TSTP Solution File: SWV558-1.004 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV558-1.004 : TPTP v8.1.0. Released v4.0.0.
% 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 19:00:52 EDT 2022

% Result   : Unsatisfiable 0.20s 0.50s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   69 (  69 unt;   0 def)
%            Number of atoms       :   69 (  68 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   24 (  24 usr;  22 con; 0-3 aty)
%            Number of variables   :    5 (   5   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f424,plain,
    $false,
    inference(trivial_inequality_removal,[],[f423]) ).

fof(f423,plain,
    a_17 != a_17,
    inference(superposition,[],[f420,f333]) ).

fof(f333,plain,
    a_17 = a1,
    inference(forward_demodulation,[],[f330,f6]) ).

fof(f6,axiom,
    a_17 = store(a1,i1,e_16),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp0) ).

fof(f330,plain,
    a1 = store(a1,i1,e_16),
    inference(superposition,[],[f39,f326]) ).

fof(f326,plain,
    e_16 = e_18,
    inference(forward_demodulation,[],[f321,f25]) ).

fof(f25,plain,
    e_16 = select(a_17,i1),
    inference(superposition,[],[f1,f6]) ).

fof(f1,axiom,
    ! [X2,X0,X1] : select(store(X0,X1,X2),X1) = X2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1) ).

fof(f321,plain,
    e_18 = select(a_17,i1),
    inference(superposition,[],[f26,f312]) ).

fof(f312,plain,
    a_17 = a_19,
    inference(superposition,[],[f209,f299]) ).

fof(f299,plain,
    a_17 = a_21,
    inference(superposition,[],[f192,f8]) ).

fof(f8,axiom,
    a_21 = store(a_17,i2,e_20),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp2) ).

fof(f192,plain,
    a_17 = store(a_17,i2,e_20),
    inference(superposition,[],[f42,f180]) ).

fof(f180,plain,
    e_20 = e_22,
    inference(forward_demodulation,[],[f176,f27]) ).

fof(f27,plain,
    e_20 = select(a_21,i2),
    inference(superposition,[],[f1,f8]) ).

fof(f176,plain,
    e_22 = select(a_21,i2),
    inference(superposition,[],[f28,f171]) ).

fof(f171,plain,
    a_21 = a_23,
    inference(superposition,[],[f108,f161]) ).

fof(f161,plain,
    a_21 = a_25,
    inference(superposition,[],[f99,f10]) ).

fof(f10,axiom,
    a_25 = store(a_21,i3,e_24),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp4) ).

fof(f99,plain,
    a_21 = store(a_21,i3,e_24),
    inference(superposition,[],[f46,f97]) ).

fof(f97,plain,
    e_24 = e_26,
    inference(forward_demodulation,[],[f94,f29]) ).

fof(f29,plain,
    e_24 = select(a_25,i3),
    inference(superposition,[],[f1,f10]) ).

fof(f94,plain,
    e_26 = select(a_25,i3),
    inference(superposition,[],[f30,f71]) ).

fof(f71,plain,
    a_25 = a_27,
    inference(superposition,[],[f68,f62]) ).

fof(f62,plain,
    a_27 = a_31,
    inference(superposition,[],[f50,f35]) ).

fof(f35,plain,
    a_31 = store(a_27,i4,e_28),
    inference(superposition,[],[f13,f34]) ).

fof(f34,plain,
    e_28 = e_30,
    inference(superposition,[],[f31,f32]) ).

fof(f32,plain,
    e_28 = select(a_31,i4),
    inference(superposition,[],[f1,f24]) ).

fof(f24,plain,
    store(a_25,i4,e_28) = a_31,
    inference(definition_unfolding,[],[f12,f22]) ).

fof(f22,axiom,
    a_29 = a_31,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp16) ).

fof(f12,axiom,
    a_29 = store(a_25,i4,e_28),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp6) ).

fof(f31,plain,
    e_30 = select(a_31,i4),
    inference(superposition,[],[f1,f13]) ).

fof(f13,axiom,
    a_31 = store(a_27,i4,e_30),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp7) ).

fof(f50,plain,
    a_27 = store(a_27,i4,e_28),
    inference(superposition,[],[f3,f20]) ).

fof(f20,axiom,
    e_28 = select(a_27,i4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp14) ).

fof(f3,axiom,
    ! [X0,X1] : store(X0,X1,select(X0,X1)) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a3) ).

fof(f68,plain,
    a_25 = a_31,
    inference(superposition,[],[f54,f24]) ).

fof(f54,plain,
    a_25 = store(a_25,i4,e_28),
    inference(forward_demodulation,[],[f51,f34]) ).

fof(f51,plain,
    a_25 = store(a_25,i4,e_30),
    inference(superposition,[],[f3,f21]) ).

fof(f21,axiom,
    e_30 = select(a_25,i4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp15) ).

fof(f30,plain,
    e_26 = select(a_27,i3),
    inference(superposition,[],[f1,f11]) ).

fof(f11,axiom,
    a_27 = store(a_23,i3,e_26),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp5) ).

fof(f46,plain,
    a_21 = store(a_21,i3,e_26),
    inference(superposition,[],[f3,f19]) ).

fof(f19,axiom,
    e_26 = select(a_21,i3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp13) ).

fof(f108,plain,
    a_23 = a_25,
    inference(superposition,[],[f71,f101]) ).

fof(f101,plain,
    a_23 = a_27,
    inference(forward_demodulation,[],[f100,f47]) ).

fof(f47,plain,
    a_23 = store(a_23,i3,e_24),
    inference(superposition,[],[f3,f18]) ).

fof(f18,axiom,
    e_24 = select(a_23,i3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp12) ).

fof(f100,plain,
    a_27 = store(a_23,i3,e_24),
    inference(superposition,[],[f11,f97]) ).

fof(f28,plain,
    e_22 = select(a_23,i2),
    inference(superposition,[],[f1,f9]) ).

fof(f9,axiom,
    a_23 = store(a_19,i2,e_22),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp3) ).

fof(f42,plain,
    a_17 = store(a_17,i2,e_22),
    inference(superposition,[],[f3,f17]) ).

fof(f17,axiom,
    e_22 = select(a_17,i2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp11) ).

fof(f209,plain,
    a_19 = a_21,
    inference(superposition,[],[f194,f171]) ).

fof(f194,plain,
    a_19 = a_23,
    inference(forward_demodulation,[],[f193,f43]) ).

fof(f43,plain,
    a_19 = store(a_19,i2,e_20),
    inference(superposition,[],[f3,f16]) ).

fof(f16,axiom,
    e_20 = select(a_19,i2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp10) ).

fof(f193,plain,
    a_23 = store(a_19,i2,e_20),
    inference(superposition,[],[f9,f180]) ).

fof(f26,plain,
    e_18 = select(a_19,i1),
    inference(superposition,[],[f1,f7]) ).

fof(f7,axiom,
    a_19 = store(a2,i1,e_18),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp1) ).

fof(f39,plain,
    a1 = store(a1,i1,e_18),
    inference(superposition,[],[f3,f15]) ).

fof(f15,axiom,
    e_18 = select(a1,i1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp9) ).

fof(f420,plain,
    a_17 != a1,
    inference(superposition,[],[f23,f411]) ).

fof(f411,plain,
    a_17 = a2,
    inference(superposition,[],[f334,f41]) ).

fof(f41,plain,
    a2 = store(a2,i1,e_16),
    inference(superposition,[],[f3,f14]) ).

fof(f14,axiom,
    e_16 = select(a2,i1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',hyp8) ).

fof(f334,plain,
    a_17 = store(a2,i1,e_16),
    inference(forward_demodulation,[],[f331,f312]) ).

fof(f331,plain,
    a_19 = store(a2,i1,e_16),
    inference(superposition,[],[f7,f326]) ).

fof(f23,axiom,
    a1 != a2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SWV558-1.004 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n021.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 19:38:11 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.44  % (2953)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)
% 0.20/0.48  % (2977)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)
% 0.20/0.48  % (2969)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)
% 0.20/0.49  % (2961)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)
% 0.20/0.49  % (2953)First to succeed.
% 0.20/0.50  % (2953)Refutation found. Thanks to Tanya!
% 0.20/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50  % (2953)------------------------------
% 0.20/0.50  % (2953)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (2953)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (2953)Termination reason: Refutation
% 0.20/0.50  
% 0.20/0.50  % (2953)Memory used [KB]: 5628
% 0.20/0.50  % (2953)Time elapsed: 0.119 s
% 0.20/0.50  % (2953)Instructions burned: 12 (million)
% 0.20/0.50  % (2953)------------------------------
% 0.20/0.50  % (2953)------------------------------
% 0.20/0.50  % (2949)Success in time 0.153 s
%------------------------------------------------------------------------------