TSTP Solution File: SYN039-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN039-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n021.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 01:49:13 EDT 2023
% Result : Unsatisfiable 1.44s 1.61s
% Output : CNFRefutation 1.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 12
% Syntax : Number of formulae : 42 ( 5 unt; 4 typ; 0 def)
% Number of atoms : 103 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 109 ( 44 ~; 65 |; 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 : 8 ( 4 >; 4 *; 0 +; 0 <<)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 155 ( 70 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
f1: ( $i * $i ) > $i ).
tff(decl_23,type,
p: ( $i * $i ) > $o ).
tff(decl_24,type,
s: ( $i * $i ) > $o ).
tff(decl_25,type,
q: ( $i * $i ) > $o ).
cnf(c_25,negated_conjecture,
( s(X1,X2)
| ~ q(X3,X3)
| ~ q(X4,f1(X2,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_25) ).
cnf(c_5,negated_conjecture,
( p(f1(X1,X2),f1(X1,X2))
| s(f1(X1,X2),X3)
| q(f1(X1,X2),X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_5) ).
cnf(c_14,negated_conjecture,
( s(f1(X1,X2),X3)
| q(f1(X1,X2),X4)
| ~ p(X1,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_14) ).
cnf(c_9,negated_conjecture,
( p(f1(X1,X2),f1(X1,X2))
| ~ q(X3,X3)
| ~ s(X2,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_9) ).
cnf(c_18,negated_conjecture,
( ~ p(X1,X1)
| ~ q(X2,X2)
| ~ s(X3,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_18) ).
cnf(c_12,negated_conjecture,
( ~ p(X1,X1)
| ~ s(X1,f1(X1,X2))
| ~ s(X2,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_12) ).
cnf(c_21,negated_conjecture,
( s(X1,X2)
| ~ s(X2,f1(X2,X3))
| ~ s(X3,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_21) ).
cnf(c_3,negated_conjecture,
( p(f1(X1,X2),f1(X1,X2))
| ~ s(X1,f1(X1,X2))
| ~ s(X2,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_3) ).
cnf(c_0_8,negated_conjecture,
( s(X1,X2)
| ~ q(X3,X3)
| ~ q(X4,f1(X2,X4)) ),
c_25 ).
cnf(c_0_9,negated_conjecture,
( p(f1(X1,X2),f1(X1,X2))
| s(f1(X1,X2),X3)
| q(f1(X1,X2),X4) ),
c_5 ).
cnf(c_0_10,negated_conjecture,
( s(f1(X1,X2),X3)
| q(f1(X1,X2),X4)
| ~ p(X1,X1) ),
c_14 ).
cnf(c_0_11,negated_conjecture,
( s(f1(X1,X2),X3)
| p(f1(X1,X2),f1(X1,X2))
| ~ q(X4,X4) ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9])]) ).
cnf(c_0_12,negated_conjecture,
( q(f1(f1(X1,X2),X3),X4)
| q(f1(X1,X2),X5)
| s(f1(f1(X1,X2),X3),X6)
| s(f1(X1,X2),X7) ),
inference(spm,[status(thm)],[c_0_10,c_0_9]) ).
cnf(c_0_13,negated_conjecture,
( p(f1(X1,X2),f1(X1,X2))
| ~ q(X3,X3)
| ~ s(X2,X2) ),
c_9 ).
cnf(c_0_14,negated_conjecture,
( ~ p(X1,X1)
| ~ q(X2,X2)
| ~ s(X3,X3) ),
c_18 ).
cnf(c_0_15,negated_conjecture,
( q(f1(f1(X1,X2),X3),X4)
| s(f1(f1(X1,X2),X3),X5)
| s(f1(X1,X2),X6)
| s(f1(X7,X8),X9)
| p(f1(X7,X8),f1(X7,X8)) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,negated_conjecture,
( ~ q(X1,X1)
| ~ s(X2,X2) ),
inference(csr,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,negated_conjecture,
( q(f1(f1(X1,X2),X3),X4)
| s(f1(f1(X1,X2),X3),X5)
| s(f1(X1,X2),X6) ),
inference(csr,[status(thm)],[inference(ef,[status(thm)],[c_0_15]),c_0_10]) ).
cnf(c_0_18,negated_conjecture,
( s(f1(f1(X1,X2),X3),X4)
| s(f1(X1,X2),X5)
| ~ s(X6,X6) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_19,negated_conjecture,
( q(f1(f1(X1,X2),X3),X4)
| s(f1(f1(X5,X6),X7),X8)
| s(f1(X1,X2),X9)
| s(f1(X5,X6),X10) ),
inference(spm,[status(thm)],[c_0_18,c_0_17]) ).
cnf(c_0_20,negated_conjecture,
( s(f1(f1(X1,X2),X3),X4)
| s(f1(X1,X2),X5)
| ~ q(X6,X6) ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_17])]) ).
cnf(c_0_21,negated_conjecture,
( q(f1(f1(X1,X2),X3),X4)
| s(f1(f1(X1,X2),X5),X6)
| s(f1(X1,X2),X7) ),
inference(ef,[status(thm)],[c_0_19]) ).
cnf(c_0_22,negated_conjecture,
( s(f1(f1(X1,X2),X3),X4)
| s(f1(f1(X5,X6),X7),X8)
| s(f1(X1,X2),X9)
| s(f1(X5,X6),X10) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_23,negated_conjecture,
( ~ p(X1,X1)
| ~ s(X1,f1(X1,X2))
| ~ s(X2,X2) ),
c_12 ).
cnf(c_0_24,negated_conjecture,
( s(f1(f1(X1,X2),X3),X4)
| s(f1(X1,X2),X5) ),
inference(condense,[status(thm)],[inference(ef,[status(thm)],[c_0_22])]) ).
cnf(c_0_25,negated_conjecture,
( s(X1,X2)
| ~ s(X2,f1(X2,X3))
| ~ s(X3,X3) ),
c_21 ).
cnf(c_0_26,negated_conjecture,
( s(f1(X1,X2),X3)
| ~ s(X4,X4)
| ~ p(f1(f1(X1,X2),X5),f1(f1(X1,X2),X5)) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_27,negated_conjecture,
( p(f1(X1,X2),f1(X1,X2))
| ~ s(X1,f1(X1,X2))
| ~ s(X2,X2) ),
c_3 ).
cnf(c_0_28,negated_conjecture,
( s(X1,f1(f1(X2,X3),X4))
| s(f1(X2,X3),X5)
| ~ s(X6,X6) ),
inference(spm,[status(thm)],[c_0_25,c_0_24]) ).
cnf(c_0_29,negated_conjecture,
( s(f1(X1,X2),X3)
| ~ s(X4,X4) ),
inference(csr,[status(thm)],[inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27])]),c_0_28]) ).
cnf(c_0_30,negated_conjecture,
s(f1(X1,X2),X3),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_24])]) ).
cnf(c_0_31,negated_conjecture,
( s(X1,f1(X2,X3))
| ~ s(X4,X4) ),
inference(spm,[status(thm)],[c_0_25,c_0_30]) ).
cnf(c_0_32,negated_conjecture,
s(X1,f1(X2,X3)),
inference(spm,[status(thm)],[c_0_31,c_0_30]) ).
cnf(c_0_33,negated_conjecture,
( s(X1,X2)
| ~ s(X3,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_32])]) ).
cnf(c_0_34,negated_conjecture,
( ~ s(X1,X1)
| ~ p(X2,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_32])]) ).
cnf(c_0_35,negated_conjecture,
s(X1,X2),
inference(spm,[status(thm)],[c_0_33,c_0_30]) ).
cnf(c_0_36,negated_conjecture,
~ p(X1,X1),
inference(spm,[status(thm)],[c_0_34,c_0_30]) ).
cnf(c_0_37,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_32])]),c_0_35])]),c_0_36]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN039-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.16/0.35 % Computer : n021.cluster.edu
% 0.16/0.35 % Model : x86_64 x86_64
% 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35 % Memory : 8042.1875MB
% 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35 % CPULimit : 300
% 0.16/0.35 % WCLimit : 300
% 0.16/0.35 % DateTime : Sat Aug 26 17:59:27 EDT 2023
% 0.16/0.35 % CPUTime :
% 0.20/0.58 start to proof: theBenchmark
% 1.44/1.61 % Version : CSE_E---1.5
% 1.44/1.61 % Problem : theBenchmark.p
% 1.44/1.61 % Proof found
% 1.44/1.61 % SZS status Theorem for theBenchmark.p
% 1.44/1.61 % SZS output start Proof
% See solution above
% 1.44/1.61 % Total time : 1.014000 s
% 1.44/1.61 % SZS output end Proof
% 1.44/1.61 % Total time : 1.017000 s
%------------------------------------------------------------------------------