TSTP Solution File: SWV839-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV839-1 : 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 : n001.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 19:01:48 EDT 2022

% Result   : Unsatisfiable 0.10s 0.51s
% Output   : Refutation 0.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   15 (  15 unt;   0 def)
%            Number of atoms       :   15 (   4 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    5 (   5   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   15 (  15 usr;   5 con; 0-4 aty)
%            Number of variables   :   25 (  25   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f773,plain,
    $false,
    inference(subsumption_resolution,[],[f737,f738]) ).

fof(f738,plain,
    ! [X31,X1,X25] : c_Hoare__Mirabelle_Ohoare__derivs(X31,hAPP(c_COMBC(c_fequal(tc_Hoare__Mirabelle_Otriple(X1)),tc_Hoare__Mirabelle_Otriple(X1),tc_Hoare__Mirabelle_Otriple(X1),tc_bool),c_Hoare__Mirabelle_Otriple_Otriple(X25,c_Com_Ocom_OSKIP,X25,X1)),X1),
    inference(backward_demodulation,[],[f666,f163]) ).

fof(f163,axiom,
    ! [X1,X5] : c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X5,tc_fun(X1,tc_bool)) = X5,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__empty__left_0) ).

fof(f666,plain,
    ! [X31,X1,X25] : c_Hoare__Mirabelle_Ohoare__derivs(X31,c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_bool)),hAPP(c_COMBC(c_fequal(tc_Hoare__Mirabelle_Otriple(X1)),tc_Hoare__Mirabelle_Otriple(X1),tc_Hoare__Mirabelle_Otriple(X1),tc_bool),c_Hoare__Mirabelle_Otriple_Otriple(X25,c_Com_Ocom_OSKIP,X25,X1)),tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_bool)),X1),
    inference(forward_demodulation,[],[f665,f287]) ).

fof(f287,axiom,
    ! [X1,X25] : c_Collect(X25,X1) = X25,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Collect__def_0) ).

fof(f665,plain,
    ! [X31,X1,X25] : c_Hoare__Mirabelle_Ohoare__derivs(X31,c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_bool)),c_Collect(hAPP(c_COMBC(c_fequal(tc_Hoare__Mirabelle_Otriple(X1)),tc_Hoare__Mirabelle_Otriple(X1),tc_Hoare__Mirabelle_Otriple(X1),tc_bool),c_Hoare__Mirabelle_Otriple_Otriple(X25,c_Com_Ocom_OSKIP,X25,X1)),tc_Hoare__Mirabelle_Otriple(X1)),tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_bool)),X1),
    inference(forward_demodulation,[],[f554,f252]) ).

fof(f252,axiom,
    ! [X1,X4,X5] : c_Lattices_Oupper__semilattice__class_Osup(X4,X5,tc_fun(X1,tc_bool)) = c_Lattices_Oupper__semilattice__class_Osup(X5,X4,tc_fun(X1,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__commute_0) ).

fof(f554,plain,
    ! [X31,X1,X25] : c_Hoare__Mirabelle_Ohoare__derivs(X31,c_Lattices_Oupper__semilattice__class_Osup(c_Collect(hAPP(c_COMBC(c_fequal(tc_Hoare__Mirabelle_Otriple(X1)),tc_Hoare__Mirabelle_Otriple(X1),tc_Hoare__Mirabelle_Otriple(X1),tc_bool),c_Hoare__Mirabelle_Otriple_Otriple(X25,c_Com_Ocom_OSKIP,X25,X1)),tc_Hoare__Mirabelle_Otriple(X1)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_bool)),tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_bool)),X1),
    inference(definition_unfolding,[],[f386,f18]) ).

fof(f18,axiom,
    ! [X1,X7,X5] : c_Set_Oinsert(X7,X5,X1) = c_Lattices_Oupper__semilattice__class_Osup(c_Collect(hAPP(c_COMBC(c_fequal(X1),X1,X1,tc_bool),X7),X1),X5,tc_fun(X1,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__def_0) ).

fof(f386,axiom,
    ! [X31,X1,X25] : c_Hoare__Mirabelle_Ohoare__derivs(X31,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(X25,c_Com_Ocom_OSKIP,X25,X1),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_bool)),tc_Hoare__Mirabelle_Otriple(X1)),X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_hoare__derivs_OSkip_0) ).

fof(f737,plain,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,hAPP(c_COMBC(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),tc_Hoare__Mirabelle_Otriple(t_a),tc_Hoare__Mirabelle_Otriple(t_a),tc_bool),c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OSKIP,v_P,t_a)),t_a),
    inference(backward_demodulation,[],[f600,f163]) ).

fof(f600,plain,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),hAPP(c_COMBC(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),tc_Hoare__Mirabelle_Otriple(t_a),tc_Hoare__Mirabelle_Otriple(t_a),tc_bool),c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OSKIP,v_P,t_a)),tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),t_a),
    inference(backward_demodulation,[],[f571,f287]) ).

fof(f571,plain,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,c_Lattices_Oupper__semilattice__class_Osup(c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),c_Collect(hAPP(c_COMBC(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),tc_Hoare__Mirabelle_Otriple(t_a),tc_Hoare__Mirabelle_Otriple(t_a),tc_bool),c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OSKIP,v_P,t_a)),tc_Hoare__Mirabelle_Otriple(t_a)),tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),t_a),
    inference(backward_demodulation,[],[f473,f252]) ).

fof(f473,plain,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,c_Lattices_Oupper__semilattice__class_Osup(c_Collect(hAPP(c_COMBC(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),tc_Hoare__Mirabelle_Otriple(t_a),tc_Hoare__Mirabelle_Otriple(t_a),tc_bool),c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OSKIP,v_P,t_a)),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),t_a),
    inference(definition_unfolding,[],[f420,f18]) ).

fof(f420,axiom,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(v_P,c_Com_Ocom_OSKIP,v_P,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07  % Problem    : SWV839-1 : TPTP v8.1.0. Released v4.1.0.
% 0.00/0.07  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.07/0.25  % Computer : n001.cluster.edu
% 0.07/0.25  % Model    : x86_64 x86_64
% 0.07/0.25  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.25  % Memory   : 8042.1875MB
% 0.07/0.25  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.25  % CPULimit   : 300
% 0.07/0.25  % WCLimit    : 300
% 0.07/0.25  % DateTime   : Tue Aug 30 20:22:02 EDT 2022
% 0.07/0.26  % CPUTime    : 
% 0.10/0.39  % (23482)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.10/0.40  % (23478)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.10/0.41  % (23496)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.10/0.41  % (23507)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.10/0.42  % (23499)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)
% 0.10/0.42  % (23486)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.10/0.43  % (23490)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.10/0.43  % (23502)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.10/0.43  % (23486)Instruction limit reached!
% 0.10/0.43  % (23486)------------------------------
% 0.10/0.43  % (23486)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.43  % (23494)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)
% 0.10/0.44  % (23484)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)
% 0.10/0.44  % (23485)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.10/0.44  % (23479)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)
% 0.10/0.44  % (23501)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)
% 0.10/0.44  % (23486)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.44  % (23486)Termination reason: Unknown
% 0.10/0.44  % (23486)Termination phase: Function definition elimination
% 0.10/0.44  
% 0.10/0.44  % (23486)Memory used [KB]: 1407
% 0.10/0.44  % (23486)Time elapsed: 0.004 s
% 0.10/0.44  % (23486)Instructions burned: 3 (million)
% 0.10/0.44  % (23486)------------------------------
% 0.10/0.44  % (23486)------------------------------
% 0.10/0.44  % (23485)Instruction limit reached!
% 0.10/0.44  % (23485)------------------------------
% 0.10/0.44  % (23485)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.44  % (23495)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)
% 0.10/0.45  % (23492)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)
% 0.10/0.45  % (23500)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.10/0.45  % (23505)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)
% 0.10/0.45  % (23487)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)
% 0.10/0.45  % (23483)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)
% 0.10/0.45  % (23488)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.10/0.45  % (23480)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)
% 0.10/0.45  % (23481)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)
% 0.10/0.45  % (23497)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.10/0.46  % (23506)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)
% 0.10/0.46  % (23498)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)
% 0.10/0.46  % (23491)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.10/0.46  % (23489)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.10/0.46  % (23485)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.46  % (23485)Termination reason: Unknown
% 0.10/0.46  % (23485)Termination phase: Property scanning
% 0.10/0.46  
% 0.10/0.46  % (23485)Memory used [KB]: 1407
% 0.10/0.46  % (23485)Time elapsed: 0.007 s
% 0.10/0.46  % (23485)Instructions burned: 7 (million)
% 0.10/0.46  % (23485)------------------------------
% 0.10/0.46  % (23485)------------------------------
% 0.10/0.46  % (23508)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)
% 0.10/0.46  % (23503)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.10/0.47  % (23482)Instruction limit reached!
% 0.10/0.47  % (23482)------------------------------
% 0.10/0.47  % (23482)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.47  % (23482)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.47  % (23482)Termination reason: Unknown
% 0.10/0.47  % (23482)Termination phase: Saturation
% 0.10/0.47  
% 0.10/0.47  % (23482)Memory used [KB]: 6268
% 0.10/0.47  % (23482)Time elapsed: 0.024 s
% 0.10/0.47  % (23482)Instructions burned: 52 (million)
% 0.10/0.47  % (23482)------------------------------
% 0.10/0.47  % (23482)------------------------------
% 0.10/0.47  % (23496)Instruction limit reached!
% 0.10/0.47  % (23496)------------------------------
% 0.10/0.47  % (23496)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.47  % (23496)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.47  % (23496)Termination reason: Unknown
% 0.10/0.47  % (23496)Termination phase: Finite model building preprocessing
% 0.10/0.47  
% 0.10/0.47  % (23496)Memory used [KB]: 2430
% 0.10/0.47  % (23496)Time elapsed: 0.029 s
% 0.10/0.47  % (23496)Instructions burned: 61 (million)
% 0.10/0.47  % (23496)------------------------------
% 0.10/0.47  % (23496)------------------------------
% 0.10/0.48  % (23504)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.10/0.49  % (23480)Instruction limit reached!
% 0.10/0.49  % (23480)------------------------------
% 0.10/0.49  % (23480)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.50  % (23502)First to succeed.
% 0.10/0.51  % (23480)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.51  % (23480)Termination reason: Unknown
% 0.10/0.51  % (23480)Termination phase: Saturation
% 0.10/0.51  
% 0.10/0.51  % (23480)Memory used [KB]: 1663
% 0.10/0.51  % (23480)Time elapsed: 0.017 s
% 0.10/0.51  % (23480)Instructions burned: 38 (million)
% 0.10/0.51  % (23480)------------------------------
% 0.10/0.51  % (23480)------------------------------
% 0.10/0.51  % (23502)Refutation found. Thanks to Tanya!
% 0.10/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.10/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.51  % (23502)------------------------------
% 0.10/0.51  % (23502)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.51  % (23502)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.51  % (23502)Termination reason: Refutation
% 0.10/0.51  
% 0.10/0.51  % (23502)Memory used [KB]: 6396
% 0.10/0.51  % (23502)Time elapsed: 0.046 s
% 0.10/0.51  % (23502)Instructions burned: 60 (million)
% 0.10/0.51  % (23502)------------------------------
% 0.10/0.51  % (23502)------------------------------
% 0.10/0.51  % (23473)Success in time 0.242 s
%------------------------------------------------------------------------------