%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : LCL050-10 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n014.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 02:00:46 PM UTC 2026
% Result : Unsatisfiable 143.05s 18.70s
% Output : CNFRefutation 143.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 5
% Syntax : Number of clauses : 47 ( 47 unt; 0 nHn; 3 RR)
% Number of literals : 47 ( 46 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-4 aty)
% Number of variables : 136 ( 28 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(hi0,axiom,
ifeq(is_a_theorem(implies(X,Y)),true,ifeq(is_a_theorem(X),true,is_a_theorem(Y),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(hi1,axiom,
is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(hi2,axiom,
is_a_theorem(implies(implies(not(X),X),X)) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(h7,plain,
is_a_theorem(implies(implies(V0,V1),implies(implies(not(V0),V0),V1))) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi1,hi2]) ).
cnf(h316,plain,
is_a_theorem(implies(implies(implies(implies(not(V0),V0),V1),V2),implies(implies(V0,V1),V2))) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi1,h7]) ).
cnf(h306,plain,
is_a_theorem(implies(implies(implies(implies(V0,V1),implies(V2,V1)),V3),implies(implies(V2,V0),V3))) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi1,hi1]) ).
cnf(h1249,plain,
is_a_theorem(implies(implies(V0,implies(not(V1),V1)),implies(implies(V1,V2),implies(V0,V2)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h306,h316]) ).
cnf(h1335,plain,
is_a_theorem(implies(implies(V0,implies(not(V1),V1)),implies(implies(V1,V2),implies(implies(not(V0),V0),V2)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h316,h1249]) ).
cnf(hi3,axiom,
is_a_theorem(implies(X,implies(not(X),Y))) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(h6,plain,
is_a_theorem(implies(implies(implies(not(V0),V1),V2),implies(V0,V2))) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi1,hi3]) ).
cnf(h10,plain,
is_a_theorem(implies(V0,V0)) = true,
inference(hyper_resolution,[status(thm)],[hi0,h6,hi2]) ).
cnf(h12,plain,
is_a_theorem(implies(not(implies(V0,V0)),V1)) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi3,h10]) ).
cnf(h14,plain,
is_a_theorem(implies(implies(V0,V1),implies(not(implies(V2,V2)),V1))) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi1,h12]) ).
cnf(h35,plain,
is_a_theorem(implies(V0,implies(not(implies(V1,V1)),V2))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h6,h14]) ).
cnf(h38,plain,
is_a_theorem(implies(implies(implies(not(implies(V0,V0)),V1),V2),implies(V3,V2))) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi1,h35]) ).
cnf(h43,plain,
is_a_theorem(implies(V0,implies(V1,V1))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h38,hi2]) ).
cnf(h48,plain,
is_a_theorem(implies(implies(implies(V0,V0),V1),implies(V2,V1))) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi1,h43]) ).
cnf(h51,plain,
is_a_theorem(implies(implies(implies(V0,V1),V2),implies(implies(implies(V3,V3),V1),V2))) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi1,h48]) ).
cnf(h102,plain,
is_a_theorem(implies(implies(implies(V0,V0),V1),V1)) = true,
inference(hyper_resolution,[status(thm)],[hi0,h51,hi2]) ).
cnf(h175,plain,
is_a_theorem(implies(implies(V0,V1),implies(implies(implies(V2,V2),V0),V1))) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi1,h102]) ).
cnf(h1224,plain,
is_a_theorem(implies(implies(V0,implies(V1,V2)),implies(implies(V3,V1),implies(V0,implies(V3,V2))))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h306,h306]) ).
cnf(h1516,plain,
is_a_theorem(implies(implies(V0,implies(implies(V1,V1),V2)),implies(implies(V2,V3),implies(V0,V3)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h1224,h175]) ).
cnf(h1584,plain,
is_a_theorem(implies(implies(V0,implies(V1,V2)),implies(implies(V3,implies(implies(V4,V4),V1)),implies(V0,implies(V3,V2))))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h1224,h1516]) ).
cnf(h2748,plain,
is_a_theorem(implies(implies(V0,implies(implies(V1,V1),implies(V2,V3))),implies(implies(V4,V2),implies(V0,implies(V4,V3))))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h1584,hi1]) ).
cnf(h3007,plain,
is_a_theorem(implies(implies(V0,implies(not(V1),V1)),implies(implies(V1,implies(not(V2),V2)),implies(V0,V2)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h2748,h1335]) ).
cnf(h3204,plain,
is_a_theorem(implies(implies(V0,implies(not(V1),V1)),implies(V0,V1))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h3007,hi3]) ).
cnf(h4160,plain,
is_a_theorem(implies(implies(not(V0),V1),implies(implies(V1,V0),V0))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h306,h3204]) ).
cnf(h53,plain,
is_a_theorem(implies(V0,implies(implies(not(V1),V1),V1))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h48,h7]) ).
cnf(h59,plain,
is_a_theorem(implies(implies(implies(implies(not(V0),V0),V0),V1),implies(V2,V1))) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi1,h53]) ).
cnf(h379,plain,
is_a_theorem(implies(V0,implies(implies(not(implies(not(V1),V1)),implies(not(V1),V1)),V1))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h59,h7]) ).
cnf(h103,plain,
is_a_theorem(implies(implies(implies(V0,V0),V1),implies(implies(V1,V2),implies(V3,V2)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h51,hi1]) ).
cnf(h11,plain,
is_a_theorem(implies(V0,implies(implies(V1,V2),implies(not(V0),V2)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h6,hi1]) ).
cnf(h315,plain,
is_a_theorem(implies(implies(implies(implies(V0,V1),implies(not(V2),V1)),V3),implies(V2,V3))) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi1,h11]) ).
cnf(h534,plain,
is_a_theorem(implies(V0,implies(implies(implies(not(V0),V1),V2),implies(V3,V2)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h315,h103]) ).
cnf(h1411,plain,
is_a_theorem(implies(implies(V0,implies(V1,V2)),implies(implies(V3,V1),implies(implies(not(V0),V0),implies(V3,V2))))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h316,h1224]) ).
cnf(h2094,plain,
is_a_theorem(implies(implies(V0,implies(implies(not(V1),V2),V3)),implies(implies(not(V1),V1),implies(V0,implies(V4,V3))))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h1411,h534]) ).
cnf(h2835,plain,
is_a_theorem(implies(implies(not(implies(not(V0),V0)),implies(not(V0),V0)),implies(V1,implies(V2,V0)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h2094,h379]) ).
cnf(h317,plain,
is_a_theorem(implies(implies(implies(V0,V1),V2),implies(implies(implies(not(V0),V3),V1),V2))) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi1,h6]) ).
cnf(h1334,plain,
is_a_theorem(implies(implies(implies(not(V0),V1),implies(not(V2),V2)),implies(implies(V2,V3),implies(V0,V3)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h317,h1249]) ).
cnf(h1782,plain,
is_a_theorem(implies(implies(implies(not(implies(not(V0),V1)),V2),implies(not(V3),V3)),implies(implies(V3,V4),implies(V0,V4)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h317,h1334]) ).
cnf(h3363,plain,
is_a_theorem(implies(implies(implies(V0,V1),V2),implies(V1,V2))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h1782,h2835]) ).
cnf(h4395,plain,
is_a_theorem(implies(V0,implies(implies(V0,V1),V1))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h3363,h4160]) ).
cnf(t4,plain,
is_a_theorem(implies(implies(X1,implies(X2,X3)),implies(X2,implies(X1,X3)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h1224,h4395]) ).
cnf(t259,plain,
is_a_theorem(implies(implies(X1,implies(X2,X3)),implies(X2,implies(X1,X3)))) = true,
inference(orient,[status(thm)],[t4]) ).
cnf(goal_0,negated_conjecture,
is_a_theorem(implies(implies(a,implies(b,c)),implies(b,implies(a,c)))) != true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t259]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL050-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.07 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.19/0.45 % Computer : n014.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.46 % CPULimit : 300
% 0.19/0.46 % WCLimit : 300
% 0.19/0.46 % DateTime : Wed Sep 23 21:43:35 UTC 2026
% 0.19/0.46 % CPUTime :
% 0.19/0.46 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 143.05/18.70 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 143.05/18.70 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------