%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : BOO004-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n008.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 12:59:31 PM UTC 2026
% Result : Unsatisfiable 8.13s 1.42s
% Output : CNFRefutation 8.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of clauses : 14 ( 14 unt; 0 nHn; 7 RR)
% Number of literals : 14 ( 13 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-4 aty)
% Number of variables : 20 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(hi6,axiom,
product(multiplicative_identity,X,X) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(h7,plain,
product(multiplicative_identity,x,x) = true,
inference(hyper_resolution,[status(thm)],[hi6]) ).
cnf(hi12,axiom,
ifeq(product(Y,Z,V3),true,ifeq(sum(X,V3,V4),true,ifeq(sum(X,Z,V2),true,ifeq(sum(X,Y,V1),true,product(V1,V2,V4),true),true),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(hi18,axiom,
product(inverse(X),X,additive_identity) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(hi5,axiom,
sum(X,additive_identity,X) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(hi0,axiom,
sum(X,Y,add(X,Y)) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(hi17,axiom,
sum(X,inverse(X),multiplicative_identity) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(h24,plain,
product(multiplicative_identity,add(x,x),x) = true,
inference(hyper_resolution,[status(thm)],[hi12,hi18,hi5,hi0,hi17]) ).
cnf(hi8,axiom,
ifeq(product(X,V3,V4),true,ifeq(product(X,Z,V2),true,ifeq(product(X,Y,V1),true,ifeq(sum(Y,Z,V3),true,sum(V1,V2,V4),true),true),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(t4,plain,
sum(x,x,x) = true,
inference(hyper_resolution,[status(thm)],[hi8,h24,h7,h7,hi0]) ).
cnf(t164,plain,
sum(x,x,x) = true,
inference(orient,[status(thm)],[t4]) ).
cnf(goal_0,negated_conjecture,
sum(x,x,x) != true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t164]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO004-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/0.35 % Computer : n008.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Fri Sep 25 06:27:54 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 8.13/1.42 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.13/1.42 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------