%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : REL049+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 08:24:26 AM UTC 2026
% Result : Theorem 11.24s 3.02s
% Output : CNFRefutation 11.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 15 unt; 0 def)
% Number of atoms : 21 ( 20 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 11 ( 7 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(maddux1_join_commutativity,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0) ).
fof(maddux2_join_associativity,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2) ).
fof(goals,conjecture,
! [X0,X1,X2] :
( ( join(X2,X1) = X1
& join(X0,X1) = X1 )
=> join(join(X0,X2),X1) = X1 ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2] :
( ( join(X2,X1) = X1
& join(X0,X1) = X1 )
=> join(join(X0,X2),X1) = X1 ),
inference(negate_conjecture,[status(cth)],[goals]) ).
cnf(c0,plain,
join(X0,X1) = join(X1,X0),
inference(clausification,[status(esa)],[maddux1_join_commutativity]) ).
cnf(c1,plain,
join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(clausification,[status(esa)],[maddux2_join_associativity]) ).
cnf(c13,plain,
join(sK25,sK26) = sK26,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c14,plain,
join(sK27,sK26) = sK26,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c15,plain,
join(join(sK25,sK27),sK26) != sK26,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
join(sK26,sK25) = sK26,
inference(demodulation,[status(thm)],[c13,c0]) ).
cnf(d1,plain,
join(sK26,sK27) = sK26,
inference(demodulation,[status(thm)],[c14,c0]) ).
cnf(d2,plain,
join(sK25,join(sK27,sK26)) != sK26,
inference(demodulation,[status(thm)],[c15,c1]) ).
cnf(d3,plain,
join(sK25,join(sK26,sK27)) != sK26,
inference(demodulation,[status(thm)],[d2,c0]) ).
cnf(d4,plain,
join(sK25,sK26) != sK26,
inference(demodulation,[status(thm)],[d3,d1]) ).
cnf(d5,plain,
join(sK26,sK25) != sK26,
inference(demodulation,[status(thm)],[d4,c0]) ).
cnf(d6,plain,
sK26 != sK26,
inference(demodulation,[status(thm)],[d5,d0]) ).
cnf(d7,plain,
$false,
inference(equality_resolution,[status(thm)],[d6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL049+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.34 % Computer : n012.cluster.edu
% 0.06/0.34 % Model : x86_64 x86_64
% 0.06/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.34 % Memory : 8046.5625MB
% 0.06/0.34 % OS : Linux 6.8.0-71-generic
% 0.06/0.35 % CPULimit : 300
% 0.06/0.35 % WCLimit : 300
% 0.06/0.35 % DateTime : Sat Sep 26 05:42:05 UTC 2026
% 0.06/0.35 % CPUTime :
% 0.06/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.24/3.02 % SZS status Theorem for theBenchmark.p
% 11.24/3.02 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------