%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : GRP048-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n017.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 01:25:03 PM UTC 2026
% Result : Unsatisfiable 8.72s 1.52s
% Output : CNFRefutation 8.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of clauses : 19 ( 19 unt; 0 nHn; 11 RR)
% Number of literals : 19 ( 18 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 1 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 : 24 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(hi4,axiom,
ifeq(product(U,Z,W),true,ifeq(product(Y,Z,V),true,ifeq(product(X,Y,U),true,product(X,V,W),true),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(hi0,axiom,
product(identity,X,X) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(hi1,axiom,
product(inverse(X),X,identity) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(h10,plain,
product(inverse(inverse(V0)),identity,V0) = true,
inference(hyper_resolution,[status(thm)],[hi4,hi0,hi1,hi1]) ).
cnf(hi5,axiom,
ifeq(product(Y,Z,V),true,ifeq(product(X,V,W),true,ifeq(product(X,Y,U),true,product(U,Z,W),true),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(h532,plain,
product(V0,identity,V0) = true,
inference(hyper_resolution,[status(thm)],[hi5,hi0,h10,h10]) ).
cnf(hi6,axiom,
ifeq(equalish(X,Y),true,ifeq(product(W,Z,X),true,product(W,Z,Y),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(hi7,axiom,
equalish(a,b) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(h0,plain,
product(identity,a,b) = true,
inference(hyper_resolution,[status(thm)],[hi6,hi7,hi0]) ).
cnf(h2,plain,
product(identity,b,a) = true,
inference(hyper_resolution,[status(thm)],[hi4,hi0,h0,hi0]) ).
cnf(h5,plain,
product(inverse(inverse(b)),identity,a) = true,
inference(hyper_resolution,[status(thm)],[hi4,h2,hi1,hi1]) ).
cnf(h151,plain,
product(a,inverse(b),identity) = true,
inference(hyper_resolution,[status(thm)],[hi5,hi0,hi1,h5]) ).
cnf(h333,plain,
product(inverse(a),identity,inverse(b)) = true,
inference(hyper_resolution,[status(thm)],[hi4,hi0,h151,hi1]) ).
cnf(hi3,axiom,
ifeq(product(X,Y,W),true,ifeq(product(X,Y,Z),true,equalish(Z,W),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(t14,plain,
equalish(inverse(a),inverse(b)) = true,
inference(hyper_resolution,[status(thm)],[hi3,h333,h532]) ).
cnf(t395,plain,
equalish(inverse(a),inverse(b)) = true,
inference(orient,[status(thm)],[t14]) ).
cnf(goal_0,negated_conjecture,
equalish(inverse(a),inverse(b)) != true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t395]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP048-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.36 % Computer : n017.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Wed Sep 23 13:19:02 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 8.72/1.52 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.72/1.52 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------