%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : ROB011-1 : 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 08:26:50 AM UTC 2026
% Result : Unsatisfiable 11.21s 1.84s
% Output : CNFRefutation 11.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of clauses : 24 ( 24 unt; 0 nHn; 15 RR)
% Number of literals : 24 ( 23 equ; 6 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 : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 19 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(condition,hypothesis,
negate(add(a,negate(b))) = c ).
cnf(prove_base_step,negated_conjecture,
negate(add(a,negate(add(b,multiply(one,add(a,c)))))) != c ).
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(one_times_x,axiom,
multiply(one,X0) = X0 ).
cnf(c0,plain,
negate(add(a,negate(b))) = c,
inference(clausification,[status(esa)],[condition]) ).
cnf(c1,plain,
negate(add(a,negate(add(b,multiply(one,add(a,c)))))) != c,
inference(clausification,[status(esa)],[prove_base_step]) ).
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(c5,plain,
multiply(one,X0) = X0,
inference(clausification,[status(esa)],[one_times_x]) ).
cnf(d0,plain,
add(X0,add(X1,X2)) = add(X2,add(X0,X1)),
inference(superposition,[status(thm)],[c3,c2]) ).
cnf(d1,plain,
negate(add(negate(add(a,b)),c)) = a,
inference(superposition,[status(thm)],[c0,c4]) ).
cnf(d2,plain,
negate(add(c,negate(add(a,b)))) = a,
inference(demodulation,[status(thm)],[d1,c2]) ).
cnf(d3,plain,
negate(add(negate(add(c,add(a,b))),a)) = c,
inference(superposition,[status(thm)],[d2,c4]) ).
cnf(d4,plain,
negate(add(a,negate(add(c,add(a,b))))) = c,
inference(demodulation,[status(thm)],[d3,c2]) ).
cnf(d5,plain,
negate(add(a,negate(add(a,add(b,c))))) = c,
inference(demodulation,[status(thm)],[d4,d0]) ).
cnf(d6,plain,
negate(add(a,negate(add(a,add(c,b))))) = c,
inference(demodulation,[status(thm)],[d5,c2]) ).
cnf(d7,plain,
negate(add(a,negate(add(b,add(a,c))))) != c,
inference(demodulation,[status(thm)],[c1,c5]) ).
cnf(d8,plain,
negate(add(a,negate(add(c,add(b,a))))) != c,
inference(demodulation,[status(thm)],[d7,d0]) ).
cnf(d9,plain,
negate(add(a,negate(add(a,add(c,b))))) != c,
inference(demodulation,[status(thm)],[d8,d0]) ).
cnf(d10,plain,
c != c,
inference(demodulation,[status(thm)],[d9,d6]) ).
cnf(d11,plain,
$false,
inference(equality_resolution,[status(thm)],[d10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ROB011-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n002.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sat Sep 26 06:17:24 UTC 2026
% 0.02/0.36 % CPUTime :
% 0.02/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.21/1.84 % SZS status Unsatisfiable for theBenchmark.p
% 11.21/1.84 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------