TSTP Solution File: SYN672-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN672-1 : 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 : n023.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 01:53:43 EDT 2023
% Result : Unsatisfiable 1.32s 1.41s
% Output : CNFRefutation 1.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 51
% Syntax : Number of formulae : 67 ( 14 unt; 41 typ; 0 def)
% Number of atoms : 52 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 54 ( 28 ~; 26 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 60 ( 30 >; 30 *; 0 +; 0 <<)
% Number of predicates : 20 ( 19 usr; 1 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 11 con; 0-2 aty)
% Number of variables : 47 ( 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,
p5: ( $i * $i ) > $o ).
tff(decl_27,type,
p3: ( $i * $i ) > $o ).
tff(decl_28,type,
p28: ( $i * $i ) > $o ).
tff(decl_29,type,
p26: ( $i * $i ) > $o ).
tff(decl_30,type,
p24: ( $i * $i ) > $o ).
tff(decl_31,type,
p22: ( $i * $i ) > $o ).
tff(decl_32,type,
p21: ( $i * $i ) > $o ).
tff(decl_33,type,
p2: ( $i * $i ) > $o ).
tff(decl_34,type,
p19: ( $i * $i ) > $o ).
tff(decl_35,type,
p18: ( $i * $i ) > $o ).
tff(decl_36,type,
p16: ( $i * $i ) > $o ).
tff(decl_37,type,
p15: ( $i * $i ) > $o ).
tff(decl_38,type,
p13: ( $i * $i ) > $o ).
tff(decl_39,type,
c40: $i ).
tff(decl_40,type,
c38: $i ).
tff(decl_41,type,
c39: $i ).
tff(decl_42,type,
f14: ( $i * $i ) > $i ).
tff(decl_43,type,
c36: $i ).
tff(decl_44,type,
f20: ( $i * $i ) > $i ).
tff(decl_45,type,
c37: $i ).
tff(decl_46,type,
f17: ( $i * $i ) > $i ).
tff(decl_47,type,
p31: ( $i * $i ) > $o ).
tff(decl_48,type,
c34: $i ).
tff(decl_49,type,
f7: ( $i * $i ) > $i ).
tff(decl_50,type,
f4: ( $i * $i ) > $i ).
tff(decl_51,type,
p30: ( $i * $i ) > $o ).
tff(decl_52,type,
c32: $i ).
tff(decl_53,type,
c33: $i ).
tff(decl_54,type,
f12: ( $i * $i ) > $i ).
tff(decl_55,type,
c35: $i ).
tff(decl_56,type,
f10: ( $i * $i ) > $i ).
tff(decl_57,type,
f23: ( $i * $i ) > $i ).
tff(decl_58,type,
f27: ( $i * $i ) > $i ).
tff(decl_59,type,
f25: ( $i * $i ) > $i ).
tff(decl_60,type,
f29: ( $i * $i ) > $i ).
tff(decl_61,type,
c41: $i ).
tff(decl_62,type,
c42: $i ).
cnf(p30_39,negated_conjecture,
( p30(X1,X2)
| ~ p30(X3,X4)
| ~ p9(X3,X1)
| ~ p3(X4,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p30_39) ).
cnf(p3_6,negated_conjecture,
p3(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_6) ).
cnf(p9_42,negated_conjecture,
( p9(f10(X1,X2),f10(X3,X4))
| ~ p3(X2,X4)
| ~ p8(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_42) ).
cnf(p30_54,negated_conjecture,
( p30(f10(f12(c32,c33),f4(f7(c34,c35),X1)),f4(f7(c34,c35),X2))
| ~ p30(f10(f12(c32,c33),X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p30_54) ).
cnf(p3_37,negated_conjecture,
p3(f4(f7(c34,X1),f14(c38,X2)),f14(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_37) ).
cnf(p3_53,negated_conjecture,
( p3(X1,f14(c38,X2))
| p30(f10(f12(c32,c33),f14(c38,X2)),X1)
| ~ p31(f20(c36,X2),f17(c37,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_53) ).
cnf(p31_19,negated_conjecture,
p31(f20(c36,c39),f17(c37,c40)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p31_19) ).
cnf(not_p3_18,negated_conjecture,
~ p3(c40,f14(c38,c39)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p3_18) ).
cnf(not_p30_40,negated_conjecture,
~ p30(f10(f12(c32,c33),f14(c35,c39)),f4(f7(c34,c35),c40)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p30_40) ).
cnf(p8_3,negated_conjecture,
p8(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_3) ).
cnf(c_0_10,negated_conjecture,
( p30(X1,X2)
| ~ p30(X3,X4)
| ~ p9(X3,X1)
| ~ p3(X4,X2) ),
p30_39 ).
cnf(c_0_11,negated_conjecture,
p3(X1,X1),
p3_6 ).
cnf(c_0_12,negated_conjecture,
( p30(X1,X2)
| ~ p30(X3,X2)
| ~ p9(X3,X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_13,negated_conjecture,
( p9(f10(X1,X2),f10(X3,X4))
| ~ p3(X2,X4)
| ~ p8(X1,X3) ),
p9_42 ).
cnf(c_0_14,negated_conjecture,
( p30(f10(X1,X2),X3)
| ~ p30(f10(X4,X5),X3)
| ~ p3(X5,X2)
| ~ p8(X4,X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_15,negated_conjecture,
( p30(f10(f12(c32,c33),f4(f7(c34,c35),X1)),f4(f7(c34,c35),X2))
| ~ p30(f10(f12(c32,c33),X1),X2) ),
p30_54 ).
cnf(c_0_16,negated_conjecture,
( p30(f10(X1,X2),f4(f7(c34,c35),X3))
| ~ p30(f10(f12(c32,c33),X4),X3)
| ~ p3(f4(f7(c34,c35),X4),X2)
| ~ p8(f12(c32,c33),X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_17,negated_conjecture,
p3(f4(f7(c34,X1),f14(c38,X2)),f14(X1,X2)),
p3_37 ).
cnf(c_0_18,negated_conjecture,
( p3(X1,f14(c38,X2))
| p30(f10(f12(c32,c33),f14(c38,X2)),X1)
| ~ p31(f20(c36,X2),f17(c37,X1)) ),
p3_53 ).
cnf(c_0_19,negated_conjecture,
p31(f20(c36,c39),f17(c37,c40)),
p31_19 ).
cnf(c_0_20,negated_conjecture,
~ p3(c40,f14(c38,c39)),
not_p3_18 ).
cnf(c_0_21,negated_conjecture,
~ p30(f10(f12(c32,c33),f14(c35,c39)),f4(f7(c34,c35),c40)),
not_p30_40 ).
cnf(c_0_22,negated_conjecture,
( p30(f10(X1,f14(c35,X2)),f4(f7(c34,c35),X3))
| ~ p30(f10(f12(c32,c33),f14(c38,X2)),X3)
| ~ p8(f12(c32,c33),X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_23,negated_conjecture,
p30(f10(f12(c32,c33),f14(c38,c39)),c40),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]) ).
cnf(c_0_24,negated_conjecture,
p8(X1,X1),
p8_3 ).
cnf(c_0_25,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]),c_0_24])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN672-1 : TPTP v8.1.2. Released v2.5.0.
% 0.06/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n023.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 20:12:11 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.19/0.54 start to proof: theBenchmark
% 1.32/1.41 % Version : CSE_E---1.5
% 1.32/1.41 % Problem : theBenchmark.p
% 1.32/1.41 % Proof found
% 1.32/1.41 % SZS status Theorem for theBenchmark.p
% 1.32/1.41 % SZS output start Proof
% See solution above
% 1.32/1.42 % Total time : 0.862000 s
% 1.32/1.42 % SZS output end Proof
% 1.32/1.42 % Total time : 0.866000 s
%------------------------------------------------------------------------------