TSTP Solution File: SYN591-1 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN591-1 : 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 : n031.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 01:53:22 EDT 2023
% Result : Unsatisfiable 0.76s 0.81s
% Output : CNFRefutation 0.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 28
% Syntax : Number of formulae : 56 ( 14 unt; 17 typ; 0 def)
% Number of atoms : 86 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 91 ( 44 ~; 47 |; 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 ( 11 >; 7 *; 0 +; 0 <<)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 56 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
c14: $i ).
tff(decl_23,type,
p9: $i > $o ).
tff(decl_24,type,
c13: $i ).
tff(decl_25,type,
p8: $i > $o ).
tff(decl_26,type,
p7: ( $i * $i ) > $o ).
tff(decl_27,type,
p2: ( $i * $i ) > $o ).
tff(decl_28,type,
p3: ( $i * $i ) > $o ).
tff(decl_29,type,
p10: ( $i * $i ) > $o ).
tff(decl_30,type,
c15: $i ).
tff(decl_31,type,
c17: $i ).
tff(decl_32,type,
c16: $i ).
tff(decl_33,type,
c18: $i ).
tff(decl_34,type,
f4: ( $i * $i ) > $i ).
tff(decl_35,type,
p12: ( $i * $i ) > $o ).
tff(decl_36,type,
f6: $i > $i ).
tff(decl_37,type,
p11: ( $i * $i ) > $o ).
tff(decl_38,type,
f5: $i > $i ).
cnf(p2_20,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_20) ).
cnf(p2_22,negated_conjecture,
( p2(f6(X1),f5(X1))
| ~ p12(c14,f4(X1,c17)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_22) ).
cnf(p12_11,negated_conjecture,
p12(c14,f4(c18,c17)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_11) ).
cnf(p2_4,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_4) ).
cnf(p11_27,negated_conjecture,
( p11(c13,f4(c17,f5(X1)))
| p11(c13,f4(f5(X1),c17))
| ~ p12(c14,f4(X1,c17)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_27) ).
cnf(p11_25,negated_conjecture,
( p11(X1,X2)
| ~ p3(X3,X2)
| ~ p7(X4,X1)
| ~ p11(X4,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_25) ).
cnf(p2_17,negated_conjecture,
( p2(f5(X1),f5(X2))
| ~ p2(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_17) ).
cnf(p3_26,negated_conjecture,
( p3(f4(X1,X2),f4(X3,X4))
| ~ p2(X1,X3)
| ~ p2(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_26) ).
cnf(p7_3,negated_conjecture,
p7(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_3) ).
cnf(not_p11_13,negated_conjecture,
~ p11(c13,f4(f6(c18),c17)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p11_13) ).
cnf(not_p11_12,negated_conjecture,
~ p11(c13,f4(c17,f6(c18))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p11_12) ).
cnf(c_0_11,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
p2_20 ).
cnf(c_0_12,negated_conjecture,
( p2(f6(X1),f5(X1))
| ~ p12(c14,f4(X1,c17)) ),
p2_22 ).
cnf(c_0_13,negated_conjecture,
( p2(X1,f5(X2))
| ~ p12(c14,f4(X2,c17))
| ~ p2(f6(X2),X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_14,negated_conjecture,
p12(c14,f4(c18,c17)),
p12_11 ).
cnf(c_0_15,negated_conjecture,
p2(X1,X1),
p2_4 ).
cnf(c_0_16,negated_conjecture,
( p2(X1,f5(c18))
| ~ p2(f6(c18),X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,negated_conjecture,
( p11(c13,f4(c17,f5(X1)))
| p11(c13,f4(f5(X1),c17))
| ~ p12(c14,f4(X1,c17)) ),
p11_27 ).
cnf(c_0_18,negated_conjecture,
( p2(X1,X2)
| ~ p2(X2,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_15]) ).
cnf(c_0_19,negated_conjecture,
p2(f6(c18),f5(c18)),
inference(spm,[status(thm)],[c_0_16,c_0_15]) ).
cnf(c_0_20,negated_conjecture,
( p11(X1,X2)
| ~ p3(X3,X2)
| ~ p7(X4,X1)
| ~ p11(X4,X3) ),
p11_25 ).
cnf(c_0_21,negated_conjecture,
( p11(c13,f4(c17,f5(c18)))
| p11(c13,f4(f5(c18),c17)) ),
inference(spm,[status(thm)],[c_0_17,c_0_14]) ).
cnf(c_0_22,negated_conjecture,
p2(f5(c18),f6(c18)),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_23,negated_conjecture,
( p2(f5(X1),f5(X2))
| ~ p2(X1,X2) ),
p2_17 ).
cnf(c_0_24,negated_conjecture,
( p11(c13,f4(c17,f5(c18)))
| p11(X1,X2)
| ~ p3(f4(f5(c18),c17),X2)
| ~ p7(c13,X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_25,negated_conjecture,
( p3(f4(X1,X2),f4(X3,X4))
| ~ p2(X1,X3)
| ~ p2(X2,X4) ),
p3_26 ).
cnf(c_0_26,negated_conjecture,
( p2(X1,f6(c18))
| ~ p2(f5(c18),X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_22]) ).
cnf(c_0_27,negated_conjecture,
( p2(f5(X1),f5(X2))
| ~ p2(X2,X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_23]) ).
cnf(c_0_28,negated_conjecture,
( p11(c13,f4(c17,f5(c18)))
| p11(X1,f4(X2,X3))
| ~ p2(f5(c18),X2)
| ~ p2(c17,X3)
| ~ p7(c13,X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_29,negated_conjecture,
( p2(f5(X1),f6(c18))
| ~ p2(X1,c18) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_30,negated_conjecture,
( p11(c13,f4(c17,f5(c18)))
| p11(X1,f4(f6(c18),X2))
| ~ p2(c17,X2)
| ~ p7(c13,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_15])]) ).
cnf(c_0_31,negated_conjecture,
( p11(c13,f4(c17,f5(c18)))
| p11(X1,f4(f6(c18),c17))
| ~ p7(c13,X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_15]) ).
cnf(c_0_32,negated_conjecture,
p7(X1,X1),
p7_3 ).
cnf(c_0_33,negated_conjecture,
~ p11(c13,f4(f6(c18),c17)),
not_p11_13 ).
cnf(c_0_34,negated_conjecture,
p11(c13,f4(c17,f5(c18))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]) ).
cnf(c_0_35,negated_conjecture,
( p11(X1,X2)
| ~ p3(f4(c17,f5(c18)),X2)
| ~ p7(c13,X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_34]) ).
cnf(c_0_36,negated_conjecture,
~ p11(c13,f4(c17,f6(c18))),
not_p11_12 ).
cnf(c_0_37,negated_conjecture,
( p11(X1,f4(X2,X3))
| ~ p2(f5(c18),X3)
| ~ p2(c17,X2)
| ~ p7(c13,X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_25]) ).
cnf(c_0_38,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_22]),c_0_15]),c_0_32])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN591-1 : 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
% 0.12/0.34 % Computer : n031.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % 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 20:27:23 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.20/0.56 start to proof: theBenchmark
% 0.76/0.81 % Version : CSE_E---1.5
% 0.76/0.81 % Problem : theBenchmark.p
% 0.76/0.81 % Proof found
% 0.76/0.81 % SZS status Theorem for theBenchmark.p
% 0.76/0.81 % SZS output start Proof
% See solution above
% 0.76/0.82 % Total time : 0.245000 s
% 0.76/0.82 % SZS output end Proof
% 0.76/0.82 % Total time : 0.248000 s
%------------------------------------------------------------------------------