%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO305+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n008.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 09:54:23 AM UTC 2026
% Result : Theorem 0.75s 0.60s
% Output : Refutation 0.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 7
% Syntax : Number of formulae : 40 ( 23 unt; 0 def)
% Number of atoms : 160 ( 40 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 225 ( 105 ~; 88 |; 31 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 10 con; 0-2 aty)
% Number of variables : 59 ( 53 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
ron(vd1302,vd1297),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(conjunct2(349), 0)') ).
fof(f2,negated_conjecture,
~ ron(vd1302,vd1297),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f5,axiom,
( vd1302 = vd1303
& rR(vd1289,vd1287,vd1302)
& rpoint(vd1303)
& rR(vd1288,vd1287,vd1299) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(pred(conjunct2(348), 4), and(holds(conjunct2(348), 1304, 0), and(pred(conjunct2(348), 1), holds(conjunct1(348), 1301, 0))))') ).
fof(f7,axiom,
ron(vd1289,vd1297),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s2(plural(347)), 0)') ).
fof(f8,axiom,
ron(vd1287,vd1297),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s1(plural(347)), 0)') ).
fof(f9,axiom,
rline(vd1297),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(347, 0)') ).
fof(f13,axiom,
( vf(vd1287,vd1288) = vf(vd1287,vd1289)
& vd1288 != vd1289
& vd1287 != vd1289
& vd1287 != vd1288
& ? [X0] :
( vd1289 = X0
& rpoint(X0) )
& ? [X1] :
( vd1288 = X1
& rpoint(X1) )
& ? [X2] :
( vd1287 = X2
& rpoint(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(holds(conjunct2(345), 1294, 0), and(pred(conjunct1(345), 9), and(pred(conjunct1(345), 8), and(pred(conjunct1(345), 7), and(qe(s3(plural(345))), and(qe(s2(plural(345))), qe(s1(plural(345)))))))))') ).
fof(f14,axiom,
! [X0,X1,X2,X3,X4] :
( ( X3 = X4
& ron(X1,X3)
& ron(X0,X3)
& rR(X1,X0,X2)
& rline(X4)
& ? [X5] :
( X2 = X5
& rpoint(X5) )
& ? [X6] :
( X1 = X6
& rpoint(X6) )
& ? [X7] :
( X0 = X7
& rpoint(X7) ) )
=> ron(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(83), 0), imp(cond(axiom(83), 0)))') ).
fof(f127,plain,
~ ron(vd1302,vd1297),
inference(flattening,[],[f2]) ).
fof(f132,plain,
! [X0,X1,X2,X3,X4] :
( ron(X2,X3)
| X3 != X4
| ~ ron(X1,X3)
| ~ ron(X0,X3)
| ~ rR(X1,X0,X2)
| ~ rline(X4)
| ! [X5] :
( X2 != X5
| ~ rpoint(X5) )
| ! [X6] :
( X1 != X6
| ~ rpoint(X6) )
| ! [X7] :
( X0 != X7
| ~ rpoint(X7) ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f133,plain,
! [X0,X1,X2,X3,X4] :
( ron(X2,X3)
| X3 != X4
| ~ ron(X1,X3)
| ~ ron(X0,X3)
| ~ rR(X1,X0,X2)
| ~ rline(X4)
| ! [X5] :
( X2 != X5
| ~ rpoint(X5) )
| ! [X6] :
( X1 != X6
| ~ rpoint(X6) )
| ! [X7] :
( X0 != X7
| ~ rpoint(X7) ) ),
inference(flattening,[],[f132]) ).
fof(f344,plain,
( vf(vd1287,vd1288) = vf(vd1287,vd1289)
& vd1288 != vd1289
& vd1287 != vd1289
& vd1287 != vd1288
& vd1289 = sK1
& rpoint(sK1)
& vd1288 = sK2
& rpoint(sK2)
& vd1287 = sK3
& rpoint(sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3)],[f13]) ).
fof(f420,plain,
~ ron(vd1302,vd1297),
inference(cnf_transformation,[],[f127]) ).
fof(f424,plain,
rpoint(vd1303),
inference(cnf_transformation,[],[f5]) ).
fof(f425,plain,
rR(vd1289,vd1287,vd1302),
inference(cnf_transformation,[],[f5]) ).
fof(f426,plain,
vd1302 = vd1303,
inference(cnf_transformation,[],[f5]) ).
fof(f428,plain,
ron(vd1289,vd1297),
inference(cnf_transformation,[],[f7]) ).
fof(f429,plain,
ron(vd1287,vd1297),
inference(cnf_transformation,[],[f8]) ).
fof(f430,plain,
rline(vd1297),
inference(cnf_transformation,[],[f9]) ).
fof(f434,plain,
rpoint(sK3),
inference(cnf_transformation,[],[f344]) ).
fof(f435,plain,
vd1287 = sK3,
inference(cnf_transformation,[],[f344]) ).
fof(f438,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f344]) ).
fof(f439,plain,
vd1289 = sK1,
inference(cnf_transformation,[],[f344]) ).
fof(f444,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ron(X2,X3)
| X3 != X4
| ~ ron(X1,X3)
| ~ ron(X0,X3)
| ~ rR(X1,X0,X2)
| ~ rline(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(cnf_transformation,[],[f133]) ).
fof(f689,plain,
~ ron(vd1303,vd1297),
inference(definition_unfolding,[],[f420,f426]) ).
fof(f691,plain,
rR(sK1,sK3,vd1303),
inference(definition_unfolding,[],[f425,f439,f435,f426]) ).
fof(f693,plain,
ron(sK1,vd1297),
inference(definition_unfolding,[],[f428,f439]) ).
fof(f694,plain,
ron(sK3,vd1297),
inference(definition_unfolding,[],[f429,f435]) ).
fof(f710,plain,
! [X2,X0,X1,X6,X7,X4,X5] :
( ron(X2,X4)
| ~ ron(X1,X4)
| ~ ron(X0,X4)
| ~ rR(X1,X0,X2)
| ~ rline(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f444]) ).
fof(f711,plain,
! [X0,X1,X6,X7,X4,X5] :
( ron(X5,X4)
| ~ ron(X1,X4)
| ~ ron(X0,X4)
| ~ rR(X1,X0,X5)
| ~ rline(X4)
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f710]) ).
fof(f712,plain,
! [X0,X6,X7,X4,X5] :
( ron(X5,X4)
| ~ ron(X6,X4)
| ~ ron(X0,X4)
| ~ rR(X6,X0,X5)
| ~ rline(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f711]) ).
fof(f713,plain,
! [X6,X7,X4,X5] :
( ron(X5,X4)
| ~ ron(X6,X4)
| ~ ron(X7,X4)
| ~ rR(X6,X7,X5)
| ~ rline(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f712]) ).
fof(f2934,plain,
! [X0,X1] :
( ~ rR(X0,X1,vd1303)
| ~ ron(X1,vd1297)
| ~ ron(X0,vd1297)
| ~ rline(vd1297)
| ~ rpoint(vd1303)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(resolution,[],[f713,f689]) ).
fof(f2946,plain,
( ~ ron(sK1,vd1297)
| ~ ron(sK3,vd1297)
| ~ rline(vd1297)
| ~ rpoint(vd1303)
| ~ rpoint(sK1)
| ~ rpoint(sK3) ),
inference(resolution,[],[f2934,f691]) ).
fof(f2985,plain,
( ~ ron(sK3,vd1297)
| ~ rline(vd1297)
| ~ rpoint(vd1303)
| ~ rpoint(sK1)
| ~ rpoint(sK3) ),
inference(resolution,[],[f2946,f693]) ).
fof(f3093,plain,
( ~ rline(vd1297)
| ~ rpoint(vd1303)
| ~ rpoint(sK1)
| ~ rpoint(sK3) ),
inference(resolution,[],[f2985,f694]) ).
fof(f3107,plain,
( ~ rpoint(vd1303)
| ~ rpoint(sK1)
| ~ rpoint(sK3) ),
inference(resolution,[],[f3093,f430]) ).
fof(f3118,plain,
( ~ rpoint(sK1)
| ~ rpoint(sK3) ),
inference(resolution,[],[f3107,f424]) ).
fof(f3123,plain,
~ rpoint(sK3),
inference(resolution,[],[f3118,f438]) ).
fof(f3128,plain,
$false,
inference(resolution,[],[f3123,f434]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO305+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n008.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 08:03:24 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 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
% 0.75/0.60 % (906042)Will run a generic schedule for satisfiability detection.
% 0.75/0.60 % (906052)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=303258383:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.75/0.60 % (906048)% WARNING: option uhcvi not known.
% 0.75/0.60 % (906047)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3060323874_2999 on theBenchmark for (2999ds/0Mi)
% 0.75/0.60 % (906048)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=154307385:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.75/0.60 % (906049)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=291484864:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.75/0.60 % (906050)dis+10_1_sil=32000:sp=arity:random_seed=4287343405:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.75/0.60 % (906051)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1574925373:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.75/0.60 % (906053)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3282603051:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.75/0.60 % (906052)Instruction limit reached!
% 0.75/0.60 % (906052)------------------------------
% 0.75/0.60 % (906052)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.60 % (906052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.60 % (906052)CaDiCaL version: 2.1.3
% 0.75/0.60 % (906052)Termination reason: Instruction limit
% 0.75/0.60 % (906052)Termination phase: Saturation
% 0.75/0.60 % (906052)Time elapsed: 0.033 s
% 0.75/0.60 % (906052)Peak memory usage: 13 MB
% 0.75/0.60 % (906052)Instructions burned: 132 (million)
% 0.75/0.60 % (906061)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3557536566:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.75/0.60 % Detected minimum model sizes of [3]
% 0.75/0.60 % Detected maximum model sizes of [max]
% 0.75/0.60 % (906047)Cannot represent all propositional literals internally
% 0.75/0.60 % (906047)Refutation not found, incomplete strategy
% 0.75/0.60 % (906047)------------------------------
% 0.75/0.60 % (906047)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.60 % (906047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.60 % (906047)CaDiCaL version: 2.1.3
% 0.75/0.60 % (906047)Termination reason: Refutation not found, incomplete strategy
% 0.75/0.60 % (906047)Time elapsed: 0.039 s
% 0.75/0.60 % (906047)Peak memory usage: 12 MB
% 0.75/0.60 % (906047)Instructions burned: 81 (million)
% 0.75/0.60 % (906047)------------------------------
% 0.75/0.60 % (906047)------------------------------
% 0.75/0.60 % Detected minimum model sizes of [3]
% 0.75/0.60 % Detected maximum model sizes of [max]
% 0.75/0.60 % (906061)Cannot represent all propositional literals internally
% 0.75/0.60 % (906061)Refutation not found, incomplete strategy
% 0.75/0.60 % (906061)------------------------------
% 0.75/0.60 % (906061)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.60 % (906061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.60 % (906061)CaDiCaL version: 2.1.3
% 0.75/0.60 % (906061)Termination reason: Refutation not found, incomplete strategy
% 0.75/0.60 % (906061)Time elapsed: 0.015 s
% 0.75/0.60 % (906061)Peak memory usage: 12 MB
% 0.75/0.60 % (906061)Instructions burned: 59 (million)
% 0.75/0.60 % (906061)------------------------------
% 0.75/0.60 % (906061)------------------------------
% 0.75/0.60 % (906050)Instruction limit reached!
% 0.75/0.60 % (906050)------------------------------
% 0.75/0.60 % (906050)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.60 % (906050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.60 % (906050)CaDiCaL version: 2.1.3
% 0.75/0.60 % (906050)Termination reason: Instruction limit
% 0.75/0.60 % (906050)Termination phase: Saturation
% 0.75/0.60 % (906050)Time elapsed: 0.058 s
% 0.75/0.60 % (906050)Peak memory usage: 13 MB
% 0.75/0.60 % (906050)Instructions burned: 107 (million)
% 0.75/0.60 % (906051)Instruction limit reached!
% 0.75/0.60 % (906051)------------------------------
% 0.75/0.60 % (906051)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.60 % (906051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.60 % (906051)CaDiCaL version: 2.1.3
% 0.75/0.60 % (906051)Termination reason: Instruction limit
% 0.75/0.60 % (906051)Termination phase: Saturation
% 0.75/0.60 % (906051)Time elapsed: 0.059 s
% 0.75/0.60 % (906051)Peak memory usage: 13 MB
% 0.75/0.60 % (906051)Instructions burned: 117 (million)
% 0.75/0.60 % (906063)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1808349132:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.75/0.60 % (906064)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1199696283:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.75/0.60 % (906065)ott-21_1_sil=16000:fs=off:random_seed=3057607883:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.75/0.60 % (906067)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3246374046:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 0.75/0.60 % (906053)Instruction limit reached!
% 0.75/0.60 % (906053)------------------------------
% 0.75/0.60 % (906053)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.60 % (906053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.60 % (906053)CaDiCaL version: 2.1.3
% 0.75/0.60 % (906053)Termination reason: Instruction limit
% 0.75/0.60 % (906053)Termination phase: Saturation
% 0.75/0.60 % (906053)Time elapsed: 0.093 s
% 0.75/0.60 % (906053)Peak memory usage: 15 MB
% 0.75/0.60 % (906053)Instructions burned: 160 (million)
% 0.75/0.60 % (906071)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=867798213:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 0.75/0.60 % (906065) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-906042-906065"...
% 0.75/0.60 % (906065)...printing done.
% 0.75/0.60 % (906065)Refutation found. Thanks to Tanya!
% 0.75/0.60 % SZS status Theorem for theBenchmark
% 0.75/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 0.75/0.60 % (906065)------------------------------
% 0.75/0.60 % (906065)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.60 % (906065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.60 % (906065)CaDiCaL version: 2.1.3
% 0.75/0.60 % (906065)Termination reason: Refutation
% 0.75/0.60 % (906065)Time elapsed: 0.036 s
% 0.75/0.60 % (906065)Peak memory usage: 13 MB
% 0.75/0.60 % (906065)Instructions burned: 69 (million)
% 0.75/0.60 % (906042)Success in time 0.17 s
% 0.75/0.60 % Vampire exiting
%------------------------------------------------------------------------------