TSTP Solution File: SYN637-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN637-1 : 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 : n002.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 : 6
% Number of leaves : 36
% Syntax : Number of formulae : 48 ( 10 unt; 29 typ; 0 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 37 ( 20 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 39 ( 23 >; 16 *; 0 +; 0 <<)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 6 con; 0-3 aty)
% Number of variables : 31 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
p18: ( $i * $i ) > $o ).
tff(decl_23,type,
p7: ( $i * $i ) > $o ).
tff(decl_24,type,
p6: ( $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,
c25: $i ).
tff(decl_29,type,
f12: $i > $i ).
tff(decl_30,type,
c28: $i ).
tff(decl_31,type,
p20: ( $i * $i ) > $o ).
tff(decl_32,type,
f10: $i > $i ).
tff(decl_33,type,
c30: $i ).
tff(decl_34,type,
f13: $i > $i ).
tff(decl_35,type,
f15: $i > $i ).
tff(decl_36,type,
f14: $i > $i ).
tff(decl_37,type,
p21: ( $i * $i ) > $o ).
tff(decl_38,type,
f19: $i > $i ).
tff(decl_39,type,
f16: $i > $i ).
tff(decl_40,type,
f11: $i > $i ).
tff(decl_41,type,
c26: $i ).
tff(decl_42,type,
c27: $i ).
tff(decl_43,type,
f5: ( $i * $i * $i ) > $i ).
tff(decl_44,type,
c29: $i ).
tff(decl_45,type,
p22: ( $i * $i ) > $o ).
tff(decl_46,type,
p24: ( $i * $i ) > $o ).
tff(decl_47,type,
p23: ( $i * $i ) > $o ).
tff(decl_48,type,
f8: ( $i * $i ) > $i ).
tff(decl_49,type,
f9: ( $i * $i ) > $i ).
tff(decl_50,type,
f17: ( $i * $i ) > $i ).
cnf(p22_28,negated_conjecture,
( p22(X1,X2)
| ~ p4(X3,X1)
| ~ p4(X4,X2)
| ~ p22(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p22_28) ).
cnf(p4_4,negated_conjecture,
p4(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_4) ).
cnf(p4_12,negated_conjecture,
( p4(f16(X1),f16(X2))
| ~ p4(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_12) ).
cnf(p22_40,negated_conjecture,
p22(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c27))),f16(f17(c27,f5(c25,c26,c27)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p22_40) ).
cnf(not_p22_41,negated_conjecture,
~ p22(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c29))),f16(f17(c27,f5(c25,c26,c27)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p22_41) ).
cnf(p4_32,negated_conjecture,
( p4(f17(X1,X2),f17(X3,X4))
| ~ p4(X1,X3)
| ~ p4(X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_32) ).
cnf(p4_39,negated_conjecture,
p4(f5(f8(f11(c25),f9(f10(c25),c28)),X1,c27),f5(f8(f11(c25),f9(f10(c25),c28)),X1,c29)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_39) ).
cnf(c_0_7,negated_conjecture,
( p22(X1,X2)
| ~ p4(X3,X1)
| ~ p4(X4,X2)
| ~ p22(X3,X4) ),
p22_28 ).
cnf(c_0_8,negated_conjecture,
p4(X1,X1),
p4_4 ).
cnf(c_0_9,negated_conjecture,
( p22(X1,X2)
| ~ p22(X3,X2)
| ~ p4(X3,X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_10,negated_conjecture,
( p4(f16(X1),f16(X2))
| ~ p4(X1,X2) ),
p4_12 ).
cnf(c_0_11,negated_conjecture,
( p22(f16(X1),X2)
| ~ p22(f16(X3),X2)
| ~ p4(X3,X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_12,negated_conjecture,
p22(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c27))),f16(f17(c27,f5(c25,c26,c27)))),
p22_40 ).
cnf(c_0_13,negated_conjecture,
~ p22(f16(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c29))),f16(f17(c27,f5(c25,c26,c27)))),
not_p22_41 ).
cnf(c_0_14,negated_conjecture,
( p22(f16(X1),f16(f17(c27,f5(c25,c26,c27))))
| ~ p4(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c27)),X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,negated_conjecture,
~ p4(f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c27)),f17(c27,f5(f8(f11(c25),f9(f10(c25),c28)),c26,c29))),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_16,negated_conjecture,
( p4(f17(X1,X2),f17(X3,X4))
| ~ p4(X1,X3)
| ~ p4(X2,X4) ),
p4_32 ).
cnf(c_0_17,negated_conjecture,
p4(f5(f8(f11(c25),f9(f10(c25),c28)),X1,c27),f5(f8(f11(c25),f9(f10(c25),c28)),X1,c29)),
p4_39 ).
cnf(c_0_18,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]),c_0_8])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13 % Problem : SYN637-1 : TPTP v8.1.2. Released v2.5.0.
% 0.10/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n002.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 19:13:18 EDT 2023
% 0.13/0.35 % 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
% 0.20/0.60 % Total time : 0.018000 s
% 0.20/0.60 % SZS output end Proof
% 0.20/0.60 % Total time : 0.021000 s
%------------------------------------------------------------------------------