TSTP Solution File: SYN628-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN628-1 : 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 : n011.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 01:53:32 EDT 2023
% Result : Unsatisfiable 15.75s 15.87s
% Output : CNFRefutation 15.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 39
% Syntax : Number of formulae : 60 ( 12 unt; 28 typ; 0 def)
% Number of atoms : 77 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 93 ( 48 ~; 45 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 34 ( 20 >; 14 *; 0 +; 0 <<)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 8 con; 0-2 aty)
% Number of variables : 73 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
p2: ( $i * $i ) > $o ).
tff(decl_23,type,
p9: ( $i * $i ) > $o ).
tff(decl_24,type,
p6: ( $i * $i ) > $o ).
tff(decl_25,type,
p5: ( $i * $i ) > $o ).
tff(decl_26,type,
p3: ( $i * $i ) > $o ).
tff(decl_27,type,
c28: $i ).
tff(decl_28,type,
c22: $i ).
tff(decl_29,type,
p20: ( $i * $i ) > $o ).
tff(decl_30,type,
c26: $i ).
tff(decl_31,type,
c27: $i ).
tff(decl_32,type,
p21: ( $i * $i ) > $o ).
tff(decl_33,type,
c23: $i ).
tff(decl_34,type,
c24: $i ).
tff(decl_35,type,
c25: $i ).
tff(decl_36,type,
f8: ( $i * $i ) > $i ).
tff(decl_37,type,
f7: ( $i * $i ) > $i ).
tff(decl_38,type,
f4: $i > $i ).
tff(decl_39,type,
p19: ( $i * $i ) > $o ).
tff(decl_40,type,
f16: $i > $i ).
tff(decl_41,type,
f12: $i > $i ).
tff(decl_42,type,
f13: $i > $i ).
tff(decl_43,type,
f14: $i > $i ).
tff(decl_44,type,
f11: $i > $i ).
tff(decl_45,type,
f18: ( $i * $i ) > $i ).
tff(decl_46,type,
f17: ( $i * $i ) > $i ).
tff(decl_47,type,
f15: ( $i * $i ) > $i ).
tff(decl_48,type,
f10: ( $i * $i ) > $i ).
tff(decl_49,type,
c29: $i ).
cnf(p20_26,negated_conjecture,
( p20(X1,X2)
| ~ p9(X3,X1)
| ~ p9(X4,X2)
| ~ p20(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p20_26) ).
cnf(p20_34,negated_conjecture,
p20(f16(f17(c28,c27)),f10(f15(f7(c23,f8(c24,c25)),c28),f11(f12(f13(f14(c29)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p20_34) ).
cnf(p9_31,negated_conjecture,
( p9(f10(X1,X2),f10(X3,X4))
| ~ p9(X1,X3)
| ~ p9(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_31) ).
cnf(p9_20,negated_conjecture,
( p9(X1,X2)
| ~ p9(X3,X1)
| ~ p9(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_20) ).
cnf(p9_13,negated_conjecture,
( p9(f16(X1),f16(X2))
| ~ p9(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_13) ).
cnf(p9_30,negated_conjecture,
( p9(f15(X1,X2),f15(X3,X4))
| ~ p2(X1,X3)
| ~ p9(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_30) ).
cnf(p9_2,negated_conjecture,
p9(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_2) ).
cnf(p9_29,negated_conjecture,
( p9(f17(X1,X2),f17(X3,X4))
| ~ p9(X1,X3)
| ~ p9(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_29) ).
cnf(not_p20_35,negated_conjecture,
~ p20(f16(f17(c22,c27)),f10(f15(f7(c23,f8(c24,c25)),c22),f11(f12(f13(f14(c29)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p20_35) ).
cnf(p9_6,negated_conjecture,
p9(c28,c22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_6) ).
cnf(p2_1,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_1) ).
cnf(c_0_11,negated_conjecture,
( p20(X1,X2)
| ~ p9(X3,X1)
| ~ p9(X4,X2)
| ~ p20(X3,X4) ),
p20_26 ).
cnf(c_0_12,negated_conjecture,
p20(f16(f17(c28,c27)),f10(f15(f7(c23,f8(c24,c25)),c28),f11(f12(f13(f14(c29)))))),
p20_34 ).
cnf(c_0_13,negated_conjecture,
( p20(X1,X2)
| ~ p9(f10(f15(f7(c23,f8(c24,c25)),c28),f11(f12(f13(f14(c29))))),X2)
| ~ p9(f16(f17(c28,c27)),X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_14,negated_conjecture,
( p9(f10(X1,X2),f10(X3,X4))
| ~ p9(X1,X3)
| ~ p9(X2,X4) ),
p9_31 ).
cnf(c_0_15,negated_conjecture,
( p9(X1,X2)
| ~ p9(X3,X1)
| ~ p9(X3,X2) ),
p9_20 ).
cnf(c_0_16,negated_conjecture,
( p9(f16(X1),f16(X2))
| ~ p9(X1,X2) ),
p9_13 ).
cnf(c_0_17,negated_conjecture,
( p20(X1,f10(X2,X3))
| ~ p9(f15(f7(c23,f8(c24,c25)),c28),X2)
| ~ p9(f11(f12(f13(f14(c29)))),X3)
| ~ p9(f16(f17(c28,c27)),X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,negated_conjecture,
( p9(f15(X1,X2),f15(X3,X4))
| ~ p2(X1,X3)
| ~ p9(X2,X4) ),
p9_30 ).
cnf(c_0_19,negated_conjecture,
( p9(X1,f16(X2))
| ~ p9(f16(X3),X1)
| ~ p9(X3,X2) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,negated_conjecture,
( p20(X1,f10(f15(X2,X3),X4))
| ~ p9(f11(f12(f13(f14(c29)))),X4)
| ~ p9(f16(f17(c28,c27)),X1)
| ~ p9(c28,X3)
| ~ p2(f7(c23,f8(c24,c25)),X2) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_21,negated_conjecture,
p9(X1,X1),
p9_2 ).
cnf(c_0_22,negated_conjecture,
( p9(f16(X1),f16(X2))
| ~ p9(X3,X2)
| ~ p9(X3,X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_16]) ).
cnf(c_0_23,negated_conjecture,
( p9(f17(X1,X2),f17(X3,X4))
| ~ p9(X1,X3)
| ~ p9(X2,X4) ),
p9_29 ).
cnf(c_0_24,negated_conjecture,
~ p20(f16(f17(c22,c27)),f10(f15(f7(c23,f8(c24,c25)),c22),f11(f12(f13(f14(c29)))))),
not_p20_35 ).
cnf(c_0_25,negated_conjecture,
( p20(X1,f10(f15(X2,X3),f11(f12(f13(f14(c29))))))
| ~ p9(f16(f17(c28,c27)),X1)
| ~ p9(c28,X3)
| ~ p2(f7(c23,f8(c24,c25)),X2) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_26,negated_conjecture,
p9(c28,c22),
p9_6 ).
cnf(c_0_27,negated_conjecture,
p2(X1,X1),
p2_1 ).
cnf(c_0_28,negated_conjecture,
( p9(f16(X1),f16(f17(X2,X3)))
| ~ p9(f17(X4,X5),X1)
| ~ p9(X5,X3)
| ~ p9(X4,X2) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_29,negated_conjecture,
~ p9(f16(f17(c28,c27)),f16(f17(c22,c27))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),c_0_27])]) ).
cnf(c_0_30,negated_conjecture,
( p9(f16(f17(X1,X2)),f16(f17(X3,X4)))
| ~ p9(X2,X4)
| ~ p9(X1,X3) ),
inference(spm,[status(thm)],[c_0_28,c_0_21]) ).
cnf(c_0_31,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_21]),c_0_26])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN628-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35 % Computer : n011.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 19:56:24 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.58 start to proof: theBenchmark
% 15.75/15.87 % Version : CSE_E---1.5
% 15.75/15.87 % Problem : theBenchmark.p
% 15.75/15.87 % Proof found
% 15.75/15.87 % SZS status Theorem for theBenchmark.p
% 15.75/15.87 % SZS output start Proof
% See solution above
% 15.75/15.88 % Total time : 15.287000 s
% 15.75/15.88 % SZS output end Proof
% 15.75/15.88 % Total time : 15.291000 s
%------------------------------------------------------------------------------