%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : BOO017-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 06:54:42 AM UTC 2026
% Result : Unsatisfiable 21.58s 3.27s
% Output : CNFRefutation 21.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of clauses : 40 ( 40 unt; 0 nHn; 8 RR)
% Number of literals : 40 ( 39 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 59 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(x_times_y,hypothesis,
add(x,y) = z ).
cnf(prove_sum,negated_conjecture,
multiply(x,z) != x ).
cnf(commutativity_of_add,axiom,
add(X0,X1) = add(X1,X0) ).
cnf(commutativity_of_multiply,axiom,
multiply(X0,X1) = multiply(X1,X0) ).
cnf(distributivity1,axiom,
add(multiply(X0,X1),X2) = multiply(add(X0,X2),add(X1,X2)) ).
cnf(distributivity3,axiom,
multiply(add(X0,X1),X2) = add(multiply(X0,X2),multiply(X1,X2)) ).
cnf(distributivity4,axiom,
multiply(X0,add(X1,X2)) = add(multiply(X0,X1),multiply(X0,X2)) ).
cnf(multiplicative_inverse1,axiom,
multiply(X0,inverse(X0)) = 'additive$uidentity' ).
cnf(multiplicative_id1,axiom,
multiply(X0,'multiplicative$uidentity') = X0 ).
cnf(additive_id1,axiom,
add(X0,'additive$uidentity') = X0 ).
cnf(additive_id2,axiom,
add('additive$uidentity',X0) = X0 ).
cnf(c0,plain,
add(x,y) = z,
inference(clausification,[status(esa)],[x_times_y]) ).
cnf(c1,plain,
multiply(x,z) != x,
inference(clausification,[status(esa)],[prove_sum]) ).
cnf(c2,plain,
add(X0,X1) = add(X1,X0),
inference(clausification,[status(esa)],[commutativity_of_add]) ).
cnf(c3,plain,
multiply(X0,X1) = multiply(X1,X0),
inference(clausification,[status(esa)],[commutativity_of_multiply]) ).
cnf(c4,plain,
add(multiply(X0,X1),X2) = multiply(add(X0,X2),add(X1,X2)),
inference(clausification,[status(esa)],[distributivity1]) ).
cnf(c6,plain,
multiply(add(X0,X1),X2) = add(multiply(X0,X2),multiply(X1,X2)),
inference(clausification,[status(esa)],[distributivity3]) ).
cnf(c7,plain,
multiply(X0,add(X1,X2)) = add(multiply(X0,X1),multiply(X0,X2)),
inference(clausification,[status(esa)],[distributivity4]) ).
cnf(c10,plain,
multiply(X0,inverse(X0)) = 'additive$uidentity',
inference(clausification,[status(esa)],[multiplicative_inverse1]) ).
cnf(c12,plain,
multiply(X0,'multiplicative$uidentity') = X0,
inference(clausification,[status(esa)],[multiplicative_id1]) ).
cnf(c14,plain,
add(X0,'additive$uidentity') = X0,
inference(clausification,[status(esa)],[additive_id1]) ).
cnf(c15,plain,
add('additive$uidentity',X0) = X0,
inference(clausification,[status(esa)],[additive_id2]) ).
cnf(d0,plain,
multiply(X0,add(inverse(X0),X1)) = add('additive$uidentity',multiply(X0,X1)),
inference(superposition,[status(thm)],[c10,c7]) ).
cnf(d1,plain,
multiply(X0,add(inverse(X0),X1)) = multiply(X0,X1),
inference(demodulation,[status(thm)],[d0,c15]) ).
cnf(d2,plain,
X0 = add(X0,'additive$uidentity'),
inference(superposition,[status(thm)],[c15,c2]) ).
cnf(d3,plain,
multiply(X0,inverse(X0)) = multiply(X0,'additive$uidentity'),
inference(superposition,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
'additive$uidentity' = multiply(X0,'additive$uidentity'),
inference(demodulation,[status(thm)],[d3,c10]) ).
cnf(d5,plain,
add(multiply(X0,X2),X1) = multiply(add(X1,X0),add(X2,X1)),
inference(superposition,[status(thm)],[c2,c4]) ).
cnf(d6,plain,
X0 = add('additive$uidentity',X0),
inference(superposition,[status(thm)],[c14,c2]) ).
cnf(d7,plain,
add(multiply(X1,'additive$uidentity'),X0) = multiply(add(X0,X1),X0),
inference(superposition,[status(thm)],[d6,d5]) ).
cnf(d8,plain,
add('additive$uidentity',X1) = multiply(add(X1,X0),X1),
inference(demodulation,[status(thm)],[d7,d4]) ).
cnf(d9,plain,
X0 = multiply(add(X0,X1),X0),
inference(demodulation,[status(thm)],[d8,c15]) ).
cnf(d10,plain,
X0 = multiply(X0,add(X0,X1)),
inference(demodulation,[status(thm)],[d9,c3]) ).
cnf(d11,plain,
multiply(add(X0,X1),'multiplicative$uidentity') = add(X0,multiply(X1,'multiplicative$uidentity')),
inference(superposition,[status(thm)],[c12,c6]) ).
cnf(d12,plain,
add(X0,X1) = add(X0,multiply(X1,'multiplicative$uidentity')),
inference(demodulation,[status(thm)],[d11,c12]) ).
cnf(d13,plain,
add(X1,X0) = add(X1,X0),
inference(demodulation,[status(thm)],[d12,c12]) ).
cnf(d14,plain,
z = add(x,y),
inference(superposition,[status(thm)],[c0,d13]) ).
cnf(d15,plain,
x = multiply(x,z),
inference(superposition,[status(thm)],[d14,d10]) ).
cnf(d16,plain,
x != x,
inference(demodulation,[status(thm)],[c1,d15]) ).
cnf(d17,plain,
$false,
inference(equality_resolution,[status(thm)],[d16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO017-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n004.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 26 22:36:51 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 21.58/3.27 % SZS status Unsatisfiable for theBenchmark.p
% 21.58/3.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------