TSTP Solution File: SYN556-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN556-1 : 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 : n029.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 01:53:13 EDT 2023
% Result : Unsatisfiable 79.40s 79.46s
% Output : CNFRefutation 79.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 22
% Syntax : Number of formulae : 47 ( 13 unt; 12 typ; 0 def)
% Number of atoms : 82 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 97 ( 50 ~; 47 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 13 ( 7 >; 6 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 77 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
p2: ( $i * $i ) > $o ).
tff(decl_23,type,
p3: ( $i * $i ) > $o ).
tff(decl_24,type,
c10: $i ).
tff(decl_25,type,
c13: $i ).
tff(decl_26,type,
f7: $i > $i ).
tff(decl_27,type,
f6: $i > $i ).
tff(decl_28,type,
c9: $i ).
tff(decl_29,type,
c11: $i ).
tff(decl_30,type,
f8: ( $i * $i ) > $i ).
tff(decl_31,type,
c12: $i ).
tff(decl_32,type,
f5: ( $i * $i ) > $i ).
tff(decl_33,type,
f4: ( $i * $i * $i ) > $i ).
cnf(p3_7,negated_conjecture,
( p3(X1,X2)
| ~ p3(X3,X1)
| ~ p3(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_7) ).
cnf(p3_2,negated_conjecture,
p3(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_2) ).
cnf(p2_6,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_6) ).
cnf(p2_1,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_1) ).
cnf(p3_12,negated_conjecture,
( p3(f4(X1,X2,X3),f4(X4,X5,X6))
| ~ p2(X2,X5)
| ~ p3(X3,X6)
| ~ p2(X1,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_12) ).
cnf(p3_8,negated_conjecture,
p3(c9,f4(c13,f5(f8(c11,c13),f6(f7(c12))),c11)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_8) ).
cnf(p2_3,negated_conjecture,
p2(c10,c13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_3) ).
cnf(p2_10,negated_conjecture,
( p2(f5(X1,X2),f5(X3,X4))
| ~ p2(X1,X3)
| ~ p2(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_10) ).
cnf(not_p3_9,negated_conjecture,
~ p3(c9,f4(c10,f5(f8(c11,c10),f6(f7(c12))),c11)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p3_9) ).
cnf(p2_11,negated_conjecture,
( p2(f8(X1,X2),f8(X3,X4))
| ~ p2(X2,X4)
| ~ p3(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_11) ).
cnf(c_0_10,negated_conjecture,
( p3(X1,X2)
| ~ p3(X3,X1)
| ~ p3(X3,X2) ),
p3_7 ).
cnf(c_0_11,negated_conjecture,
p3(X1,X1),
p3_2 ).
cnf(c_0_12,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
p2_6 ).
cnf(c_0_13,negated_conjecture,
p2(X1,X1),
p2_1 ).
cnf(c_0_14,negated_conjecture,
( p3(X1,X2)
| ~ p3(X2,X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,negated_conjecture,
( p2(X1,X2)
| ~ p2(X2,X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,negated_conjecture,
( p3(f4(X1,X2,X3),f4(X4,X5,X6))
| ~ p2(X2,X5)
| ~ p3(X3,X6)
| ~ p2(X1,X4) ),
p3_12 ).
cnf(c_0_17,negated_conjecture,
( p3(X1,X2)
| ~ p3(X3,X1)
| ~ p3(X2,X3) ),
inference(spm,[status(thm)],[c_0_10,c_0_14]) ).
cnf(c_0_18,negated_conjecture,
p3(c9,f4(c13,f5(f8(c11,c13),f6(f7(c12))),c11)),
p3_8 ).
cnf(c_0_19,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X2,X3) ),
inference(spm,[status(thm)],[c_0_12,c_0_15]) ).
cnf(c_0_20,negated_conjecture,
p2(c10,c13),
p2_3 ).
cnf(c_0_21,negated_conjecture,
( p3(X1,f4(X2,X3,X4))
| ~ p3(f4(X5,X6,X7),X1)
| ~ p3(X7,X4)
| ~ p2(X6,X3)
| ~ p2(X5,X2) ),
inference(spm,[status(thm)],[c_0_10,c_0_16]) ).
cnf(c_0_22,negated_conjecture,
( p3(f4(c13,f5(f8(c11,c13),f6(f7(c12))),c11),X1)
| ~ p3(X1,c9) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_23,negated_conjecture,
( p2(X1,X2)
| ~ p2(X2,X3)
| ~ p2(X1,X3) ),
inference(spm,[status(thm)],[c_0_19,c_0_15]) ).
cnf(c_0_24,negated_conjecture,
( p2(X1,c13)
| ~ p2(c10,X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_20]) ).
cnf(c_0_25,negated_conjecture,
( p3(X1,f4(X2,X3,X4))
| ~ p3(c11,X4)
| ~ p3(X1,c9)
| ~ p2(f5(f8(c11,c13),f6(f7(c12))),X3)
| ~ p2(c13,X2) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_26,negated_conjecture,
( p2(f5(X1,X2),f5(X3,X4))
| ~ p2(X1,X3)
| ~ p2(X2,X4) ),
p2_10 ).
cnf(c_0_27,negated_conjecture,
( p2(X1,c10)
| ~ p2(X1,c13) ),
inference(spm,[status(thm)],[c_0_23,c_0_20]) ).
cnf(c_0_28,negated_conjecture,
( p2(c13,X1)
| ~ p2(c10,X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_24]) ).
cnf(c_0_29,negated_conjecture,
~ p3(c9,f4(c10,f5(f8(c11,c10),f6(f7(c12))),c11)),
not_p3_9 ).
cnf(c_0_30,negated_conjecture,
( p3(X1,f4(X2,f5(X3,X4),X5))
| ~ p3(c11,X5)
| ~ p3(X1,c9)
| ~ p2(f6(f7(c12)),X4)
| ~ p2(f8(c11,c13),X3)
| ~ p2(c13,X2) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_31,negated_conjecture,
p2(c13,c10),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_20])]) ).
cnf(c_0_32,negated_conjecture,
~ p2(f8(c11,c13),f8(c11,c10)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_11]),c_0_11]),c_0_13]),c_0_31])]) ).
cnf(c_0_33,negated_conjecture,
( p2(f8(X1,X2),f8(X3,X4))
| ~ p2(X2,X4)
| ~ p3(X1,X3) ),
p2_11 ).
cnf(c_0_34,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_11]),c_0_31])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN556-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n029.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 21:53:40 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.58 start to proof: theBenchmark
% 79.40/79.46 % Version : CSE_E---1.5
% 79.40/79.46 % Problem : theBenchmark.p
% 79.40/79.46 % Proof found
% 79.40/79.46 % SZS status Theorem for theBenchmark.p
% 79.40/79.46 % SZS output start Proof
% See solution above
% 79.40/79.47 % Total time : 78.873000 s
% 79.40/79.47 % SZS output end Proof
% 79.40/79.47 % Total time : 78.878000 s
%------------------------------------------------------------------------------