%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : ROB008-1 : 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 : n003.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 10.96s 2.61s
% Output : CNFRefutation 10.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of clauses : 13 ( 13 unt; 0 nHn; 7 RR)
% Number of literals : 13 ( 12 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 : 16 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(condition,hypothesis,
negate(add(a,negate(add(b,c)))) = negate(add(a,add(b,negate(c)))) ).
cnf(prove_result,negated_conjecture,
add(a,b) != a ).
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(a,add(b,negate(c)))),
inference(clausification,[status(esa)],[condition]) ).
cnf(c1,plain,
add(a,b) != a,
inference(clausification,[status(esa)],[prove_result]) ).
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,
negate(add(negate(add(X0,add(X1,X2))),negate(add(add(X0,X1),negate(X2))))) = add(X0,X1),
inference(superposition,[status(thm)],[c3,c4]) ).
cnf(d1,plain,
negate(add(negate(add(X0,add(X1,X2))),negate(add(X0,add(X1,negate(X2)))))) = add(X0,X1),
inference(demodulation,[status(thm)],[d0,c3]) ).
cnf(d2,plain,
negate(add(negate(add(a,add(b,c))),negate(add(a,add(b,negate(c)))))) = a,
inference(superposition,[status(thm)],[c0,c4]) ).
cnf(d3,plain,
add(a,b) = a,
inference(demodulation,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[c1,d3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ROB008-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.36 % Computer : n003.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8046.5625MB
% 0.12/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.37 % DateTime : Sat Sep 26 06:16:09 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.96/2.61 % SZS status Unsatisfiable for theBenchmark.p
% 10.96/2.61 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------