TSTP Solution File: SYN636-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN636-1 : 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 : n014.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 01:53:34 EDT 2023
% Result : Unsatisfiable 0.20s 0.60s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 39
% Syntax : Number of formulae : 53 ( 11 unt; 31 typ; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 32 ( 14 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 42 ( 21 >; 21 *; 0 +; 0 <<)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 10 con; 0-3 aty)
% Number of variables : 36 ( 6 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,
p5: ( $i * $i ) > $o ).
tff(decl_25,type,
p3: ( $i * $i ) > $o ).
tff(decl_26,type,
p2: ( $i * $i ) > $o ).
tff(decl_27,type,
p14: ( $i * $i ) > $o ).
tff(decl_28,type,
c23: $i ).
tff(decl_29,type,
c24: $i ).
tff(decl_30,type,
f8: $i > $i ).
tff(decl_31,type,
f7: ( $i * $i ) > $i ).
tff(decl_32,type,
f6: ( $i * $i ) > $i ).
tff(decl_33,type,
f4: $i > $i ).
tff(decl_34,type,
f12: $i > $i ).
tff(decl_35,type,
f15: $i > $i ).
tff(decl_36,type,
f16: $i > $i ).
tff(decl_37,type,
p22: ( $i * $i ) > $o ).
tff(decl_38,type,
p21: ( $i * $i ) > $o ).
tff(decl_39,type,
f13: ( $i * $i ) > $i ).
tff(decl_40,type,
c25: $i ).
tff(decl_41,type,
c26: $i ).
tff(decl_42,type,
c27: $i ).
tff(decl_43,type,
c28: $i ).
tff(decl_44,type,
f11: ( $i * $i * $i ) > $i ).
tff(decl_45,type,
c29: $i ).
tff(decl_46,type,
f20: ( $i * $i * $i ) > $i ).
tff(decl_47,type,
f19: ( $i * $i * $i ) > $i ).
tff(decl_48,type,
f18: ( $i * $i * $i ) > $i ).
tff(decl_49,type,
f17: ( $i * $i * $i ) > $i ).
tff(decl_50,type,
c30: $i ).
tff(decl_51,type,
c32: $i ).
tff(decl_52,type,
c31: $i ).
cnf(p21_27,negated_conjecture,
( p21(f12(f13(c28,c29)),f12(f13(c28,X1)))
| ~ p22(X1,f15(f6(c25,f7(c23,c26)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21_27) ).
cnf(p3_34,negated_conjecture,
( p3(f4(X1),f8(c24))
| p22(f20(X1,X2,X3),f15(X1))
| p10(f11(X1,c27,X2),f11(X1,c27,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_34) ).
cnf(p3_17,negated_conjecture,
( p3(X1,X2)
| ~ p3(X3,X1)
| ~ p3(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_17) ).
cnf(p3_8,negated_conjecture,
p3(f4(f6(X1,f7(X2,X3))),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_8) ).
cnf(p3_37,negated_conjecture,
( p3(f4(X1),f8(c24))
| p10(f11(X1,c27,X2),f11(X1,c27,X3))
| ~ p21(f12(f13(X2,X3)),f12(f13(X2,f20(X1,X2,X3)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_37) ).
cnf(not_p10_25,negated_conjecture,
~ p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p10_25) ).
cnf(p3_4,negated_conjecture,
p3(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_4) ).
cnf(not_p3_7,negated_conjecture,
~ p3(c23,f8(c24)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p3_7) ).
cnf(c_0_8,negated_conjecture,
( p21(f12(f13(c28,c29)),f12(f13(c28,X1)))
| ~ p22(X1,f15(f6(c25,f7(c23,c26)))) ),
p21_27 ).
cnf(c_0_9,negated_conjecture,
( p3(f4(X1),f8(c24))
| p22(f20(X1,X2,X3),f15(X1))
| p10(f11(X1,c27,X2),f11(X1,c27,X3)) ),
p3_34 ).
cnf(c_0_10,negated_conjecture,
( p3(X1,X2)
| ~ p3(X3,X1)
| ~ p3(X3,X2) ),
p3_17 ).
cnf(c_0_11,negated_conjecture,
p3(f4(f6(X1,f7(X2,X3))),X2),
p3_8 ).
cnf(c_0_12,negated_conjecture,
( p3(f4(X1),f8(c24))
| p10(f11(X1,c27,X2),f11(X1,c27,X3))
| ~ p21(f12(f13(X2,X3)),f12(f13(X2,f20(X1,X2,X3)))) ),
p3_37 ).
cnf(c_0_13,negated_conjecture,
( p21(f12(f13(c28,c29)),f12(f13(c28,f20(f6(c25,f7(c23,c26)),X1,X2))))
| p3(f4(f6(c25,f7(c23,c26))),f8(c24))
| p10(f11(f6(c25,f7(c23,c26)),c27,X1),f11(f6(c25,f7(c23,c26)),c27,X2)) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_14,negated_conjecture,
~ p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29)),
not_p10_25 ).
cnf(c_0_15,negated_conjecture,
p3(X1,X1),
p3_4 ).
cnf(c_0_16,negated_conjecture,
( p3(X1,X2)
| ~ p3(f4(f6(X3,f7(X2,X4))),X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_17,negated_conjecture,
p3(f4(f6(c25,f7(c23,c26))),f8(c24)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]) ).
cnf(c_0_18,negated_conjecture,
( p3(X1,X2)
| ~ p3(X2,X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_15]) ).
cnf(c_0_19,negated_conjecture,
p3(f8(c24),c23),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,negated_conjecture,
~ p3(c23,f8(c24)),
not_p3_7 ).
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 : SYN636-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n014.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sat Aug 26 21:10:47 EDT 2023
% 0.20/0.34 % CPUTime :
% 0.20/0.57 start to proof: theBenchmark
% 0.20/0.60 % Version : CSE_E---1.5
% 0.20/0.60 % Problem : theBenchmark.p
% 0.20/0.60 % Proof found
% 0.20/0.60 % SZS status Theorem for theBenchmark.p
% 0.20/0.60 % SZS output start Proof
% See solution above
% 0.20/0.61 % Total time : 0.022000 s
% 0.20/0.61 % SZS output end Proof
% 0.20/0.61 % Total time : 0.025000 s
%------------------------------------------------------------------------------