TSTP Solution File: SYN565-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN565-1 : 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 : n013.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 01:53:15 EDT 2023
% Result : Unsatisfiable 0.89s 0.95s
% Output : CNFRefutation 0.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 24
% Syntax : Number of formulae : 56 ( 24 unt; 11 typ; 0 def)
% Number of atoms : 79 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 70 ( 36 ~; 34 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 9 >; 7 *; 0 +; 0 <<)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 101 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
p2: ( $i * $i ) > $o ).
tff(decl_23,type,
p4: ( $i * $i ) > $o ).
tff(decl_24,type,
f7: $i > $i ).
tff(decl_25,type,
f5: $i > $i ).
tff(decl_26,type,
f8: ( $i * $i ) > $i ).
tff(decl_27,type,
f6: ( $i * $i ) > $i ).
tff(decl_28,type,
f3: ( $i * $i ) > $i ).
tff(decl_29,type,
p10: ( $i * $i ) > $o ).
tff(decl_30,type,
c11: $i ).
tff(decl_31,type,
c12: $i ).
tff(decl_32,type,
f9: ( $i * $i ) > $i ).
cnf(p4_9,negated_conjecture,
( p4(X1,X2)
| ~ p4(X3,X1)
| ~ p4(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_9) ).
cnf(p4_2,negated_conjecture,
p4(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_2) ).
cnf(p2_17,negated_conjecture,
( p2(f9(X1,X2),f9(X3,X4))
| ~ p2(X1,X3)
| ~ p2(X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_17) ).
cnf(p2_3,negated_conjecture,
p2(f5(f7(X1)),f5(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_3) ).
cnf(p4_4,negated_conjecture,
p4(f8(X1,X2),f6(X1,f7(X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_4) ).
cnf(p10_14,negated_conjecture,
( p10(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X4,X2)
| ~ p10(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_14) ).
cnf(p2_1,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_1) ).
cnf(p2_6,negated_conjecture,
( p2(f5(X1),f5(X2))
| ~ p4(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_6) ).
cnf(p10_13,negated_conjecture,
( p10(f9(X1,X2),X3)
| ~ p10(X1,f3(X3,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_13) ).
cnf(p10_10,negated_conjecture,
p10(f5(X1),f3(f5(f6(X1,X2)),f5(X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_10) ).
cnf(p2_8,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_8) ).
cnf(p4_5,negated_conjecture,
p4(f7(f8(X1,X2)),f8(X2,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_5) ).
cnf(not_p10_11,negated_conjecture,
~ p10(f9(f5(c11),f5(c12)),f5(f8(c12,c11))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p10_11) ).
cnf(c_0_13,negated_conjecture,
( p4(X1,X2)
| ~ p4(X3,X1)
| ~ p4(X3,X2) ),
p4_9 ).
cnf(c_0_14,negated_conjecture,
p4(X1,X1),
p4_2 ).
cnf(c_0_15,negated_conjecture,
( p2(f9(X1,X2),f9(X3,X4))
| ~ p2(X1,X3)
| ~ p2(X2,X4) ),
p2_17 ).
cnf(c_0_16,negated_conjecture,
p2(f5(f7(X1)),f5(X1)),
p2_3 ).
cnf(c_0_17,negated_conjecture,
( p4(X1,X2)
| ~ p4(X2,X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,negated_conjecture,
p4(f8(X1,X2),f6(X1,f7(X2))),
p4_4 ).
cnf(c_0_19,negated_conjecture,
( p10(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X4,X2)
| ~ p10(X3,X4) ),
p10_14 ).
cnf(c_0_20,negated_conjecture,
p2(X1,X1),
p2_1 ).
cnf(c_0_21,negated_conjecture,
( p2(f9(X1,f5(f7(X2))),f9(X3,f5(X2)))
| ~ p2(X1,X3) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_22,negated_conjecture,
( p2(f5(X1),f5(X2))
| ~ p4(X1,X2) ),
p2_6 ).
cnf(c_0_23,negated_conjecture,
p4(f6(X1,f7(X2)),f8(X1,X2)),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_24,negated_conjecture,
( p10(X1,X2)
| ~ p10(X3,X2)
| ~ p2(X3,X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_25,negated_conjecture,
p2(f9(X1,f5(f7(X2))),f9(X1,f5(X2))),
inference(spm,[status(thm)],[c_0_21,c_0_20]) ).
cnf(c_0_26,negated_conjecture,
( p10(f9(X1,X2),X3)
| ~ p10(X1,f3(X3,X2)) ),
p10_13 ).
cnf(c_0_27,negated_conjecture,
p10(f5(X1),f3(f5(f6(X1,X2)),f5(X2))),
p10_10 ).
cnf(c_0_28,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
p2_8 ).
cnf(c_0_29,negated_conjecture,
p4(f7(f8(X1,X2)),f8(X2,X1)),
p4_5 ).
cnf(c_0_30,negated_conjecture,
p2(f5(f6(X1,f7(X2))),f5(f8(X1,X2))),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_31,negated_conjecture,
( p10(f9(X1,f5(X2)),X3)
| ~ p10(f9(X1,f5(f7(X2))),X3) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_32,negated_conjecture,
p10(f9(f5(X1),f5(X2)),f5(f6(X1,X2))),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_33,negated_conjecture,
( p2(X1,f5(X2))
| ~ p2(f5(f7(X2)),X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_16]) ).
cnf(c_0_34,negated_conjecture,
p2(f5(f7(f8(X1,X2))),f5(f8(X2,X1))),
inference(spm,[status(thm)],[c_0_22,c_0_29]) ).
cnf(c_0_35,negated_conjecture,
( p10(X1,f5(f8(X2,X3)))
| ~ p10(X4,f5(f6(X2,f7(X3))))
| ~ p2(X4,X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_30]) ).
cnf(c_0_36,negated_conjecture,
p10(f9(f5(X1),f5(X2)),f5(f6(X1,f7(X2)))),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_37,negated_conjecture,
p2(f5(f8(X1,X2)),f5(f8(X2,X1))),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_38,negated_conjecture,
( p10(X1,f5(f8(X2,X3)))
| ~ p2(f9(f5(X2),f5(X3)),X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_39,negated_conjecture,
( p10(X1,f5(f8(X2,X3)))
| ~ p10(X4,f5(f8(X3,X2)))
| ~ p2(X4,X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_37]) ).
cnf(c_0_40,negated_conjecture,
p10(f9(f5(X1),f5(X2)),f5(f8(X1,X2))),
inference(spm,[status(thm)],[c_0_38,c_0_20]) ).
cnf(c_0_41,negated_conjecture,
( p10(X1,f5(f8(X2,X3)))
| ~ p2(f9(f5(X3),f5(X2)),X1) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_42,negated_conjecture,
~ p10(f9(f5(c11),f5(c12)),f5(f8(c12,c11))),
not_p10_11 ).
cnf(c_0_43,negated_conjecture,
p10(f9(f5(X1),f5(X2)),f5(f8(X2,X1))),
inference(spm,[status(thm)],[c_0_41,c_0_20]) ).
cnf(c_0_44,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_43])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN565-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n013.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 18:37:47 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.58 start to proof: theBenchmark
% 0.89/0.95 % Version : CSE_E---1.5
% 0.89/0.95 % Problem : theBenchmark.p
% 0.89/0.95 % Proof found
% 0.89/0.95 % SZS status Theorem for theBenchmark.p
% 0.89/0.95 % SZS output start Proof
% See solution above
% 0.89/0.96 % Total time : 0.361000 s
% 0.89/0.96 % SZS output end Proof
% 0.89/0.96 % Total time : 0.364000 s
%------------------------------------------------------------------------------