%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : MGT058-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 08:01:24 AM UTC 2026
% Result : Unsatisfiable 12.52s 1.97s
% Output : CNFRefutation 12.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 11
% Syntax : Number of clauses : 47 ( 17 unt; 13 nHn; 46 RR)
% Number of literals : 86 ( 22 equ; 33 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 25 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(definition_3_30,axiom,
( 'positional$uadvantage'(X0,X1)
| ~ 'smaller$uor$uequal'(age(X0,X1),sigma)
| ~ 'fragile$uposition'(X0) ) ).
cnf(definition_4_36,axiom,
( ~ 'positional$uadvantage'(X0,X1)
| ~ 'smaller$uor$uequal'(age(X0,X1),tau)
| ~ 'robust$uposition'(X0) ) ).
cnf(lemma_10_43,negated_conjecture,
age(sk3,sk4) = zero ).
cnf(lemma_10_44,negated_conjecture,
'greater$uor$uequal'(sigma,zero) ).
cnf(lemma_10_45,negated_conjecture,
'greater$uor$uequal'(tau,zero) ).
cnf(lemma_10_46,negated_conjecture,
'fragile$uposition'(sk3) ).
cnf(lemma_10_47,negated_conjecture,
'robust$uposition'(sk3) ).
cnf(definition_smaller_or_equal_2,axiom,
( 'smaller$uor$uequal'(X0,X1)
| ~ smaller(X0,X1) ) ).
cnf(definition_smaller_or_equal_3,axiom,
( 'smaller$uor$uequal'(X0,X1)
| X0 != X1 ) ).
cnf(definition_greater_or_equal_4,axiom,
( X0 = X1
| greater(X0,X1)
| ~ 'greater$uor$uequal'(X0,X1) ) ).
cnf(definition_smaller_8,axiom,
( smaller(X1,X0)
| ~ greater(X0,X1) ) ).
cnf(c0,plain,
( 'positional$uadvantage'(X0,X1)
| ~ 'smaller$uor$uequal'(age(X0,X1),sigma)
| ~ 'fragile$uposition'(X0) ),
inference(clausification,[status(esa)],[definition_3_30]) ).
cnf(c6,plain,
( ~ 'positional$uadvantage'(X0,X1)
| ~ 'smaller$uor$uequal'(age(X0,X1),tau)
| ~ 'robust$uposition'(X0) ),
inference(clausification,[status(esa)],[definition_4_36]) ).
cnf(c13,plain,
age(sk3,sk4) = zero,
inference(clausification,[status(esa)],[lemma_10_43]) ).
cnf(c14,plain,
'greater$uor$uequal'(sigma,zero),
inference(clausification,[status(esa)],[lemma_10_44]) ).
cnf(c15,plain,
'greater$uor$uequal'(tau,zero),
inference(clausification,[status(esa)],[lemma_10_45]) ).
cnf(c16,plain,
'fragile$uposition'(sk3),
inference(clausification,[status(esa)],[lemma_10_46]) ).
cnf(c17,plain,
'robust$uposition'(sk3),
inference(clausification,[status(esa)],[lemma_10_47]) ).
cnf(c19,plain,
( 'smaller$uor$uequal'(X0,X1)
| ~ smaller(X0,X1) ),
inference(clausification,[status(esa)],[definition_smaller_or_equal_2]) ).
cnf(c20,plain,
( 'smaller$uor$uequal'(X0,X1)
| X0 != X1 ),
inference(clausification,[status(esa)],[definition_smaller_or_equal_3]) ).
cnf(c21,plain,
( X0 = X1
| greater(X0,X1)
| ~ 'greater$uor$uequal'(X0,X1) ),
inference(clausification,[status(esa)],[definition_greater_or_equal_4]) ).
cnf(c25,plain,
( smaller(X1,X0)
| ~ greater(X0,X1) ),
inference(clausification,[status(esa)],[definition_smaller_8]) ).
cnf(d0,plain,
( ~ 'robust$uposition'(sk3)
| ~ 'positional$uadvantage'(sk3,sk4)
| ~ 'smaller$uor$uequal'(zero,tau) ),
inference(superposition,[status(thm)],[c13,c6]) ).
cnf(d1,plain,
( ~ 'positional$uadvantage'(sk3,sk4)
| ~ 'smaller$uor$uequal'(zero,tau) ),
inference(resolution,[status(thm)],[c17,d0]) ).
cnf(d2,plain,
( 'positional$uadvantage'(sk3,sk4)
| ~ 'fragile$uposition'(sk3)
| ~ 'smaller$uor$uequal'(zero,sigma) ),
inference(superposition,[status(thm)],[c13,c0]) ).
cnf(d3,plain,
( 'positional$uadvantage'(sk3,sk4)
| ~ 'smaller$uor$uequal'(zero,sigma) ),
inference(resolution,[status(thm)],[c16,d2]) ).
cnf(d4,plain,
( greater(sigma,zero)
| sigma = zero ),
inference(resolution,[status(thm)],[c21,c14]) ).
cnf(d5,plain,
( smaller(zero,sigma)
| sigma = zero ),
inference(resolution,[status(thm)],[d4,c25]) ).
cnf(d6,plain,
( 'smaller$uor$uequal'(zero,sigma)
| sigma = zero ),
inference(resolution,[status(thm)],[d5,c19]) ).
cnf(d7,plain,
( 'positional$uadvantage'(sk3,sk4)
| sigma = zero ),
inference(resolution,[status(thm)],[d6,d3]) ).
cnf(d8,plain,
( ~ 'smaller$uor$uequal'(zero,tau)
| sigma = zero ),
inference(resolution,[status(thm)],[d7,d1]) ).
cnf(d9,plain,
( greater(tau,zero)
| tau = zero ),
inference(resolution,[status(thm)],[c21,c15]) ).
cnf(d10,plain,
( smaller(zero,tau)
| tau = zero ),
inference(resolution,[status(thm)],[d9,c25]) ).
cnf(d11,plain,
( 'smaller$uor$uequal'(zero,tau)
| tau = zero ),
inference(resolution,[status(thm)],[d10,c19]) ).
cnf(d12,plain,
( tau = zero
| sigma = zero ),
inference(resolution,[status(thm)],[d8,d11]) ).
cnf(d13,plain,
( sigma = zero
| sigma = zero
| ~ 'smaller$uor$uequal'(tau,tau) ),
inference(superposition,[status(thm)],[d12,d8]) ).
cnf(d14,plain,
'smaller$uor$uequal'(X0,X0),
inference(equality_resolution,[status(thm)],[c20]) ).
cnf(d15,plain,
sigma = zero,
inference(resolution,[status(thm)],[d14,d13]) ).
cnf(d16,plain,
( 'smaller$uor$uequal'(zero,tau)
| tau = sigma ),
inference(demodulation,[status(thm)],[d11,d15]) ).
cnf(d17,plain,
( 'smaller$uor$uequal'(sigma,tau)
| tau = sigma ),
inference(demodulation,[status(thm)],[d16,d15]) ).
cnf(d18,plain,
( ~ 'positional$uadvantage'(sk3,sk4)
| ~ 'smaller$uor$uequal'(sigma,tau) ),
inference(demodulation,[status(thm)],[d1,d15]) ).
cnf(d19,plain,
( 'positional$uadvantage'(sk3,sk4)
| ~ 'smaller$uor$uequal'(sigma,sigma) ),
inference(demodulation,[status(thm)],[d3,d15]) ).
cnf(d20,plain,
'positional$uadvantage'(sk3,sk4),
inference(resolution,[status(thm)],[d14,d19]) ).
cnf(d21,plain,
~ 'smaller$uor$uequal'(sigma,tau),
inference(resolution,[status(thm)],[d20,d18]) ).
cnf(d22,plain,
tau = sigma,
inference(resolution,[status(thm)],[d21,d17]) ).
cnf(d23,plain,
~ 'smaller$uor$uequal'(sigma,sigma),
inference(demodulation,[status(thm)],[d21,d22]) ).
cnf(d24,plain,
$false,
inference(resolution,[status(thm)],[d14,d23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT058-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n009.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 26 00:10:29 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.52/1.97 % SZS status Unsatisfiable for theBenchmark.p
% 12.52/1.97 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------