TSTP Solution File: SYN632-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN632-1 : 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 01:53:33 EDT 2023
% Result : Unsatisfiable 0.14s 0.56s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 40
% Syntax : Number of formulae : 63 ( 10 unt; 28 typ; 0 def)
% Number of atoms : 75 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 83 ( 43 ~; 40 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 40 ( 20 >; 20 *; 0 +; 0 <<)
% Number of predicates : 13 ( 12 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 8 con; 0-2 aty)
% Number of variables : 87 ( 4 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,
p2: ( $i * $i ) > $o ).
tff(decl_29,type,
p19: ( $i * $i ) > $o ).
tff(decl_30,type,
p17: ( $i * $i ) > $o ).
tff(decl_31,type,
p15: ( $i * $i ) > $o ).
tff(decl_32,type,
p13: ( $i * $i ) > $o ).
tff(decl_33,type,
p21: ( $i * $i ) > $o ).
tff(decl_34,type,
c24: $i ).
tff(decl_35,type,
c28: $i ).
tff(decl_36,type,
c25: $i ).
tff(decl_37,type,
c26: $i ).
tff(decl_38,type,
f12: ( $i * $i ) > $i ).
tff(decl_39,type,
f10: ( $i * $i ) > $i ).
tff(decl_40,type,
c22: $i ).
tff(decl_41,type,
f7: ( $i * $i ) > $i ).
tff(decl_42,type,
c23: $i ).
tff(decl_43,type,
f5: ( $i * $i ) > $i ).
tff(decl_44,type,
c27: $i ).
tff(decl_45,type,
f16: ( $i * $i ) > $i ).
tff(decl_46,type,
f18: ( $i * $i ) > $i ).
tff(decl_47,type,
f20: ( $i * $i ) > $i ).
tff(decl_48,type,
f14: ( $i * $i ) > $i ).
tff(decl_49,type,
c29: $i ).
cnf(p4_16,negated_conjecture,
( p4(X1,X2)
| ~ p4(X3,X1)
| ~ p4(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_16) ).
cnf(p4_5,negated_conjecture,
p4(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_5) ).
cnf(p21_23,negated_conjecture,
( p21(X1,X2)
| ~ p3(X3,X2)
| ~ p4(X4,X1)
| ~ p21(X4,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21_23) ).
cnf(p3_6,negated_conjecture,
p3(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_6) ).
cnf(p4_31,negated_conjecture,
( p4(f5(X1,X2),f5(X3,X4))
| ~ p2(X1,X3)
| ~ p3(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_31) ).
cnf(p21_36,negated_conjecture,
( p21(f5(X1,f14(f16(f18(f20(c29,X2),X3),X1),X4)),X4)
| ~ p21(f5(f7(f10(c24,f12(c28,X2)),X1),X3),X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21_36) ).
cnf(p3_33,negated_conjecture,
( p3(X1,X2)
| ~ p21(f5(f7(f10(c24,f12(c25,c26)),X3),X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_33) ).
cnf(p21_38,negated_conjecture,
( p21(f5(f7(f10(c24,X1),X2),X3),f14(f16(f18(f20(c29,X1),X3),X2),X4))
| ~ p21(f5(f7(f10(c24,f12(c28,X1)),X2),X3),X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21_38) ).
cnf(p21_24,negated_conjecture,
p21(f5(f7(f10(c24,f12(c28,f12(c25,c26))),c22),c23),c27),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21_24) ).
cnf(not_p21_35,negated_conjecture,
( ~ p21(f5(c22,c23),X1)
| ~ p21(f5(f7(f10(c24,f12(c25,c26)),c22),X1),c27) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p21_35) ).
cnf(p21_34,negated_conjecture,
( p21(f5(f7(f10(c24,f12(c25,c26)),X1),X2),X3)
| ~ p3(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21_34) ).
cnf(p2_7,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_7) ).
cnf(c_0_12,negated_conjecture,
( p4(X1,X2)
| ~ p4(X3,X1)
| ~ p4(X3,X2) ),
p4_16 ).
cnf(c_0_13,negated_conjecture,
p4(X1,X1),
p4_5 ).
cnf(c_0_14,negated_conjecture,
( p21(X1,X2)
| ~ p3(X3,X2)
| ~ p4(X4,X1)
| ~ p21(X4,X3) ),
p21_23 ).
cnf(c_0_15,negated_conjecture,
p3(X1,X1),
p3_6 ).
cnf(c_0_16,negated_conjecture,
( p4(X1,X2)
| ~ p4(X2,X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,negated_conjecture,
( p4(f5(X1,X2),f5(X3,X4))
| ~ p2(X1,X3)
| ~ p3(X2,X4) ),
p4_31 ).
cnf(c_0_18,negated_conjecture,
( p21(X1,X2)
| ~ p21(X3,X2)
| ~ p4(X3,X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,negated_conjecture,
( p4(f5(X1,X2),f5(X3,X4))
| ~ p2(X3,X1)
| ~ p3(X4,X2) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,negated_conjecture,
( p21(f5(X1,X2),X3)
| ~ p21(f5(X4,X5),X3)
| ~ p2(X1,X4)
| ~ p3(X2,X5) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_21,negated_conjecture,
( p21(f5(X1,f14(f16(f18(f20(c29,X2),X3),X1),X4)),X4)
| ~ p21(f5(f7(f10(c24,f12(c28,X2)),X1),X3),X4) ),
p21_36 ).
cnf(c_0_22,negated_conjecture,
( p3(X1,X2)
| ~ p21(f5(f7(f10(c24,f12(c25,c26)),X3),X1),X2) ),
p3_33 ).
cnf(c_0_23,negated_conjecture,
( p21(f5(f7(f10(c24,X1),X2),X3),f14(f16(f18(f20(c29,X1),X3),X2),X4))
| ~ p21(f5(f7(f10(c24,f12(c28,X1)),X2),X3),X4) ),
p21_38 ).
cnf(c_0_24,negated_conjecture,
( p21(f5(X1,X2),X3)
| ~ p21(f5(f7(f10(c24,f12(c28,X4)),X5),X6),X3)
| ~ p2(X1,X5)
| ~ p3(X2,f14(f16(f18(f20(c29,X4),X6),X5),X3)) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_25,negated_conjecture,
( p3(X1,f14(f16(f18(f20(c29,f12(c25,c26)),X1),X2),X3))
| ~ p21(f5(f7(f10(c24,f12(c28,f12(c25,c26))),X2),X1),X3) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_26,negated_conjecture,
( p21(f5(X1,X2),X3)
| ~ p21(f5(f7(f10(c24,f12(c28,f12(c25,c26))),X4),X2),X3)
| ~ p2(X1,X4) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_27,negated_conjecture,
p21(f5(f7(f10(c24,f12(c28,f12(c25,c26))),c22),c23),c27),
p21_24 ).
cnf(c_0_28,negated_conjecture,
( ~ p21(f5(c22,c23),X1)
| ~ p21(f5(f7(f10(c24,f12(c25,c26)),c22),X1),c27) ),
not_p21_35 ).
cnf(c_0_29,negated_conjecture,
( p21(f5(f7(f10(c24,f12(c25,c26)),X1),X2),X3)
| ~ p3(X2,X3) ),
p21_34 ).
cnf(c_0_30,negated_conjecture,
( p21(f5(X1,c23),c27)
| ~ p2(X1,c22) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_31,negated_conjecture,
p2(X1,X1),
p2_7 ).
cnf(c_0_32,negated_conjecture,
( ~ p21(f5(c22,c23),X1)
| ~ p3(X1,c27) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_33,negated_conjecture,
p21(f5(c22,c23),c27),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_34,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_15])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SYN632-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.09 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.10/0.28 % Computer : n032.cluster.edu
% 0.10/0.28 % Model : x86_64 x86_64
% 0.10/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.28 % Memory : 8042.1875MB
% 0.10/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.28 % CPULimit : 300
% 0.10/0.28 % WCLimit : 300
% 0.10/0.28 % DateTime : Sat Aug 26 20:54:44 EDT 2023
% 0.10/0.28 % CPUTime :
% 0.14/0.45 start to proof: theBenchmark
% 0.14/0.56 % Version : CSE_E---1.5
% 0.14/0.56 % Problem : theBenchmark.p
% 0.14/0.56 % Proof found
% 0.14/0.56 % SZS status Theorem for theBenchmark.p
% 0.14/0.56 % SZS output start Proof
% See solution above
% 0.14/0.57 % Total time : 0.105000 s
% 0.14/0.57 % SZS output end Proof
% 0.14/0.57 % Total time : 0.107000 s
%------------------------------------------------------------------------------