%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : ROB021-1 : TPTP v9.3.1. Released v1.0.0.
% 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 08:26:51 AM UTC 2026
% Result : Unsatisfiable 34.53s 16.04s
% Output : CNFRefutation 34.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of clauses : 14 ( 11 unt; 0 nHn; 6 RR)
% Number of literals : 17 ( 16 equ; 6 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 21 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(negative_equality_implies_positive_equality,hypothesis,
( X0 = X1
| negate(X0) != negate(X1) ) ).
cnf(prove_huntingtons_axiom,negated_conjecture,
add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))) != b ).
cnf(commutativity_of_add,axiom,
add(X0,X1) = add(X1,X0) ).
cnf(robbins_axiom,axiom,
negate(add(negate(add(X0,X1)),negate(add(X0,negate(X1))))) = X0 ).
cnf(c0,plain,
( X0 = X1
| negate(X0) != negate(X1) ),
inference(clausification,[status(esa)],[negative_equality_implies_positive_equality]) ).
cnf(c1,plain,
add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))) != b,
inference(clausification,[status(esa)],[prove_huntingtons_axiom]) ).
cnf(c2,plain,
add(X0,X1) = add(X1,X0),
inference(clausification,[status(esa)],[commutativity_of_add]) ).
cnf(c4,plain,
negate(add(negate(add(X0,X1)),negate(add(X0,negate(X1))))) = X0,
inference(clausification,[status(esa)],[robbins_axiom]) ).
cnf(d0,plain,
( X2 = add(negate(add(X0,X1)),negate(add(X0,negate(X1))))
| negate(X2) != X0 ),
inference(superposition,[status(thm)],[c4,c0]) ).
cnf(d1,plain,
X0 = add(negate(add(negate(X0),X1)),negate(add(negate(X0),negate(X1)))),
inference(equality_resolution,[status(thm)],[d0]) ).
cnf(d2,plain,
X0 = add(negate(add(X1,negate(X0))),negate(add(negate(X0),negate(X1)))),
inference(superposition,[status(thm)],[c2,d1]) ).
cnf(d3,plain,
X0 = add(negate(add(X1,negate(X0))),negate(add(negate(X1),negate(X0)))),
inference(superposition,[status(thm)],[c2,d2]) ).
cnf(d4,plain,
b != b,
inference(demodulation,[status(thm)],[c1,d3]) ).
cnf(d5,plain,
$false,
inference(equality_resolution,[status(thm)],[d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ROB021-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/10.81 % Computer : n006.cluster.edu
% 0.10/10.81 % Model : x86_64 x86_64
% 0.10/10.81 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.81 % Memory : 8046.5625MB
% 0.10/10.81 % OS : Linux 6.8.0-71-generic
% 0.10/10.81 % CPULimit : 300
% 0.10/10.81 % WCLimit : 300
% 0.10/10.81 % DateTime : Sat Sep 26 06:16:10 UTC 2026
% 0.10/10.81 % CPUTime :
% 0.10/10.81 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 34.53/16.04 % SZS status Unsatisfiable for theBenchmark.p
% 34.53/16.04 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------