%------------------------------------------------------------------------------
% File : Mace4---2026-6A
% Problem : KLE136+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : mace4 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 : Sun Sep 27 07:43:56 AM UTC 2026
% Result : CounterSatisfiable 0.12s 0.39s
% Output : FiniteModel 0.12s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(interp_domain,interpretation-domains,
! [X] :
( X = "d3"
| X = "d2"
| X = "d1"
| X = "d0" ) ).
fof(interp_functions,interpretation-mappings,
( multiplication("d3","d3") = "d3"
& multiplication("d3","d2") = "d3"
& multiplication("d3","d1") = "d3"
& multiplication("d3","d0") = "d0"
& multiplication("d2","d3") = "d3"
& multiplication("d2","d2") = "d3"
& multiplication("d2","d1") = "d2"
& multiplication("d2","d0") = "d0"
& multiplication("d1","d3") = "d3"
& multiplication("d1","d2") = "d2"
& multiplication("d1","d1") = "d1"
& multiplication("d1","d0") = "d0"
& multiplication("d0","d3") = "d0"
& multiplication("d0","d2") = "d0"
& multiplication("d0","d1") = "d0"
& multiplication("d0","d0") = "d0"
& forward_diamond("d3","d3") = "d1"
& forward_diamond("d3","d2") = "d1"
& forward_diamond("d3","d1") = "d1"
& forward_diamond("d3","d0") = "d0"
& forward_diamond("d2","d3") = "d1"
& forward_diamond("d2","d2") = "d1"
& forward_diamond("d2","d1") = "d1"
& forward_diamond("d2","d0") = "d0"
& forward_diamond("d1","d3") = "d1"
& forward_diamond("d1","d2") = "d1"
& forward_diamond("d1","d1") = "d1"
& forward_diamond("d1","d0") = "d0"
& forward_diamond("d0","d3") = "d0"
& forward_diamond("d0","d2") = "d0"
& forward_diamond("d0","d1") = "d0"
& forward_diamond("d0","d0") = "d0"
& forward_box("d3","d3") = "d1"
& forward_box("d3","d2") = "d1"
& forward_box("d3","d1") = "d1"
& forward_box("d3","d0") = "d0"
& forward_box("d2","d3") = "d1"
& forward_box("d2","d2") = "d1"
& forward_box("d2","d1") = "d1"
& forward_box("d2","d0") = "d0"
& forward_box("d1","d3") = "d1"
& forward_box("d1","d2") = "d1"
& forward_box("d1","d1") = "d1"
& forward_box("d1","d0") = "d0"
& forward_box("d0","d3") = "d1"
& forward_box("d0","d2") = "d1"
& forward_box("d0","d1") = "d1"
& forward_box("d0","d0") = "d1"
& domain_difference("d3","d3") = "d0"
& domain_difference("d3","d2") = "d0"
& domain_difference("d3","d1") = "d0"
& domain_difference("d3","d0") = "d1"
& domain_difference("d2","d3") = "d0"
& domain_difference("d2","d2") = "d0"
& domain_difference("d2","d1") = "d0"
& domain_difference("d2","d0") = "d1"
& domain_difference("d1","d3") = "d0"
& domain_difference("d1","d2") = "d0"
& domain_difference("d1","d1") = "d0"
& domain_difference("d1","d0") = "d1"
& domain_difference("d0","d3") = "d0"
& domain_difference("d0","d2") = "d0"
& domain_difference("d0","d1") = "d0"
& domain_difference("d0","d0") = "d0"
& backward_diamond("d3","d3") = "d1"
& backward_diamond("d3","d2") = "d1"
& backward_diamond("d3","d1") = "d1"
& backward_diamond("d3","d0") = "d0"
& backward_diamond("d2","d3") = "d1"
& backward_diamond("d2","d2") = "d1"
& backward_diamond("d2","d1") = "d1"
& backward_diamond("d2","d0") = "d0"
& backward_diamond("d1","d3") = "d1"
& backward_diamond("d1","d2") = "d1"
& backward_diamond("d1","d1") = "d1"
& backward_diamond("d1","d0") = "d0"
& backward_diamond("d0","d3") = "d0"
& backward_diamond("d0","d2") = "d0"
& backward_diamond("d0","d1") = "d0"
& backward_diamond("d0","d0") = "d0"
& backward_box("d3","d3") = "d1"
& backward_box("d3","d2") = "d1"
& backward_box("d3","d1") = "d1"
& backward_box("d3","d0") = "d0"
& backward_box("d2","d3") = "d1"
& backward_box("d2","d2") = "d1"
& backward_box("d2","d1") = "d1"
& backward_box("d2","d0") = "d0"
& backward_box("d1","d3") = "d1"
& backward_box("d1","d2") = "d1"
& backward_box("d1","d1") = "d1"
& backward_box("d1","d0") = "d0"
& backward_box("d0","d3") = "d1"
& backward_box("d0","d2") = "d1"
& backward_box("d0","d1") = "d1"
& backward_box("d0","d0") = "d1"
& addition("d3","d3") = "d3"
& addition("d3","d2") = "d2"
& addition("d3","d1") = "d1"
& addition("d3","d0") = "d3"
& addition("d2","d3") = "d2"
& addition("d2","d2") = "d2"
& addition("d2","d1") = "d1"
& addition("d2","d0") = "d2"
& addition("d1","d3") = "d1"
& addition("d1","d2") = "d1"
& addition("d1","d1") = "d1"
& addition("d1","d0") = "d1"
& addition("d0","d3") = "d3"
& addition("d0","d2") = "d2"
& addition("d0","d1") = "d1"
& addition("d0","d0") = "d0"
& star("d3") = "d0"
& star("d2") = "d0"
& star("d1") = "d0"
& star("d0") = "d2"
& domain("d3") = "d1"
& domain("d2") = "d1"
& domain("d1") = "d1"
& domain("d0") = "d0"
& divergence("d3") = "d1"
& divergence("d2") = "d1"
& divergence("d1") = "d1"
& divergence("d0") = "d0"
& codomain("d3") = "d1"
& codomain("d2") = "d1"
& codomain("d1") = "d1"
& codomain("d0") = "d0"
& coantidomain("d3") = "d0"
& coantidomain("d2") = "d0"
& coantidomain("d1") = "d0"
& coantidomain("d0") = "d1"
& c("d3") = "d0"
& c("d2") = "d0"
& c("d1") = "d0"
& c("d0") = "d1"
& antidomain("d3") = "d0"
& antidomain("d2") = "d0"
& antidomain("d1") = "d0"
& antidomain("d0") = "d1"
& zero = "d0"
& one = "d1"
& c2 = "d0"
& c1 = "d0" ) ).
fof(interp_relations,interpretation-mappings,
( leq("d3","d3")
& leq("d3","d2")
& leq("d3","d1")
& ~ leq("d3","d0")
& ~ leq("d2","d3")
& leq("d2","d2")
& leq("d2","d1")
& ~ leq("d2","d0")
& ~ leq("d1","d3")
& ~ leq("d1","d2")
& leq("d1","d1")
& ~ leq("d1","d0")
& leq("d0","d3")
& leq("d0","d2")
& leq("d0","d1")
& leq("d0","d0") ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE136+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : mace4 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.36 % Computer : n020.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8046.5625MB
% 0.12/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.37 % DateTime : Fri Sep 25 19:26:20 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 % Mace4 (64) version 2026-6A, July 2026, CASC-J13.
% 0.12/0.37 % Process 3568675 was started by sandbox on n020,
% 0.12/0.37 % Fri Sep 25 19:26:20 2026
% 0.12/0.37 % The command was "/export/starexec/sandbox/solver/bin/mace4 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.12/0.39
% 0.12/0.39 % SZS status CounterSatisfiable for theBenchmark
% 0.12/0.39 % SZS output start FiniteModel for theBenchmark
% See solution above
%------------------------------------------------------------------------------