%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : ROB009-1 : 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 : n002.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 08:26:49 AM UTC 2026
% Result : Unsatisfiable 12.58s 2.19s
% Output : CNFRefutation 12.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of clauses : 16 ( 16 unt; 0 nHn; 8 RR)
% Number of literals : 16 ( 15 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 20 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(condition,hypothesis,
negate(add(a,negate(add(b,c)))) = negate(add(b,negate(add(a,c)))) ).
cnf(prove_result,negated_conjecture,
a != b ).
cnf(commutativity_of_add,axiom,
add(X0,X1) = add(X1,X0) ).
cnf(associativity_of_add,axiom,
add(add(X0,X1),X2) = add(X0,add(X1,X2)) ).
cnf(robbins_axiom,axiom,
negate(add(negate(add(X0,X1)),negate(add(X0,negate(X1))))) = X0 ).
cnf(c0,plain,
negate(add(a,negate(add(b,c)))) = negate(add(b,negate(add(a,c)))),
inference(clausification,[status(esa)],[condition]) ).
cnf(c1,plain,
a != b,
inference(clausification,[status(esa)],[prove_result]) ).
cnf(c2,plain,
add(X0,X1) = add(X1,X0),
inference(clausification,[status(esa)],[commutativity_of_add]) ).
cnf(c3,plain,
add(add(X0,X1),X2) = add(X0,add(X1,X2)),
inference(clausification,[status(esa)],[associativity_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,
add(X0,add(X1,X2)) = add(X2,add(X0,X1)),
inference(superposition,[status(thm)],[c3,c2]) ).
cnf(d1,plain,
add(X2,add(X1,X0)) = add(X1,add(X2,X0)),
inference(superposition,[status(thm)],[c2,d0]) ).
cnf(d2,plain,
negate(add(negate(add(b,add(a,c))),negate(add(a,negate(add(b,c)))))) = b,
inference(superposition,[status(thm)],[c0,c4]) ).
cnf(d3,plain,
negate(add(negate(add(a,add(b,c))),negate(add(a,negate(add(b,c)))))) = b,
inference(demodulation,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
a = b,
inference(demodulation,[status(thm)],[d3,c4]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[c1,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ROB009-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.39 % Computer : n002.cluster.edu
% 0.08/0.39 % Model : x86_64 x86_64
% 0.08/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.39 % Memory : 8046.5625MB
% 0.08/0.39 % OS : Linux 6.8.0-71-generic
% 0.08/0.39 % CPULimit : 300
% 0.08/0.39 % WCLimit : 300
% 0.08/0.39 % DateTime : Sat Sep 26 06:17:08 UTC 2026
% 0.08/0.39 % CPUTime :
% 0.08/0.39 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.58/2.19 % SZS status Unsatisfiable for theBenchmark.p
% 12.58/2.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------