TSTP Solution File: PUZ023-1 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : PUZ023-1 : 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 : n008.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 : Thu Aug 31 13:12:10 EDT 2023
% Result : Unsatisfiable 0.20s 0.58s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 22
% Syntax : Number of formulae : 36 ( 8 unt; 15 typ; 0 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 48 ( 27 ~; 21 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 6 >; 3 *; 0 +; 0 <<)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 8 ( 2 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
truthteller: $i > $i ).
tff(decl_23,type,
a_truth: $i > $o ).
tff(decl_24,type,
liar: $i > $i ).
tff(decl_25,type,
says: ( $i * $i ) > $i ).
tff(decl_26,type,
people: ( $i * $i * $i ) > $o ).
tff(decl_27,type,
one_truthteller: $i ).
tff(decl_28,type,
a: $i ).
tff(decl_29,type,
b: $i ).
tff(decl_30,type,
c: $i ).
tff(decl_31,type,
garbage: $i ).
tff(decl_32,type,
b_and_c_liars: $i ).
tff(decl_33,type,
an_answer: $i > $o ).
tff(decl_34,type,
b_liar_and_c_truthteller: $i ).
tff(decl_35,type,
b_truthteller_and_c_liar: $i ).
tff(decl_36,type,
b_and_c_truthtellers: $i ).
cnf(b_liar_and_c_truthteller,hypothesis,
( an_answer(b_liar_and_c_truthteller)
| ~ a_truth(liar(b))
| ~ a_truth(truthteller(c)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_liar_and_c_truthteller) ).
cnf(prove_there_is_an_answer,negated_conjecture,
~ an_answer(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_there_is_an_answer) ).
cnf(b_and_c_liars,hypothesis,
( an_answer(b_and_c_liars)
| ~ a_truth(liar(b))
| ~ a_truth(liar(c)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_and_c_liars) ).
cnf(truthtellers_tell_truth,axiom,
( a_truth(X2)
| ~ a_truth(truthteller(X1))
| ~ a_truth(says(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PUZ002-0.ax',truthtellers_tell_truth) ).
cnf(c_says_b_lies,hypothesis,
a_truth(says(c,liar(b))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_says_b_lies) ).
cnf(b_truthteller_and_c_liar,hypothesis,
( an_answer(b_truthteller_and_c_liar)
| ~ a_truth(truthteller(b))
| ~ a_truth(liar(c)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_truthteller_and_c_liar) ).
cnf(truthteller_or_liar,axiom,
( a_truth(truthteller(X1))
| a_truth(liar(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PUZ002-0.ax',truthteller_or_liar) ).
cnf(c_0_7,hypothesis,
( an_answer(b_liar_and_c_truthteller)
| ~ a_truth(liar(b))
| ~ a_truth(truthteller(c)) ),
b_liar_and_c_truthteller ).
cnf(c_0_8,negated_conjecture,
~ an_answer(X1),
prove_there_is_an_answer ).
cnf(c_0_9,hypothesis,
( an_answer(b_and_c_liars)
| ~ a_truth(liar(b))
| ~ a_truth(liar(c)) ),
b_and_c_liars ).
cnf(c_0_10,axiom,
( a_truth(X2)
| ~ a_truth(truthteller(X1))
| ~ a_truth(says(X1,X2)) ),
truthtellers_tell_truth ).
cnf(c_0_11,hypothesis,
a_truth(says(c,liar(b))),
c_says_b_lies ).
cnf(c_0_12,hypothesis,
( ~ a_truth(truthteller(c))
| ~ a_truth(liar(b)) ),
inference(sr,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_13,hypothesis,
( an_answer(b_truthteller_and_c_liar)
| ~ a_truth(truthteller(b))
| ~ a_truth(liar(c)) ),
b_truthteller_and_c_liar ).
cnf(c_0_14,hypothesis,
( ~ a_truth(liar(b))
| ~ a_truth(liar(c)) ),
inference(sr,[status(thm)],[c_0_9,c_0_8]) ).
cnf(c_0_15,axiom,
( a_truth(truthteller(X1))
| a_truth(liar(X1)) ),
truthteller_or_liar ).
cnf(c_0_16,hypothesis,
~ a_truth(truthteller(c)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]) ).
cnf(c_0_17,hypothesis,
( ~ a_truth(truthteller(b))
| ~ a_truth(liar(c)) ),
inference(sr,[status(thm)],[c_0_13,c_0_8]) ).
cnf(c_0_18,hypothesis,
~ a_truth(liar(b)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]) ).
cnf(c_0_19,hypothesis,
~ a_truth(truthteller(b)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_15]),c_0_16]) ).
cnf(c_0_20,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_15]),c_0_19]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PUZ023-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 22:13:02 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.57 start to proof: theBenchmark
% 0.20/0.58 % Version : CSE_E---1.5
% 0.20/0.58 % Problem : theBenchmark.p
% 0.20/0.58 % Proof found
% 0.20/0.58 % SZS status Theorem for theBenchmark.p
% 0.20/0.58 % SZS output start Proof
% See solution above
% 0.20/0.58 % Total time : 0.005000 s
% 0.20/0.58 % SZS output end Proof
% 0.20/0.58 % Total time : 0.008000 s
%------------------------------------------------------------------------------