%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : ROB009-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n008.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 : Fri Sep 25 02:39:35 PM UTC 2026
% Result : Unsatisfiable 0.13s 5.83s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 5
% Syntax : Number of clauses : 32 ( 32 unt; 0 nHn; 17 RR)
% Number of literals : 32 ( 31 equ; 8 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 : 39 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t2,axiom,
negate(add(negate(add(X1,X2)),negate(add(X1,negate(X2))))) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t4,plain,
negate(add(negate(add(X1,X2)),negate(add(X1,negate(X2))))) = X1,
inference(orient,[status(thm)],[t2]) ).
cnf(t3,axiom,
negate(add(b,negate(add(a,c)))) = negate(add(a,negate(add(b,c)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t0,axiom,
add(X1,X2) = add(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t8,plain,
add(X1,X2) = add(X2,X1),
inference(orient,[status(thm)],[t0]) ).
cnf(t558,plain,
negate(add(b,negate(add(c,a)))) = negate(add(a,negate(add(b,c)))),
inference(step,[status(thm)],[t3,t8]) ).
cnf(t559,plain,
negate(add(b,negate(add(c,a)))) = negate(add(a,negate(add(c,b)))),
inference(step,[status(thm)],[t558,t8]) ).
cnf(t16,plain,
negate(add(a,negate(add(c,b)))) = negate(add(b,negate(add(c,a)))),
inference(orient,[status(thm)],[t559]) ).
cnf(t18,plain,
a = negate(add(negate(add(a,add(c,b))),negate(add(b,negate(add(c,a)))))),
inference(cp,[status(thm)],[t4,t16]) ).
cnf(t1,axiom,
add(add(X1,X2),X3) = add(X1,add(X2,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t11,plain,
add(add(X1,X2),X3) = add(X1,add(X2,X3)),
inference(orient,[status(thm)],[t1]) ).
cnf(t12,plain,
add(X1,add(X2,X3)) = add(X3,add(X1,X2)),
inference(cp,[status(thm)],[t11,t8]) ).
cnf(t20,plain,
add(X1,add(X2,X3)) = add(X3,add(X1,X2)),
inference(orient,[status(thm)],[t12]) ).
cnf(t31,plain,
add(X1,add(X2,X3)) = add(X3,add(X2,X1)),
inference(cp,[status(thm)],[t20,t8]) ).
cnf(t51,plain,
add(X1,add(X2,X3)) = add(X3,add(X2,X1)),
inference(orient,[status(thm)],[t31]) ).
cnf(t577,plain,
a = negate(add(negate(add(b,add(c,a))),negate(add(b,negate(add(c,a)))))),
inference(step,[status(thm)],[t18,t51]) ).
cnf(t13,plain,
add(X1,add(X2,X3)) = add(add(X2,X1),X3),
inference(cp,[status(thm)],[t11,t8]) ).
cnf(t560,plain,
add(X1,add(X2,X3)) = add(X2,add(X1,X3)),
inference(step,[status(thm)],[t13,t11]) ).
cnf(t37,plain,
add(X1,add(X2,X3)) = add(X2,add(X1,X3)),
inference(orient,[status(thm)],[t560]) ).
cnf(t578,plain,
a = negate(add(negate(add(c,add(b,a))),negate(add(b,negate(add(c,a)))))),
inference(step,[status(thm)],[t577,t37]) ).
cnf(t529,plain,
negate(add(negate(add(c,add(b,a))),negate(add(b,negate(add(c,a)))))) = a,
inference(orient,[status(thm)],[t578]) ).
cnf(t10,plain,
X1 = negate(add(negate(add(X1,X2)),negate(add(negate(X2),X1)))),
inference(cp,[status(thm)],[t4,t8]) ).
cnf(t88,plain,
negate(add(negate(add(X1,X2)),negate(add(negate(X2),X1)))) = X1,
inference(orient,[status(thm)],[t10]) ).
cnf(goal_0,negated_conjecture,
b != a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
negate(add(negate(add(c,add(b,a))),negate(add(b,negate(add(c,a)))))) != a,
inference(rw,[status(thm)],[goal_0,t529]) ).
cnf(g0_1,plain,
negate(add(negate(add(c,add(b,a))),negate(add(b,negate(add(a,c)))))) != a,
inference(rw,[status(thm)],[g0_0,t8]) ).
cnf(g0_2,plain,
negate(add(negate(add(c,add(b,a))),negate(add(negate(add(a,c)),b)))) != a,
inference(rw,[status(thm)],[g0_1,t8]) ).
cnf(g0_3,plain,
negate(add(negate(add(c,add(a,b))),negate(add(negate(add(a,c)),b)))) != a,
inference(rw,[status(thm)],[g0_2,t8]) ).
cnf(g0_4,plain,
negate(add(negate(add(c,add(a,b))),negate(add(negate(add(c,a)),b)))) != a,
inference(rw,[status(thm)],[g0_3,t8]) ).
cnf(g0_5,plain,
negate(add(negate(add(b,add(c,a))),negate(add(negate(add(c,a)),b)))) != a,
inference(rw,[status(thm)],[g0_4,t20]) ).
cnf(g0_6,plain,
b != a,
inference(rw,[status(thm)],[g0_5,t88]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ROB009-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/5.37 % Computer : n008.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Thu Sep 24 08:26:46 UTC 2026
% 0.10/5.37 % CPUTime :
% 0.10/5.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.13/5.83 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/5.83 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------