%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : PUZ142^1 : TPTP v9.3.1. Released v6.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 : Wed Sep 30 08:20:43 AM UTC 2026
% Result : Theorem 1.69s 0.52s
% Output : CNFRefutation 1.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 27
% Syntax : Number of formulae : 121 ( 75 unt; 0 typ; 0 def)
% Number of atoms : 196 ( 98 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 602 ( 58 ~; 53 |; 8 &; 469 @)
% ( 8 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 25 ( 22 usr; 20 con; 0-2 aty)
% Number of variables : 73 ( 0 ^; 71 !; 2 ?; 73 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
direction: $tType ).
thf(decl_sort2,type,
position: $tType ).
thf(decl_sort3,type,
movelist: $tType ).
thf(decl_23,type,
left: direction ).
thf(decl_24,type,
right: direction ).
thf(decl_25,type,
top: direction ).
thf(decl_26,type,
bottom: direction ).
thf(decl_27,type,
next: position > direction > position ).
thf(decl_28,type,
wall: position > $o ).
thf(decl_29,type,
nomove: movelist ).
thf(decl_30,type,
movedir: movelist > direction > movelist ).
thf(decl_31,type,
playerpos: movelist > position ).
thf(decl_32,type,
c00: position ).
thf(decl_33,type,
c10: position ).
thf(decl_34,type,
c20: position ).
thf(decl_35,type,
c30: position ).
thf(decl_37,type,
c01: position ).
thf(decl_38,type,
c11: position ).
thf(decl_39,type,
c21: position ).
thf(decl_40,type,
c31: position ).
thf(decl_42,type,
c02: position ).
thf(decl_43,type,
c12: position ).
thf(decl_44,type,
c22: position ).
thf(decl_45,type,
c32: position ).
thf(decl_48,type,
c13: position ).
thf(player_move_legal,axiom,
! [X4: position,X5: movelist,X6: direction] :
( ( ( playerpos @ X5 )
= X4 )
=> ( ~ ( wall @ ( next @ X4 @ X6 ) )
=> ( ( playerpos @ ( movedir @ X5 @ X6 ) )
= ( next @ X4 @ X6 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.xDbr6iyXe5/E---3.1_2097890.p',player_move_legal) ).
thf(player_move_illegal,axiom,
! [X4: position,X5: movelist,X6: direction] :
( ( ( playerpos @ X5 )
= X4 )
=> ( ( wall @ ( next @ X4 @ X6 ) )
=> ( ( playerpos @ ( movedir @ X5 @ X6 ) )
= X4 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.xDbr6iyXe5/E---3.1_2097890.p',player_move_illegal) ).
thf(c12_axiom,axiom,
( ( wall @ c12 )
<=> ~ $true ),
file('/export/starexec/sandbox2/tmp/tmp.xDbr6iyXe5/E---3.1_2097890.p',c12_axiom) ).
thf(start_axiom,axiom,
( ( playerpos @ nomove )
= c11 ),
file('/export/starexec/sandbox2/tmp/tmp.xDbr6iyXe5/E---3.1_2097890.p',start_axiom) ).
thf(c13_axiom,axiom,
( ( wall @ c13 )
<=> $true ),
file('/export/starexec/sandbox2/tmp/tmp.xDbr6iyXe5/E---3.1_2097890.p',c13_axiom) ).
thf(left_right,axiom,
! [X3: position] :
( ( next @ ( next @ X3 @ left ) @ right )
= X3 ),
file('/export/starexec/sandbox2/tmp/tmp.xDbr6iyXe5/E---3.1_2097890.p',left_right) ).
thf(next_comm,axiom,
! [X1: direction,X2: direction,X3: position] :
( ( next @ ( next @ X3 @ X1 ) @ X2 )
= ( next @ ( next @ X3 @ X2 ) @ X1 ) ),
file('/export/starexec/sandbox2/tmp/tmp.xDbr6iyXe5/E---3.1_2097890.p',next_comm) ).
thf(c12_defin,axiom,
( c12
= ( next @ c11 @ top ) ),
file('/export/starexec/sandbox2/tmp/tmp.xDbr6iyXe5/E---3.1_2097890.p',c12_defin) ).
thf(c13_defin,axiom,
( c13
= ( next @ c12 @ top ) ),
file('/export/starexec/sandbox2/tmp/tmp.xDbr6iyXe5/E---3.1_2097890.p',c13_defin) ).
thf(top_bottom,axiom,
! [X3: position] :
( ( next @ ( next @ X3 @ top ) @ bottom )
= X3 ),
file('/export/starexec/sandbox2/tmp/tmp.xDbr6iyXe5/E---3.1_2097890.p',top_bottom) ).
thf(c31_defin,axiom,
( c31
= ( next @ c30 @ top ) ),
file('/export/starexec/sandbox2/tmp/tmp.xDbr6iyXe5/E---3.1_2097890.p',c31_defin) ).
thf(c30_defin,axiom,
( c30
= ( next @ c20 @ right ) ),
file('/export/starexec/sandbox2/tmp/tmp.xDbr6iyXe5/E---3.1_2097890.p',c30_defin) ).
thf(c11_defin,axiom,
( c11
= ( next @ c10 @ top ) ),
file('/export/starexec/sandbox2/tmp/tmp.xDbr6iyXe5/E---3.1_2097890.p',c11_defin) ).
thf(c10_defin,axiom,
( c10
= ( next @ c00 @ right ) ),
file('/export/starexec/sandbox2/tmp/tmp.xDbr6iyXe5/E---3.1_2097890.p',c10_defin) ).
thf(c21_defin,axiom,
( c21
= ( next @ c20 @ top ) ),
file('/export/starexec/sandbox2/tmp/tmp.xDbr6iyXe5/E---3.1_2097890.p',c21_defin) ).
thf(c01_defin,axiom,
( c01
= ( next @ c00 @ top ) ),
file('/export/starexec/sandbox2/tmp/tmp.xDbr6iyXe5/E---3.1_2097890.p',c01_defin) ).
thf(c02_axiom,axiom,
( ( wall @ c02 )
<=> $true ),
file('/export/starexec/sandbox2/tmp/tmp.xDbr6iyXe5/E---3.1_2097890.p',c02_axiom) ).
thf(c02_defin,axiom,
( c02
= ( next @ c01 @ top ) ),
file('/export/starexec/sandbox2/tmp/tmp.xDbr6iyXe5/E---3.1_2097890.p',c02_defin) ).
thf(c01_axiom,axiom,
( ( wall @ c01 )
<=> $true ),
file('/export/starexec/sandbox2/tmp/tmp.xDbr6iyXe5/E---3.1_2097890.p',c01_axiom) ).
thf(c20_defin,axiom,
( c20
= ( next @ c10 @ right ) ),
file('/export/starexec/sandbox2/tmp/tmp.xDbr6iyXe5/E---3.1_2097890.p',c20_defin) ).
thf(exercise,conjecture,
? [X5: movelist] :
( ( playerpos @ X5 )
= c31 ),
file('/export/starexec/sandbox2/tmp/tmp.xDbr6iyXe5/E---3.1_2097890.p',exercise) ).
thf(c22_axiom,axiom,
( ( wall @ c22 )
<=> ~ $true ),
file('/export/starexec/sandbox2/tmp/tmp.xDbr6iyXe5/E---3.1_2097890.p',c22_axiom) ).
thf(c22_defin,axiom,
( c22
= ( next @ c21 @ top ) ),
file('/export/starexec/sandbox2/tmp/tmp.xDbr6iyXe5/E---3.1_2097890.p',c22_defin) ).
thf(c21_axiom,axiom,
( ( wall @ c21 )
<=> $true ),
file('/export/starexec/sandbox2/tmp/tmp.xDbr6iyXe5/E---3.1_2097890.p',c21_axiom) ).
thf(c32_axiom,axiom,
( ( wall @ c32 )
<=> ~ $true ),
file('/export/starexec/sandbox2/tmp/tmp.xDbr6iyXe5/E---3.1_2097890.p',c32_axiom) ).
thf(c32_defin,axiom,
( c32
= ( next @ c31 @ top ) ),
file('/export/starexec/sandbox2/tmp/tmp.xDbr6iyXe5/E---3.1_2097890.p',c32_defin) ).
thf(c31_axiom,axiom,
( ( wall @ c31 )
<=> ~ $true ),
file('/export/starexec/sandbox2/tmp/tmp.xDbr6iyXe5/E---3.1_2097890.p',c31_axiom) ).
thf(c_0_27,plain,
! [X4: position,X5: movelist,X6: direction] :
( ( ( playerpos @ X5 )
= X4 )
=> ( ~ ( wall @ ( next @ X4 @ X6 ) )
=> ( ( playerpos @ ( movedir @ X5 @ X6 ) )
= ( next @ X4 @ X6 ) ) ) ),
inference(fof_simplification,[status(thm)],[player_move_legal]) ).
thf(c_0_28,plain,
! [X27: position,X28: movelist,X29: direction] :
( ( ( playerpos @ X28 )
!= X27 )
| ~ ( wall @ ( next @ X27 @ X29 ) )
| ( ( playerpos @ ( movedir @ X28 @ X29 ) )
= X27 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[player_move_illegal])])]) ).
thf(c_0_29,plain,
! [X24: position,X25: movelist,X26: direction] :
( ( ( playerpos @ X25 )
!= X24 )
| ( wall @ ( next @ X24 @ X26 ) )
| ( ( playerpos @ ( movedir @ X25 @ X26 ) )
= ( next @ X24 @ X26 ) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])]) ).
thf(c_0_30,plain,
! [X5: movelist,X3: position,X1: direction] :
( ( ( playerpos @ ( movedir @ X5 @ X1 ) )
= X3 )
| ( ( playerpos @ X5 )
!= X3 )
| ~ ( wall @ ( next @ X3 @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
thf(c_0_31,plain,
! [X5: movelist,X1: direction,X3: position] :
( ( wall @ ( next @ X3 @ X1 ) )
| ( ( playerpos @ ( movedir @ X5 @ X1 ) )
= ( next @ X3 @ X1 ) )
| ( ( playerpos @ X5 )
!= X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
thf(c_0_32,plain,
! [X5: movelist,X1: direction] :
( ( ( playerpos @ ( movedir @ X5 @ X1 ) )
= ( playerpos @ X5 ) )
| ~ ( wall @ ( next @ ( playerpos @ X5 ) @ X1 ) ) ),
inference(er,[status(thm)],[c_0_30]) ).
thf(c_0_33,plain,
! [X5: movelist,X1: direction] :
( ( ( playerpos @ ( movedir @ X5 @ X1 ) )
= ( next @ ( playerpos @ X5 ) @ X1 ) )
| ( wall @ ( next @ ( playerpos @ X5 ) @ X1 ) ) ),
inference(er,[status(thm)],[c_0_31]) ).
thf(c_0_34,plain,
( ( ~ ( wall @ c12 )
| ~ $true )
& ( $true
| ( wall @ c12 ) ) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c12_axiom])]) ).
thf(c_0_35,plain,
! [X5: movelist,X1: direction,X2: direction] :
( ( ( playerpos @ ( movedir @ ( movedir @ X5 @ X1 ) @ X2 ) )
= ( next @ ( playerpos @ X5 ) @ X1 ) )
| ( wall @ ( next @ ( playerpos @ X5 ) @ X1 ) )
| ~ ( wall @ ( next @ ( next @ ( playerpos @ X5 ) @ X1 ) @ X2 ) ) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
thf(c_0_36,plain,
( ( playerpos @ nomove )
= c11 ),
inference(split_conjunct,[status(thm)],[start_axiom]) ).
thf(c_0_37,plain,
( ~ ( wall @ c12 )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
thf(c_0_38,plain,
( ( ~ ( wall @ c13 )
| $true )
& ( ~ $true
| ( wall @ c13 ) ) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c13_axiom])]) ).
thf(c_0_39,plain,
! [X22: position] :
( ( next @ ( next @ X22 @ left ) @ right )
= X22 ),
inference(variable_rename,[status(thm)],[left_right]) ).
thf(c_0_40,plain,
! [X19: direction,X20: direction,X21: position] :
( ( next @ ( next @ X21 @ X19 ) @ X20 )
= ( next @ ( next @ X21 @ X20 ) @ X19 ) ),
inference(variable_rename,[status(thm)],[next_comm]) ).
thf(c_0_41,plain,
! [X1: direction,X2: direction] :
( ( ( playerpos @ ( movedir @ ( movedir @ nomove @ X1 ) @ X2 ) )
= ( next @ c11 @ X1 ) )
| ( wall @ ( next @ c11 @ X1 ) )
| ~ ( wall @ ( next @ ( next @ c11 @ X1 ) @ X2 ) ) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
thf(c_0_42,plain,
( c12
= ( next @ c11 @ top ) ),
inference(split_conjunct,[status(thm)],[c12_defin]) ).
thf(c_0_43,plain,
~ ( wall @ c12 ),
inference(cn,[status(thm)],[c_0_37]) ).
thf(c_0_44,plain,
( ( wall @ c13 )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
thf(c_0_45,plain,
! [X3: position] :
( ( next @ ( next @ X3 @ left ) @ right )
= X3 ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
thf(c_0_46,plain,
! [X3: position,X2: direction,X1: direction] :
( ( next @ ( next @ X3 @ X1 ) @ X2 )
= ( next @ ( next @ X3 @ X2 ) @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
thf(c_0_47,plain,
! [X1: direction] :
( ( ( playerpos @ ( movedir @ ( movedir @ nomove @ top ) @ X1 ) )
= c12 )
| ~ ( wall @ ( next @ c12 @ X1 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]) ).
thf(c_0_48,plain,
( c13
= ( next @ c12 @ top ) ),
inference(split_conjunct,[status(thm)],[c13_defin]) ).
thf(c_0_49,plain,
wall @ c13,
inference(cn,[status(thm)],[c_0_44]) ).
thf(c_0_50,plain,
! [X23: position] :
( ( next @ ( next @ X23 @ top ) @ bottom )
= X23 ),
inference(variable_rename,[status(thm)],[top_bottom]) ).
thf(c_0_51,plain,
( c31
= ( next @ c30 @ top ) ),
inference(split_conjunct,[status(thm)],[c31_defin]) ).
thf(c_0_52,plain,
! [X3: position] :
( ( next @ ( next @ X3 @ right ) @ left )
= X3 ),
inference(rw,[status(thm)],[c_0_45,c_0_46]) ).
thf(c_0_53,plain,
( c30
= ( next @ c20 @ right ) ),
inference(split_conjunct,[status(thm)],[c30_defin]) ).
thf(c_0_54,plain,
( ( playerpos @ ( movedir @ ( movedir @ nomove @ top ) @ top ) )
= c12 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49])]) ).
thf(c_0_55,plain,
! [X3: position] :
( ( next @ ( next @ X3 @ top ) @ bottom )
= X3 ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
thf(c_0_56,plain,
( c11
= ( next @ c10 @ top ) ),
inference(split_conjunct,[status(thm)],[c11_defin]) ).
thf(c_0_57,plain,
( c10
= ( next @ c00 @ right ) ),
inference(split_conjunct,[status(thm)],[c10_defin]) ).
thf(c_0_58,plain,
! [X1: direction] :
( ( next @ ( next @ c30 @ X1 ) @ top )
= ( next @ c31 @ X1 ) ),
inference(spm,[status(thm)],[c_0_46,c_0_51]) ).
thf(c_0_59,plain,
( ( next @ c30 @ left )
= c20 ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
thf(c_0_60,plain,
( c21
= ( next @ c20 @ top ) ),
inference(split_conjunct,[status(thm)],[c21_defin]) ).
thf(c_0_61,plain,
( ( ( next @ ( playerpos @ ( movedir @ nomove @ top ) ) @ top )
= c12 )
| ( wall @ ( next @ ( playerpos @ ( movedir @ nomove @ top ) ) @ top ) ) ),
inference(spm,[status(thm)],[c_0_33,c_0_54]) ).
thf(c_0_62,plain,
( ( next @ c12 @ bottom )
= c11 ),
inference(spm,[status(thm)],[c_0_55,c_0_42]) ).
thf(c_0_63,plain,
! [X1: direction] :
( ( next @ ( next @ c10 @ X1 ) @ top )
= ( next @ c11 @ X1 ) ),
inference(spm,[status(thm)],[c_0_46,c_0_56]) ).
thf(c_0_64,plain,
( ( next @ c10 @ left )
= c00 ),
inference(spm,[status(thm)],[c_0_52,c_0_57]) ).
thf(c_0_65,plain,
( c01
= ( next @ c00 @ top ) ),
inference(split_conjunct,[status(thm)],[c01_defin]) ).
thf(c_0_66,plain,
( ( ~ ( wall @ c02 )
| $true )
& ( ~ $true
| ( wall @ c02 ) ) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c02_axiom])]) ).
thf(c_0_67,plain,
( ( next @ c31 @ left )
= c21 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60]) ).
thf(c_0_68,plain,
! [X3: position,X1: direction] :
( ( next @ ( next @ ( next @ X3 @ top ) @ X1 ) @ bottom )
= ( next @ X3 @ X1 ) ),
inference(spm,[status(thm)],[c_0_55,c_0_46]) ).
thf(c_0_69,plain,
( ( ( next @ ( playerpos @ ( movedir @ nomove @ top ) ) @ top )
= c12 )
| ( ( playerpos @ ( movedir @ nomove @ top ) )
= c12 ) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_61]),c_0_54]) ).
thf(c_0_70,plain,
! [X1: direction] :
( ( next @ ( next @ c12 @ X1 ) @ bottom )
= ( next @ c11 @ X1 ) ),
inference(spm,[status(thm)],[c_0_46,c_0_62]) ).
thf(c_0_71,plain,
! [X1: direction] :
( ( next @ ( next @ c11 @ X1 ) @ top )
= ( next @ c12 @ X1 ) ),
inference(spm,[status(thm)],[c_0_46,c_0_42]) ).
thf(c_0_72,plain,
( ( next @ c11 @ left )
= c01 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65]) ).
thf(c_0_73,plain,
( c02
= ( next @ c01 @ top ) ),
inference(split_conjunct,[status(thm)],[c02_defin]) ).
thf(c_0_74,plain,
( ( wall @ c02 )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
thf(c_0_75,plain,
( ( ~ ( wall @ c01 )
| $true )
& ( ~ $true
| ( wall @ c01 ) ) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c01_axiom])]) ).
thf(c_0_76,plain,
! [X1: direction] :
( ( next @ ( next @ c31 @ X1 ) @ left )
= ( next @ c21 @ X1 ) ),
inference(spm,[status(thm)],[c_0_46,c_0_67]) ).
thf(c_0_77,plain,
( c20
= ( next @ c10 @ right ) ),
inference(split_conjunct,[status(thm)],[c20_defin]) ).
thf(c_0_78,plain,
! [X1: direction] :
( ( ( next @ ( playerpos @ ( movedir @ nomove @ top ) ) @ X1 )
= ( next @ c11 @ X1 ) )
| ( ( playerpos @ ( movedir @ nomove @ top ) )
= c12 ) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70]) ).
thf(c_0_79,plain,
( ( next @ c12 @ left )
= c02 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_73]) ).
thf(c_0_80,plain,
wall @ c02,
inference(cn,[status(thm)],[c_0_74]) ).
thf(c_0_81,plain,
( ( wall @ c01 )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
thf(c_0_82,plain,
( ( next @ c21 @ right )
= c31 ),
inference(spm,[status(thm)],[c_0_52,c_0_76]) ).
thf(c_0_83,plain,
! [X1: direction] :
( ( next @ ( next @ c20 @ X1 ) @ top )
= ( next @ c21 @ X1 ) ),
inference(spm,[status(thm)],[c_0_46,c_0_60]) ).
thf(c_0_84,plain,
( ( next @ c20 @ left )
= c10 ),
inference(spm,[status(thm)],[c_0_52,c_0_77]) ).
thf(c_0_85,negated_conjecture,
~ ? [X5: movelist] :
( ( playerpos @ X5 )
= c31 ),
inference(assume_negation,[status(cth)],[exercise]) ).
thf(c_0_86,plain,
! [X1: direction] :
( ( ( playerpos @ ( movedir @ ( movedir @ nomove @ top ) @ X1 ) )
= ( playerpos @ ( movedir @ nomove @ top ) ) )
| ( ( playerpos @ ( movedir @ nomove @ top ) )
= c12 )
| ~ ( wall @ ( next @ c11 @ X1 ) ) ),
inference(spm,[status(thm)],[c_0_32,c_0_78]) ).
thf(c_0_87,plain,
( ( playerpos @ ( movedir @ ( movedir @ nomove @ top ) @ left ) )
= c12 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_79]),c_0_80])]) ).
thf(c_0_88,plain,
wall @ c01,
inference(cn,[status(thm)],[c_0_81]) ).
thf(c_0_89,plain,
! [X1: direction] :
( ( next @ ( next @ c21 @ X1 ) @ right )
= ( next @ c31 @ X1 ) ),
inference(spm,[status(thm)],[c_0_46,c_0_82]) ).
thf(c_0_90,plain,
( ( next @ c21 @ left )
= c11 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_56]) ).
thf(c_0_91,plain,
( ( ~ ( wall @ c22 )
| ~ $true )
& ( $true
| ( wall @ c22 ) ) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c22_axiom])]) ).
thf(c_0_92,negated_conjecture,
! [X30: movelist] :
( ( playerpos @ X30 )
!= c31 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_85])])]) ).
thf(c_0_93,plain,
( ( playerpos @ ( movedir @ nomove @ top ) )
= c12 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_72]),c_0_87]),c_0_88])]) ).
thf(c_0_94,plain,
( ( next @ c11 @ right )
= c21 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_67]) ).
thf(c_0_95,plain,
( c22
= ( next @ c21 @ top ) ),
inference(split_conjunct,[status(thm)],[c22_defin]) ).
thf(c_0_96,plain,
( ~ ( wall @ c22 )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
thf(c_0_97,plain,
( ( ~ ( wall @ c21 )
| $true )
& ( ~ $true
| ( wall @ c21 ) ) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c21_axiom])]) ).
thf(c_0_98,negated_conjecture,
! [X5: movelist] :
( ( playerpos @ X5 )
!= c31 ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
thf(c_0_99,plain,
! [X1: direction,X2: direction] :
( ( ( playerpos @ ( movedir @ ( movedir @ ( movedir @ nomove @ top ) @ X1 ) @ X2 ) )
= ( next @ c12 @ X1 ) )
| ( wall @ ( next @ c12 @ X1 ) )
| ~ ( wall @ ( next @ ( next @ c12 @ X1 ) @ X2 ) ) ),
inference(spm,[status(thm)],[c_0_35,c_0_93]) ).
thf(c_0_100,plain,
( ( next @ c12 @ right )
= c22 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_94]),c_0_95]) ).
thf(c_0_101,plain,
~ ( wall @ c22 ),
inference(cn,[status(thm)],[c_0_96]) ).
thf(c_0_102,plain,
( ( wall @ c21 )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
thf(c_0_103,negated_conjecture,
! [X5: movelist,X1: direction] :
( ( wall @ ( next @ ( playerpos @ X5 ) @ X1 ) )
| ( ( next @ ( playerpos @ X5 ) @ X1 )
!= c31 ) ),
inference(spm,[status(thm)],[c_0_98,c_0_33]) ).
thf(c_0_104,plain,
! [X1: direction] :
( ( ( playerpos @ ( movedir @ ( movedir @ ( movedir @ nomove @ top ) @ right ) @ X1 ) )
= c22 )
| ~ ( wall @ ( next @ c22 @ X1 ) ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_101]) ).
thf(c_0_105,plain,
( ( next @ c22 @ bottom )
= c21 ),
inference(spm,[status(thm)],[c_0_55,c_0_95]) ).
thf(c_0_106,plain,
wall @ c21,
inference(cn,[status(thm)],[c_0_102]) ).
thf(c_0_107,plain,
( ( ~ ( wall @ c32 )
| ~ $true )
& ( $true
| ( wall @ c32 ) ) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c32_axiom])]) ).
thf(c_0_108,negated_conjecture,
! [X5: movelist,X1: direction,X2: direction] :
( ( wall @ ( next @ ( next @ ( playerpos @ X5 ) @ X1 ) @ X2 ) )
| ( wall @ ( next @ ( playerpos @ X5 ) @ X1 ) )
| ( ( next @ ( next @ ( playerpos @ X5 ) @ X1 ) @ X2 )
!= c31 ) ),
inference(spm,[status(thm)],[c_0_103,c_0_33]) ).
thf(c_0_109,plain,
( ( playerpos @ ( movedir @ ( movedir @ ( movedir @ nomove @ top ) @ right ) @ bottom ) )
= c22 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_106])]) ).
thf(c_0_110,plain,
( c32
= ( next @ c31 @ top ) ),
inference(split_conjunct,[status(thm)],[c32_defin]) ).
thf(c_0_111,plain,
( ~ ( wall @ c32 )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_107]) ).
thf(c_0_112,plain,
( ( ~ ( wall @ c31 )
| ~ $true )
& ( $true
| ( wall @ c31 ) ) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c31_axiom])]) ).
thf(c_0_113,negated_conjecture,
! [X1: direction,X2: direction] :
( ( wall @ ( next @ ( next @ c22 @ X1 ) @ X2 ) )
| ( wall @ ( next @ c22 @ X1 ) )
| ( ( next @ ( next @ c22 @ X1 ) @ X2 )
!= c31 ) ),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
thf(c_0_114,plain,
( ( next @ c22 @ right )
= c32 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_95]),c_0_110]) ).
thf(c_0_115,plain,
~ ( wall @ c32 ),
inference(cn,[status(thm)],[c_0_111]) ).
thf(c_0_116,plain,
( ~ ( wall @ c31 )
| ~ $true ),
inference(split_conjunct,[status(thm)],[c_0_112]) ).
thf(c_0_117,negated_conjecture,
! [X1: direction] :
( ( wall @ ( next @ c32 @ X1 ) )
| ( ( next @ c32 @ X1 )
!= c31 ) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_115]) ).
thf(c_0_118,plain,
( ( next @ c32 @ bottom )
= c31 ),
inference(spm,[status(thm)],[c_0_55,c_0_110]) ).
thf(c_0_119,plain,
~ ( wall @ c31 ),
inference(cn,[status(thm)],[c_0_116]) ).
thf(c_0_120,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_119]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ142^1 : TPTP v9.3.1. Released v6.2.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n013.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Sep 29 13:26:21 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.09/0.24 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.xDbr6iyXe5/E---3.1_2097890.p
% 1.69/0.52 % Version: 3.5.1-ho
% 1.69/0.52 % partial match(2): FSMSSMSMSSSNFFN
% 1.69/0.52 % Preprocessing class: HSMSSMSMMSSNFFN.
% 1.69/0.52 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.69/0.52 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 1.69/0.52 % Starting new_bool_3 with 300s (1) cores
% 1.69/0.52 % Starting new_bool_1 with 300s (1) cores
% 1.69/0.52 % Starting sh5l with 300s (1) cores
% 1.69/0.52 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 2097903 completed with status 0
% 1.69/0.52 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 1.69/0.52 % partial match(2): FSMSSMSMSSSNFFN
% 1.69/0.52 % Preprocessing class: HSMSSMSMMSSNFFN.
% 1.69/0.52 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.69/0.52 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 1.69/0.52 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.69/0.52 % No SInE strategy applied
% 1.69/0.52 % Search class: HGUSS-FFMM21-SFFSFFNN
% 1.69/0.52 % partial match(3): FGUSF-FFMM21-SFFFFFNN
% 1.69/0.52 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.69/0.52 % Starting SubtermCWHack with 136s (1) cores
% 1.69/0.52 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 1.69/0.52 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 1.69/0.52 % Starting new_bool_3 with 136s (1) cores
% 1.69/0.52 % Starting new_bool_1 with 136s (1) cores
% 1.69/0.52 % new_bool_3 with pid 2097913 completed with status 0
% 1.69/0.52 % Result found by new_bool_3
% 1.69/0.52 % partial match(2): FSMSSMSMSSSNFFN
% 1.69/0.52 % Preprocessing class: HSMSSMSMMSSNFFN.
% 1.69/0.52 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.69/0.52 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 1.69/0.52 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.69/0.52 % No SInE strategy applied
% 1.69/0.52 % Search class: HGUSS-FFMM21-SFFSFFNN
% 1.69/0.52 % partial match(3): FGUSF-FFMM21-SFFFFFNN
% 1.69/0.52 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.69/0.52 % Starting SubtermCWHack with 136s (1) cores
% 1.69/0.52 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 1.69/0.52 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 1.69/0.52 % Starting new_bool_3 with 136s (1) cores
% 1.69/0.52 % Preprocessing time : 0.002 s
% 1.69/0.52 % Presaturation interreduction done
% 1.69/0.52
% 1.69/0.52 % Proof found!
% 1.69/0.52 % SZS status Theorem
% 1.69/0.52 % SZS output start CNFRefutation
% See solution above
% 1.69/0.52 % Parsed axioms : 84
% 1.69/0.52 % Removed by relevancy pruning/SinE : 0
% 1.69/0.52 % Initial clauses : 104
% 1.69/0.52 % Removed in clause preprocessing : 57
% 1.69/0.52 % Initial clauses in saturation : 47
% 1.69/0.52 % Processed clauses : 1135
% 1.69/0.52 % ...of these trivial : 141
% 1.69/0.52 % ...subsumed : 588
% 1.69/0.52 % ...remaining for further processing : 406
% 1.69/0.52 % Other redundant clauses eliminated : 2
% 1.69/0.52 % Clauses deleted for lack of memory : 0
% 1.69/0.52 % Backward-subsumed : 1
% 1.69/0.52 % Backward-rewritten : 10
% 1.69/0.52 % Generated clauses : 11152
% 1.69/0.52 % ...of the previous two non-redundant : 10028
% 1.69/0.52 % ...aggressively subsumed : 0
% 1.69/0.52 % Contextual simplify-reflections : 0
% 1.69/0.52 % Paramodulations : 11147
% 1.69/0.52 % Factorizations : 1
% 1.69/0.52 % NegExts : 0
% 1.69/0.52 % Equation resolutions : 2
% 1.69/0.52 % Disequality decompositions : 0
% 1.69/0.52 % Total rewrite steps : 5719
% 1.69/0.52 % ...of those cached : 5128
% 1.69/0.52 % Propositional unsat checks : 0
% 1.69/0.52 % Propositional check models : 0
% 1.69/0.52 % Propositional check unsatisfiable : 0
% 1.69/0.52 % Propositional clauses : 0
% 1.69/0.52 % Propositional clauses after purity: 0
% 1.69/0.52 % Propositional unsat core size : 0
% 1.69/0.52 % Propositional preprocessing time : 0.000
% 1.69/0.52 % Propositional encoding time : 0.000
% 1.69/0.52 % Propositional solver time : 0.000
% 1.69/0.52 % Success case prop preproc time : 0.000
% 1.69/0.52 % Success case prop encoding time : 0.000
% 1.69/0.52 % Success case prop solver time : 0.000
% 1.69/0.52 % Current number of processed clauses : 346
% 1.69/0.52 % Positive orientable unit clauses : 224
% 1.69/0.52 % Positive unorientable unit clauses: 12
% 1.69/0.52 % Negative unit clauses : 10
% 1.69/0.52 % Non-unit-clauses : 100
% 1.69/0.52 % Current number of unprocessed clauses: 8983
% 1.69/0.52 % ...number of literals in the above : 11236
% 1.69/0.52 % Current number of archived formulas : 0
% 1.69/0.52 % Current number of archived clauses : 58
% 1.69/0.52 % Clause-clause subsumption calls (NU) : 2806
% 1.69/0.52 % Rec. Clause-clause subsumption calls : 2303
% 1.69/0.52 % Non-unit clause-clause subsumptions : 313
% 1.69/0.52 % Unit Clause-clause subsumption calls : 505
% 1.69/0.52 % Rewrite failures with RHS unbound : 0
% 1.69/0.52 % BW rewrite match attempts : 1152
% 1.69/0.52 % BW rewrite match successes : 273
% 1.69/0.52 % Condensation attempts : 0
% 1.69/0.52 % Condensation successes : 0
% 1.69/0.52 % Termbank termtop insertions : 355866
% 1.69/0.52 % Search garbage collected termcells : 240
% 1.69/0.52
% 1.69/0.52 % -------------------------------------------------
% 1.69/0.52 % User time : 0.233 s
% 1.69/0.52 % System time : 0.012 s
% 1.69/0.52 % Total time : 0.246 s
% 1.69/0.52 % Maximum resident set size: 3680 pages
% 1.69/0.52
% 1.69/0.52 % -------------------------------------------------
% 1.69/0.52 % User time : 0.935 s
% 1.69/0.52 % System time : 0.058 s
% 1.69/0.52 % Total time : 0.993 s
% 1.69/0.52 % Maximum resident set size: 4864 pages
% 1.69/0.52 % E exiting
%------------------------------------------------------------------------------