%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO048-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n014.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 09:53:24 AM UTC 2026
% Result : Unsatisfiable 0.11s 0.46s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 12
% Syntax : Number of formulae : 47 ( 23 unt; 2 def)
% Number of atoms : 80 ( 10 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 61 ( 28 ~; 31 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-5 aty)
% Number of variables : 56 ( 0 sgn 56 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X2,X0,X1] :
( ~ equidistant(X0,X1,X2,X2)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',identity_for_equidistance) ).
fof(f4,axiom,
! [X2,X3,X0,X1] : between(X0,X1,extension(X0,X1,X2,X3)),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',segment_construction1) ).
fof(f5,axiom,
! [X2,X3,X0,X1] : equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',segment_construction2) ).
fof(f7,axiom,
! [X0,X1] :
( ~ between(X0,X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',identity_for_betweeness) ).
fof(f8,axiom,
! [X2,X3,X0,X1,X4] :
( ~ between(X0,X1,X2)
| ~ between(X3,X4,X2)
| between(X1,inner_pasch(X0,X1,X2,X4,X3),X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',inner_pasch1) ).
fof(f9,axiom,
! [X2,X3,X0,X1,X4] :
( ~ between(X0,X1,X2)
| ~ between(X3,X4,X2)
| between(X4,inner_pasch(X0,X1,X2,X4,X3),X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',inner_pasch2) ).
fof(f19,axiom,
between(u,v,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_u_and_w) ).
fof(f20,axiom,
between(u1,v1,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v1_between_u1_and_w) ).
fof(f21,axiom,
between(u,x,u1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_between_u_and_u1) ).
fof(f23,negated_conjecture,
~ between(v,inner_pasch(v1,inner_pasch(u,x,u1,v1,w),u,v,w),v1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_conclusion2) ).
fof(f24,plain,
! [X2,X3,X0,X1] : ~ between(X0,X1,extension(X0,X1,X2,X3)),
inference(consistent_polarity_flipping,[],[f4]) ).
fof(f26,plain,
! [X0,X1] :
( between(X0,X1,X0)
| X0 = X1 ),
inference(consistent_polarity_flipping,[],[f7]) ).
fof(f27,plain,
! [X2,X3,X0,X1,X4] :
( ~ between(X1,inner_pasch(X0,X1,X2,X4,X3),X3)
| between(X3,X4,X2)
| between(X0,X1,X2) ),
inference(consistent_polarity_flipping,[],[f8]) ).
fof(f28,plain,
! [X2,X3,X0,X1,X4] :
( ~ between(X4,inner_pasch(X0,X1,X2,X4,X3),X0)
| between(X3,X4,X2)
| between(X0,X1,X2) ),
inference(consistent_polarity_flipping,[],[f9]) ).
fof(f38,plain,
~ between(u,v,w),
inference(consistent_polarity_flipping,[],[f19]) ).
fof(f39,plain,
~ between(u1,v1,w),
inference(consistent_polarity_flipping,[],[f20]) ).
fof(f40,plain,
~ between(u,x,u1),
inference(consistent_polarity_flipping,[],[f21]) ).
fof(f42,plain,
between(v,inner_pasch(v1,inner_pasch(u,x,u1,v1,w),u,v,w),v1),
inference(consistent_polarity_flipping,[],[f23]) ).
fof(f44,plain,
! [X2,X0,X1] : extension(X1,X0,X2,X2) = X0,
inference(resolution,[],[f5,f3]) ).
fof(f47,plain,
! [X2,X3,X0,X1] :
( between(X0,X1,X2)
| between(X3,X0,X2)
| inner_pasch(X3,X0,X2,X1,X0) = X0 ),
inference(resolution,[],[f27,f26]) ).
fof(f48,plain,
( between(w,v,u)
| between(v1,inner_pasch(u,x,u1,v1,w),u) ),
inference(resolution,[],[f28,f42]) ).
fof(f49,plain,
! [X2,X3,X0,X1] :
( between(X0,X1,X2)
| between(X1,X3,X2)
| inner_pasch(X1,X3,X2,X1,X0) = X1 ),
inference(resolution,[],[f28,f26]) ).
fof(f51,definition,
( spl0_1
<=> between(v1,inner_pasch(u,x,u1,v1,w),u) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f53,plain,
( between(v1,inner_pasch(u,x,u1,v1,w),u)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f55,definition,
( spl0_2
<=> between(w,v,u) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f58,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f48,f55,f51]) ).
fof(f68,plain,
! [X0,X1] : ~ between(X1,X0,X0),
inference(superposition,[],[f24,f44]) ).
fof(f93,plain,
! [X0] :
( between(v1,X0,w)
| v1 = inner_pasch(u1,v1,w,X0,v1) ),
inference(resolution,[],[f47,f39]) ).
fof(f118,plain,
! [X2,X0,X1] :
( between(X2,X0,X1)
| inner_pasch(X0,X1,X1,X0,X2) = X0 ),
inference(resolution,[],[f68,f49]) ).
fof(f190,plain,
v1 = inner_pasch(u1,v1,w,w,v1),
inference(resolution,[],[f93,f68]) ).
fof(f197,plain,
( ~ between(w,v1,u1)
| between(v1,w,w)
| between(u1,v1,w) ),
inference(superposition,[],[f28,f190]) ).
fof(f199,plain,
( ~ between(w,v1,u1)
| between(u1,v1,w) ),
inference(forward_subsumption_resolution,[],[f197,f68]) ).
fof(f200,plain,
~ between(w,v1,u1),
inference(forward_subsumption_resolution,[],[f199,f39]) ).
fof(f293,plain,
v = inner_pasch(v,w,w,v,u),
inference(resolution,[],[f118,f38]) ).
fof(f298,plain,
( ~ between(w,v,u)
| between(u,v,w)
| between(v,w,w) ),
inference(superposition,[],[f27,f293]) ).
fof(f303,plain,
( ~ between(w,v,u)
| between(v,w,w) ),
inference(forward_subsumption_resolution,[],[f298,f38]) ).
fof(f304,plain,
~ between(w,v,u),
inference(forward_subsumption_resolution,[],[f303,f68]) ).
fof(f305,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f304,f55]) ).
fof(f309,plain,
( between(w,v1,u1)
| between(u,x,u1)
| ~ spl0_1 ),
inference(resolution,[],[f53,f28]) ).
fof(f310,plain,
( between(u,x,u1)
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f309,f200]) ).
fof(f311,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f310,f40]) ).
fof(f312,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f311]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f58]) ).
cnf(s3,plain,
~ spl0_2,
inference(sat_conversion,[],[f305]) ).
cnf(s4,plain,
~ spl0_1,
inference(sat_conversion,[],[f312]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s3,s4]) ).
fof(f313,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO048-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n014.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 06:42:47 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 Running first-order model finding
% 0.11/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.46 % (454898)Will run a generic schedule for satisfiability detection.
% 0.11/0.46 % (454908)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3022359783:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.11/0.46 % (454904)% WARNING: option uhcvi not known.
% 0.11/0.46 % (454904)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1473727032:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.11/0.46 % (454903)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2822265453_2999 on theBenchmark for (2999ds/0Mi)
% 0.11/0.46 % (454909)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=17879084:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.11/0.46 % (454905)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=238380149:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.11/0.46 % (454906)dis+10_1_sil=32000:sp=arity:random_seed=1588272862:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.11/0.46 % (454907)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4277501608:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.11/0.46 % TRYING [1]
% 0.11/0.46 % TRYING [2]
% 0.11/0.46 % TRYING [3]
% 0.11/0.46 % (454904) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-454898-454904"...
% 0.11/0.46 % (454904)...printing done.
% 0.11/0.46 % (454904)Refutation found. Thanks to Tanya!
% 0.11/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.11/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.46 % (454904)------------------------------
% 0.11/0.46 % (454904)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.46 % (454904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.46 % (454904)CaDiCaL version: 2.1.3
% 0.11/0.46 % (454904)Termination reason: Refutation
% 0.11/0.46 % (454904)Time elapsed: 0.015 s
% 0.11/0.46 % (454904)Peak memory usage: 12 MB
% 0.11/0.46 % (454904)Instructions burned: 20 (million)
% 0.11/0.46 % (454898)Success in time 0.047 s
% 0.11/0.46 % Vampire exiting
%------------------------------------------------------------------------------