%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR038-10 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 : Unsatisfiable 9.43s 2.05s
% Output : Refutation 9.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 27 ( 27 unt; 0 def)
% Number of atoms : 27 ( 26 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 1 ( 1 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 9 con; 0-4 aty)
% Number of variables : 24 ( 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : ifeq4(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f3,axiom,
! [X2,X0,X1] : ifeq2(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom_002) ).
fof(f128,axiom,
! [X2,X3,X0,X1] : ifeq4(relationexistsall(X0,X1,X2),true,ifeq4(isa(X3,X2),true,isa(f_relationexistsallfn(X3,X0,X1,X2),X1),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_64) ).
fof(f129,plain,
! [X2,X3,X0,X1] : true = ifeq4(relationexistsall(X0,X1,X2),true,ifeq4(isa(X3,X2),true,isa(f_relationexistsallfn(X3,X0,X1,X2),X1),true),true),
inference(reorient_equations,[],[f128]) ).
fof(f268,axiom,
isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_134) ).
fof(f269,plain,
true = isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
inference(reorient_equations,[],[f268]) ).
fof(f484,axiom,
! [X0] : ifeq4(isa(X0,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),true,tptp_8_968(f_relationexistsallfn(X0,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),X0),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_244) ).
fof(f485,plain,
! [X0] : true = ifeq4(isa(X0,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),true,tptp_8_968(f_relationexistsallfn(X0,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),X0),true),
inference(reorient_equations,[],[f484]) ).
fof(f486,axiom,
relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_245) ).
fof(f487,plain,
true = relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
inference(reorient_equations,[],[f486]) ).
fof(f1334,axiom,
! [X0] : ifeq4(isa(X0,c_tptpcol_16_7738),true,tptpcol_16_7738(X0),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1_673) ).
fof(f1335,plain,
! [X0] : true = ifeq4(isa(X0,c_tptpcol_16_7738),true,tptpcol_16_7738(X0),true),
inference(reorient_equations,[],[f1334]) ).
fof(f2268,negated_conjecture,
! [X0] : ifeq2(tuple2(tptp_8_968(X0,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804),tptpcol_16_7738(X0)),tuple2(true,true),a,b) = b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query88_1) ).
fof(f2269,plain,
! [X0] : b = ifeq2(tuple2(tptp_8_968(X0,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804),tptpcol_16_7738(X0)),tuple2(true,true),a,b),
inference(reorient_equations,[],[f2268]) ).
fof(f2270,negated_conjecture,
a != b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
fof(f2444,plain,
true = ifeq4(true,true,tptp_8_968(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804),true),
inference(superposition,[],[f485,f269]) ).
fof(f2446,plain,
! [X0,X1] : true = ifeq4(relationexistsall(X0,X1,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),true,ifeq4(true,true,isa(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,X0,X1,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),X1),true),true),
inference(superposition,[],[f129,f269]) ).
fof(f2449,plain,
! [X0,X1] : true = ifeq4(relationexistsall(X0,X1,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),true,isa(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,X0,X1,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),X1),true),
inference(forward_demodulation,[],[f2446,f1]) ).
fof(f2451,plain,
true = tptp_8_968(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804),
inference(forward_demodulation,[],[f2444,f1]) ).
fof(f4684,plain,
true = ifeq4(true,true,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),true),
inference(superposition,[],[f2449,f487]) ).
fof(f4685,plain,
true = 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_demodulation,[],[f4684,f1]) ).
fof(f5650,plain,
true = ifeq4(true,true,tptpcol_16_7738(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))),true),
inference(superposition,[],[f1335,f4685]) ).
fof(f5660,plain,
true = 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_demodulation,[],[f5650,f1]) ).
fof(f5667,plain,
b = ifeq2(tuple2(tptp_8_968(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804),true),tuple2(true,true),a,b),
inference(superposition,[],[f2269,f5660]) ).
fof(f5668,plain,
b = ifeq2(tuple2(true,true),tuple2(true,true),a,b),
inference(forward_demodulation,[],[f5667,f2451]) ).
fof(f5671,plain,
a = b,
inference(forward_demodulation,[],[f5668,f3]) ).
fof(f5672,plain,
$false,
inference(forward_subsumption_resolution,[],[f5671,f2270]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR038-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n016.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 22:19:04 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.23 Running first-order theorem proving
% 0.07/0.23 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
% 8.31/1.95 % (4097903)Detected a unit-equality problem, will run specialized UEQ schedule.
% 8.31/1.95 % (4097913)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1315332910:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 8.31/1.95 % (4097914)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=2466153082:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 8.31/1.95 % (4097912)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=1744677835:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 8.31/1.95 % (4097911)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=3181245228:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 8.31/1.95 % (4097910)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=1255978553:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 8.31/1.95 % (4097909)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=4241025238:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 8.31/1.95 % (4097908)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=3184820223:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 8.31/1.95 % (4097913)Instruction limit reached!
% 8.31/1.95 % (4097913)------------------------------
% 8.31/1.95 % (4097913)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.31/1.95 % (4097913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.31/1.95 % (4097913)CaDiCaL version: 2.1.3
% 8.31/1.95 % (4097913)Termination reason: Instruction limit
% 8.31/1.95 % (4097913)Termination phase: Saturation
% 8.31/1.95 % (4097913)Time elapsed: 0.074 s
% 8.31/1.95 % (4097913)Peak memory usage: 93 MB
% 8.31/1.95 % (4097913)Instructions burned: 259 (million)
% 8.31/1.95 % (4097911)Instruction limit reached!
% 8.31/1.95 % (4097911)------------------------------
% 8.31/1.95 % (4097911)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.31/1.95 % (4097911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.31/1.95 % (4097911)CaDiCaL version: 2.1.3
% 8.31/1.95 % (4097911)Termination reason: Instruction limit
% 8.31/1.95 % (4097911)Termination phase: Saturation
% 8.31/1.95 % (4097911)Time elapsed: 0.066 s
% 8.31/1.95 % (4097911)Peak memory usage: 89 MB
% 8.31/1.95 % (4097911)Instructions burned: 138 (million)
% 8.31/1.95 % (4097912)Instruction limit reached!
% 8.31/1.95 % (4097912)------------------------------
% 8.31/1.95 % (4097912)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.31/1.95 % (4097912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.31/1.95 % (4097912)CaDiCaL version: 2.1.3
% 8.31/1.95 % (4097912)Termination reason: Instruction limit
% 8.31/1.95 % (4097912)Termination phase: Saturation
% 8.31/1.95 % (4097912)Time elapsed: 0.092 s
% 8.31/1.95 % (4097912)Peak memory usage: 92 MB
% 8.31/1.95 % (4097912)Instructions burned: 182 (million)
% 8.31/1.95 % (4097922)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=2021758559:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 8.31/1.95 % (4097923)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=767462552:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 8.31/1.95 % (4097924)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=2994710222:i=215:ep=RSTC_2997 on theBenchmark for (2997ds/215Mi)
% 8.31/1.95 % (4097924)Instruction limit reached!
% 8.31/1.95 % (4097924)------------------------------
% 8.31/1.95 % (4097924)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.31/1.95 % (4097924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.31/1.95 % (4097924)CaDiCaL version: 2.1.3
% 8.31/1.95 % (4097924)Termination reason: Instruction limit
% 8.31/1.95 % (4097924)Termination phase: Saturation
% 8.31/1.95 % (4097924)Time elapsed: 0.112 s
% 9.43/2.05 % (4097924)Peak memory usage: 95 MB
% 9.43/2.05 % (4097924)Instructions burned: 215 (million)
% 9.43/2.05 % (4097928)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=2351696933:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2993 on theBenchmark for (2993ds/317Mi)
% 9.43/2.05 % (4097914)Instruction limit reached!
% 9.43/2.05 % (4097914)------------------------------
% 9.43/2.05 % (4097914)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.43/2.05 % (4097914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/2.05 % (4097914)CaDiCaL version: 2.1.3
% 9.43/2.05 % (4097914)Termination reason: Instruction limit
% 9.43/2.05 % (4097914)Termination phase: Saturation
% 9.43/2.05 % (4097914)Time elapsed: 0.634 s
% 9.43/2.05 % (4097914)Peak memory usage: 106 MB
% 9.43/2.05 % (4097914)Instructions burned: 1189 (million)
% 9.43/2.05 % (4097928)Instruction limit reached!
% 9.43/2.05 % (4097928)------------------------------
% 9.43/2.05 % (4097928)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.43/2.05 % (4097928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/2.05 % (4097928)CaDiCaL version: 2.1.3
% 9.43/2.05 % (4097928)Termination reason: Instruction limit
% 9.43/2.05 % (4097928)Termination phase: Saturation
% 9.43/2.05 % (4097928)Time elapsed: 0.178 s
% 9.43/2.05 % (4097928)Peak memory usage: 97 MB
% 9.43/2.05 % (4097928)Instructions burned: 317 (million)
% 9.43/2.05 % (4097930)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:sp=arity:lcm=predicate:urr=on:s2agt=16:br=off:random_seed=1409060217:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2991 on theBenchmark for (2991ds/12125Mi)
% 9.43/2.05 % (4097909)First to succeed.
% 9.43/2.05 % (4097909)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4097903"
% 9.43/2.05 % (4097931)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=2873511660:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2990 on theBenchmark for (2990ds/2836Mi)
% 9.43/2.05 % (4097909)Refutation found. Thanks to Tanya!
% 9.43/2.05 % SZS status Unsatisfiable for theBenchmark
% 9.43/2.05 % SZS output start Proof for theBenchmark
% See solution above
% 9.43/2.05 % (4097909)------------------------------
% 9.43/2.05 % (4097909)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.43/2.05 % (4097909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/2.05 % (4097909)CaDiCaL version: 2.1.3
% 9.43/2.05 % (4097909)Termination reason: Refutation
% 9.43/2.05 % (4097909)Time elapsed: 0.927 s
% 9.43/2.05 % (4097909)Peak memory usage: 144 MB
% 9.43/2.05 % (4097909)Instructions burned: 2196 (million)
% 9.43/2.05 % (4097909)------------------------------
% 9.43/2.05 % (4097909)------------------------------
% 9.43/2.05 % (4097903)Success in time 1.28 s
% 9.43/2.05 % Vampire exiting
%------------------------------------------------------------------------------