TSTP Solution File: SYN651-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN651-1 : 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 : n014.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 01:53:38 EDT 2023
% Result : Unsatisfiable 1.65s 1.77s
% Output : CNFRefutation 1.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 46
% Syntax : Number of formulae : 72 ( 13 unt; 33 typ; 0 def)
% Number of atoms : 94 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 112 ( 57 ~; 55 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 44 ( 22 >; 22 *; 0 +; 0 <<)
% Number of predicates : 14 ( 13 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 11 con; 0-2 aty)
% Number of variables : 101 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
p11: ( $i * $i ) > $o ).
tff(decl_23,type,
p9: ( $i * $i ) > $o ).
tff(decl_24,type,
p8: ( $i * $i ) > $o ).
tff(decl_25,type,
p6: ( $i * $i ) > $o ).
tff(decl_26,type,
p4: ( $i * $i ) > $o ).
tff(decl_27,type,
p3: ( $i * $i ) > $o ).
tff(decl_28,type,
p21: ( $i * $i ) > $o ).
tff(decl_29,type,
p2: ( $i * $i ) > $o ).
tff(decl_30,type,
p19: ( $i * $i ) > $o ).
tff(decl_31,type,
p17: ( $i * $i ) > $o ).
tff(decl_32,type,
p15: ( $i * $i ) > $o ).
tff(decl_33,type,
p13: ( $i * $i ) > $o ).
tff(decl_34,type,
c27: $i ).
tff(decl_35,type,
c28: $i ).
tff(decl_36,type,
f5: ( $i * $i ) > $i ).
tff(decl_37,type,
c30: $i ).
tff(decl_38,type,
p23: ( $i * $i ) > $o ).
tff(decl_39,type,
c24: $i ).
tff(decl_40,type,
c25: $i ).
tff(decl_41,type,
c26: $i ).
tff(decl_42,type,
f12: ( $i * $i ) > $i ).
tff(decl_43,type,
f10: ( $i * $i ) > $i ).
tff(decl_44,type,
f7: ( $i * $i ) > $i ).
tff(decl_45,type,
c29: $i ).
tff(decl_46,type,
f16: ( $i * $i ) > $i ).
tff(decl_47,type,
f14: ( $i * $i ) > $i ).
tff(decl_48,type,
f20: ( $i * $i ) > $i ).
tff(decl_49,type,
f18: ( $i * $i ) > $i ).
tff(decl_50,type,
f22: ( $i * $i ) > $i ).
tff(decl_51,type,
c32: $i ).
tff(decl_52,type,
c33: $i ).
tff(decl_53,type,
c34: $i ).
tff(decl_54,type,
c31: $i ).
cnf(p23_27,negated_conjecture,
( p23(X1,X2)
| ~ p3(X3,X2)
| ~ p4(X4,X1)
| ~ p23(X4,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_27) ).
cnf(p3_6,negated_conjecture,
p3(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_6) ).
cnf(p4_32,negated_conjecture,
( p4(f5(X1,X2),f5(X3,X4))
| ~ p2(X1,X3)
| ~ p3(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_32) ).
cnf(p23_41,negated_conjecture,
( p23(f5(X1,f14(f16(f18(f20(c31,X2),X3),X1),X4)),X4)
| ~ p23(f5(f7(f10(c24,f12(c25,X2)),X1),X3),X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_41) ).
cnf(p3_33,negated_conjecture,
( p3(f14(X1,X2),f14(X3,X4))
| ~ p13(X1,X3)
| ~ p3(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_33) ).
cnf(p23_44,negated_conjecture,
( p23(f5(f7(f10(c24,f12(c25,c26)),c27),X1),X2)
| ~ p23(f5(c27,X1),X3)
| ~ p23(f5(f7(f10(c24,c26),c27),X3),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_44) ).
cnf(p23_45,negated_conjecture,
( p23(f5(f7(f10(c24,X1),X2),X3),f14(f16(f18(f20(c31,X1),X3),X2),X4))
| ~ p23(f5(f7(f10(c24,f12(c25,X1)),X2),X3),X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_45) ).
cnf(p23_26,negated_conjecture,
p23(f5(f7(f10(c24,f12(c25,c26)),c27),c30),c29),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_26) ).
cnf(p23_43,negated_conjecture,
( p23(f5(f7(f10(c24,f12(c25,X1)),X2),X3),X4)
| ~ p23(f5(X2,X5),X4)
| ~ p23(f5(f7(f10(c24,X1),X2),X3),X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_43) ).
cnf(p13_12,negated_conjecture,
p13(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p13_12) ).
cnf(p2_8,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_8) ).
cnf(not_p23_28,negated_conjecture,
~ p23(f5(f7(f10(c24,f12(c25,f12(c25,c26))),c27),c28),c29),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p23_28) ).
cnf(p23_13,negated_conjecture,
p23(f5(c27,c28),c30),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23_13) ).
cnf(c_0_13,negated_conjecture,
( p23(X1,X2)
| ~ p3(X3,X2)
| ~ p4(X4,X1)
| ~ p23(X4,X3) ),
p23_27 ).
cnf(c_0_14,negated_conjecture,
p3(X1,X1),
p3_6 ).
cnf(c_0_15,negated_conjecture,
( p23(X1,X2)
| ~ p23(X3,X2)
| ~ p4(X3,X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_16,negated_conjecture,
( p4(f5(X1,X2),f5(X3,X4))
| ~ p2(X1,X3)
| ~ p3(X2,X4) ),
p4_32 ).
cnf(c_0_17,negated_conjecture,
( p23(f5(X1,X2),X3)
| ~ p23(f5(X4,X5),X3)
| ~ p2(X4,X1)
| ~ p3(X5,X2) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_18,negated_conjecture,
( p23(f5(X1,f14(f16(f18(f20(c31,X2),X3),X1),X4)),X4)
| ~ p23(f5(f7(f10(c24,f12(c25,X2)),X1),X3),X4) ),
p23_41 ).
cnf(c_0_19,negated_conjecture,
( p23(f5(X1,X2),X3)
| ~ p23(f5(f7(f10(c24,f12(c25,X4)),X5),X6),X3)
| ~ p2(X5,X1)
| ~ p3(f14(f16(f18(f20(c31,X4),X6),X5),X3),X2) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_20,negated_conjecture,
( p3(f14(X1,X2),f14(X3,X4))
| ~ p13(X1,X3)
| ~ p3(X2,X4) ),
p3_33 ).
cnf(c_0_21,negated_conjecture,
( p23(f5(f7(f10(c24,f12(c25,c26)),c27),X1),X2)
| ~ p23(f5(c27,X1),X3)
| ~ p23(f5(f7(f10(c24,c26),c27),X3),X2) ),
p23_44 ).
cnf(c_0_22,negated_conjecture,
( p23(f5(f7(f10(c24,X1),X2),X3),f14(f16(f18(f20(c31,X1),X3),X2),X4))
| ~ p23(f5(f7(f10(c24,f12(c25,X1)),X2),X3),X4) ),
p23_45 ).
cnf(c_0_23,negated_conjecture,
( p23(f5(X1,f14(X2,X3)),X4)
| ~ p23(f5(f7(f10(c24,f12(c25,X5)),X6),X7),X4)
| ~ p13(f16(f18(f20(c31,X5),X7),X6),X2)
| ~ p2(X6,X1)
| ~ p3(X4,X3) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_24,negated_conjecture,
p23(f5(f7(f10(c24,f12(c25,c26)),c27),c30),c29),
p23_26 ).
cnf(c_0_25,negated_conjecture,
( p23(f5(f7(f10(c24,f12(c25,X1)),X2),X3),X4)
| ~ p23(f5(X2,X5),X4)
| ~ p23(f5(f7(f10(c24,X1),X2),X3),X5) ),
p23_43 ).
cnf(c_0_26,negated_conjecture,
( p23(f5(f7(f10(c24,f12(c25,c26)),c27),X1),f14(f16(f18(f20(c31,c26),X2),c27),X3))
| ~ p23(f5(f7(f10(c24,f12(c25,c26)),c27),X2),X3)
| ~ p23(f5(c27,X1),X2) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_27,negated_conjecture,
( p23(f5(X1,f14(X2,X3)),c29)
| ~ p13(f16(f18(f20(c31,c26),c30),c27),X2)
| ~ p2(c27,X1)
| ~ p3(c29,X3) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_28,negated_conjecture,
p13(X1,X1),
p13_12 ).
cnf(c_0_29,negated_conjecture,
( p23(f5(f7(f10(c24,f12(c25,f12(c25,c26))),c27),X1),X2)
| ~ p23(f5(c27,f14(f16(f18(f20(c31,c26),X3),c27),X4)),X2)
| ~ p23(f5(f7(f10(c24,f12(c25,c26)),c27),X3),X4)
| ~ p23(f5(c27,X1),X3) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_30,negated_conjecture,
( p23(f5(X1,f14(f16(f18(f20(c31,c26),c30),c27),X2)),c29)
| ~ p2(c27,X1)
| ~ p3(c29,X2) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_31,negated_conjecture,
p2(X1,X1),
p2_8 ).
cnf(c_0_32,negated_conjecture,
( p23(f5(X1,X2),c29)
| ~ p2(f7(f10(c24,f12(c25,c26)),c27),X1)
| ~ p3(c30,X2) ),
inference(spm,[status(thm)],[c_0_17,c_0_24]) ).
cnf(c_0_33,negated_conjecture,
( p23(f5(f7(f10(c24,f12(c25,f12(c25,c26))),c27),X1),c29)
| ~ p23(f5(f7(f10(c24,f12(c25,c26)),c27),c30),X2)
| ~ p23(f5(c27,X1),c30)
| ~ p3(c29,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31])]) ).
cnf(c_0_34,negated_conjecture,
( p23(f5(f7(f10(c24,f12(c25,c26)),c27),X1),c29)
| ~ p3(c30,X1) ),
inference(spm,[status(thm)],[c_0_32,c_0_31]) ).
cnf(c_0_35,negated_conjecture,
~ p23(f5(f7(f10(c24,f12(c25,f12(c25,c26))),c27),c28),c29),
not_p23_28 ).
cnf(c_0_36,negated_conjecture,
( p23(f5(f7(f10(c24,f12(c25,f12(c25,c26))),c27),X1),c29)
| ~ p23(f5(c27,X1),c30) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_14]),c_0_14])]) ).
cnf(c_0_37,negated_conjecture,
p23(f5(c27,c28),c30),
p23_13 ).
cnf(c_0_38,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN651-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n014.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 19:54:17 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.58 start to proof: theBenchmark
% 1.65/1.77 % Version : CSE_E---1.5
% 1.65/1.77 % Problem : theBenchmark.p
% 1.65/1.77 % Proof found
% 1.65/1.77 % SZS status Theorem for theBenchmark.p
% 1.65/1.77 % SZS output start Proof
% See solution above
% 1.73/1.77 % Total time : 1.173000 s
% 1.73/1.77 % SZS output end Proof
% 1.73/1.77 % Total time : 1.177000 s
%------------------------------------------------------------------------------