%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR038+4 : 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 : n008.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 09:42:10 AM UTC 2026
% Result : Theorem 5.99s 1.87s
% Output : Refutation 5.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 24 ( 7 unt; 0 def)
% Number of atoms : 49 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 48 ( 23 ~; 16 |; 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 : 29 ( 27 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4303,axiom,
isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_4303) ).
fof(f4485,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',ax3_4485) ).
fof(f14429,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',ax3_14429) ).
fof(f14430,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',ax3_14430) ).
fof(f36134,axiom,
! [X0] :
( isa(X0,c_tptpcol_16_7738)
=> tptpcol_16_7738(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_36134) ).
fof(f44217,conjecture,
? [X0] :
( mtvisible(c_knowledgefragmentd3mt)
=> ( tptp_8_968(X0,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
& tptpcol_16_7738(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query188) ).
fof(f44218,negated_conjecture,
~ ? [X0] :
( mtvisible(c_knowledgefragmentd3mt)
=> ( tptp_8_968(X0,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
& tptpcol_16_7738(X0) ) ),
inference(negated_conjecture,[status(cth)],[f44217]) ).
fof(f44225,plain,
! [X0] :
( ( ~ tptp_8_968(X0,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
| ~ tptpcol_16_7738(X0) )
& mtvisible(c_knowledgefragmentd3mt) ),
inference(ennf_transformation,[],[f44218]) ).
fof(f44229,plain,
! [X0] :
( tptpcol_16_7738(X0)
| ~ isa(X0,c_tptpcol_16_7738) ),
inference(ennf_transformation,[],[f36134]) ).
fof(f44238,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,[],[f14429]) ).
fof(f44243,plain,
! [X0,X1,X2,X3] :
( isa(f_relationexistsallfn(X0,X2,X3,X1),X3)
| ~ isa(X0,X1)
| ~ relationexistsall(X2,X3,X1) ),
inference(ennf_transformation,[],[f4485]) ).
fof(f44244,plain,
! [X0,X1,X2,X3] :
( isa(f_relationexistsallfn(X0,X2,X3,X1),X3)
| ~ isa(X0,X1)
| ~ relationexistsall(X2,X3,X1) ),
inference(flattening,[],[f44243]) ).
fof(f44246,plain,
! [X0] :
( ~ tptp_8_968(X0,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
| ~ tptpcol_16_7738(X0) ),
inference(cnf_transformation,[],[f44225]) ).
fof(f44252,plain,
isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
inference(cnf_transformation,[],[f4303]) ).
fof(f44254,plain,
! [X0] :
( ~ isa(X0,c_tptpcol_16_7738)
| tptpcol_16_7738(X0) ),
inference(cnf_transformation,[],[f44229]) ).
fof(f44266,plain,
relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
inference(cnf_transformation,[],[f14430]) ).
fof(f44267,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,[],[f44238]) ).
fof(f44277,plain,
! [X2,X3,X0,X1] :
( isa(f_relationexistsallfn(X0,X2,X3,X1),X3)
| ~ isa(X0,X1)
| ~ relationexistsall(X2,X3,X1) ),
inference(cnf_transformation,[],[f44244]) ).
fof(f44348,plain,
! [X2,X0,X1] :
( tptpcol_16_7738(f_relationexistsallfn(X0,X2,c_tptpcol_16_7738,X1))
| ~ relationexistsall(X2,c_tptpcol_16_7738,X1)
| ~ isa(X0,X1) ),
inference(resolution,[],[f44277,f44254]) ).
fof(f44351,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,[],[f44267,f44246]) ).
fof(f44353,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,[],[f44351,f44252]) ).
fof(f44365,plain,
( ~ relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
| ~ isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) ),
inference(resolution,[],[f44348,f44353]) ).
fof(f44366,plain,
~ isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
inference(forward_subsumption_resolution,[],[f44365,f44266]) ).
fof(f44367,plain,
$false,
inference(forward_subsumption_resolution,[],[f44366,f44252]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR038+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n008.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 22:15:09 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 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
% 5.99/1.87 % (2715851)Detected formulas, will run a generic FOF schedule.
% 5.99/1.87 % (2715992)dis-21_1_sil=8000:lcm=predicate:random_seed=2617097561:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2995 on theBenchmark for (2995ds/129Mi)
% 5.99/1.87 % (2715992)Instruction limit reached!
% 5.99/1.87 % (2715992)------------------------------
% 5.99/1.87 % (2715992)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.99/1.87 % (2715992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.99/1.87 % (2715992)CaDiCaL version: 2.1.3
% 5.99/1.87 % (2715992)Termination reason: Instruction limit
% 5.99/1.87 % (2715992)Termination phase: SInE selection
% 5.99/1.87 % (2715992)Time elapsed: 0.047 s
% 5.99/1.87 % (2715992)Peak memory usage: 111 MB
% 5.99/1.87 % (2715992)Instructions burned: 129 (million)
% 5.99/1.87 % (2715991)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=804630007:s2a=on:i=139:gtg=position_2995 on theBenchmark for (2995ds/139Mi)
% 5.99/1.87 % (2715990)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3650081029:i=119:av=off:ss=axioms_2995 on theBenchmark for (2995ds/119Mi)
% 5.99/1.87 % (2715986)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=687698890:i=141193_2995 on theBenchmark for (2995ds/141193Mi)
% 5.99/1.87 % (2715989)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2650279408:i=109:sd=1:ins=1:gsp=on:ss=axioms_2995 on theBenchmark for (2995ds/109Mi)
% 5.99/1.87 % (2715988)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=3214324459:i=141695:sd=1:nm=32:gsp=on:ss=included_2995 on theBenchmark for (2995ds/141695Mi)
% 5.99/1.87 % (2715987)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=3498014371:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2995 on theBenchmark for (2995ds/134677Mi)
% 5.99/1.87 % (2715989)Instruction limit reached!
% 5.99/1.87 % (2715989)------------------------------
% 5.99/1.87 % (2715989)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.99/1.87 % (2715989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.99/1.87 % (2715989)CaDiCaL version: 2.1.3
% 5.99/1.87 % (2715989)Termination reason: Instruction limit
% 5.99/1.87 % (2715989)Termination phase: Saturation
% 5.99/1.87 % (2715989)Time elapsed: 0.123 s
% 5.99/1.87 % (2715989)Peak memory usage: 116 MB
% 5.99/1.87 % (2715989)Instructions burned: 110 (million)
% 5.99/1.87 % (2715991)Instruction limit reached!
% 5.99/1.87 % (2715991)------------------------------
% 5.99/1.87 % (2715991)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.99/1.87 % (2715991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.99/1.87 % (2715991)CaDiCaL version: 2.1.3
% 5.99/1.87 % (2715991)Termination reason: Instruction limit
% 5.99/1.87 % (2715991)Termination phase: Property scanning
% 5.99/1.87 % (2715991)Time elapsed: 0.124 s
% 5.99/1.87 % (2715991)Peak memory usage: 110 MB
% 5.99/1.87 % (2715991)Instructions burned: 140 (million)
% 5.99/1.87 % (2715990)Instruction limit reached!
% 5.99/1.87 % (2715990)------------------------------
% 5.99/1.87 % (2715990)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.99/1.87 % (2715990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.99/1.87 % (2715990)CaDiCaL version: 2.1.3
% 5.99/1.87 % (2715990)Termination reason: Instruction limit
% 5.99/1.87 % (2715990)Termination phase: Saturation
% 5.99/1.87 % (2715990)Time elapsed: 0.136 s
% 5.99/1.87 % (2715990)Peak memory usage: 116 MB
% 5.99/1.87 % (2715990)Instructions burned: 120 (million)
% 5.99/1.87 % (2716008)lrs+10_1_sil=8000:sp=occurrence:random_seed=660756032:i=285:sd=3:ss=axioms:sgt=8_2993 on theBenchmark for (2993ds/285Mi)
% 5.99/1.87 % (2716008)First to succeed.
% 5.99/1.87 % (2716008)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2715851"
% 5.99/1.87 % (2716024)lrs+1011_1_sil=32000:sp=occurrence:random_seed=19352000:i=325:sd=1:ss=axioms:sgt=32_2992 on theBenchmark for (2992ds/325Mi)
% 5.99/1.87 % (2716023)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1519103891:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2992 on theBenchmark for (2992ds/157Mi)
% 5.99/1.87 % (2716025)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1378863579:s2a=on:i=248:s2at=1.23:gtg=position_2992 on theBenchmark for (2992ds/248Mi)
% 5.99/1.87 % (2716008)Refutation found. Thanks to Tanya!
% 5.99/1.87 % SZS status Theorem for theBenchmark
% 5.99/1.87 % SZS output start Proof for theBenchmark
% See solution above
% 5.99/1.87 % (2716008)------------------------------
% 5.99/1.87 % (2716008)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.99/1.87 % (2716008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.99/1.87 % (2716008)CaDiCaL version: 2.1.3
% 5.99/1.87 % (2716008)Termination reason: Refutation
% 5.99/1.87 % (2716008)Time elapsed: 0.088 s
% 5.99/1.87 % (2716008)Peak memory usage: 119 MB
% 5.99/1.87 % (2716008)Instructions burned: 119 (million)
% 5.99/1.87 % (2716008)------------------------------
% 5.99/1.87 % (2716008)------------------------------
% 5.99/1.87 % (2715851)Success in time 1.196 s
% 5.99/1.87 % Vampire exiting
%------------------------------------------------------------------------------