%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR059-10 : 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 : n005.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 09:42:26 AM UTC 2026
% Result : Unsatisfiable 4.23s 1.58s
% Output : Refutation 4.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 26 ( 26 unt; 0 def)
% Number of atoms : 26 ( 25 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 : 12 ( 12 usr; 7 con; 0-4 aty)
% Number of variables : 14 ( 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : ifeq4(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f2,axiom,
! [X2,X0,X1] : ifeq3(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom_001) ).
fof(f978,axiom,
ifeq4(mtvisible(c_tptpgeo_member5_mt),true,borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_489) ).
fof(f979,plain,
true = ifeq4(mtvisible(c_tptpgeo_member5_mt),true,borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47),true),
inference(reorient_equations,[],[f978]) ).
fof(f4758,axiom,
genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member5_mt) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_2388) ).
fof(f4759,plain,
true = genlmt(c_tptpgeo_spindlecollectormt,c_tptpgeo_member5_mt),
inference(reorient_equations,[],[f4758]) ).
fof(f15144,axiom,
! [X0,X1] : ifeq4(borderson(X0,X1),true,borderson(X1,X0),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_7642) ).
fof(f15145,plain,
! [X0,X1] : true = ifeq4(borderson(X0,X1),true,borderson(X1,X0),true),
inference(reorient_equations,[],[f15144]) ).
fof(f15848,axiom,
! [X0,X1] : ifeq4(genlmt(X0,X1),true,ifeq4(mtvisible(X0),true,mtvisible(X1),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_7997) ).
fof(f15849,plain,
! [X0,X1] : true = ifeq4(genlmt(X0,X1),true,ifeq4(mtvisible(X0),true,mtvisible(X1),true),true),
inference(reorient_equations,[],[f15848]) ).
fof(f15866,negated_conjecture,
mtvisible(c_tptpgeo_spindlecollectormt) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query159) ).
fof(f15867,plain,
true = mtvisible(c_tptpgeo_spindlecollectormt),
inference(reorient_equations,[],[f15866]) ).
fof(f16016,negated_conjecture,
ifeq3(borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47),true,a,b) = b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query159_1) ).
fof(f16017,plain,
b = ifeq3(borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47),true,a,b),
inference(reorient_equations,[],[f16016]) ).
fof(f16018,negated_conjecture,
a != b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
fof(f16034,plain,
true = ifeq4(true,true,ifeq4(mtvisible(c_tptpgeo_spindlecollectormt),true,mtvisible(c_tptpgeo_member5_mt),true),true),
inference(superposition,[],[f15849,f4759]) ).
fof(f16059,plain,
true = ifeq4(mtvisible(c_tptpgeo_spindlecollectormt),true,mtvisible(c_tptpgeo_member5_mt),true),
inference(forward_demodulation,[],[f16034,f1]) ).
fof(f16079,plain,
true = ifeq4(true,true,mtvisible(c_tptpgeo_member5_mt),true),
inference(forward_demodulation,[],[f16059,f15867]) ).
fof(f16092,plain,
true = mtvisible(c_tptpgeo_member5_mt),
inference(forward_demodulation,[],[f16079,f1]) ).
fof(f16109,plain,
true = ifeq4(true,true,borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47),true),
inference(superposition,[],[f979,f16092]) ).
fof(f16113,plain,
true = borderson(c_georegion_l4_x56_y47,c_georegion_l4_x57_y47),
inference(forward_demodulation,[],[f16109,f1]) ).
fof(f16318,plain,
true = ifeq4(true,true,borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47),true),
inference(superposition,[],[f15145,f16113]) ).
fof(f16323,plain,
true = borderson(c_georegion_l4_x57_y47,c_georegion_l4_x56_y47),
inference(forward_demodulation,[],[f16318,f1]) ).
fof(f19021,plain,
b = ifeq3(true,true,a,b),
inference(superposition,[],[f16017,f16323]) ).
fof(f19030,plain,
a = b,
inference(forward_demodulation,[],[f19021,f2]) ).
fof(f19031,plain,
$false,
inference(forward_subsumption_resolution,[],[f19030,f16018]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR059-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 % Computer : n005.cluster.edu
% 0.09/0.21 % Model : x86_64 x86_64
% 0.09/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.21 % Memory : 8046.5625MB
% 0.09/0.21 % OS : Linux 6.8.0-71-generic
% 0.09/0.21 % CPULimit : 300
% 0.09/0.21 % WCLimit : 300
% 0.09/0.21 % DateTime : Mon Sep 28 22:21:02 UTC 2026
% 0.09/0.21 % CPUTime :
% 0.09/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.25 Running first-order theorem proving
% 0.09/0.25 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
% 4.23/1.58 % (1249974)Detected a unit-equality problem, will run specialized UEQ schedule.
% 4.23/1.58 % (1249981)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=3563691055:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2997 on theBenchmark for (2997ds/130716Mi)
% 4.23/1.58 % (1249983)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=4253841580:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2997 on theBenchmark for (2997ds/181Mi)
% 4.23/1.58 % (1249985)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=3218353303:i=1187:sd=4:av=off:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/1187Mi)
% 4.23/1.58 % (1249980)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=3568081802:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2997 on theBenchmark for (2997ds/130792Mi)
% 4.23/1.58 % (1249979)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=904022395:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2997 on theBenchmark for (2997ds/138329Mi)
% 4.23/1.58 % (1249984)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1611823777:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2997 on theBenchmark for (2997ds/257Mi)
% 4.23/1.58 % (1249982)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1693166376:i=136:bd=preordered:ins=2:av=off_2997 on theBenchmark for (2997ds/136Mi)
% 4.23/1.58 % (1249983)Instruction limit reached!
% 4.23/1.58 % (1249983)------------------------------
% 4.23/1.58 % (1249983)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.23/1.58 % (1249983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.23/1.58 % (1249983)CaDiCaL version: 2.1.3
% 4.23/1.58 % (1249983)Termination reason: Instruction limit
% 4.23/1.58 % (1249983)Termination phase: Twee Goal Transformation
% 4.23/1.58 % (1249983)Time elapsed: 0.084 s
% 4.23/1.58 % (1249983)Peak memory usage: 94 MB
% 4.23/1.58 % (1249983)Instructions burned: 183 (million)
% 4.23/1.58 % (1249982)Instruction limit reached!
% 4.23/1.58 % (1249982)------------------------------
% 4.23/1.58 % (1249982)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.23/1.58 % (1249982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.23/1.58 % (1249982)CaDiCaL version: 2.1.3
% 4.23/1.58 % (1249982)Termination reason: Instruction limit
% 4.23/1.58 % (1249982)Termination phase: Saturation
% 4.23/1.58 % (1249982)Time elapsed: 0.057 s
% 4.23/1.58 % (1249982)Peak memory usage: 95 MB
% 4.23/1.58 % (1249982)Instructions burned: 138 (million)
% 4.23/1.58 % (1249985)First to succeed.
% 4.23/1.58 % (1249985)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1249974"
% 4.23/1.58 % (1249984)Instruction limit reached!
% 4.23/1.58 % (1249984)------------------------------
% 4.23/1.58 % (1249984)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.23/1.58 % (1249984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.23/1.58 % (1249984)CaDiCaL version: 2.1.3
% 4.23/1.58 % (1249984)Termination reason: Instruction limit
% 4.23/1.58 % (1249984)Termination phase: Saturation
% 4.23/1.58 % (1249984)Time elapsed: 0.151 s
% 4.23/1.58 % (1249984)Peak memory usage: 100 MB
% 4.23/1.58 % (1249984)Instructions burned: 258 (million)
% 4.23/1.58 % (1249994)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=532273979:i=4948:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/4948Mi)
% 4.23/1.58 % (1249993)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=829487544:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2995 on theBenchmark for (2995ds/2051Mi)
% 4.23/1.58 % (1249995)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=3949679098:i=215:ep=RSTC_2994 on theBenchmark for (2994ds/215Mi)
% 4.23/1.58 % (1249985)Refutation found. Thanks to Tanya!
% 4.23/1.58 % SZS status Unsatisfiable for theBenchmark
% 4.23/1.58 % SZS output start Proof for theBenchmark
% See solution above
% 4.23/1.58 % (1249985)------------------------------
% 4.23/1.58 % (1249985)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.23/1.58 % (1249985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.23/1.58 % (1249985)CaDiCaL version: 2.1.3
% 4.23/1.58 % (1249985)Termination reason: Refutation
% 4.23/1.58 % (1249985)Time elapsed: 0.088 s
% 4.23/1.58 % (1249985)Peak memory usage: 96 MB
% 4.23/1.58 % (1249985)Instructions burned: 155 (million)
% 4.23/1.58 % (1249985)------------------------------
% 4.23/1.58 % (1249985)------------------------------
% 4.23/1.58 % (1249974)Success in time 0.693 s
% 4.23/1.58 % Vampire exiting
%------------------------------------------------------------------------------