TSTP Solution File: SYN558-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN558-1 : 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 : n026.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 0.18s 0.66s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 20
% Syntax : Number of formulae : 51 ( 18 unt; 9 typ; 0 def)
% Number of atoms : 93 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 106 ( 55 ~; 51 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 5 >; 5 *; 0 +; 0 <<)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 77 ( 2 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,
c7: $i ).
tff(decl_25,type,
f3: $i > $i ).
tff(decl_26,type,
p6: ( $i * $i ) > $o ).
tff(decl_27,type,
c10: $i ).
tff(decl_28,type,
c9: $i ).
tff(decl_29,type,
p5: ( $i * $i * $i ) > $o ).
tff(decl_30,type,
c8: $i ).
cnf(p2_9,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_9) ).
cnf(p2_1,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_1) ).
cnf(p2_13,negated_conjecture,
( p2(X1,X2)
| ~ p6(c7,X2)
| ~ p6(c7,X1)
| ~ p5(c7,X3,X2)
| ~ p5(c7,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_13) ).
cnf(p5_6,negated_conjecture,
p5(c7,X1,f3(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_6) ).
cnf(p6_3,negated_conjecture,
p6(c7,f3(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_3) ).
cnf(p5_11,negated_conjecture,
( p5(X1,X2,X3)
| ~ p5(X1,X2,X4)
| ~ p5(X1,X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_11) ).
cnf(p5_14,negated_conjecture,
( p5(X1,X2,X3)
| ~ p2(X4,X2)
| ~ p2(X5,X3)
| ~ p4(X6,X1)
| ~ p5(X6,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_14) ).
cnf(p5_5,negated_conjecture,
p5(c7,c10,c8),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_5) ).
cnf(p5_4,negated_conjecture,
p5(c7,c10,c9),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_4) ).
cnf(not_p5_8,negated_conjecture,
( ~ p5(c7,c8,X1)
| ~ p5(c7,c9,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p5_8) ).
cnf(p4_2,negated_conjecture,
p4(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_2) ).
cnf(c_0_11,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
p2_9 ).
cnf(c_0_12,negated_conjecture,
p2(X1,X1),
p2_1 ).
cnf(c_0_13,negated_conjecture,
( p2(X1,X2)
| ~ p6(c7,X2)
| ~ p6(c7,X1)
| ~ p5(c7,X3,X2)
| ~ p5(c7,X3,X1) ),
p2_13 ).
cnf(c_0_14,negated_conjecture,
p5(c7,X1,f3(X1)),
p5_6 ).
cnf(c_0_15,negated_conjecture,
p6(c7,f3(X1)),
p6_3 ).
cnf(c_0_16,negated_conjecture,
( p2(X1,X2)
| ~ p2(X2,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_17,negated_conjecture,
( p2(X1,f3(X2))
| ~ p5(c7,X2,X1)
| ~ p6(c7,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]) ).
cnf(c_0_18,negated_conjecture,
( p5(X1,X2,X3)
| ~ p5(X1,X2,X4)
| ~ p5(X1,X4,X3) ),
p5_11 ).
cnf(c_0_19,negated_conjecture,
( p2(f3(X1),X2)
| ~ p5(c7,X1,X2)
| ~ p6(c7,X2) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,negated_conjecture,
( p5(c7,X1,f3(X2))
| ~ p5(c7,X1,X2) ),
inference(spm,[status(thm)],[c_0_18,c_0_14]) ).
cnf(c_0_21,negated_conjecture,
( p5(X1,X2,X3)
| ~ p2(X4,X2)
| ~ p2(X5,X3)
| ~ p4(X6,X1)
| ~ p5(X6,X4,X5) ),
p5_14 ).
cnf(c_0_22,negated_conjecture,
( p2(X1,X2)
| ~ p5(c7,X3,X2)
| ~ p6(c7,X2)
| ~ p2(f3(X3),X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_19]) ).
cnf(c_0_23,negated_conjecture,
( p5(c7,X1,f3(X2))
| ~ p5(c7,X1,X3)
| ~ p5(c7,X3,X2) ),
inference(spm,[status(thm)],[c_0_18,c_0_20]) ).
cnf(c_0_24,negated_conjecture,
( p5(X1,X2,X3)
| ~ p4(c7,X1)
| ~ p2(f3(X4),X3)
| ~ p2(X4,X2) ),
inference(spm,[status(thm)],[c_0_21,c_0_14]) ).
cnf(c_0_25,negated_conjecture,
( p2(X1,f3(X2))
| ~ p5(c7,X3,X2)
| ~ p2(f3(X3),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_20]),c_0_15])]) ).
cnf(c_0_26,negated_conjecture,
p5(c7,c10,c8),
p5_5 ).
cnf(c_0_27,negated_conjecture,
( p5(c7,X1,f3(X2))
| ~ p5(c7,f3(X1),X2) ),
inference(spm,[status(thm)],[c_0_23,c_0_14]) ).
cnf(c_0_28,negated_conjecture,
( p5(X1,X2,f3(X3))
| ~ p4(c7,X1)
| ~ p2(X3,X2) ),
inference(spm,[status(thm)],[c_0_24,c_0_12]) ).
cnf(c_0_29,negated_conjecture,
p5(c7,c10,c9),
p5_4 ).
cnf(c_0_30,negated_conjecture,
( p2(X1,f3(c8))
| ~ p2(f3(c10),X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_31,negated_conjecture,
( ~ p5(c7,c8,X1)
| ~ p5(c7,c9,X1) ),
not_p5_8 ).
cnf(c_0_32,negated_conjecture,
p5(c7,X1,f3(f3(f3(X1)))),
inference(spm,[status(thm)],[c_0_27,c_0_14]) ).
cnf(c_0_33,negated_conjecture,
( p5(X1,X2,f3(X3))
| ~ p5(X1,X2,X4)
| ~ p4(c7,X1)
| ~ p2(X3,X4) ),
inference(spm,[status(thm)],[c_0_18,c_0_28]) ).
cnf(c_0_34,negated_conjecture,
p4(X1,X1),
p4_2 ).
cnf(c_0_35,negated_conjecture,
( p2(X1,f3(c9))
| ~ p2(f3(c10),X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_29]) ).
cnf(c_0_36,negated_conjecture,
p2(f3(c10),f3(c8)),
inference(spm,[status(thm)],[c_0_30,c_0_12]) ).
cnf(c_0_37,negated_conjecture,
~ p5(c7,c9,f3(f3(f3(c8)))),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_38,negated_conjecture,
( p5(c7,X1,f3(X2))
| ~ p2(X2,f3(X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_14]),c_0_34])]) ).
cnf(c_0_39,negated_conjecture,
p2(f3(c8),f3(c9)),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_40,negated_conjecture,
~ p5(c7,c9,f3(f3(c8))),
inference(spm,[status(thm)],[c_0_37,c_0_20]) ).
cnf(c_0_41,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.15 % Problem : SYN558-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.16 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.37 % Computer : n026.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8042.1875MB
% 0.12/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sat Aug 26 17:09:48 EDT 2023
% 0.12/0.37 % CPUTime :
% 0.18/0.61 start to proof: theBenchmark
% 0.18/0.66 % Version : CSE_E---1.5
% 0.18/0.66 % Problem : theBenchmark.p
% 0.18/0.66 % Proof found
% 0.18/0.66 % SZS status Theorem for theBenchmark.p
% 0.18/0.66 % SZS output start Proof
% See solution above
% 0.18/0.67 % Total time : 0.045000 s
% 0.18/0.67 % SZS output end Proof
% 0.18/0.67 % Total time : 0.047000 s
%------------------------------------------------------------------------------