TSTP Solution File: SYN613-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN613-1 : 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 : n020.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 01:53:28 EDT 2023
% Result : Unsatisfiable 0.75s 0.82s
% Output : CNFRefutation 0.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 33
% Syntax : Number of formulae : 51 ( 19 unt; 24 typ; 0 def)
% Number of atoms : 46 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 40 ( 21 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 29 ( 17 >; 12 *; 0 +; 0 <<)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 7 con; 0-2 aty)
% Number of variables : 32 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
p11: ( $i * $i ) > $o ).
tff(decl_23,type,
p6: ( $i * $i ) > $o ).
tff(decl_24,type,
p5: ( $i * $i ) > $o ).
tff(decl_25,type,
p3: ( $i * $i ) > $o ).
tff(decl_26,type,
p2: ( $i * $i ) > $o ).
tff(decl_27,type,
p16: ( $i * $i ) > $o ).
tff(decl_28,type,
c23: $i ).
tff(decl_29,type,
c21: $i ).
tff(decl_30,type,
f9: $i > $i ).
tff(decl_31,type,
f12: $i > $i ).
tff(decl_32,type,
c24: $i ).
tff(decl_33,type,
f13: $i > $i ).
tff(decl_34,type,
f15: $i > $i ).
tff(decl_35,type,
f4: $i > $i ).
tff(decl_36,type,
f10: $i > $i ).
tff(decl_37,type,
c19: $i ).
tff(decl_38,type,
c20: $i ).
tff(decl_39,type,
c22: $i ).
tff(decl_40,type,
f8: ( $i * $i ) > $i ).
tff(decl_41,type,
f7: ( $i * $i ) > $i ).
tff(decl_42,type,
p17: ( $i * $i * $i ) > $o ).
tff(decl_43,type,
p18: ( $i * $i ) > $o ).
tff(decl_44,type,
f14: ( $i * $i ) > $i ).
tff(decl_45,type,
c25: $i ).
cnf(p11_15,negated_conjecture,
( p11(X1,X2)
| ~ p11(X3,X1)
| ~ p11(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_15) ).
cnf(p11_1,negated_conjecture,
p11(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_1) ).
cnf(p11_8,negated_conjecture,
p11(c24,f12(f9(c21))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_8) ).
cnf(p11_7,negated_conjecture,
p11(c23,f12(f9(c21))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_7) ).
cnf(p17_29,negated_conjecture,
( p17(X1,X2,X3)
| ~ p3(X4,X2)
| ~ p16(X5,X1)
| ~ p11(X6,X3)
| ~ p17(X5,X4,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p17_29) ).
cnf(p17_21,negated_conjecture,
p17(c19,f4(f7(f10(c20),f8(f9(c21),c22))),c24),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p17_21) ).
cnf(p3_4,negated_conjecture,
p3(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_4) ).
cnf(not_p17_22,negated_conjecture,
~ p17(c19,f4(f7(f10(c20),f8(f9(c21),c22))),c23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p17_22) ).
cnf(p16_6,negated_conjecture,
p16(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_6) ).
cnf(c_0_9,negated_conjecture,
( p11(X1,X2)
| ~ p11(X3,X1)
| ~ p11(X3,X2) ),
p11_15 ).
cnf(c_0_10,negated_conjecture,
p11(X1,X1),
p11_1 ).
cnf(c_0_11,negated_conjecture,
( p11(X1,X2)
| ~ p11(X2,X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_12,negated_conjecture,
p11(c24,f12(f9(c21))),
p11_8 ).
cnf(c_0_13,negated_conjecture,
p11(f12(f9(c21)),c24),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_14,negated_conjecture,
p11(c23,f12(f9(c21))),
p11_7 ).
cnf(c_0_15,negated_conjecture,
( p17(X1,X2,X3)
| ~ p3(X4,X2)
| ~ p16(X5,X1)
| ~ p11(X6,X3)
| ~ p17(X5,X4,X6) ),
p17_29 ).
cnf(c_0_16,negated_conjecture,
p17(c19,f4(f7(f10(c20),f8(f9(c21),c22))),c24),
p17_21 ).
cnf(c_0_17,negated_conjecture,
( p11(X1,c24)
| ~ p11(f12(f9(c21)),X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_13]) ).
cnf(c_0_18,negated_conjecture,
p11(f12(f9(c21)),c23),
inference(spm,[status(thm)],[c_0_11,c_0_14]) ).
cnf(c_0_19,negated_conjecture,
( p17(X1,X2,X3)
| ~ p16(c19,X1)
| ~ p3(f4(f7(f10(c20),f8(f9(c21),c22))),X2)
| ~ p11(c24,X3) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,negated_conjecture,
p3(X1,X1),
p3_4 ).
cnf(c_0_21,negated_conjecture,
p11(c23,c24),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,negated_conjecture,
~ p17(c19,f4(f7(f10(c20),f8(f9(c21),c22))),c23),
not_p17_22 ).
cnf(c_0_23,negated_conjecture,
( p17(X1,f4(f7(f10(c20),f8(f9(c21),c22))),X2)
| ~ p16(c19,X1)
| ~ p11(c24,X2) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_24,negated_conjecture,
p16(X1,X1),
p16_6 ).
cnf(c_0_25,negated_conjecture,
p11(c24,c23),
inference(spm,[status(thm)],[c_0_11,c_0_21]) ).
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_22,c_0_23]),c_0_24]),c_0_25])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYN613-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sat Aug 26 21:15:44 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.57 start to proof: theBenchmark
% 0.75/0.82 % Version : CSE_E---1.5
% 0.75/0.82 % Problem : theBenchmark.p
% 0.75/0.82 % Proof found
% 0.75/0.82 % SZS status Theorem for theBenchmark.p
% 0.75/0.82 % SZS output start Proof
% See solution above
% 0.75/0.82 % Total time : 0.230000 s
% 0.75/0.82 % SZS output end Proof
% 0.75/0.82 % Total time : 0.232000 s
%------------------------------------------------------------------------------