%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CSR027-10 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n017.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 09:44:23 AM UTC 2026
% Result : Unsatisfiable 0.34s 0.45s
% Output : Refutation 0.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 12
% Syntax : Number of formulae : 41 ( 41 unt; 0 def)
% Number of atoms : 41 ( 40 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 : 22 ( 22 usr; 11 con; 0-4 aty)
% Number of variables : 28 ( 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : ifeq3(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f2,axiom,
! [X2,X0,X1] : ifeq2(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom_001) ).
fof(f4,axiom,
! [X2,X3,X0,X1] : ifeq3(relationallexists(X0,X1,X2),true,ifeq3(isa(X3,X1),true,isa(f_relationallexistsfn(X3,X0,X1,X2),X2),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just1) ).
fof(f5,plain,
! [X2,X3,X0,X1] : true = ifeq3(relationallexists(X0,X1,X2),true,ifeq3(isa(X3,X1),true,isa(f_relationallexistsfn(X3,X0,X1,X2),X2),true),true),
inference(reorient_equations,[],[f4]) ).
fof(f20,axiom,
genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just9) ).
fof(f21,plain,
true = genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt),
inference(reorient_equations,[],[f20]) ).
fof(f26,axiom,
! [X0] : ifeq3(mtvisible(c_tptp_member2610_mt),true,ifeq3(isa(X0,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),true,tptp_8_875(X0,f_relationallexistsfn(X0,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just12) ).
fof(f27,plain,
! [X0] : true = ifeq3(mtvisible(c_tptp_member2610_mt),true,ifeq3(isa(X0,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),true,tptp_8_875(X0,f_relationallexistsfn(X0,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)),true),true),
inference(reorient_equations,[],[f26]) ).
fof(f28,axiom,
ifeq3(mtvisible(c_tptp_member2610_mt),true,relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just13) ).
fof(f29,plain,
true = ifeq3(mtvisible(c_tptp_member2610_mt),true,relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),true),
inference(reorient_equations,[],[f28]) ).
fof(f30,axiom,
isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just14) ).
fof(f31,plain,
true = isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),
inference(reorient_equations,[],[f30]) ).
fof(f68,axiom,
! [X0] : ifeq3(isa(X0,c_tptpcol_16_31868),true,tptpcol_16_31868(X0),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just34) ).
fof(f69,plain,
! [X0] : true = ifeq3(isa(X0,c_tptpcol_16_31868),true,tptpcol_16_31868(X0),true),
inference(reorient_equations,[],[f68]) ).
fof(f126,axiom,
! [X0,X1] : ifeq3(genlmt(X0,X1),true,ifeq3(mtvisible(X0),true,mtvisible(X1),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',just63) ).
fof(f127,plain,
! [X0,X1] : true = ifeq3(genlmt(X0,X1),true,ifeq3(mtvisible(X0),true,mtvisible(X1),true),true),
inference(reorient_equations,[],[f126]) ).
fof(f160,negated_conjecture,
mtvisible(c_tptp_spindlecollectormt) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query27) ).
fof(f161,plain,
true = mtvisible(c_tptp_spindlecollectormt),
inference(reorient_equations,[],[f160]) ).
fof(f164,negated_conjecture,
! [X0] : ifeq2(tuple2(tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X0),tptpcol_16_31868(X0)),tuple2(true,true),a,b) = b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query27_1) ).
fof(f165,plain,
! [X0] : b = ifeq2(tuple2(tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X0),tptpcol_16_31868(X0)),tuple2(true,true),a,b),
inference(reorient_equations,[],[f164]) ).
fof(f166,negated_conjecture,
a != b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
fof(f383,plain,
true = ifeq3(true,true,ifeq3(mtvisible(c_tptp_spindlecollectormt),true,mtvisible(c_tptp_member2610_mt),true),true),
inference(superposition,[],[f127,f21]) ).
fof(f403,plain,
true = ifeq3(mtvisible(c_tptp_spindlecollectormt),true,mtvisible(c_tptp_member2610_mt),true),
inference(forward_demodulation,[],[f383,f1]) ).
fof(f417,plain,
true = ifeq3(true,true,mtvisible(c_tptp_member2610_mt),true),
inference(forward_demodulation,[],[f403,f161]) ).
fof(f423,plain,
true = mtvisible(c_tptp_member2610_mt),
inference(forward_demodulation,[],[f417,f1]) ).
fof(f428,plain,
true = ifeq3(true,true,relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),true),
inference(superposition,[],[f29,f423]) ).
fof(f432,plain,
true = relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),
inference(forward_demodulation,[],[f428,f1]) ).
fof(f2196,plain,
! [X0] : true = ifeq3(true,true,ifeq3(isa(X0,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),true,isa(f_relationallexistsfn(X0,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),c_tptpcol_16_31868),true),true),
inference(superposition,[],[f5,f432]) ).
fof(f2201,plain,
! [X0] : true = ifeq3(isa(X0,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),true,isa(f_relationallexistsfn(X0,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),c_tptpcol_16_31868),true),
inference(forward_demodulation,[],[f2196,f1]) ).
fof(f2202,plain,
true = ifeq3(true,true,isa(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),c_tptpcol_16_31868),true),
inference(superposition,[],[f2201,f31]) ).
fof(f2204,plain,
true = isa(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),c_tptpcol_16_31868),
inference(forward_demodulation,[],[f2202,f1]) ).
fof(f2210,plain,
true = ifeq3(true,true,tptpcol_16_31868(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)),true),
inference(superposition,[],[f69,f2204]) ).
fof(f2223,plain,
true = tptpcol_16_31868(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)),
inference(forward_demodulation,[],[f2210,f1]) ).
fof(f2227,plain,
b = ifeq2(tuple2(tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)),true),tuple2(true,true),a,b),
inference(superposition,[],[f165,f2223]) ).
fof(f2236,plain,
! [X0] : true = ifeq3(true,true,ifeq3(isa(X0,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),true,tptp_8_875(X0,f_relationallexistsfn(X0,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)),true),true),
inference(forward_demodulation,[],[f27,f423]) ).
fof(f2237,plain,
! [X0] : true = ifeq3(isa(X0,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),true,tptp_8_875(X0,f_relationallexistsfn(X0,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)),true),
inference(forward_demodulation,[],[f2236,f1]) ).
fof(f2238,plain,
true = ifeq3(true,true,tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)),true),
inference(superposition,[],[f2237,f31]) ).
fof(f2239,plain,
true = tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)),
inference(forward_demodulation,[],[f2238,f1]) ).
fof(f2240,plain,
b = ifeq2(tuple2(true,true),tuple2(true,true),a,b),
inference(superposition,[],[f2227,f2239]) ).
fof(f2249,plain,
a = b,
inference(forward_demodulation,[],[f2240,f2]) ).
fof(f2251,plain,
$false,
inference(forward_subsumption_resolution,[],[f2249,f166]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR027-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.29 % Computer : n017.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 22:02:36 UTC 2026
% 0.29/0.30 % CPUTime :
% 0.29/0.30 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.29/0.35 Running first-order model finding
% 0.29/0.35 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/0.45 % (4088648)Will run a generic schedule for satisfiability detection.
% 0.34/0.45 % (4088655)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2318193508:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.34/0.45 % (4088654)% WARNING: option uhcvi not known.
% 0.34/0.45 % (4088658)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3125479140:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.34/0.45 % (4088653)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1756332710_2999 on theBenchmark for (2999ds/0Mi)
% 0.34/0.45 % (4088659)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1353547779:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.34/0.45 % (4088656)dis+10_1_sil=32000:sp=arity:random_seed=1967638601:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.34/0.45 % (4088654)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2388961824:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.34/0.45 % (4088657)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3256219076:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.34/0.45 % TRYING [1]
% 0.34/0.45 % TRYING [2]
% 0.34/0.45 % (4088657) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4088648-4088657"...
% 0.34/0.45 % (4088655) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4088648-4088655"...
% 0.34/0.45 % (4088657)...printing done.
% 0.34/0.45 % (4088655)...printing done.
% 0.34/0.45 % (4088655)Refutation found. Thanks to Tanya!
% 0.34/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.34/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.34/0.46 % (4088655)------------------------------
% 0.34/0.46 % (4088655)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.34/0.46 % (4088655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.34/0.46 % (4088655)CaDiCaL version: 2.1.3
% 0.34/0.46 % (4088655)Termination reason: Refutation
% 0.34/0.46 % (4088655)Time elapsed: 0.049 s
% 0.34/0.46 % (4088655)Peak memory usage: 12 MB
% 0.34/0.46 % (4088655)Instructions burned: 100 (million)
% 0.34/0.46 % (4088648)Success in time 0.089 s
% 0.34/0.46 % Vampire exiting
%------------------------------------------------------------------------------