%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : ROB003-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n012.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 3.99s 1.05s
% Output : CNFRefutation 3.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 5
% Syntax : Number of clauses : 44 ( 44 unt; 0 nHn; 7 RR)
% Number of literals : 44 ( 43 equ; 4 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 : 53 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t1,axiom,
add(X1,X2) = add(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t8,plain,
add(X1,X2) = add(X2,X1),
inference(orient,[status(thm)],[t1]) ).
cnf(t3,axiom,
negate(add(negate(add(X1,X2)),negate(add(X1,negate(X2))))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t4,plain,
negate(add(negate(add(X1,X2)),negate(add(X1,negate(X2))))) = X1,
inference(orient,[status(thm)],[t3]) ).
cnf(t9,plain,
X1 = negate(add(negate(add(X2,X1)),negate(add(X1,negate(X2))))),
inference(cp,[status(thm)],[t4,t8]) ).
cnf(t88,plain,
negate(add(negate(add(X1,X2)),negate(add(X2,negate(X1))))) = X2,
inference(orient,[status(thm)],[t9]) ).
cnf(t101,plain,
X1 = negate(add(negate(add(X2,X1)),negate(add(negate(X2),X1)))),
inference(cp,[status(thm)],[t88,t8]) ).
cnf(t144,plain,
negate(add(negate(add(X1,X2)),negate(add(negate(X1),X2)))) = X2,
inference(orient,[status(thm)],[t101]) ).
cnf(t2,axiom,
add(add(X1,X2),X3) = add(X1,add(X2,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t11,plain,
add(add(X1,X2),X3) = add(X1,add(X2,X3)),
inference(orient,[status(thm)],[t2]) ).
cnf(t0,axiom,
add(X1,c) = c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t16,plain,
add(X1,c) = c,
inference(orient,[status(thm)],[t0]) ).
cnf(t19,plain,
X1 = negate(add(negate(c),negate(add(X1,negate(c))))),
inference(cp,[status(thm)],[t4,t16]) ).
cnf(t25,plain,
negate(add(negate(c),negate(add(X1,negate(c))))) = X1,
inference(orient,[status(thm)],[t19]) ).
cnf(t29,plain,
negate(c) = negate(add(negate(add(negate(c),add(X1,negate(c)))),X1)),
inference(cp,[status(thm)],[t4,t25]) ).
cnf(t2782,plain,
negate(c) = negate(add(X1,negate(add(negate(c),add(X1,negate(c)))))),
inference(step,[status(thm)],[t29,t8]) ).
cnf(t181,plain,
negate(add(X1,negate(add(negate(c),add(X1,negate(c)))))) = negate(c),
inference(orient,[status(thm)],[t2782]) ).
cnf(t27,plain,
X1 = negate(add(negate(c),negate(add(negate(c),X1)))),
inference(cp,[status(thm)],[t25,t8]) ).
cnf(t31,plain,
negate(add(negate(c),negate(add(negate(c),X1)))) = X1,
inference(orient,[status(thm)],[t27]) ).
cnf(t182,plain,
negate(c) = add(negate(c),negate(c)),
inference(cp,[status(thm)],[t181,t31]) ).
cnf(t202,plain,
add(negate(c),negate(c)) = negate(c),
inference(orient,[status(thm)],[t182]) ).
cnf(t203,plain,
add(negate(c),add(negate(c),X1)) = add(negate(c),X1),
inference(cp,[status(thm)],[t11,t202]) ).
cnf(t224,plain,
add(negate(c),add(negate(c),X1)) = add(negate(c),X1),
inference(orient,[status(thm)],[t203]) ).
cnf(t235,plain,
add(negate(c),X1) = negate(add(negate(add(c,add(negate(c),X1))),negate(add(negate(c),X1)))),
inference(cp,[status(thm)],[t144,t224]) ).
cnf(t2784,plain,
add(negate(c),X1) = negate(add(negate(add(negate(c),X1)),negate(add(c,add(negate(c),X1))))),
inference(step,[status(thm)],[t235,t8]) ).
cnf(t17,plain,
c = add(c,X1),
inference(cp,[status(thm)],[t16,t8]) ).
cnf(t20,plain,
add(c,X1) = c,
inference(orient,[status(thm)],[t17]) ).
cnf(t2785,plain,
add(negate(c),X1) = negate(add(negate(add(negate(c),X1)),negate(c))),
inference(step,[status(thm)],[t2784,t20]) ).
cnf(t2786,plain,
add(negate(c),X1) = negate(add(negate(c),negate(add(negate(c),X1)))),
inference(step,[status(thm)],[t2785,t8]) ).
cnf(t2787,plain,
add(negate(c),X1) = X1,
inference(step,[status(thm)],[t2786,t31]) ).
cnf(t244,plain,
add(negate(c),X1) = X1,
inference(orient,[status(thm)],[t2787]) ).
cnf(t252,plain,
X1 = negate(add(negate(add(c,X1)),negate(X1))),
inference(cp,[status(thm)],[t144,t244]) ).
cnf(t2792,plain,
X1 = negate(add(negate(c),negate(X1))),
inference(step,[status(thm)],[t252,t20]) ).
cnf(t2793,plain,
X1 = negate(negate(X1)),
inference(step,[status(thm)],[t2792,t244]) ).
cnf(t263,plain,
negate(negate(X1)) = X1,
inference(orient,[status(thm)],[t2793]) ).
cnf(t10,plain,
X1 = negate(add(negate(add(X1,X2)),negate(add(negate(X2),X1)))),
inference(cp,[status(thm)],[t4,t8]) ).
cnf(t112,plain,
negate(add(negate(add(X1,X2)),negate(add(negate(X2),X1)))) = X1,
inference(orient,[status(thm)],[t10]) ).
cnf(t264,plain,
add(negate(add(X1,X2)),negate(add(negate(X2),X1))) = negate(X1),
inference(cp,[status(thm)],[t263,t112]) ).
cnf(t2659,plain,
add(negate(add(X1,X2)),negate(add(negate(X2),X1))) = negate(X1),
inference(orient,[status(thm)],[t264]) ).
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(negate(b),a)),negate(add(negate(a),negate(b)))) != b,
inference(rw,[status(thm)],[goal_0,t8]) ).
cnf(g0_1,plain,
negate(negate(b)) != b,
inference(rw,[status(thm)],[g0_0,t2659]) ).
cnf(g0_2,plain,
b != b,
inference(rw,[status(thm)],[g0_1,t263]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : ROB003-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.02 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.03/0.51 % Computer : n012.cluster.edu
% 0.03/0.51 % Model : x86_64 x86_64
% 0.03/0.51 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.51 % Memory : 8046.5625MB
% 0.03/0.51 % OS : Linux 6.8.0-71-generic
% 0.03/0.51 % CPULimit : 300
% 0.03/0.51 % WCLimit : 300
% 0.03/0.51 % DateTime : Thu Sep 24 08:23:51 UTC 2026
% 0.03/0.51 % CPUTime :
% 0.03/0.51 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.99/1.05 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.99/1.05 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------