TSTP Solution File: SYN580-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN580-1 : 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 : n025.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 01:53:19 EDT 2023
% Result : Unsatisfiable 0.96s 1.03s
% Output : CNFRefutation 0.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 34
% Syntax : Number of formulae : 88 ( 19 unt; 15 typ; 0 def)
% Number of atoms : 175 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 198 ( 96 ~; 102 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 18 ( 10 >; 8 *; 0 +; 0 <<)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-1 aty)
% Number of variables : 128 ( 1 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,
p4: ( $i * $i ) > $o ).
tff(decl_25,type,
p2: ( $i * $i ) > $o ).
tff(decl_26,type,
c15: $i ).
tff(decl_27,type,
c16: $i ).
tff(decl_28,type,
p11: ( $i * $i ) > $o ).
tff(decl_29,type,
c12: $i ).
tff(decl_30,type,
c13: $i ).
tff(decl_31,type,
p9: ( $i * $i ) > $o ).
tff(decl_32,type,
c14: $i ).
tff(decl_33,type,
f3: $i > $i ).
tff(decl_34,type,
p8: ( $i * $i * $i ) > $o ).
tff(decl_35,type,
f6: $i > $i ).
tff(decl_36,type,
f5: $i > $i ).
cnf(p2_15,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_15) ).
cnf(p2_4,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_4) ).
cnf(p2_7,negated_conjecture,
p2(c14,f3(c15)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_7) ).
cnf(p9_19,negated_conjecture,
( p9(X1,X2)
| ~ p7(X3,X1)
| ~ p9(X3,X4)
| ~ p4(X4,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_19) ).
cnf(p4_11,negated_conjecture,
( p4(f5(X1),f5(X2))
| ~ p2(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_11) ).
cnf(p9_17,negated_conjecture,
( p9(c12,f5(X1))
| p8(c12,X2,X1)
| ~ p9(c12,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_17) ).
cnf(p9_6,negated_conjecture,
p9(c12,c13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_6) ).
cnf(p2_10,negated_conjecture,
( p2(f3(X1),f3(X2))
| ~ p2(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_10) ).
cnf(not_p8_8,negated_conjecture,
~ p8(c12,c13,c14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p8_8) ).
cnf(p4_14,negated_conjecture,
( p4(X1,X2)
| ~ p4(X3,X1)
| ~ p4(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_14) ).
cnf(p4_9,negated_conjecture,
( p4(f6(X1),f6(X2))
| ~ p2(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_9) ).
cnf(p8_16,negated_conjecture,
( p8(c12,X1,X2)
| ~ p11(X2,c16)
| ~ p9(c12,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_16) ).
cnf(p11_5,negated_conjecture,
p11(c15,c16),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_5) ).
cnf(p7_2,negated_conjecture,
p7(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_2) ).
cnf(p8_22,negated_conjecture,
( p8(c12,X1,f3(X2))
| ~ p9(c12,X1)
| ~ p8(c12,f6(X2),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_22) ).
cnf(p9_18,negated_conjecture,
( p9(c12,f6(X1))
| p8(c12,X2,f3(X1))
| ~ p9(c12,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_18) ).
cnf(p8_23,negated_conjecture,
( p8(X1,X2,X3)
| ~ p2(X4,X3)
| ~ p4(X5,X2)
| ~ p7(X6,X1)
| ~ p8(X6,X5,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_23) ).
cnf(p4_3,negated_conjecture,
p4(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_3) ).
cnf(p8_21,negated_conjecture,
( p8(c12,X1,X2)
| ~ p9(c12,X1)
| ~ p8(c12,f5(X2),f3(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_21) ).
cnf(c_0_19,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
p2_15 ).
cnf(c_0_20,negated_conjecture,
p2(X1,X1),
p2_4 ).
cnf(c_0_21,negated_conjecture,
( p2(X1,X2)
| ~ p2(X2,X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_22,negated_conjecture,
p2(c14,f3(c15)),
p2_7 ).
cnf(c_0_23,negated_conjecture,
p2(f3(c15),c14),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_24,negated_conjecture,
( p9(X1,X2)
| ~ p7(X3,X1)
| ~ p9(X3,X4)
| ~ p4(X4,X2) ),
p9_19 ).
cnf(c_0_25,negated_conjecture,
( p4(f5(X1),f5(X2))
| ~ p2(X1,X2) ),
p4_11 ).
cnf(c_0_26,negated_conjecture,
( p9(c12,f5(X1))
| p8(c12,X2,X1)
| ~ p9(c12,X2) ),
p9_17 ).
cnf(c_0_27,negated_conjecture,
p9(c12,c13),
p9_6 ).
cnf(c_0_28,negated_conjecture,
( p2(X1,c14)
| ~ p2(f3(c15),X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_23]) ).
cnf(c_0_29,negated_conjecture,
( p2(f3(X1),f3(X2))
| ~ p2(X1,X2) ),
p2_10 ).
cnf(c_0_30,negated_conjecture,
( p9(X1,f5(X2))
| ~ p9(X3,f5(X4))
| ~ p2(X4,X2)
| ~ p7(X3,X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_31,negated_conjecture,
( p8(c12,c13,X1)
| p9(c12,f5(X1)) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_32,negated_conjecture,
( p2(f3(X1),c14)
| ~ p2(c15,X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_33,negated_conjecture,
( p8(c12,c13,X1)
| p9(X2,f5(X3))
| ~ p2(X1,X3)
| ~ p7(c12,X2) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_34,negated_conjecture,
( p2(c14,f3(X1))
| ~ p2(c15,X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_32]) ).
cnf(c_0_35,negated_conjecture,
~ p8(c12,c13,c14),
not_p8_8 ).
cnf(c_0_36,negated_conjecture,
( p4(X1,X2)
| ~ p4(X3,X1)
| ~ p4(X3,X2) ),
p4_14 ).
cnf(c_0_37,negated_conjecture,
( p4(f6(X1),f6(X2))
| ~ p2(X1,X2) ),
p4_9 ).
cnf(c_0_38,negated_conjecture,
( p9(X1,f5(f3(X2)))
| ~ p2(c15,X2)
| ~ p7(c12,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]) ).
cnf(c_0_39,negated_conjecture,
( p4(X1,f6(X2))
| ~ p2(X3,X2)
| ~ p4(f6(X3),X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_40,negated_conjecture,
( p9(X1,f5(X2))
| ~ p2(f3(X3),X2)
| ~ p2(c15,X3)
| ~ p7(c12,X4)
| ~ p7(X4,X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_38]) ).
cnf(c_0_41,negated_conjecture,
( p8(c12,X1,X2)
| ~ p11(X2,c16)
| ~ p9(c12,X1) ),
p8_16 ).
cnf(c_0_42,negated_conjecture,
p11(c15,c16),
p11_5 ).
cnf(c_0_43,negated_conjecture,
( p4(f6(X1),f6(X2))
| ~ p2(X3,X2)
| ~ p2(X3,X1) ),
inference(spm,[status(thm)],[c_0_39,c_0_37]) ).
cnf(c_0_44,negated_conjecture,
( p9(X1,f5(c14))
| ~ p7(c12,X2)
| ~ p7(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_23]),c_0_20])]) ).
cnf(c_0_45,negated_conjecture,
p7(X1,X1),
p7_2 ).
cnf(c_0_46,negated_conjecture,
( p8(c12,X1,f3(X2))
| ~ p9(c12,X1)
| ~ p8(c12,f6(X2),X2) ),
p8_22 ).
cnf(c_0_47,negated_conjecture,
( p8(c12,X1,c15)
| ~ p9(c12,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_48,negated_conjecture,
( p9(c12,f6(X1))
| p8(c12,X2,f3(X1))
| ~ p9(c12,X2) ),
p9_18 ).
cnf(c_0_49,negated_conjecture,
( p4(f6(X1),f6(c14))
| ~ p2(f3(X2),X1)
| ~ p2(c15,X2) ),
inference(spm,[status(thm)],[c_0_43,c_0_32]) ).
cnf(c_0_50,negated_conjecture,
( p2(X1,f3(c15))
| ~ p2(c14,X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_22]) ).
cnf(c_0_51,negated_conjecture,
( p9(X1,f5(c14))
| ~ p7(c12,X1) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_52,negated_conjecture,
( p8(X1,X2,X3)
| ~ p2(X4,X3)
| ~ p4(X5,X2)
| ~ p7(X6,X1)
| ~ p8(X6,X5,X4) ),
p8_23 ).
cnf(c_0_53,negated_conjecture,
( p8(c12,X1,f3(c15))
| ~ p9(c12,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48]) ).
cnf(c_0_54,negated_conjecture,
p4(X1,X1),
p4_3 ).
cnf(c_0_55,negated_conjecture,
( p4(f6(f3(c15)),f6(c14))
| ~ p2(c15,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_34]) ).
cnf(c_0_56,negated_conjecture,
( p8(c12,X1,X2)
| ~ p9(c12,X1)
| ~ p8(c12,f5(X2),f3(X2)) ),
p8_21 ).
cnf(c_0_57,negated_conjecture,
( p8(c12,f5(c14),f3(X1))
| p9(c12,f6(X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_51]),c_0_45])]) ).
cnf(c_0_58,negated_conjecture,
( p8(X1,X2,X3)
| ~ p9(c12,X4)
| ~ p2(f3(c15),X3)
| ~ p4(X4,X2)
| ~ p7(c12,X1) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_59,negated_conjecture,
( p4(X1,X2)
| ~ p4(X2,X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_54]) ).
cnf(c_0_60,negated_conjecture,
p4(f6(f3(c15)),f6(c14)),
inference(spm,[status(thm)],[c_0_55,c_0_20]) ).
cnf(c_0_61,negated_conjecture,
( p8(c12,X1,c14)
| p9(c12,f6(c14))
| ~ p9(c12,X1) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_62,negated_conjecture,
( p8(X1,X2,f3(c15))
| ~ p9(c12,X3)
| ~ p4(X3,X2)
| ~ p7(c12,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_50]),c_0_22])]) ).
cnf(c_0_63,negated_conjecture,
p4(f6(c14),f6(f3(c15))),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_64,negated_conjecture,
p9(c12,f6(c14)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_27]),c_0_35]) ).
cnf(c_0_65,negated_conjecture,
( p8(X1,f6(f3(c15)),f3(c15))
| ~ p7(c12,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64])]) ).
cnf(c_0_66,negated_conjecture,
( p8(X1,X2,X3)
| ~ p2(f3(c15),X3)
| ~ p4(f6(f3(c15)),X2)
| ~ p7(c12,X4)
| ~ p7(X4,X1) ),
inference(spm,[status(thm)],[c_0_52,c_0_65]) ).
cnf(c_0_67,negated_conjecture,
( p4(f6(X1),f6(c14))
| ~ p2(f3(c15),X1) ),
inference(spm,[status(thm)],[c_0_43,c_0_23]) ).
cnf(c_0_68,negated_conjecture,
( p8(X1,f6(c14),X2)
| ~ p2(f3(c15),X2)
| ~ p7(c12,X3)
| ~ p7(X3,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_20])]) ).
cnf(c_0_69,negated_conjecture,
( p8(X1,f6(c14),X2)
| ~ p2(f3(c15),X2)
| ~ p7(c12,X1) ),
inference(spm,[status(thm)],[c_0_68,c_0_45]) ).
cnf(c_0_70,negated_conjecture,
( p8(c12,X1,f3(c14))
| ~ p9(c12,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_69]),c_0_23]),c_0_45])]) ).
cnf(c_0_71,negated_conjecture,
( p8(c12,X1,c14)
| ~ p9(c12,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_70]),c_0_26]) ).
cnf(c_0_72,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_71]),c_0_27])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN580-1 : 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
% 0.14/0.35 % Computer : n025.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 21:20:53 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.57 start to proof: theBenchmark
% 0.96/1.03 % Version : CSE_E---1.5
% 0.96/1.03 % Problem : theBenchmark.p
% 0.96/1.03 % Proof found
% 0.96/1.03 % SZS status Theorem for theBenchmark.p
% 0.96/1.03 % SZS output start Proof
% See solution above
% 0.96/1.04 % Total time : 0.447000 s
% 0.96/1.04 % SZS output end Proof
% 0.96/1.04 % Total time : 0.450000 s
%------------------------------------------------------------------------------