TSTP Solution File: SYN623-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN623-1 : 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 01:53:31 EDT 2023
% Result : Unsatisfiable 0.12s 0.53s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 41
% Syntax : Number of formulae : 67 ( 20 unt; 28 typ; 0 def)
% Number of atoms : 83 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 85 ( 41 ~; 44 |; 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 : 34 ( 17 >; 17 *; 0 +; 0 <<)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 11 con; 0-2 aty)
% Number of variables : 53 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
p10: ( $i * $i ) > $o ).
tff(decl_23,type,
p8: ( $i * $i ) > $o ).
tff(decl_24,type,
p7: ( $i * $i ) > $o ).
tff(decl_25,type,
p5: ( $i * $i ) > $o ).
tff(decl_26,type,
p3: ( $i * $i ) > $o ).
tff(decl_27,type,
p2: ( $i * $i ) > $o ).
tff(decl_28,type,
p17: ( $i * $i ) > $o ).
tff(decl_29,type,
p14: ( $i * $i ) > $o ).
tff(decl_30,type,
p12: ( $i * $i ) > $o ).
tff(decl_31,type,
c26: $i ).
tff(decl_32,type,
c25: $i ).
tff(decl_33,type,
p18: ( $i * $i ) > $o ).
tff(decl_34,type,
c22: $i ).
tff(decl_35,type,
c23: $i ).
tff(decl_36,type,
c24: $i ).
tff(decl_37,type,
c21: $i ).
tff(decl_38,type,
p16: ( $i * $i ) > $o ).
tff(decl_39,type,
c20: $i ).
tff(decl_40,type,
f4: ( $i * $i ) > $i ).
tff(decl_41,type,
c19: $i ).
tff(decl_42,type,
c27: $i ).
tff(decl_43,type,
f6: ( $i * $i ) > $i ).
tff(decl_44,type,
f9: ( $i * $i ) > $i ).
tff(decl_45,type,
f15: ( $i * $i ) > $i ).
tff(decl_46,type,
f13: ( $i * $i ) > $i ).
tff(decl_47,type,
f11: ( $i * $i ) > $i ).
tff(decl_48,type,
c28: $i ).
tff(decl_49,type,
c29: $i ).
cnf(p16_35,negated_conjecture,
( p16(f4(X1,X2),X3)
| p16(f4(f6(c27,X4),f13(f15(c28,X1),X4)),f9(f11(c29,X1),X4))
| ~ p2(X1,X4)
| ~ p18(c26,X4)
| ~ p16(f4(c19,X2),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_35) ).
cnf(p16_15,negated_conjecture,
p16(f4(c19,c20),c21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_15) ).
cnf(p3_20,negated_conjecture,
( p3(X1,X2)
| ~ p3(X3,X1)
| ~ p3(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_20) ).
cnf(p3_5,negated_conjecture,
p3(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_5) ).
cnf(p16_25,negated_conjecture,
( p16(f4(c25,X1),X2)
| ~ p16(f4(f6(c27,c25),X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_25) ).
cnf(p18_10,negated_conjecture,
p18(c26,c25),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18_10) ).
cnf(p3_14,negated_conjecture,
p3(c23,f4(c24,c20)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_14) ).
cnf(p16_34,negated_conjecture,
( p16(f4(X1,X2),X3)
| ~ p2(X1,X4)
| ~ p18(c26,X4)
| ~ p16(f4(c19,X2),X3)
| ~ p16(f4(X4,f13(f15(c28,X1),X4)),f9(f11(c29,X1),X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_34) ).
cnf(p3_11,negated_conjecture,
p3(c22,c23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_11) ).
cnf(p16_26,negated_conjecture,
( p16(X1,X2)
| ~ p3(X3,X1)
| ~ p8(X4,X2)
| ~ p16(X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16_26) ).
cnf(p2_12,negated_conjecture,
p2(c24,c25),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_12) ).
cnf(p8_2,negated_conjecture,
p8(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_2) ).
cnf(not_p16_13,negated_conjecture,
~ p16(c22,c21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p16_13) ).
cnf(c_0_13,negated_conjecture,
( p16(f4(X1,X2),X3)
| p16(f4(f6(c27,X4),f13(f15(c28,X1),X4)),f9(f11(c29,X1),X4))
| ~ p2(X1,X4)
| ~ p18(c26,X4)
| ~ p16(f4(c19,X2),X3) ),
p16_35 ).
cnf(c_0_14,negated_conjecture,
p16(f4(c19,c20),c21),
p16_15 ).
cnf(c_0_15,negated_conjecture,
( p3(X1,X2)
| ~ p3(X3,X1)
| ~ p3(X3,X2) ),
p3_20 ).
cnf(c_0_16,negated_conjecture,
p3(X1,X1),
p3_5 ).
cnf(c_0_17,negated_conjecture,
( p16(f4(c25,X1),X2)
| ~ p16(f4(f6(c27,c25),X1),X2) ),
p16_25 ).
cnf(c_0_18,negated_conjecture,
( p16(f4(f6(c27,X1),f13(f15(c28,X2),X1)),f9(f11(c29,X2),X1))
| p16(f4(X2,c20),c21)
| ~ p18(c26,X1)
| ~ p2(X2,X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_19,negated_conjecture,
p18(c26,c25),
p18_10 ).
cnf(c_0_20,negated_conjecture,
( p3(X1,X2)
| ~ p3(X2,X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_21,negated_conjecture,
p3(c23,f4(c24,c20)),
p3_14 ).
cnf(c_0_22,negated_conjecture,
( p16(f4(X1,X2),X3)
| ~ p2(X1,X4)
| ~ p18(c26,X4)
| ~ p16(f4(c19,X2),X3)
| ~ p16(f4(X4,f13(f15(c28,X1),X4)),f9(f11(c29,X1),X4)) ),
p16_34 ).
cnf(c_0_23,negated_conjecture,
( p16(f4(c25,f13(f15(c28,X1),c25)),f9(f11(c29,X1),c25))
| p16(f4(X1,c20),c21)
| ~ p2(X1,c25) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]) ).
cnf(c_0_24,negated_conjecture,
p3(c22,c23),
p3_11 ).
cnf(c_0_25,negated_conjecture,
( p16(X1,X2)
| ~ p3(X3,X1)
| ~ p8(X4,X2)
| ~ p16(X3,X4) ),
p16_26 ).
cnf(c_0_26,negated_conjecture,
p3(f4(c24,c20),c23),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_27,negated_conjecture,
( p16(f4(X1,c20),c21)
| p16(f4(X1,X2),X3)
| ~ p16(f4(c19,X2),X3)
| ~ p2(X1,c25) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_19])]) ).
cnf(c_0_28,negated_conjecture,
p3(c23,c22),
inference(spm,[status(thm)],[c_0_20,c_0_24]) ).
cnf(c_0_29,negated_conjecture,
( p16(c23,X1)
| ~ p16(f4(c24,c20),X2)
| ~ p8(X2,X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_30,negated_conjecture,
( p16(f4(X1,c20),c21)
| ~ p2(X1,c25) ),
inference(spm,[status(thm)],[c_0_27,c_0_14]) ).
cnf(c_0_31,negated_conjecture,
p2(c24,c25),
p2_12 ).
cnf(c_0_32,negated_conjecture,
( p16(c22,X1)
| ~ p16(c23,X2)
| ~ p8(X2,X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_28]) ).
cnf(c_0_33,negated_conjecture,
p8(X1,X1),
p8_2 ).
cnf(c_0_34,negated_conjecture,
( p16(c23,X1)
| ~ p8(c21,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31])]) ).
cnf(c_0_35,negated_conjecture,
( p16(c22,X1)
| ~ p16(c23,X1) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_36,negated_conjecture,
p16(c23,c21),
inference(spm,[status(thm)],[c_0_34,c_0_33]) ).
cnf(c_0_37,negated_conjecture,
~ p16(c22,c21),
not_p16_13 ).
cnf(c_0_38,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : SYN623-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.08 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.10/0.27 % Computer : n032.cluster.edu
% 0.10/0.27 % Model : x86_64 x86_64
% 0.10/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.27 % Memory : 8042.1875MB
% 0.10/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.27 % CPULimit : 300
% 0.10/0.27 % WCLimit : 300
% 0.10/0.27 % DateTime : Sat Aug 26 17:45:29 EDT 2023
% 0.10/0.27 % CPUTime :
% 0.12/0.46 start to proof: theBenchmark
% 0.12/0.53 % Version : CSE_E---1.5
% 0.12/0.53 % Problem : theBenchmark.p
% 0.12/0.53 % Proof found
% 0.12/0.53 % SZS status Theorem for theBenchmark.p
% 0.12/0.53 % SZS output start Proof
% See solution above
% 0.12/0.53 % Total time : 0.064000 s
% 0.12/0.53 % SZS output end Proof
% 0.12/0.53 % Total time : 0.067000 s
%------------------------------------------------------------------------------