TSTP Solution File: SYN587-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN587-1 : 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 : n003.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 01:53:21 EDT 2023
% Result : Unsatisfiable 4.12s 4.21s
% Output : CNFRefutation 4.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 28
% Syntax : Number of formulae : 43 ( 12 unt; 20 typ; 0 def)
% Number of atoms : 46 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 48 ( 25 ~; 23 |; 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 : 22 ( 14 >; 8 *; 0 +; 0 <<)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 6 con; 0-2 aty)
% Number of variables : 39 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
p12: ( $i * $i ) > $o ).
tff(decl_23,type,
p5: ( $i * $i ) > $o ).
tff(decl_24,type,
p3: ( $i * $i ) > $o ).
tff(decl_25,type,
p2: ( $i * $i ) > $o ).
tff(decl_26,type,
c21: $i ).
tff(decl_27,type,
c19: $i ).
tff(decl_28,type,
c20: $i ).
tff(decl_29,type,
f13: $i > $i ).
tff(decl_30,type,
c18: $i ).
tff(decl_31,type,
f7: $i > $i ).
tff(decl_32,type,
f10: $i > $i ).
tff(decl_33,type,
f9: $i > $i ).
tff(decl_34,type,
f8: $i > $i ).
tff(decl_35,type,
f11: $i > $i ).
tff(decl_36,type,
p15: ( $i * $i ) > $o ).
tff(decl_37,type,
c16: $i ).
tff(decl_38,type,
c17: $i ).
tff(decl_39,type,
f6: ( $i * $i ) > $i ).
tff(decl_40,type,
f4: ( $i * $i ) > $i ).
tff(decl_41,type,
f14: ( $i * $i ) > $i ).
cnf(p15_17,negated_conjecture,
( p15(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X4,X2)
| ~ p15(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15_17) ).
cnf(p2_4,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_4) ).
cnf(p2_20,negated_conjecture,
( p2(f4(X1,X2),f4(X3,X4))
| ~ p2(X1,X3)
| ~ p3(X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_20) ).
cnf(p15_18,negated_conjecture,
p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),c20),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15_18) ).
cnf(p3_15,negated_conjecture,
( p3(X1,X2)
| ~ p3(X3,X1)
| ~ p3(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_15) ).
cnf(p3_3,negated_conjecture,
p3(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_3) ).
cnf(p3_5,negated_conjecture,
p3(c21,c19),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_5) ).
cnf(not_p15_19,negated_conjecture,
~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c21),c20),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p15_19) ).
cnf(c_0_8,negated_conjecture,
( p15(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X4,X2)
| ~ p15(X3,X4) ),
p15_17 ).
cnf(c_0_9,negated_conjecture,
p2(X1,X1),
p2_4 ).
cnf(c_0_10,negated_conjecture,
( p15(X1,X2)
| ~ p15(X3,X2)
| ~ p2(X3,X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_11,negated_conjecture,
( p2(f4(X1,X2),f4(X3,X4))
| ~ p2(X1,X3)
| ~ p3(X2,X4) ),
p2_20 ).
cnf(c_0_12,negated_conjecture,
( p15(f4(X1,X2),X3)
| ~ p15(f4(X4,X5),X3)
| ~ p2(X4,X1)
| ~ p3(X5,X2) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_13,negated_conjecture,
p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),c20),
p15_18 ).
cnf(c_0_14,negated_conjecture,
( p3(X1,X2)
| ~ p3(X3,X1)
| ~ p3(X3,X2) ),
p3_15 ).
cnf(c_0_15,negated_conjecture,
p3(X1,X1),
p3_3 ).
cnf(c_0_16,negated_conjecture,
( p15(f4(X1,X2),c20)
| ~ p2(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),X1)
| ~ p3(c19,X2) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,negated_conjecture,
( p3(X1,X2)
| ~ p3(X2,X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,negated_conjecture,
p3(c21,c19),
p3_5 ).
cnf(c_0_19,negated_conjecture,
( p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),X1),c20)
| ~ p3(c19,X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_9]) ).
cnf(c_0_20,negated_conjecture,
~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c21),c20),
not_p15_19 ).
cnf(c_0_21,negated_conjecture,
p3(c19,c21),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_19,c_0_20,c_0_21]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN587-1 : TPTP v8.1.2. Released v2.5.0.
% 0.13/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n003.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 18:29:39 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.58 start to proof: theBenchmark
% 4.12/4.21 % Version : CSE_E---1.5
% 4.12/4.21 % Problem : theBenchmark.p
% 4.12/4.21 % Proof found
% 4.12/4.21 % SZS status Theorem for theBenchmark.p
% 4.12/4.21 % SZS output start Proof
% See solution above
% 4.12/4.21 % Total time : 3.614000 s
% 4.12/4.21 % SZS output end Proof
% 4.12/4.21 % Total time : 3.618000 s
%------------------------------------------------------------------------------