TSTP Solution File: PUZ025-1 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : PUZ025-1 : 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 : Thu Aug 31 13:12:11 EDT 2023
% Result : Unsatisfiable 0.57s 0.61s
% Output : CNFRefutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 20
% Syntax : Number of formulae : 34 ( 7 unt; 13 typ; 0 def)
% Number of atoms : 53 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 66 ( 34 ~; 32 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 13 ( 8 >; 5 *; 0 +; 0 <<)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 28 ( 4 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,
equal_type: ( $i * $i ) > $i ).
tff(decl_28,type,
ask_1_if_2: ( $i * $i ) > $o ).
tff(decl_29,type,
yes: $i ).
tff(decl_30,type,
answer: $i > $o ).
tff(decl_31,type,
no: $i ).
tff(decl_32,type,
b: $i ).
tff(decl_33,type,
c: $i ).
tff(decl_34,type,
a: $i ).
cnf(liar_denies_truths,axiom,
( answer(no)
| ~ ask_1_if_2(X1,X2)
| ~ a_truth(liar(X1))
| ~ a_truth(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',liar_denies_truths) ).
cnf(prove_there_is_an_answer,negated_conjecture,
~ answer(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_there_is_an_answer) ).
cnf(truthteller_identifies_truths,axiom,
( answer(yes)
| ~ ask_1_if_2(X1,X2)
| ~ a_truth(truthteller(X1))
| ~ a_truth(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',truthteller_identifies_truths) ).
cnf(liar_supports_lies,axiom,
( a_truth(X2)
| answer(yes)
| ~ ask_1_if_2(X1,X2)
| ~ a_truth(liar(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',liar_supports_lies) ).
cnf(truthteller_denies_lies,axiom,
( a_truth(X2)
| answer(no)
| ~ ask_1_if_2(X1,X2)
| ~ a_truth(truthteller(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',truthteller_denies_lies) ).
cnf(ask_c_if_a_and_b_equal,hypothesis,
ask_1_if_2(c,equal_type(a,b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ask_c_if_a_and_b_equal) ).
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,axiom,
( answer(no)
| ~ ask_1_if_2(X1,X2)
| ~ a_truth(liar(X1))
| ~ a_truth(X2) ),
liar_denies_truths ).
cnf(c_0_8,negated_conjecture,
~ answer(X1),
prove_there_is_an_answer ).
cnf(c_0_9,axiom,
( answer(yes)
| ~ ask_1_if_2(X1,X2)
| ~ a_truth(truthteller(X1))
| ~ a_truth(X2) ),
truthteller_identifies_truths ).
cnf(c_0_10,axiom,
( a_truth(X2)
| answer(yes)
| ~ ask_1_if_2(X1,X2)
| ~ a_truth(liar(X1)) ),
liar_supports_lies ).
cnf(c_0_11,plain,
( ~ ask_1_if_2(X1,X2)
| ~ a_truth(liar(X1))
| ~ a_truth(X2) ),
inference(sr,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_12,axiom,
( a_truth(X2)
| answer(no)
| ~ ask_1_if_2(X1,X2)
| ~ a_truth(truthteller(X1)) ),
truthteller_denies_lies ).
cnf(c_0_13,plain,
( ~ ask_1_if_2(X1,X2)
| ~ a_truth(truthteller(X1))
| ~ a_truth(X2) ),
inference(sr,[status(thm)],[c_0_9,c_0_8]) ).
cnf(c_0_14,plain,
( ~ ask_1_if_2(X1,X2)
| ~ a_truth(liar(X1)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_10,c_0_8]),c_0_11]) ).
cnf(c_0_15,hypothesis,
ask_1_if_2(c,equal_type(a,b)),
ask_c_if_a_and_b_equal ).
cnf(c_0_16,plain,
( ~ ask_1_if_2(X1,X2)
| ~ a_truth(truthteller(X1)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_12,c_0_8]),c_0_13]) ).
cnf(c_0_17,hypothesis,
~ a_truth(liar(c)),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,axiom,
( a_truth(truthteller(X1))
| a_truth(liar(X1)) ),
truthteller_or_liar ).
cnf(c_0_19,hypothesis,
~ a_truth(truthteller(c)),
inference(spm,[status(thm)],[c_0_16,c_0_15]) ).
cnf(c_0_20,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : PUZ025-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.15/0.36 % Computer : n023.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sat Aug 26 22:37:56 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.59 start to proof: theBenchmark
% 0.22/0.61 % Version : CSE_E---1.5
% 0.22/0.61 % Problem : theBenchmark.p
% 0.22/0.61 % Proof found
% 0.57/0.61 % SZS status Theorem for theBenchmark.p
% 0.57/0.61 % SZS output start Proof
% See solution above
% 0.57/0.61 % Total time : 0.005000 s
% 0.57/0.61 % SZS output end Proof
% 0.57/0.61 % Total time : 0.008000 s
%------------------------------------------------------------------------------