%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : PUZ025-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 08:22:05 AM UTC 2026
% Result : Unsatisfiable 10.38s 1.80s
% Output : CNFRefutation 10.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of clauses : 27 ( 8 unt; 6 nHn; 25 RR)
% Number of literals : 66 ( 0 equ; 41 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 28 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(truthteller_identifies_truths,axiom,
( answer(yes)
| ~ 'a$utruth'(X1)
| ~ 'a$utruth'(truthteller(X0))
| ~ 'ask$u1$uif$u2'(X0,X1) ) ).
cnf(truthteller_denies_lies,axiom,
( answer(no)
| 'a$utruth'(X1)
| ~ 'a$utruth'(truthteller(X0))
| ~ 'ask$u1$uif$u2'(X0,X1) ) ).
cnf(liar_denies_truths,axiom,
( answer(no)
| ~ 'a$utruth'(X1)
| ~ 'a$utruth'(liar(X0))
| ~ 'ask$u1$uif$u2'(X0,X1) ) ).
cnf(liar_supports_lies,axiom,
( answer(yes)
| 'a$utruth'(X1)
| ~ 'a$utruth'(liar(X0))
| ~ 'ask$u1$uif$u2'(X0,X1) ) ).
cnf(ask_c_if_a_and_b_equal,hypothesis,
'ask$u1$uif$u2'(c,'equal$utype'(a,b)) ).
cnf(prove_there_is_an_answer,negated_conjecture,
~ answer(X0) ).
cnf(truthteller_or_liar,axiom,
( 'a$utruth'(liar(X0))
| 'a$utruth'(truthteller(X0)) ) ).
cnf(c7,plain,
( answer(yes)
| ~ 'a$utruth'(X1)
| ~ 'a$utruth'(truthteller(X0))
| ~ 'ask$u1$uif$u2'(X0,X1) ),
inference(clausification,[status(esa)],[truthteller_identifies_truths]) ).
cnf(c8,plain,
( answer(no)
| 'a$utruth'(X1)
| ~ 'a$utruth'(truthteller(X0))
| ~ 'ask$u1$uif$u2'(X0,X1) ),
inference(clausification,[status(esa)],[truthteller_denies_lies]) ).
cnf(c9,plain,
( answer(no)
| ~ 'a$utruth'(X1)
| ~ 'a$utruth'(liar(X0))
| ~ 'ask$u1$uif$u2'(X0,X1) ),
inference(clausification,[status(esa)],[liar_denies_truths]) ).
cnf(c10,plain,
( answer(yes)
| 'a$utruth'(X1)
| ~ 'a$utruth'(liar(X0))
| ~ 'ask$u1$uif$u2'(X0,X1) ),
inference(clausification,[status(esa)],[liar_supports_lies]) ).
cnf(c16,plain,
'ask$u1$uif$u2'(c,'equal$utype'(a,b)),
inference(clausification,[status(esa)],[ask_c_if_a_and_b_equal]) ).
cnf(c17,plain,
~ answer(X0),
inference(clausification,[status(esa)],[prove_there_is_an_answer]) ).
cnf(c18,plain,
( 'a$utruth'(liar(X0))
| 'a$utruth'(truthteller(X0)) ),
inference(clausification,[status(esa)],[truthteller_or_liar]) ).
cnf(d0,plain,
( ~ 'ask$u1$uif$u2'(X1,X0)
| ~ 'a$utruth'(liar(X1))
| 'a$utruth'(X0) ),
inference(resolution,[status(thm)],[c17,c10]) ).
cnf(d1,plain,
( ~ 'a$utruth'(liar(c))
| 'a$utruth'('equal$utype'(a,b)) ),
inference(resolution,[status(thm)],[d0,c16]) ).
cnf(d2,plain,
( ~ 'ask$u1$uif$u2'(X1,X0)
| ~ 'a$utruth'(truthteller(X1))
| ~ 'a$utruth'(X0) ),
inference(resolution,[status(thm)],[c17,c7]) ).
cnf(d3,plain,
( ~ 'a$utruth'(truthteller(c))
| ~ 'a$utruth'('equal$utype'(a,b)) ),
inference(resolution,[status(thm)],[d2,c16]) ).
cnf(d4,plain,
( ~ 'ask$u1$uif$u2'(X1,X0)
| ~ 'a$utruth'(truthteller(X1))
| 'a$utruth'(X0) ),
inference(resolution,[status(thm)],[c17,c8]) ).
cnf(d5,plain,
( ~ 'a$utruth'(truthteller(c))
| 'a$utruth'('equal$utype'(a,b)) ),
inference(resolution,[status(thm)],[d4,c16]) ).
cnf(d6,plain,
( ~ 'a$utruth'(truthteller(c))
| ~ 'a$utruth'(truthteller(c)) ),
inference(resolution,[status(thm)],[d5,d3]) ).
cnf(d7,plain,
'a$utruth'(liar(c)),
inference(resolution,[status(thm)],[d6,c18]) ).
cnf(d8,plain,
'a$utruth'('equal$utype'(a,b)),
inference(resolution,[status(thm)],[d7,d1]) ).
cnf(d9,plain,
( ~ 'ask$u1$uif$u2'(X1,X0)
| ~ 'a$utruth'(liar(X1))
| ~ 'a$utruth'(X0) ),
inference(resolution,[status(thm)],[c17,c9]) ).
cnf(d10,plain,
( ~ 'a$utruth'(liar(c))
| ~ 'a$utruth'('equal$utype'(a,b)) ),
inference(resolution,[status(thm)],[d9,c16]) ).
cnf(d11,plain,
~ 'a$utruth'('equal$utype'(a,b)),
inference(resolution,[status(thm)],[d7,d10]) ).
cnf(d12,plain,
$false,
inference(resolution,[status(thm)],[d11,d8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ025-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n005.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 05:04:47 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.38/1.80 % SZS status Unsatisfiable for theBenchmark.p
% 10.38/1.80 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------