TSTP Solution File: SYN578-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN578-1 : 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 : 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 01:53:18 EDT 2023
% Result : Unsatisfiable 0.19s 0.59s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 29
% Syntax : Number of formulae : 63 ( 20 unt; 15 typ; 0 def)
% Number of atoms : 98 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 100 ( 50 ~; 50 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 17 ( 10 >; 7 *; 0 +; 0 <<)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 64 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
p10: ( $i * $i ) > $o ).
tff(decl_23,type,
p7: ( $i * $i ) > $o ).
tff(decl_24,type,
p3: ( $i * $i ) > $o ).
tff(decl_25,type,
p2: ( $i * $i ) > $o ).
tff(decl_26,type,
c12: $i ).
tff(decl_27,type,
c13: $i ).
tff(decl_28,type,
p9: ( $i * $i ) > $o ).
tff(decl_29,type,
c14: $i ).
tff(decl_30,type,
c15: $i ).
tff(decl_31,type,
p11: ( $i * $i ) > $o ).
tff(decl_32,type,
c16: $i ).
tff(decl_33,type,
f5: $i > $i ).
tff(decl_34,type,
f4: $i > $i ).
tff(decl_35,type,
f6: $i > $i ).
tff(decl_36,type,
f8: ( $i * $i ) > $i ).
cnf(p3_17,negated_conjecture,
( p3(X1,X2)
| ~ p3(X3,X1)
| ~ p3(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_17) ).
cnf(p3_14,negated_conjecture,
( p3(f4(X1),f4(X2))
| ~ p2(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_14) ).
cnf(p2_18,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_18) ).
cnf(p2_4,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_4) ).
cnf(p2_7,negated_conjecture,
p2(c16,f5(c14)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_7) ).
cnf(p3_8,negated_conjecture,
p3(f4(f5(X1)),f4(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_8) ).
cnf(p3_3,negated_conjecture,
p3(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_3) ).
cnf(p9_20,negated_conjecture,
( p9(X1,X2)
| ~ p7(X3,X1)
| ~ p9(X3,X4)
| ~ p3(X4,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_20) ).
cnf(p9_22,negated_conjecture,
( p9(f8(X1,X2),X1)
| p9(f8(X1,X2),f4(X2))
| ~ p11(X2,c15)
| ~ p9(c12,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_22) ).
cnf(p11_6,negated_conjecture,
p11(c14,c15),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_6) ).
cnf(p7_2,negated_conjecture,
p7(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_2) ).
cnf(p9_11,negated_conjecture,
( p9(X1,f4(c16))
| ~ p9(X1,c13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_11) ).
cnf(p9_5,negated_conjecture,
p9(c12,c13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_5) ).
cnf(not_p11_23,negated_conjecture,
( ~ p11(X1,c15)
| ~ p9(c12,X2)
| ~ p9(f8(X2,X1),X2)
| ~ p9(f8(X2,X1),f4(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p11_23) ).
cnf(c_0_14,negated_conjecture,
( p3(X1,X2)
| ~ p3(X3,X1)
| ~ p3(X3,X2) ),
p3_17 ).
cnf(c_0_15,negated_conjecture,
( p3(f4(X1),f4(X2))
| ~ p2(X1,X2) ),
p3_14 ).
cnf(c_0_16,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
p2_18 ).
cnf(c_0_17,negated_conjecture,
p2(X1,X1),
p2_4 ).
cnf(c_0_18,negated_conjecture,
( p3(X1,f4(X2))
| ~ p2(X3,X2)
| ~ p3(f4(X3),X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,negated_conjecture,
( p2(X1,X2)
| ~ p2(X2,X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,negated_conjecture,
p2(c16,f5(c14)),
p2_7 ).
cnf(c_0_21,negated_conjecture,
p3(f4(f5(X1)),f4(X1)),
p3_8 ).
cnf(c_0_22,negated_conjecture,
( p3(f4(X1),f4(X2))
| ~ p2(X3,X2)
| ~ p2(X3,X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_15]) ).
cnf(c_0_23,negated_conjecture,
p2(f5(c14),c16),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_24,negated_conjecture,
( p3(X1,f4(X2))
| ~ p3(f4(f5(X2)),X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_21]) ).
cnf(c_0_25,negated_conjecture,
( p3(f4(X1),f4(c16))
| ~ p2(f5(c14),X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_26,negated_conjecture,
p3(X1,X1),
p3_3 ).
cnf(c_0_27,negated_conjecture,
( p3(f4(c16),f4(X1))
| ~ p2(f5(c14),f5(X1)) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_28,negated_conjecture,
( p3(X1,X2)
| ~ p3(X2,X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_26]) ).
cnf(c_0_29,negated_conjecture,
p3(f4(c16),f4(c14)),
inference(spm,[status(thm)],[c_0_27,c_0_17]) ).
cnf(c_0_30,negated_conjecture,
( p9(X1,X2)
| ~ p7(X3,X1)
| ~ p9(X3,X4)
| ~ p3(X4,X2) ),
p9_20 ).
cnf(c_0_31,negated_conjecture,
p3(f4(c14),f4(c16)),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_32,negated_conjecture,
( p9(f8(X1,X2),X1)
| p9(f8(X1,X2),f4(X2))
| ~ p11(X2,c15)
| ~ p9(c12,X1) ),
p9_22 ).
cnf(c_0_33,negated_conjecture,
p11(c14,c15),
p11_6 ).
cnf(c_0_34,negated_conjecture,
( p9(X1,f4(c14))
| ~ p9(X2,f4(c16))
| ~ p7(X2,X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_29]) ).
cnf(c_0_35,negated_conjecture,
p7(X1,X1),
p7_2 ).
cnf(c_0_36,negated_conjecture,
( p9(X1,f4(c16))
| ~ p9(X2,f4(c14))
| ~ p7(X2,X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_37,negated_conjecture,
( p9(f8(X1,c14),f4(c14))
| p9(f8(X1,c14),X1)
| ~ p9(c12,X1) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_38,negated_conjecture,
( p9(X1,f4(c16))
| ~ p9(X1,c13) ),
p9_11 ).
cnf(c_0_39,negated_conjecture,
p9(c12,c13),
p9_5 ).
cnf(c_0_40,negated_conjecture,
( ~ p11(X1,c15)
| ~ p9(c12,X2)
| ~ p9(f8(X2,X1),X2)
| ~ p9(f8(X2,X1),f4(X1)) ),
not_p11_23 ).
cnf(c_0_41,negated_conjecture,
( p9(X1,f4(c14))
| ~ p9(X1,f4(c16)) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_42,negated_conjecture,
( p9(X1,f4(c16))
| ~ p9(X1,f4(c14)) ),
inference(spm,[status(thm)],[c_0_36,c_0_35]) ).
cnf(c_0_43,negated_conjecture,
( p9(f8(f4(c16),c14),f4(c16))
| p9(f8(f4(c16),c14),f4(c14)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39])]) ).
cnf(c_0_44,negated_conjecture,
( ~ p9(f8(X1,c14),f4(c16))
| ~ p9(f8(X1,c14),X1)
| ~ p9(c12,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_33])]) ).
cnf(c_0_45,negated_conjecture,
p9(f8(f4(c16),c14),f4(c16)),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_46,negated_conjecture,
~ p9(c12,f4(c16)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_45])]) ).
cnf(c_0_47,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_38]),c_0_39])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN578-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n002.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sat Aug 26 20:14:48 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.55 start to proof: theBenchmark
% 0.19/0.59 % Version : CSE_E---1.5
% 0.19/0.59 % Problem : theBenchmark.p
% 0.19/0.59 % Proof found
% 0.19/0.59 % SZS status Theorem for theBenchmark.p
% 0.19/0.59 % SZS output start Proof
% See solution above
% 0.19/0.59 % Total time : 0.033000 s
% 0.19/0.59 % SZS output end Proof
% 0.19/0.59 % Total time : 0.036000 s
%------------------------------------------------------------------------------