%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PUZ142^1 : TPTP v9.3.1. Released v6.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n003.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 08:21:16 AM UTC 2026
% Result : Theorem 1.72s 0.56s
% Output : Refutation 1.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 20
% Syntax : Number of formulae : 95 ( 63 unt; 0 typ; 1 def)
% Number of atoms : 302 ( 159 equ; 0 cnn)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 611 ( 36 ~; 55 |; 0 &; 506 @)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 40 ( 37 usr; 32 con; 0-2 aty)
% Number of variables : 100 ( 0 ^; 98 !; 2 ?; 100 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
position: $tType ).
thf(type_def_6,type,
direction: $tType ).
thf(type_def_7,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(type_def_8,type,
movelist: $tType ).
thf(func_def_0,type,
left: direction ).
thf(func_def_1,type,
right: direction ).
thf(func_def_2,type,
top: direction ).
thf(func_def_3,type,
bottom: direction ).
thf(func_def_4,type,
next: position > direction > position ).
thf(func_def_6,type,
wall: position > $o ).
thf(func_def_7,type,
nomove: movelist ).
thf(func_def_8,type,
movedir: movelist > direction > movelist ).
thf(func_def_9,type,
playerpos: movelist > position ).
thf(func_def_10,type,
c00: position ).
thf(func_def_11,type,
c10: position ).
thf(func_def_12,type,
c20: position ).
thf(func_def_13,type,
c30: position ).
thf(func_def_14,type,
c40: position ).
thf(func_def_15,type,
c01: position ).
thf(func_def_16,type,
c11: position ).
thf(func_def_17,type,
c21: position ).
thf(func_def_18,type,
c31: position ).
thf(func_def_19,type,
c41: position ).
thf(func_def_20,type,
c02: position ).
thf(func_def_21,type,
c12: position ).
thf(func_def_22,type,
c22: position ).
thf(func_def_23,type,
c32: position ).
thf(func_def_24,type,
c42: position ).
thf(func_def_25,type,
c03: position ).
thf(func_def_26,type,
c13: position ).
thf(func_def_27,type,
c23: position ).
thf(func_def_28,type,
c33: position ).
thf(func_def_29,type,
c43: position ).
thf(func_def_30,type,
c04: position ).
thf(func_def_31,type,
c14: position ).
thf(func_def_32,type,
c24: position ).
thf(func_def_33,type,
c34: position ).
thf(func_def_34,type,
c44: position ).
thf(func_def_37,type,
sF0: movelist > position ).
thf(func_def_38,type,
vNOT: $o > $o ).
thf(f1,axiom,
! [X0: direction,X1: direction,X2: position] :
( ( next @ ( next @ X2 @ X0 ) @ X1 )
= ( next @ ( next @ X2 @ X1 ) @ X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',next_comm) ).
thf(f3,axiom,
! [X0: position] :
( ( next @ ( next @ X0 @ top ) @ bottom )
= X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',top_bottom) ).
thf(f4,axiom,
! [X0: position,X1: movelist,X2: direction] :
( ( ( playerpos @ X1 )
= X0 )
=> ( ~ ( wall @ ( next @ X0 @ X2 ) )
=> ( ( playerpos @ ( movedir @ X1 @ X2 ) )
= ( next @ X0 @ X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',player_move_legal) ).
thf(f5,axiom,
! [X0: position,X1: movelist,X2: direction] :
( ( ( playerpos @ X1 )
= X0 )
=> ( ( wall @ ( next @ X0 @ X2 ) )
=> ( ( playerpos @ ( movedir @ X1 @ X2 ) )
= X0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',player_move_illegal) ).
thf(f7,axiom,
( c20
= ( next @ c10 @ right ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c20_defin) ).
thf(f8,axiom,
( c30
= ( next @ c20 @ right ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c30_defin) ).
thf(f14,axiom,
( c11
= ( next @ c10 @ top ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c11_defin) ).
thf(f15,axiom,
( c12
= ( next @ c11 @ top ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c12_defin) ).
thf(f18,axiom,
( c21
= ( next @ c20 @ top ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c21_defin) ).
thf(f19,axiom,
( c22
= ( next @ c21 @ top ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c22_defin) ).
thf(f22,axiom,
( c31
= ( next @ c30 @ top ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c31_defin) ).
thf(f23,axiom,
( c32
= ( next @ c31 @ top ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c32_defin) ).
thf(f27,axiom,
( ( wall @ c10 )
= $true ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c10_axiom) ).
thf(f34,axiom,
( ( wall @ c31 )
= $false ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c31_axiom) ).
thf(f37,axiom,
( ( wall @ c12 )
= $false ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c12_axiom) ).
thf(f38,axiom,
( ( wall @ c22 )
= $false ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c22_axiom) ).
thf(f39,axiom,
( ( wall @ c32 )
= $false ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c32_axiom) ).
thf(f46,axiom,
( ( playerpos @ nomove )
= c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',start_axiom) ).
thf(f47,conjecture,
? [X0: movelist] :
( ( playerpos @ X0 )
= c31 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exercise) ).
thf(f48,negated_conjecture,
~ ? [X0: movelist] :
( ( playerpos @ X0 )
= c31 ),
inference(negated_conjecture,[status(cth)],[f47]) ).
thf(f49,plain,
! [X0: position,X1: movelist,X2: direction] :
( ( ( playerpos @ X1 )
= X0 )
=> ( ~ ( wall @ ( next @ X0 @ X2 ) )
=> ( ( playerpos @ ( movedir @ X1 @ X2 ) )
= ( next @ X0 @ X2 ) ) ) ),
inference(rectify,[],[f4]) ).
thf(f50,plain,
! [X0: position,X1: movelist,X2: direction] :
( ( ( playerpos @ X1 )
= X0 )
=> ( ( ( wall @ ( next @ X0 @ X2 ) )
!= $true )
=> ( ( next @ X0 @ X2 )
= ( playerpos @ ( movedir @ X1 @ X2 ) ) ) ) ),
inference(fool_elimination,[],[f49]) ).
thf(f51,plain,
! [X0: position,X1: movelist,X2: direction] :
( ( ( playerpos @ X1 )
= X0 )
=> ( ( wall @ ( next @ X0 @ X2 ) )
=> ( ( playerpos @ ( movedir @ X1 @ X2 ) )
= X0 ) ) ),
inference(rectify,[],[f5]) ).
thf(f52,plain,
! [X0: position,X1: movelist,X2: direction] :
( ( ( playerpos @ X1 )
= X0 )
=> ( ( ( wall @ ( next @ X0 @ X2 ) )
= $true )
=> ( ( playerpos @ ( movedir @ X1 @ X2 ) )
= X0 ) ) ),
inference(fool_elimination,[],[f51]) ).
thf(f54,plain,
( ( wall @ c10 )
= $true ),
inference(fool_elimination,[],[f27]) ).
thf(f61,plain,
( ( wall @ c31 )
= $false ),
inference(fool_elimination,[],[f34]) ).
thf(f64,plain,
( ( wall @ c12 )
= $false ),
inference(fool_elimination,[],[f37]) ).
thf(f65,plain,
( ( wall @ c22 )
= $false ),
inference(fool_elimination,[],[f38]) ).
thf(f66,plain,
( ( wall @ c32 )
= $false ),
inference(fool_elimination,[],[f39]) ).
thf(f73,plain,
! [X0: position,X1: movelist,X2: direction] :
( ( ( playerpos @ X1 )
= X0 )
=> ( ( ( wall @ ( next @ X0 @ X2 ) )
!= $true )
=> ( ( next @ X0 @ X2 )
= ( playerpos @ ( movedir @ X1 @ X2 ) ) ) ) ),
inference(flattening,[],[f50]) ).
thf(f74,plain,
! [X0: position,X1: movelist,X2: direction] :
( ( ( next @ X0 @ X2 )
= ( playerpos @ ( movedir @ X1 @ X2 ) ) )
| ( ( wall @ ( next @ X0 @ X2 ) )
= $true )
| ( ( playerpos @ X1 )
!= X0 ) ),
inference(ennf_transformation,[],[f73]) ).
thf(f75,plain,
! [X0: position,X1: movelist,X2: direction] :
( ( ( next @ X0 @ X2 )
= ( playerpos @ ( movedir @ X1 @ X2 ) ) )
| ( ( wall @ ( next @ X0 @ X2 ) )
= $true )
| ( ( playerpos @ X1 )
!= X0 ) ),
inference(flattening,[],[f74]) ).
thf(f76,plain,
! [X0: position,X1: movelist,X2: direction] :
( ( ( playerpos @ ( movedir @ X1 @ X2 ) )
= X0 )
| ( ( wall @ ( next @ X0 @ X2 ) )
!= $true )
| ( ( playerpos @ X1 )
!= X0 ) ),
inference(ennf_transformation,[],[f52]) ).
thf(f77,plain,
! [X0: position,X1: movelist,X2: direction] :
( ( ( playerpos @ ( movedir @ X1 @ X2 ) )
= X0 )
| ( ( wall @ ( next @ X0 @ X2 ) )
!= $true )
| ( ( playerpos @ X1 )
!= X0 ) ),
inference(flattening,[],[f76]) ).
thf(f78,plain,
! [X0: movelist] :
( c31
!= ( playerpos @ X0 ) ),
inference(ennf_transformation,[],[f48]) ).
thf(f79,plain,
! [X2: position,X0: direction,X1: direction] :
( ( next @ ( next @ X2 @ X0 ) @ X1 )
= ( next @ ( next @ X2 @ X1 ) @ X0 ) ),
inference(cnf_transformation,[],[f1]) ).
thf(f81,plain,
! [X0: position] :
( ( next @ ( next @ X0 @ top ) @ bottom )
= X0 ),
inference(cnf_transformation,[],[f3]) ).
thf(f82,plain,
! [X2: direction,X0: position,X1: movelist] :
( ( ( next @ X0 @ X2 )
= ( playerpos @ ( movedir @ X1 @ X2 ) ) )
| ( ( wall @ ( next @ X0 @ X2 ) )
= $true )
| ( ( playerpos @ X1 )
!= X0 ) ),
inference(cnf_transformation,[],[f75]) ).
thf(f83,plain,
! [X2: direction,X0: position,X1: movelist] :
( ( ( playerpos @ ( movedir @ X1 @ X2 ) )
= X0 )
| ( ( wall @ ( next @ X0 @ X2 ) )
!= $true )
| ( ( playerpos @ X1 )
!= X0 ) ),
inference(cnf_transformation,[],[f77]) ).
thf(f85,plain,
( c20
= ( next @ c10 @ right ) ),
inference(cnf_transformation,[],[f7]) ).
thf(f86,plain,
( c30
= ( next @ c20 @ right ) ),
inference(cnf_transformation,[],[f8]) ).
thf(f92,plain,
( c11
= ( next @ c10 @ top ) ),
inference(cnf_transformation,[],[f14]) ).
thf(f93,plain,
( c12
= ( next @ c11 @ top ) ),
inference(cnf_transformation,[],[f15]) ).
thf(f96,plain,
( c21
= ( next @ c20 @ top ) ),
inference(cnf_transformation,[],[f18]) ).
thf(f97,plain,
( c22
= ( next @ c21 @ top ) ),
inference(cnf_transformation,[],[f19]) ).
thf(f100,plain,
( c31
= ( next @ c30 @ top ) ),
inference(cnf_transformation,[],[f22]) ).
thf(f101,plain,
( c32
= ( next @ c31 @ top ) ),
inference(cnf_transformation,[],[f23]) ).
thf(f105,plain,
( ( wall @ c10 )
= $true ),
inference(cnf_transformation,[],[f54]) ).
thf(f112,plain,
( ( wall @ c31 )
= $false ),
inference(cnf_transformation,[],[f61]) ).
thf(f115,plain,
( ( wall @ c12 )
= $false ),
inference(cnf_transformation,[],[f64]) ).
thf(f116,plain,
( ( wall @ c22 )
= $false ),
inference(cnf_transformation,[],[f65]) ).
thf(f117,plain,
( ( wall @ c32 )
= $false ),
inference(cnf_transformation,[],[f66]) ).
thf(f124,plain,
( c11
= ( playerpos @ nomove ) ),
inference(cnf_transformation,[],[f46]) ).
thf(f125,plain,
! [X0: movelist] :
( c31
!= ( playerpos @ X0 ) ),
inference(cnf_transformation,[],[f78]) ).
thf(f128,plain,
! [X2: direction,X1: movelist] :
( ( ( playerpos @ ( movedir @ X1 @ X2 ) )
= ( next @ ( playerpos @ X1 ) @ X2 ) )
| ( $true
= ( wall @ ( next @ ( playerpos @ X1 ) @ X2 ) ) ) ),
inference(equality_resolution,[],[f82]) ).
thf(f129,plain,
! [X2: direction,X1: movelist] :
( ( $true
!= ( wall @ ( next @ ( playerpos @ X1 ) @ X2 ) ) )
| ( ( playerpos @ X1 )
= ( playerpos @ ( movedir @ X1 @ X2 ) ) ) ),
inference(equality_resolution,[],[f83]) ).
thf(f130,definition,
! [X0: movelist] :
( ( sF0 @ X0 )
= ( playerpos @ X0 ) ),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
thf(f131,plain,
! [X0: movelist] :
( ( playerpos @ X0 )
= ( sF0 @ X0 ) ),
inference(reorient_equations,[],[f130]) ).
thf(f132,plain,
! [X0: movelist] :
( c31
!= ( sF0 @ X0 ) ),
inference(definition_folding,[],[f125,f131]) ).
thf(f150,plain,
! [X0: movelist] :
( c31
!= ( playerpos @ X0 ) ),
inference(constrained_superposition,[],[f132,f131]) ).
thf(f153,plain,
( c10
= ( next @ c11 @ bottom ) ),
inference(constrained_superposition,[],[f81,f92]) ).
thf(f159,plain,
( c31
= ( next @ c32 @ bottom ) ),
inference(constrained_superposition,[],[f81,f101]) ).
thf(f168,plain,
! [X0: direction] :
( ( $true
!= ( wall @ ( next @ c11 @ X0 ) ) )
| ( c11
= ( playerpos @ ( movedir @ nomove @ X0 ) ) ) ),
inference(constrained_superposition,[],[f129,f124]) ).
thf(f200,plain,
! [X0: direction] :
( ( next @ ( next @ c10 @ X0 ) @ right )
= ( next @ c20 @ X0 ) ),
inference(constrained_superposition,[],[f79,f85]) ).
thf(f201,plain,
! [X0: direction] :
( ( next @ ( next @ c20 @ X0 ) @ right )
= ( next @ c30 @ X0 ) ),
inference(constrained_superposition,[],[f79,f86]) ).
thf(f208,plain,
! [X0: direction] :
( ( next @ ( next @ c11 @ X0 ) @ top )
= ( next @ c12 @ X0 ) ),
inference(constrained_superposition,[],[f79,f93]) ).
thf(f209,plain,
! [X0: direction] :
( ( next @ ( next @ c21 @ X0 ) @ top )
= ( next @ c22 @ X0 ) ),
inference(constrained_superposition,[],[f79,f97]) ).
thf(f228,plain,
! [X0: movelist,X1: direction] :
( ( c31
!= ( next @ ( playerpos @ X0 ) @ X1 ) )
| ( $true
= ( wall @ ( next @ ( playerpos @ X0 ) @ X1 ) ) ) ),
inference(constrained_superposition,[],[f150,f128]) ).
thf(f230,plain,
! [X2: direction,X0: movelist,X1: direction] :
( ( c31
!= ( next @ ( next @ ( playerpos @ X0 ) @ X1 ) @ X2 ) )
| ( $true
= ( wall @ ( next @ ( next @ ( playerpos @ X0 ) @ X1 ) @ X2 ) ) )
| ( $true
= ( wall @ ( next @ ( playerpos @ X0 ) @ X1 ) ) ) ),
inference(constrained_superposition,[],[f228,f128]) ).
thf(f242,plain,
! [X2: direction,X3: direction,X0: movelist,X1: direction] :
( ( c31
!= ( next @ ( next @ ( next @ ( playerpos @ X0 ) @ X1 ) @ X2 ) @ X3 ) )
| ( $true
= ( wall @ ( next @ ( next @ ( next @ ( playerpos @ X0 ) @ X1 ) @ X2 ) @ X3 ) ) )
| ( $true
= ( wall @ ( next @ ( next @ ( playerpos @ X0 ) @ X1 ) @ X2 ) ) )
| ( $true
= ( wall @ ( next @ ( playerpos @ X0 ) @ X1 ) ) ) ),
inference(constrained_superposition,[],[f230,f128]) ).
thf(f308,plain,
( ( next @ c20 @ top )
= ( next @ c11 @ right ) ),
inference(constrained_superposition,[],[f200,f92]) ).
thf(f317,plain,
( c21
= ( next @ c11 @ right ) ),
inference(forward_demodulation,[],[f308,f96]) ).
thf(f321,plain,
( ( next @ c30 @ top )
= ( next @ c21 @ right ) ),
inference(constrained_superposition,[],[f201,f96]) ).
thf(f330,plain,
( c31
= ( next @ c21 @ right ) ),
inference(forward_demodulation,[],[f321,f100]) ).
thf(f424,plain,
( ( next @ c21 @ top )
= ( next @ c12 @ right ) ),
inference(constrained_superposition,[],[f208,f317]) ).
thf(f436,plain,
( c22
= ( next @ c12 @ right ) ),
inference(forward_demodulation,[],[f424,f97]) ).
thf(f445,plain,
( ( next @ c31 @ top )
= ( next @ c22 @ right ) ),
inference(constrained_superposition,[],[f209,f330]) ).
thf(f455,plain,
( c32
= ( next @ c22 @ right ) ),
inference(forward_demodulation,[],[f445,f101]) ).
thf(f538,plain,
! [X2: direction,X3: direction,X0: movelist,X1: direction,X4: direction] :
( ( c31
!= ( next @ ( next @ ( next @ ( next @ ( playerpos @ X0 ) @ X1 ) @ X2 ) @ X3 ) @ X4 ) )
| ( $true
= ( wall @ ( next @ ( next @ ( next @ ( next @ ( playerpos @ X0 ) @ X1 ) @ X2 ) @ X3 ) @ X4 ) ) )
| ( $true
= ( wall @ ( next @ ( next @ ( next @ ( playerpos @ X0 ) @ X1 ) @ X2 ) @ X3 ) ) )
| ( $true
= ( wall @ ( next @ ( next @ ( playerpos @ X0 ) @ X1 ) @ X2 ) ) )
| ( $true
= ( wall @ ( next @ ( playerpos @ X0 ) @ X1 ) ) ) ),
inference(constrained_superposition,[],[f242,f128]) ).
thf(f611,plain,
( ( ( wall @ c10 )
!= $true )
| ( c11
= ( playerpos @ ( movedir @ nomove @ bottom ) ) ) ),
inference(constrained_superposition,[],[f168,f153]) ).
thf(f614,plain,
( c11
= ( playerpos @ ( movedir @ nomove @ bottom ) ) ),
inference(forward_subsumption_resolution,[],[f611,f105]) ).
thf(f4510,plain,
! [X2: direction,X3: direction,X0: direction,X1: direction] :
( ( c31
!= ( next @ ( next @ ( next @ ( next @ c11 @ X0 ) @ X1 ) @ X2 ) @ X3 ) )
| ( $true
= ( wall @ ( next @ ( next @ ( next @ ( next @ c11 @ X0 ) @ X1 ) @ X2 ) @ X3 ) ) )
| ( $true
= ( wall @ ( next @ ( next @ ( next @ c11 @ X0 ) @ X1 ) @ X2 ) ) )
| ( $true
= ( wall @ ( next @ ( next @ c11 @ X0 ) @ X1 ) ) )
| ( $true
= ( wall @ ( next @ c11 @ X0 ) ) ) ),
inference(constrained_superposition,[],[f538,f614]) ).
thf(f4582,plain,
! [X2: direction,X0: direction,X1: direction] :
( ( c31
!= ( next @ ( next @ ( next @ c12 @ X0 ) @ X1 ) @ X2 ) )
| ( $true
= ( wall @ ( next @ ( next @ ( next @ c12 @ X0 ) @ X1 ) @ X2 ) ) )
| ( $true
= ( wall @ ( next @ ( next @ c12 @ X0 ) @ X1 ) ) )
| ( $true
= ( wall @ ( next @ c12 @ X0 ) ) )
| ( ( wall @ c12 )
= $true ) ),
inference(constrained_superposition,[],[f4510,f93]) ).
thf(f4613,plain,
! [X2: direction,X0: direction,X1: direction] :
( ( $true = $false )
| ( c31
!= ( next @ ( next @ ( next @ c12 @ X0 ) @ X1 ) @ X2 ) )
| ( $true
= ( wall @ ( next @ ( next @ ( next @ c12 @ X0 ) @ X1 ) @ X2 ) ) )
| ( $true
= ( wall @ ( next @ ( next @ c12 @ X0 ) @ X1 ) ) )
| ( $true
= ( wall @ ( next @ c12 @ X0 ) ) ) ),
inference(forward_demodulation,[],[f4582,f115]) ).
thf(f4614,plain,
! [X2: direction,X0: direction,X1: direction] :
( ( c31
!= ( next @ ( next @ ( next @ c12 @ X0 ) @ X1 ) @ X2 ) )
| ( $true
= ( wall @ ( next @ ( next @ ( next @ c12 @ X0 ) @ X1 ) @ X2 ) ) )
| ( $true
= ( wall @ ( next @ ( next @ c12 @ X0 ) @ X1 ) ) )
| ( $true
= ( wall @ ( next @ c12 @ X0 ) ) ) ),
inference(trivial_inequality_removal,[],[f4613]) ).
thf(f4661,plain,
! [X0: direction,X1: direction] :
( ( c31
!= ( next @ ( next @ c22 @ X0 ) @ X1 ) )
| ( $true
= ( wall @ ( next @ ( next @ c22 @ X0 ) @ X1 ) ) )
| ( $true
= ( wall @ ( next @ c22 @ X0 ) ) )
| ( ( wall @ c22 )
= $true ) ),
inference(constrained_superposition,[],[f4614,f436]) ).
thf(f4683,plain,
! [X0: direction,X1: direction] :
( ( $true = $false )
| ( c31
!= ( next @ ( next @ c22 @ X0 ) @ X1 ) )
| ( $true
= ( wall @ ( next @ ( next @ c22 @ X0 ) @ X1 ) ) )
| ( $true
= ( wall @ ( next @ c22 @ X0 ) ) ) ),
inference(forward_demodulation,[],[f4661,f116]) ).
thf(f4684,plain,
! [X0: direction,X1: direction] :
( ( c31
!= ( next @ ( next @ c22 @ X0 ) @ X1 ) )
| ( $true
= ( wall @ ( next @ ( next @ c22 @ X0 ) @ X1 ) ) )
| ( $true
= ( wall @ ( next @ c22 @ X0 ) ) ) ),
inference(trivial_inequality_removal,[],[f4683]) ).
thf(f4729,plain,
! [X0: direction] :
( ( c31
!= ( next @ c32 @ X0 ) )
| ( $true
= ( wall @ ( next @ c32 @ X0 ) ) )
| ( ( wall @ c32 )
= $true ) ),
inference(constrained_superposition,[],[f4684,f455]) ).
thf(f4738,plain,
! [X0: direction] :
( ( $true = $false )
| ( c31
!= ( next @ c32 @ X0 ) )
| ( $true
= ( wall @ ( next @ c32 @ X0 ) ) ) ),
inference(forward_demodulation,[],[f4729,f117]) ).
thf(f4739,plain,
! [X0: direction] :
( ( c31
!= ( next @ c32 @ X0 ) )
| ( $true
= ( wall @ ( next @ c32 @ X0 ) ) ) ),
inference(trivial_inequality_removal,[],[f4738]) ).
thf(f4785,plain,
( ( c31 != c31 )
| ( ( wall @ c31 )
= $true ) ),
inference(constrained_superposition,[],[f4739,f159]) ).
thf(f4786,plain,
( ( wall @ c31 )
= $true ),
inference(trivial_inequality_removal,[],[f4785]) ).
thf(f4787,plain,
$true = $false,
inference(forward_demodulation,[],[f4786,f112]) ).
thf(f4788,plain,
$false,
inference(trivial_inequality_removal,[],[f4787]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ142^1 : TPTP v9.3.1. Released v6.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.18 % Computer : n003.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Sep 29 13:28:44 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.21 Running first-order model finding
% 0.07/0.21 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.72/0.56 % (2493256)Will run a generic schedule for satisfiability detection.
% 1.72/0.56 % (2493264)dis+10_1_sil=32000:sp=arity:random_seed=1297188893:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.72/0.56 % (2493262)% WARNING: option uhcvi not known.
% 1.72/0.56 % (2493261)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=92597145_2999 on theBenchmark for (2999ds/0Mi)
% 1.72/0.56 % (2493262)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3616269568:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.72/0.56 % (2493263)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2737516291:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.72/0.56 % (2493265)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3670209679:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.72/0.56 % (2493267)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4120332267:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.72/0.56 % (2493266)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3816030804:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.72/0.56 % (2493262)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.72/0.56 % Exception at run slice level
% 1.72/0.56 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.72/0.56 % (2493265)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.72/0.56 % (2493262)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 1.72/0.56 % (2493264)Instruction limit reached!
% 1.72/0.56 % (2493264)------------------------------
% 1.72/0.56 % (2493264)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.72/0.56 % (2493264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.72/0.56 % (2493264)CaDiCaL version: 2.1.3
% 1.72/0.56 % (2493264)Termination reason: Instruction limit
% 1.72/0.56 % (2493264)Termination phase: Saturation
% 1.72/0.56 % (2493264)Time elapsed: 0.026 s
% 1.72/0.56 % (2493264)Peak memory usage: 11 MB
% 1.72/0.56 % (2493264)Instructions burned: 107 (million)
% 1.72/0.56 % (2493275)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3370211962:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.72/0.56 % Exception at run slice level
% 1.72/0.56 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.72/0.56 % (2493276)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=506015464:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.72/0.56 % (2493278)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2592689315:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 1.72/0.56 % (2493278)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.72/0.56 % (2493278)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 1.72/0.56 % (2493265)Instruction limit reached!
% 1.72/0.56 % (2493265)------------------------------
% 1.72/0.56 % (2493265)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.72/0.56 % (2493265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.72/0.56 % (2493265)CaDiCaL version: 2.1.3
% 1.72/0.56 % (2493265)Termination reason: Instruction limit
% 1.72/0.56 % (2493265)Termination phase: Saturation
% 1.72/0.56 % (2493265)Time elapsed: 0.053 s
% 1.72/0.56 % (2493265)Peak memory usage: 12 MB
% 1.72/0.56 % (2493265)Instructions burned: 117 (million)
% 1.72/0.56 % (2493266)Instruction limit reached!
% 1.72/0.56 % (2493266)------------------------------
% 1.72/0.56 % (2493266)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.72/0.56 % (2493266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.72/0.56 % (2493266)CaDiCaL version: 2.1.3
% 1.72/0.56 % (2493266)Termination reason: Instruction limit
% 1.72/0.56 % (2493266)Termination phase: Saturation
% 1.72/0.56 % (2493266)Time elapsed: 0.060 s
% 1.72/0.56 % (2493266)Peak memory usage: 12 MB
% 1.72/0.56 % (2493266)Instructions burned: 132 (million)
% 1.72/0.56 % (2493276)Instruction limit reached!
% 1.72/0.56 % (2493276)------------------------------
% 1.72/0.56 % (2493276)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.72/0.56 % (2493276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.72/0.56 % (2493276)CaDiCaL version: 2.1.3
% 1.72/0.56 % (2493276)Termination reason: Instruction limit
% 1.72/0.56 % (2493276)Termination phase: Saturation
% 1.72/0.56 % (2493276)Time elapsed: 0.033 s
% 1.72/0.56 % (2493276)Peak memory usage: 12 MB
% 1.72/0.56 % (2493276)Instructions burned: 132 (million)
% 1.72/0.56 % (2493281)ott-21_1_sil=16000:fs=off:random_seed=167843761:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 1.72/0.56 % (2493283)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3630718693:fmbsr=1.3:i=865:ins=25_2999 on theBenchmark for (2999ds/865Mi)
% 1.72/0.56 % Exception at run slice level
% 1.72/0.56 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.72/0.56 % (2493267)Instruction limit reached!
% 1.72/0.56 % (2493267)------------------------------
% 1.72/0.56 % (2493267)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.72/0.56 % (2493267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.72/0.56 % (2493267)CaDiCaL version: 2.1.3
% 1.72/0.56 % (2493267)Termination reason: Instruction limit
% 1.72/0.56 % (2493267)Termination phase: Saturation
% 1.72/0.56 % (2493267)Time elapsed: 0.077 s
% 1.72/0.56 % (2493267)Peak memory usage: 12 MB
% 1.72/0.56 % (2493267)Instructions burned: 162 (million)
% 1.72/0.56 % (2493282)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2606989174:i=477:bd=all_2999 on theBenchmark for (2999ds/477Mi)
% 1.72/0.56 % (2493286)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1297395018:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 1.72/0.56 % (2493287)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1485589513:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 1.72/0.56 % Exception at run slice level
% 1.72/0.56 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 1.72/0.56 % (2493291)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2854964665:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2998 on theBenchmark for (2998ds/692Mi)
% 1.72/0.56 % (2493291)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.72/0.56 % (2493281)Instruction limit reached!
% 1.72/0.56 % (2493281)------------------------------
% 1.72/0.56 % (2493281)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.72/0.56 % (2493281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.72/0.56 % (2493281)CaDiCaL version: 2.1.3
% 1.72/0.56 % (2493281)Termination reason: Instruction limit
% 1.72/0.56 % (2493281)Termination phase: Saturation
% 1.72/0.56 % (2493281)Time elapsed: 0.079 s
% 1.72/0.56 % (2493281)Peak memory usage: 12 MB
% 1.72/0.56 % (2493281)Instructions burned: 180 (million)
% 1.72/0.56 % (2493293)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2143107002:i=879:kws=inv_precedence:fsr=off_2998 on theBenchmark for (2998ds/879Mi)
% 1.72/0.56 % (2493293)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 1.72/0.56 % (2493282)Instruction limit reached!
% 1.72/0.56 % (2493282)------------------------------
% 1.72/0.56 % (2493282)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.72/0.56 % (2493282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.72/0.56 % (2493282)CaDiCaL version: 2.1.3
% 1.72/0.56 % (2493282)Termination reason: Instruction limit
% 1.72/0.56 % (2493282)Termination phase: Saturation
% 1.72/0.56 % (2493282)Time elapsed: 0.218 s
% 1.72/0.56 % (2493282)Peak memory usage: 13 MB
% 1.72/0.56 % (2493282)Instructions burned: 477 (million)
% 1.72/0.56 % (2493286) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2493256-2493286"...
% 1.72/0.56 % (2493286)...printing done.
% 1.72/0.56 % (2493286)Refutation found. Thanks to Tanya!
% 1.72/0.56 % SZS status Theorem for theBenchmark
% 1.72/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 1.72/0.56 % (2493286)------------------------------
% 1.72/0.56 % (2493286)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.72/0.56 % (2493286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.72/0.56 % (2493286)CaDiCaL version: 2.1.3
% 1.72/0.56 % (2493286)Termination reason: Refutation
% 1.72/0.56 % (2493286)Time elapsed: 0.218 s
% 1.72/0.56 % (2493286)Peak memory usage: 14 MB
% 1.72/0.56 % (2493286)Instructions burned: 944 (million)
% 1.72/0.56 % (2493256)Success in time 0.339 s
% 1.72/0.56 % Vampire exiting
%------------------------------------------------------------------------------