%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : LCL203-10 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n012.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 02:01:20 PM UTC 2026
% Result : Unsatisfiable 16.36s 2.45s
% Output : CNFRefutation 16.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of clauses : 25 ( 25 unt; 0 nHn; 4 RR)
% Number of literals : 25 ( 24 equ; 3 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 : 9 ( 9 usr; 3 con; 0-4 aty)
% Number of variables : 52 ( 12 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t5,axiom,
or(not(X1),X2) = implies(X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t257,plain,
or(not(X1),X2) = implies(X1,X2),
inference(orient,[status(thm)],[t5]) ).
cnf(hi6,axiom,
ifeq(axiom(X),true,theorem(X),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(hi2,axiom,
axiom(implies(A,or(B,A))) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(hi1,axiom,
implies(X,Y) = or(not(X),Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(h1,plain,
theorem(or(not(V0),or(V1,V0))) = true,
inference(hyper_resolution,[status(thm)],[hi6,hi2,hi1]) ).
cnf(hi3,axiom,
axiom(implies(or(A,B),or(B,A))) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(h2,plain,
theorem(or(not(or(V0,V1)),or(V1,V0))) = true,
inference(hyper_resolution,[status(thm)],[hi6,hi3,hi1]) ).
cnf(hi5,axiom,
axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(h4,plain,
theorem(or(not(or(not(V0),V1)),or(not(or(V2,V0)),or(V2,V1)))) = true,
inference(hyper_resolution,[status(thm)],[hi6,hi5,hi1]) ).
cnf(hi7,axiom,
ifeq(theorem(implies(Y,X)),true,ifeq(theorem(Y),true,theorem(X),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(h23,plain,
theorem(or(not(or(V0,or(V1,V2))),or(V0,or(V2,V1)))) = true,
inference(hyper_resolution,[status(thm)],[hi7,h4,h2,hi1]) ).
cnf(h291,plain,
theorem(or(not(V0),or(V0,V1))) = true,
inference(hyper_resolution,[status(thm)],[hi7,h23,h1,hi1]) ).
cnf(hi4,axiom,
axiom(implies(or(A,or(B,C)),or(B,or(A,C)))) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(h3,plain,
theorem(or(not(or(V0,or(V1,V2))),or(V1,or(V0,V2)))) = true,
inference(hyper_resolution,[status(thm)],[hi6,hi4,hi1]) ).
cnf(h19,plain,
theorem(or(not(or(V0,V1)),or(not(or(not(V1),V2)),or(V0,V2)))) = true,
inference(hyper_resolution,[status(thm)],[hi7,h3,h4,hi1]) ).
cnf(h517,plain,
theorem(or(not(or(not(or(V0,V1)),V2)),or(not(V0),V2))) = true,
inference(hyper_resolution,[status(thm)],[hi7,h19,h291,hi1]) ).
cnf(t179,plain,
theorem(or(not(not(or(X1,X2))),or(not(X1),X3))) = true,
inference(hyper_resolution,[status(thm)],[hi7,h517,h517,hi1]) ).
cnf(t878,plain,
theorem(implies(not(or(X1,X2)),or(not(X1),X3))) = true,
inference(step,[status(thm)],[t179,t257]) ).
cnf(t879,plain,
theorem(implies(not(or(X1,X2)),implies(X1,X3))) = true,
inference(step,[status(thm)],[t878,t257]) ).
cnf(t730,plain,
theorem(implies(not(or(X1,X2)),implies(X1,X3))) = true,
inference(orient,[status(thm)],[t879]) ).
cnf(goal_0,negated_conjecture,
theorem(implies(not(or(p,q)),or(not(p),not(q)))) != true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
theorem(implies(not(or(p,q)),implies(p,not(q)))) != true,
inference(rw,[status(thm)],[goal_0,t257]) ).
cnf(g0_1,plain,
true != true,
inference(rw,[status(thm)],[g0_0,t730]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LCL203-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.02 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.03/0.32 % Computer : n012.cluster.edu
% 0.03/0.32 % Model : x86_64 x86_64
% 0.03/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.32 % Memory : 8046.5625MB
% 0.03/0.32 % OS : Linux 6.8.0-71-generic
% 0.03/0.32 % CPULimit : 300
% 0.03/0.32 % WCLimit : 300
% 0.03/0.32 % DateTime : Wed Sep 23 22:19:21 UTC 2026
% 0.03/0.32 % CPUTime :
% 0.03/0.32 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 16.36/2.45 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.36/2.45 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------