%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : ROB004-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/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 02:39:34 PM UTC 2026
% Result : Unsatisfiable 9.04s 1.82s
% Output : CNFRefutation 9.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 7
% Syntax : Number of clauses : 62 ( 62 unt; 0 nHn; 13 RR)
% Number of literals : 62 ( 61 equ; 5 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 9 ( 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 : 60 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t3,axiom,
add(X1,X2) = add(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t10,plain,
add(X1,X2) = add(X2,X1),
inference(orient,[status(thm)],[t3]) ).
cnf(t5,axiom,
negate(add(negate(add(X1,X2)),negate(add(X1,negate(X2))))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t6,plain,
negate(add(negate(add(X1,X2)),negate(add(X1,negate(X2))))) = X1,
inference(orient,[status(thm)],[t5]) ).
cnf(t0,axiom,
negate(d) = c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t24,plain,
negate(d) = c,
inference(orient,[status(thm)],[t0]) ).
cnf(t25,plain,
X1 = negate(add(negate(add(X1,d)),negate(add(X1,c)))),
inference(cp,[status(thm)],[t6,t24]) ).
cnf(t249,plain,
negate(add(negate(add(X1,d)),negate(add(X1,c)))) = X1,
inference(orient,[status(thm)],[t25]) ).
cnf(t251,plain,
X1 = negate(add(negate(add(d,X1)),negate(add(X1,c)))),
inference(cp,[status(thm)],[t249,t10]) ).
cnf(t288,plain,
negate(add(negate(add(d,X1)),negate(add(X1,c)))) = X1,
inference(orient,[status(thm)],[t251]) ).
cnf(t4,axiom,
add(add(X1,X2),X3) = add(X1,add(X2,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t13,plain,
add(add(X1,X2),X3) = add(X1,add(X2,X3)),
inference(orient,[status(thm)],[t4]) ).
cnf(t2,axiom,
add(c,d) = d,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t2975,plain,
add(d,c) = d,
inference(step,[status(thm)],[t2,t10]) ).
cnf(t21,plain,
add(d,c) = d,
inference(orient,[status(thm)],[t2975]) ).
cnf(t22,plain,
add(d,add(c,X1)) = add(d,X1),
inference(cp,[status(thm)],[t13,t21]) ).
cnf(t29,plain,
add(d,add(c,X1)) = add(d,X1),
inference(orient,[status(thm)],[t22]) ).
cnf(t30,plain,
add(d,X1) = add(d,add(X1,c)),
inference(cp,[status(thm)],[t29,t10]) ).
cnf(t37,plain,
add(d,add(X1,c)) = add(d,X1),
inference(orient,[status(thm)],[t30]) ).
cnf(t294,plain,
add(X1,c) = negate(add(negate(add(d,X1)),negate(add(add(X1,c),c)))),
inference(cp,[status(thm)],[t288,t37]) ).
cnf(t3000,plain,
add(X1,c) = negate(add(negate(add(d,X1)),negate(add(X1,add(c,c))))),
inference(step,[status(thm)],[t294,t13]) ).
cnf(t1,axiom,
add(c,c) = c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t18,plain,
add(c,c) = c,
inference(orient,[status(thm)],[t1]) ).
cnf(t3001,plain,
add(X1,c) = negate(add(negate(add(d,X1)),negate(add(X1,c)))),
inference(step,[status(thm)],[t3000,t18]) ).
cnf(t3002,plain,
add(X1,c) = X1,
inference(step,[status(thm)],[t3001,t288]) ).
cnf(t307,plain,
add(X1,c) = X1,
inference(orient,[status(thm)],[t3002]) ).
cnf(t308,plain,
X1 = add(c,X1),
inference(cp,[status(thm)],[t307,t10]) ).
cnf(t318,plain,
add(c,X1) = X1,
inference(orient,[status(thm)],[t308]) ).
cnf(t321,plain,
c = negate(add(negate(X1),negate(add(c,negate(X1))))),
inference(cp,[status(thm)],[t6,t318]) ).
cnf(t3012,plain,
c = negate(add(negate(X1),negate(negate(X1)))),
inference(step,[status(thm)],[t321,t318]) ).
cnf(t338,plain,
negate(add(negate(X1),negate(negate(X1)))) = c,
inference(orient,[status(thm)],[t3012]) ).
cnf(t339,plain,
c = negate(add(X1,negate(negate(add(negate(add(X1,X2)),negate(add(X1,negate(X2)))))))),
inference(cp,[status(thm)],[t338,t6]) ).
cnf(t3013,plain,
c = negate(add(X1,negate(X1))),
inference(step,[status(thm)],[t339,t6]) ).
cnf(t346,plain,
negate(add(X1,negate(X1))) = c,
inference(orient,[status(thm)],[t3013]) ).
cnf(t351,plain,
X1 = negate(add(c,negate(add(X1,negate(negate(X1)))))),
inference(cp,[status(thm)],[t6,t346]) ).
cnf(t3015,plain,
X1 = negate(negate(add(X1,negate(negate(X1))))),
inference(step,[status(thm)],[t351,t318]) ).
cnf(t365,plain,
negate(negate(add(X1,negate(negate(X1))))) = X1,
inference(orient,[status(thm)],[t3015]) ).
cnf(t352,plain,
X1 = negate(add(negate(add(X1,X1)),c)),
inference(cp,[status(thm)],[t6,t346]) ).
cnf(t3014,plain,
X1 = negate(negate(add(X1,X1))),
inference(step,[status(thm)],[t352,t307]) ).
cnf(t354,plain,
negate(negate(add(X1,X1))) = X1,
inference(orient,[status(thm)],[t3014]) ).
cnf(t369,plain,
add(X1,X1) = negate(negate(add(add(X1,X1),X1))),
inference(cp,[status(thm)],[t365,t354]) ).
cnf(t3032,plain,
add(X1,X1) = negate(negate(add(X1,add(X1,X1)))),
inference(step,[status(thm)],[t369,t13]) ).
cnf(t360,plain,
c = negate(add(negate(add(X1,X1)),X1)),
inference(cp,[status(thm)],[t346,t354]) ).
cnf(t3030,plain,
c = negate(add(X1,negate(add(X1,X1)))),
inference(step,[status(thm)],[t360,t10]) ).
cnf(t424,plain,
negate(add(X1,negate(add(X1,X1)))) = c,
inference(orient,[status(thm)],[t3030]) ).
cnf(t431,plain,
X1 = negate(add(negate(add(X1,add(X1,X1))),c)),
inference(cp,[status(thm)],[t6,t424]) ).
cnf(t3031,plain,
X1 = negate(negate(add(X1,add(X1,X1)))),
inference(step,[status(thm)],[t431,t307]) ).
cnf(t434,plain,
negate(negate(add(X1,add(X1,X1)))) = X1,
inference(orient,[status(thm)],[t3031]) ).
cnf(t3033,plain,
add(X1,X1) = X1,
inference(step,[status(thm)],[t3032,t434]) ).
cnf(t445,plain,
add(X1,X1) = X1,
inference(orient,[status(thm)],[t3033]) ).
cnf(t452,plain,
X1 = negate(add(negate(X1),negate(add(X1,negate(X1))))),
inference(cp,[status(thm)],[t6,t445]) ).
cnf(t3037,plain,
X1 = negate(add(negate(X1),c)),
inference(step,[status(thm)],[t452,t346]) ).
cnf(t3038,plain,
X1 = negate(negate(X1)),
inference(step,[status(thm)],[t3037,t307]) ).
cnf(t460,plain,
negate(negate(X1)) = X1,
inference(orient,[status(thm)],[t3038]) ).
cnf(t462,plain,
add(negate(add(X1,X2)),negate(add(X1,negate(X2)))) = negate(X1),
inference(cp,[status(thm)],[t460,t6]) ).
cnf(t2903,plain,
add(negate(add(X1,X2)),negate(add(X1,negate(X2)))) = negate(X1),
inference(orient,[status(thm)],[t462]) ).
cnf(goal_0,negated_conjecture,
add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))) != b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
add(negate(add(a,negate(b))),negate(add(negate(b),negate(a)))) != b,
inference(rw,[status(thm)],[goal_0,t10]) ).
cnf(g0_1,plain,
add(negate(add(negate(b),a)),negate(add(negate(b),negate(a)))) != b,
inference(rw,[status(thm)],[g0_0,t10]) ).
cnf(g0_2,plain,
negate(negate(b)) != b,
inference(rw,[status(thm)],[g0_1,t2903]) ).
cnf(g0_3,plain,
b != b,
inference(rw,[status(thm)],[g0_2,t460]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ROB004-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.14/0.40 % Computer : n008.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Thu Sep 24 08:24:54 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.41 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 9.04/1.82 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.04/1.82 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------