TSTP Solution File: COL098-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : COL098-1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n004.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 : Wed Aug 30 18:22:37 EDT 2023
% Result : Unsatisfiable 0.20s 0.59s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 24
% Syntax : Number of formulae : 44 ( 13 unt; 14 typ; 0 def)
% Number of atoms : 55 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 53 ( 28 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 7 >; 5 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-3 aty)
% Number of variables : 37 ( 2 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
combK: $i ).
tff(decl_23,type,
combS: $i ).
tff(decl_24,type,
comb_app: ( $i * $i ) > $i ).
tff(decl_25,type,
pair: ( $i * $i ) > $i ).
tff(decl_26,type,
member: ( $i * $i ) > $o ).
tff(decl_27,type,
trancl: $i > $i ).
tff(decl_28,type,
trans: $i > $o ).
tff(decl_29,type,
r: $i ).
tff(decl_30,type,
sk1: ( $i * $i * $i ) > $i ).
tff(decl_31,type,
x: $i ).
tff(decl_32,type,
y: $i ).
tff(decl_33,type,
z: $i ).
tff(decl_34,type,
sk2: $i > $i ).
tff(decl_35,type,
sk3: $i ).
cnf(diamond_strip_lemmaD_2h1,hypothesis,
( member(pair(X2,sk1(X1,X2,X3)),r)
| ~ member(pair(X1,X2),r)
| ~ member(pair(X1,X3),r) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_strip_lemmaD_2h1) ).
cnf(diamond_strip_lemmaD_2h4,hypothesis,
member(pair(y,z),r),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_strip_lemmaD_2h4) ).
cnf(diamond_strip_lemmaD_2h6,hypothesis,
( member(pair(y,sk2(X1)),r)
| ~ member(pair(x,X1),r) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_strip_lemmaD_2h6) ).
cnf(diamond_strip_lemmaD_2c1,negated_conjecture,
member(pair(x,sk3),r),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_strip_lemmaD_2c1) ).
cnf(diamond_strip_lemmaD_2h2,hypothesis,
( member(pair(X3,sk1(X1,X2,X3)),r)
| ~ member(pair(X1,X2),r)
| ~ member(pair(X1,X3),r) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_strip_lemmaD_2h2) ).
cnf(r_into_trancl,axiom,
( member(pair(X1,X2),trancl(X3))
| ~ member(pair(X1,X2),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',r_into_trancl) ).
cnf(transD,axiom,
( member(pair(X2,X4),X1)
| ~ trans(X1)
| ~ member(pair(X2,X3),X1)
| ~ member(pair(X3,X4),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transD) ).
cnf(trans_trancl,axiom,
trans(trancl(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',trans_trancl) ).
cnf(diamond_strip_lemmaD_2h5,hypothesis,
( member(pair(X1,sk2(X1)),trancl(r))
| ~ member(pair(x,X1),r) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_strip_lemmaD_2h5) ).
cnf(diamond_strip_lemmaD_2c2,negated_conjecture,
( ~ member(pair(sk3,X1),trancl(r))
| ~ member(pair(z,X1),r) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_strip_lemmaD_2c2) ).
cnf(c_0_10,hypothesis,
( member(pair(X2,sk1(X1,X2,X3)),r)
| ~ member(pair(X1,X2),r)
| ~ member(pair(X1,X3),r) ),
diamond_strip_lemmaD_2h1 ).
cnf(c_0_11,hypothesis,
member(pair(y,z),r),
diamond_strip_lemmaD_2h4 ).
cnf(c_0_12,hypothesis,
( member(pair(y,sk2(X1)),r)
| ~ member(pair(x,X1),r) ),
diamond_strip_lemmaD_2h6 ).
cnf(c_0_13,negated_conjecture,
member(pair(x,sk3),r),
diamond_strip_lemmaD_2c1 ).
cnf(c_0_14,hypothesis,
( member(pair(X1,sk1(y,X1,z)),r)
| ~ member(pair(y,X1),r) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,negated_conjecture,
member(pair(y,sk2(sk3)),r),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,hypothesis,
( member(pair(X3,sk1(X1,X2,X3)),r)
| ~ member(pair(X1,X2),r)
| ~ member(pair(X1,X3),r) ),
diamond_strip_lemmaD_2h2 ).
cnf(c_0_17,axiom,
( member(pair(X1,X2),trancl(X3))
| ~ member(pair(X1,X2),X3) ),
r_into_trancl ).
cnf(c_0_18,negated_conjecture,
member(pair(sk2(sk3),sk1(y,sk2(sk3),z)),r),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,hypothesis,
( member(pair(z,sk1(y,X1,z)),r)
| ~ member(pair(y,X1),r) ),
inference(spm,[status(thm)],[c_0_16,c_0_11]) ).
cnf(c_0_20,axiom,
( member(pair(X2,X4),X1)
| ~ trans(X1)
| ~ member(pair(X2,X3),X1)
| ~ member(pair(X3,X4),X1) ),
transD ).
cnf(c_0_21,negated_conjecture,
member(pair(sk2(sk3),sk1(y,sk2(sk3),z)),trancl(r)),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,axiom,
trans(trancl(X1)),
trans_trancl ).
cnf(c_0_23,hypothesis,
( member(pair(X1,sk2(X1)),trancl(r))
| ~ member(pair(x,X1),r) ),
diamond_strip_lemmaD_2h5 ).
cnf(c_0_24,negated_conjecture,
( ~ member(pair(sk3,X1),trancl(r))
| ~ member(pair(z,X1),r) ),
diamond_strip_lemmaD_2c2 ).
cnf(c_0_25,negated_conjecture,
member(pair(z,sk1(y,sk2(sk3),z)),r),
inference(spm,[status(thm)],[c_0_19,c_0_15]) ).
cnf(c_0_26,negated_conjecture,
( member(pair(X1,sk1(y,sk2(sk3),z)),trancl(r))
| ~ member(pair(X1,sk2(sk3)),trancl(r)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22])]) ).
cnf(c_0_27,negated_conjecture,
member(pair(sk3,sk2(sk3)),trancl(r)),
inference(spm,[status(thm)],[c_0_23,c_0_13]) ).
cnf(c_0_28,negated_conjecture,
~ member(pair(sk3,sk1(y,sk2(sk3),z)),trancl(r)),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_29,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : COL098-1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n004.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 : Sun Aug 27 04:32:37 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.20/0.56 start to proof: theBenchmark
% 0.20/0.59 % Version : CSE_E---1.5
% 0.20/0.59 % Problem : theBenchmark.p
% 0.20/0.59 % Proof found
% 0.20/0.59 % SZS status Theorem for theBenchmark.p
% 0.20/0.59 % SZS output start Proof
% See solution above
% 0.20/0.59 % Total time : 0.022000 s
% 0.20/0.59 % SZS output end Proof
% 0.20/0.59 % Total time : 0.024000 s
%------------------------------------------------------------------------------