TSTP Solution File: SYN649-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN649-1 : 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 : n002.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 01:53:37 EDT 2023
% Result : Unsatisfiable 0.20s 0.60s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 39
% Syntax : Number of formulae : 51 ( 3 unt; 32 typ; 0 def)
% Number of atoms : 39 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 45 ( 25 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 7 ( 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 : 19 ( 19 usr; 10 con; 0-2 aty)
% Number of variables : 43 ( 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,
p23: ( $i * $i ) > $o ).
tff(decl_35,type,
c26: $i ).
tff(decl_36,type,
c27: $i ).
tff(decl_37,type,
c28: $i ).
tff(decl_38,type,
f12: ( $i * $i ) > $i ).
tff(decl_39,type,
f10: ( $i * $i ) > $i ).
tff(decl_40,type,
c24: $i ).
tff(decl_41,type,
f7: ( $i * $i ) > $i ).
tff(decl_42,type,
c25: $i ).
tff(decl_43,type,
f5: ( $i * $i ) > $i ).
tff(decl_44,type,
c29: $i ).
tff(decl_45,type,
f16: ( $i * $i ) > $i ).
tff(decl_46,type,
f22: ( $i * $i ) > $i ).
tff(decl_47,type,
f18: ( $i * $i ) > $i ).
tff(decl_48,type,
f20: ( $i * $i ) > $i ).
tff(decl_49,type,
f14: ( $i * $i ) > $i ).
tff(decl_50,type,
c31: $i ).
tff(decl_51,type,
c32: $i ).
tff(decl_52,type,
c33: $i ).
tff(decl_53,type,
c30: $i ).
cnf(p23_42,negated_conjecture,
( p23(f5(f7(f10(c26,f12(c27,X1)),X2),X3),X4)
| ~ p23(f5(X2,X5),X4)
| ~ p23(f5(f7(f10(c26,X1),X2),X3),X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p23_42) ).
cnf(p23_41,negated_conjecture,
( p23(f5(f7(f10(c26,c28),c24),f14(f22(c33,X1),X2)),X1)
| ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p23_41) ).
cnf(not_p23_38,negated_conjecture,
( ~ p23(f5(c24,c25),X1)
| ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),X1),c29) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p23_38) ).
cnf(p23_39,negated_conjecture,
( p23(f5(c24,X1),f14(f22(c33,X2),X1))
| ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p23_39) ).
cnf(p23_44,negated_conjecture,
( p23(f5(f7(f10(c26,X1),X2),X3),f14(f16(f18(f20(c30,X1),X3),X2),X4))
| ~ p23(f5(f7(f10(c26,f12(c27,X1)),X2),X3),X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p23_44) ).
cnf(p23_40,negated_conjecture,
( p23(f5(X1,f14(f16(f18(f20(c30,X2),X3),X1),X4)),X4)
| ~ p23(f5(f7(f10(c26,f12(c27,X2)),X1),X3),X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p23_40) ).
cnf(p23_26,negated_conjecture,
p23(f5(f7(f10(c26,f12(c27,f12(c27,c28))),c24),c25),c29),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p23_26) ).
cnf(c_0_7,negated_conjecture,
( p23(f5(f7(f10(c26,f12(c27,X1)),X2),X3),X4)
| ~ p23(f5(X2,X5),X4)
| ~ p23(f5(f7(f10(c26,X1),X2),X3),X5) ),
p23_42 ).
cnf(c_0_8,negated_conjecture,
( p23(f5(f7(f10(c26,c28),c24),f14(f22(c33,X1),X2)),X1)
| ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),X2),X1) ),
p23_41 ).
cnf(c_0_9,negated_conjecture,
( ~ p23(f5(c24,c25),X1)
| ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),X1),c29) ),
not_p23_38 ).
cnf(c_0_10,negated_conjecture,
( p23(f5(f7(f10(c26,f12(c27,c28)),c24),f14(f22(c33,X1),X2)),X3)
| ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),X2),X1)
| ~ p23(f5(c24,X1),X3) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,negated_conjecture,
( ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),X1),X2)
| ~ p23(f5(c24,c25),f14(f22(c33,X2),X1))
| ~ p23(f5(c24,X2),c29) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_12,negated_conjecture,
( p23(f5(c24,X1),f14(f22(c33,X2),X1))
| ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),X1),X2) ),
p23_39 ).
cnf(c_0_13,negated_conjecture,
( ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),c25),X1)
| ~ p23(f5(c24,X1),c29) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_14,negated_conjecture,
( p23(f5(f7(f10(c26,X1),X2),X3),f14(f16(f18(f20(c30,X1),X3),X2),X4))
| ~ p23(f5(f7(f10(c26,f12(c27,X1)),X2),X3),X4) ),
p23_44 ).
cnf(c_0_15,negated_conjecture,
( ~ p23(f5(c24,f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),X1)),c29)
| ~ p23(f5(f7(f10(c26,f12(c27,f12(c27,c28))),c24),c25),X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_16,negated_conjecture,
( p23(f5(X1,f14(f16(f18(f20(c30,X2),X3),X1),X4)),X4)
| ~ p23(f5(f7(f10(c26,f12(c27,X2)),X1),X3),X4) ),
p23_40 ).
cnf(c_0_17,negated_conjecture,
p23(f5(f7(f10(c26,f12(c27,f12(c27,c28))),c24),c25),c29),
p23_26 ).
cnf(c_0_18,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN649-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n002.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 19:14:03 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.57 start to proof: theBenchmark
% 0.20/0.60 % Version : CSE_E---1.5
% 0.20/0.60 % Problem : theBenchmark.p
% 0.20/0.60 % Proof found
% 0.20/0.60 % SZS status Theorem for theBenchmark.p
% 0.20/0.60 % SZS output start Proof
% See solution above
% 0.20/0.61 % Total time : 0.023000 s
% 0.20/0.61 % SZS output end Proof
% 0.20/0.61 % Total time : 0.027000 s
%------------------------------------------------------------------------------