%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LCL672+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.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 07:55:08 AM UTC 2026
% Result : Theorem 26.08s 4.10s
% Output : CNFRefutation 26.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 2
% Syntax : Number of formulae : 35 ( 13 unt; 0 def)
% Number of atoms : 231 ( 0 equ)
% Maximal formula atoms : 49 ( 6 avg)
% Number of connectives : 382 ( 186 ~; 174 |; 22 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-1 aty)
% Number of variables : 119 ( 0 sgn 61 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(reflexivity,axiom,
! [X0] : r1(X0,X0) ).
fof(main,conjecture,
~ ? [X0] :
~ ( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ! [X0] :
( $false
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) )
| ( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) )
| ( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ! [X0] :
( ~ ( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) )
| ( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p1(X1)
& ~ ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ~ ? [X0] :
~ ( ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ! [X0] :
( $false
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) )
| ( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( ~ ! [X0] :
( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
& ~ ! [X0] :
( ~ ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) )
| ( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ! [X0] :
( ~ ( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ! [X0] :
( p1(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) )
| ( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
& ~ ! [X1] :
( ~ ( p1(X1)
& ~ ! [X0] :
( ~ ! [X1] :
( ~ p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) )
| ~ r1(X0,X1) )
& ~ ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) ) ),
inference(negate_conjecture,[status(cth)],[main]) ).
cnf(c0,plain,
r1(X0,X0),
inference(clausification,[status(esa)],[reflexivity]) ).
cnf(c4,plain,
( ~ r1(X4,X2)
| ~ r1(sK4,X5)
| ~ r1(sK4,X3)
| ~ r1(X4,X0)
| p2(X1)
| p1(X5)
| ~ r1(X3,X4)
| p1(X2)
| ~ r1(sK4,X1)
| r1(X0,sK14(X0)) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c5,plain,
( ~ r1(X3,X1)
| ~ r1(sK4,X5)
| ~ p1(sK14(X4))
| p1(X5)
| ~ r1(sK4,X2)
| ~ r1(X3,X4)
| p2(X0)
| ~ r1(X2,X3)
| p1(X1)
| ~ r1(sK4,X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c11,plain,
r1(sK4,sK29),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c12,plain,
~ p2(sK29),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c13,plain,
r1(sK4,sK30),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c14,plain,
r1(sK30,sK31),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c15,plain,
( p1(X0)
| ~ r1(sK31,X0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c16,plain,
r1(sK30,sK33),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c17,plain,
~ p1(sK33),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c18,plain,
r1(sK4,sK34),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c19,plain,
~ p1(sK34),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( p1(sK14(sK31))
| p2(X3)
| p1(X4)
| p1(X1)
| ~ r1(sK4,X2)
| ~ r1(sK4,X4)
| ~ r1(sK4,X3)
| ~ r1(X2,X0)
| ~ r1(X0,sK31)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[c4,c15]) ).
cnf(d1,plain,
( p2(X3)
| p1(sK14(sK31))
| p1(X1)
| p1(X2)
| ~ r1(sK4,X3)
| ~ r1(sK4,X2)
| ~ r1(X0,sK31)
| ~ r1(X0,X1)
| ~ r1(sK30,X0) ),
inference(resolution,[status(thm)],[d0,c13]) ).
cnf(d2,plain,
( p2(X1)
| p1(sK14(sK31))
| p1(X0)
| p1(X2)
| ~ r1(sK4,X2)
| ~ r1(sK4,X1)
| ~ r1(sK30,sK31)
| ~ r1(sK30,X0) ),
inference(resolution,[status(thm)],[d1,c0]) ).
cnf(d3,plain,
( p2(X1)
| p1(sK14(sK31))
| p1(X2)
| p1(X0)
| ~ r1(sK30,X2)
| ~ r1(sK4,X1)
| ~ r1(sK4,X0) ),
inference(resolution,[status(thm)],[c14,d2]) ).
cnf(d4,plain,
( p2(X0)
| p1(sK14(sK31))
| p1(X1)
| p1(sK33)
| ~ r1(sK4,X1)
| ~ r1(sK4,X0) ),
inference(resolution,[status(thm)],[d3,c16]) ).
cnf(d5,plain,
( p2(X1)
| p1(sK14(sK31))
| p1(X0)
| ~ r1(sK4,X1)
| ~ r1(sK4,X0) ),
inference(resolution,[status(thm)],[c17,d4]) ).
cnf(d6,plain,
( p2(X0)
| p1(sK14(sK31))
| p1(sK34)
| ~ r1(sK4,X0) ),
inference(resolution,[status(thm)],[d5,c18]) ).
cnf(d7,plain,
( p2(X0)
| p1(sK14(sK31))
| ~ r1(sK4,X0) ),
inference(resolution,[status(thm)],[c19,d6]) ).
cnf(d8,plain,
( p2(sK29)
| p1(sK14(sK31)) ),
inference(resolution,[status(thm)],[d7,c11]) ).
cnf(d9,plain,
p1(sK14(sK31)),
inference(resolution,[status(thm)],[c12,d8]) ).
cnf(d10,plain,
( p2(X3)
| p1(X4)
| p1(X1)
| ~ r1(sK4,X2)
| ~ r1(sK4,X4)
| ~ r1(sK4,X3)
| ~ r1(X2,X0)
| ~ r1(X0,sK31)
| ~ r1(X0,X1) ),
inference(resolution,[status(thm)],[d9,c5]) ).
cnf(d11,plain,
( p2(X3)
| p1(X1)
| p1(X2)
| ~ r1(sK4,X3)
| ~ r1(sK4,X2)
| ~ r1(X0,sK31)
| ~ r1(X0,X1)
| ~ r1(sK30,X0) ),
inference(resolution,[status(thm)],[d10,c13]) ).
cnf(d12,plain,
( p2(X1)
| p1(X0)
| p1(X2)
| ~ r1(sK4,X2)
| ~ r1(sK4,X1)
| ~ r1(sK30,sK31)
| ~ r1(sK30,X0) ),
inference(resolution,[status(thm)],[d11,c0]) ).
cnf(d13,plain,
( p2(X1)
| p1(X2)
| p1(X0)
| ~ r1(sK30,X2)
| ~ r1(sK4,X1)
| ~ r1(sK4,X0) ),
inference(resolution,[status(thm)],[c14,d12]) ).
cnf(d14,plain,
( p2(X0)
| p1(X1)
| p1(sK33)
| ~ r1(sK4,X1)
| ~ r1(sK4,X0) ),
inference(resolution,[status(thm)],[d13,c16]) ).
cnf(d15,plain,
( p2(X1)
| p1(X0)
| ~ r1(sK4,X1)
| ~ r1(sK4,X0) ),
inference(resolution,[status(thm)],[c17,d14]) ).
cnf(d16,plain,
( p2(X0)
| p1(sK34)
| ~ r1(sK4,X0) ),
inference(resolution,[status(thm)],[d15,c18]) ).
cnf(d17,plain,
( p2(X0)
| ~ r1(sK4,X0) ),
inference(resolution,[status(thm)],[c19,d16]) ).
cnf(d18,plain,
p2(sK29),
inference(resolution,[status(thm)],[d17,c11]) ).
cnf(d19,plain,
$false,
inference(resolution,[status(thm)],[c12,d18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL672+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n006.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 : Fri Sep 25 23:12:26 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 26.08/4.10 % SZS status Theorem for theBenchmark.p
% 26.08/4.10 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------