TSTP Solution File: PUZ026-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : PUZ026-1 : 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 : n013.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 0.19s 0.57s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 26
% Syntax : Number of formulae : 66 ( 17 unt; 10 typ; 0 def)
% Number of atoms : 116 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 135 ( 75 ~; 60 |; 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 : 10 ( 7 >; 3 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 51 ( 17 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,
normal: $i > $i ).
tff(decl_26,type,
says: ( $i * $i ) > $i ).
tff(decl_27,type,
not_normal: $i > $i ).
tff(decl_28,type,
people: ( $i * $i * $i ) > $o ).
tff(decl_29,type,
a: $i ).
tff(decl_30,type,
b: $i ).
tff(decl_31,type,
c: $i ).
cnf(liars_lie,axiom,
( ~ a_truth(liar(X1))
| ~ a_truth(says(X1,X2))
| ~ a_truth(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/PUZ003-0.ax',liars_lie) ).
cnf(b_says_a_normal,hypothesis,
a_truth(says(b,normal(a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_says_a_normal) ).
cnf(c_says_c_not_normal,hypothesis,
a_truth(says(c,not_normal(c))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_says_c_not_normal) ).
cnf(not_two_truthtellers1,axiom,
( ~ people(X1,X2,X3)
| ~ a_truth(truthteller(X1))
| ~ a_truth(truthteller(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_two_truthtellers1) ).
cnf(b_c_a_are_people,hypothesis,
people(b,c,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_c_a_are_people) ).
cnf(person_is_one_type,axiom,
( a_truth(truthteller(X1))
| a_truth(liar(X1))
| a_truth(normal(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/PUZ003-0.ax',person_is_one_type) ).
cnf(normal_or_not_normal,axiom,
( a_truth(not_normal(X1))
| a_truth(normal(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',normal_or_not_normal) ).
cnf(not_liar_and_normal,axiom,
( ~ a_truth(liar(X1))
| ~ a_truth(normal(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/PUZ003-0.ax',not_liar_and_normal) ).
cnf(not_two_liars2,axiom,
( ~ people(X1,X2,X3)
| ~ a_truth(liar(X1))
| ~ a_truth(liar(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_two_liars2) ).
cnf(truthtellers_tell_truth,axiom,
( a_truth(X2)
| ~ a_truth(truthteller(X1))
| ~ a_truth(says(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/Axioms/PUZ003-0.ax',truthtellers_tell_truth) ).
cnf(a_says_a_normal,hypothesis,
a_truth(says(a,normal(a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_says_a_normal) ).
cnf(not_truthteller_and_normal,axiom,
( ~ a_truth(truthteller(X1))
| ~ a_truth(normal(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/PUZ003-0.ax',not_truthteller_and_normal) ).
cnf(not_two_normal2,axiom,
( ~ people(X1,X2,X3)
| ~ a_truth(normal(X1))
| ~ a_truth(normal(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_two_normal2) ).
cnf(c_b_a_are_people,hypothesis,
people(c,b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_b_a_are_people) ).
cnf(not_two_normal1,axiom,
( ~ people(X1,X2,X3)
| ~ a_truth(normal(X1))
| ~ a_truth(normal(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_two_normal1) ).
cnf(prove_one_of_each,negated_conjecture,
( ~ a_truth(liar(X1))
| ~ a_truth(normal(X2))
| ~ a_truth(truthteller(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_one_of_each) ).
cnf(c_0_16,axiom,
( ~ a_truth(liar(X1))
| ~ a_truth(says(X1,X2))
| ~ a_truth(X2) ),
liars_lie ).
cnf(c_0_17,hypothesis,
a_truth(says(b,normal(a))),
b_says_a_normal ).
cnf(c_0_18,hypothesis,
a_truth(says(c,not_normal(c))),
c_says_c_not_normal ).
cnf(c_0_19,axiom,
( ~ people(X1,X2,X3)
| ~ a_truth(truthteller(X1))
| ~ a_truth(truthteller(X2)) ),
not_two_truthtellers1 ).
cnf(c_0_20,hypothesis,
people(b,c,a),
b_c_a_are_people ).
cnf(c_0_21,hypothesis,
( ~ a_truth(liar(b))
| ~ a_truth(normal(a)) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_22,axiom,
( a_truth(truthteller(X1))
| a_truth(liar(X1))
| a_truth(normal(X1)) ),
person_is_one_type ).
cnf(c_0_23,hypothesis,
( ~ a_truth(liar(c))
| ~ a_truth(not_normal(c)) ),
inference(spm,[status(thm)],[c_0_16,c_0_18]) ).
cnf(c_0_24,axiom,
( a_truth(not_normal(X1))
| a_truth(normal(X1)) ),
normal_or_not_normal ).
cnf(c_0_25,axiom,
( ~ a_truth(liar(X1))
| ~ a_truth(normal(X1)) ),
not_liar_and_normal ).
cnf(c_0_26,axiom,
( ~ people(X1,X2,X3)
| ~ a_truth(liar(X1))
| ~ a_truth(liar(X3)) ),
not_two_liars2 ).
cnf(c_0_27,hypothesis,
( ~ a_truth(truthteller(c))
| ~ a_truth(truthteller(b)) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_28,hypothesis,
( a_truth(normal(b))
| a_truth(truthteller(b))
| ~ a_truth(normal(a)) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_29,hypothesis,
~ a_truth(liar(c)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]) ).
cnf(c_0_30,hypothesis,
( ~ a_truth(liar(a))
| ~ a_truth(liar(b)) ),
inference(spm,[status(thm)],[c_0_26,c_0_20]) ).
cnf(c_0_31,axiom,
( a_truth(X2)
| ~ a_truth(truthteller(X1))
| ~ a_truth(says(X1,X2)) ),
truthtellers_tell_truth ).
cnf(c_0_32,hypothesis,
a_truth(says(a,normal(a))),
a_says_a_normal ).
cnf(c_0_33,axiom,
( ~ a_truth(truthteller(X1))
| ~ a_truth(normal(X1)) ),
not_truthteller_and_normal ).
cnf(c_0_34,axiom,
( ~ people(X1,X2,X3)
| ~ a_truth(normal(X1))
| ~ a_truth(normal(X3)) ),
not_two_normal2 ).
cnf(c_0_35,hypothesis,
( a_truth(normal(b))
| ~ a_truth(truthteller(c))
| ~ a_truth(normal(a)) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_36,hypothesis,
( a_truth(normal(c))
| a_truth(truthteller(c)) ),
inference(spm,[status(thm)],[c_0_29,c_0_22]) ).
cnf(c_0_37,hypothesis,
people(c,b,a),
c_b_a_are_people ).
cnf(c_0_38,hypothesis,
( a_truth(normal(b))
| a_truth(truthteller(b))
| ~ a_truth(liar(a)) ),
inference(spm,[status(thm)],[c_0_30,c_0_22]) ).
cnf(c_0_39,hypothesis,
~ a_truth(truthteller(a)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]) ).
cnf(c_0_40,hypothesis,
( ~ a_truth(normal(a))
| ~ a_truth(normal(b)) ),
inference(spm,[status(thm)],[c_0_34,c_0_20]) ).
cnf(c_0_41,hypothesis,
( a_truth(normal(c))
| a_truth(normal(b))
| ~ a_truth(normal(a)) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_42,hypothesis,
( ~ a_truth(normal(a))
| ~ a_truth(normal(c)) ),
inference(spm,[status(thm)],[c_0_34,c_0_37]) ).
cnf(c_0_43,axiom,
( ~ people(X1,X2,X3)
| ~ a_truth(normal(X1))
| ~ a_truth(normal(X2)) ),
not_two_normal1 ).
cnf(c_0_44,hypothesis,
( a_truth(normal(a))
| ~ a_truth(truthteller(b)) ),
inference(spm,[status(thm)],[c_0_31,c_0_17]) ).
cnf(c_0_45,hypothesis,
( a_truth(truthteller(b))
| a_truth(normal(b)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_22]),c_0_39]),c_0_28]) ).
cnf(c_0_46,hypothesis,
~ a_truth(normal(a)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]) ).
cnf(c_0_47,hypothesis,
( ~ a_truth(normal(b))
| ~ a_truth(normal(c)) ),
inference(spm,[status(thm)],[c_0_43,c_0_37]) ).
cnf(c_0_48,hypothesis,
a_truth(normal(b)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46]) ).
cnf(c_0_49,hypothesis,
~ a_truth(normal(c)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_48])]) ).
cnf(c_0_50,negated_conjecture,
( ~ a_truth(liar(X1))
| ~ a_truth(normal(X2))
| ~ a_truth(truthteller(X3)) ),
prove_one_of_each ).
cnf(c_0_51,hypothesis,
a_truth(truthteller(c)),
inference(sr,[status(thm)],[c_0_36,c_0_49]) ).
cnf(c_0_52,negated_conjecture,
( ~ a_truth(liar(X1))
| ~ a_truth(normal(X2)) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_53,negated_conjecture,
( a_truth(normal(X1))
| a_truth(truthteller(X1))
| ~ a_truth(normal(X2)) ),
inference(spm,[status(thm)],[c_0_52,c_0_22]) ).
cnf(c_0_54,hypothesis,
( a_truth(truthteller(X1))
| a_truth(normal(X1)) ),
inference(spm,[status(thm)],[c_0_53,c_0_48]) ).
cnf(c_0_55,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_54]),c_0_46]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : PUZ026-1 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n013.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 21:52:02 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.55 start to proof: theBenchmark
% 0.19/0.57 % Version : CSE_E---1.5
% 0.19/0.57 % Problem : theBenchmark.p
% 0.19/0.57 % Proof found
% 0.19/0.57 % SZS status Theorem for theBenchmark.p
% 0.19/0.57 % SZS output start Proof
% See solution above
% 0.19/0.57 % Total time : 0.007000 s
% 0.19/0.57 % SZS output end Proof
% 0.19/0.57 % Total time : 0.010000 s
%------------------------------------------------------------------------------