%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR038+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 09:42:09 AM UTC 2026
% Result : Theorem 0.20s 1.31s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 24 ( 6 unt; 0 def)
% Number of atoms : 50 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 49 ( 23 ~; 17 |; 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 : 31 ( 29 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2,X3] :
( ( isa(X0,X1)
& relationexistsall(X2,X3,X1) )
=> isa(f_relationexistsallfn(X0,X2,X3,X1),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just1) ).
fof(f6,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/sandbox2/benchmark/theBenchmark.p',just6) ).
fof(f7,axiom,
relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just7) ).
fof(f8,axiom,
isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just8) ).
fof(f41,axiom,
! [X0] :
( isa(X0,c_tptpcol_16_7738)
=> tptpcol_16_7738(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just41) ).
fof(f73,conjecture,
? [X0] :
( mtvisible(c_knowledgefragmentd3mt)
=> ( tptp_8_968(X0,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
& tptpcol_16_7738(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query38) ).
fof(f74,negated_conjecture,
~ ? [X0] :
( mtvisible(c_knowledgefragmentd3mt)
=> ( tptp_8_968(X0,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
& tptpcol_16_7738(X0) ) ),
inference(negated_conjecture,[status(cth)],[f73]) ).
fof(f106,plain,
! [X0,X1,X2,X3] :
( isa(f_relationexistsallfn(X0,X2,X3,X1),X3)
| ~ isa(X0,X1)
| ~ relationexistsall(X2,X3,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f107,plain,
! [X0,X1,X2,X3] :
( isa(f_relationexistsallfn(X0,X2,X3,X1),X3)
| ~ isa(X0,X1)
| ~ relationexistsall(X2,X3,X1) ),
inference(flattening,[],[f106]) ).
fof(f108,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,[],[f6]) ).
fof(f131,plain,
! [X0] :
( tptpcol_16_7738(X0)
| ~ isa(X0,c_tptpcol_16_7738) ),
inference(ennf_transformation,[],[f41]) ).
fof(f146,plain,
! [X0] :
( ( ~ tptp_8_968(X0,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
| ~ tptpcol_16_7738(X0) )
& mtvisible(c_knowledgefragmentd3mt) ),
inference(ennf_transformation,[],[f74]) ).
fof(f147,plain,
! [X2,X3,X0,X1] :
( isa(f_relationexistsallfn(X0,X2,X3,X1),X3)
| ~ isa(X0,X1)
| ~ relationexistsall(X2,X3,X1) ),
inference(cnf_transformation,[],[f107]) ).
fof(f151,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,[],[f108]) ).
fof(f152,plain,
relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
inference(cnf_transformation,[],[f7]) ).
fof(f153,plain,
isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
inference(cnf_transformation,[],[f8]) ).
fof(f173,plain,
! [X0] :
( ~ isa(X0,c_tptpcol_16_7738)
| tptpcol_16_7738(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f189,plain,
! [X0] :
( ~ tptpcol_16_7738(X0)
| ~ tptp_8_968(X0,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) ),
inference(cnf_transformation,[],[f146]) ).
fof(f190,plain,
! [X2,X0,X1] :
( ~ relationexistsall(X2,c_tptpcol_16_7738,X1)
| ~ isa(X0,X1)
| tptpcol_16_7738(f_relationexistsallfn(X0,X2,c_tptpcol_16_7738,X1)) ),
inference(resolution,[],[f147,f173]) ).
fof(f191,plain,
! [X0] :
( tptpcol_16_7738(f_relationexistsallfn(X0,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)))
| ~ isa(X0,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) ),
inference(resolution,[],[f190,f152]) ).
fof(f193,plain,
! [X0] :
( ~ tptp_8_968(f_relationexistsallfn(X0,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
| ~ isa(X0,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) ),
inference(resolution,[],[f191,f189]) ).
fof(f194,plain,
( ~ isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
| ~ isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) ),
inference(resolution,[],[f193,f151]) ).
fof(f195,plain,
~ isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
inference(duplicate_literal_removal,[],[f194]) ).
fof(f196,plain,
$false,
inference(forward_subsumption_resolution,[],[f195,f153]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR038+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n018.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 22:16:25 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/1.31 % (3853175)Detected formulas, will run a generic FOF schedule.
% 0.20/1.31 % (3853238)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1970645142:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.20/1.31 % (3853243)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=703579628:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.20/1.31 % (3853242)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2433890680:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.20/1.31 % (3853239)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2333222310:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.20/1.31 % (3853244)dis-21_1_sil=8000:lcm=predicate:random_seed=3333257067:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 0.20/1.31 % (3853240)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=218441216:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.20/1.31 % (3853241)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4238842076:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.20/1.31 % (3853241)Refutation not found, incomplete strategy
% 0.20/1.31 % (3853241)------------------------------
% 0.20/1.31 % (3853241)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.31 % (3853241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.31 % (3853241)CaDiCaL version: 2.1.3
% 0.20/1.31 % (3853241)Termination reason: Refutation not found, incomplete strategy
% 0.20/1.31 % (3853241)Time elapsed: 0.001 s
% 0.20/1.31 % (3853241)Peak memory usage: 87 MB
% 0.20/1.31 % (3853243)First to succeed.
% 0.20/1.31 % (3853244)Also succeeded, but the first one will report.
% 0.20/1.31 % (3853243)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3853175"
% 0.20/1.31 % (3853242)Instruction limit reached!
% 0.20/1.31 % (3853242)------------------------------
% 0.20/1.31 % (3853242)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.31 % (3853242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.31 % (3853242)CaDiCaL version: 2.1.3
% 0.20/1.31 % (3853242)Termination reason: Instruction limit
% 0.20/1.31 % (3853242)Termination phase: Saturation
% 0.20/1.31 % (3853242)Time elapsed: 0.047 s
% 0.20/1.31 % (3853242)Peak memory usage: 87 MB
% 0.20/1.31 % (3853242)Instructions burned: 122 (million)
% 0.20/1.31 % (3853252)lrs+10_1_sil=8000:sp=occurrence:random_seed=3844757332:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 0.20/1.31 % (3853252)Also succeeded, but the first one will report.
% 0.20/1.31 % (3853241)------------------------------
% 0.20/1.31 % (3853241)------------------------------
% 0.20/1.31 % (3853243)Refutation found. Thanks to Tanya!
% 0.20/1.31 % SZS status Theorem for theBenchmark
% 0.20/1.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/1.31 % (3853243)------------------------------
% 0.20/1.31 % (3853243)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.31 % (3853243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.31 % (3853243)CaDiCaL version: 2.1.3
% 0.20/1.31 % (3853243)Termination reason: Refutation
% 0.20/1.31 % (3853243)Time elapsed: 0.003 s
% 0.20/1.31 % (3853243)Peak memory usage: 88 MB
% 0.20/1.31 % (3853243)Instructions burned: 3 (million)
% 0.20/1.31 % (3853243)------------------------------
% 0.20/1.31 % (3853243)------------------------------
% 0.20/1.31 % (3853175)Success in time 0.435 s
% 0.20/1.31 % Vampire exiting
%------------------------------------------------------------------------------