TSTP Solution File: SYN313-1.001.002 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN313-1.001.002 : 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 : n017.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 01:51:02 EDT 2023
% Result : Unsatisfiable 0.17s 0.59s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 11
% Syntax : Number of formulae : 44 ( 3 unt; 9 typ; 0 def)
% Number of atoms : 126 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 110 ( 19 ~; 91 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 22 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 8 >; 2 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 1 con; 0-1 aty)
% Number of variables : 49 ( 17 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
f0: $i > $i ).
tff(decl_23,type,
p: ( $i * $i * $i ) > $o ).
tff(decl_24,type,
f1: $i > $i ).
tff(decl_25,type,
h0: $i ).
tff(decl_26,type,
j0: $i > $i ).
tff(decl_27,type,
h1: $i > $i ).
tff(decl_28,type,
j1: $i > $i ).
tff(decl_29,type,
h2: $i > $i ).
tff(decl_30,type,
j2: $i > $i ).
cnf(clause1,negated_conjecture,
( ~ p(X1,f0(X1),X2)
| ~ p(X1,f1(X2),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
cnf(clause2,negated_conjecture,
( p(h0,X1,j0(X2))
| p(h1(X1),X3,j1(X2))
| p(h2(X3),X2,j2(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).
cnf(c_0_2,negated_conjecture,
( ~ p(X1,f0(X1),X2)
| ~ p(X1,f1(X2),X3) ),
clause1 ).
cnf(c_0_3,negated_conjecture,
( p(h0,X1,j0(X2))
| p(h1(X1),X3,j1(X2))
| p(h2(X3),X2,j2(X2)) ),
clause2 ).
cnf(c_0_4,negated_conjecture,
( p(h2(f0(h1(X1))),X2,j2(X2))
| p(h0,X1,j0(X2))
| ~ p(h1(X1),f1(j1(X2)),X3) ),
inference(spm,[status(thm)],[c_0_2,c_0_3]) ).
cnf(c_0_5,negated_conjecture,
( p(h2(f1(j1(X1))),X2,j2(X2))
| p(h2(f0(h1(X3))),X1,j2(X1))
| p(h0,X3,j0(X2))
| p(h0,X3,j0(X1)) ),
inference(spm,[status(thm)],[c_0_4,c_0_3]) ).
cnf(c_0_6,negated_conjecture,
( p(h0,X1,j0(f0(h2(f1(j1(X2))))))
| p(h2(f0(h1(X1))),X2,j2(X2))
| p(h0,X1,j0(X2))
| ~ p(h2(f1(j1(X2))),f1(j2(f0(h2(f1(j1(X2)))))),X3) ),
inference(spm,[status(thm)],[c_0_2,c_0_5]) ).
cnf(c_0_7,negated_conjecture,
( p(h0,X1,j0(f1(j2(f0(h2(f1(j1(X2))))))))
| p(h0,X3,j0(f0(h2(f1(j1(X2))))))
| p(h2(f0(h1(X1))),X2,j2(X2))
| p(h2(f0(h1(X3))),X2,j2(X2))
| p(h0,X1,j0(X2))
| p(h0,X3,j0(X2)) ),
inference(spm,[status(thm)],[c_0_6,c_0_5]) ).
cnf(c_0_8,negated_conjecture,
( p(h0,X1,j0(f1(j2(f0(h2(f1(j1(X2))))))))
| p(h0,X1,j0(f0(h2(f1(j1(X2))))))
| p(h2(f0(h1(X1))),X2,j2(X2))
| p(h0,X1,j0(X2)) ),
inference(ef,[status(thm)],[c_0_7]) ).
cnf(c_0_9,negated_conjecture,
( p(h0,X1,j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(X1))))))))))))
| p(h0,X1,j0(f0(h2(f1(j1(f0(h2(f0(h1(X1))))))))))
| p(h0,X1,j0(f0(h2(f0(h1(X1))))))
| ~ p(h2(f0(h1(X1))),f1(j2(f0(h2(f0(h1(X1)))))),X2) ),
inference(spm,[status(thm)],[c_0_2,c_0_8]) ).
cnf(c_0_10,negated_conjecture,
( p(h0,X1,j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(X1))))))))))))))
| p(h0,X1,j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(X1))))))))))))
| p(h0,X1,j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(X1))))))))))))
| p(h0,X1,j0(f0(h2(f1(j1(f0(h2(f0(h1(X1))))))))))
| p(h0,X1,j0(f1(j2(f0(h2(f0(h1(X1))))))))
| p(h0,X1,j0(f0(h2(f0(h1(X1)))))) ),
inference(spm,[status(thm)],[c_0_9,c_0_8]) ).
cnf(c_0_11,negated_conjecture,
( p(h0,f0(h0),j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))
| p(h0,f0(h0),j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))
| p(h0,f0(h0),j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))
| p(h0,f0(h0),j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))
| p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0)))))))
| ~ p(h0,f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))),X1) ),
inference(spm,[status(thm)],[c_0_2,c_0_10]) ).
cnf(c_0_12,negated_conjecture,
( p(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))),X1,j2(X1))
| p(h0,f0(h0),j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))
| p(h0,f0(h0),j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))
| p(h0,f0(h0),j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))
| p(h0,f0(h0),j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))
| p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0))))))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_8]),c_0_11]),c_0_11]) ).
cnf(c_0_13,negated_conjecture,
( p(h0,f0(h0),j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))
| p(h0,f0(h0),j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))
| p(h0,f0(h0),j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))
| p(h0,f0(h0),j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))
| p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0)))))))
| ~ p(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))))),f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))))),X1) ),
inference(spm,[status(thm)],[c_0_2,c_0_12]) ).
cnf(c_0_14,negated_conjecture,
( p(h0,f0(h0),j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))
| p(h0,f0(h0),j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))
| p(h0,f0(h0),j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))
| p(h0,f0(h0),j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))
| p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0))))))) ),
inference(spm,[status(thm)],[c_0_13,c_0_12]) ).
cnf(c_0_15,negated_conjecture,
( p(h0,f0(h0),j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))
| p(h0,f0(h0),j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))
| p(h0,f0(h0),j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))
| p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0)))))))
| ~ p(h0,f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))),X1) ),
inference(spm,[status(thm)],[c_0_2,c_0_14]) ).
cnf(c_0_16,negated_conjecture,
( p(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))),X1,j2(X1))
| p(h0,f0(h0),j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))
| p(h0,f0(h0),j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))
| p(h0,f0(h0),j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))
| p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0))))))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_8]),c_0_15]),c_0_15]) ).
cnf(c_0_17,negated_conjecture,
( p(h0,f0(h0),j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))
| p(h0,f0(h0),j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))
| p(h0,f0(h0),j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))
| p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0)))))))
| ~ p(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))))),f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))))),X1) ),
inference(spm,[status(thm)],[c_0_2,c_0_16]) ).
cnf(c_0_18,negated_conjecture,
( p(h0,f0(h0),j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))
| p(h0,f0(h0),j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))
| p(h0,f0(h0),j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))
| p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0))))))) ),
inference(spm,[status(thm)],[c_0_17,c_0_16]) ).
cnf(c_0_19,negated_conjecture,
( p(h0,f0(h0),j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))
| p(h0,f0(h0),j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))
| p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0)))))))
| ~ p(h0,f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))),X1) ),
inference(spm,[status(thm)],[c_0_2,c_0_18]) ).
cnf(c_0_20,negated_conjecture,
( p(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))),X1,j2(X1))
| p(h0,f0(h0),j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))
| p(h0,f0(h0),j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))
| p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0))))))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_8]),c_0_19]),c_0_19]) ).
cnf(c_0_21,negated_conjecture,
( p(h0,f0(h0),j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))
| p(h0,f0(h0),j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))
| p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0)))))))
| ~ p(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))))))),f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))))))),X1) ),
inference(spm,[status(thm)],[c_0_2,c_0_20]) ).
cnf(c_0_22,negated_conjecture,
( p(h0,f0(h0),j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))
| p(h0,f0(h0),j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))
| p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0))))))) ),
inference(spm,[status(thm)],[c_0_21,c_0_20]) ).
cnf(c_0_23,negated_conjecture,
( p(h0,f0(h0),j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))
| p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0)))))))
| ~ p(h0,f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))),X1) ),
inference(spm,[status(thm)],[c_0_2,c_0_22]) ).
cnf(c_0_24,negated_conjecture,
( p(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))),X1,j2(X1))
| p(h0,f0(h0),j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))
| p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0)))))))
| p(h2(f1(j1(X1))),X2,j2(X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_5]),c_0_23]) ).
cnf(c_0_25,negated_conjecture,
( p(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))),X1,j2(X1))
| p(h0,f0(h0),j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))
| p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0)))))))
| ~ p(h2(f1(j1(X1))),f1(j2(f0(h2(f1(j1(X1)))))),X2) ),
inference(spm,[status(thm)],[c_0_2,c_0_24]) ).
cnf(c_0_26,negated_conjecture,
( p(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))),X1,j2(X1))
| p(h0,f0(h0),j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))
| p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0))))))) ),
inference(spm,[status(thm)],[c_0_25,c_0_24]) ).
cnf(c_0_27,negated_conjecture,
( p(h0,f0(h0),j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))
| p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0)))))))
| ~ p(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0)))))))))))))),f1(j2(f0(h2(f0(h1(f1(j0(f0(h2(f1(j1(f0(h2(f0(h1(f0(h0))))))))))))))))),X1) ),
inference(spm,[status(thm)],[c_0_2,c_0_26]) ).
cnf(c_0_28,negated_conjecture,
( p(h0,f0(h0),j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))
| p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0))))))) ),
inference(spm,[status(thm)],[c_0_27,c_0_26]) ).
cnf(c_0_29,negated_conjecture,
( p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0)))))))
| ~ p(h0,f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))),X1) ),
inference(spm,[status(thm)],[c_0_2,c_0_28]) ).
cnf(c_0_30,negated_conjecture,
( p(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))),X1,j2(X1))
| p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0))))))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_8]),c_0_29]),c_0_29]) ).
cnf(c_0_31,negated_conjecture,
( p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0)))))))
| ~ p(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))))),f1(j2(f0(h2(f0(h1(f1(j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))))))))),X1) ),
inference(spm,[status(thm)],[c_0_2,c_0_30]) ).
cnf(c_0_32,negated_conjecture,
p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0))))))),
inference(spm,[status(thm)],[c_0_31,c_0_30]) ).
cnf(c_0_33,negated_conjecture,
~ p(h0,f1(j0(f0(h2(f0(h1(f0(h0))))))),X1),
inference(spm,[status(thm)],[c_0_2,c_0_32]) ).
cnf(c_0_34,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_10]),c_0_33]),c_0_33]),c_0_33]),c_0_33]),c_0_33]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SYN313-1.001.002 : TPTP v8.1.2. Released v1.2.0.
% 0.07/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.32 % Computer : n017.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.32 % CPULimit : 300
% 0.17/0.32 % WCLimit : 300
% 0.17/0.32 % DateTime : Sat Aug 26 20:31:41 EDT 2023
% 0.17/0.32 % CPUTime :
% 0.17/0.54 start to proof: theBenchmark
% 0.17/0.59 % Version : CSE_E---1.5
% 0.17/0.59 % Problem : theBenchmark.p
% 0.17/0.59 % Proof found
% 0.17/0.59 % SZS status Theorem for theBenchmark.p
% 0.17/0.59 % SZS output start Proof
% See solution above
% 0.17/0.59 % Total time : 0.039000 s
% 0.17/0.59 % SZS output end Proof
% 0.17/0.59 % Total time : 0.042000 s
%------------------------------------------------------------------------------