%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : LCL113-10 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n002.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 104.78s 13.89s
% Output : CNFRefutation 104.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of clauses : 26 ( 26 unt; 0 nHn; 3 RR)
% Number of literals : 26 ( 25 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 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 : 59 ( 11 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/sandbox/benchmark/theBenchmark.p') ).
cnf(hi1,axiom,
is_a_theorem(implies(X,implies(Y,X))) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(h0,plain,
is_a_theorem(implies(V0,implies(V1,implies(V2,V1)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi1,hi1]) ).
cnf(hi3,axiom,
is_a_theorem(implies(implies(implies(X,Y),Y),implies(implies(Y,X),X))) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(h8,plain,
is_a_theorem(implies(implies(implies(V0,implies(V1,V0)),V2),V2)) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi3,h0]) ).
cnf(hi2,axiom,
is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(hi4,axiom,
is_a_theorem(implies(implies(not(X),not(Y)),implies(Y,X))) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(h6,plain,
is_a_theorem(implies(implies(implies(V0,V1),V2),implies(implies(not(V1),not(V0)),V2))) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi2,hi4]) ).
cnf(h87,plain,
is_a_theorem(implies(implies(not(V0),not(implies(V1,implies(V2,V1)))),V0)) = true,
inference(hyper_resolution,[status(thm)],[hi0,h6,h8]) ).
cnf(h3,plain,
is_a_theorem(implies(implies(implies(V0,V1),V2),implies(V1,V2))) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi2,hi1]) ).
cnf(h25,plain,
is_a_theorem(implies(not(V0),implies(V0,V1))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h3,hi4]) ).
cnf(h29,plain,
is_a_theorem(implies(implies(implies(V0,V1),V2),implies(not(V0),V2))) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi2,h25]) ).
cnf(h3011,plain,
is_a_theorem(implies(not(not(V0)),V0)) = true,
inference(hyper_resolution,[status(thm)],[hi0,h29,h87]) ).
cnf(h63,plain,
is_a_theorem(implies(implies(not(V0),not(V1)),implies(V2,implies(V1,V0)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h6,hi1]) ).
cnf(h3063,plain,
is_a_theorem(implies(V0,implies(V1,not(not(V1))))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h63,h3011]) ).
cnf(h1,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,hi2,hi2]) ).
cnf(h4,plain,
is_a_theorem(implies(implies(implies(implies(V0,V1),V1),V2),implies(implies(implies(V1,V0),V0),V2))) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi2,hi3]) ).
cnf(h38,plain,
is_a_theorem(implies(implies(implies(implies(V0,V1),implies(V2,V1)),implies(V2,V1)),implies(implies(V0,V2),implies(V0,V1)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h4,h1]) ).
cnf(h4249,plain,
is_a_theorem(implies(implies(V0,V1),implies(V0,not(not(V1))))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h38,h3063]) ).
cnf(h7,plain,
is_a_theorem(implies(V0,implies(implies(not(V1),not(V2)),implies(V2,V1)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi1,hi4]) ).
cnf(h842,plain,
is_a_theorem(implies(implies(V0,implies(not(V1),not(V2))),implies(V0,implies(V2,V1)))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h38,h7]) ).
cnf(t111,plain,
is_a_theorem(implies(implies(not(X1),X2),implies(not(X2),X1))) = true,
inference(hyper_resolution,[status(thm)],[hi0,h842,h4249]) ).
cnf(t416,plain,
is_a_theorem(implies(implies(not(X1),X2),implies(not(X2),X1))) = true,
inference(orient,[status(thm)],[t111]) ).
cnf(goal_0,negated_conjecture,
is_a_theorem(implies(implies(not(a),b),implies(not(b),a))) != true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t416]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL113-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.36 % Computer : n002.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
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Wed Sep 23 22:01:18 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 104.78/13.89 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 104.78/13.89 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------