TSTP Solution File: ALG348-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : ALG348-1 : 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 : n026.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 15:44:09 EDT 2022

% Result   : Unsatisfiable 2.18s 0.69s
% Output   : Refutation 2.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    6 (   5 unt;   0 def)
%            Number of atoms       :    7 (   4 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    4 (   3   ~;   1   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-3 aty)
%            Number of variables   :    7 (   7   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1062,plain,
    $false,
    inference(trivial_inequality_removal,[],[f1061]) ).

fof(f1061,plain,
    c_Polynomial_Opoly(v_p,c_HOL_Oplus__class_Oplus(v_a,v_x,tc_Complex_Ocomplex),tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_p,c_HOL_Oplus__class_Oplus(v_a,v_x,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
    inference(backward_demodulation,[],[f802,f1059]) ).

fof(f1059,plain,
    ! [X8,X9,X7] : c_Polynomial_Opoly(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X7,X8,tc_Complex_Ocomplex),X9,tc_Complex_Ocomplex) = c_Polynomial_Opoly(X7,c_HOL_Oplus__class_Oplus(X8,X9,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
    inference(resolution,[],[f792,f910]) ).

fof(f910,axiom,
    class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0) ).

fof(f792,axiom,
    ! [X0,X1,X7,X24] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
      | c_Polynomial_Opoly(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X7,X24,X0),X1,X0) = c_Polynomial_Opoly(X7,c_HOL_Oplus__class_Oplus(X24,X1,X0),X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_poly__offset__poly_0) ).

fof(f802,axiom,
    c_Polynomial_Opoly(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_p,v_a,tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex) != c_Polynomial_Opoly(v_p,c_HOL_Oplus__class_Oplus(v_a,v_x,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : ALG348-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34  % Computer : n026.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Mon Aug 29 15:20:50 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 1.09/0.54  % (9822)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)
% 1.09/0.55  % (9828)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)
% 1.09/0.55  % (9842)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)
% 1.09/0.55  % (9819)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)
% 1.09/0.55  % (9834)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)
% 1.09/0.56  % (9838)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)
% 1.32/0.56  % (9826)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.32/0.56  % (9841)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)
% 1.32/0.57  % (9837)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.32/0.57  % (9823)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.32/0.57  % (9830)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)
% 1.32/0.57  % (9821)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)
% 1.32/0.57  % (9820)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)
% 1.32/0.58  % (9829)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.32/0.58  % (9843)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.32/0.58  % (9846)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)
% 1.32/0.58  % (9826)Instruction limit reached!
% 1.32/0.58  % (9826)------------------------------
% 1.32/0.58  % (9826)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.58  % (9826)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.58  % (9826)Termination reason: Unknown
% 1.32/0.58  % (9826)Termination phase: Saturation
% 1.32/0.58  
% 1.32/0.58  % (9826)Memory used [KB]: 6396
% 1.32/0.58  % (9826)Time elapsed: 0.011 s
% 1.32/0.58  % (9826)Instructions burned: 8 (million)
% 1.32/0.58  % (9826)------------------------------
% 1.32/0.58  % (9826)------------------------------
% 1.32/0.58  % (9824)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)
% 1.32/0.58  % (9840)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.32/0.58  % (9845)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)
% 1.32/0.59  % (9848)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)
% 1.32/0.59  % (9827)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.32/0.59  % (9835)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)
% 1.32/0.59  % (9827)Instruction limit reached!
% 1.32/0.59  % (9827)------------------------------
% 1.32/0.59  % (9827)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.59  % (9827)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.59  % (9827)Termination reason: Unknown
% 1.32/0.59  % (9827)Termination phase: Unused predicate definition removal
% 1.32/0.59  
% 1.32/0.59  % (9827)Memory used [KB]: 1791
% 1.32/0.59  % (9827)Time elapsed: 0.003 s
% 1.32/0.59  % (9827)Instructions burned: 2 (million)
% 1.32/0.59  % (9827)------------------------------
% 1.32/0.59  % (9827)------------------------------
% 1.32/0.59  % (9825)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)
% 1.32/0.59  % (9833)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)
% 1.32/0.59  % (9832)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.32/0.59  % (9839)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)
% 1.32/0.60  % (9836)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.32/0.60  % (9844)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.32/0.61  % (9831)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.32/0.61  % (9847)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.32/0.63  % (9821)Instruction limit reached!
% 1.32/0.63  % (9821)------------------------------
% 1.32/0.63  % (9821)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.63  % (9821)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.63  % (9821)Termination reason: Unknown
% 1.32/0.63  % (9821)Termination phase: Saturation
% 1.32/0.63  
% 1.32/0.63  % (9821)Memory used [KB]: 2174
% 1.32/0.63  % (9821)Time elapsed: 0.023 s
% 1.32/0.63  % (9821)Instructions burned: 37 (million)
% 1.32/0.63  % (9821)------------------------------
% 1.32/0.63  % (9821)------------------------------
% 1.92/0.64  % (9824)Instruction limit reached!
% 1.92/0.64  % (9824)------------------------------
% 1.92/0.64  % (9824)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.64  % (9824)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.64  % (9824)Termination reason: Unknown
% 1.92/0.64  % (9824)Termination phase: Saturation
% 1.92/0.64  
% 1.92/0.64  % (9824)Memory used [KB]: 6780
% 1.92/0.64  % (9824)Time elapsed: 0.201 s
% 1.92/0.64  % (9824)Instructions burned: 48 (million)
% 1.92/0.64  % (9824)------------------------------
% 1.92/0.64  % (9824)------------------------------
% 1.92/0.65  % (9828)Instruction limit reached!
% 1.92/0.65  % (9828)------------------------------
% 1.92/0.65  % (9828)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.65  % (9828)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.65  % (9828)Termination reason: Unknown
% 1.92/0.65  % (9828)Termination phase: Saturation
% 1.92/0.65  
% 1.92/0.65  % (9828)Memory used [KB]: 2686
% 1.92/0.65  % (9828)Time elapsed: 0.184 s
% 1.92/0.65  % (9828)Instructions burned: 52 (million)
% 1.92/0.65  % (9828)------------------------------
% 1.92/0.65  % (9828)------------------------------
% 1.92/0.65  % (9823)Instruction limit reached!
% 1.92/0.65  % (9823)------------------------------
% 1.92/0.65  % (9823)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.65  % (9823)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.65  % (9823)Termination reason: Unknown
% 1.92/0.65  % (9823)Termination phase: Saturation
% 1.92/0.65  
% 1.92/0.65  % (9823)Memory used [KB]: 6780
% 1.92/0.65  % (9823)Time elapsed: 0.025 s
% 1.92/0.65  % (9823)Instructions burned: 52 (million)
% 1.92/0.65  % (9823)------------------------------
% 1.92/0.65  % (9823)------------------------------
% 1.92/0.66  % (9822)Instruction limit reached!
% 1.92/0.66  % (9822)------------------------------
% 1.92/0.66  % (9822)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.66  % (9822)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.66  % (9822)Termination reason: Unknown
% 1.92/0.66  % (9822)Termination phase: Saturation
% 1.92/0.66  
% 1.92/0.66  % (9822)Memory used [KB]: 6908
% 1.92/0.66  % (9822)Time elapsed: 0.193 s
% 1.92/0.66  % (9822)Instructions burned: 52 (million)
% 1.92/0.66  % (9822)------------------------------
% 1.92/0.66  % (9822)------------------------------
% 1.92/0.66  % (9829)Instruction limit reached!
% 1.92/0.66  % (9829)------------------------------
% 1.92/0.66  % (9829)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.66  % (9829)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.66  % (9829)Termination reason: Unknown
% 1.92/0.66  % (9829)Termination phase: Saturation
% 1.92/0.66  
% 1.92/0.66  % (9829)Memory used [KB]: 7164
% 1.92/0.66  % (9829)Time elapsed: 0.204 s
% 1.92/0.66  % (9829)Instructions burned: 50 (million)
% 1.92/0.66  % (9829)------------------------------
% 1.92/0.66  % (9829)------------------------------
% 1.92/0.66  % (9820)Instruction limit reached!
% 1.92/0.66  % (9820)------------------------------
% 1.92/0.66  % (9820)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.66  % (9820)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.92/0.66  % (9820)Termination reason: Unknown
% 1.92/0.66  % (9820)Termination phase: Saturation
% 1.92/0.66  
% 1.92/0.66  % (9820)Memory used [KB]: 7036
% 1.92/0.66  % (9820)Time elapsed: 0.215 s
% 1.92/0.66  % (9820)Instructions burned: 50 (million)
% 1.92/0.66  % (9820)------------------------------
% 1.92/0.66  % (9820)------------------------------
% 2.18/0.67  % (9825)Instruction limit reached!
% 2.18/0.67  % (9825)------------------------------
% 2.18/0.67  % (9825)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.18/0.67  % (9825)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.18/0.67  % (9825)Termination reason: Unknown
% 2.18/0.67  % (9825)Termination phase: Finite model building preprocessing
% 2.18/0.67  
% 2.18/0.67  % (9825)Memory used [KB]: 3198
% 2.18/0.67  % (9825)Time elapsed: 0.026 s
% 2.18/0.67  % (9825)Instructions burned: 51 (million)
% 2.18/0.67  % (9825)------------------------------
% 2.18/0.67  % (9825)------------------------------
% 2.18/0.69  % (9848)First to succeed.
% 2.18/0.69  % (9834)Instruction limit reached!
% 2.18/0.69  % (9834)------------------------------
% 2.18/0.69  % (9834)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.18/0.69  % (9834)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.18/0.69  % (9834)Termination reason: Unknown
% 2.18/0.69  % (9834)Termination phase: Saturation
% 2.18/0.69  
% 2.18/0.69  % (9834)Memory used [KB]: 2686
% 2.18/0.69  % (9834)Time elapsed: 0.219 s
% 2.18/0.69  % (9834)Instructions burned: 76 (million)
% 2.18/0.69  % (9834)------------------------------
% 2.18/0.69  % (9834)------------------------------
% 2.18/0.69  % (9848)Refutation found. Thanks to Tanya!
% 2.18/0.69  % SZS status Unsatisfiable for theBenchmark
% 2.18/0.69  % SZS output start Proof for theBenchmark
% See solution above
% 2.18/0.69  % (9848)------------------------------
% 2.18/0.69  % (9848)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.18/0.69  % (9848)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.18/0.69  % (9848)Termination reason: Refutation
% 2.18/0.69  
% 2.18/0.69  % (9848)Memory used [KB]: 7164
% 2.18/0.69  % (9848)Time elapsed: 0.233 s
% 2.18/0.69  % (9848)Instructions burned: 54 (million)
% 2.18/0.69  % (9848)------------------------------
% 2.18/0.69  % (9848)------------------------------
% 2.18/0.69  % (9818)Success in time 0.333 s
%------------------------------------------------------------------------------