%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR038+3 : 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 : n026.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 3.72s 1.44s
% Output : Refutation 3.72s
% 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(f1867,axiom,
isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2_1867) ).
fof(f2321,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',ax2_2321) ).
fof(f2322,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',ax2_2322) ).
fof(f3919,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',ax2_3919) ).
fof(f7785,axiom,
! [X0] :
( isa(X0,c_tptpcol_16_7738)
=> tptpcol_16_7738(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2_7785) ).
fof(f8006,conjecture,
? [X0] :
( mtvisible(c_knowledgefragmentd3mt)
=> ( tptp_8_968(X0,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
& tptpcol_16_7738(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query138) ).
fof(f8007,negated_conjecture,
~ ? [X0] :
( mtvisible(c_knowledgefragmentd3mt)
=> ( tptp_8_968(X0,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
& tptpcol_16_7738(X0) ) ),
inference(negated_conjecture,[status(cth)],[f8006]) ).
fof(f8035,plain,
! [X0] :
( ( ~ tptp_8_968(X0,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
| ~ tptpcol_16_7738(X0) )
& mtvisible(c_knowledgefragmentd3mt) ),
inference(ennf_transformation,[],[f8007]) ).
fof(f8039,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,[],[f2321]) ).
fof(f8042,plain,
! [X0] :
( tptpcol_16_7738(X0)
| ~ isa(X0,c_tptpcol_16_7738) ),
inference(ennf_transformation,[],[f7785]) ).
fof(f8060,plain,
! [X0,X1,X2,X3] :
( isa(f_relationexistsallfn(X0,X2,X3,X1),X3)
| ~ isa(X0,X1)
| ~ relationexistsall(X2,X3,X1) ),
inference(ennf_transformation,[],[f3919]) ).
fof(f8061,plain,
! [X0,X1,X2,X3] :
( isa(f_relationexistsallfn(X0,X2,X3,X1),X3)
| ~ isa(X0,X1)
| ~ relationexistsall(X2,X3,X1) ),
inference(flattening,[],[f8060]) ).
fof(f8073,plain,
! [X0] :
( ~ tptp_8_968(X0,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
| ~ tptpcol_16_7738(X0) ),
inference(cnf_transformation,[],[f8035]) ).
fof(f8076,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,[],[f8039]) ).
fof(f8081,plain,
isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
inference(cnf_transformation,[],[f1867]) ).
fof(f8085,plain,
! [X0] :
( ~ isa(X0,c_tptpcol_16_7738)
| tptpcol_16_7738(X0) ),
inference(cnf_transformation,[],[f8042]) ).
fof(f8090,plain,
relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
inference(cnf_transformation,[],[f2322]) ).
fof(f8106,plain,
! [X2,X3,X0,X1] :
( isa(f_relationexistsallfn(X0,X2,X3,X1),X3)
| ~ isa(X0,X1)
| ~ relationexistsall(X2,X3,X1) ),
inference(cnf_transformation,[],[f8061]) ).
fof(f8132,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,[],[f8106,f8085]) ).
fof(f8144,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,[],[f8076,f8073]) ).
fof(f8146,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,[],[f8144,f8081]) ).
fof(f8150,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,[],[f8132,f8146]) ).
fof(f8151,plain,
~ isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
inference(forward_subsumption_resolution,[],[f8150,f8090]) ).
fof(f8152,plain,
$false,
inference(forward_subsumption_resolution,[],[f8151,f8081]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR038+3 : 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 : n026.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 22:16:57 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
% 0.08/0.23 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
% 3.72/1.44 % (148186)Detected formulas, will run a generic FOF schedule.
% 3.72/1.44 % (148191)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=3297398917:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 3.72/1.44 % (148194)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1917729238:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 3.72/1.44 % (148193)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=908256250:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 3.72/1.44 % (148195)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=445459447:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 3.72/1.44 % (148196)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1781457231:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 3.72/1.44 % (148192)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=2379298584:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 3.72/1.44 % (148197)dis-21_1_sil=8000:lcm=predicate:random_seed=986509375:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 3.72/1.44 % (148194)Refutation not found, incomplete strategy
% 3.72/1.44 % (148194)------------------------------
% 3.72/1.44 % (148194)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.72/1.44 % (148194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.72/1.44 % (148194)CaDiCaL version: 2.1.3
% 3.72/1.44 % (148194)Termination reason: Refutation not found, incomplete strategy
% 3.72/1.44 % (148194)Time elapsed: 0.016 s
% 3.72/1.44 % (148194)Peak memory usage: 93 MB
% 3.72/1.44 % (148194)Instructions burned: 24 (million)
% 3.72/1.44 % (148195)First to succeed.
% 3.72/1.44 % (148195)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-148186"
% 3.72/1.44 % (148197)Instruction limit reached!
% 3.72/1.44 % (148197)------------------------------
% 3.72/1.44 % (148197)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.72/1.44 % (148197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.72/1.44 % (148197)CaDiCaL version: 2.1.3
% 3.72/1.44 % (148197)Termination reason: Instruction limit
% 3.72/1.44 % (148197)Termination phase: Saturation
% 3.72/1.44 % (148197)Time elapsed: 0.071 s
% 3.72/1.44 % (148197)Peak memory usage: 94 MB
% 3.72/1.44 % (148197)Instructions burned: 131 (million)
% 3.72/1.44 % (148196)Instruction limit reached!
% 3.72/1.44 % (148196)------------------------------
% 3.72/1.44 % (148196)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.72/1.44 % (148196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.72/1.44 % (148196)CaDiCaL version: 2.1.3
% 3.72/1.44 % (148196)Termination reason: Instruction limit
% 3.72/1.44 % (148196)Termination phase: Property scanning
% 3.72/1.44 % (148196)Time elapsed: 0.074 s
% 3.72/1.44 % (148196)Peak memory usage: 92 MB
% 3.72/1.44 % (148196)Instructions burned: 140 (million)
% 3.72/1.44 % (148205)lrs+10_1_sil=8000:sp=occurrence:random_seed=1884232997:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 3.72/1.44 % (148206)lrs+10_1_sil=32000:urr=on:br=off:random_seed=254557567:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 3.72/1.44 % (148205)Also succeeded, but the first one will report.
% 3.72/1.44 % (148206)Refutation not found, incomplete strategy
% 3.72/1.44 % (148206)------------------------------
% 3.72/1.44 % (148206)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.72/1.44 % (148206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.72/1.44 % (148206)CaDiCaL version: 2.1.3
% 3.72/1.44 % (148206)Termination reason: Refutation not found, incomplete strategy
% 3.72/1.44 % (148206)Time elapsed: 0.031 s
% 3.72/1.44 % (148206)Peak memory usage: 95 MB
% 3.72/1.44 % (148206)Instructions burned: 58 (million)
% 3.72/1.44 % (148195)Refutation found. Thanks to Tanya!
% 3.72/1.44 % SZS status Theorem for theBenchmark
% 3.72/1.44 % SZS output start Proof for theBenchmark
% See solution above
% 3.72/1.44 % (148195)------------------------------
% 3.72/1.44 % (148195)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.72/1.44 % (148195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.72/1.44 % (148195)CaDiCaL version: 2.1.3
% 3.72/1.44 % (148195)Termination reason: Refutation
% 3.72/1.44 % (148195)Time elapsed: 0.019 s
% 3.72/1.44 % (148195)Peak memory usage: 94 MB
% 3.72/1.44 % (148195)Instructions burned: 28 (million)
% 3.72/1.44 % (148195)------------------------------
% 3.72/1.44 % (148195)------------------------------
% 3.72/1.44 % (148186)Success in time 0.555 s
% 3.72/1.44 % Vampire exiting
%------------------------------------------------------------------------------