TSTP Solution File: SYN555-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN555-1 : 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 : n031.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 01:53:12 EDT 2023
% Result : Unsatisfiable 0.21s 0.62s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 18
% Syntax : Number of formulae : 38 ( 16 unt; 9 typ; 0 def)
% Number of atoms : 53 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 51 ( 27 ~; 24 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 5 >; 7 *; 0 +; 0 <<)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-3 aty)
% Number of variables : 48 ( 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,
p3: ( $i * $i ) > $o ).
tff(decl_25,type,
c7: $i ).
tff(decl_26,type,
c10: $i ).
tff(decl_27,type,
c9: $i ).
tff(decl_28,type,
f5: ( $i * $i * $i ) > $i ).
tff(decl_29,type,
c8: $i ).
tff(decl_30,type,
f6: ( $i * $i * $i ) > $i ).
cnf(p4_8,negated_conjecture,
( p4(X1,X2)
| ~ p4(X3,X1)
| ~ p4(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_8) ).
cnf(p4_2,negated_conjecture,
p4(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_2) ).
cnf(p4_11,negated_conjecture,
( p4(f5(X1,X2,X3),f5(X4,X5,X6))
| ~ p3(X2,X5)
| ~ p4(X3,X6)
| ~ p2(X1,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_11) ).
cnf(p4_4,negated_conjecture,
p4(f5(c7,c10,c9),c9),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_4) ).
cnf(p4_6,negated_conjecture,
p4(f5(c7,X1,c8),f5(c7,X1,c9)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_6) ).
cnf(p4_12,negated_conjecture,
( p4(f5(c7,X1,X2),X2)
| ~ p4(f5(c7,X1,X3),X3)
| ~ p4(f5(c7,f6(X1,X3,X2),X3),f5(c7,f6(X1,X3,X2),X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_12) ).
cnf(p3_3,negated_conjecture,
p3(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_3) ).
cnf(p2_1,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_1) ).
cnf(not_p4_5,negated_conjecture,
~ p4(f5(c7,c10,c8),c8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p4_5) ).
cnf(c_0_9,negated_conjecture,
( p4(X1,X2)
| ~ p4(X3,X1)
| ~ p4(X3,X2) ),
p4_8 ).
cnf(c_0_10,negated_conjecture,
p4(X1,X1),
p4_2 ).
cnf(c_0_11,negated_conjecture,
( p4(X1,X2)
| ~ p4(X2,X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_12,negated_conjecture,
( p4(f5(X1,X2,X3),f5(X4,X5,X6))
| ~ p3(X2,X5)
| ~ p4(X3,X6)
| ~ p2(X1,X4) ),
p4_11 ).
cnf(c_0_13,negated_conjecture,
p4(f5(c7,c10,c9),c9),
p4_4 ).
cnf(c_0_14,negated_conjecture,
p4(f5(c7,X1,c8),f5(c7,X1,c9)),
p4_6 ).
cnf(c_0_15,negated_conjecture,
( p4(f5(c7,X1,X2),X2)
| ~ p4(f5(c7,X1,X3),X3)
| ~ p4(f5(c7,f6(X1,X3,X2),X3),f5(c7,f6(X1,X3,X2),X2)) ),
p4_12 ).
cnf(c_0_16,negated_conjecture,
( p4(f5(X1,X2,X3),f5(X4,X5,X6))
| ~ p3(X5,X2)
| ~ p4(X6,X3)
| ~ p2(X4,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_17,negated_conjecture,
p3(X1,X1),
p3_3 ).
cnf(c_0_18,negated_conjecture,
p2(X1,X1),
p2_1 ).
cnf(c_0_19,negated_conjecture,
( p4(X1,c9)
| ~ p4(f5(c7,c10,c9),X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_13]) ).
cnf(c_0_20,negated_conjecture,
p4(f5(c7,X1,c9),f5(c7,X1,c8)),
inference(spm,[status(thm)],[c_0_11,c_0_14]) ).
cnf(c_0_21,negated_conjecture,
( p4(f5(c7,X1,X2),X2)
| ~ p4(f5(c7,X1,X3),X3)
| ~ p4(X2,X3) ),
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_18])]) ).
cnf(c_0_22,negated_conjecture,
p4(f5(c7,c10,c8),c9),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_23,negated_conjecture,
~ p4(f5(c7,c10,c8),c8),
not_p4_5 ).
cnf(c_0_24,negated_conjecture,
( p4(f5(c7,c10,X1),X1)
| ~ p4(X1,c9) ),
inference(spm,[status(thm)],[c_0_21,c_0_13]) ).
cnf(c_0_25,negated_conjecture,
( p4(X1,c9)
| ~ p4(f5(c7,c10,c8),X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_22]) ).
cnf(c_0_26,negated_conjecture,
( p4(f5(c7,X1,c8),c8)
| ~ p4(f5(c7,X1,c9),c9) ),
inference(spm,[status(thm)],[c_0_15,c_0_20]) ).
cnf(c_0_27,negated_conjecture,
~ p4(c8,c9),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_28,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_13])]),c_0_27]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SYN555-1 : TPTP v8.1.2. Released v2.5.0.
% 0.13/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35 % Computer : n031.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 22:16:08 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.59 start to proof: theBenchmark
% 0.21/0.62 % Version : CSE_E---1.5
% 0.21/0.62 % Problem : theBenchmark.p
% 0.21/0.62 % Proof found
% 0.21/0.62 % SZS status Theorem for theBenchmark.p
% 0.21/0.62 % SZS output start Proof
% See solution above
% 0.21/0.62 % Total time : 0.014000 s
% 0.21/0.62 % SZS output end Proof
% 0.21/0.62 % Total time : 0.017000 s
%------------------------------------------------------------------------------