%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV415+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 09:02:17 AM UTC 2026
% Result : Theorem 32.98s 7.74s
% Output : CNFRefutation 32.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 30 ( 17 unt; 0 def)
% Number of atoms : 53 ( 52 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 42 ( 19 ~; 20 |; 1 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 25 ( 25 usr; 18 con; 0-3 aty)
% Number of variables : 159 ( 93 sgn 39 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(big2_induction,axiom,
( ( ! [X4] :
( ! [X5,X6,X7,X8] : i(triple(X5,X4,X7)) = i(triple(X6,X4,X8))
=> ! [X9,X10,X11,X12,X13,X14] : i(triple(X9,'insert$uslb'(X4,pair(X13,X14)),X11)) = i(triple(X10,'insert$uslb'(X4,pair(X13,X14)),X12)) )
& ! [X0,X1,X2,X3] : i(triple(X0,'create$uslb',X2)) = i(triple(X1,'create$uslb',X3)) )
=> ! [X15,X16,X17,X18,X19] : i(triple(X15,X17,X18)) = i(triple(X16,X17,X19)) ) ).
fof(ax42,axiom,
! [X0,X1,X2,X3] : 'insert$ucpq'(triple(X0,X1,X2),X3) = triple('insert$upqp'(X0,X3),'insert$uslb'(X1,pair(X3,bottom)),X2) ).
fof(ax54,axiom,
! [X0,X1] : i(triple(X0,'create$uslb',X1)) = 'create$upq' ).
fof(ax55,axiom,
! [X0,X1,X2,X3,X4] : i(triple(X0,'insert$uslb'(X1,pair(X3,X4)),X2)) = 'insert$upq'(i(triple(X0,X1,X2)),X3) ).
fof(co2,conjecture,
! [X0,X1,X2,X3] : i('insert$ucpq'(triple(X0,X1,X2),X3)) = 'insert$upq'(i(triple(X0,X1,X2)),X3) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2,X3] : i('insert$ucpq'(triple(X0,X1,X2),X3)) = 'insert$upq'(i(triple(X0,X1,X2)),X3),
inference(negate_conjecture,[status(cth)],[co2]) ).
cnf(c0,plain,
( i(triple(X4,X5,X6)) = i(triple(X7,X5,X8))
| i(triple(X0,sK4,X1)) = i(triple(X2,sK4,X3))
| i(triple(sK0,'create$uslb',sK2)) != i(triple(sK1,'create$uslb',sK3)) ),
inference(clausification,[status(esa)],[big2_induction]) ).
cnf(c1,plain,
( i(triple(X0,X1,X2)) = i(triple(X3,X1,X4))
| i(triple(sK9,'insert$uslb'(sK4,pair(sK13,sK14)),sK11)) != i(triple(sK10,'insert$uslb'(sK4,pair(sK13,sK14)),sK12))
| i(triple(sK0,'create$uslb',sK2)) != i(triple(sK1,'create$uslb',sK3)) ),
inference(clausification,[status(esa)],[big2_induction]) ).
cnf(c56,plain,
'insert$ucpq'(triple(X0,X1,X2),X3) = triple('insert$upqp'(X0,X3),'insert$uslb'(X1,pair(X3,bottom)),X2),
inference(clausification,[status(esa)],[ax42]) ).
cnf(c68,plain,
i(triple(X0,'create$uslb',X1)) = 'create$upq',
inference(clausification,[status(esa)],[ax54]) ).
cnf(c69,plain,
i(triple(X0,'insert$uslb'(X1,pair(X2,X3)),X4)) = 'insert$upq'(i(triple(X0,X1,X4)),X2),
inference(clausification,[status(esa)],[ax55]) ).
cnf(c88,plain,
i('insert$ucpq'(triple(sK187,sK188,sK189),sK190)) != 'insert$upq'(i(triple(sK187,sK188,sK189)),sK190),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( i(triple(sK9,'insert$uslb'(sK4,pair(sK13,sK14)),sK11)) != i(triple(sK10,'insert$uslb'(sK4,pair(sK13,sK14)),sK12))
| 'create$upq' != i(triple(sK1,'create$uslb',sK3))
| i(triple(X0,X1,X2)) = i(triple(X3,X1,X4)) ),
inference(demodulation,[status(thm)],[c1,c68]) ).
cnf(d1,plain,
( i(triple(sK9,'insert$uslb'(sK4,pair(sK13,sK14)),sK11)) != i(triple(sK10,'insert$uslb'(sK4,pair(sK13,sK14)),sK12))
| 'create$upq' != 'create$upq'
| i(triple(X0,X1,X2)) = i(triple(X3,X1,X4)) ),
inference(demodulation,[status(thm)],[d0,c68]) ).
cnf(d2,plain,
( 'create$upq' != 'create$upq'
| 'insert$upq'(i(triple(sK9,sK4,sK11)),sK13) != i(triple(sK10,'insert$uslb'(sK4,pair(sK13,sK14)),sK12))
| i(triple(X0,X1,X2)) = i(triple(X3,X1,X4)) ),
inference(demodulation,[status(thm)],[d1,c69]) ).
cnf(d3,plain,
( 'create$upq' != 'create$upq'
| 'insert$upq'(i(triple(sK9,sK4,sK11)),sK13) != 'insert$upq'(i(triple(sK10,sK4,sK12)),sK13)
| i(triple(X0,X1,X2)) = i(triple(X3,X1,X4)) ),
inference(demodulation,[status(thm)],[d2,c69]) ).
cnf(d4,plain,
i('insert$ucpq'(triple(X0,X2,X3),X1)) = 'insert$upq'(i(triple('insert$upqp'(X0,X1),X2,X3)),X1),
inference(superposition,[status(thm)],[c56,c69]) ).
cnf(d5,plain,
( 'create$upq' != i(triple(sK1,'create$uslb',sK3))
| i(triple(X4,X5,X6)) = i(triple(X7,X5,X8))
| i(triple(X0,sK4,X1)) = i(triple(X2,sK4,X3)) ),
inference(demodulation,[status(thm)],[c0,c68]) ).
cnf(d6,plain,
( 'create$upq' != 'create$upq'
| i(triple(X4,X5,X6)) = i(triple(X7,X5,X8))
| i(triple(X0,sK4,X1)) = i(triple(X2,sK4,X3)) ),
inference(demodulation,[status(thm)],[d5,c68]) ).
cnf(d7,plain,
( i(triple(X5,sK4,X6)) = i(triple(X7,sK4,X8))
| i(triple(X0,X1,X2)) = i(triple(X3,X1,X4)) ),
inference(equality_resolution,[status(thm)],[d6]) ).
cnf(d8,plain,
( i(triple(X2,sK4,X3)) = i(triple(X4,sK4,X5))
| i('insert$ucpq'(triple(sK187,sK188,sK189),sK190)) != 'insert$upq'(i(triple(X0,sK188,X1)),sK190) ),
inference(superposition,[status(thm)],[d7,c88]) ).
cnf(d9,plain,
( i(triple(X2,sK4,X3)) = i(triple(X4,sK4,X5))
| i('insert$ucpq'(triple(sK187,sK188,sK189),sK190)) != i('insert$ucpq'(triple(X0,sK188,X1),sK190)) ),
inference(superposition,[status(thm)],[d4,d8]) ).
cnf(d10,plain,
i(triple(X0,sK4,X1)) = i(triple(X2,sK4,X3)),
inference(equality_resolution,[status(thm)],[d9]) ).
cnf(d11,plain,
i('insert$ucpq'(triple(X0,sK4,X2),X1)) = 'insert$upq'(i(triple(X3,sK4,X4)),X1),
inference(superposition,[status(thm)],[d10,d4]) ).
cnf(d12,plain,
'insert$upq'(i(triple(X3,sK4,X4)),X2) = 'insert$upq'(i(triple(X5,sK4,X6)),X2),
inference(superposition,[status(thm)],[d11,d11]) ).
cnf(d13,plain,
( 'create$upq' != 'create$upq'
| i(triple(X0,X1,X2)) = i(triple(X3,X1,X4)) ),
inference(resolution,[status(thm)],[d12,d3]) ).
cnf(d14,plain,
i(triple(X0,X1,X2)) = i(triple(X3,X1,X4)),
inference(equality_resolution,[status(thm)],[d13]) ).
cnf(d15,plain,
i('insert$ucpq'(triple(sK187,sK188,sK189),sK190)) != 'insert$upq'(i(triple(X0,sK188,X1)),sK190),
inference(superposition,[status(thm)],[d14,c88]) ).
cnf(d16,plain,
i('insert$ucpq'(triple(X0,X2,X3),X1)) = 'insert$upq'(i(triple(X4,X2,X5)),X1),
inference(superposition,[status(thm)],[d14,d4]) ).
cnf(d17,plain,
$false,
inference(resolution,[status(thm)],[d16,d15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV415+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n017.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sat Sep 26 13:37:35 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 32.98/7.74 % SZS status Theorem for theBenchmark.p
% 32.98/7.74 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------