%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : HWV029-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 : Tue Sep 29 10:20:17 AM UTC 2026
% Result : Unsatisfiable 2.55s 1.28s
% Output : Refutation 3.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 29
% Syntax : Number of formulae : 135 ( 12 unt; 11 def)
% Number of atoms : 391 ( 33 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 392 ( 136 ~; 245 |; 0 &)
% ( 11 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 12 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 32 ( 0 sgn 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( gt(X0,minus(X0,n1))
| ~ gt(X0,n0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f11,axiom,
! [X0,X1] :
( gt(X0,X1)
| ~ gt(plus(X0,n1),X1)
| X1 = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
fof(f12,plain,
! [X0,X1] :
( ~ gt(plus(X0,n1),X1)
| gt(X0,X1)
| X0 = X1 ),
inference(reorient_equations,[],[f11]) ).
fof(f14,axiom,
! [X0,X1] :
( gt(X0,X1)
| X1 = X0
| gt(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).
fof(f15,plain,
! [X0,X1] :
( gt(X1,X0)
| X0 = X1
| gt(X0,X1) ),
inference(reorient_equations,[],[f14]) ).
fof(f16,axiom,
! [X2,X0,X1] :
( gt(X0,X2)
| ~ gt(X0,X1)
| ~ gt(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).
fof(f18,axiom,
! [X0] :
( X0 = n0
| gt(X0,n0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_15) ).
fof(f19,plain,
! [X0] :
( gt(X0,n0)
| n0 = X0 ),
inference(reorient_equations,[],[f18]) ).
fof(f22,axiom,
! [X0] : ~ gt(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_17) ).
fof(f26,axiom,
! [X0] : level(X0) = int_level(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_21) ).
fof(f33,axiom,
! [X0] :
( ~ p_Reset(X0)
| int_level(plus(X0,n1)) = n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_26) ).
fof(f34,plain,
! [X0] :
( n0 = int_level(plus(X0,n1))
| ~ p_Reset(X0) ),
inference(reorient_equations,[],[f33]) ).
fof(f45,axiom,
! [X0] :
( int_level(plus(X0,n1)) = plus(int_level(X0),n1)
| ~ p_Wr(X0)
| p_Rd(X0)
| ~ gt(fifo_length,int_level(X0))
| p_Reset(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_35) ).
fof(f57,axiom,
! [X0] :
( p_Reset(X0)
| ~ p_Wr(X0)
| p_Rd(X0)
| gt(fifo_length,int_level(X0))
| int_level(plus(X0,n1)) = int_level(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_44) ).
fof(f58,plain,
! [X0] :
( p_Reset(X0)
| ~ p_Wr(X0)
| p_Rd(X0)
| gt(fifo_length,int_level(X0))
| int_level(X0) = int_level(plus(X0,n1)) ),
inference(reorient_equations,[],[f57]) ).
fof(f67,axiom,
! [X0] :
( p_Reset(X0)
| ~ p_Wr(X0)
| ~ p_Rd(X0)
| ~ gt(int_level(X0),n0)
| int_level(plus(X0,n1)) = int_level(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_53) ).
fof(f68,plain,
! [X0] :
( int_level(X0) = int_level(plus(X0,n1))
| ~ p_Wr(X0)
| ~ p_Rd(X0)
| ~ gt(int_level(X0),n0)
| p_Reset(X0) ),
inference(reorient_equations,[],[f67]) ).
fof(f75,axiom,
! [X0] :
( int_level(plus(X0,n1)) = plus(int_level(X0),n1)
| ~ p_Wr(X0)
| ~ p_Rd(X0)
| gt(int_level(X0),n0)
| p_Reset(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_59) ).
fof(f90,axiom,
! [X0] :
( int_level(plus(X0,n1)) = minus(int_level(X0),n1)
| p_Wr(X0)
| ~ p_Rd(X0)
| ~ gt(int_level(X0),n0)
| p_Reset(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_71) ).
fof(f98,axiom,
! [X0] :
( p_Reset(X0)
| p_Wr(X0)
| ~ p_Rd(X0)
| gt(int_level(X0),n0)
| int_level(plus(X0,n1)) = int_level(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_78) ).
fof(f99,plain,
! [X0] :
( p_Reset(X0)
| p_Wr(X0)
| ~ p_Rd(X0)
| gt(int_level(X0),n0)
| int_level(X0) = int_level(plus(X0,n1)) ),
inference(reorient_equations,[],[f98]) ).
fof(f103,axiom,
! [X0] :
( p_Reset(X0)
| p_Wr(X0)
| p_Rd(X0)
| int_level(plus(X0,n1)) = int_level(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_82) ).
fof(f104,plain,
! [X0] :
( int_level(X0) = int_level(plus(X0,n1))
| p_Wr(X0)
| p_Rd(X0)
| p_Reset(X0) ),
inference(reorient_equations,[],[f103]) ).
fof(f113,negated_conjecture,
~ gt(level(x_139),fifo_length),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_1) ).
fof(f114,negated_conjecture,
gt(level(plus(x_139,n1)),fifo_length),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_2) ).
fof(f115,negated_conjecture,
gt(fifo_length,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_3) ).
fof(f116,plain,
~ gt(int_level(x_139),fifo_length),
inference(definition_unfolding,[],[f113,f26]) ).
fof(f117,plain,
gt(int_level(plus(x_139,n1)),fifo_length),
inference(definition_unfolding,[],[f114,f26]) ).
fof(f139,plain,
( gt(n0,fifo_length)
| ~ p_Reset(x_139) ),
inference(superposition,[],[f117,f34]) ).
fof(f141,definition,
( spl0_3
<=> p_Reset(x_139) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f142,plain,
( ~ p_Reset(x_139)
| spl0_3 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f144,definition,
( spl0_4
<=> gt(n0,fifo_length) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f146,plain,
( ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f139,f144,f141]) ).
fof(f156,plain,
( fifo_length = int_level(x_139)
| gt(fifo_length,int_level(x_139)) ),
inference(resolution,[],[f15,f116]) ).
fof(f159,definition,
( spl0_5
<=> gt(fifo_length,int_level(x_139)) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f160,plain,
( gt(fifo_length,int_level(x_139))
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f162,definition,
( spl0_6
<=> fifo_length = int_level(x_139) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f163,plain,
( fifo_length = int_level(x_139)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f164,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f156,f162,f159]) ).
fof(f165,plain,
! [X0] :
( ~ gt(int_level(x_139),X0)
| ~ gt(X0,fifo_length) ),
inference(resolution,[],[f16,f116]) ).
fof(f167,plain,
( ~ gt(n0,fifo_length)
| n0 = int_level(x_139) ),
inference(resolution,[],[f165,f19]) ).
fof(f168,plain,
( ~ gt(minus(int_level(x_139),n1),fifo_length)
| ~ gt(int_level(x_139),n0) ),
inference(resolution,[],[f165,f3]) ).
fof(f172,definition,
( spl0_7
<=> gt(int_level(x_139),n0) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f173,plain,
( ~ gt(int_level(x_139),n0)
| spl0_7 ),
inference(avatar_component_clause,[],[f172]) ).
fof(f175,definition,
( spl0_8
<=> gt(minus(int_level(x_139),n1),fifo_length) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f176,plain,
( ~ gt(minus(int_level(x_139),n1),fifo_length)
| spl0_8 ),
inference(avatar_component_clause,[],[f175]) ).
fof(f177,plain,
( ~ spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f168,f175,f172]) ).
fof(f179,definition,
( spl0_9
<=> n0 = int_level(x_139) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f180,plain,
( n0 = int_level(x_139)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f179]) ).
fof(f181,plain,
( ~ gt(n0,fifo_length)
| spl0_4 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f182,plain,
( spl0_9
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f167,f144,f179]) ).
fof(f206,plain,
( n0 = int_level(x_139)
| spl0_7 ),
inference(resolution,[],[f173,f19]) ).
fof(f214,plain,
( spl0_9
| spl0_7 ),
inference(avatar_split_clause,[],[f206,f172,f179]) ).
fof(f226,plain,
( ~ gt(n0,fifo_length)
| ~ spl0_9 ),
inference(superposition,[],[f116,f180]) ).
fof(f312,plain,
( gt(int_level(x_139),fifo_length)
| p_Wr(x_139)
| p_Rd(x_139)
| p_Reset(x_139) ),
inference(superposition,[],[f117,f104]) ).
fof(f315,plain,
( p_Wr(x_139)
| p_Rd(x_139)
| p_Reset(x_139) ),
inference(forward_subsumption_resolution,[],[f312,f116]) ).
fof(f322,definition,
( spl0_23
<=> p_Rd(x_139) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f323,plain,
( p_Rd(x_139)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f322]) ).
fof(f325,definition,
( spl0_24
<=> p_Wr(x_139) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f326,plain,
( p_Wr(x_139)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f325]) ).
fof(f331,plain,
( spl0_3
| spl0_23
| spl0_24 ),
inference(avatar_split_clause,[],[f315,f325,f322,f141]) ).
fof(f403,plain,
( ~ spl0_4
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f226,f179,f144]) ).
fof(f475,plain,
! [X0] :
( int_level(X0) = int_level(plus(X0,n1))
| p_Rd(X0)
| gt(fifo_length,int_level(X0))
| p_Reset(X0) ),
inference(forward_subsumption_resolution,[],[f58,f104]) ).
fof(f491,plain,
( gt(int_level(x_139),fifo_length)
| p_Rd(x_139)
| gt(fifo_length,int_level(x_139))
| p_Reset(x_139) ),
inference(superposition,[],[f117,f475]) ).
fof(f511,plain,
( gt(int_level(x_139),fifo_length)
| ~ p_Wr(x_139)
| ~ p_Rd(x_139)
| ~ gt(int_level(x_139),n0)
| p_Reset(x_139) ),
inference(superposition,[],[f117,f68]) ).
fof(f515,plain,
( ~ p_Wr(x_139)
| ~ p_Rd(x_139)
| ~ gt(int_level(x_139),n0)
| p_Reset(x_139) ),
inference(forward_subsumption_resolution,[],[f511,f116]) ).
fof(f564,plain,
! [X0] :
( int_level(X0) = int_level(plus(X0,n1))
| p_Wr(X0)
| gt(int_level(X0),n0)
| p_Reset(X0) ),
inference(forward_subsumption_resolution,[],[f99,f104]) ).
fof(f581,plain,
( gt(int_level(x_139),fifo_length)
| p_Wr(x_139)
| gt(int_level(x_139),n0)
| p_Reset(x_139) ),
inference(superposition,[],[f117,f564]) ).
fof(f585,plain,
( p_Wr(x_139)
| gt(int_level(x_139),n0)
| p_Reset(x_139) ),
inference(forward_subsumption_resolution,[],[f581,f116]) ).
fof(f595,plain,
( p_Wr(x_139)
| gt(int_level(x_139),n0)
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f585,f142]) ).
fof(f596,plain,
( ~ p_Wr(x_139)
| ~ p_Rd(x_139)
| ~ gt(int_level(x_139),n0)
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f515,f142]) ).
fof(f598,plain,
( spl0_7
| spl0_24
| spl0_3 ),
inference(avatar_split_clause,[],[f595,f141,f325,f172]) ).
fof(f600,plain,
( ~ spl0_7
| ~ spl0_23
| ~ spl0_24
| spl0_3 ),
inference(avatar_split_clause,[],[f596,f141,f325,f322,f172]) ).
fof(f723,plain,
( gt(fifo_length,fifo_length)
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f160,f163]) ).
fof(f726,plain,
( ~ gt(fifo_length,n0)
| ~ spl0_6
| spl0_7 ),
inference(superposition,[],[f173,f163]) ).
fof(f735,plain,
( $false
| ~ spl0_6
| spl0_7 ),
inference(forward_subsumption_resolution,[],[f726,f115]) ).
fof(f736,plain,
( ~ spl0_6
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f735]) ).
fof(f737,plain,
( $false
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f723,f22]) ).
fof(f738,plain,
( ~ spl0_5
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f737]) ).
fof(f742,definition,
( spl0_51
<=> gt(plus(int_level(x_139),n1),fifo_length) ),
introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).
fof(f743,plain,
( gt(plus(int_level(x_139),n1),fifo_length)
| ~ spl0_51 ),
inference(avatar_component_clause,[],[f742]) ).
fof(f773,plain,
( gt(int_level(x_139),fifo_length)
| fifo_length = int_level(x_139)
| ~ spl0_51 ),
inference(resolution,[],[f743,f12]) ).
fof(f775,plain,
( fifo_length = int_level(x_139)
| ~ spl0_51 ),
inference(forward_subsumption_resolution,[],[f773,f116]) ).
fof(f776,plain,
( spl0_6
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f775,f742,f162]) ).
fof(f781,plain,
( p_Rd(x_139)
| gt(fifo_length,int_level(x_139))
| p_Reset(x_139) ),
inference(forward_subsumption_resolution,[],[f491,f116]) ).
fof(f791,plain,
( p_Rd(x_139)
| gt(fifo_length,int_level(x_139))
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f781,f142]) ).
fof(f792,plain,
( spl0_5
| spl0_23
| spl0_3 ),
inference(avatar_split_clause,[],[f791,f141,f322,f159]) ).
fof(f808,plain,
( gt(plus(int_level(x_139),n1),fifo_length)
| ~ p_Wr(x_139)
| p_Rd(x_139)
| ~ gt(fifo_length,int_level(x_139))
| p_Reset(x_139) ),
inference(superposition,[],[f117,f45]) ).
fof(f824,plain,
( gt(plus(int_level(x_139),n1),fifo_length)
| p_Rd(x_139)
| ~ gt(fifo_length,int_level(x_139))
| p_Reset(x_139)
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f808,f326]) ).
fof(f830,plain,
( gt(plus(int_level(x_139),n1),fifo_length)
| p_Rd(x_139)
| ~ gt(fifo_length,int_level(x_139))
| spl0_3
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f824,f142]) ).
fof(f831,plain,
( ~ spl0_5
| spl0_23
| spl0_51
| spl0_3
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f830,f325,f141,f742,f322,f159]) ).
fof(f838,plain,
( gt(plus(int_level(x_139),n1),fifo_length)
| ~ p_Wr(x_139)
| ~ p_Rd(x_139)
| gt(int_level(x_139),n0)
| p_Reset(x_139) ),
inference(superposition,[],[f117,f75]) ).
fof(f861,definition,
( spl0_56
<=> gt(plus(n0,n1),fifo_length) ),
introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).
fof(f862,plain,
( gt(plus(n0,n1),fifo_length)
| ~ spl0_56 ),
inference(avatar_component_clause,[],[f861]) ).
fof(f881,plain,
( ~ gt(int_level(plus(x_139,n1)),fifo_length)
| p_Wr(x_139)
| ~ p_Rd(x_139)
| ~ gt(int_level(x_139),n0)
| p_Reset(x_139)
| spl0_8 ),
inference(superposition,[],[f176,f90]) ).
fof(f922,plain,
( gt(n0,fifo_length)
| n0 = fifo_length
| ~ spl0_56 ),
inference(resolution,[],[f862,f12]) ).
fof(f925,plain,
( n0 = fifo_length
| spl0_4
| ~ spl0_56 ),
inference(forward_subsumption_resolution,[],[f922,f181]) ).
fof(f938,plain,
( gt(n0,n0)
| spl0_4
| ~ spl0_56 ),
inference(superposition,[],[f115,f925]) ).
fof(f970,plain,
( $false
| spl0_4
| ~ spl0_56 ),
inference(forward_subsumption_resolution,[],[f938,f22]) ).
fof(f971,plain,
( spl0_4
| ~ spl0_56 ),
inference(avatar_contradiction_clause,[],[f970]) ).
fof(f975,plain,
( gt(plus(int_level(x_139),n1),fifo_length)
| ~ p_Wr(x_139)
| gt(int_level(x_139),n0)
| p_Reset(x_139)
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f838,f323]) ).
fof(f980,plain,
( p_Wr(x_139)
| ~ p_Rd(x_139)
| ~ gt(int_level(x_139),n0)
| p_Reset(x_139)
| spl0_8 ),
inference(forward_subsumption_resolution,[],[f881,f117]) ).
fof(f985,plain,
( gt(plus(int_level(x_139),n1),fifo_length)
| ~ p_Wr(x_139)
| gt(int_level(x_139),n0)
| spl0_3
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f975,f142]) ).
fof(f986,plain,
( p_Wr(x_139)
| ~ gt(int_level(x_139),n0)
| p_Reset(x_139)
| spl0_8
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f980,f323]) ).
fof(f994,plain,
( gt(plus(n0,n1),fifo_length)
| ~ p_Wr(x_139)
| gt(int_level(x_139),n0)
| spl0_3
| ~ spl0_23 ),
inference(forward_subsumption_demodulation,[],[f985,f19]) ).
fof(f995,plain,
( p_Wr(x_139)
| ~ gt(int_level(x_139),n0)
| spl0_3
| spl0_8
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f986,f142]) ).
fof(f1008,plain,
( spl0_7
| ~ spl0_24
| spl0_56
| spl0_3
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f994,f322,f141,f861,f325,f172]) ).
fof(f1009,plain,
( ~ spl0_7
| spl0_24
| spl0_3
| spl0_8
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f995,f322,f175,f141,f325,f172]) ).
cnf(s2,plain,
( ~ spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f146]) ).
cnf(s3,plain,
( spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f164]) ).
cnf(s4,plain,
( ~ spl0_7
| ~ spl0_8 ),
inference(sat_conversion,[],[f177]) ).
cnf(s5,plain,
( ~ spl0_4
| spl0_9 ),
inference(sat_conversion,[],[f182]) ).
cnf(s8,plain,
( spl0_7
| spl0_9 ),
inference(sat_conversion,[],[f214]) ).
cnf(s21,plain,
( spl0_3
| spl0_23
| spl0_24 ),
inference(sat_conversion,[],[f331]) ).
cnf(s27,plain,
( ~ spl0_4
| ~ spl0_9 ),
inference(sat_conversion,[],[f403]) ).
cnf(s51,plain,
( spl0_3
| spl0_7
| spl0_24 ),
inference(sat_conversion,[],[f598]) ).
cnf(s52,plain,
( spl0_3
| ~ spl0_7
| ~ spl0_23
| ~ spl0_24 ),
inference(sat_conversion,[],[f600]) ).
cnf(s61,plain,
( ~ spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f736]) ).
cnf(s62,plain,
( ~ spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f738]) ).
cnf(s66,plain,
( spl0_6
| ~ spl0_51 ),
inference(sat_conversion,[],[f776]) ).
cnf(s70,plain,
( spl0_3
| spl0_5
| spl0_23 ),
inference(sat_conversion,[],[f792]) ).
cnf(s76,plain,
( spl0_3
| ~ spl0_5
| spl0_23
| ~ spl0_24
| spl0_51 ),
inference(sat_conversion,[],[f831]) ).
cnf(s90,plain,
( spl0_4
| ~ spl0_56 ),
inference(sat_conversion,[],[f971]) ).
cnf(s99,plain,
( spl0_3
| spl0_7
| ~ spl0_23
| ~ spl0_24
| spl0_56 ),
inference(sat_conversion,[],[f1008]) ).
cnf(s100,plain,
( spl0_3
| ~ spl0_7
| spl0_8
| ~ spl0_23
| spl0_24 ),
inference(sat_conversion,[],[f1009]) ).
cnf(s101,plain,
( ~ spl0_7
| ~ spl0_23
| spl0_3 ),
inference(rat,[],[s100,s4,s52]) ).
cnf(s102,plain,
( spl0_5
| spl0_3 ),
inference(rat,[],[s101,s61,s3,s70]) ).
cnf(s103,plain,
( spl0_23
| spl0_51
| spl0_3
| ~ spl0_5 ),
inference(rat,[],[s21,s76]) ).
cnf(s104,plain,
( ~ spl0_23
| spl0_3 ),
inference(rat,[],[s90,s27,s99,s51,s8,s101]) ).
cnf(s105,plain,
( spl0_51
| ~ spl0_5
| spl0_3 ),
inference(rat,[],[s104,s103]) ).
cnf(s106,plain,
spl0_3,
inference(rat,[],[s105,s66,s62,s102]) ).
cnf(s107,plain,
spl0_4,
inference(rat,[],[s2,s106]) ).
cnf(s108,plain,
~ spl0_9,
inference(rat,[],[s27,s107]) ).
cnf(s109,plain,
$false,
inference(rat,[],[s5,s108,s107]) ).
fof(f1010,plain,
$false,
inference(avatar_sat_refutation,[],[s109]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV029-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n004.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 : Sun Sep 27 10:58:37 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.55/1.28 % (3344708)Input is clausal, will run a generic CNF schedule.
% 2.55/1.28 % (3344715)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2207783495:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.55/1.28 % (3344716)lrs+10_1_sil=8000:sp=occurrence:random_seed=1056494688:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.55/1.28 % (3344713)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3776466628:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.55/1.28 % (3344719)dis-21_1_sil=8000:lcm=predicate:random_seed=2346825553:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.55/1.28 % (3344714)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2027754225:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.55/1.28 % (3344717)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1104942724:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.55/1.28 % (3344718)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3191495537:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.55/1.28 % (3344717)First to succeed.
% 2.55/1.28 % (3344717)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3344708"
% 2.55/1.28 % (3344716)Instruction limit reached!
% 2.55/1.28 % (3344716)------------------------------
% 2.55/1.28 % (3344716)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.55/1.28 % (3344716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/1.28 % (3344716)CaDiCaL version: 2.1.3
% 2.55/1.28 % (3344716)Termination reason: Instruction limit
% 2.55/1.28 % (3344716)Termination phase: Saturation
% 2.55/1.28 % (3344716)Time elapsed: 0.066 s
% 2.55/1.28 % (3344716)Peak memory usage: 88 MB
% 2.55/1.28 % (3344716)Instructions burned: 108 (million)
% 2.55/1.28 % (3344719)Instruction limit reached!
% 2.55/1.28 % (3344719)------------------------------
% 2.55/1.28 % (3344719)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.55/1.28 % (3344719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/1.28 % (3344719)CaDiCaL version: 2.1.3
% 2.55/1.28 % (3344719)Termination reason: Instruction limit
% 2.55/1.28 % (3344719)Termination phase: Saturation
% 2.55/1.28 % (3344719)Time elapsed: 0.069 s
% 2.55/1.28 % (3344719)Peak memory usage: 88 MB
% 2.55/1.28 % (3344719)Instructions burned: 118 (million)
% 2.55/1.28 % (3344718)Instruction limit reached!
% 2.55/1.28 % (3344718)------------------------------
% 2.55/1.28 % (3344718)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.55/1.28 % (3344718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/1.28 % (3344718)CaDiCaL version: 2.1.3
% 2.55/1.28 % (3344718)Termination reason: Instruction limit
% 2.55/1.28 % (3344718)Termination phase: Saturation
% 2.55/1.28 % (3344718)Time elapsed: 0.128 s
% 2.55/1.28 % (3344718)Peak memory usage: 90 MB
% 2.55/1.28 % (3344718)Instructions burned: 181 (million)
% 2.55/1.28 % (3344727)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=4131498208:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 2.55/1.28 % (3344728)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=97546702:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 2.55/1.28 % (3344728)Also succeeded, but the first one will report.
% 2.55/1.28 % (3344729)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3964907934:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 2.55/1.28 % (3344729)Also succeeded, but the first one will report.
% 2.55/1.28 % (3344727)Instruction limit reached!
% 2.55/1.28 % (3344727)------------------------------
% 2.55/1.28 % (3344727)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.55/1.28 % (3344727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/1.28 % (3344727)CaDiCaL version: 2.1.3
% 2.55/1.28 % (3344727)Termination reason: Instruction limit
% 2.55/1.28 % (3344727)Termination phase: Saturation
% 2.55/1.28 % (3344727)Time elapsed: 0.070 s
% 2.55/1.28 % (3344727)Peak memory usage: 88 MB
% 2.55/1.28 % (3344727)Instructions burned: 144 (million)
% 2.55/1.28 % (3344717)Refutation found. Thanks to Tanya!
% 2.55/1.28 % SZS status Unsatisfiable for theBenchmark
% 2.55/1.28 % SZS output start Proof for theBenchmark
% See solution above
% 3.58/1.44 % (3344717)------------------------------
% 3.58/1.44 % (3344717)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.44 % (3344717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.44 % (3344717)CaDiCaL version: 2.1.3
% 3.58/1.44 % (3344717)Termination reason: Refutation
% 3.58/1.44 % (3344717)Time elapsed: 0.024 s
% 3.58/1.44 % (3344717)Peak memory usage: 89 MB
% 3.58/1.44 % (3344717)Instructions burned: 29 (million)
% 3.58/1.44 % (3344717)------------------------------
% 3.58/1.44 % (3344717)------------------------------
% 3.58/1.44 % (3344708)Success in time 0.431 s
% 3.58/1.44 % Vampire exiting
%------------------------------------------------------------------------------