%------------------------------------------------------------------------------
% File : Vampire-SAT---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 SAT
% Computer : n001.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 0.34s 0.40s
% Output : Refutation 0.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 29 ( 8 unt; 0 def)
% Number of atoms : 58 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 52 ( 23 ~; 20 |; 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 : 35 ( 33 !; 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] :
( ~ relationexistsall(X2,X3,X1)
| ~ isa(X0,X1)
| isa(f_relationexistsallfn(X0,X2,X3,X1),X3) ),
inference(cnf_transformation,[],[f107]) ).
fof(f151,plain,
! [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) ),
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(f188,plain,
! [X0] :
( ~ tptpcol_16_7738(X0)
| ~ tptp_8_968(X0,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) ),
inference(cnf_transformation,[],[f146]) ).
fof(f190,plain,
! [X2,X3,X0,X1] :
( ~ relationexistsall(X2,X3,X1)
| isa(X0,X1)
| ~ isa(f_relationexistsallfn(X0,X2,X3,X1),X3) ),
inference(consistent_polarity_flipping,[],[f147]) ).
fof(f192,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(consistent_polarity_flipping,[],[f151]) ).
fof(f193,plain,
~ isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
inference(consistent_polarity_flipping,[],[f153]) ).
fof(f212,plain,
! [X0] :
( isa(X0,c_tptpcol_16_7738)
| tptpcol_16_7738(X0) ),
inference(consistent_polarity_flipping,[],[f173]) ).
fof(f227,plain,
! [X0] :
( tptp_8_968(X0,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
| ~ tptpcol_16_7738(X0) ),
inference(consistent_polarity_flipping,[],[f188]) ).
fof(f239,plain,
! [X0] :
( ~ isa(f_relationexistsallfn(X0,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),c_tptpcol_16_7738)
| isa(X0,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) ),
inference(resolution,[],[f190,f152]) ).
fof(f240,plain,
( isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
| ~ tptpcol_16_7738(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))) ),
inference(resolution,[],[f192,f227]) ).
fof(f241,plain,
~ tptpcol_16_7738(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))),
inference(forward_subsumption_resolution,[],[f240,f193]) ).
fof(f255,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,[],[f239,f212]) ).
fof(f257,plain,
isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
inference(resolution,[],[f255,f241]) ).
fof(f259,plain,
$false,
inference(forward_subsumption_resolution,[],[f257,f193]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR038+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.29 % Computer : n001.cluster.edu
% 0.12/0.29 % Model : x86_64 x86_64
% 0.12/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.29 % Memory : 8046.5625MB
% 0.12/0.29 % OS : Linux 6.8.0-71-generic
% 0.12/0.29 % CPULimit : 300
% 0.12/0.29 % WCLimit : 300
% 0.12/0.29 % DateTime : Mon Sep 28 22:20:04 UTC 2026
% 0.12/0.29 % CPUTime :
% 0.12/0.29 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.31/0.34 Running first-order model finding
% 0.31/0.34 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.34/0.40 % (809119)Will run a generic schedule for satisfiability detection.
% 0.34/0.40 % (809125)% WARNING: option uhcvi not known.
% 0.34/0.40 % (809125)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=285796097:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.34/0.40 % (809125) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-809119-809125"...
% 0.34/0.40 % (809125)...printing done.
% 0.34/0.40 % (809125)Refutation found. Thanks to Tanya!
% 0.34/0.40 % SZS status Theorem for theBenchmark
% 0.34/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.34/0.40 % (809125)------------------------------
% 0.34/0.40 % (809125)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.34/0.40 % (809125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.34/0.40 % (809125)CaDiCaL version: 2.1.3
% 0.34/0.40 % (809125)Termination reason: Refutation
% 0.34/0.40 % (809125)Time elapsed: 0.003 s
% 0.34/0.40 % (809125)Peak memory usage: 12 MB
% 0.34/0.40 % (809125)Instructions burned: 3 (million)
% 0.34/0.40 % (809119)Success in time 0.048 s
% 0.34/0.40 % Vampire exiting
%------------------------------------------------------------------------------