%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL686+1.020 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n019.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 02:08:11 PM UTC 2026
% Result : Theorem 2.68s 1.25s
% Output : CNFRefutation 2.68s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f41ERROR: Could not build tree for root c_5784ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).
fof(f45,plain,
! [X4] :
( ~ sP28(X4)
| ? [X122] :
( ( ~ p1(X122)
| ~ p2(X122) )
& ( p2(X122)
| p1(X122) )
& ( ~ p2(X122)
| ~ p3(X122) )
& ( p3(X122)
| p2(X122) )
& ( ~ p3(X122)
| ~ p4(X122) )
& ( p4(X122)
| p3(X122) )
& ( ~ p4(X122)
| ~ p5(X122) )
& ( p5(X122)
| p4(X122) )
& ( ~ p5(X122)
| ~ p6(X122) )
& ( p6(X122)
| p5(X122) )
& ( ~ p6(X122)
| ~ p7(X122) )
& ( p7(X122)
| p6(X122) )
& ( ~ p7(X122)
| ~ p8(X122) )
& ( p8(X122)
| p7(X122) )
& ( ~ p8(X122)
| ~ p9(X122) )
& ( p9(X122)
| p8(X122) )
& ( ~ p9(X122)
| ~ p10(X122) )
& ( p10(X122)
| p9(X122) )
& ( ~ p10(X122)
| ~ p11(X122) )
& ( p11(X122)
| p10(X122) )
& ( ~ p11(X122)
| ~ p12(X122) )
& ( p12(X122)
| p11(X122) )
& ( ~ p12(X122)
| ~ p13(X122) )
& ( p13(X122)
| p12(X122) )
& ( ~ p13(X122)
| ~ p14(X122) )
& ( p14(X122)
| p13(X122) )
& ( ~ p14(X122)
| ~ p15(X122) )
& ( p15(X122)
| p14(X122) )
& ( ~ p15(X122)
| ~ p16(X122) )
& ( p16(X122)
| p15(X122) )
& ( ~ p16(X122)
| ~ p17(X122) )
& ( p17(X122)
| p16(X122) )
& ( ~ p17(X122)
| ~ p18(X122) )
& ( p18(X122)
| p17(X122) )
& ( ~ p18(X122)
| ~ p19(X122) )
& ( p19(X122)
| p18(X122) )
& ( ~ p19(X122)
| ~ p20(X122) )
& ( p20(X122)
| p19(X122) )
& ( ~ p20(X122)
| ~ p21(X122) )
& ( p21(X122)
| p20(X122) )
& ( ~ p21(X122)
| ~ p22(X122) )
& ( p22(X122)
| p21(X122) )
& ( ~ p22(X122)
| ~ p23(X122) )
& ( p23(X122)
| p22(X122) )
& ( ~ p23(X122)
| ~ p24(X122) )
& ( p24(X122)
| p23(X122) )
& ( ~ p24(X122)
| ~ p25(X122) )
& ( p25(X122)
| p24(X122) )
& ( ~ p25(X122)
| ~ p26(X122) )
& ( p26(X122)
| p25(X122) )
& ( ~ p26(X122)
| ~ p27(X122) )
& ( p27(X122)
| p26(X122) )
& ( ~ p27(X122)
| ~ p28(X122) )
& ( p28(X122)
| p27(X122) )
& ( ~ p28(X122)
| ~ p29(X122) )
& ( p29(X122)
| p28(X122) )
& ( ~ p29(X122)
| ~ p30(X122) )
& ( p30(X122)
| p29(X122) )
& ( ~ p30(X122)
| ~ p31(X122) )
& ( p31(X122)
| p30(X122) )
& ( ~ p31(X122)
| ~ p32(X122) )
& ( p32(X122)
| p31(X122) )
& ( ~ p32(X122)
| ~ p33(X122) )
& ( p33(X122)
| p32(X122) )
& ( ~ p33(X122)
| ~ p34(X122) )
& ( p34(X122)
| p33(X122) )
& ( ~ p34(X122)
| ~ p35(X122) )
& ( p35(X122)
| p34(X122) )
& ( ~ p35(X122)
| ~ p36(X122) )
& ( p36(X122)
| p35(X122) )
& ( ~ p36(X122)
| ~ p37(X122) )
& ( p37(X122)
| p36(X122) )
& ( ~ p37(X122)
| ~ p38(X122) )
& ( p38(X122)
| p37(X122) )
& ( ~ p38(X122)
| ~ p39(X122) )
& ( p39(X122)
| p38(X122) )
& ( ~ p39(X122)
| ~ p40(X122) )
& ( p40(X122)
| p39(X122) )
& ( ~ p40(X122)
| ~ p41(X122) )
& ( p41(X122)
| p40(X122) )
& ( ~ p41(X122)
| ~ p42(X122) )
& ( p42(X122)
| p41(X122) )
& ( ~ p42(X122)
| ~ p43(X122) )
& ( p43(X122)
| p42(X122) )
& ( ~ p43(X122)
| ~ p44(X122) )
& ( p44(X122)
| p43(X122) )
& ( ~ p44(X122)
| ~ p45(X122) )
& ( p45(X122)
| p44(X122) )
& ( ~ p45(X122)
| ~ p46(X122) )
& ( p46(X122)
| p45(X122) )
& ( ~ p46(X122)
| ~ p47(X122) )
& ( p47(X122)
| p46(X122) )
& ( ~ p47(X122)
| ~ p48(X122) )
& ( p48(X122)
| p47(X122) )
& ( ~ p48(X122)
| ~ p49(X122) )
& ( p49(X122)
| p48(X122) )
& ( ~ p49(X122)
| ~ p50(X122) )
& ( p50(X122)
| p49(X122) )
& ( ~ p50(X122)
| ~ p51(X122) )
& ( p51(X122)
| p50(X122) )
& ( ~ p51(X122)
| ~ p52(X122) )
& ( p52(X122)
| p51(X122) )
& ( ~ p52(X122)
| ~ p53(X122) )
& ( p53(X122)
| p52(X122) )
& ( ~ p53(X122)
| ~ p54(X122) )
& ( p54(X122)
| p53(X122) )
& ( ~ p54(X122)
| ~ p55(X122) )
& ( p55(X122)
| p54(X122) )
& ( ~ p55(X122)
| ~ p56(X122) )
& ( p56(X122)
| p55(X122) )
& ( ~ p56(X122)
| ~ p57(X122) )
& ( p57(X122)
| p56(X122) )
& ( ~ p57(X122)
| ~ p58(X122) )
& ( p58(X122)
| p57(X122) )
& ( ~ p58(X122)
| ~ p59(X122) )
& ( p59(X122)
| p58(X122) )
& r1(X4,X122) ) ),
inference(nnf_transformation,[],[f39]) ).
fof(f46,plain,
! [X0] :
( ~ sP28(X0)
| ? [X1] :
( ( ~ p1(X1)
| ~ p2(X1) )
& ( p2(X1)
| p1(X1) )
& ( ~ p2(X1)
| ~ p3(X1) )
& ( p3(X1)
| p2(X1) )
& ( ~ p3(X1)
| ~ p4(X1) )
& ( p4(X1)
| p3(X1) )
& ( ~ p4(X1)
| ~ p5(X1) )
& ( p5(X1)
| p4(X1) )
& ( ~ p5(X1)
| ~ p6(X1) )
& ( p6(X1)
| p5(X1) )
& ( ~ p6(X1)
| ~ p7(X1) )
& ( p7(X1)
| p6(X1) )
& ( ~ p7(X1)
| ~ p8(X1) )
& ( p8(X1)
| p7(X1) )
& ( ~ p8(X1)
| ~ p9(X1) )
& ( p9(X1)
| p8(X1) )
& ( ~ p9(X1)
| ~ p10(X1) )
& ( p10(X1)
| p9(X1) )
& ( ~ p10(X1)
| ~ p11(X1) )
& ( p11(X1)
| p10(X1) )
& ( ~ p11(X1)
| ~ p12(X1) )
& ( p12(X1)
| p11(X1) )
& ( ~ p12(X1)
| ~ p13(X1) )
& ( p13(X1)
| p12(X1) )
& ( ~ p13(X1)
| ~ p14(X1) )
& ( p14(X1)
| p13(X1) )
& ( ~ p14(X1)
| ~ p15(X1) )
& ( p15(X1)
| p14(X1) )
& ( ~ p15(X1)
| ~ p16(X1) )
& ( p16(X1)
| p15(X1) )
& ( ~ p16(X1)
| ~ p17(X1) )
& ( p17(X1)
| p16(X1) )
& ( ~ p17(X1)
| ~ p18(X1) )
& ( p18(X1)
| p17(X1) )
& ( ~ p18(X1)
| ~ p19(X1) )
& ( p19(X1)
| p18(X1) )
& ( ~ p19(X1)
| ~ p20(X1) )
& ( p20(X1)
| p19(X1) )
& ( ~ p20(X1)
| ~ p21(X1) )
& ( p21(X1)
| p20(X1) )
& ( ~ p21(X1)
| ~ p22(X1) )
& ( p22(X1)
| p21(X1) )
& ( ~ p22(X1)
| ~ p23(X1) )
& ( p23(X1)
| p22(X1) )
& ( ~ p23(X1)
| ~ p24(X1) )
& ( p24(X1)
| p23(X1) )
& ( ~ p24(X1)
| ~ p25(X1) )
& ( p25(X1)
| p24(X1) )
& ( ~ p25(X1)
| ~ p26(X1) )
& ( p26(X1)
| p25(X1) )
& ( ~ p26(X1)
| ~ p27(X1) )
& ( p27(X1)
| p26(X1) )
& ( ~ p27(X1)
| ~ p28(X1) )
& ( p28(X1)
| p27(X1) )
& ( ~ p28(X1)
| ~ p29(X1) )
& ( p29(X1)
| p28(X1) )
& ( ~ p29(X1)
| ~ p30(X1) )
& ( p30(X1)
| p29(X1) )
& ( ~ p30(X1)
| ~ p31(X1) )
& ( p31(X1)
| p30(X1) )
& ( ~ p31(X1)
| ~ p32(X1) )
& ( p32(X1)
| p31(X1) )
& ( ~ p32(X1)
| ~ p33(X1) )
& ( p33(X1)
| p32(X1) )
& ( ~ p33(X1)
| ~ p34(X1) )
& ( p34(X1)
| p33(X1) )
& ( ~ p34(X1)
| ~ p35(X1) )
& ( p35(X1)
| p34(X1) )
& ( ~ p35(X1)
| ~ p36(X1) )
& ( p36(X1)
| p35(X1) )
& ( ~ p36(X1)
| ~ p37(X1) )
& ( p37(X1)
| p36(X1) )
& ( ~ p37(X1)
| ~ p38(X1) )
& ( p38(X1)
| p37(X1) )
& ( ~ p38(X1)
| ~ p39(X1) )
& ( p39(X1)
| p38(X1) )
& ( ~ p39(X1)
| ~ p40(X1) )
& ( p40(X1)
| p39(X1) )
& ( ~ p40(X1)
| ~ p41(X1) )
& ( p41(X1)
| p40(X1) )
& ( ~ p41(X1)
| ~ p42(X1) )
& ( p42(X1)
| p41(X1) )
& ( ~ p42(X1)
| ~ p43(X1) )
& ( p43(X1)
| p42(X1) )
& ( ~ p43(X1)
| ~ p44(X1) )
& ( p44(X1)
| p43(X1) )
& ( ~ p44(X1)
| ~ p45(X1) )
& ( p45(X1)
| p44(X1) )
& ( ~ p45(X1)
| ~ p46(X1) )
& ( p46(X1)
| p45(X1) )
& ( ~ p46(X1)
| ~ p47(X1) )
& ( p47(X1)
| p46(X1) )
& ( ~ p47(X1)
| ~ p48(X1) )
& ( p48(X1)
| p47(X1) )
& ( ~ p48(X1)
| ~ p49(X1) )
& ( p49(X1)
| p48(X1) )
& ( ~ p49(X1)
| ~ p50(X1) )
& ( p50(X1)
| p49(X1) )
& ( ~ p50(X1)
| ~ p51(X1) )
& ( p51(X1)
| p50(X1) )
& ( ~ p51(X1)
| ~ p52(X1) )
& ( p52(X1)
| p51(X1) )
& ( ~ p52(X1)
| ~ p53(X1) )
& ( p53(X1)
| p52(X1) )
& ( ~ p53(X1)
| ~ p54(X1) )
& ( p54(X1)
| p53(X1) )
& ( ~ p54(X1)
| ~ p55(X1) )
& ( p55(X1)
| p54(X1) )
& ( ~ p55(X1)
| ~ p56(X1) )
& ( p56(X1)
| p55(X1) )
& ( ~ p56(X1)
| ~ p57(X1) )
& ( p57(X1)
| p56(X1) )
& ( ~ p57(X1)
| ~ p58(X1) )
& ( p58(X1)
| p57(X1) )
& ( ~ p58(X1)
| ~ p59(X1) )
& ( p59(X1)
| p58(X1) )
& r1(X0,X1) ) ),
inference(rectify,[],[f45]) ).
fof(f47,plain,
! [X0] :
( ~ sP28(X0)
| ( ( ~ p1(sK31(X0))
| ~ p2(sK31(X0)) )
& ( p2(sK31(X0))
| p1(sK31(X0)) )
& ( ~ p2(sK31(X0))
| ~ p3(sK31(X0)) )
& ( p3(sK31(X0))
| p2(sK31(X0)) )
& ( ~ p3(sK31(X0))
| ~ p4(sK31(X0)) )
& ( p4(sK31(X0))
| p3(sK31(X0)) )
& ( ~ p4(sK31(X0))
| ~ p5(sK31(X0)) )
& ( p5(sK31(X0))
| p4(sK31(X0)) )
& ( ~ p5(sK31(X0))
| ~ p6(sK31(X0)) )
& ( p6(sK31(X0))
| p5(sK31(X0)) )
& ( ~ p6(sK31(X0))
| ~ p7(sK31(X0)) )
& ( p7(sK31(X0))
| p6(sK31(X0)) )
& ( ~ p7(sK31(X0))
| ~ p8(sK31(X0)) )
& ( p8(sK31(X0))
| p7(sK31(X0)) )
& ( ~ p8(sK31(X0))
| ~ p9(sK31(X0)) )
& ( p9(sK31(X0))
| p8(sK31(X0)) )
& ( ~ p9(sK31(X0))
| ~ p10(sK31(X0)) )
& ( p10(sK31(X0))
| p9(sK31(X0)) )
& ( ~ p10(sK31(X0))
| ~ p11(sK31(X0)) )
& ( p11(sK31(X0))
| p10(sK31(X0)) )
& ( ~ p11(sK31(X0))
| ~ p12(sK31(X0)) )
& ( p12(sK31(X0))
| p11(sK31(X0)) )
& ( ~ p12(sK31(X0))
| ~ p13(sK31(X0)) )
& ( p13(sK31(X0))
| p12(sK31(X0)) )
& ( ~ p13(sK31(X0))
| ~ p14(sK31(X0)) )
& ( p14(sK31(X0))
| p13(sK31(X0)) )
& ( ~ p14(sK31(X0))
| ~ p15(sK31(X0)) )
& ( p15(sK31(X0))
| p14(sK31(X0)) )
& ( ~ p15(sK31(X0))
| ~ p16(sK31(X0)) )
& ( p16(sK31(X0))
| p15(sK31(X0)) )
& ( ~ p16(sK31(X0))
| ~ p17(sK31(X0)) )
& ( p17(sK31(X0))
| p16(sK31(X0)) )
& ( ~ p17(sK31(X0))
| ~ p18(sK31(X0)) )
& ( p18(sK31(X0))
| p17(sK31(X0)) )
& ( ~ p18(sK31(X0))
| ~ p19(sK31(X0)) )
& ( p19(sK31(X0))
| p18(sK31(X0)) )
& ( ~ p19(sK31(X0))
| ~ p20(sK31(X0)) )
& ( p20(sK31(X0))
| p19(sK31(X0)) )
& ( ~ p20(sK31(X0))
| ~ p21(sK31(X0)) )
& ( p21(sK31(X0))
| p20(sK31(X0)) )
& ( ~ p21(sK31(X0))
| ~ p22(sK31(X0)) )
& ( p22(sK31(X0))
| p21(sK31(X0)) )
& ( ~ p22(sK31(X0))
| ~ p23(sK31(X0)) )
& ( p23(sK31(X0))
| p22(sK31(X0)) )
& ( ~ p23(sK31(X0))
| ~ p24(sK31(X0)) )
& ( p24(sK31(X0))
| p23(sK31(X0)) )
& ( ~ p24(sK31(X0))
| ~ p25(sK31(X0)) )
& ( p25(sK31(X0))
| p24(sK31(X0)) )
& ( ~ p25(sK31(X0))
| ~ p26(sK31(X0)) )
& ( p26(sK31(X0))
| p25(sK31(X0)) )
& ( ~ p26(sK31(X0))
| ~ p27(sK31(X0)) )
& ( p27(sK31(X0))
| p26(sK31(X0)) )
& ( ~ p27(sK31(X0))
| ~ p28(sK31(X0)) )
& ( p28(sK31(X0))
| p27(sK31(X0)) )
& ( ~ p28(sK31(X0))
| ~ p29(sK31(X0)) )
& ( p29(sK31(X0))
| p28(sK31(X0)) )
& ( ~ p29(sK31(X0))
| ~ p30(sK31(X0)) )
& ( p30(sK31(X0))
| p29(sK31(X0)) )
& ( ~ p30(sK31(X0))
| ~ p31(sK31(X0)) )
& ( p31(sK31(X0))
| p30(sK31(X0)) )
& ( ~ p31(sK31(X0))
| ~ p32(sK31(X0)) )
& ( p32(sK31(X0))
| p31(sK31(X0)) )
& ( ~ p32(sK31(X0))
| ~ p33(sK31(X0)) )
& ( p33(sK31(X0))
| p32(sK31(X0)) )
& ( ~ p33(sK31(X0))
| ~ p34(sK31(X0)) )
& ( p34(sK31(X0))
| p33(sK31(X0)) )
& ( ~ p34(sK31(X0))
| ~ p35(sK31(X0)) )
& ( p35(sK31(X0))
| p34(sK31(X0)) )
& ( ~ p35(sK31(X0))
| ~ p36(sK31(X0)) )
& ( p36(sK31(X0))
| p35(sK31(X0)) )
& ( ~ p36(sK31(X0))
| ~ p37(sK31(X0)) )
& ( p37(sK31(X0))
| p36(sK31(X0)) )
& ( ~ p37(sK31(X0))
| ~ p38(sK31(X0)) )
& ( p38(sK31(X0))
| p37(sK31(X0)) )
& ( ~ p38(sK31(X0))
| ~ p39(sK31(X0)) )
& ( p39(sK31(X0))
| p38(sK31(X0)) )
& ( ~ p39(sK31(X0))
| ~ p40(sK31(X0)) )
& ( p40(sK31(X0))
| p39(sK31(X0)) )
& ( ~ p40(sK31(X0))
| ~ p41(sK31(X0)) )
& ( p41(sK31(X0))
| p40(sK31(X0)) )
& ( ~ p41(sK31(X0))
| ~ p42(sK31(X0)) )
& ( p42(sK31(X0))
| p41(sK31(X0)) )
& ( ~ p42(sK31(X0))
| ~ p43(sK31(X0)) )
& ( p43(sK31(X0))
| p42(sK31(X0)) )
& ( ~ p43(sK31(X0))
| ~ p44(sK31(X0)) )
& ( p44(sK31(X0))
| p43(sK31(X0)) )
& ( ~ p44(sK31(X0))
| ~ p45(sK31(X0)) )
& ( p45(sK31(X0))
| p44(sK31(X0)) )
& ( ~ p45(sK31(X0))
| ~ p46(sK31(X0)) )
& ( p46(sK31(X0))
| p45(sK31(X0)) )
& ( ~ p46(sK31(X0))
| ~ p47(sK31(X0)) )
& ( p47(sK31(X0))
| p46(sK31(X0)) )
& ( ~ p47(sK31(X0))
| ~ p48(sK31(X0)) )
& ( p48(sK31(X0))
| p47(sK31(X0)) )
& ( ~ p48(sK31(X0))
| ~ p49(sK31(X0)) )
& ( p49(sK31(X0))
| p48(sK31(X0)) )
& ( ~ p49(sK31(X0))
| ~ p50(sK31(X0)) )
& ( p50(sK31(X0))
| p49(sK31(X0)) )
& ( ~ p50(sK31(X0))
| ~ p51(sK31(X0)) )
& ( p51(sK31(X0))
| p50(sK31(X0)) )
& ( ~ p51(sK31(X0))
| ~ p52(sK31(X0)) )
& ( p52(sK31(X0))
| p51(sK31(X0)) )
& ( ~ p52(sK31(X0))
| ~ p53(sK31(X0)) )
& ( p53(sK31(X0))
| p52(sK31(X0)) )
& ( ~ p53(sK31(X0))
| ~ p54(sK31(X0)) )
& ( p54(sK31(X0))
| p53(sK31(X0)) )
& ( ~ p54(sK31(X0))
| ~ p55(sK31(X0)) )
& ( p55(sK31(X0))
| p54(sK31(X0)) )
& ( ~ p55(sK31(X0))
| ~ p56(sK31(X0)) )
& ( p56(sK31(X0))
| p55(sK31(X0)) )
& ( ~ p56(sK31(X0))
| ~ p57(sK31(X0)) )
& ( p57(sK31(X0))
| p56(sK31(X0)) )
& ( ~ p57(sK31(X0))
| ~ p58(sK31(X0)) )
& ( p58(sK31(X0))
| p57(sK31(X0)) )
& ( ~ p58(sK31(X0))
| ~ p59(sK31(X0)) )
& ( p59(sK31(X0))
| p58(sK31(X0)) )
& r1(X0,sK31(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK31]),skolemize(X1,sK31(X0))],[f46]) ).
fof(f132,plain,
? [X0] :
( ? [X3] :
( ! [X4] :
( ( sP28(X4)
& ? [X6] :
( ~ p60(X6)
& r1(X4,X6) )
& ! [X5] :
( ( ( ~ p1(X5)
| p2(X5) )
& ( p1(X5)
| ~ p2(X5) ) )
| ~ r1(X4,X5) )
& sP29(X4) )
| ~ r1(X3,X4) )
& r1(X0,X3) )
& ? [X1] :
( ? [X2] :
( p1(X2)
& r1(X1,X2) )
& p60(X1)
& r1(X0,X1) ) ),
inference(rectify,[],[f41]) ).
fof(f133,plain,
( ! [X4] :
( ( sP28(X4)
& ~ p60(sK93(X4))
& r1(X4,sK93(X4))
& ! [X5] :
( ( ( ~ p1(X5)
| p2(X5) )
& ( p1(X5)
| ~ p2(X5) ) )
| ~ r1(X4,X5) )
& sP29(X4) )
| ~ r1(sK92,X4) )
& r1(sK89,sK92)
& p1(sK91)
& r1(sK90,sK91)
& p60(sK90)
& r1(sK89,sK90) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK89,sK90,sK91,sK92,sK93]),skolemize(X0,sK89),skolemize(X1,sK90),skolemize(X2,sK91),skolemize(X3,sK92),skolemize(X6,sK93(X4))],[f132]) ).
fof(f134,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f140,plain,
! [X0] :
( ~ sP28(X0)
| ~ p1(sK31(X0))
| ~ p2(sK31(X0)) ),
inference(cnf_transformation,[],[f47]) ).
fof(f141,plain,
! [X0] :
( ~ sP28(X0)
| p2(sK31(X0))
| p1(sK31(X0)) ),
inference(cnf_transformation,[],[f47]) ).
fof(f256,plain,
! [X0] :
( ~ sP28(X0)
| r1(X0,sK31(X0)) ),
inference(cnf_transformation,[],[f47]) ).
fof(f453,plain,
! [X4] :
( sP28(X4)
| ~ r1(sK92,X4) ),
inference(cnf_transformation,[],[f133]) ).
fof(f456,plain,
! [X4,X5] :
( ~ p1(X5)
| p2(X5)
| ~ r1(X4,X5)
| ~ r1(sK92,X4) ),
inference(cnf_transformation,[],[f133]) ).
fof(f457,plain,
! [X4,X5] :
( p1(X5)
| ~ p2(X5)
| ~ r1(X4,X5)
| ~ r1(sK92,X4) ),
inference(cnf_transformation,[],[f133]) ).
tcf(c_49,plain,
! [X0: $i] : r1(X0,X0),
inference(cnf_transformation,[],[f134]) ).
tcf(c_55,plain,
! [X0: $i] :
( r1(X0,sK31(X0))
| ~ sP28(X0) ),
inference(cnf_transformation,[],[f256]) ).
tcf(c_170,plain,
! [X0: $i] :
( p1(sK31(X0))
| p2(sK31(X0))
| ~ sP28(X0) ),
inference(cnf_transformation,[],[f141]) ).
tcf(c_171,plain,
! [X0: $i] :
( ~ sP28(X0)
| ~ p1(sK31(X0))
| ~ p2(sK31(X0)) ),
inference(cnf_transformation,[],[f140]) ).
tcf(c_374,negated_conjecture,
! [X0: $i,X1: $i] :
( p1(X1)
| ~ p2(X1)
| ~ r1(sK92,X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f457]) ).
tcf(c_375,negated_conjecture,
! [X0: $i,X1: $i] :
( p2(X1)
| ~ p1(X1)
| ~ r1(sK92,X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f456]) ).
tcf(c_378,negated_conjecture,
! [X0: $i] :
( sP28(X0)
| ~ r1(sK92,X0) ),
inference(cnf_transformation,[],[f453]) ).
tcf(c_379,plain,
r1(sK92,sK92),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_380,plain,
( sP28(sK92)
| ~ r1(sK92,sK92) ),
inference(instantiation,[status(thm)],[c_378]) ).
tcf(c_438,plain,
( r1(sK92,sK31(sK92))
| ~ sP28(sK92) ),
inference(instantiation,[status(thm)],[c_55]) ).
tcf(c_5768,plain,
! [X0: $i,X1: $i] :
( ~ sP28(X1)
| ~ p1(sK31(X1))
| ~ r1(sK92,X0)
| ~ r1(X0,sK31(X1)) ),
inference(resolution,[status(thm)],[c_375,c_171]) ).
tcf(c_5769,plain,
( ~ sP28(sK92)
| ~ p1(sK31(sK92))
| ~ r1(sK92,sK92)
| ~ r1(sK92,sK31(sK92)) ),
inference(instantiation,[status(thm)],[c_5768]) ).
tcf(c_5782,plain,
! [X0: $i,X1: $i] :
( p1(sK31(X1))
| ~ sP28(X1)
| ~ r1(sK92,X0)
| ~ r1(X0,sK31(X1)) ),
inference(resolution,[status(thm)],[c_374,c_170]) ).
tcf(c_5783,plain,
( p1(sK31(sK92))
| ~ sP28(sK92)
| ~ r1(sK92,sK92)
| ~ r1(sK92,sK31(sK92)) ),
inference(instantiation,[status(thm)],[c_5782]) ).
tcf(c_5784,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_5783,c_5769,c_438,c_380,c_379]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL686+1.020 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.35 % Computer : n019.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 : Thu Sep 24 00:20:19 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.40
% 0.13/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.40
% 0.13/0.40 % Detected problem language: tptp
% 0.13/0.41 % Proving...
% 2.68/1.25 % SZS status Started for theBenchmark.p
% 2.68/1.25 % SZS status Theorem for theBenchmark.p
% 2.68/1.25
% 2.68/1.25 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.68/1.25
% 2.68/1.25 % ------ iProver source info
% 2.68/1.25
% 2.68/1.25 % git: date: 2026-07-19 20:42:38 +0200
% 2.68/1.25 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.68/1.25 % git: non_committed_changes: false
% 2.68/1.25
% 2.68/1.25 % ------ Parsing...
% 2.68/1.25 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.68/1.25
% 2.68/1.25 % ------ Preprocessing... sf_s rm: 2 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe:32:0s pe:64:0s%
% 2.68/1.25
% 2.68/1.25 % SZS status Theorem for theBenchmark.p
% 2.68/1.25
% 2.68/1.25 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.68/1.25
% 2.68/1.25
%------------------------------------------------------------------------------