%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO127-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n010.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 09:53:39 AM UTC 2026
% Result : Unsatisfiable 0.12s 0.45s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 21
% Syntax : Number of formulae : 90 ( 17 unt; 7 def)
% Number of atoms : 190 ( 12 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 176 ( 76 ~; 93 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 8 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-1 aty)
% Number of variables : 61 ( 0 sgn 61 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f22,axiom,
! [X0,X1] :
( ~ end_point(X0,X1)
| incident_c(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',end_point_defn_13) ).
fof(f30,axiom,
! [X0,X1] :
( ~ inner_point(X0,X1)
| incident_c(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',inner_point_defn_21) ).
fof(f31,axiom,
! [X0,X1] :
( ~ inner_point(X0,X1)
| ~ end_point(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',inner_point_defn_22) ).
fof(f42,axiom,
! [X0] :
( ~ open(X0)
| end_point(ax0_sk7(X0),X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',open_defn_33) ).
fof(f46,axiom,
! [X0] : inner_point(ax0_sk8(X0),X0),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-0.ax',c3_37) ).
fof(f79,axiom,
! [X2,X0,X1] :
( ~ start_point(X0,X1)
| X0 = X2
| ~ incident_o(X2,X1)
| ordered_by(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-2.ax',start_point_defn_8) ).
fof(f90,axiom,
! [X2,X0,X1] :
( ~ ordered_by(X0,X1,X2)
| incident_o(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-2.ax',o1_17) ).
fof(f91,axiom,
! [X2,X0,X1] :
( ~ ordered_by(X0,X1,X2)
| incident_o(X2,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-2.ax',o1_18) ).
fof(f92,axiom,
! [X0] : open(ax2_sk3(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-2.ax',o2_19) ).
fof(f94,axiom,
! [X0,X1] :
( ~ incident_c(X0,ax2_sk3(X1))
| incident_o(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-2.ax',o2_21) ).
fof(f102,axiom,
! [X0] : start_point(ax2_sk6(X0),X0),
file('/export/starexec/sandbox/benchmark/Axioms/GEO004-2.ax',o4_29) ).
fof(f124,negated_conjecture,
( incident_o(sk26,sk25)
| ordered_by(sk25,sk26,sk27)
| ordered_by(sk25,sk27,sk26) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_4_12_133) ).
fof(f128,negated_conjecture,
! [X0] :
( ~ ordered_by(sk25,sk26,X0)
| ~ incident_o(sk26,sk25) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_4_12_137) ).
fof(f129,negated_conjecture,
! [X0] :
( ~ ordered_by(sk25,X0,sk26)
| ~ incident_o(sk26,sk25) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_4_12_138) ).
fof(f140,plain,
! [X0,X1] :
( end_point(X0,X1)
| incident_c(X0,X1) ),
inference(consistent_polarity_flipping,[],[f22]) ).
fof(f148,plain,
! [X0,X1] :
( inner_point(X0,X1)
| incident_c(X0,X1) ),
inference(consistent_polarity_flipping,[],[f30]) ).
fof(f149,plain,
! [X0,X1] :
( inner_point(X0,X1)
| end_point(X0,X1) ),
inference(consistent_polarity_flipping,[],[f31]) ).
fof(f156,plain,
! [X0] :
( ~ end_point(ax0_sk7(X0),X0)
| open(X0) ),
inference(consistent_polarity_flipping,[],[f42]) ).
fof(f160,plain,
! [X0] : ~ inner_point(ax0_sk8(X0),X0),
inference(consistent_polarity_flipping,[],[f46]) ).
fof(f180,plain,
! [X2,X0,X1] :
( ~ ordered_by(X1,X0,X2)
| X0 = X2
| incident_o(X2,X1)
| start_point(X0,X1) ),
inference(consistent_polarity_flipping,[],[f79]) ).
fof(f189,plain,
! [X2,X0,X1] :
( ~ incident_o(X1,X0)
| ordered_by(X0,X1,X2) ),
inference(consistent_polarity_flipping,[],[f90]) ).
fof(f190,plain,
! [X2,X0,X1] :
( ~ incident_o(X2,X0)
| ordered_by(X0,X1,X2) ),
inference(consistent_polarity_flipping,[],[f91]) ).
fof(f191,plain,
! [X0] : ~ open(ax2_sk3(X0)),
inference(consistent_polarity_flipping,[],[f92]) ).
fof(f193,plain,
! [X0,X1] :
( ~ incident_o(X0,X1)
| ~ incident_c(X0,ax2_sk3(X1)) ),
inference(consistent_polarity_flipping,[],[f94]) ).
fof(f201,plain,
! [X0] : ~ start_point(ax2_sk6(X0),X0),
inference(consistent_polarity_flipping,[],[f102]) ).
fof(f214,plain,
( ~ incident_o(sk26,sk25)
| ~ ordered_by(sk25,sk26,sk27)
| ~ ordered_by(sk25,sk27,sk26) ),
inference(consistent_polarity_flipping,[],[f124]) ).
fof(f218,plain,
! [X0] :
( ordered_by(sk25,sk26,X0)
| incident_o(sk26,sk25) ),
inference(consistent_polarity_flipping,[],[f128]) ).
fof(f219,plain,
! [X0] :
( ordered_by(sk25,X0,sk26)
| incident_o(sk26,sk25) ),
inference(consistent_polarity_flipping,[],[f129]) ).
fof(f221,definition,
( spl0_1
<=> incident_o(sk26,sk25) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f222,plain,
( ~ incident_o(sk26,sk25)
| spl0_1 ),
inference(avatar_component_clause,[],[f221]) ).
fof(f223,plain,
( incident_o(sk26,sk25)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f221]) ).
fof(f225,definition,
( spl0_2
<=> ! [X0] : ordered_by(sk25,X0,sk26) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f226,plain,
( ! [X0] : ordered_by(sk25,X0,sk26)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f225]) ).
fof(f227,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f219,f225,f221]) ).
fof(f229,definition,
( spl0_3
<=> ! [X0] : ordered_by(sk25,sk26,X0) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f230,plain,
( ! [X0] : ordered_by(sk25,sk26,X0)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f229]) ).
fof(f231,plain,
( spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f218,f229,f221]) ).
fof(f233,definition,
( spl0_4
<=> ordered_by(sk25,sk27,sk26) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f235,plain,
( ~ ordered_by(sk25,sk27,sk26)
| spl0_4 ),
inference(avatar_component_clause,[],[f233]) ).
fof(f237,definition,
( spl0_5
<=> ordered_by(sk25,sk26,sk27) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f239,plain,
( ~ ordered_by(sk25,sk26,sk27)
| spl0_5 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f242,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f214,f221,f237,f233]) ).
fof(f243,plain,
( $false
| ~ spl0_2
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f235,f226]) ).
fof(f244,plain,
( ~ spl0_2
| spl0_4 ),
inference(avatar_contradiction_clause,[],[f243]) ).
fof(f245,plain,
! [X0] : incident_c(ax0_sk8(X0),X0),
inference(resolution,[],[f148,f160]) ).
fof(f246,plain,
! [X0] : end_point(ax0_sk8(X0),X0),
inference(resolution,[],[f149,f160]) ).
fof(f250,plain,
! [X0] :
( incident_c(ax0_sk7(X0),X0)
| open(X0) ),
inference(resolution,[],[f156,f140]) ).
fof(f254,plain,
( ! [X0] : ordered_by(sk25,sk26,X0)
| ~ spl0_1 ),
inference(resolution,[],[f189,f223]) ).
fof(f255,plain,
( ! [X0] : ordered_by(sk25,X0,sk26)
| ~ spl0_1 ),
inference(resolution,[],[f190,f223]) ).
fof(f256,plain,
( spl0_2
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f255,f221,f225]) ).
fof(f257,plain,
( $false
| ~ spl0_3
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f239,f230]) ).
fof(f258,plain,
( ~ spl0_3
| spl0_5 ),
inference(avatar_contradiction_clause,[],[f257]) ).
fof(f259,plain,
( spl0_3
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f254,f221,f229]) ).
fof(f365,plain,
( ! [X0] :
( sk26 = X0
| incident_o(sk26,sk25)
| start_point(X0,sk25) )
| ~ spl0_2 ),
inference(resolution,[],[f180,f226]) ).
fof(f366,plain,
( ! [X0] :
( sk26 = X0
| incident_o(X0,sk25)
| start_point(sk26,sk25) )
| ~ spl0_3 ),
inference(resolution,[],[f180,f230]) ).
fof(f370,definition,
( spl0_6
<=> start_point(sk26,sk25) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f374,definition,
( spl0_7
<=> ! [X0] :
( sk26 = X0
| incident_o(X0,sk25) ) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f375,plain,
( ! [X0] :
( incident_o(X0,sk25)
| sk26 = X0 )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f374]) ).
fof(f376,plain,
( spl0_6
| spl0_7
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f366,f229,f374,f370]) ).
fof(f377,plain,
( ! [X0] :
( start_point(X0,sk25)
| sk26 = X0 )
| spl0_1
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f365,f222]) ).
fof(f390,plain,
( ! [X0] :
( ~ incident_c(X0,ax2_sk3(sk25))
| sk26 = X0 )
| ~ spl0_7 ),
inference(resolution,[],[f375,f193]) ).
fof(f398,plain,
( sk26 = ax2_sk6(sk25)
| spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f377,f201]) ).
fof(f428,plain,
( ~ start_point(sk26,sk25)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f201,f398]) ).
fof(f429,plain,
( ~ spl0_6
| spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f428,f225,f221,f370]) ).
fof(f688,plain,
( sk26 = ax0_sk7(ax2_sk3(sk25))
| open(ax2_sk3(sk25))
| ~ spl0_7 ),
inference(resolution,[],[f390,f250]) ).
fof(f690,plain,
( sk26 = ax0_sk8(ax2_sk3(sk25))
| ~ spl0_7 ),
inference(resolution,[],[f390,f245]) ).
fof(f695,plain,
( sk26 = ax0_sk7(ax2_sk3(sk25))
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f688,f191]) ).
fof(f732,plain,
( end_point(sk26,ax2_sk3(sk25))
| ~ spl0_7 ),
inference(superposition,[],[f246,f690]) ).
fof(f870,plain,
( ~ end_point(sk26,ax2_sk3(sk25))
| open(ax2_sk3(sk25))
| ~ spl0_7 ),
inference(superposition,[],[f156,f695]) ).
fof(f871,plain,
( open(ax2_sk3(sk25))
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f870,f732]) ).
fof(f873,plain,
( $false
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f871,f191]) ).
fof(f874,plain,
~ spl0_7,
inference(avatar_contradiction_clause,[],[f873]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f227]) ).
cnf(s2,plain,
( spl0_1
| spl0_3 ),
inference(sat_conversion,[],[f231]) ).
cnf(s5,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f242]) ).
cnf(s6,plain,
( ~ spl0_2
| spl0_4 ),
inference(sat_conversion,[],[f244]) ).
cnf(s7,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f256]) ).
cnf(s8,plain,
( ~ spl0_3
| spl0_5 ),
inference(sat_conversion,[],[f258]) ).
cnf(s9,plain,
( ~ spl0_1
| spl0_3 ),
inference(sat_conversion,[],[f259]) ).
cnf(s10,plain,
( ~ spl0_3
| spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f376]) ).
cnf(s11,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_6 ),
inference(sat_conversion,[],[f429]) ).
cnf(s21,plain,
~ spl0_7,
inference(sat_conversion,[],[f874]) ).
cnf(s22,plain,
( ~ spl0_3
| spl0_6 ),
inference(rat,[],[s10,s21]) ).
cnf(s23,plain,
spl0_1,
inference(rat,[],[s11,s22,s1,s2]) ).
cnf(s24,plain,
spl0_3,
inference(rat,[],[s9,s23]) ).
cnf(s25,plain,
spl0_2,
inference(rat,[],[s7,s23]) ).
cnf(s27,plain,
spl0_5,
inference(rat,[],[s8,s24]) ).
cnf(s28,plain,
spl0_4,
inference(rat,[],[s6,s25]) ).
cnf(s29,plain,
$false,
inference(rat,[],[s5,s23,s27,s28]) ).
fof(f875,plain,
$false,
inference(avatar_sat_refutation,[],[s29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO127-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.36 % Computer : n010.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 27 07:08:17 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.40 Running first-order model finding
% 0.12/0.40 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
% 0.12/0.45 % (597526)Will run a generic schedule for satisfiability detection.
% 0.12/0.45 % (597532)% WARNING: option uhcvi not known.
% 0.12/0.45 % (597532)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=853146860:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.12/0.45 % (597534)dis+10_1_sil=32000:sp=arity:random_seed=716308004:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.12/0.45 % (597531)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1376774602_2999 on theBenchmark for (2999ds/0Mi)
% 0.12/0.45 % (597537)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1758814546:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.12/0.45 % (597533)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=255883509:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.12/0.45 % (597535)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2834673504:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.12/0.45 % (597536)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3023673810:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.12/0.45 % TRYING [1]
% 0.12/0.45 % TRYING [2]
% 0.12/0.45 % TRYING [3]
% 0.12/0.45 % (597534) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-597526-597534"...
% 0.12/0.45 % (597532) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-597526-597532"...
% 0.12/0.45 % (597532)...printing done.
% 0.12/0.45 % (597534)...printing done.
% 0.12/0.45 % (597532)Refutation found. Thanks to Tanya!
% 0.12/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.45 % (597532)------------------------------
% 0.12/0.45 % (597532)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/0.45 % (597532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/0.45 % (597532)CaDiCaL version: 2.1.3
% 0.12/0.45 % (597532)Termination reason: Refutation
% 0.12/0.45 % (597532)Time elapsed: 0.015 s
% 0.12/0.45 % (597532)Peak memory usage: 13 MB
% 0.12/0.45 % (597532)Instructions burned: 37 (million)
% 0.12/0.45 % (597526)Success in time 0.046 s
% 0.12/0.45 % Vampire exiting
%------------------------------------------------------------------------------