%------------------------------------------------------------------------------
% File : Mace4---2026-6A
% Problem : LCL576+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : mace4 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 07:56:42 AM UTC 2026
% Result : CounterSatisfiable 62.11s 16.83s
% Output : FiniteModel 62.11s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(interp_domain,interpretation-domains,
! [X] :
( X = "d1"
| X = "d0" ) ).
fof(interp_functions,interpretation-mappings,
( strict_implies("d1","d1") = "d0"
& strict_implies("d1","d0") = "d0"
& strict_implies("d0","d1") = "d1"
& strict_implies("d0","d0") = "d0"
& strict_equiv("d1","d1") = "d0"
& strict_equiv("d1","d0") = "d1"
& strict_equiv("d0","d1") = "d1"
& strict_equiv("d0","d0") = "d0"
& or("d1","d1") = "d1"
& or("d1","d0") = "d1"
& or("d0","d1") = "d1"
& or("d0","d0") = "d1"
& implies("d1","d1") = "d0"
& implies("d1","d0") = "d0"
& implies("d0","d1") = "d1"
& implies("d0","d0") = "d0"
& equiv("d1","d1") = "d0"
& equiv("d1","d0") = "d1"
& equiv("d0","d1") = "d1"
& equiv("d0","d0") = "d0"
& and("d1","d1") = "d1"
& and("d1","d0") = "d1"
& and("d0","d1") = "d1"
& and("d0","d0") = "d0"
& possibly("d1") = "d1"
& possibly("d0") = "d1"
& not("d1") = "d1"
& not("d0") = "d1"
& necessarily("d1") = "d1"
& necessarily("d0") = "d0"
& c39 = "d0"
& c38 = "d0"
& c37 = "d0"
& c36 = "d0"
& c35 = "d0"
& c34 = "d0"
& c33 = "d0"
& c32 = "d0"
& c31 = "d0"
& c30 = "d0"
& c29 = "d0"
& c28 = "d0"
& c27 = "d0"
& c26 = "d0"
& c25 = "d0"
& c24 = "d0"
& c23 = "d0"
& c22 = "d0"
& c21 = "d0"
& c20 = "d0"
& c19 = "d0"
& c18 = "d0"
& c17 = "d0"
& c16 = "d0"
& c15 = "d0"
& c14 = "d0"
& c13 = "d0"
& c12 = "d0"
& c11 = "d0"
& c10 = "d0"
& c9 = "d0"
& c8 = "d0"
& c7 = "d0"
& c6 = "d0"
& c5 = "d0"
& c4 = "d0"
& c3 = "d0"
& c2 = "d0"
& c1 = "d0" ) ).
fof(interp_relations,interpretation-mappings,
( ~ is_a_theorem("d1")
& is_a_theorem("d0")
& substitution_strict_equiv
& op_strict_implies
& op_strict_equiv
& op_possibly
& op_or
& ~ op_necessarily
& ~ op_implies_or
& ~ op_implies_and
& op_implies
& op_equiv
& ~ op_and
& necessitation
& modus_ponens_strict_implies
& axiom_s4
& axiom_s3
& axiom_s2
& axiom_s1
& axiom_m9
& axiom_m8
& axiom_m7
& ~ axiom_m6
& axiom_m5
& axiom_m4
& axiom_m3
& axiom_m2
& axiom_m10
& axiom_m1
& axiom_M
& axiom_K
& ~ axiom_B
& axiom_5
& axiom_4
& adjunction ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL576+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : mace4 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n016.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Fri Sep 25 22:50:59 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.36 % Mace4 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.36 % Process 3497635 was started by sandbox on n016,
% 0.10/0.36 % Fri Sep 25 22:50:59 2026
% 0.10/0.36 % The command was "/export/starexec/sandbox/solver/bin/mace4 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 62.11/16.83
% 62.11/16.83 % SZS status CounterSatisfiable for theBenchmark
% 62.11/16.83 % SZS output start FiniteModel for theBenchmark
% See solution above
%------------------------------------------------------------------------------