TSTP Solution File: SWV558-1.004 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWV558-1.004 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n004.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 : Sun May  5 11:07:09 EDT 2024

% Result   : Unsatisfiable 0.22s 0.39s
% Output   : Refutation 0.22s
% 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(f134,plain,
    $false,
    inference(trivial_inequality_removal,[],[f133]) ).

fof(f133,plain,
    a_17 != a_17,
    inference(superposition,[],[f114,f115]) ).

fof(f115,plain,
    a_17 = a1,
    inference(forward_demodulation,[],[f109,f6]) ).

fof(f6,axiom,
    a_17 = store(a1,i1,e_16),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp0) ).

fof(f109,plain,
    a1 = store(a1,i1,e_16),
    inference(backward_demodulation,[],[f39,f107]) ).

fof(f107,plain,
    e_16 = e_18,
    inference(forward_demodulation,[],[f100,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/sandbox2/benchmark/theBenchmark.p',a1) ).

fof(f100,plain,
    e_18 = select(a_17,i1),
    inference(backward_demodulation,[],[f26,f97]) ).

fof(f97,plain,
    a_17 = a_19,
    inference(backward_demodulation,[],[f91,f88]) ).

fof(f88,plain,
    a_17 = store(a_17,i2,e_20),
    inference(backward_demodulation,[],[f42,f86]) ).

fof(f86,plain,
    e_20 = e_22,
    inference(forward_demodulation,[],[f79,f27]) ).

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

fof(f8,axiom,
    a_21 = store(a_17,i2,e_20),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp2) ).

fof(f79,plain,
    e_22 = select(a_21,i2),
    inference(backward_demodulation,[],[f28,f76]) ).

fof(f76,plain,
    a_21 = a_23,
    inference(backward_demodulation,[],[f70,f67]) ).

fof(f67,plain,
    a_21 = store(a_21,i3,e_24),
    inference(backward_demodulation,[],[f46,f65]) ).

fof(f65,plain,
    e_24 = e_26,
    inference(forward_demodulation,[],[f60,f29]) ).

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

fof(f10,axiom,
    a_25 = store(a_21,i3,e_24),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp4) ).

fof(f60,plain,
    e_26 = select(a_25,i3),
    inference(backward_demodulation,[],[f30,f57]) ).

fof(f57,plain,
    a_25 = a_27,
    inference(backward_demodulation,[],[f55,f51]) ).

fof(f51,plain,
    a_25 = store(a_25,i4,e_28),
    inference(superposition,[],[f3,f35]) ).

fof(f35,plain,
    e_28 = select(a_25,i4),
    inference(backward_demodulation,[],[f21,f33]) ).

fof(f33,plain,
    e_28 = e_30,
    inference(forward_demodulation,[],[f32,f31]) ).

fof(f31,plain,
    e_28 = select(a_29,i4),
    inference(superposition,[],[f1,f12]) ).

fof(f12,axiom,
    a_29 = store(a_25,i4,e_28),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp6) ).

fof(f32,plain,
    e_30 = select(a_29,i4),
    inference(superposition,[],[f1,f24]) ).

fof(f24,plain,
    a_29 = store(a_27,i4,e_30),
    inference(forward_demodulation,[],[f13,f22]) ).

fof(f22,axiom,
    a_29 = a_31,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp16) ).

fof(f13,axiom,
    a_31 = store(a_27,i4,e_30),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp7) ).

fof(f21,axiom,
    e_30 = select(a_25,i4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp15) ).

fof(f3,axiom,
    ! [X0,X1] : store(X0,X1,select(X0,X1)) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a3) ).

fof(f55,plain,
    a_27 = store(a_25,i4,e_28),
    inference(backward_demodulation,[],[f12,f53]) ).

fof(f53,plain,
    a_27 = a_29,
    inference(backward_demodulation,[],[f34,f50]) ).

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/sandbox2/benchmark/theBenchmark.p',hyp14) ).

fof(f34,plain,
    a_29 = store(a_27,i4,e_28),
    inference(backward_demodulation,[],[f24,f33]) ).

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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',hyp13) ).

fof(f70,plain,
    a_23 = store(a_21,i3,e_24),
    inference(backward_demodulation,[],[f10,f69]) ).

fof(f69,plain,
    a_23 = a_25,
    inference(forward_demodulation,[],[f66,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/sandbox2/benchmark/theBenchmark.p',hyp12) ).

fof(f66,plain,
    a_25 = store(a_23,i3,e_24),
    inference(backward_demodulation,[],[f58,f65]) ).

fof(f58,plain,
    a_25 = store(a_23,i3,e_26),
    inference(backward_demodulation,[],[f11,f57]) ).

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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',hyp11) ).

fof(f91,plain,
    a_19 = store(a_17,i2,e_20),
    inference(backward_demodulation,[],[f8,f90]) ).

fof(f90,plain,
    a_19 = a_21,
    inference(forward_demodulation,[],[f87,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/sandbox2/benchmark/theBenchmark.p',hyp10) ).

fof(f87,plain,
    a_21 = store(a_19,i2,e_20),
    inference(backward_demodulation,[],[f77,f86]) ).

fof(f77,plain,
    a_21 = store(a_19,i2,e_22),
    inference(backward_demodulation,[],[f9,f76]) ).

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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',hyp9) ).

fof(f114,plain,
    a_17 != a1,
    inference(backward_demodulation,[],[f23,f111]) ).

fof(f111,plain,
    a_17 = a2,
    inference(backward_demodulation,[],[f41,f108]) ).

fof(f108,plain,
    a_17 = store(a2,i1,e_16),
    inference(backward_demodulation,[],[f98,f107]) ).

fof(f98,plain,
    a_17 = store(a2,i1,e_18),
    inference(backward_demodulation,[],[f7,f97]) ).

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

fof(f14,axiom,
    e_16 = select(a2,i1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp8) ).

fof(f23,axiom,
    a1 != a2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWV558-1.004 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36  % Computer : n004.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 20:59:38 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  % (30139)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38  % (30142)WARNING: value z3 for option sas not known
% 0.22/0.38  % (30141)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.38  % (30143)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.38  % (30146)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.22/0.38  % (30140)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.38  % (30145)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.22/0.38  % (30142)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.38  % (30144)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.22/0.38  TRYING [1]
% 0.22/0.38  TRYING [2]
% 0.22/0.39  TRYING [1]
% 0.22/0.39  % (30145)First to succeed.
% 0.22/0.39  TRYING [1]
% 0.22/0.39  % (30145)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-30139"
% 0.22/0.39  TRYING [2]
% 0.22/0.39  TRYING [2]
% 0.22/0.39  % (30146)Also succeeded, but the first one will report.
% 0.22/0.39  TRYING [3]
% 0.22/0.39  % (30145)Refutation found. Thanks to Tanya!
% 0.22/0.39  % SZS status Unsatisfiable for theBenchmark
% 0.22/0.39  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.39  % (30145)------------------------------
% 0.22/0.39  % (30145)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.39  % (30145)Termination reason: Refutation
% 0.22/0.39  
% 0.22/0.39  % (30145)Memory used [KB]: 836
% 0.22/0.39  % (30145)Time elapsed: 0.007 s
% 0.22/0.39  % (30145)Instructions burned: 11 (million)
% 0.22/0.39  % (30139)Success in time 0.025 s
%------------------------------------------------------------------------------