TSTP Solution File: SYN353-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN353-1 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n015.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 01:51:21 EDT 2023
% Result : Unsatisfiable 0.20s 0.57s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 16
% Syntax : Number of formulae : 56 ( 7 unt; 3 typ; 0 def)
% Number of atoms : 131 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 131 ( 53 ~; 78 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 2 >; 4 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-3 aty)
% Number of variables : 120 ( 8 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
f: ( $i * $i * $i ) > $o ).
tff(decl_23,type,
a: $i ).
tff(decl_24,type,
z: ( $i * $i * $i ) > $i ).
cnf(clause1,negated_conjecture,
( f(X2,X3,X1)
| f(X3,X1,X2)
| ~ f(X1,X2,X3)
| ~ f(a,a,z(X1,X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
cnf(clause4,negated_conjecture,
( f(X1,X2,X3)
| f(X3,X2,z(X2,X3,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).
cnf(clause10,negated_conjecture,
( f(X1,X2,X3)
| f(X2,X3,X1)
| ~ f(z(X2,X3,X1),X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause10) ).
cnf(clause6,negated_conjecture,
( f(X3,X1,X2)
| ~ f(X1,X2,X3)
| ~ f(X3,z(X3,X1,X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).
cnf(clause8,negated_conjecture,
( f(X1,X2,X3)
| f(X3,z(X3,X1,X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
cnf(clause11,negated_conjecture,
( f(X1,X2,X3)
| f(X3,X1,X2)
| ~ f(z(X3,X1,X2),X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause11) ).
cnf(clause2,negated_conjecture,
( f(X2,X3,X1)
| ~ f(X1,X2,X3)
| ~ f(X3,X2,z(X2,X3,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).
cnf(clause12,negated_conjecture,
( f(z(X2,X3,X1),X3,X2)
| ~ f(X1,X2,X3)
| ~ f(X3,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause12) ).
cnf(clause13,negated_conjecture,
( f(z(X1,X2,X3),X2,X1)
| ~ f(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause13) ).
cnf(clause3,negated_conjecture,
( f(X3,X1,X2)
| ~ f(X1,X2,X3)
| ~ f(X3,X2,z(X2,X3,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).
cnf(clause7,negated_conjecture,
( f(X2,X3,X1)
| ~ f(X1,X2,X3)
| ~ f(X3,z(X3,X1,X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).
cnf(clause9,negated_conjecture,
( f(X1,z(X1,X2,X3),X2)
| ~ f(X1,X2,X3)
| ~ f(X3,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause9) ).
cnf(clause17,negated_conjecture,
( ~ f(X1,X2,X3)
| ~ f(X2,X3,X1)
| ~ f(X3,X1,X2)
| ~ f(z(X1,X2,X3),z(X1,X2,X3),z(X1,X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause17) ).
cnf(c_0_13,negated_conjecture,
( f(X2,X3,X1)
| f(X3,X1,X2)
| ~ f(X1,X2,X3)
| ~ f(a,a,z(X1,X2,X3)) ),
clause1 ).
cnf(c_0_14,negated_conjecture,
( f(X1,X2,X3)
| f(X3,X2,z(X2,X3,X1)) ),
clause4 ).
cnf(c_0_15,negated_conjecture,
( f(a,X1,a)
| f(X1,a,a)
| ~ f(a,a,X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_16,negated_conjecture,
( f(X1,X2,X3)
| f(X2,X3,X1)
| ~ f(z(X2,X3,X1),X3,X2) ),
clause10 ).
cnf(c_0_17,negated_conjecture,
( f(z(a,a,X1),a,a)
| f(a,z(a,a,X1),a)
| f(X1,a,a) ),
inference(spm,[status(thm)],[c_0_15,c_0_14]) ).
cnf(c_0_18,negated_conjecture,
( f(X3,X1,X2)
| ~ f(X1,X2,X3)
| ~ f(X3,z(X3,X1,X2),X1) ),
clause6 ).
cnf(c_0_19,negated_conjecture,
( f(a,z(a,a,X1),a)
| f(X1,a,a)
| f(a,a,X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,negated_conjecture,
( f(X1,a,a)
| f(a,a,X1)
| ~ f(a,X1,a) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_21,negated_conjecture,
( f(X1,X2,X3)
| f(X3,z(X3,X1,X2),X1) ),
clause8 ).
cnf(c_0_22,negated_conjecture,
( f(X1,X2,X3)
| f(X3,X1,X2)
| ~ f(z(X3,X1,X2),X1,X3) ),
clause11 ).
cnf(c_0_23,negated_conjecture,
( f(a,a,z(a,a,X1))
| f(z(a,a,X1),a,a)
| f(a,X1,a) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_24,negated_conjecture,
( f(X2,X3,X1)
| ~ f(X1,X2,X3)
| ~ f(X3,X2,z(X2,X3,X1)) ),
clause2 ).
cnf(c_0_25,negated_conjecture,
( f(a,a,z(a,a,X1))
| f(a,X1,a)
| f(a,a,X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_26,negated_conjecture,
( f(a,X1,a)
| f(a,a,X1)
| ~ f(X1,a,a) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_27,negated_conjecture,
( f(z(X2,X3,X1),X3,X2)
| ~ f(X1,X2,X3)
| ~ f(X3,X1,X2) ),
clause12 ).
cnf(c_0_28,negated_conjecture,
( f(a,a,z(a,a,X1))
| f(a,z(a,a,X1),a) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_14]),c_0_21]) ).
cnf(c_0_29,negated_conjecture,
( f(a,a,z(a,a,X1))
| f(a,a,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_28]),c_0_25]) ).
cnf(c_0_30,negated_conjecture,
( f(a,a,X1)
| ~ f(X1,a,a) ),
inference(spm,[status(thm)],[c_0_24,c_0_29]) ).
cnf(c_0_31,negated_conjecture,
( f(z(X1,X2,X3),X2,X1)
| ~ f(X1,X2,X3) ),
clause13 ).
cnf(c_0_32,negated_conjecture,
( f(X3,X1,X2)
| ~ f(X1,X2,X3)
| ~ f(X3,X2,z(X2,X3,X1)) ),
clause3 ).
cnf(c_0_33,negated_conjecture,
f(a,a,z(a,a,X1)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_29]) ).
cnf(c_0_34,negated_conjecture,
( f(a,X1,a)
| ~ f(X1,a,a) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_35,negated_conjecture,
( f(X2,X3,X1)
| ~ f(X1,X2,X3)
| ~ f(X3,z(X3,X1,X2),X1) ),
clause7 ).
cnf(c_0_36,negated_conjecture,
( f(a,z(a,a,X1),a)
| ~ f(a,a,X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_31]) ).
cnf(c_0_37,negated_conjecture,
( f(X1,a,a)
| ~ f(a,X1,a) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_20]) ).
cnf(c_0_38,negated_conjecture,
( f(z(a,a,X1),a,a)
| f(a,X1,a) ),
inference(spm,[status(thm)],[c_0_37,c_0_21]) ).
cnf(c_0_39,negated_conjecture,
f(a,z(a,a,X1),a),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_33]),c_0_34]) ).
cnf(c_0_40,negated_conjecture,
( f(a,X1,a)
| f(a,a,X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_38]) ).
cnf(c_0_41,negated_conjecture,
f(a,a,X1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_39]),c_0_40]) ).
cnf(c_0_42,negated_conjecture,
( f(X1,X2,X3)
| f(X2,X3,X1)
| ~ f(X3,X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_41])]) ).
cnf(c_0_43,negated_conjecture,
( f(X1,z(X1,X2,X3),X2)
| f(X2,X1,z(X1,X2,X3)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_27]),c_0_14]),c_0_21]) ).
cnf(c_0_44,negated_conjecture,
( f(X1,z(X1,X2,X3),X2)
| ~ f(X1,X2,X3)
| ~ f(X3,X1,X2) ),
clause9 ).
cnf(c_0_45,negated_conjecture,
( f(X1,z(X1,X2,X3),X2)
| ~ f(X3,X1,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_43]),c_0_44]) ).
cnf(c_0_46,negated_conjecture,
( f(X1,X2,X3)
| ~ f(X2,X3,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_45]),c_0_42]) ).
cnf(c_0_47,negated_conjecture,
f(X1,X2,z(X2,X1,X3)),
inference(spm,[status(thm)],[c_0_46,c_0_43]) ).
cnf(c_0_48,negated_conjecture,
f(z(X1,X2,X3),X2,X1),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_49,negated_conjecture,
( f(X1,X2,X3)
| ~ f(X3,X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_47])]) ).
cnf(c_0_50,negated_conjecture,
( ~ f(X1,X2,X3)
| ~ f(X2,X3,X1)
| ~ f(X3,X1,X2)
| ~ f(z(X1,X2,X3),z(X1,X2,X3),z(X1,X2,X3)) ),
clause17 ).
cnf(c_0_51,negated_conjecture,
f(X1,X2,X3),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_48])]),c_0_49]) ).
cnf(c_0_52,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_51]),c_0_51]),c_0_51]),c_0_51])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN353-1 : TPTP v8.1.2. Released v1.2.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.34 % Computer : n015.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sat Aug 26 20:34:23 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.56 start to proof: theBenchmark
% 0.20/0.57 % Version : CSE_E---1.5
% 0.20/0.57 % Problem : theBenchmark.p
% 0.20/0.57 % Proof found
% 0.20/0.57 % SZS status Theorem for theBenchmark.p
% 0.20/0.57 % SZS output start Proof
% See solution above
% 0.20/0.58 % Total time : 0.009000 s
% 0.20/0.58 % SZS output end Proof
% 0.20/0.58 % Total time : 0.011000 s
%------------------------------------------------------------------------------