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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : CSR038+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n017.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 09:44:31 AM UTC 2026

% Result   : Theorem 0.74s 0.51s
% Output   : Refutation 0.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   23 (   6 unt;   0 def)
%            Number of atoms       :   47 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   45 (  21   ~;  15   |;   4   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-4 aty)
%            Number of variables   :   28 (  26   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f64,axiom,
    ! [X0,X1,X2,X3] :
      ( ( isa(X0,X1)
        & relationexistsall(X2,X3,X1) )
     => isa(f_relationexistsallfn(X0,X2,X3,X1),X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_64) ).

fof(f134,axiom,
    isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_134) ).

fof(f244,axiom,
    ! [X0] :
      ( isa(X0,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
     => tptp_8_968(f_relationexistsallfn(X0,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_244) ).

fof(f245,axiom,
    relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_245) ).

fof(f673,axiom,
    ! [X0] :
      ( isa(X0,c_tptpcol_16_7738)
     => tptpcol_16_7738(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_673) ).

fof(f1132,conjecture,
    ? [X0] :
      ( mtvisible(c_knowledgefragmentd3mt)
     => ( tptp_8_968(X0,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
        & tptpcol_16_7738(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query88) ).

fof(f1133,negated_conjecture,
    ~ ? [X0] :
        ( mtvisible(c_knowledgefragmentd3mt)
       => ( tptp_8_968(X0,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
          & tptpcol_16_7738(X0) ) ),
    inference(negated_conjecture,[status(cth)],[f1132]) ).

fof(f1255,plain,
    ! [X0,X1,X2,X3] :
      ( isa(f_relationexistsallfn(X0,X2,X3,X1),X3)
      | ~ isa(X0,X1)
      | ~ relationexistsall(X2,X3,X1) ),
    inference(ennf_transformation,[],[f64]) ).

fof(f1256,plain,
    ! [X0,X1,X2,X3] :
      ( isa(f_relationexistsallfn(X0,X2,X3,X1),X3)
      | ~ isa(X0,X1)
      | ~ relationexistsall(X2,X3,X1) ),
    inference(flattening,[],[f1255]) ).

fof(f1344,plain,
    ! [X0] :
      ( tptp_8_968(f_relationexistsallfn(X0,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),X0)
      | ~ isa(X0,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) ),
    inference(ennf_transformation,[],[f244]) ).

fof(f1619,plain,
    ! [X0] :
      ( tptpcol_16_7738(X0)
      | ~ isa(X0,c_tptpcol_16_7738) ),
    inference(ennf_transformation,[],[f673]) ).

fof(f2022,plain,
    ! [X0] :
      ( ( ~ tptp_8_968(X0,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
        | ~ tptpcol_16_7738(X0) )
      & mtvisible(c_knowledgefragmentd3mt) ),
    inference(ennf_transformation,[],[f1133]) ).

fof(f2086,plain,
    ! [X2,X3,X0,X1] :
      ( ~ relationexistsall(X2,X3,X1)
      | ~ isa(X0,X1)
      | isa(f_relationexistsallfn(X0,X2,X3,X1),X3) ),
    inference(cnf_transformation,[],[f1256]) ).

fof(f2155,plain,
    isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
    inference(cnf_transformation,[],[f134]) ).

fof(f2265,plain,
    ! [X0] :
      ( tptp_8_968(f_relationexistsallfn(X0,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),X0)
      | ~ isa(X0,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) ),
    inference(cnf_transformation,[],[f1344]) ).

fof(f2266,plain,
    relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
    inference(cnf_transformation,[],[f245]) ).

fof(f2674,plain,
    ! [X0] :
      ( tptpcol_16_7738(X0)
      | ~ isa(X0,c_tptpcol_16_7738) ),
    inference(cnf_transformation,[],[f1619]) ).

fof(f3062,plain,
    ! [X0] :
      ( ~ tptpcol_16_7738(X0)
      | ~ tptp_8_968(X0,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) ),
    inference(cnf_transformation,[],[f2022]) ).

fof(f3622,plain,
    ! [X0] :
      ( ~ tptp_8_968(X0,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
      | ~ isa(X0,c_tptpcol_16_7738) ),
    inference(resolution,[],[f2674,f3062]) ).

fof(f4953,plain,
    ! [X0] :
      ( ~ isa(X0,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
      | isa(f_relationexistsallfn(X0,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),c_tptpcol_16_7738) ),
    inference(resolution,[],[f2086,f2266]) ).

fof(f4958,plain,
    ( ~ isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
    | ~ isa(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),c_tptpcol_16_7738) ),
    inference(resolution,[],[f2265,f3622]) ).

fof(f4960,plain,
    ~ isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
    inference(forward_subsumption_resolution,[],[f4958,f4953]) ).

fof(f4961,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f4960,f2155]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR038+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23  % Computer : n017.cluster.edu
% 0.09/0.23  % Model    : x86_64 x86_64
% 0.09/0.23  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.23  % Memory   : 8046.5625MB
% 0.09/0.23  % OS       : Linux 6.8.0-71-generic
% 0.09/0.23  % CPULimit : 300
% 0.09/0.23  % WCLimit  : 300
% 0.09/0.23  % DateTime : Mon Sep 28 22:09:36 UTC 2026
% 0.09/0.23  % CPUTime  : 
% 0.09/0.23  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.23/0.29  Running first-order model finding
% 0.23/0.29  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.74/0.51  % (4095341)Will run a generic schedule for satisfiability detection.
% 0.74/0.51  % (4095347)% WARNING: option uhcvi not known.
% 0.74/0.51  % (4095347)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=258819567:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.74/0.51  % (4095346)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=516244706_2999 on theBenchmark for (2999ds/0Mi)
% 0.74/0.51  % (4095349)dis+10_1_sil=32000:sp=arity:random_seed=1684517382:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.74/0.51  % (4095348)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2476117155:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.74/0.51  % (4095351)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3203100740:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.74/0.51  % (4095352)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4162874925:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.74/0.51  % (4095350)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3612903309:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.74/0.51  % TRYING [1]
% 0.74/0.51  % TRYING [2]
% 0.74/0.51  % TRYING [3]
% 0.74/0.51  % TRYING [4]
% 0.74/0.51  % (4095349)Instruction limit reached! 
% 0.74/0.51  % (4095349)------------------------------
% 0.74/0.51  % (4095349)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.51  % (4095349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.51  % (4095349)CaDiCaL version: 2.1.3
% 0.74/0.51  % (4095349)Termination reason: Instruction limit
% 0.74/0.51  % (4095349)Termination phase: Saturation
% 0.74/0.51  % (4095349)Time elapsed: 0.102 s
% 0.74/0.51  % (4095349)Peak memory usage: 15 MB
% 0.74/0.51  % (4095349)Instructions burned: 103 (million)
% 0.74/0.51  % (4095350) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4095341-4095350"...
% 0.74/0.51  % (4095350)...printing done.
% 0.74/0.51  % (4095350)Refutation found. Thanks to Tanya!
% 0.74/0.51  % SZS status Theorem for theBenchmark
% 0.74/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.74/0.51  % (4095350)------------------------------
% 0.74/0.51  % (4095350)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.74/0.51  % (4095350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.74/0.51  % (4095350)CaDiCaL version: 2.1.3
% 0.74/0.51  % (4095350)Termination reason: Refutation
% 0.74/0.51  % (4095350)Time elapsed: 0.093 s
% 0.74/0.51  % (4095350)Peak memory usage: 15 MB
% 0.74/0.51  % (4095350)Instructions burned: 90 (million)
% 0.74/0.51  % (4095341)Success in time 0.207 s
% 0.74/0.51  % Vampire exiting
%------------------------------------------------------------------------------