TSTP Solution File: SYN569-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN569-1 : 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 01:53:16 EDT 2023
% Result : Unsatisfiable 1.02s 1.07s
% Output : CNFRefutation 1.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 25
% Syntax : Number of formulae : 48 ( 13 unt; 14 typ; 0 def)
% Number of atoms : 73 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 83 ( 44 ~; 39 |; 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 : 18 ( 9 >; 9 *; 0 +; 0 <<)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 44 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
p2: ( $i * $i ) > $o ).
tff(decl_23,type,
p6: ( $i * $i ) > $o ).
tff(decl_24,type,
c14: $i ).
tff(decl_25,type,
c12: $i ).
tff(decl_26,type,
p8: ( $i * $i ) > $o ).
tff(decl_27,type,
c11: $i ).
tff(decl_28,type,
c13: $i ).
tff(decl_29,type,
c15: $i ).
tff(decl_30,type,
p9: ( $i * $i * $i ) > $o ).
tff(decl_31,type,
p10: ( $i * $i ) > $o ).
tff(decl_32,type,
f3: $i > $i ).
tff(decl_33,type,
f7: ( $i * $i ) > $i ).
tff(decl_34,type,
f5: ( $i * $i ) > $i ).
tff(decl_35,type,
f4: ( $i * $i ) > $i ).
cnf(p2_10,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_10) ).
cnf(p2_1,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_1) ).
cnf(p2_11,negated_conjecture,
( p2(X1,X2)
| ~ p9(X3,X1,X4)
| ~ p9(X3,X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_11) ).
cnf(p9_6,negated_conjecture,
p9(c13,c15,c14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_6) ).
cnf(p2_16,negated_conjecture,
( p2(f4(X1,X2),f4(X3,X4))
| ~ p2(X1,X3)
| ~ p2(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_16) ).
cnf(p2_15,negated_conjecture,
p2(f5(f7(c13,c12),f7(c13,c11)),f4(f5(c12,c11),c15)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_15) ).
cnf(p9_12,negated_conjecture,
( p9(c13,f3(X1),X1)
| ~ p10(X1,c12)
| ~ p10(c11,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_12) ).
cnf(not_p8_20,negated_conjecture,
( ~ p8(X1,c12)
| ~ p8(c11,X1)
| ~ p2(f5(f7(c13,c12),f7(c13,c11)),f4(f5(c12,c11),f3(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p8_20) ).
cnf(p8_3,negated_conjecture,
p8(c14,c12),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_3) ).
cnf(p8_5,negated_conjecture,
p8(c11,c14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_5) ).
cnf(p10_7,negated_conjecture,
( p10(X1,X2)
| ~ p8(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_7) ).
cnf(c_0_11,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
p2_10 ).
cnf(c_0_12,negated_conjecture,
p2(X1,X1),
p2_1 ).
cnf(c_0_13,negated_conjecture,
( p2(X1,X2)
| ~ p9(X3,X1,X4)
| ~ p9(X3,X2,X4) ),
p2_11 ).
cnf(c_0_14,negated_conjecture,
p9(c13,c15,c14),
p9_6 ).
cnf(c_0_15,negated_conjecture,
( p2(f4(X1,X2),f4(X3,X4))
| ~ p2(X1,X3)
| ~ p2(X2,X4) ),
p2_16 ).
cnf(c_0_16,negated_conjecture,
( p2(X1,X2)
| ~ p2(X2,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_17,negated_conjecture,
p2(f5(f7(c13,c12),f7(c13,c11)),f4(f5(c12,c11),c15)),
p2_15 ).
cnf(c_0_18,negated_conjecture,
( p2(X1,c15)
| ~ p9(c13,X1,c14) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_19,negated_conjecture,
( p9(c13,f3(X1),X1)
| ~ p10(X1,c12)
| ~ p10(c11,X1) ),
p9_12 ).
cnf(c_0_20,negated_conjecture,
( p2(X1,f4(X2,X3))
| ~ p2(f4(X4,X5),X1)
| ~ p2(X5,X3)
| ~ p2(X4,X2) ),
inference(spm,[status(thm)],[c_0_11,c_0_15]) ).
cnf(c_0_21,negated_conjecture,
p2(f4(f5(c12,c11),c15),f5(f7(c13,c12),f7(c13,c11))),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_22,negated_conjecture,
( p2(f3(c14),c15)
| ~ p10(c14,c12)
| ~ p10(c11,c14) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_23,negated_conjecture,
( ~ p8(X1,c12)
| ~ p8(c11,X1)
| ~ p2(f5(f7(c13,c12),f7(c13,c11)),f4(f5(c12,c11),f3(X1))) ),
not_p8_20 ).
cnf(c_0_24,negated_conjecture,
( p2(f5(f7(c13,c12),f7(c13,c11)),f4(X1,X2))
| ~ p2(f5(c12,c11),X1)
| ~ p2(c15,X2) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_25,negated_conjecture,
( p2(c15,f3(c14))
| ~ p10(c14,c12)
| ~ p10(c11,c14) ),
inference(spm,[status(thm)],[c_0_16,c_0_22]) ).
cnf(c_0_26,negated_conjecture,
( ~ p8(X1,c12)
| ~ p8(c11,X1)
| ~ p2(c15,f3(X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_12])]) ).
cnf(c_0_27,negated_conjecture,
( p2(X1,f3(c14))
| ~ p10(c14,c12)
| ~ p10(c11,c14)
| ~ p2(c15,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_25]) ).
cnf(c_0_28,negated_conjecture,
p8(c14,c12),
p8_3 ).
cnf(c_0_29,negated_conjecture,
p8(c11,c14),
p8_5 ).
cnf(c_0_30,negated_conjecture,
( ~ p10(c14,c12)
| ~ p10(c11,c14) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]),c_0_29]),c_0_12])]) ).
cnf(c_0_31,negated_conjecture,
( p10(X1,X2)
| ~ p8(X1,X2) ),
p10_7 ).
cnf(c_0_32,negated_conjecture,
~ p10(c11,c14),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_28])]) ).
cnf(c_0_33,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_31]),c_0_29])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN569-1 : 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 : n025.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 19:19:23 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.20/0.55 start to proof: theBenchmark
% 1.02/1.07 % Version : CSE_E---1.5
% 1.02/1.07 % Problem : theBenchmark.p
% 1.02/1.07 % Proof found
% 1.02/1.07 % SZS status Theorem for theBenchmark.p
% 1.02/1.07 % SZS output start Proof
% See solution above
% 1.02/1.08 % Total time : 0.518000 s
% 1.02/1.08 % SZS output end Proof
% 1.02/1.08 % Total time : 0.521000 s
%------------------------------------------------------------------------------