TSTP Solution File: SYN647-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN647-1 : 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 : n006.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 01:53:37 EDT 2023
% Result : Unsatisfiable 0.21s 0.58s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 34
% Syntax : Number of formulae : 51 ( 20 unt; 24 typ; 0 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 33 ( 18 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 10 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 30 ( 20 >; 10 *; 0 +; 0 <<)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 4 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
c22: $i ).
tff(decl_23,type,
p18: $i > $o ).
tff(decl_24,type,
p10: ( $i * $i ) > $o ).
tff(decl_25,type,
p4: ( $i * $i ) > $o ).
tff(decl_26,type,
p3: ( $i * $i ) > $o ).
tff(decl_27,type,
p2: ( $i * $i ) > $o ).
tff(decl_28,type,
p16: ( $i * $i ) > $o ).
tff(decl_29,type,
c25: $i ).
tff(decl_30,type,
f17: $i > $i ).
tff(decl_31,type,
p21: ( $i * $i ) > $o ).
tff(decl_32,type,
c23: $i ).
tff(decl_33,type,
f11: $i > $i ).
tff(decl_34,type,
f12: $i > $i ).
tff(decl_35,type,
c24: $i ).
tff(decl_36,type,
f7: $i > $i ).
tff(decl_37,type,
f14: $i > $i ).
tff(decl_38,type,
p20: ( $i * $i ) > $o ).
tff(decl_39,type,
p19: ( $i * $i ) > $o ).
tff(decl_40,type,
f13: $i > $i ).
tff(decl_41,type,
f15: $i > $i ).
tff(decl_42,type,
f8: $i > $i ).
tff(decl_43,type,
f9: $i > $i ).
tff(decl_44,type,
f5: ( $i * $i ) > $i ).
tff(decl_45,type,
f6: ( $i * $i ) > $i ).
cnf(p2_28,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_28) ).
cnf(p2_14,negated_conjecture,
p2(f13(f11(c23)),f13(f11(c22))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_14) ).
cnf(p2_35,negated_conjecture,
p2(f13(f11(c23)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_35) ).
cnf(p2_5,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_5) ).
cnf(p2_36,negated_conjecture,
p2(f13(f11(c25)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_36) ).
cnf(p21_40,negated_conjecture,
( p21(f17(X1),f17(X2))
| ~ p2(f12(f11(X1)),f7(c24))
| ~ p2(f12(f11(X2)),f7(c24))
| ~ p2(f13(f11(X1)),f13(f11(X2)))
| ~ p20(f14(f11(X1)),f14(f11(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21_40) ).
cnf(p20_12,negated_conjecture,
p20(f14(f11(c25)),f14(f11(c22))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p20_12) ).
cnf(p2_9,negated_conjecture,
p2(f12(f11(c22)),f7(c24)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_9) ).
cnf(p2_10,negated_conjecture,
p2(f12(f11(c25)),f7(c24)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_10) ).
cnf(not_p21_7,negated_conjecture,
~ p21(f17(c25),f17(c22)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p21_7) ).
cnf(c_0_10,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
p2_28 ).
cnf(c_0_11,negated_conjecture,
p2(f13(f11(c23)),f13(f11(c22))),
p2_14 ).
cnf(c_0_12,negated_conjecture,
( p2(X1,f13(f11(c22)))
| ~ p2(f13(f11(c23)),X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_13,negated_conjecture,
p2(f13(f11(c23)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
p2_35 ).
cnf(c_0_14,negated_conjecture,
p2(X1,X1),
p2_5 ).
cnf(c_0_15,negated_conjecture,
p2(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f13(f11(c22))),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,negated_conjecture,
( p2(X1,X2)
| ~ p2(X2,X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_14]) ).
cnf(c_0_17,negated_conjecture,
p2(f13(f11(c25)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
p2_36 ).
cnf(c_0_18,negated_conjecture,
( p21(f17(X1),f17(X2))
| ~ p2(f12(f11(X1)),f7(c24))
| ~ p2(f12(f11(X2)),f7(c24))
| ~ p2(f13(f11(X1)),f13(f11(X2)))
| ~ p20(f14(f11(X1)),f14(f11(X2))) ),
p21_40 ).
cnf(c_0_19,negated_conjecture,
p20(f14(f11(c25)),f14(f11(c22))),
p20_12 ).
cnf(c_0_20,negated_conjecture,
p2(f12(f11(c22)),f7(c24)),
p2_9 ).
cnf(c_0_21,negated_conjecture,
p2(f12(f11(c25)),f7(c24)),
p2_10 ).
cnf(c_0_22,negated_conjecture,
~ p21(f17(c25),f17(c22)),
not_p21_7 ).
cnf(c_0_23,negated_conjecture,
( p2(X1,f13(f11(c22)))
| ~ p2(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_15]) ).
cnf(c_0_24,negated_conjecture,
p2(f7(f8(f9(f8(f9(f9(f9(f9(f8(c24))))))))),f13(f11(c25))),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_25,negated_conjecture,
~ p2(f13(f11(c25)),f13(f11(c22))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]),c_0_21])]),c_0_22]) ).
cnf(c_0_26,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN647-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35 % Computer : n006.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 18:59:37 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.56 start to proof: theBenchmark
% 0.21/0.58 % Version : CSE_E---1.5
% 0.21/0.58 % Problem : theBenchmark.p
% 0.21/0.58 % Proof found
% 0.21/0.58 % SZS status Theorem for theBenchmark.p
% 0.21/0.58 % SZS output start Proof
% See solution above
% 0.21/0.59 % Total time : 0.012000 s
% 0.21/0.59 % SZS output end Proof
% 0.21/0.59 % Total time : 0.016000 s
%------------------------------------------------------------------------------