%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO048-3 : 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 : n003.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 0.45s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 13 ( 9 unt; 0 def)
% Number of atoms : 18 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 15 ( 10 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-5 aty)
% Number of variables : 8 ( 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
! [X2,X3,X0,X1,X4] :
( between(X4,inner_pasch(X0,X1,X2,X4,X3),X0)
| ~ between(X3,X4,X2)
| ~ between(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO002-0.ax',inner_pasch2) ).
fof(f53,axiom,
! [X2,X0,X1] :
( ~ between(X0,X1,X2)
| between(X2,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1) ).
fof(f72,axiom,
between(u,v,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_u_and_w) ).
fof(f73,axiom,
between(u1,v1,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v1_between_u1_and_w) ).
fof(f74,axiom,
between(u,x,u1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_between_u_and_u1) ).
fof(f76,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(f96,plain,
between(w,v,u),
inference(resolution,[],[f53,f72]) ).
fof(f97,plain,
between(w,v1,u1),
inference(resolution,[],[f53,f73]) ).
fof(f518,plain,
( ~ between(w,v,u)
| ~ between(v1,inner_pasch(u,x,u1,v1,w),u) ),
inference(resolution,[],[f9,f76]) ).
fof(f534,plain,
~ between(v1,inner_pasch(u,x,u1,v1,w),u),
inference(forward_subsumption_resolution,[],[f518,f96]) ).
fof(f576,plain,
( ~ between(w,v1,u1)
| ~ between(u,x,u1) ),
inference(resolution,[],[f534,f9]) ).
fof(f577,plain,
~ between(u,x,u1),
inference(forward_subsumption_resolution,[],[f576,f97]) ).
fof(f578,plain,
$false,
inference(forward_subsumption_resolution,[],[f577,f74]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO048-3 : 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 : n003.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 06:44:40 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 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
% 0.11/0.45 % (148913)Will run a generic schedule for satisfiability detection.
% 0.11/0.45 % (148921)dis+10_1_sil=32000:sp=arity:random_seed=1609096343:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.11/0.45 % (148919)% WARNING: option uhcvi not known.
% 0.11/0.45 % (148921) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-148913-148921"...
% 0.11/0.45 % (148921)...printing done.
% 0.11/0.45 % (148920)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2264595337:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.11/0.45 % (148918)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4225008248_2999 on theBenchmark for (2999ds/0Mi)
% 0.11/0.45 % (148921)Refutation found. Thanks to Tanya!
% 0.11/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.11/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.45 % (148921)------------------------------
% 0.11/0.45 % (148921)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.45 % (148921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.45 % (148921)CaDiCaL version: 2.1.3
% 0.11/0.45 % (148921)Termination reason: Refutation
% 0.11/0.45 % (148921)Time elapsed: 0.006 s
% 0.11/0.45 % (148921)Peak memory usage: 12 MB
% 0.11/0.45 % (148921)Instructions burned: 15 (million)
% 0.11/0.45 % (148913)Success in time 0.034 s
% 0.11/0.45 % Vampire exiting
%------------------------------------------------------------------------------