%------------------------------------------------------------------------------
% File : Mace4---2026-6A
% Problem : SYN422-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : mace4 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 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 : Sun Sep 27 09:35:12 AM UTC 2026
% Result : Satisfiable 0.55s 0.50s
% Output : FiniteModel 0.55s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(interp_domain,interpretation-domains,
! [X] :
( X = "d1"
| X = "d0" ) ).
fof(interp_functions,interpretation-mappings,
( a760 = "d0"
& a759 = "d0"
& a758 = "d1"
& a757 = "d0"
& a756 = "d1"
& a755 = "d0"
& a754 = "d0"
& a753 = "d0"
& a752 = "d0"
& a751 = "d0"
& a750 = "d0"
& a749 = "d0"
& a748 = "d0"
& a747 = "d0"
& a746 = "d0"
& a745 = "d0"
& a744 = "d0"
& a743 = "d0"
& a742 = "d0"
& a741 = "d0"
& a740 = "d0"
& a739 = "d0"
& a738 = "d0"
& a737 = "d0"
& a736 = "d0"
& a735 = "d0"
& a734 = "d0"
& a733 = "d0"
& a732 = "d0"
& a731 = "d0"
& a730 = "d0"
& a729 = "d0"
& a728 = "d0"
& a727 = "d0"
& a726 = "d0"
& a725 = "d0"
& a724 = "d0"
& a723 = "d0"
& a722 = "d0"
& a721 = "d0"
& a720 = "d0"
& a719 = "d0"
& a718 = "d0"
& a717 = "d0"
& a716 = "d0"
& a715 = "d0"
& a714 = "d0"
& a713 = "d0"
& a712 = "d0"
& a711 = "d0"
& a710 = "d0"
& a709 = "d0"
& a708 = "d0"
& a707 = "d0"
& a706 = "d0"
& a705 = "d0"
& a704 = "d0"
& a703 = "d0"
& a702 = "d0"
& a701 = "d0"
& a700 = "d0"
& a699 = "d0"
& a698 = "d0"
& a697 = "d0"
& a696 = "d0"
& a695 = "d0"
& a694 = "d0"
& a693 = "d0"
& a692 = "d0"
& a691 = "d0"
& a690 = "d0"
& a688 = "d0"
& a687 = "d0"
& a686 = "d0"
& a685 = "d0"
& a684 = "d0"
& a683 = "d0"
& a682 = "d0"
& a681 = "d0"
& a680 = "d0"
& a679 = "d0"
& a678 = "d0"
& a677 = "d0"
& a676 = "d0"
& a675 = "d0"
& a674 = "d0"
& a673 = "d0"
& a672 = "d0"
& a671 = "d0"
& a670 = "d0"
& a669 = "d0"
& a668 = "d0"
& a667 = "d0"
& a666 = "d0"
& a665 = "d0"
& a664 = "d0"
& a663 = "d0"
& a662 = "d0"
& a661 = "d0"
& a660 = "d0"
& a659 = "d0"
& a658 = "d0"
& a657 = "d0"
& a656 = "d0"
& a655 = "d0"
& a654 = "d0"
& a653 = "d0"
& a652 = "d0"
& a651 = "d0"
& a650 = "d0"
& a649 = "d0"
& a648 = "d0"
& a647 = "d0"
& a646 = "d0"
& a645 = "d0"
& a644 = "d0"
& a643 = "d0"
& a642 = "d0"
& a641 = "d0"
& a640 = "d0"
& a639 = "d0"
& a638 = "d0"
& a637 = "d0"
& a636 = "d0"
& a635 = "d0"
& a634 = "d0"
& a633 = "d0"
& a632 = "d0"
& a631 = "d0"
& a630 = "d0"
& a629 = "d0"
& a628 = "d0"
& a627 = "d0"
& a626 = "d0"
& a625 = "d0"
& a624 = "d0"
& a623 = "d0"
& a622 = "d0"
& a621 = "d0"
& a620 = "d0"
& a619 = "d0"
& a618 = "d0"
& a617 = "d0"
& a616 = "d0"
& a615 = "d0"
& a614 = "d0"
& a613 = "d0"
& a612 = "d0"
& a611 = "d0"
& a610 = "d0"
& a609 = "d0"
& a608 = "d0" ) ).
fof(interp_relations,interpretation-mappings,
( ~ c9_2("d1","d1")
& c9_2("d1","d0")
& c9_2("d0","d1")
& c9_2("d0","d0")
& ~ c8_2("d1","d1")
& c8_2("d1","d0")
& ~ c8_2("d0","d1")
& c8_2("d0","d0")
& ~ c7_2("d1","d1")
& ~ c7_2("d1","d0")
& ~ c7_2("d0","d1")
& c7_2("d0","d0")
& ~ c6_2("d1","d1")
& c6_2("d1","d0")
& ~ c6_2("d0","d1")
& c6_2("d0","d0")
& ~ c5_2("d1","d1")
& c5_2("d1","d0")
& ~ c5_2("d0","d1")
& ~ c5_2("d0","d0")
& ~ c4_2("d1","d1")
& ~ c4_2("d1","d0")
& ~ c4_2("d0","d1")
& c4_2("d0","d0")
& ~ c3_2("d1","d1")
& c3_2("d1","d0")
& ~ c3_2("d0","d1")
& c3_2("d0","d0")
& ~ c2_2("d1","d1")
& ~ c2_2("d1","d0")
& ~ c2_2("d0","d1")
& ~ c2_2("d0","d0")
& ~ c1_2("d1","d1")
& ~ c1_2("d1","d0")
& ~ c1_2("d0","d1")
& ~ c1_2("d0","d0")
& ~ c10_2("d1","d1")
& c10_2("d1","d0")
& ~ c10_2("d0","d1")
& c10_2("d0","d0")
& ~ ssSkP9("d1")
& ~ ssSkP9("d0")
& ssSkP8("d1")
& ssSkP8("d0")
& ssSkP7("d1")
& ssSkP7("d0")
& ssSkP6("d1")
& ssSkP6("d0")
& ssSkP5("d1")
& ssSkP5("d0")
& ssSkP4("d1")
& ssSkP4("d0")
& ssSkP3("d1")
& ssSkP3("d0")
& ~ ssSkP2("d1")
& ssSkP2("d0")
& ssSkP11("d1")
& ~ ssSkP11("d0")
& ssSkP10("d1")
& ssSkP10("d0")
& ssSkP1("d1")
& ssSkP1("d0")
& ~ ssSkP0("d1")
& ~ ssSkP0("d0")
& ndr1_1("d1")
& ndr1_1("d0")
& ~ c9_1("d1")
& ~ c9_1("d0")
& c8_1("d1")
& c8_1("d0")
& c7_1("d1")
& c7_1("d0")
& c6_1("d1")
& ~ c6_1("d0")
& c5_1("d1")
& c5_1("d0")
& c4_1("d1")
& ~ c4_1("d0")
& ~ c3_1("d1")
& c3_1("d0")
& ~ c2_1("d1")
& c2_1("d0")
& c1_1("d1")
& c1_1("d0")
& ~ c10_1("d1")
& ~ c10_1("d0")
& ssSkC9
& ssSkC8
& ssSkC7
& ~ ssSkC6
& ssSkC5
& ~ ssSkC4
& ssSkC35
& ~ ssSkC34
& ~ ssSkC33
& ~ ssSkC32
& ssSkC31
& ssSkC30
& ssSkC3
& ssSkC29
& ~ ssSkC28
& ssSkC27
& ~ ssSkC26
& ~ ssSkC25
& ~ ssSkC24
& ~ ssSkC23
& ssSkC22
& ~ ssSkC21
& ssSkC20
& ssSkC2
& ssSkC19
& ssSkC18
& ssSkC17
& ssSkC16
& ssSkC15
& ssSkC14
& ssSkC13
& ~ ssSkC12
& ~ ssSkC11
& ~ ssSkC10
& ssSkC1
& ssSkC0
& ndr1_0
& ~ c9_0
& ~ c8_0
& ~ c7_0
& ~ c6_0
& c5_0
& ~ c4_0
& c3_0
& c2_0
& ~ c1_0
& c10_0 ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN422-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04 % Command : mace4 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n011.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sat Sep 26 17:41:59 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Mace4 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.38 % Process 1184097 was started by sandbox2 on n011,
% 0.09/0.38 % Sat Sep 26 17:41:59 2026
% 0.09/0.38 % The command was "/export/starexec/sandbox2/solver/bin/mace4 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.55/0.50
% 0.55/0.50 % SZS status Satisfiable for theBenchmark
% 0.55/0.50 % SZS output start FiniteModel for theBenchmark
% See solution above
%------------------------------------------------------------------------------