%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO069-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n019.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 09:53:29 AM UTC 2026
% Result : Unsatisfiable 0.69s 0.60s
% Output : Refutation 0.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of formulae : 62 ( 16 unt; 6 def)
% Number of atoms : 123 ( 10 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 122 ( 61 ~; 55 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 7 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 32 ( 0 sgn 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f100,axiom,
! [X2,X0,X1] :
( ~ colinear(X0,X1,X2)
| colinear(X2,X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_1) ).
fof(f101,axiom,
! [X2,X0,X1] :
( ~ colinear(X0,X1,X2)
| colinear(X1,X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_2) ).
fof(f103,axiom,
! [X2,X0,X1] :
( ~ colinear(X0,X1,X2)
| colinear(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_4) ).
fof(f111,axiom,
! [X2,X3,X0,X1] :
( ~ colinear(X0,X1,X2)
| ~ colinear(X0,X1,X3)
| colinear(X0,X2,X3)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_1) ).
fof(f113,axiom,
u != v,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_not_v) ).
fof(f114,axiom,
colinear(w,v,u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wvu_colinear) ).
fof(f115,axiom,
colinear(x,v,u),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xvu_colinear) ).
fof(f116,negated_conjecture,
( ~ colinear(x,w,u)
| ~ colinear(x,w,v) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_xwu_and_xwv_colinear) ).
fof(f211,plain,
! [X2,X0,X1] :
( colinear(X0,X1,X2)
| ~ colinear(X2,X1,X0) ),
inference(consistent_polarity_flipping,[],[f100]) ).
fof(f212,plain,
! [X2,X0,X1] :
( colinear(X0,X1,X2)
| ~ colinear(X1,X2,X0) ),
inference(consistent_polarity_flipping,[],[f101]) ).
fof(f214,plain,
! [X2,X0,X1] :
( colinear(X0,X1,X2)
| ~ colinear(X2,X0,X1) ),
inference(consistent_polarity_flipping,[],[f103]) ).
fof(f222,plain,
! [X2,X3,X0,X1] :
( colinear(X0,X1,X3)
| colinear(X0,X1,X2)
| ~ colinear(X0,X2,X3)
| X0 = X1 ),
inference(consistent_polarity_flipping,[],[f111]) ).
fof(f224,plain,
~ colinear(w,v,u),
inference(consistent_polarity_flipping,[],[f114]) ).
fof(f225,plain,
~ colinear(x,v,u),
inference(consistent_polarity_flipping,[],[f115]) ).
fof(f226,plain,
( colinear(x,w,u)
| colinear(x,w,v) ),
inference(consistent_polarity_flipping,[],[f116]) ).
fof(f228,definition,
( spl0_1
<=> colinear(x,w,v) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f229,plain,
( ~ colinear(x,w,v)
| spl0_1 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f232,definition,
( spl0_2
<=> colinear(x,w,u) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f234,plain,
( colinear(x,w,u)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f235,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f226,f232,f228]) ).
fof(f286,plain,
~ colinear(v,u,w),
inference(resolution,[],[f212,f224]) ).
fof(f287,plain,
( ~ colinear(w,v,x)
| spl0_1 ),
inference(resolution,[],[f212,f229]) ).
fof(f288,plain,
~ colinear(v,u,x),
inference(resolution,[],[f212,f225]) ).
fof(f2895,plain,
! [X0] :
( colinear(v,u,X0)
| ~ colinear(v,X0,x)
| u = v ),
inference(resolution,[],[f222,f288]) ).
fof(f2897,plain,
( ! [X0] :
( colinear(w,v,X0)
| ~ colinear(w,X0,x)
| v = w )
| spl0_1 ),
inference(resolution,[],[f222,f287]) ).
fof(f2945,definition,
( spl0_13
<=> v = w ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f2947,plain,
( v = w
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f2945]) ).
fof(f2949,definition,
( spl0_14
<=> ! [X0] :
( colinear(w,v,X0)
| ~ colinear(w,X0,x) ) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f2950,plain,
( ! [X0] :
( colinear(w,v,X0)
| ~ colinear(w,X0,x) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f2949]) ).
fof(f2951,plain,
( spl0_13
| spl0_14
| spl0_1 ),
inference(avatar_split_clause,[],[f2897,f228,f2949,f2945]) ).
fof(f2957,definition,
( spl0_16
<=> u = v ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f2959,plain,
( u = v
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f2957]) ).
fof(f2961,definition,
( spl0_17
<=> ! [X0] :
( colinear(v,u,X0)
| ~ colinear(v,X0,x) ) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f2962,plain,
( ! [X0] :
( colinear(v,u,X0)
| ~ colinear(v,X0,x) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f2961]) ).
fof(f2963,plain,
( spl0_16
| spl0_17 ),
inference(avatar_split_clause,[],[f2895,f2961,f2957]) ).
fof(f3001,plain,
( colinear(x,v,u)
| ~ spl0_2
| ~ spl0_13 ),
inference(superposition,[],[f234,f2947]) ).
fof(f3079,plain,
( $false
| ~ spl0_2
| ~ spl0_13 ),
inference(resolution,[],[f3001,f225]) ).
fof(f3086,plain,
( ~ spl0_2
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f3079]) ).
fof(f3375,plain,
( u != u
| ~ spl0_16 ),
inference(superposition,[],[f113,f2959]) ).
fof(f3395,plain,
( $false
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f3375]) ).
fof(f3396,plain,
~ spl0_16,
inference(avatar_contradiction_clause,[],[f3395]) ).
fof(f4117,plain,
( ~ colinear(v,w,x)
| ~ spl0_17 ),
inference(resolution,[],[f2962,f286]) ).
fof(f4128,plain,
( ~ colinear(x,w,v)
| ~ spl0_17 ),
inference(resolution,[],[f4117,f211]) ).
fof(f4140,plain,
( ~ spl0_1
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f4128,f2961,f228]) ).
fof(f4508,plain,
( ~ colinear(w,u,x)
| ~ spl0_14 ),
inference(resolution,[],[f2950,f224]) ).
fof(f4521,plain,
( ~ colinear(x,w,u)
| ~ spl0_14 ),
inference(resolution,[],[f4508,f214]) ).
fof(f4533,plain,
( ~ spl0_2
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f4521,f2949,f232]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f235]) ).
cnf(s8,plain,
( spl0_1
| spl0_13
| spl0_14 ),
inference(sat_conversion,[],[f2951]) ).
cnf(s10,plain,
( spl0_16
| spl0_17 ),
inference(sat_conversion,[],[f2963]) ).
cnf(s22,plain,
( ~ spl0_2
| ~ spl0_13 ),
inference(sat_conversion,[],[f3086]) ).
cnf(s55,plain,
~ spl0_16,
inference(sat_conversion,[],[f3396]) ).
cnf(s117,plain,
( ~ spl0_1
| ~ spl0_17 ),
inference(sat_conversion,[],[f4140]) ).
cnf(s150,plain,
( ~ spl0_2
| ~ spl0_14 ),
inference(sat_conversion,[],[f4533]) ).
cnf(s159,plain,
spl0_17,
inference(rat,[],[s10,s55]) ).
cnf(s160,plain,
~ spl0_1,
inference(rat,[],[s117,s159]) ).
cnf(s161,plain,
( spl0_13
| spl0_14 ),
inference(rat,[],[s8,s160]) ).
cnf(s165,plain,
spl0_2,
inference(rat,[],[s1,s160]) ).
cnf(s166,plain,
~ spl0_14,
inference(rat,[],[s150,s165]) ).
cnf(s167,plain,
~ spl0_13,
inference(rat,[],[s22,s165]) ).
cnf(s169,plain,
$false,
inference(rat,[],[s161,s166,s167]) ).
fof(f4547,plain,
$false,
inference(avatar_sat_refutation,[],[s169]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO069-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 % Computer : n019.cluster.edu
% 0.10/0.41 % Model : x86_64 x86_64
% 0.10/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.41 % Memory : 8046.5625MB
% 0.10/0.41 % OS : Linux 6.8.0-71-generic
% 0.10/0.42 % CPULimit : 300
% 0.10/0.42 % WCLimit : 300
% 0.10/0.42 % DateTime : Sun Sep 27 06:49:19 UTC 2026
% 0.10/0.42 % CPUTime :
% 0.10/0.42 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.45 Running first-order model finding
% 0.10/0.45 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
% 0.69/0.60 % (2750449)Will run a generic schedule for satisfiability detection.
% 0.69/0.60 % (2750459)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4256284901:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.69/0.60 % (2750455)% WARNING: option uhcvi not known.
% 0.69/0.60 % (2750454)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1661861395_2999 on theBenchmark for (2999ds/0Mi)
% 0.69/0.60 % (2750455)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1305504559:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.69/0.60 % (2750456)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=100980858:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.69/0.60 % (2750458)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4061054238:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.69/0.60 % (2750457)dis+10_1_sil=32000:sp=arity:random_seed=3862687967:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.69/0.60 % (2750460)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3325440839:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.69/0.60 % Detected minimum model sizes of [3]
% 0.69/0.60 % Detected maximum model sizes of [max]
% 0.69/0.60 % TRYING [3]
% 0.69/0.60 % (2750459)Instruction limit reached!
% 0.69/0.60 % (2750459)------------------------------
% 0.69/0.60 % (2750459)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.60 % (2750459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.60 % (2750459)CaDiCaL version: 2.1.3
% 0.69/0.60 % (2750459)Termination reason: Instruction limit
% 0.69/0.60 % (2750459)Termination phase: Saturation
% 0.69/0.60 % (2750459)Time elapsed: 0.046 s
% 0.69/0.60 % (2750459)Peak memory usage: 12 MB
% 0.69/0.60 % (2750459)Instructions burned: 133 (million)
% 0.69/0.60 % (2750468)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2909350832:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.69/0.60 % Detected minimum model sizes of [3]
% 0.69/0.60 % Detected maximum model sizes of [max]
% 0.69/0.60 % TRYING [3]
% 0.69/0.60 % (2750458)Instruction limit reached!
% 0.69/0.60 % (2750458)------------------------------
% 0.69/0.60 % (2750458)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.60 % (2750458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.60 % (2750458)CaDiCaL version: 2.1.3
% 0.69/0.60 % (2750458)Termination reason: Instruction limit
% 0.69/0.60 % (2750458)Termination phase: Saturation
% 0.69/0.60 % (2750458)Time elapsed: 0.060 s
% 0.69/0.60 % (2750458)Peak memory usage: 12 MB
% 0.69/0.60 % (2750458)Instructions burned: 116 (million)
% 0.69/0.60 % (2750457)Instruction limit reached!
% 0.69/0.60 % (2750457)------------------------------
% 0.69/0.60 % (2750457)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.60 % (2750457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.60 % (2750457)CaDiCaL version: 2.1.3
% 0.69/0.60 % (2750457)Termination reason: Instruction limit
% 0.69/0.60 % (2750457)Termination phase: Saturation
% 0.69/0.60 % (2750457)Time elapsed: 0.064 s
% 0.69/0.60 % (2750457)Peak memory usage: 12 MB
% 0.69/0.60 % (2750457)Instructions burned: 103 (million)
% 0.69/0.60 % TRYING [4]
% 0.69/0.60 % (2750470)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2176594674:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.69/0.60 % (2750471)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=2682075918:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.69/0.60 % (2750460) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2750449-2750460"...
% 0.69/0.60 % TRYING [4]
% 0.69/0.60 % (2750460)...printing done.
% 0.69/0.60 % (2750460)Refutation found. Thanks to Tanya!
% 0.69/0.60 % SZS status Unsatisfiable for theBenchmark
% 0.69/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 0.69/0.60 % (2750460)------------------------------
% 0.69/0.60 % (2750460)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.69/0.60 % (2750460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.69/0.60 % (2750460)CaDiCaL version: 2.1.3
% 0.69/0.60 % (2750460)Termination reason: Refutation
% 0.69/0.60 % (2750460)Time elapsed: 0.098 s
% 0.69/0.60 % (2750460)Peak memory usage: 14 MB
% 0.69/0.60 % (2750460)Instructions burned: 148 (million)
% 0.69/0.60 % (2750449)Success in time 0.141 s
% 0.69/0.60 % Vampire exiting
%------------------------------------------------------------------------------