%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : LCL111-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n016.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 6.93s 1.46s
% Output : CNFRefutation 6.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 9
% Syntax : Number of clauses : 54 ( 54 unt; 0 nHn; 39 RR)
% Number of literals : 54 ( 53 equ; 7 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 : 10 ( 10 usr; 9 con; 0-2 aty)
% Number of variables : 28 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t4,axiom,
sFlat0 = implies(x,y),
introduced(definition) ).
cnf(t55,plain,
implies(x,y) = sFlat0,
inference(orient,[status(thm)],[t4]) ).
cnf(t5,axiom,
sFlat1 = implies(z,x),
introduced(definition) ).
cnf(t44,plain,
implies(z,x) = sFlat1,
inference(orient,[status(thm)],[t5]) ).
cnf(t6,axiom,
sFlat2 = implies(z,y),
introduced(definition) ).
cnf(t50,plain,
implies(z,y) = sFlat2,
inference(orient,[status(thm)],[t6]) ).
cnf(t7,axiom,
sFlat3 = implies(implies(z,x),implies(z,y)),
introduced(definition) ).
cnf(t24,plain,
implies(implies(z,x),implies(z,y)) = sFlat3,
inference(orient,[status(thm)],[t7]) ).
cnf(t3960,plain,
implies(sFlat1,implies(z,y)) = sFlat3,
inference(step,[status(thm)],[t24,t44]) ).
cnf(t49,plain,
implies(sFlat1,implies(z,y)) = sFlat3,
inference(rw,[status(thm)],[t3960]) ).
cnf(t3962,plain,
implies(sFlat1,sFlat2) = sFlat3,
inference(step,[status(thm)],[t49,t50]) ).
cnf(t67,plain,
implies(sFlat1,sFlat2) = sFlat3,
inference(orient,[status(thm)],[t3962]) ).
cnf(t8,axiom,
sFlat4 = implies(implies(x,y),implies(implies(z,x),implies(z,y))),
introduced(definition) ).
cnf(t3959,plain,
sFlat4 = implies(implies(x,y),sFlat3),
inference(step,[status(thm)],[t8,t24]) ).
cnf(t29,plain,
implies(implies(x,y),sFlat3) = sFlat4,
inference(orient,[status(thm)],[t3959]) ).
cnf(t3961,plain,
implies(sFlat0,sFlat3) = sFlat4,
inference(step,[status(thm)],[t29,t55]) ).
cnf(t61,plain,
implies(sFlat0,sFlat3) = sFlat4,
inference(rw,[status(thm)],[t3961]) ).
cnf(t62,plain,
implies(sFlat0,sFlat3) = sFlat4,
inference(orient,[status(thm)],[t61]) ).
cnf(t3,axiom,
implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))) = truth,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t12,plain,
implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))) = truth,
inference(orient,[status(thm)],[t3]) ).
cnf(t65,plain,
truth = implies(implies(sFlat0,X1),implies(implies(X1,sFlat3),sFlat4)),
inference(cp,[status(thm)],[t12,t62]) ).
cnf(t3586,plain,
implies(implies(sFlat0,X1),implies(implies(X1,sFlat3),sFlat4)) = truth,
inference(orient,[status(thm)],[t65]) ).
cnf(t1,axiom,
implies(implies(X1,X2),X2) = implies(implies(X2,X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t10,plain,
implies(implies(X1,X2),X2) = implies(implies(X2,X1),X1),
inference(orient,[status(thm)],[t1]) ).
cnf(t16,plain,
truth = implies(implies(X1,implies(X2,X3)),implies(implies(implies(X3,X2),X2),implies(X1,X3))),
inference(cp,[status(thm)],[t12,t10]) ).
cnf(t813,plain,
implies(implies(X1,implies(X2,X3)),implies(implies(implies(X3,X2),X2),implies(X1,X3))) = truth,
inference(orient,[status(thm)],[t16]) ).
cnf(t45,plain,
truth = implies(sFlat1,implies(implies(x,X1),implies(z,X1))),
inference(cp,[status(thm)],[t12,t44]) ).
cnf(t1506,plain,
implies(sFlat1,implies(implies(x,X1),implies(z,X1))) = truth,
inference(orient,[status(thm)],[t45]) ).
cnf(t1509,plain,
truth = implies(sFlat1,implies(sFlat0,implies(z,y))),
inference(cp,[status(thm)],[t1506,t55]) ).
cnf(t4051,plain,
truth = implies(sFlat1,implies(sFlat0,sFlat2)),
inference(step,[status(thm)],[t1509,t50]) ).
cnf(t1526,plain,
implies(sFlat1,implies(sFlat0,sFlat2)) = truth,
inference(orient,[status(thm)],[t4051]) ).
cnf(t1534,plain,
truth = implies(truth,implies(implies(implies(sFlat2,sFlat0),sFlat0),implies(sFlat1,sFlat2))),
inference(cp,[status(thm)],[t813,t1526]) ).
cnf(t0,axiom,
implies(truth,X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t9,plain,
implies(truth,X1) = X1,
inference(orient,[status(thm)],[t0]) ).
cnf(t4060,plain,
truth = implies(implies(implies(sFlat2,sFlat0),sFlat0),implies(sFlat1,sFlat2)),
inference(step,[status(thm)],[t1534,t9]) ).
cnf(t4061,plain,
truth = implies(implies(implies(sFlat0,sFlat2),sFlat2),implies(sFlat1,sFlat2)),
inference(step,[status(thm)],[t4060,t10]) ).
cnf(t4062,plain,
truth = implies(implies(implies(sFlat0,sFlat2),sFlat2),sFlat3),
inference(step,[status(thm)],[t4061,t67]) ).
cnf(t1997,plain,
implies(implies(implies(sFlat0,sFlat2),sFlat2),sFlat3) = truth,
inference(orient,[status(thm)],[t4062]) ).
cnf(t3602,plain,
truth = implies(implies(sFlat0,implies(implies(sFlat0,sFlat2),sFlat2)),implies(truth,sFlat4)),
inference(cp,[status(thm)],[t3586,t1997]) ).
cnf(t13,plain,
truth = implies(X1,implies(implies(X1,X2),implies(truth,X2))),
inference(cp,[status(thm)],[t12,t9]) ).
cnf(t3963,plain,
truth = implies(X1,implies(implies(X1,X2),X2)),
inference(step,[status(thm)],[t13,t9]) ).
cnf(t77,plain,
implies(X1,implies(implies(X1,X2),X2)) = truth,
inference(orient,[status(thm)],[t3963]) ).
cnf(t4127,plain,
truth = implies(truth,implies(truth,sFlat4)),
inference(step,[status(thm)],[t3602,t77]) ).
cnf(t4128,plain,
truth = implies(truth,sFlat4),
inference(step,[status(thm)],[t4127,t9]) ).
cnf(t4129,plain,
truth = sFlat4,
inference(step,[status(thm)],[t4128,t9]) ).
cnf(t3629,plain,
truth = sFlat4,
inference(orient,[status(thm)],[t4129]) ).
cnf(goal_0,negated_conjecture,
implies(implies(x,y),implies(implies(z,x),implies(z,y))) != truth,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
implies(sFlat0,implies(implies(z,x),implies(z,y))) != truth,
inference(rw,[status(thm)],[goal_0,t55]) ).
cnf(g0_1,plain,
implies(sFlat0,implies(sFlat1,implies(z,y))) != truth,
inference(rw,[status(thm)],[g0_0,t44]) ).
cnf(g0_2,plain,
implies(sFlat0,implies(sFlat1,sFlat2)) != truth,
inference(rw,[status(thm)],[g0_1,t50]) ).
cnf(g0_3,plain,
implies(sFlat0,sFlat3) != truth,
inference(rw,[status(thm)],[g0_2,t67]) ).
cnf(g0_4,plain,
sFlat4 != truth,
inference(rw,[status(thm)],[g0_3,t62]) ).
cnf(g0_5,plain,
sFlat4 != sFlat4,
inference(rw,[status(thm)],[g0_4,t3629]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL111-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.36 % Computer : n016.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.02/0.36 % CPULimit : 300
% 0.02/0.36 % WCLimit : 300
% 0.02/0.36 % DateTime : Wed Sep 23 22:02:41 UTC 2026
% 0.02/0.36 % CPUTime :
% 0.02/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 6.93/1.46 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.93/1.46 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------