TSTP Solution File: SYN616-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN616-1 : 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 01:53:29 EDT 2023
% Result : Unsatisfiable 87.40s 87.57s
% Output : CNFRefutation 87.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 34
% Syntax : Number of formulae : 45 ( 9 unt; 27 typ; 0 def)
% Number of atoms : 46 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 58 ( 30 ~; 28 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 33 ( 18 >; 15 *; 0 +; 0 <<)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 9 con; 0-3 aty)
% Number of variables : 42 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
c28: $i ).
tff(decl_23,type,
p17: $i > $o ).
tff(decl_24,type,
p10: ( $i * $i ) > $o ).
tff(decl_25,type,
p9: ( $i * $i ) > $o ).
tff(decl_26,type,
p2: ( $i * $i ) > $o ).
tff(decl_27,type,
p18: ( $i * $i ) > $o ).
tff(decl_28,type,
c26: $i ).
tff(decl_29,type,
c27: $i ).
tff(decl_30,type,
p19: ( $i * $i ) > $o ).
tff(decl_31,type,
c25: $i ).
tff(decl_32,type,
p15: ( $i * $i ) > $o ).
tff(decl_33,type,
c20: $i ).
tff(decl_34,type,
f5: $i > $i ).
tff(decl_35,type,
f4: $i > $i ).
tff(decl_36,type,
f3: $i > $i ).
tff(decl_37,type,
c21: $i ).
tff(decl_38,type,
p13: ( $i * $i ) > $o ).
tff(decl_39,type,
f6: $i > $i ).
tff(decl_40,type,
c23: $i ).
tff(decl_41,type,
c24: $i ).
tff(decl_42,type,
f11: ( $i * $i * $i ) > $i ).
tff(decl_43,type,
f8: ( $i * $i ) > $i ).
tff(decl_44,type,
p16: ( $i * $i ) > $o ).
tff(decl_45,type,
c22: $i ).
tff(decl_46,type,
f7: ( $i * $i ) > $i ).
tff(decl_47,type,
p14: ( $i * $i * $i ) > $o ).
tff(decl_48,type,
f12: ( $i * $i ) > $i ).
cnf(p14_31,negated_conjecture,
( p14(X1,X2,X3)
| ~ p2(X4,X3)
| ~ p2(X5,X2)
| ~ p2(X6,X1)
| ~ p14(X6,X5,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14_31) ).
cnf(p14_29,negated_conjecture,
p14(f7(c22,f12(f8(c21,f3(f5(c20))),c25)),f3(f5(c20)),f6(c21)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14_29) ).
cnf(p2_28,negated_conjecture,
( p2(f7(X1,X2),f7(X3,X4))
| ~ p2(X2,X4)
| ~ p2(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_28) ).
cnf(p2_27,negated_conjecture,
( p2(f12(X1,X2),f12(X3,X4))
| ~ p2(X1,X3)
| ~ p2(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_27) ).
cnf(not_p14_30,negated_conjecture,
~ p14(f7(c22,f12(f8(c21,f3(f5(c20))),c28)),f3(f5(c20)),f6(c21)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p14_30) ).
cnf(p2_4,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_4) ).
cnf(p2_7,negated_conjecture,
p2(c25,c28),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_7) ).
cnf(c_0_7,negated_conjecture,
( p14(X1,X2,X3)
| ~ p2(X4,X3)
| ~ p2(X5,X2)
| ~ p2(X6,X1)
| ~ p14(X6,X5,X4) ),
p14_31 ).
cnf(c_0_8,negated_conjecture,
p14(f7(c22,f12(f8(c21,f3(f5(c20))),c25)),f3(f5(c20)),f6(c21)),
p14_29 ).
cnf(c_0_9,negated_conjecture,
( p14(X1,X2,X3)
| ~ p2(f7(c22,f12(f8(c21,f3(f5(c20))),c25)),X1)
| ~ p2(f3(f5(c20)),X2)
| ~ p2(f6(c21),X3) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_10,negated_conjecture,
( p2(f7(X1,X2),f7(X3,X4))
| ~ p2(X2,X4)
| ~ p2(X1,X3) ),
p2_28 ).
cnf(c_0_11,negated_conjecture,
( p14(f7(X1,X2),X3,X4)
| ~ p2(f12(f8(c21,f3(f5(c20))),c25),X2)
| ~ p2(f3(f5(c20)),X3)
| ~ p2(f6(c21),X4)
| ~ p2(c22,X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_12,negated_conjecture,
( p2(f12(X1,X2),f12(X3,X4))
| ~ p2(X1,X3)
| ~ p2(X2,X4) ),
p2_27 ).
cnf(c_0_13,negated_conjecture,
~ p14(f7(c22,f12(f8(c21,f3(f5(c20))),c28)),f3(f5(c20)),f6(c21)),
not_p14_30 ).
cnf(c_0_14,negated_conjecture,
( p14(f7(X1,f12(X2,X3)),X4,X5)
| ~ p2(f8(c21,f3(f5(c20))),X2)
| ~ p2(f3(f5(c20)),X4)
| ~ p2(f6(c21),X5)
| ~ p2(c22,X1)
| ~ p2(c25,X3) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,negated_conjecture,
p2(X1,X1),
p2_4 ).
cnf(c_0_16,negated_conjecture,
p2(c25,c28),
p2_7 ).
cnf(c_0_17,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]),c_0_15]),c_0_15]),c_0_15]),c_0_16])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN616-1 : 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
% 0.13/0.35 % Computer : n006.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 18:39:22 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.56 start to proof: theBenchmark
% 87.40/87.57 % Version : CSE_E---1.5
% 87.40/87.57 % Problem : theBenchmark.p
% 87.40/87.57 % Proof found
% 87.40/87.57 % SZS status Theorem for theBenchmark.p
% 87.40/87.57 % SZS output start Proof
% See solution above
% 87.40/87.57 % Total time : 87.006000 s
% 87.40/87.57 % SZS output end Proof
% 87.40/87.57 % Total time : 87.013000 s
%------------------------------------------------------------------------------