TSTP Solution File: SYN597-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN597-1 : 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 : n009.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 01:53:23 EDT 2023
% Result : Unsatisfiable 40.03s 40.14s
% Output : CNFRefutation 40.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 34
% Syntax : Number of formulae : 50 ( 16 unt; 23 typ; 0 def)
% Number of atoms : 58 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 65 ( 34 ~; 31 |; 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 : 29 ( 17 >; 12 *; 0 +; 0 <<)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 6 con; 0-3 aty)
% Number of variables : 55 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
p10: ( $i * $i ) > $o ).
tff(decl_23,type,
p9: ( $i * $i ) > $o ).
tff(decl_24,type,
p3: ( $i * $i ) > $o ).
tff(decl_25,type,
p2: ( $i * $i ) > $o ).
tff(decl_26,type,
p12: ( $i * $i ) > $o ).
tff(decl_27,type,
c21: $i ).
tff(decl_28,type,
c22: $i ).
tff(decl_29,type,
p16: ( $i * $i ) > $o ).
tff(decl_30,type,
c20: $i ).
tff(decl_31,type,
f8: $i > $i ).
tff(decl_32,type,
p17: ( $i * $i ) > $o ).
tff(decl_33,type,
c19: $i ).
tff(decl_34,type,
f7: $i > $i ).
tff(decl_35,type,
f6: $i > $i ).
tff(decl_36,type,
f5: $i > $i ).
tff(decl_37,type,
f4: $i > $i ).
tff(decl_38,type,
f15: $i > $i ).
tff(decl_39,type,
f14: ( $i * $i ) > $i ).
tff(decl_40,type,
f13: ( $i * $i ) > $i ).
tff(decl_41,type,
c23: $i ).
tff(decl_42,type,
c24: $i ).
tff(decl_43,type,
f11: ( $i * $i * $i ) > $i ).
tff(decl_44,type,
p18: ( $i * $i ) > $o ).
cnf(p18_24,negated_conjecture,
( p18(X1,X2)
| ~ p18(X3,X4)
| ~ p2(X3,X1)
| ~ p10(X4,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_24) ).
cnf(p18_21,negated_conjecture,
p18(c20,f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_21) ).
cnf(p10_28,negated_conjecture,
( p10(f11(X1,X2,X3),f11(X4,X5,X6))
| ~ p2(X1,X4)
| ~ p9(X2,X5)
| ~ p10(X3,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_28) ).
cnf(p2_26,negated_conjecture,
( p2(f13(X1,X2),f13(X3,X4))
| ~ p12(X2,X4)
| ~ p3(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_26) ).
cnf(not_p18_22,negated_conjecture,
~ p18(c20,f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p18_22) ).
cnf(p2_4,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_4) ).
cnf(p3_3,negated_conjecture,
p3(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_3) ).
cnf(p9_2,negated_conjecture,
p9(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_2) ).
cnf(p10_1,negated_conjecture,
p10(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_1) ).
cnf(p12_27,negated_conjecture,
( p12(f14(X1,X2),f14(X3,X4))
| ~ p3(X1,X3)
| ~ p3(X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_27) ).
cnf(p3_7,negated_conjecture,
p3(c21,c22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_7) ).
cnf(c_0_11,negated_conjecture,
( p18(X1,X2)
| ~ p18(X3,X4)
| ~ p2(X3,X1)
| ~ p10(X4,X2) ),
p18_24 ).
cnf(c_0_12,negated_conjecture,
p18(c20,f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24)),
p18_21 ).
cnf(c_0_13,negated_conjecture,
( p18(X1,X2)
| ~ p2(c20,X1)
| ~ p10(f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24),X2) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_14,negated_conjecture,
( p10(f11(X1,X2,X3),f11(X4,X5,X6))
| ~ p2(X1,X4)
| ~ p9(X2,X5)
| ~ p10(X3,X6) ),
p10_28 ).
cnf(c_0_15,negated_conjecture,
( p18(X1,f11(X2,X3,X4))
| ~ p2(f13(f15(c20),f14(f4(c20),c21)),X2)
| ~ p2(c20,X1)
| ~ p9(c23,X3)
| ~ p10(c24,X4) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_16,negated_conjecture,
( p2(f13(X1,X2),f13(X3,X4))
| ~ p12(X2,X4)
| ~ p3(X1,X3) ),
p2_26 ).
cnf(c_0_17,negated_conjecture,
~ p18(c20,f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24)),
not_p18_22 ).
cnf(c_0_18,negated_conjecture,
( p18(X1,f11(f13(X2,X3),X4,X5))
| ~ p12(f14(f4(c20),c21),X3)
| ~ p2(c20,X1)
| ~ p3(f15(c20),X2)
| ~ p9(c23,X4)
| ~ p10(c24,X5) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,negated_conjecture,
p2(X1,X1),
p2_4 ).
cnf(c_0_20,negated_conjecture,
p3(X1,X1),
p3_3 ).
cnf(c_0_21,negated_conjecture,
p9(X1,X1),
p9_2 ).
cnf(c_0_22,negated_conjecture,
p10(X1,X1),
p10_1 ).
cnf(c_0_23,negated_conjecture,
~ p12(f14(f4(c20),c21),f14(f4(c20),c22)),
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_17,c_0_18]),c_0_19]),c_0_20]),c_0_21]),c_0_22])]) ).
cnf(c_0_24,negated_conjecture,
( p12(f14(X1,X2),f14(X3,X4))
| ~ p3(X1,X3)
| ~ p3(X2,X4) ),
p12_27 ).
cnf(c_0_25,negated_conjecture,
p3(c21,c22),
p3_7 ).
cnf(c_0_26,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),c_0_20])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SYN597-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.09 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.09/0.29 % Computer : n009.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Sat Aug 26 19:08:20 EDT 2023
% 0.09/0.29 % CPUTime :
% 0.14/0.51 start to proof: theBenchmark
% 40.03/40.14 % Version : CSE_E---1.5
% 40.03/40.14 % Problem : theBenchmark.p
% 40.03/40.14 % Proof found
% 40.03/40.14 % SZS status Theorem for theBenchmark.p
% 40.03/40.14 % SZS output start Proof
% See solution above
% 40.03/40.14 % Total time : 39.601000 s
% 40.03/40.14 % SZS output end Proof
% 40.03/40.14 % Total time : 39.605000 s
%------------------------------------------------------------------------------