%------------------------------------------------------------------------------
% File : Vampire---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 THM
% Computer : n002.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 4.39s 1.45s
% Output : Refutation 5.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 37 ( 7 unt; 0 def)
% Number of atoms : 81 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 84 ( 40 ~; 31 |; 5 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-4 aty)
% Number of variables : 54 ( 52 !; 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/theBenchmark.p',ax1_64) ).
fof(f134,axiom,
isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',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/theBenchmark.p',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/theBenchmark.p',ax1_245) ).
fof(f673,axiom,
! [X0] :
( isa(X0,c_tptpcol_16_7738)
=> tptpcol_16_7738(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_673) ).
fof(f1090,axiom,
! [X0,X1] :
( isa(X0,X1)
=> collection(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_1090) ).
fof(f1094,axiom,
! [X0,X1,X2] :
( ( isa(X0,X1)
& genls(X1,X2) )
=> isa(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_1094) ).
fof(f1110,axiom,
! [X0] :
( collection(X0)
=> genls(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_1110) ).
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(f1973,plain,
! [X0,X1] :
( collection(X1)
| ~ isa(X0,X1) ),
inference(ennf_transformation,[],[f1090]) ).
fof(f1977,plain,
! [X0,X1,X2] :
( isa(X0,X2)
| ~ isa(X0,X1)
| ~ genls(X1,X2) ),
inference(ennf_transformation,[],[f1094]) ).
fof(f1978,plain,
! [X0,X1,X2] :
( isa(X0,X2)
| ~ isa(X0,X1)
| ~ genls(X1,X2) ),
inference(flattening,[],[f1977]) ).
fof(f1995,plain,
! [X0] :
( genls(X0,X0)
| ~ collection(X0) ),
inference(ennf_transformation,[],[f1110]) ).
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] :
( ~ isa(X0,c_tptpcol_16_7738)
| tptpcol_16_7738(X0) ),
inference(cnf_transformation,[],[f1619]) ).
fof(f3020,plain,
! [X0,X1] :
( collection(X1)
| ~ isa(X0,X1) ),
inference(cnf_transformation,[],[f1973]) ).
fof(f3024,plain,
! [X2,X0,X1] :
( isa(X0,X2)
| ~ isa(X0,X1)
| ~ genls(X1,X2) ),
inference(cnf_transformation,[],[f1978]) ).
fof(f3040,plain,
! [X0] :
( genls(X0,X0)
| ~ collection(X0) ),
inference(cnf_transformation,[],[f1995]) ).
fof(f3063,plain,
! [X0] :
( ~ tptpcol_16_7738(X0)
| ~ tptp_8_968(X0,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) ),
inference(cnf_transformation,[],[f2022]) ).
fof(f3569,plain,
! [X0,X1] :
( tptpcol_16_7738(X0)
| ~ genls(X1,c_tptpcol_16_7738)
| ~ isa(X0,X1) ),
inference(resolution,[],[f3024,f2674]) ).
fof(f3574,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,[],[f2086,f2266]) ).
fof(f3705,plain,
! [X0,X1] :
( ~ tptp_8_968(X1,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
| ~ isa(X1,X0)
| ~ genls(X0,c_tptpcol_16_7738) ),
inference(resolution,[],[f3569,f3063]) ).
fof(f3706,plain,
! [X0] :
( ~ isa(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),X0)
| ~ genls(X0,c_tptpcol_16_7738)
| ~ isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) ),
inference(resolution,[],[f3705,f2265]) ).
fof(f3707,plain,
! [X0] :
( ~ genls(X0,c_tptpcol_16_7738)
| ~ isa(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),X0) ),
inference(forward_subsumption_resolution,[],[f3706,f2155]) ).
fof(f3711,plain,
( ~ 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)
| ~ collection(c_tptpcol_16_7738) ),
inference(resolution,[],[f3707,f3040]) ).
fof(f3712,plain,
~ 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(forward_subsumption_resolution,[],[f3711,f3020]) ).
fof(f3762,plain,
~ isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
inference(resolution,[],[f3574,f3712]) ).
fof(f3764,plain,
$false,
inference(forward_subsumption_resolution,[],[f3762,f2155]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : CSR038+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.24/0.28 % Computer : n002.cluster.edu
% 0.24/0.28 % Model : x86_64 x86_64
% 0.24/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.24/0.28 % Memory : 8046.5625MB
% 0.24/0.28 % OS : Linux 6.8.0-71-generic
% 0.24/0.28 % CPULimit : 300
% 0.24/0.28 % WCLimit : 300
% 0.24/0.28 % DateTime : Mon Sep 28 22:16:52 UTC 2026
% 0.24/0.28 % CPUTime :
% 0.24/0.28 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.24/0.32 Running first-order theorem proving
% 0.24/0.32 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.39/1.45 % (838430)Detected formulas, will run a generic FOF schedule.
% 4.39/1.45 % (838441)dis-21_1_sil=8000:lcm=predicate:random_seed=1816638594: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)
% 4.39/1.45 % (838435)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=1797016040:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.39/1.45 % (838441)Instruction limit reached!
% 4.39/1.45 % (838441)------------------------------
% 4.39/1.45 % (838441)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.39/1.45 % (838441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.39/1.45 % (838441)CaDiCaL version: 2.1.3
% 4.39/1.45 % (838441)Termination reason: Instruction limit
% 4.39/1.45 % (838441)Termination phase: Saturation
% 4.39/1.45 % (838441)Time elapsed: 0.048 s
% 4.39/1.45 % (838441)Peak memory usage: 89 MB
% 4.39/1.45 % (838441)Instructions burned: 131 (million)
% 4.39/1.45 % (838437)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=2680417134:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.39/1.45 % (838436)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=2544250004:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.39/1.45 % (838438)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3757402074:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.39/1.45 % (838440)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1845043141:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.39/1.45 % (838438)Refutation not found, incomplete strategy
% 4.39/1.45 % (838438)------------------------------
% 4.39/1.45 % (838438)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.39/1.45 % (838438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.39/1.45 % (838438)CaDiCaL version: 2.1.3
% 4.39/1.45 % (838438)Termination reason: Refutation not found, incomplete strategy
% 4.39/1.45 % (838438)Time elapsed: 0.004 s
% 4.39/1.45 % (838438)Peak memory usage: 88 MB
% 4.39/1.45 % (838438)Instructions burned: 3 (million)
% 4.39/1.45 % (838439)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=844573268:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.39/1.45 % (838440)First to succeed.
% 4.39/1.45 % (838440)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-838430"
% 4.39/1.45 % (838439)Instruction limit reached!
% 4.39/1.45 % (838439)------------------------------
% 4.39/1.45 % (838439)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.39/1.45 % (838439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.39/1.45 % (838439)CaDiCaL version: 2.1.3
% 4.39/1.45 % (838439)Termination reason: Instruction limit
% 4.39/1.45 % (838439)Termination phase: Saturation
% 4.39/1.45 % (838439)Time elapsed: 0.090 s
% 4.39/1.45 % (838439)Peak memory usage: 88 MB
% 4.39/1.45 % (838439)Instructions burned: 120 (million)
% 4.39/1.45 % (838444)lrs+10_1_sil=8000:sp=occurrence:random_seed=3954183068:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.39/1.45 % (838444)Also succeeded, but the first one will report.
% 4.39/1.45 % (838438)------------------------------
% 4.39/1.45 % (838438)------------------------------
% 4.39/1.45 % (838440)Refutation found. Thanks to Tanya!
% 4.39/1.45 % SZS status Theorem for theBenchmark
% 4.39/1.45 % SZS output start Proof for theBenchmark
% See solution above
% 5.79/1.67 % (838440)------------------------------
% 5.79/1.67 % (838440)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.79/1.67 % (838440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.79/1.67 % (838440)CaDiCaL version: 2.1.3
% 5.79/1.67 % (838440)Termination reason: Refutation
% 5.79/1.67 % (838440)Time elapsed: 0.042 s
% 5.79/1.67 % (838440)Peak memory usage: 90 MB
% 5.79/1.67 % (838440)Instructions burned: 43 (million)
% 5.79/1.67 % (838440)------------------------------
% 5.79/1.67 % (838440)------------------------------
% 5.79/1.67 % (838430)Success in time 0.732 s
% 5.79/1.67 % Vampire exiting
%------------------------------------------------------------------------------