TSTP Solution File: SYN625-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN625-1 : 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 : n022.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 01:53:31 EDT 2023
% Result : Unsatisfiable 0.21s 0.63s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 29
% Syntax : Number of formulae : 48 ( 11 unt; 20 typ; 0 def)
% Number of atoms : 53 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 47 ( 22 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 36 ( 17 >; 19 *; 0 +; 0 <<)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-5 aty)
% Number of variables : 47 ( 2 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
c21: $i ).
tff(decl_23,type,
p15: $i > $o ).
tff(decl_24,type,
p10: ( $i * $i ) > $o ).
tff(decl_25,type,
p8: ( $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,
c19: $i ).
tff(decl_31,type,
c20: $i ).
tff(decl_32,type,
f7: ( $i * $i ) > $i ).
tff(decl_33,type,
f4: ( $i * $i ) > $i ).
tff(decl_34,type,
p16: ( $i * $i * $i ) > $o ).
tff(decl_35,type,
f9: $i > $i ).
tff(decl_36,type,
p18: ( $i * $i * $i ) > $o ).
tff(decl_37,type,
f11: $i > $i ).
tff(decl_38,type,
f14: $i > $i ).
tff(decl_39,type,
p17: ( $i * $i ) > $o ).
tff(decl_40,type,
f13: ( $i * $i * $i ) > $i ).
tff(decl_41,type,
f12: ( $i * $i * $i * $i * $i ) > $i ).
cnf(f4_is_not_p15_8,negated_conjecture,
~ p15(f4(f7(c19,c20),c21)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f4_is_not_p15_8) ).
cnf(p15_15,negated_conjecture,
( p15(X1)
| p18(f9(X1),f14(X1),f14(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15_15) ).
cnf(p16_32,negated_conjecture,
( p16(f9(X1),X2,X3)
| p18(f9(X1),X2,X4)
| ~ p18(f9(f4(f7(X3,X5),X1)),X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_32) ).
cnf(not_p15_10,negated_conjecture,
( ~ p15(X1)
| ~ p18(f9(X1),X2,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p15_10) ).
cnf(c21_is_p15_1,negated_conjecture,
p15(c21),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c21_is_p15_1) ).
cnf(p18_34,negated_conjecture,
( p18(f9(X1),X2,X3)
| p16(f9(X1),f12(X1,X4,X5,X2,X3),X3)
| ~ p18(f9(f4(f7(X4,X5),X1)),X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_34) ).
cnf(p16_23,negated_conjecture,
( p16(X1,X2,X3)
| ~ p16(X1,X2,X4)
| ~ p16(X1,X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_23) ).
cnf(not_p17_16,negated_conjecture,
( ~ p17(X1,f11(c20))
| ~ p16(f9(c21),X1,c19) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p17_16) ).
cnf(p18_33,negated_conjecture,
( p18(f9(X1),X2,X3)
| p17(f12(X1,X4,X5,X2,X3),f11(X5))
| ~ p18(f9(f4(f7(X4,X5),X1)),X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_33) ).
cnf(c_0_9,negated_conjecture,
~ p15(f4(f7(c19,c20),c21)),
f4_is_not_p15_8 ).
cnf(c_0_10,negated_conjecture,
( p15(X1)
| p18(f9(X1),f14(X1),f14(X1)) ),
p15_15 ).
cnf(c_0_11,negated_conjecture,
( p16(f9(X1),X2,X3)
| p18(f9(X1),X2,X4)
| ~ p18(f9(f4(f7(X3,X5),X1)),X2,X4) ),
p16_32 ).
cnf(c_0_12,negated_conjecture,
p18(f9(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,negated_conjecture,
( ~ p15(X1)
| ~ p18(f9(X1),X2,X2) ),
not_p15_10 ).
cnf(c_0_14,negated_conjecture,
( p18(f9(c21),f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21)))
| p16(f9(c21),f14(f4(f7(c19,c20),c21)),c19) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,negated_conjecture,
p15(c21),
c21_is_p15_1 ).
cnf(c_0_16,negated_conjecture,
( p18(f9(X1),X2,X3)
| p16(f9(X1),f12(X1,X4,X5,X2,X3),X3)
| ~ p18(f9(f4(f7(X4,X5),X1)),X2,X3) ),
p18_34 ).
cnf(c_0_17,negated_conjecture,
( p16(X1,X2,X3)
| ~ p16(X1,X2,X4)
| ~ p16(X1,X4,X3) ),
p16_23 ).
cnf(c_0_18,negated_conjecture,
p16(f9(c21),f14(f4(f7(c19,c20),c21)),c19),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]) ).
cnf(c_0_19,negated_conjecture,
( p18(f9(c21),f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21)))
| p16(f9(c21),f12(c21,c19,c20,f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))),f14(f4(f7(c19,c20),c21))) ),
inference(spm,[status(thm)],[c_0_16,c_0_12]) ).
cnf(c_0_20,negated_conjecture,
( p16(f9(c21),X1,c19)
| ~ p16(f9(c21),X1,f14(f4(f7(c19,c20),c21))) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_21,negated_conjecture,
p16(f9(c21),f12(c21,c19,c20,f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))),f14(f4(f7(c19,c20),c21))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_19]),c_0_15])]) ).
cnf(c_0_22,negated_conjecture,
( ~ p17(X1,f11(c20))
| ~ p16(f9(c21),X1,c19) ),
not_p17_16 ).
cnf(c_0_23,negated_conjecture,
p16(f9(c21),f12(c21,c19,c20,f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))),c19),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_24,negated_conjecture,
~ p17(f12(c21,c19,c20,f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))),f11(c20)),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_25,negated_conjecture,
( p18(f9(X1),X2,X3)
| p17(f12(X1,X4,X5,X2,X3),f11(X5))
| ~ p18(f9(f4(f7(X4,X5),X1)),X2,X3) ),
p18_33 ).
cnf(c_0_26,negated_conjecture,
p18(f9(c21),f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_12])]) ).
cnf(c_0_27,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_26]),c_0_15])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN625-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 21:11:40 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.61 start to proof: theBenchmark
% 0.21/0.63 % Version : CSE_E---1.5
% 0.21/0.63 % Problem : theBenchmark.p
% 0.21/0.63 % Proof found
% 0.21/0.63 % SZS status Theorem for theBenchmark.p
% 0.21/0.63 % SZS output start Proof
% See solution above
% 0.21/0.64 % Total time : 0.013000 s
% 0.21/0.64 % SZS output end Proof
% 0.21/0.64 % Total time : 0.016000 s
%------------------------------------------------------------------------------