TSTP Solution File: SYN572-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN572-1 : 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 : n025.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 01:53:17 EDT 2023
% Result : Unsatisfiable 3.47s 3.57s
% Output : CNFRefutation 3.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 27
% Syntax : Number of formulae : 59 ( 26 unt; 14 typ; 0 def)
% Number of atoms : 76 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 64 ( 33 ~; 31 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 17 ( 11 >; 6 *; 0 +; 0 <<)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 99 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
p2: ( $i * $i ) > $o ).
tff(decl_23,type,
p6: ( $i * $i ) > $o ).
tff(decl_24,type,
p4: ( $i * $i ) > $o ).
tff(decl_25,type,
f9: $i > $i ).
tff(decl_26,type,
f10: $i > $i ).
tff(decl_27,type,
c13: $i ).
tff(decl_28,type,
f8: $i > $i ).
tff(decl_29,type,
f7: $i > $i ).
tff(decl_30,type,
f5: $i > $i ).
tff(decl_31,type,
f3: ( $i * $i ) > $i ).
tff(decl_32,type,
f11: ( $i * $i ) > $i ).
tff(decl_33,type,
p12: ( $i * $i ) > $o ).
tff(decl_34,type,
c14: $i ).
tff(decl_35,type,
c15: $i ).
cnf(p2_20,negated_conjecture,
( p2(f3(X1,X2),f3(X3,X4))
| ~ p2(X1,X3)
| ~ p2(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_20) ).
cnf(p2_11,negated_conjecture,
p2(f3(X1,f9(X1)),f5(f7(f8(c13)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_11) ).
cnf(p2_12,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_12) ).
cnf(p2_1,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_1) ).
cnf(p2_5,negated_conjecture,
p2(f3(X1,f5(f7(f8(c13)))),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_5) ).
cnf(p2_17,negated_conjecture,
p2(f3(X1,f3(X2,X3)),f3(f3(X1,X2),X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_17) ).
cnf(p4_19,negated_conjecture,
( p4(f11(X1,X2),f11(X3,X4))
| ~ p4(X1,X3)
| ~ p4(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_19) ).
cnf(p4_4,negated_conjecture,
p4(f10(f9(X1)),f10(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_4) ).
cnf(p12_18,negated_conjecture,
( p12(X1,X2)
| ~ p4(X3,X1)
| ~ p4(X4,X2)
| ~ p12(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_18) ).
cnf(p4_3,negated_conjecture,
p4(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_3) ).
cnf(p4_9,negated_conjecture,
( p4(f10(X1),f10(X2))
| ~ p2(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_9) ).
cnf(p12_15,negated_conjecture,
p12(f10(f3(X1,X2)),f11(f10(X1),f10(X2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_15) ).
cnf(not_p12_16,negated_conjecture,
~ p12(f10(c14),f11(f10(f3(c14,c15)),f10(c15))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p12_16) ).
cnf(c_0_13,negated_conjecture,
( p2(f3(X1,X2),f3(X3,X4))
| ~ p2(X1,X3)
| ~ p2(X2,X4) ),
p2_20 ).
cnf(c_0_14,negated_conjecture,
p2(f3(X1,f9(X1)),f5(f7(f8(c13)))),
p2_11 ).
cnf(c_0_15,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
p2_12 ).
cnf(c_0_16,negated_conjecture,
p2(X1,X1),
p2_1 ).
cnf(c_0_17,negated_conjecture,
( p2(f3(X1,f3(X2,f9(X2))),f3(X3,f5(f7(f8(c13)))))
| ~ p2(X1,X3) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,negated_conjecture,
p2(f3(X1,f5(f7(f8(c13)))),X1),
p2_5 ).
cnf(c_0_19,negated_conjecture,
( p2(X1,X2)
| ~ p2(X2,X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,negated_conjecture,
p2(f3(X1,f3(X2,f9(X2))),f3(X1,f5(f7(f8(c13))))),
inference(spm,[status(thm)],[c_0_17,c_0_16]) ).
cnf(c_0_21,negated_conjecture,
p2(f3(X1,f3(X2,X3)),f3(f3(X1,X2),X3)),
p2_17 ).
cnf(c_0_22,negated_conjecture,
( p2(X1,X2)
| ~ p2(f3(X2,f5(f7(f8(c13)))),X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_18]) ).
cnf(c_0_23,negated_conjecture,
p2(f3(X1,f5(f7(f8(c13)))),f3(X1,f3(X2,f9(X2)))),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_24,negated_conjecture,
( p2(X1,f3(f3(X2,X3),X4))
| ~ p2(f3(X2,f3(X3,X4)),X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_21]) ).
cnf(c_0_25,negated_conjecture,
p2(f3(X1,f3(X2,f9(X2))),X1),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_26,negated_conjecture,
p2(X1,f3(f3(X1,X2),f9(X2))),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_27,negated_conjecture,
( p4(f11(X1,X2),f11(X3,X4))
| ~ p4(X1,X3)
| ~ p4(X2,X4) ),
p4_19 ).
cnf(c_0_28,negated_conjecture,
p4(f10(f9(X1)),f10(X1)),
p4_4 ).
cnf(c_0_29,negated_conjecture,
( p12(X1,X2)
| ~ p4(X3,X1)
| ~ p4(X4,X2)
| ~ p12(X3,X4) ),
p12_18 ).
cnf(c_0_30,negated_conjecture,
p4(X1,X1),
p4_3 ).
cnf(c_0_31,negated_conjecture,
( p4(f10(X1),f10(X2))
| ~ p2(X1,X2) ),
p4_9 ).
cnf(c_0_32,negated_conjecture,
p2(f3(f3(X1,X2),f9(X2)),X1),
inference(spm,[status(thm)],[c_0_19,c_0_26]) ).
cnf(c_0_33,negated_conjecture,
( p4(f11(X1,f10(f9(X2))),f11(X3,f10(X2)))
| ~ p4(X1,X3) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_34,negated_conjecture,
( p12(X1,X2)
| ~ p12(X3,X2)
| ~ p4(X3,X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_35,negated_conjecture,
p4(f10(f3(f3(X1,X2),f9(X2))),f10(X1)),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_36,negated_conjecture,
p4(f11(X1,f10(f9(X2))),f11(X1,f10(X2))),
inference(spm,[status(thm)],[c_0_33,c_0_30]) ).
cnf(c_0_37,negated_conjecture,
( p12(f10(X1),X2)
| ~ p12(f10(f3(f3(X1,X3),f9(X3))),X2) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_38,negated_conjecture,
p12(f10(f3(X1,X2)),f11(f10(X1),f10(X2))),
p12_15 ).
cnf(c_0_39,negated_conjecture,
( p12(X1,f11(X2,f10(X3)))
| ~ p12(X4,f11(X2,f10(f9(X3))))
| ~ p4(X4,X1) ),
inference(spm,[status(thm)],[c_0_29,c_0_36]) ).
cnf(c_0_40,negated_conjecture,
p12(f10(X1),f11(f10(f3(X1,X2)),f10(f9(X2)))),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_41,negated_conjecture,
( p12(X1,f11(f10(f3(X2,X3)),f10(X3)))
| ~ p4(f10(X2),X1) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_42,negated_conjecture,
~ p12(f10(c14),f11(f10(f3(c14,c15)),f10(c15))),
not_p12_16 ).
cnf(c_0_43,negated_conjecture,
p12(f10(X1),f11(f10(f3(X1,X2)),f10(X2))),
inference(spm,[status(thm)],[c_0_41,c_0_30]) ).
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
% 0.00/0.12 % Problem : SYN572-1 : 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 : n025.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 21:03:23 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.56 start to proof: theBenchmark
% 3.47/3.57 % Version : CSE_E---1.5
% 3.47/3.57 % Problem : theBenchmark.p
% 3.47/3.57 % Proof found
% 3.47/3.57 % SZS status Theorem for theBenchmark.p
% 3.47/3.57 % SZS output start Proof
% See solution above
% 3.47/3.58 % Total time : 3.004000 s
% 3.47/3.58 % SZS output end Proof
% 3.47/3.58 % Total time : 3.007000 s
%------------------------------------------------------------------------------