%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : ROB008-1 : 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 3.98s 1.37s
% Output : CNFRefutation 3.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 6
% Syntax : Number of clauses : 36 ( 36 unt; 0 nHn; 22 RR)
% Number of literals : 36 ( 35 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 28 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t0,axiom,
add(X1,X2) = add(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t9,plain,
add(X1,X2) = add(X2,X1),
inference(orient,[status(thm)],[t0]) ).
cnf(t2,axiom,
negate(add(negate(add(X1,X2)),negate(add(X1,negate(X2))))) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t5,plain,
negate(add(negate(add(X1,X2)),negate(add(X1,negate(X2))))) = X1,
inference(orient,[status(thm)],[t2]) ).
cnf(t10,plain,
X1 = negate(add(negate(add(X2,X1)),negate(add(X1,negate(X2))))),
inference(cp,[status(thm)],[t5,t9]) ).
cnf(t158,plain,
negate(add(negate(add(X1,X2)),negate(add(X2,negate(X1))))) = X2,
inference(orient,[status(thm)],[t10]) ).
cnf(t3,axiom,
negate(add(a,negate(add(b,c)))) = negate(add(a,add(b,negate(c)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t198,plain,
negate(add(a,negate(add(c,b)))) = negate(add(a,add(b,negate(c)))),
inference(step,[status(thm)],[t3,t9]) ).
cnf(t20,plain,
negate(add(a,negate(add(c,b)))) = negate(add(a,add(b,negate(c)))),
inference(orient,[status(thm)],[t198]) ).
cnf(t1,axiom,
add(add(X1,X2),X3) = add(X1,add(X2,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t12,plain,
add(add(X1,X2),X3) = add(X1,add(X2,X3)),
inference(orient,[status(thm)],[t1]) ).
cnf(t13,plain,
add(X1,add(X2,X3)) = add(X3,add(X1,X2)),
inference(cp,[status(thm)],[t12,t9]) ).
cnf(t51,plain,
add(X1,add(X2,X3)) = add(X3,add(X1,X2)),
inference(orient,[status(thm)],[t13]) ).
cnf(t201,plain,
negate(add(a,negate(add(c,b)))) = negate(add(b,add(negate(c),a))),
inference(step,[status(thm)],[t20,t51]) ).
cnf(t4,axiom,
sFlat0 = add(a,b),
introduced(definition) ).
cnf(t197,plain,
sFlat0 = add(b,a),
inference(step,[status(thm)],[t4,t9]) ).
cnf(t17,plain,
add(b,a) = sFlat0,
inference(orient,[status(thm)],[t197]) ).
cnf(t18,plain,
add(b,add(a,X1)) = add(sFlat0,X1),
inference(cp,[status(thm)],[t12,t17]) ).
cnf(t24,plain,
add(b,add(a,X1)) = add(sFlat0,X1),
inference(orient,[status(thm)],[t18]) ).
cnf(t25,plain,
add(sFlat0,X1) = add(b,add(X1,a)),
inference(cp,[status(thm)],[t24,t9]) ).
cnf(t27,plain,
add(b,add(X1,a)) = add(sFlat0,X1),
inference(orient,[status(thm)],[t25]) ).
cnf(t202,plain,
negate(add(a,negate(add(c,b)))) = negate(add(sFlat0,negate(c))),
inference(step,[status(thm)],[t201,t27]) ).
cnf(t52,plain,
negate(add(a,negate(add(c,b)))) = negate(add(sFlat0,negate(c))),
inference(orient,[status(thm)],[t202]) ).
cnf(t175,plain,
a = negate(add(negate(add(add(c,b),a)),negate(add(sFlat0,negate(c))))),
inference(cp,[status(thm)],[t158,t52]) ).
cnf(t207,plain,
a = negate(add(negate(add(sFlat0,negate(c))),negate(add(add(c,b),a)))),
inference(step,[status(thm)],[t175,t9]) ).
cnf(t208,plain,
a = negate(add(negate(add(sFlat0,negate(c))),negate(add(c,add(b,a))))),
inference(step,[status(thm)],[t207,t12]) ).
cnf(t209,plain,
a = negate(add(negate(add(sFlat0,negate(c))),negate(add(c,sFlat0)))),
inference(step,[status(thm)],[t208,t17]) ).
cnf(t210,plain,
a = negate(add(negate(add(sFlat0,negate(c))),negate(add(sFlat0,c)))),
inference(step,[status(thm)],[t209,t9]) ).
cnf(t211,plain,
a = negate(add(negate(add(sFlat0,c)),negate(add(sFlat0,negate(c))))),
inference(step,[status(thm)],[t210,t9]) ).
cnf(t212,plain,
a = sFlat0,
inference(step,[status(thm)],[t211,t5]) ).
cnf(t187,plain,
a = sFlat0,
inference(orient,[status(thm)],[t212]) ).
cnf(goal_0,negated_conjecture,
add(a,b) != a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
add(a,b) != add(b,a),
inference(rw,[status(thm)],[goal_0,t9]) ).
cnf(g0_1,plain,
add(a,b) != sFlat0,
inference(rw,[status(thm)],[g0_0]) ).
cnf(g0_2,plain,
sFlat0 != sFlat0,
inference(rw,[status(thm)],[g0_1,t187]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ROB008-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/0.76 % Computer : n008.cluster.edu
% 0.11/0.76 % Model : x86_64 x86_64
% 0.11/0.76 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.76 % Memory : 8046.5625MB
% 0.11/0.76 % OS : Linux 6.8.0-71-generic
% 0.11/0.76 % CPULimit : 300
% 0.11/0.76 % WCLimit : 300
% 0.11/0.76 % DateTime : Thu Sep 24 08:26:29 UTC 2026
% 0.11/0.77 % CPUTime :
% 0.11/0.77 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.98/1.37 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.98/1.37 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------