TSTP Solution File: SYN618-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN618-1 : 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 : n024.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 0.20s 0.60s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 34
% Syntax : Number of formulae : 52 ( 17 unt; 23 typ; 0 def)
% Number of atoms : 54 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 53 ( 28 ~; 25 |; 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 : 25 ( 14 >; 11 *; 0 +; 0 <<)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 9 con; 0-2 aty)
% Number of variables : 32 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
c16: $i ).
tff(decl_23,type,
p9: $i > $o ).
tff(decl_24,type,
p10: ( $i * $i ) > $o ).
tff(decl_25,type,
p5: ( $i * $i ) > $o ).
tff(decl_26,type,
p4: ( $i * $i ) > $o ).
tff(decl_27,type,
p2: ( $i * $i ) > $o ).
tff(decl_28,type,
p14: ( $i * $i ) > $o ).
tff(decl_29,type,
c19: $i ).
tff(decl_30,type,
c20: $i ).
tff(decl_31,type,
p12: ( $i * $i ) > $o ).
tff(decl_32,type,
c23: $i ).
tff(decl_33,type,
c21: $i ).
tff(decl_34,type,
p13: ( $i * $i ) > $o ).
tff(decl_35,type,
c17: $i ).
tff(decl_36,type,
f3: $i > $i ).
tff(decl_37,type,
c18: $i ).
tff(decl_38,type,
p11: ( $i * $i * $i ) > $o ).
tff(decl_39,type,
f8: ( $i * $i ) > $i ).
tff(decl_40,type,
c22: $i ).
tff(decl_41,type,
f7: $i > $i ).
tff(decl_42,type,
f6: $i > $i ).
tff(decl_43,type,
p15: ( $i * $i ) > $o ).
tff(decl_44,type,
c24: $i ).
cnf(p5_22,negated_conjecture,
( p5(X1,X2)
| ~ p5(X3,X1)
| ~ p5(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_22) ).
cnf(p5_16,negated_conjecture,
p5(f8(f3(c16),c23),f6(f7(c22))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_16) ).
cnf(p2_24,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_24) ).
cnf(p2_5,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_5) ).
cnf(p5_30,negated_conjecture,
( p5(f8(X1,X2),f8(X3,X4))
| ~ p2(X1,X3)
| ~ p5(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_30) ).
cnf(p2_12,negated_conjecture,
p2(c17,f3(c16)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_12) ).
cnf(p5_31,negated_conjecture,
( p5(X1,c20)
| ~ p13(X1,c21)
| ~ p13(c19,X1)
| ~ p5(f8(c17,X1),f6(f7(c22))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_31) ).
cnf(not_p5_17,negated_conjecture,
~ p5(f8(f3(c16),c20),f6(f7(c22))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p5_17) ).
cnf(p13_8,negated_conjecture,
p13(c23,c21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p13_8) ).
cnf(p13_9,negated_conjecture,
p13(c19,c23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p13_9) ).
cnf(p5_3,negated_conjecture,
p5(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_3) ).
cnf(c_0_11,negated_conjecture,
( p5(X1,X2)
| ~ p5(X3,X1)
| ~ p5(X3,X2) ),
p5_22 ).
cnf(c_0_12,negated_conjecture,
p5(f8(f3(c16),c23),f6(f7(c22))),
p5_16 ).
cnf(c_0_13,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
p2_24 ).
cnf(c_0_14,negated_conjecture,
p2(X1,X1),
p2_5 ).
cnf(c_0_15,negated_conjecture,
( p5(X1,f6(f7(c22)))
| ~ p5(f8(f3(c16),c23),X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,negated_conjecture,
( p5(f8(X1,X2),f8(X3,X4))
| ~ p2(X1,X3)
| ~ p5(X2,X4) ),
p5_30 ).
cnf(c_0_17,negated_conjecture,
( p2(X1,X2)
| ~ p2(X2,X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,negated_conjecture,
p2(c17,f3(c16)),
p2_12 ).
cnf(c_0_19,negated_conjecture,
( p5(X1,c20)
| ~ p13(X1,c21)
| ~ p13(c19,X1)
| ~ p5(f8(c17,X1),f6(f7(c22))) ),
p5_31 ).
cnf(c_0_20,negated_conjecture,
( p5(f8(X1,X2),f6(f7(c22)))
| ~ p2(f3(c16),X1)
| ~ p5(c23,X2) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_21,negated_conjecture,
p2(f3(c16),c17),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,negated_conjecture,
~ p5(f8(f3(c16),c20),f6(f7(c22))),
not_p5_17 ).
cnf(c_0_23,negated_conjecture,
( p5(X1,c20)
| ~ p13(X1,c21)
| ~ p13(c19,X1)
| ~ p5(c23,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]) ).
cnf(c_0_24,negated_conjecture,
p13(c23,c21),
p13_8 ).
cnf(c_0_25,negated_conjecture,
p13(c19,c23),
p13_9 ).
cnf(c_0_26,negated_conjecture,
p5(X1,X1),
p5_3 ).
cnf(c_0_27,negated_conjecture,
~ p5(c23,c20),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_20]),c_0_14])]) ).
cnf(c_0_28,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),c_0_26])]),c_0_27]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN618-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35 % Computer : n024.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 19:20:24 EDT 2023
% 0.14/0.35 % 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 : 0.023000 s
% 0.20/0.60 % SZS output end Proof
% 0.20/0.60 % Total time : 0.026000 s
%------------------------------------------------------------------------------