TSTP Solution File: SYN581-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN581-1 : 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 : n032.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 01:53:19 EDT 2023
% Result : Unsatisfiable 0.14s 0.55s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 26
% Syntax : Number of formulae : 42 ( 13 unt; 17 typ; 0 def)
% Number of atoms : 47 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 47 ( 25 ~; 22 |; 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 : 19 ( 11 >; 8 *; 0 +; 0 <<)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 39 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
p7: ( $i * $i ) > $o ).
tff(decl_23,type,
p2: ( $i * $i ) > $o ).
tff(decl_24,type,
p5: ( $i * $i ) > $o ).
tff(decl_25,type,
c13: $i ).
tff(decl_26,type,
c18: $i ).
tff(decl_27,type,
p12: ( $i * $i ) > $o ).
tff(decl_28,type,
c14: $i ).
tff(decl_29,type,
f3: $i > $i ).
tff(decl_30,type,
c17: $i ).
tff(decl_31,type,
f9: $i > $i ).
tff(decl_32,type,
f8: $i > $i ).
tff(decl_33,type,
c15: $i ).
tff(decl_34,type,
f6: ( $i * $i ) > $i ).
tff(decl_35,type,
f4: $i > $i ).
tff(decl_36,type,
c16: $i ).
tff(decl_37,type,
p11: ( $i * $i ) > $o ).
tff(decl_38,type,
p10: ( $i * $i * $i ) > $o ).
cnf(p11_21,negated_conjecture,
( p11(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X4,X2)
| ~ p11(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_21) ).
cnf(p2_2,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_2) ).
cnf(p2_14,negated_conjecture,
( p2(f4(X1),f4(X2))
| ~ p2(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_14) ).
cnf(p11_8,negated_conjecture,
p11(f4(f6(c15,c14)),c16),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_8) ).
cnf(p2_18,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_18) ).
cnf(not_p11_9,negated_conjecture,
~ p11(f4(f6(c15,c18)),c16),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p11_9) ).
cnf(p2_5,negated_conjecture,
p2(c18,c14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_5) ).
cnf(p2_23,negated_conjecture,
( p2(f6(X1,X2),f6(X3,X4))
| ~ p2(X2,X4)
| ~ p5(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_23) ).
cnf(p5_3,negated_conjecture,
p5(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_3) ).
cnf(c_0_9,negated_conjecture,
( p11(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X4,X2)
| ~ p11(X3,X4) ),
p11_21 ).
cnf(c_0_10,negated_conjecture,
p2(X1,X1),
p2_2 ).
cnf(c_0_11,negated_conjecture,
( p11(X1,X2)
| ~ p11(X3,X2)
| ~ p2(X3,X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_12,negated_conjecture,
( p2(f4(X1),f4(X2))
| ~ p2(X1,X2) ),
p2_14 ).
cnf(c_0_13,negated_conjecture,
( p11(f4(X1),X2)
| ~ p11(f4(X3),X2)
| ~ p2(X3,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_14,negated_conjecture,
p11(f4(f6(c15,c14)),c16),
p11_8 ).
cnf(c_0_15,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
p2_18 ).
cnf(c_0_16,negated_conjecture,
~ p11(f4(f6(c15,c18)),c16),
not_p11_9 ).
cnf(c_0_17,negated_conjecture,
( p11(f4(X1),c16)
| ~ p2(f6(c15,c14),X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,negated_conjecture,
( p2(X1,X2)
| ~ p2(X2,X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_10]) ).
cnf(c_0_19,negated_conjecture,
p2(c18,c14),
p2_5 ).
cnf(c_0_20,negated_conjecture,
~ p2(f6(c15,c14),f6(c15,c18)),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,negated_conjecture,
( p2(f6(X1,X2),f6(X3,X4))
| ~ p2(X2,X4)
| ~ p5(X1,X3) ),
p2_23 ).
cnf(c_0_22,negated_conjecture,
p5(X1,X1),
p5_3 ).
cnf(c_0_23,negated_conjecture,
p2(c14,c18),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_24,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]),c_0_23])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SYN581-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.10 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Sat Aug 26 18:58:59 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.14/0.47 start to proof: theBenchmark
% 0.14/0.55 % Version : CSE_E---1.5
% 0.14/0.55 % Problem : theBenchmark.p
% 0.14/0.55 % Proof found
% 0.14/0.55 % SZS status Theorem for theBenchmark.p
% 0.14/0.55 % SZS output start Proof
% See solution above
% 0.14/0.55 % Total time : 0.068000 s
% 0.14/0.55 % SZS output end Proof
% 0.14/0.55 % Total time : 0.069000 s
%------------------------------------------------------------------------------