↑ Up

Vampire-SAT---5.0.1.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : CSR152_8 : TPTP v9.3.1. Released v8.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n009.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 09:46:08 AM UTC 2026

% Result   : Theorem 0.10s 0.27s
% Output   : Refutation 0.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   41 (  17 unt;   0 typ;   4 def)
%            Number of atoms       :  151 (   3 equ)
%            Maximal formula atoms :    3 (   3 avg)
%            Number of connectives :   66 (  34   ~;  27   |;   0   &)
%                                         (   4 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :   78 (  78 fml;   0 var)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   13 (  10 usr;  10 prp; 0-2 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    6 (   0 sgn   6   !;   0   ?;   6   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    num: $tType ).

tff(pred_def_1,type,
    knows_THFTYPE_IiooI: ( $i * $o ) > $o ).

tff(f1,axiom,
    knows_THFTYPE_IiooI(lChris_THFTYPE_i,lChris_THFTYPE_i = lChris_THFTYPE_i),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax) ).

tff(f2,axiom,
    likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_001) ).

tff(f3,axiom,
    knows_THFTYPE_IiooI(lChris_THFTYPE_i,
      ! [X0: $i] :
        ( likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0)
       => likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0) )),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_002) ).

tff(f4,conjecture,
    knows_THFTYPE_IiooI(lChris_THFTYPE_i,likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

tff(f5,negated_conjecture,
    ~ knows_THFTYPE_IiooI(lChris_THFTYPE_i,likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i)),
    inference(negated_conjecture,[status(cth)],[f4]) ).

tff(f6,plain,
    ~ knows_THFTYPE_IiooI(lChris_THFTYPE_i,likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i)),
    inference(flattening,[],[f5]) ).

tff(f7,plain,
    knows_THFTYPE_IiooI(lChris_THFTYPE_i,
      ! [X0: $i] :
        ( likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
        | ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0) )),
    inference(ennf_transformation,[],[f3]) ).

tff(f8,plain,
    ( ( lChris_THFTYPE_i != lChris_THFTYPE_i )
    | knows_THFTYPE_IiooI(lChris_THFTYPE_i,$true) ),
    inference(cnf_transformation,[],[f1]) ).

tff(f10,plain,
    likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i),
    inference(cnf_transformation,[],[f2]) ).

tff(f11,plain,
    ! [X0: $i] :
      ( ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0)
      | likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
      | knows_THFTYPE_IiooI(lChris_THFTYPE_i,$false) ),
    inference(cnf_transformation,[],[f7]) ).

tff(f14,plain,
    ( ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i)
    | ~ knows_THFTYPE_IiooI(lChris_THFTYPE_i,$true) ),
    inference(cnf_transformation,[],[f6]) ).

tff(f15,plain,
    ( likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i)
    | ~ knows_THFTYPE_IiooI(lChris_THFTYPE_i,$false) ),
    inference(cnf_transformation,[],[f6]) ).

tff(f19,plain,
    ( ( lChris_THFTYPE_i != lChris_THFTYPE_i )
    | ~ knows_THFTYPE_IiooI(lChris_THFTYPE_i,$true) ),
    inference(consistent_polarity_flipping,[],[f8]) ).

tff(f20,plain,
    ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i),
    inference(consistent_polarity_flipping,[],[f10]) ).

tff(f23,plain,
    ! [X0: $i] :
      ( likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0)
      | ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
      | ~ knows_THFTYPE_IiooI(lChris_THFTYPE_i,$false) ),
    inference(consistent_polarity_flipping,[],[f11]) ).

tff(f24,plain,
    ( ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i)
    | knows_THFTYPE_IiooI(lChris_THFTYPE_i,$false) ),
    inference(consistent_polarity_flipping,[],[f15]) ).

tff(f25,plain,
    ( likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i)
    | knows_THFTYPE_IiooI(lChris_THFTYPE_i,$true) ),
    inference(consistent_polarity_flipping,[],[f14]) ).

tff(f26,plain,
    ~ knows_THFTYPE_IiooI(lChris_THFTYPE_i,$true),
    inference(trivial_inequality_removal,[],[f19]) ).

tff(f28,definition,
    ( spl1_1
  <=> knows_THFTYPE_IiooI(lChris_THFTYPE_i,$true) ),
    introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).

tff(f32,definition,
    ( spl1_2
  <=> likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i) ),
    introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).

tff(f34,plain,
    ( likes_THFTYPE_IiioI(lSue_THFTYPE_i,lBill_THFTYPE_i)
    | ~ spl1_2 ),
    inference(avatar_component_clause,[],[f32]) ).

tff(f35,plain,
    ( spl1_1
    | spl1_2 ),
    inference(avatar_split_clause,[],[f25,f32,f28]) ).

tff(f37,definition,
    ( spl1_3
  <=> knows_THFTYPE_IiooI(lChris_THFTYPE_i,$false) ),
    introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).

tff(f40,plain,
    ( spl1_3
    | ~ spl1_2 ),
    inference(avatar_split_clause,[],[f24,f32,f37]) ).

tff(f42,definition,
    ( spl1_4
  <=> ! [X0: $i] :
        ( likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0)
        | ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0) ) ),
    introduced(definition,[new_symbols(definition,[spl1_4])],[avatar_definition]) ).

tff(f43,plain,
    ( ! [X0: $i] :
        ( ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
        | likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0) )
    | ~ spl1_4 ),
    inference(avatar_component_clause,[],[f42]) ).

tff(f44,plain,
    ( ~ spl1_3
    | spl1_4 ),
    inference(avatar_split_clause,[],[f23,f42,f37]) ).

tff(f55,plain,
    ~ spl1_1,
    inference(avatar_split_clause,[],[f26,f28]) ).

tff(f60,plain,
    ( likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i)
    | ~ spl1_2
    | ~ spl1_4 ),
    inference(resolution,[],[f43,f34]) ).

tff(f61,plain,
    ( $false
    | ~ spl1_2
    | ~ spl1_4 ),
    inference(forward_subsumption_resolution,[],[f60,f20]) ).

tff(f62,plain,
    ( ~ spl1_2
    | ~ spl1_4 ),
    inference(avatar_contradiction_clause,[],[f61]) ).

cnf(s1,plain,
    ( spl1_1
    | spl1_2 ),
    inference(sat_conversion,[],[f35]) ).

cnf(s2,plain,
    ( ~ spl1_2
    | spl1_3 ),
    inference(sat_conversion,[],[f40]) ).

cnf(s3,plain,
    ( ~ spl1_3
    | spl1_4 ),
    inference(sat_conversion,[],[f44]) ).

cnf(s6,plain,
    ~ spl1_1,
    inference(sat_conversion,[],[f55]) ).

cnf(s7,plain,
    ( ~ spl1_2
    | ~ spl1_4 ),
    inference(sat_conversion,[],[f62]) ).

cnf(s8,plain,
    spl1_2,
    inference(rat,[],[s1,s6]) ).

cnf(s9,plain,
    ~ spl1_4,
    inference(rat,[],[s7,s8]) ).

cnf(s10,plain,
    spl1_3,
    inference(rat,[],[s2,s8]) ).

cnf(s11,plain,
    $false,
    inference(rat,[],[s3,s9,s10]) ).

tff(f63,plain,
    $false,
    inference(avatar_sat_refutation,[],[s11]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR152_8 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.19  % Computer : n009.cluster.edu
% 0.10/0.19  % Model    : x86_64 x86_64
% 0.10/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19  % Memory   : 8046.5625MB
% 0.10/0.19  % OS       : Linux 6.8.0-71-generic
% 0.10/0.19  % CPULimit : 300
% 0.10/0.19  % WCLimit  : 300
% 0.10/0.19  % DateTime : Mon Sep 28 23:38:30 UTC 2026
% 0.10/0.19  % CPUTime  : 
% 0.10/0.19  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.22  Running first-order model finding
% 0.10/0.22  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.27  % (3605064)Will run a generic schedule for satisfiability detection.
% 0.10/0.27  % (3605069)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3140897894_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.27  % Detected minimum model sizes of [1,1]
% 0.10/0.27  % Detected maximum model sizes of [5,5]
% 0.10/0.27  % TRYING [1,1]
% 0.10/0.27  % TRYING [1,2]
% 0.10/0.27  % TRYING [2,2]
% 0.10/0.27  % TRYING [1,3]
% 0.10/0.27  % TRYING [2,3]
% 0.10/0.27  % TRYING [1,4]
% 0.10/0.27  % TRYING [2,4]
% 0.10/0.27  % TRYING [1,5]
% 0.10/0.27  % TRYING [2,5]
% 0.10/0.27  % (3605069)Cannot enumerate next child to try in an incomplete setup
% 0.10/0.27  % (3605069)Refutation not found, incomplete strategy
% 0.10/0.27  % (3605069)------------------------------
% 0.10/0.27  % (3605069)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.27  % (3605069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.27  % (3605069)CaDiCaL version: 2.1.3
% 0.10/0.27  % (3605069)Termination reason: Refutation not found, incomplete strategy
% 0.10/0.27  % (3605069)Time elapsed: 0.002 s
% 0.10/0.27  % (3605069)Peak memory usage: 11 MB
% 0.10/0.27  % (3605069)Instructions burned: 4 (million)
% 0.10/0.27  % (3605069)------------------------------
% 0.10/0.27  % (3605069)------------------------------
% 0.10/0.27  % (3605070)% WARNING: option uhcvi not known.
% 0.10/0.27  % (3605070)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=594228732:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.27  % (3605071)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=421273923:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.27  % (3605072)dis+10_1_sil=32000:sp=arity:random_seed=2116454988:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.27  % (3605073)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3481561492:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.27  % (3605074)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=729100632:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.27  % (3605075)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2086997866:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.27  % (3605070) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3605064-3605070"...
% 0.10/0.27  % (3605073) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3605064-3605073"...
% 0.10/0.27  % (3605072) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3605064-3605072"...
% 0.10/0.27  % (3605074) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3605064-3605074"...
% 0.10/0.27  % (3605075) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3605064-3605075"...
% 0.10/0.27  % (3605070)...printing done.
% 0.10/0.27  % (3605073)...printing done.
% 0.10/0.27  % (3605071) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3605064-3605071"...
% 0.10/0.27  % (3605070)Refutation found. Thanks to Tanya!
% 0.10/0.27  % SZS status Theorem for theBenchmark
% 0.10/0.27  % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.27  % (3605070)------------------------------
% 0.10/0.27  % (3605070)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.27  % (3605070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.27  % (3605070)CaDiCaL version: 2.1.3
% 0.10/0.27  % (3605070)Termination reason: Refutation
% 0.10/0.27  % (3605070)Time elapsed: 0.002 s
% 0.10/0.27  % (3605070)Peak memory usage: 12 MB
% 0.10/0.27  % (3605070)Instructions burned: 1 (million)
% 0.10/0.27  % (3605064)Success in time 0.042 s
% 0.10/0.27  % Vampire exiting
%------------------------------------------------------------------------------