%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : LCL096-10 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n011.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 02:00:55 PM UTC 2026
% Result : Unsatisfiable 5.46s 1.29s
% Output : CNFRefutation 5.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of clauses : 12 ( 12 unt; 0 nHn; 3 RR)
% Number of literals : 12 ( 11 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; 4 con; 0-4 aty)
% Number of variables : 38 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(hi0,axiom,
ifeq(is_a_theorem(equivalent(X,Y)),true,ifeq(is_a_theorem(X),true,is_a_theorem(Y),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(hi3,axiom,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X,Y),Z),U),equivalent(equivalent(equivalent(X,V),Z),equivalent(equivalent(Y,V),U)))) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(hi2,axiom,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X,Y),equivalent(X,Z)),U),equivalent(equivalent(Y,Z),U)),V),V)) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(h4,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(V0,V1),equivalent(V0,V2)),V3),V4),V5),equivalent(equivalent(equivalent(equivalent(V1,V2),V3),V4),V5))) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi3,hi2]) ).
cnf(h40,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(V0,V1),V2),equivalent(equivalent(V3,V1),equivalent(equivalent(V0,V3),V2))),V4),V4)) = true,
inference(hyper_resolution,[status(thm)],[hi0,h4,hi2]) ).
cnf(hi1,axiom,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X,Y),equivalent(X,Z)),equivalent(Y,Z)),U),U)) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(h5,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(V0,V1),equivalent(V0,V2)),V3),V4),equivalent(equivalent(equivalent(V1,V2),V3),V4))) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi3,hi1]) ).
cnf(t25,plain,
is_a_theorem(equivalent(equivalent(equivalent(X1,equivalent(equivalent(X2,X2),X1)),X3),X3)) = true,
inference(hyper_resolution,[status(thm)],[hi0,h5,h40]) ).
cnf(t407,plain,
is_a_theorem(equivalent(equivalent(equivalent(X1,equivalent(equivalent(X2,X2),X1)),X3),X3)) = true,
inference(orient,[status(thm)],[t25]) ).
cnf(goal_0,negated_conjecture,
is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,b),a)),c),c)) != true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t407]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL096-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.37 % Computer : n011.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Wed Sep 23 21:54:13 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 5.46/1.29 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.46/1.29 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------