%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : LCL400-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n005.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 02:01:54 PM UTC 2026
% Result : Unsatisfiable 15.44s 2.43s
% Output : CNFRefutation 15.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 5
% Syntax : Number of clauses : 56 ( 56 unt; 0 nHn; 3 RR)
% Number of literals : 56 ( 55 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 : 7 ( 7 usr; 3 con; 0-4 aty)
% Number of variables : 136 ( 43 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(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(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(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(h31,plain,
is_a_theorem(implies(V0,implies(not(implies(V1,V1)),V2))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h6,h14]) ).
cnf(h34,plain,
is_a_theorem(implies(implies(implies(not(implies(V0,V0)),V1),V2),implies(V3,V2))) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi1,h31]) ).
cnf(h38,plain,
is_a_theorem(implies(V0,implies(V1,V1))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h34,hi2]) ).
cnf(h43,plain,
is_a_theorem(implies(implies(implies(V0,V0),V1),implies(V2,V1))) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi1,h38]) ).
cnf(h48,plain,
is_a_theorem(implies(V0,implies(implies(not(V1),V1),V1))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h43,h7]) ).
cnf(h54,plain,
is_a_theorem(implies(implies(implies(implies(not(V0),V0),V0),V1),implies(V2,V1))) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi1,h48]) ).
cnf(h192,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(h713,plain,
is_a_theorem(implies(implies(V0,implies(not(V1),V1)),implies(V2,implies(V0,V1)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h192,h54]) ).
cnf(h953,plain,
is_a_theorem(implies(V0,implies(implies(V1,implies(not(V2),V2)),implies(V1,V2)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h713,h713]) ).
cnf(h20,plain,
is_a_theorem(implies(V0,implies(implies(not(not(V0)),not(V0)),V1))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h6,h7]) ).
cnf(h200,plain,
is_a_theorem(implies(implies(implies(implies(not(not(V0)),not(V0)),V1),V2),implies(V0,V2))) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi1,h20]) ).
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(h201,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(h417,plain,
is_a_theorem(implies(V0,implies(V1,implies(not(V0),V2)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h201,h200]) ).
cnf(h438,plain,
is_a_theorem(implies(implies(implies(V0,implies(not(V1),V2)),V3),implies(V1,V3))) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi1,h417]) ).
cnf(h956,plain,
is_a_theorem(implies(V0,implies(V1,implies(V2,V0)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h438,h713]) ).
cnf(h983,plain,
is_a_theorem(implies(V0,implies(V1,implies(V2,V1)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h713,h956]) ).
cnf(h203,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(h549,plain,
is_a_theorem(implies(implies(implies(not(V0),V1),V2),implies(implies(V2,V3),implies(V0,V3)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h203,hi1]) ).
cnf(h1000,plain,
is_a_theorem(implies(implies(implies(V0,implies(V1,V0)),V2),implies(V3,V2))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h549,h983]) ).
cnf(h1295,plain,
is_a_theorem(implies(V0,implies(implies(implies(V1,implies(V2,V1)),V3),V3))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h713,h1000]) ).
cnf(h1364,plain,
is_a_theorem(implies(implies(implies(V0,implies(V1,V0)),V2),V2)) = true,
inference(hyper_resolution,[status(thm)],[hi0,h1295,h1295]) ).
cnf(h1675,plain,
is_a_theorem(implies(implies(V0,implies(not(V1),V1)),implies(V0,V1))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h1364,h953]) ).
cnf(h1692,plain,
is_a_theorem(implies(implies(not(V0),V1),implies(implies(V1,V0),V0))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h192,h1675]) ).
cnf(h995,plain,
is_a_theorem(implies(V0,implies(V1,V0))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h983,h983]) ).
cnf(h1025,plain,
is_a_theorem(implies(implies(implies(V0,V1),V2),implies(V1,V2))) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi1,h995]) ).
cnf(h1749,plain,
is_a_theorem(implies(V0,implies(implies(V0,V1),V1))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h1025,h1692]) ).
cnf(h1925,plain,
is_a_theorem(implies(implies(implies(implies(V0,V1),V1),V2),implies(V0,V2))) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi1,h1749]) ).
cnf(h2860,plain,
is_a_theorem(implies(not(V0),implies(V0,V1))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h1925,h6]) ).
cnf(h25,plain,
is_a_theorem(implies(implies(not(implies(not(V0),V0)),implies(not(V0),V0)),V0)) = true,
inference(hyper_resolution,[status(thm)],[hi0,h7,hi2]) ).
cnf(h46,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,h43]) ).
cnf(h80,plain,
is_a_theorem(implies(implies(implies(V0,V0),implies(not(V1),V1)),V1)) = true,
inference(hyper_resolution,[status(thm)],[hi0,h46,h25]) ).
cnf(h540,plain,
is_a_theorem(implies(implies(implies(not(implies(V0,V0)),V1),implies(not(V2),V2)),V2)) = true,
inference(hyper_resolution,[status(thm)],[hi0,h203,h80]) ).
cnf(h695,plain,
is_a_theorem(implies(implies(not(V0),not(implies(V1,V1))),V0)) = true,
inference(hyper_resolution,[status(thm)],[hi0,h192,h540]) ).
cnf(h727,plain,
is_a_theorem(implies(implies(implies(not(not(V0)),V1),not(implies(V2,V2))),V0)) = true,
inference(hyper_resolution,[status(thm)],[hi0,h203,h695]) ).
cnf(h2830,plain,
is_a_theorem(implies(not(not(V0)),V0)) = true,
inference(hyper_resolution,[status(thm)],[hi0,h1925,h727]) ).
cnf(h2868,plain,
is_a_theorem(implies(implies(V0,not(V0)),not(V0))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h1692,h2830]) ).
cnf(h3136,plain,
is_a_theorem(implies(V0,not(not(V0)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h6,h2868]) ).
cnf(h3233,plain,
is_a_theorem(implies(implies(implies(V0,not(not(V0))),V1),V1)) = true,
inference(hyper_resolution,[status(thm)],[hi0,h1749,h3136]) ).
cnf(h7274,plain,
is_a_theorem(implies(implies(V0,V1),implies(V0,not(not(V1))))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h192,h3233]) ).
cnf(h10875,plain,
is_a_theorem(implies(not(V0),not(not(implies(V0,V1))))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h7274,h2860]) ).
cnf(h11011,plain,
is_a_theorem(implies(implies(not(not(implies(V0,V1))),V0),V0)) = true,
inference(hyper_resolution,[status(thm)],[hi0,h1692,h10875]) ).
cnf(t6,plain,
is_a_theorem(implies(not(implies(X1,X2)),X1)) = true,
inference(hyper_resolution,[status(thm)],[hi0,h6,h11011]) ).
cnf(t406,plain,
is_a_theorem(implies(not(implies(X1,X2)),X1)) = true,
inference(orient,[status(thm)],[t6]) ).
cnf(goal_0,negated_conjecture,
is_a_theorem(implies(not(implies(x,y)),x)) != true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t406]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL400-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.35 % Computer : n005.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Wed Sep 23 23:12:02 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 15.44/2.43 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.44/2.43 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------