,X2,X6,X7),f11(X8,X9,X10,X1,X11,X12)) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_18,negated_conjecture,
p21(f11(c24,c25,c26,c22,c27,c28),f11(c29,c30,c31,c23,c32,c33)),
p21_27 ).
cnf(c_0_19,negated_conjecture,
p8(c23,c22),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_20,negated_conjecture,
~ p8(c22,c23),
not_p8_10 ).
cnf(c_0_21,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_19]),c_0_20]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.21 % Problem : SYN654-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.22 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.43 % Computer : n005.cluster.edu
% 0.13/0.43 % Model : x86_64 x86_64
% 0.13/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.43 % Memory : 8042.1875MB
% 0.13/0.43 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.43 % CPULimit : 300
% 0.13/0.43 % WCLimit : 300
% 0.13/0.43 % DateTime : Sat Aug 26 21:40:08 EDT 2023
% 0.13/0.43 % CPUTime :
% 0.20/0.64 start to proof: theBenchmark
% 4.33/4.47 % Version : CSE_E---1.5
% 4.33/4.47 % Problem : theBenchmark.p
% 4.33/4.47 % Proof found
% 4.33/4.47 % SZS status Theorem for theBenchmark.p
% 4.33/4.47 % SZS output start Proof
% See solution above
% 4.33/4.48 % Total time : 3.817000 s
% 4.33/4.48 % SZS output end Proof
% 4.33/4.48 % Total time : 3.821000 s
%------------------------------------------------------------------------------