TSTP Solution File: SYN624-1 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN624-1 : 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 : n010.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 01:53:31 EDT 2023
% Result : Unsatisfiable 2.28s 2.39s
% Output : CNFRefutation 2.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 32
% Syntax : Number of formulae : 44 ( 12 unt; 25 typ; 0 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 14 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 31 ( 20 >; 11 *; 0 +; 0 <<)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 5 con; 0-2 aty)
% Number of variables : 30 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
p10: ( $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,
p11: ( $i * $i ) > $o ).
tff(decl_27,type,
c24: $i ).
tff(decl_28,type,
f6: $i > $i ).
tff(decl_29,type,
p18: $i > $o ).
tff(decl_30,type,
c22: $i ).
tff(decl_31,type,
f4: $i > $i ).
tff(decl_32,type,
c23: $i ).
tff(decl_33,type,
c25: $i ).
tff(decl_34,type,
f9: $i > $i ).
tff(decl_35,type,
f8: $i > $i ).
tff(decl_36,type,
f7: $i > $i ).
tff(decl_37,type,
p19: ( $i * $i ) > $o ).
tff(decl_38,type,
f15: $i > $i ).
tff(decl_39,type,
f14: $i > $i ).
tff(decl_40,type,
f16: ( $i * $i ) > $i ).
tff(decl_41,type,
f12: $i > $i ).
tff(decl_42,type,
c26: $i ).
tff(decl_43,type,
f13: ( $i * $i ) > $i ).
tff(decl_44,type,
p20: ( $i * $i ) > $o ).
tff(decl_45,type,
p21: ( $i * $i ) > $o ).
tff(decl_46,type,
f17: ( $i * $i ) > $i ).
cnf(p10_21,negated_conjecture,
( p10(X1,X2)
| ~ p10(X3,X1)
| ~ p10(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_21) ).
cnf(p10_1,negated_conjecture,
p10(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_1) ).
cnf(p10_26,negated_conjecture,
p10(f13(f6(c22),X1),f13(f6(c24),f16(c26,X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_26) ).
cnf(p10_32,negated_conjecture,
( p10(f13(X1,X2),f13(X3,X4))
| ~ p10(X2,X4)
| ~ p5(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_32) ).
cnf(not_p10_28,negated_conjecture,
~ p10(f13(f6(c24),c26),f13(f6(c22),f14(f15(f7(c25))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p10_28) ).
cnf(p5_2,negated_conjecture,
p5(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_2) ).
cnf(p10_11,negated_conjecture,
p10(f16(X1,f14(f15(f7(c25)))),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_11) ).
cnf(c_0_7,negated_conjecture,
( p10(X1,X2)
| ~ p10(X3,X1)
| ~ p10(X3,X2) ),
p10_21 ).
cnf(c_0_8,negated_conjecture,
p10(X1,X1),
p10_1 ).
cnf(c_0_9,negated_conjecture,
( p10(X1,X2)
| ~ p10(X2,X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_10,negated_conjecture,
p10(f13(f6(c22),X1),f13(f6(c24),f16(c26,X1))),
p10_26 ).
cnf(c_0_11,negated_conjecture,
p10(f13(f6(c24),f16(c26,X1)),f13(f6(c22),X1)),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_12,negated_conjecture,
( p10(X1,f13(f6(c22),X2))
| ~ p10(f13(f6(c24),f16(c26,X2)),X1) ),
inference(spm,[status(thm)],[c_0_7,c_0_11]) ).
cnf(c_0_13,negated_conjecture,
( p10(f13(X1,X2),f13(X3,X4))
| ~ p10(X2,X4)
| ~ p5(X1,X3) ),
p10_32 ).
cnf(c_0_14,negated_conjecture,
~ p10(f13(f6(c24),c26),f13(f6(c22),f14(f15(f7(c25))))),
not_p10_28 ).
cnf(c_0_15,negated_conjecture,
( p10(f13(X1,X2),f13(f6(c22),X3))
| ~ p5(f6(c24),X1)
| ~ p10(f16(c26,X3),X2) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,negated_conjecture,
p5(X1,X1),
p5_2 ).
cnf(c_0_17,negated_conjecture,
p10(f16(X1,f14(f15(f7(c25)))),X1),
p10_11 ).
cnf(c_0_18,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]),c_0_17])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN624-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 21:22:34 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.56 start to proof: theBenchmark
% 2.28/2.39 % Version : CSE_E---1.5
% 2.28/2.39 % Problem : theBenchmark.p
% 2.28/2.39 % Proof found
% 2.28/2.39 % SZS status Theorem for theBenchmark.p
% 2.28/2.39 % SZS output start Proof
% See solution above
% 2.28/2.39 % Total time : 1.819000 s
% 2.28/2.39 % SZS output end Proof
% 2.28/2.39 % Total time : 1.823000 s
%------------------------------------------------------------------------------