TSTP Solution File: SYN069-1 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN069-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n023.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 01:49:54 EDT 2023
% Result : Unsatisfiable 0.54s 0.58s
% Output : CNFRefutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 18
% Syntax : Number of formulae : 38 ( 5 unt; 9 typ; 0 def)
% Number of atoms : 77 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 94 ( 46 ~; 48 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 8 >; 2 *; 0 +; 0 <<)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 28 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
big_f: $i > $o ).
tff(decl_23,type,
f: $i > $i ).
tff(decl_24,type,
big_g: $i > $o ).
tff(decl_25,type,
big_h: ( $i * $i ) > $o ).
tff(decl_26,type,
big_k: $i > $o ).
tff(decl_27,type,
big_j: ( $i * $i ) > $o ).
tff(decl_28,type,
big_l: $i > $o ).
tff(decl_29,type,
a: $i ).
tff(decl_30,type,
g: $i > $i ).
cnf(clause_4,axiom,
( ~ big_l(X1)
| ~ big_k(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
cnf(clause_6,axiom,
( big_l(X1)
| ~ big_h(a,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
cnf(clause_1,axiom,
( big_g(f(X1))
| big_k(X2)
| ~ big_f(X1)
| ~ big_g(X2)
| ~ big_h(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
cnf(clause_9,negated_conjecture,
( big_h(X1,g(X1))
| ~ big_f(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9) ).
cnf(clause_8,negated_conjecture,
( big_g(g(X1))
| ~ big_f(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8) ).
cnf(clause_2,axiom,
( big_h(X1,f(X1))
| big_k(X2)
| ~ big_f(X1)
| ~ big_g(X2)
| ~ big_h(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
cnf(clause_5,axiom,
big_f(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
cnf(clause_3,axiom,
( big_k(X2)
| ~ big_f(X1)
| ~ big_j(X1,f(X1))
| ~ big_g(X2)
| ~ big_h(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
cnf(clause_7,axiom,
( big_j(a,X1)
| ~ big_g(X1)
| ~ big_h(a,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).
cnf(c_0_9,axiom,
( ~ big_l(X1)
| ~ big_k(X1) ),
clause_4 ).
cnf(c_0_10,axiom,
( big_l(X1)
| ~ big_h(a,X1) ),
clause_6 ).
cnf(c_0_11,axiom,
( big_g(f(X1))
| big_k(X2)
| ~ big_f(X1)
| ~ big_g(X2)
| ~ big_h(X1,X2) ),
clause_1 ).
cnf(c_0_12,negated_conjecture,
( big_h(X1,g(X1))
| ~ big_f(X1) ),
clause_9 ).
cnf(c_0_13,negated_conjecture,
( big_g(g(X1))
| ~ big_f(X1) ),
clause_8 ).
cnf(c_0_14,axiom,
( big_h(X1,f(X1))
| big_k(X2)
| ~ big_f(X1)
| ~ big_g(X2)
| ~ big_h(X1,X2) ),
clause_2 ).
cnf(c_0_15,plain,
( ~ big_k(X1)
| ~ big_h(a,X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_16,negated_conjecture,
( big_k(g(X1))
| big_g(f(X1))
| ~ big_f(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]) ).
cnf(c_0_17,negated_conjecture,
( big_k(g(X1))
| big_h(X1,f(X1))
| ~ big_f(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_12]),c_0_13]) ).
cnf(c_0_18,axiom,
big_f(a),
clause_5 ).
cnf(c_0_19,negated_conjecture,
( big_g(f(X1))
| ~ big_h(a,g(X1))
| ~ big_f(X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,negated_conjecture,
( big_k(g(a))
| big_h(a,f(a)) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_21,axiom,
( big_k(X2)
| ~ big_f(X1)
| ~ big_j(X1,f(X1))
| ~ big_g(X2)
| ~ big_h(X1,X2) ),
clause_3 ).
cnf(c_0_22,axiom,
( big_j(a,X1)
| ~ big_g(X1)
| ~ big_h(a,X1) ),
clause_7 ).
cnf(c_0_23,negated_conjecture,
big_g(f(a)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_12]),c_0_18])]) ).
cnf(c_0_24,negated_conjecture,
( big_h(a,f(a))
| ~ big_h(a,g(a)) ),
inference(spm,[status(thm)],[c_0_15,c_0_20]) ).
cnf(c_0_25,plain,
( ~ big_h(a,f(a))
| ~ big_h(a,X1)
| ~ big_g(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_18]),c_0_23])]),c_0_15]) ).
cnf(c_0_26,negated_conjecture,
big_h(a,f(a)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_12]),c_0_18])]) ).
cnf(c_0_27,plain,
( ~ big_h(a,X1)
| ~ big_g(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_26])]) ).
cnf(c_0_28,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_23]),c_0_26])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN069-1 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % 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 19:08:11 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.53/0.57 start to proof: theBenchmark
% 0.54/0.58 % Version : CSE_E---1.5
% 0.54/0.58 % Problem : theBenchmark.p
% 0.54/0.58 % Proof found
% 0.54/0.58 % SZS status Theorem for theBenchmark.p
% 0.54/0.58 % SZS output start Proof
% See solution above
% 0.54/0.58 % Total time : 0.004000 s
% 0.54/0.58 % SZS output end Proof
% 0.54/0.58 % Total time : 0.007000 s
%------------------------------------------------------------------------------