%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : ROB002-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n020.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 02:39:33 PM UTC 2026
% Result : Unsatisfiable 4.16s 1.08s
% Output : CNFRefutation 4.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 10
% Syntax : Number of clauses : 49 ( 49 unt; 0 nHn; 43 RR)
% Number of literals : 49 ( 48 equ; 6 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 : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t0,axiom,
negate(negate(X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t11,plain,
negate(negate(X1)) = X1,
inference(orient,[status(thm)],[t0]) ).
cnf(t4,axiom,
sFlat0 = negate(b),
introduced(definition) ).
cnf(t32,plain,
negate(b) = sFlat0,
inference(orient,[status(thm)],[t4]) ).
cnf(t33,plain,
b = negate(sFlat0),
inference(cp,[status(thm)],[t11,t32]) ).
cnf(t57,plain,
negate(sFlat0) = b,
inference(orient,[status(thm)],[t33]) ).
cnf(t3,axiom,
negate(add(negate(add(X1,X2)),negate(add(X1,negate(X2))))) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t12,plain,
negate(add(negate(add(X1,X2)),negate(add(X1,negate(X2))))) = X1,
inference(orient,[status(thm)],[t3]) ).
cnf(t5,axiom,
sFlat1 = add(a,negate(b)),
introduced(definition) ).
cnf(t106,plain,
sFlat1 = add(a,sFlat0),
inference(step,[status(thm)],[t5,t32]) ).
cnf(t1,axiom,
add(X1,X2) = add(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t36,plain,
add(X1,X2) = add(X2,X1),
inference(orient,[status(thm)],[t1]) ).
cnf(t107,plain,
sFlat1 = add(sFlat0,a),
inference(step,[status(thm)],[t106,t36]) ).
cnf(t52,plain,
add(sFlat0,a) = sFlat1,
inference(orient,[status(thm)],[t107]) ).
cnf(t54,plain,
sFlat0 = negate(add(negate(sFlat1),negate(add(sFlat0,negate(a))))),
inference(cp,[status(thm)],[t12,t52]) ).
cnf(t6,axiom,
sFlat2 = negate(add(a,negate(b))),
introduced(definition) ).
cnf(t23,plain,
negate(add(a,negate(b))) = sFlat2,
inference(orient,[status(thm)],[t6]) ).
cnf(t95,plain,
negate(add(a,sFlat0)) = sFlat2,
inference(step,[status(thm)],[t23,t32]) ).
cnf(t35,plain,
negate(add(a,sFlat0)) = sFlat2,
inference(rw,[status(thm)],[t95]) ).
cnf(t108,plain,
negate(add(sFlat0,a)) = sFlat2,
inference(step,[status(thm)],[t35,t36]) ).
cnf(t109,plain,
negate(sFlat1) = sFlat2,
inference(step,[status(thm)],[t108,t52]) ).
cnf(t59,plain,
negate(sFlat1) = sFlat2,
inference(orient,[status(thm)],[t109]) ).
cnf(t113,plain,
sFlat0 = negate(add(sFlat2,negate(add(sFlat0,negate(a))))),
inference(step,[status(thm)],[t54,t59]) ).
cnf(t7,axiom,
sFlat3 = negate(a),
introduced(definition) ).
cnf(t28,plain,
negate(a) = sFlat3,
inference(orient,[status(thm)],[t7]) ).
cnf(t114,plain,
sFlat0 = negate(add(sFlat2,negate(add(sFlat0,sFlat3)))),
inference(step,[status(thm)],[t113,t28]) ).
cnf(t8,axiom,
sFlat4 = add(negate(a),negate(b)),
introduced(definition) ).
cnf(t102,plain,
sFlat4 = add(negate(b),negate(a)),
inference(step,[status(thm)],[t8,t36]) ).
cnf(t103,plain,
sFlat4 = add(sFlat0,negate(a)),
inference(step,[status(thm)],[t102,t32]) ).
cnf(t104,plain,
sFlat4 = add(sFlat0,sFlat3),
inference(step,[status(thm)],[t103,t28]) ).
cnf(t48,plain,
add(sFlat0,sFlat3) = sFlat4,
inference(orient,[status(thm)],[t104]) ).
cnf(t115,plain,
sFlat0 = negate(add(sFlat2,negate(sFlat4))),
inference(step,[status(thm)],[t114,t48]) ).
cnf(t9,axiom,
sFlat5 = negate(add(negate(a),negate(b))),
introduced(definition) ).
cnf(t18,plain,
negate(add(negate(a),negate(b))) = sFlat5,
inference(orient,[status(thm)],[t9]) ).
cnf(t94,plain,
negate(add(sFlat3,negate(b))) = sFlat5,
inference(step,[status(thm)],[t18,t28]) ).
cnf(t31,plain,
negate(add(sFlat3,negate(b))) = sFlat5,
inference(rw,[status(thm)],[t94]) ).
cnf(t110,plain,
negate(add(sFlat3,sFlat0)) = sFlat5,
inference(step,[status(thm)],[t31,t32]) ).
cnf(t111,plain,
negate(add(sFlat0,sFlat3)) = sFlat5,
inference(step,[status(thm)],[t110,t36]) ).
cnf(t112,plain,
negate(sFlat4) = sFlat5,
inference(step,[status(thm)],[t111,t48]) ).
cnf(t64,plain,
negate(sFlat4) = sFlat5,
inference(orient,[status(thm)],[t112]) ).
cnf(t116,plain,
sFlat0 = negate(add(sFlat2,sFlat5)),
inference(step,[status(thm)],[t115,t64]) ).
cnf(t90,plain,
negate(add(sFlat2,sFlat5)) = sFlat0,
inference(orient,[status(thm)],[t116]) ).
cnf(goal_0,negated_conjecture,
add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))) != b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
add(negate(add(a,negate(b))),sFlat5) != b,
inference(rw,[status(thm)],[goal_0]) ).
cnf(g0_1,plain,
add(sFlat2,sFlat5) != b,
inference(rw,[status(thm)],[g0_0]) ).
cnf(g0_2,plain,
add(sFlat2,sFlat5) != negate(sFlat0),
inference(rw,[status(thm)],[g0_1,t57]) ).
cnf(g0_3,plain,
add(sFlat2,sFlat5) != negate(negate(add(sFlat2,sFlat5))),
inference(rw,[status(thm)],[g0_2,t90]) ).
cnf(g0_4,plain,
add(sFlat2,sFlat5) != add(sFlat2,sFlat5),
inference(rw,[status(thm)],[g0_3,t11]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ROB002-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.12/0.37 % Computer : n020.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Thu Sep 24 08:25:18 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.16/1.08 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.16/1.08 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------