TSTP Solution File: SWV961-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV961-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n021.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 19:02:08 EDT 2022

% Result   : Unsatisfiable 1.73s 1.75s
% Output   : Refutation 1.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   14 (   8 unt;   3 typ;   0 def)
%            Number of atoms       :   16 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   14 (   9   ~;   5   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of types       :    4 (   0 usr;   3 ari)
%            Number of type conns  :    6 (   3   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :    7 (   6 usr;   2 prp; 0-5 aty)
%            Number of functors    :   12 (  12 usr;   6 con; 0-5 aty)
%            Number of variables   :    3 (   3   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_20,type,
    sQ1_eqProxy: ( $int * $int ) > $o ).

tff(pred_def_21,type,
    sQ2_eqProxy: ( $rat * $rat ) > $o ).

tff(pred_def_22,type,
    sQ3_eqProxy: ( $real * $real ) > $o ).

fof(f2070,plain,
    $false,
    inference(subsumption_resolution,[],[f2069,f816]) ).

fof(f816,plain,
    hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__CHAINED__1(v_E____,v_P,v_T_092_060_094isub_0622____,v_e_092_060_094isub_0622_H____,v_h_Ha____)),v_T_092_060_094isub_0622____)),
    inference(literal_reordering,[],[f542]) ).

fof(f542,axiom,
    hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__CHAINED__1(v_E____,v_P,v_T_092_060_094isub_0622____,v_e_092_060_094isub_0622_H____,v_h_Ha____)),v_T_092_060_094isub_0622____)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_1) ).

fof(f2069,plain,
    ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),v_sko__CHAINED__1(v_E____,v_P,v_T_092_060_094isub_0622____,v_e_092_060_094isub_0622_H____,v_h_Ha____)),v_T_092_060_094isub_0622____)),
    inference(resolution,[],[f2068,f751]) ).

fof(f751,plain,
    c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_092_060_094isub_0622_H____,v_sko__CHAINED__1(v_E____,v_P,v_T_092_060_094isub_0622____,v_e_092_060_094isub_0622_H____,v_h_Ha____)),
    inference(literal_reordering,[],[f543]) ).

fof(f543,axiom,
    c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_092_060_094isub_0622_H____,v_sko__CHAINED__1(v_E____,v_P,v_T_092_060_094isub_0622____,v_e_092_060_094isub_0622_H____,v_h_Ha____)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).

fof(f2068,plain,
    ! [X94] :
      ( ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_092_060_094isub_0622_H____,X94)
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X94),v_T_092_060_094isub_0622____)) ),
    inference(subsumption_resolution,[],[f922,f830]) ).

fof(f830,plain,
    ~ v_thesis____,
    inference(literal_reordering,[],[f544]) ).

fof(f544,axiom,
    ~ v_thesis____,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f922,plain,
    ! [X94] :
      ( ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_092_060_094isub_0622_H____,X94)
      | v_thesis____
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X94),v_T_092_060_094isub_0622____)) ),
    inference(literal_reordering,[],[f538]) ).

fof(f538,axiom,
    ! [X94] :
      ( ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_092_060_094isub_0622_H____,X94)
      | v_thesis____
      | ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X94),v_T_092_060_094isub_0622____)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_that_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.87  % Problem    : SWV961-1 : TPTP v8.1.0. Released v4.1.0.
% 0.12/0.94  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/1.38  % Computer : n021.cluster.edu
% 0.14/1.38  % Model    : x86_64 x86_64
% 0.14/1.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/1.38  % Memory   : 8042.1875MB
% 0.14/1.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/1.38  % CPULimit   : 300
% 0.14/1.38  % WCLimit    : 300
% 0.14/1.38  % DateTime   : Tue Aug 30 20:07:12 EDT 2022
% 0.14/1.38  % CPUTime    : 
% 0.18/1.62  % (19226)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.18/1.63  % (19218)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/1.65  % (19234)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.31/1.66  % (19214)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.31/1.67  % (19224)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.31/1.67  % (19237)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.31/1.68  % (19216)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.31/1.68  % (19221)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.31/1.68  % (19230)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.31/1.68  % (19228)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.31/1.69  % (19240)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.31/1.69  % (19220)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.31/1.69  % (19229)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.31/1.69  % (19232)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.31/1.70  % (19222)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.31/1.70  % (19236)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.31/1.70  % (19238)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.73/1.71  % (19218)Instruction limit reached!
% 1.73/1.71  % (19218)------------------------------
% 1.73/1.71  % (19218)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/1.71  % (19220)Instruction limit reached!
% 1.73/1.71  % (19220)------------------------------
% 1.73/1.71  % (19220)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/1.71  % (19220)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/1.71  % (19220)Termination reason: Unknown
% 1.73/1.71  % (19220)Termination phase: Blocked clause elimination
% 1.73/1.71  
% 1.73/1.71  % (19220)Memory used [KB]: 1407
% 1.73/1.71  % (19220)Time elapsed: 0.003 s
% 1.73/1.71  % (19220)Instructions burned: 2 (million)
% 1.73/1.71  % (19220)------------------------------
% 1.73/1.71  % (19220)------------------------------
% 1.73/1.72  % (19218)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/1.72  % (19218)Termination reason: Unknown
% 1.73/1.72  % (19218)Termination phase: Finite model building preprocessing
% 1.73/1.72  
% 1.73/1.72  % (19218)Memory used [KB]: 2430
% 1.73/1.72  % (19218)Time elapsed: 0.033 s
% 1.73/1.72  % (19218)Instructions burned: 53 (million)
% 1.73/1.72  % (19218)------------------------------
% 1.73/1.72  % (19218)------------------------------
% 1.73/1.73  % (19225)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.73/1.73  % (19239)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.73/1.74  % (19241)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.73/1.74  % (19227)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.73/1.74  % (19217)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.73/1.74  % (19214)Instruction limit reached!
% 1.73/1.74  % (19214)------------------------------
% 1.73/1.74  % (19214)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/1.74  % (19214)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/1.74  % (19214)Termination reason: Unknown
% 1.73/1.74  % (19214)Termination phase: Property scanning
% 1.73/1.74  
% 1.73/1.74  % (19214)Memory used [KB]: 1407
% 1.73/1.74  % (19214)Time elapsed: 0.022 s
% 1.73/1.74  % (19214)Instructions burned: 37 (million)
% 1.73/1.74  % (19214)------------------------------
% 1.73/1.74  % (19214)------------------------------
% 1.73/1.74  % (19226)First to succeed.
% 1.73/1.75  % (19233)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.73/1.75  % (19215)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.73/1.75  % (19213)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.73/1.75  % (19231)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.73/1.75  % (19226)Refutation found. Thanks to Tanya!
% 1.73/1.75  % SZS status Unsatisfiable for theBenchmark
% 1.73/1.75  % SZS output start Proof for theBenchmark
% See solution above
% 1.73/1.75  % (19226)------------------------------
% 1.73/1.75  % (19226)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.73/1.75  % (19226)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.73/1.75  % (19226)Termination reason: Refutation
% 1.73/1.75  
% 1.73/1.75  % (19226)Memory used [KB]: 7675
% 1.73/1.75  % (19226)Time elapsed: 0.056 s
% 1.73/1.75  % (19226)Instructions burned: 62 (million)
% 1.73/1.75  % (19226)------------------------------
% 1.73/1.75  % (19226)------------------------------
% 1.73/1.75  % (19211)Success in time 0.362 s
%------------------------------------------------------------------------------