%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : COM007+2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.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 06:58:41 AM UTC 2026
% Result : Theorem 6.08s 1.71s
% Output : CNFRefutation 6.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 34 ( 10 unt; 0 def)
% Number of atoms : 74 ( 18 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 66 ( 26 ~; 31 |; 4 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 32 ( 0 sgn 10 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(assumption,axiom,
( 'reflexive$urewrite'(a,c)
& 'reflexive$urewrite'(a,b) ) ).
fof(goal_ax,axiom,
! [X0] :
( ( 'reflexive$urewrite'(c,X0)
& 'reflexive$urewrite'(b,X0) )
=> goal ) ).
fof(equal_in_reflexive_rewrite,axiom,
! [X0,X1] :
( X0 = X1
=> 'reflexive$urewrite'(X0,X1) ) ).
fof(rewrite_in_reflexive_rewrite,axiom,
! [X0,X1] :
( rewrite(X0,X1)
=> 'reflexive$urewrite'(X0,X1) ) ).
fof(equal_or_rewrite,axiom,
! [X0,X1] :
( 'reflexive$urewrite'(X0,X1)
=> ( rewrite(X0,X1)
| X0 = X1 ) ) ).
fof(rewrite_diamond,axiom,
! [X0,X1,X2] :
( ( rewrite(X0,X2)
& rewrite(X0,X1) )
=> ? [X3] :
( rewrite(X2,X3)
& rewrite(X1,X3) ) ) ).
fof(goal_to_be_proved,conjecture,
goal ).
fof(negated_conjecture,negated_conjecture,
~ goal,
inference(negate_conjecture,[status(cth)],[goal_to_be_proved]) ).
cnf(c0,plain,
'reflexive$urewrite'(a,b),
inference(clausification,[status(esa)],[assumption]) ).
cnf(c1,plain,
'reflexive$urewrite'(a,c),
inference(clausification,[status(esa)],[assumption]) ).
cnf(c2,plain,
( goal
| ~ 'reflexive$urewrite'(c,X0)
| ~ 'reflexive$urewrite'(b,X0) ),
inference(clausification,[status(esa)],[goal_ax]) ).
cnf(c3,plain,
( 'reflexive$urewrite'(X0,X1)
| X0 != X1 ),
inference(clausification,[status(esa)],[equal_in_reflexive_rewrite]) ).
cnf(c4,plain,
( 'reflexive$urewrite'(X0,X1)
| ~ rewrite(X0,X1) ),
inference(clausification,[status(esa)],[rewrite_in_reflexive_rewrite]) ).
cnf(c5,plain,
( rewrite(X0,X1)
| X0 = X1
| ~ 'reflexive$urewrite'(X0,X1) ),
inference(clausification,[status(esa)],[equal_or_rewrite]) ).
cnf(c6,plain,
( rewrite(X1,sK10(X1,X2))
| ~ rewrite(X0,X2)
| ~ rewrite(X0,X1) ),
inference(clausification,[status(esa)],[rewrite_diamond]) ).
cnf(c7,plain,
( rewrite(X2,sK10(X1,X2))
| ~ rewrite(X0,X2)
| ~ rewrite(X0,X1) ),
inference(clausification,[status(esa)],[rewrite_diamond]) ).
cnf(c8,plain,
~ goal,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
'reflexive$urewrite'(X0,X0),
inference(equality_resolution,[status(thm)],[c3]) ).
cnf(d1,plain,
( ~ 'reflexive$urewrite'(c,X0)
| ~ 'reflexive$urewrite'(b,X0) ),
inference(resolution,[status(thm)],[c8,c2]) ).
cnf(d2,plain,
( rewrite(a,b)
| a = b ),
inference(resolution,[status(thm)],[c5,c0]) ).
cnf(d3,plain,
( rewrite(a,c)
| a = c ),
inference(resolution,[status(thm)],[c5,c1]) ).
cnf(d4,plain,
( ~ rewrite(a,X0)
| rewrite(c,sK10(c,X0))
| a = c ),
inference(resolution,[status(thm)],[d3,c6]) ).
cnf(d5,plain,
( 'reflexive$urewrite'(c,sK10(c,X0))
| ~ rewrite(a,X0)
| a = c ),
inference(resolution,[status(thm)],[d4,c4]) ).
cnf(d6,plain,
( ~ 'reflexive$urewrite'(b,sK10(c,X0))
| ~ rewrite(a,X0)
| a = c ),
inference(resolution,[status(thm)],[d5,d1]) ).
cnf(d7,plain,
( a = c
| ~ rewrite(a,X0)
| rewrite(X0,sK10(c,X0)) ),
inference(resolution,[status(thm)],[c7,d3]) ).
cnf(d8,plain,
( 'reflexive$urewrite'(X0,sK10(c,X0))
| ~ rewrite(a,X0)
| a = c ),
inference(resolution,[status(thm)],[d7,c4]) ).
cnf(d9,plain,
( ~ rewrite(a,b)
| a = c
| ~ rewrite(a,b)
| a = c ),
inference(resolution,[status(thm)],[d8,d6]) ).
cnf(d10,plain,
( a = b
| a = c ),
inference(resolution,[status(thm)],[d9,d2]) ).
cnf(d11,plain,
( a = b
| ~ 'reflexive$urewrite'(b,X0)
| ~ 'reflexive$urewrite'(a,X0) ),
inference(superposition,[status(thm)],[d10,d1]) ).
cnf(d12,plain,
( ~ 'reflexive$urewrite'(a,b)
| a = b ),
inference(resolution,[status(thm)],[d11,d0]) ).
cnf(d13,plain,
a = b,
inference(resolution,[status(thm)],[c0,d12]) ).
cnf(d14,plain,
~ 'reflexive$urewrite'(b,c),
inference(resolution,[status(thm)],[d0,d1]) ).
cnf(d15,plain,
~ 'reflexive$urewrite'(a,c),
inference(demodulation,[status(thm)],[d14,d13]) ).
cnf(d16,plain,
$false,
inference(resolution,[status(thm)],[c1,d15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM007+2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n014.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sat Sep 26 23:20:16 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.08/1.71 % SZS status Theorem for theBenchmark.p
% 6.08/1.71 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------