%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : LCL112-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/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 02:00:59 PM UTC 2026
% Result : Unsatisfiable 5.16s 1.10s
% Output : CNFRefutation 5.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 5
% Syntax : Number of clauses : 58 ( 58 unt; 0 nHn; 4 RR)
% Number of literals : 58 ( 57 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 80 ( 17 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t1,axiom,
implies(implies(X1,X2),X2) = implies(implies(X2,X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t5,plain,
implies(implies(X1,X2),X2) = implies(implies(X2,X1),X1),
inference(orient,[status(thm)],[t1]) ).
cnf(t3,axiom,
implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))) = truth,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t7,plain,
implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))) = truth,
inference(orient,[status(thm)],[t3]) ).
cnf(t0,axiom,
implies(truth,X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t4,plain,
implies(truth,X1) = X1,
inference(orient,[status(thm)],[t0]) ).
cnf(t8,plain,
truth = implies(X1,implies(implies(X1,X2),implies(truth,X2))),
inference(cp,[status(thm)],[t7,t4]) ).
cnf(t181,plain,
truth = implies(X1,implies(implies(X1,X2),X2)),
inference(step,[status(thm)],[t8,t4]) ).
cnf(t28,plain,
implies(X1,implies(implies(X1,X2),X2)) = truth,
inference(orient,[status(thm)],[t181]) ).
cnf(t30,plain,
truth = implies(X1,implies(implies(X2,X1),X1)),
inference(cp,[status(thm)],[t28,t5]) ).
cnf(t58,plain,
implies(X1,implies(implies(X2,X1),X1)) = truth,
inference(orient,[status(thm)],[t30]) ).
cnf(t61,plain,
truth = implies(X1,implies(X1,X1)),
inference(cp,[status(thm)],[t58,t4]) ).
cnf(t29,plain,
truth = implies(implies(truth,X1),X1),
inference(cp,[status(thm)],[t28,t4]) ).
cnf(t182,plain,
truth = implies(X1,X1),
inference(step,[status(thm)],[t29,t4]) ).
cnf(t39,plain,
implies(X1,X1) = truth,
inference(orient,[status(thm)],[t182]) ).
cnf(t183,plain,
truth = implies(X1,truth),
inference(step,[status(thm)],[t61,t39]) ).
cnf(t68,plain,
implies(X1,truth) = truth,
inference(orient,[status(thm)],[t183]) ).
cnf(t69,plain,
truth = implies(truth,implies(implies(truth,X1),implies(X2,X1))),
inference(cp,[status(thm)],[t7,t68]) ).
cnf(t184,plain,
truth = implies(implies(truth,X1),implies(X2,X1)),
inference(step,[status(thm)],[t69,t4]) ).
cnf(t185,plain,
truth = implies(X1,implies(X2,X1)),
inference(step,[status(thm)],[t184,t4]) ).
cnf(t70,plain,
implies(X1,implies(X2,X1)) = truth,
inference(orient,[status(thm)],[t185]) ).
cnf(t71,plain,
truth = implies(truth,implies(implies(implies(X1,X2),X3),implies(X2,X3))),
inference(cp,[status(thm)],[t7,t70]) ).
cnf(t189,plain,
truth = implies(implies(implies(X1,X2),X3),implies(X2,X3)),
inference(step,[status(thm)],[t71,t4]) ).
cnf(t99,plain,
implies(implies(implies(X1,X2),X3),implies(X2,X3)) = truth,
inference(orient,[status(thm)],[t189]) ).
cnf(t2,axiom,
implies(implies(not(X1),not(X2)),implies(X2,X1)) = truth,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t19,plain,
implies(implies(not(X1),not(X2)),implies(X2,X1)) = truth,
inference(orient,[status(thm)],[t2]) ).
cnf(t20,plain,
truth = implies(implies(not(X1),not(truth)),X1),
inference(cp,[status(thm)],[t19,t4]) ).
cnf(t41,plain,
implies(implies(not(X1),not(truth)),X1) = truth,
inference(orient,[status(thm)],[t20]) ).
cnf(t102,plain,
truth = implies(truth,implies(not(truth),X1)),
inference(cp,[status(thm)],[t99,t41]) ).
cnf(t190,plain,
truth = implies(not(truth),X1),
inference(step,[status(thm)],[t102,t4]) ).
cnf(t113,plain,
implies(not(truth),X1) = truth,
inference(orient,[status(thm)],[t190]) ).
cnf(t115,plain,
implies(implies(X1,not(truth)),not(truth)) = implies(truth,X1),
inference(cp,[status(thm)],[t5,t113]) ).
cnf(t194,plain,
implies(implies(X1,not(truth)),not(truth)) = X1,
inference(step,[status(thm)],[t115,t4]) ).
cnf(t133,plain,
implies(implies(X1,not(truth)),not(truth)) = X1,
inference(orient,[status(thm)],[t194]) ).
cnf(t101,plain,
truth = implies(truth,implies(not(X1),implies(X1,X2))),
inference(cp,[status(thm)],[t99,t19]) ).
cnf(t192,plain,
truth = implies(not(X1),implies(X1,X2)),
inference(step,[status(thm)],[t101,t4]) ).
cnf(t119,plain,
implies(not(X1),implies(X1,X2)) = truth,
inference(orient,[status(thm)],[t192]) ).
cnf(t134,plain,
truth = implies(not(implies(X1,not(truth))),X1),
inference(cp,[status(thm)],[t119,t133]) ).
cnf(t140,plain,
implies(not(implies(X1,not(truth))),X1) = truth,
inference(orient,[status(thm)],[t134]) ).
cnf(t143,plain,
truth = implies(truth,implies(X1,implies(not(X1),not(truth)))),
inference(cp,[status(thm)],[t19,t140]) ).
cnf(t195,plain,
truth = implies(X1,implies(not(X1),not(truth))),
inference(step,[status(thm)],[t143,t4]) ).
cnf(t144,plain,
implies(X1,implies(not(X1),not(truth))) = truth,
inference(orient,[status(thm)],[t195]) ).
cnf(t148,plain,
implies(implies(implies(not(X1),not(truth)),X1),X1) = implies(truth,implies(not(X1),not(truth))),
inference(cp,[status(thm)],[t5,t144]) ).
cnf(t196,plain,
implies(truth,X1) = implies(truth,implies(not(X1),not(truth))),
inference(step,[status(thm)],[t148,t41]) ).
cnf(t197,plain,
X1 = implies(truth,implies(not(X1),not(truth))),
inference(step,[status(thm)],[t196,t4]) ).
cnf(t198,plain,
X1 = implies(not(X1),not(truth)),
inference(step,[status(thm)],[t197,t4]) ).
cnf(t149,plain,
implies(not(X1),not(truth)) = X1,
inference(orient,[status(thm)],[t198]) ).
cnf(t154,plain,
not(X1) = implies(X1,not(truth)),
inference(cp,[status(thm)],[t133,t149]) ).
cnf(t159,plain,
implies(X1,not(truth)) = not(X1),
inference(orient,[status(thm)],[t154]) ).
cnf(t161,plain,
not(implies(X1,not(truth))) = implies(implies(not(truth),X1),X1),
inference(cp,[status(thm)],[t159,t5]) ).
cnf(t203,plain,
not(not(X1)) = implies(implies(not(truth),X1),X1),
inference(step,[status(thm)],[t161,t159]) ).
cnf(t204,plain,
not(not(X1)) = implies(truth,X1),
inference(step,[status(thm)],[t203,t113]) ).
cnf(t205,plain,
not(not(X1)) = X1,
inference(step,[status(thm)],[t204,t4]) ).
cnf(t177,plain,
not(not(X1)) = X1,
inference(orient,[status(thm)],[t205]) ).
cnf(goal_0,negated_conjecture,
implies(x,not(not(x))) != truth,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
implies(x,x) != truth,
inference(rw,[status(thm)],[goal_0,t177]) ).
cnf(g0_1,plain,
truth != truth,
inference(rw,[status(thm)],[g0_0,t39]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL112-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.07/0.34 % Computer : n020.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Wed Sep 23 21:59:19 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.07/0.34 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 5.16/1.10 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.16/1.10 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------