%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR057-10 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 09:42:24 AM UTC 2026
% Result : Unsatisfiable 5.14s 1.63s
% Output : Refutation 5.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 12
% Syntax : Number of formulae : 40 ( 40 unt; 0 def)
% Number of atoms : 40 ( 39 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 1 ( 1 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-4 aty)
% Number of variables : 22 ( 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : ifeq4(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f2,axiom,
! [X2,X0,X1] : ifeq3(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom_001) ).
fof(f3250,axiom,
ifeq4(mtvisible(c_worldgeographymt),true,geolevel_4(c_georegion_l4_x75_y75),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_1625) ).
fof(f3251,plain,
true = ifeq4(mtvisible(c_worldgeographymt),true,geolevel_4(c_georegion_l4_x75_y75),true),
inference(reorient_equations,[],[f3250]) ).
fof(f7972,axiom,
! [X0] : ifeq4(geolevel_4(X0),true,geographicalregion(X0),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_3986) ).
fof(f7973,plain,
! [X0] : true = ifeq4(geolevel_4(X0),true,geographicalregion(X0),true),
inference(reorient_equations,[],[f7972]) ).
fof(f9176,axiom,
genlmt(c_tptpgeo_member8_mt,c_tptpgeo_spindleheadmt) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_4591) ).
fof(f9177,plain,
true = genlmt(c_tptpgeo_member8_mt,c_tptpgeo_spindleheadmt),
inference(reorient_equations,[],[f9176]) ).
fof(f23380,axiom,
genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_11699) ).
fof(f23381,plain,
true = genlmt(c_tptpgeo_spindleheadmt,c_worldgeographymt),
inference(reorient_equations,[],[f23380]) ).
fof(f36006,axiom,
! [X0,X1] : ifeq4(geographicalsubregions(X0,X1),true,inregion(X1,X0),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_18015) ).
fof(f36007,plain,
! [X0,X1] : true = ifeq4(geographicalsubregions(X0,X1),true,inregion(X1,X0),true),
inference(reorient_equations,[],[f36006]) ).
fof(f87922,axiom,
! [X0] : ifeq4(geographicalregion(X0),true,geographicalsubregions(X0,X0),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_44145) ).
fof(f87923,plain,
! [X0] : true = ifeq4(geographicalregion(X0),true,geographicalsubregions(X0,X0),true),
inference(reorient_equations,[],[f87922]) ).
fof(f88048,axiom,
! [X0,X1] : ifeq4(genlmt(X0,X1),true,ifeq4(mtvisible(X0),true,mtvisible(X1),true),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_44208) ).
fof(f88049,plain,
! [X0,X1] : true = ifeq4(genlmt(X0,X1),true,ifeq4(mtvisible(X0),true,mtvisible(X1),true),true),
inference(reorient_equations,[],[f88048]) ).
fof(f88066,negated_conjecture,
mtvisible(c_tptpgeo_member8_mt) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query207) ).
fof(f88067,plain,
true = mtvisible(c_tptpgeo_member8_mt),
inference(reorient_equations,[],[f88066]) ).
fof(f88432,negated_conjecture,
! [X0] : ifeq3(inregion(X0,c_georegion_l4_x75_y75),true,a,b) = b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',query207_1) ).
fof(f88433,plain,
! [X0] : b = ifeq3(inregion(X0,c_georegion_l4_x75_y75),true,a,b),
inference(reorient_equations,[],[f88432]) ).
fof(f88434,negated_conjecture,
a != b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
fof(f95507,plain,
true = ifeq4(true,true,ifeq4(mtvisible(c_tptpgeo_member8_mt),true,mtvisible(c_tptpgeo_spindleheadmt),true),true),
inference(superposition,[],[f88049,f9177]) ).
fof(f95554,plain,
true = ifeq4(mtvisible(c_tptpgeo_member8_mt),true,mtvisible(c_tptpgeo_spindleheadmt),true),
inference(forward_demodulation,[],[f95507,f1]) ).
fof(f95615,plain,
true = ifeq4(true,true,mtvisible(c_tptpgeo_spindleheadmt),true),
inference(forward_demodulation,[],[f95554,f88067]) ).
fof(f95639,plain,
true = mtvisible(c_tptpgeo_spindleheadmt),
inference(forward_demodulation,[],[f95615,f1]) ).
fof(f95642,plain,
! [X0] : true = ifeq4(genlmt(c_tptpgeo_spindleheadmt,X0),true,ifeq4(true,true,mtvisible(X0),true),true),
inference(superposition,[],[f88049,f95639]) ).
fof(f95643,plain,
! [X0] : true = ifeq4(genlmt(c_tptpgeo_spindleheadmt,X0),true,mtvisible(X0),true),
inference(forward_demodulation,[],[f95642,f1]) ).
fof(f95688,plain,
true = ifeq4(true,true,mtvisible(c_worldgeographymt),true),
inference(superposition,[],[f95643,f23381]) ).
fof(f95695,plain,
true = mtvisible(c_worldgeographymt),
inference(forward_demodulation,[],[f95688,f1]) ).
fof(f95699,plain,
true = ifeq4(true,true,geolevel_4(c_georegion_l4_x75_y75),true),
inference(superposition,[],[f3251,f95695]) ).
fof(f95706,plain,
true = geolevel_4(c_georegion_l4_x75_y75),
inference(forward_demodulation,[],[f95699,f1]) ).
fof(f95711,plain,
true = ifeq4(true,true,geographicalregion(c_georegion_l4_x75_y75),true),
inference(superposition,[],[f7973,f95706]) ).
fof(f95712,plain,
true = geographicalregion(c_georegion_l4_x75_y75),
inference(forward_demodulation,[],[f95711,f1]) ).
fof(f95743,plain,
true = ifeq4(true,true,geographicalsubregions(c_georegion_l4_x75_y75,c_georegion_l4_x75_y75),true),
inference(superposition,[],[f87923,f95712]) ).
fof(f95744,plain,
true = geographicalsubregions(c_georegion_l4_x75_y75,c_georegion_l4_x75_y75),
inference(forward_demodulation,[],[f95743,f1]) ).
fof(f96845,plain,
true = ifeq4(true,true,inregion(c_georegion_l4_x75_y75,c_georegion_l4_x75_y75),true),
inference(superposition,[],[f36007,f95744]) ).
fof(f96850,plain,
true = inregion(c_georegion_l4_x75_y75,c_georegion_l4_x75_y75),
inference(forward_demodulation,[],[f96845,f1]) ).
fof(f97282,plain,
b = ifeq3(true,true,a,b),
inference(superposition,[],[f88433,f96850]) ).
fof(f97297,plain,
a = b,
inference(forward_demodulation,[],[f97282,f2]) ).
fof(f97298,plain,
$false,
inference(forward_subsumption_resolution,[],[f97297,f88434]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : CSR057-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.12 % Computer : n012.cluster.edu
% 0.08/0.12 % Model : x86_64 x86_64
% 0.08/0.12 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.12 % Memory : 8046.5625MB
% 0.08/0.12 % OS : Linux 6.8.0-71-generic
% 0.08/0.12 % CPULimit : 300
% 0.08/0.12 % WCLimit : 300
% 0.08/0.12 % DateTime : Mon Sep 28 22:19:04 UTC 2026
% 0.08/0.12 % CPUTime :
% 0.08/0.12 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.14 Running first-order theorem proving
% 0.08/0.14 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
% 5.14/1.63 % (3856983)Detected a unit-equality problem, will run specialized UEQ schedule.
% 5.14/1.63 % (3857169)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=2750651430:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2994 on theBenchmark for (2994ds/130792Mi)
% 5.14/1.63 % (3857170)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=363720136:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2994 on theBenchmark for (2994ds/130716Mi)
% 5.14/1.63 % (3857168)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=178726552:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/138329Mi)
% 5.14/1.63 % (3857173)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=3125827126:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2994 on theBenchmark for (2994ds/257Mi)
% 5.14/1.63 % (3857171)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=3169154331:i=136:bd=preordered:ins=2:av=off_2994 on theBenchmark for (2994ds/136Mi)
% 5.14/1.63 % (3857174)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=294193901:i=1187:sd=4:av=off:ss=axioms:sgt=32_2994 on theBenchmark for (2994ds/1187Mi)
% 5.14/1.63 % (3857172)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2594615733:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2994 on theBenchmark for (2994ds/181Mi)
% 5.14/1.63 % (3857171)Instruction limit reached!
% 5.14/1.63 % (3857171)------------------------------
% 5.14/1.63 % (3857171)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.14/1.63 % (3857171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.14/1.63 % (3857171)CaDiCaL version: 2.1.3
% 5.14/1.63 % (3857171)Termination reason: Instruction limit
% 5.14/1.63 % (3857171)Termination phase: Property scanning
% 5.14/1.63 % (3857171)Time elapsed: 0.054 s
% 5.14/1.63 % (3857171)Peak memory usage: 117 MB
% 5.14/1.63 % (3857171)Instructions burned: 136 (million)
% 5.14/1.63 % (3857172)Instruction limit reached!
% 5.14/1.63 % (3857172)------------------------------
% 5.14/1.63 % (3857172)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.14/1.63 % (3857172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.14/1.63 % (3857172)CaDiCaL version: 2.1.3
% 5.14/1.63 % (3857172)Termination reason: Instruction limit
% 5.14/1.63 % (3857172)Termination phase: Property scanning
% 5.14/1.63 % (3857172)Time elapsed: 0.051 s
% 5.14/1.63 % (3857172)Peak memory usage: 115 MB
% 5.14/1.63 % (3857172)Instructions burned: 185 (million)
% 5.14/1.63 % (3857173)Instruction limit reached!
% 5.14/1.63 % (3857173)------------------------------
% 5.14/1.63 % (3857173)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.14/1.63 % (3857173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.14/1.63 % (3857173)CaDiCaL version: 2.1.3
% 5.14/1.63 % (3857173)Termination reason: Instruction limit
% 5.14/1.63 % (3857173)Termination phase: Saturation
% 5.14/1.63 % (3857173)Time elapsed: 0.085 s
% 5.14/1.63 % (3857173)Peak memory usage: 121 MB
% 5.14/1.63 % (3857173)Instructions burned: 260 (million)
% 5.14/1.63 % (3857183)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1282399741:i=4948:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/4948Mi)
% 5.14/1.63 % (3857182)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=551778363:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2992 on theBenchmark for (2992ds/2051Mi)
% 5.14/1.63 % (3857184)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=1468551006:i=215:ep=RSTC_2992 on theBenchmark for (2992ds/215Mi)
% 5.14/1.63 % (3857184)Instruction limit reached!
% 5.14/1.63 % (3857184)------------------------------
% 5.14/1.63 % (3857184)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.14/1.63 % (3857184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.14/1.63 % (3857184)CaDiCaL version: 2.1.3
% 5.14/1.63 % (3857184)Termination reason: Instruction limit
% 5.14/1.63 % (3857184)Termination phase: Property scanning
% 5.14/1.63 % (3857184)Time elapsed: 0.073 s
% 5.14/1.63 % (3857184)Peak memory usage: 117 MB
% 5.14/1.63 % (3857184)Instructions burned: 218 (million)
% 5.14/1.63 % (3857174)First to succeed.
% 5.14/1.63 % (3857174)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3856983"
% 5.14/1.63 % (3857188)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=96612726:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2990 on theBenchmark for (2990ds/317Mi)
% 5.14/1.63 % (3857188)Instruction limit reached!
% 5.14/1.63 % (3857188)------------------------------
% 5.14/1.63 % (3857188)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.14/1.63 % (3857188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.14/1.63 % (3857188)CaDiCaL version: 2.1.3
% 5.14/1.63 % (3857188)Termination reason: Instruction limit
% 5.14/1.63 % (3857188)Termination phase: Property scanning
% 5.14/1.63 % (3857188)Time elapsed: 0.081 s
% 5.14/1.63 % (3857188)Peak memory usage: 115 MB
% 5.14/1.63 % (3857188)Instructions burned: 321 (million)
% 5.14/1.63 % (3857174)Refutation found. Thanks to Tanya!
% 5.14/1.63 % SZS status Unsatisfiable for theBenchmark
% 5.14/1.63 % SZS output start Proof for theBenchmark
% See solution above
% 5.14/1.63 % (3857174)------------------------------
% 5.14/1.63 % (3857174)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.14/1.63 % (3857174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.14/1.63 % (3857174)CaDiCaL version: 2.1.3
% 5.14/1.63 % (3857174)Termination reason: Refutation
% 5.14/1.63 % (3857174)Time elapsed: 0.327 s
% 5.14/1.63 % (3857174)Peak memory usage: 131 MB
% 5.14/1.63 % (3857174)Instructions burned: 964 (million)
% 5.14/1.63 % (3857174)------------------------------
% 5.14/1.63 % (3857174)------------------------------
% 5.14/1.63 % (3856983)Success in time 1.169 s
% 5.14/1.63 % Vampire exiting
%------------------------------------------------------------------------------