%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM691_8 : TPTP v9.3.1. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n016.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 12:25:23 PM UTC 2026
% Result : Theorem 0.17s 0.47s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of formulae : 58 ( 8 unt; 0 typ; 4 def)
% Number of atoms : 126 ( 24 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 143 ( 75 ~; 49 |; 5 &)
% ( 4 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 5 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 42 ( 0 sgn 42 !; 0 ?; 42 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
nat: $tType ).
tff(func_def_0,type,
x: nat ).
tff(func_def_1,type,
y: nat ).
tff(func_def_2,type,
z: nat ).
tff(func_def_3,type,
u: nat ).
tff(func_def_4,type,
pl: ( nat * nat ) > nat ).
tff(pred_def_1,type,
more: ( nat * nat ) > $o ).
tff(f1,axiom,
( ~ more(x,y)
=> ( x = y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m) ).
tff(f2,axiom,
( ~ more(z,u)
=> ( z = u ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n) ).
tff(f4,axiom,
! [X0: nat,X1: nat,X2: nat,X3: nat] :
( ( ~ more(X0,X1)
=> ( X0 = X1 ) )
=> ( more(X2,X3)
=> more(pl(X0,X2),pl(X1,X3)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz22a) ).
tff(f5,axiom,
! [X0: nat,X1: nat,X2: nat,X3: nat] :
( more(X0,X1)
=> ( ( ~ more(X2,X3)
=> ( X2 = X3 ) )
=> more(pl(X0,X2),pl(X1,X3)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz22b) ).
tff(f6,conjecture,
( ~ more(pl(x,z),pl(y,u))
=> ( pl(x,z) = pl(y,u) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz23) ).
tff(f7,negated_conjecture,
~ ( ~ more(pl(x,z),pl(y,u))
=> ( pl(x,z) = pl(y,u) ) ),
inference(negated_conjecture,[status(cth)],[f6]) ).
tff(f10,plain,
( ( x = y )
| more(x,y) ),
inference(ennf_transformation,[],[f1]) ).
tff(f11,plain,
( ( z = u )
| more(z,u) ),
inference(ennf_transformation,[],[f2]) ).
tff(f13,plain,
! [X0: nat,X1: nat,X2: nat,X3: nat] :
( more(pl(X0,X2),pl(X1,X3))
| ~ more(X2,X3)
| ( ( X0 != X1 )
& ~ more(X0,X1) ) ),
inference(ennf_transformation,[],[f4]) ).
tff(f14,plain,
! [X0: nat,X1: nat,X2: nat,X3: nat] :
( more(pl(X0,X2),pl(X1,X3))
| ~ more(X2,X3)
| ( ( X0 != X1 )
& ~ more(X0,X1) ) ),
inference(flattening,[],[f13]) ).
tff(f15,plain,
! [X0: nat,X1: nat,X2: nat,X3: nat] :
( more(pl(X0,X2),pl(X1,X3))
| ( ( X2 != X3 )
& ~ more(X2,X3) )
| ~ more(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
tff(f16,plain,
! [X0: nat,X1: nat,X2: nat,X3: nat] :
( more(pl(X0,X2),pl(X1,X3))
| ( ( X2 != X3 )
& ~ more(X2,X3) )
| ~ more(X0,X1) ),
inference(flattening,[],[f15]) ).
tff(f17,plain,
( ( pl(x,z) != pl(y,u) )
& ~ more(pl(x,z),pl(y,u)) ),
inference(ennf_transformation,[],[f7]) ).
tff(f18,plain,
( more(x,y)
| ( x = y ) ),
inference(cnf_transformation,[],[f10]) ).
tff(f19,plain,
( more(z,u)
| ( z = u ) ),
inference(cnf_transformation,[],[f11]) ).
tff(f20,plain,
! [X2: nat,X3: nat,X0: nat,X1: nat] :
( more(pl(X0,X2),pl(X1,X3))
| ~ more(X2,X3)
| ~ more(X0,X1) ),
inference(cnf_transformation,[],[f14]) ).
tff(f21,plain,
! [X2: nat,X3: nat,X0: nat,X1: nat] :
( ( X0 != X1 )
| ~ more(X2,X3)
| more(pl(X0,X2),pl(X1,X3)) ),
inference(cnf_transformation,[],[f14]) ).
tff(f23,plain,
! [X2: nat,X3: nat,X0: nat,X1: nat] :
( ~ more(X0,X1)
| ( X2 != X3 )
| more(pl(X0,X2),pl(X1,X3)) ),
inference(cnf_transformation,[],[f16]) ).
tff(f24,plain,
~ more(pl(x,z),pl(y,u)),
inference(cnf_transformation,[],[f17]) ).
tff(f25,plain,
pl(x,z) != pl(y,u),
inference(cnf_transformation,[],[f17]) ).
tff(f26,plain,
! [X2: nat,X3: nat,X1: nat] :
( more(pl(X1,X2),pl(X1,X3))
| ~ more(X2,X3) ),
inference(equality_resolution,[],[f21]) ).
tff(f27,plain,
! [X3: nat,X0: nat,X1: nat] :
( more(pl(X0,X3),pl(X1,X3))
| ~ more(X0,X1) ),
inference(equality_resolution,[],[f23]) ).
tff(f29,definition,
( spl0_1
<=> ( z = u ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
tff(f31,plain,
( ( z = u )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f29]) ).
tff(f33,definition,
( spl0_2
<=> more(z,u) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
tff(f35,plain,
( more(z,u)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f33]) ).
tff(f36,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f19,f33,f29]) ).
tff(f38,definition,
( spl0_3
<=> ( x = y ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
tff(f40,plain,
( ( x = y )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f38]) ).
tff(f42,definition,
( spl0_4
<=> more(x,y) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
tff(f44,plain,
( more(x,y)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f42]) ).
tff(f45,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f18,f42,f38]) ).
tff(f47,plain,
( ~ more(pl(x,z),pl(x,u))
| ~ spl0_3 ),
inference(superposition,[],[f24,f40]) ).
tff(f48,plain,
( ~ more(z,u)
| ~ spl0_3 ),
inference(resolution,[],[f47,f26]) ).
tff(f51,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f48,f38,f33]) ).
tff(f54,plain,
( ( pl(x,z) != pl(y,z) )
| ~ spl0_1 ),
inference(superposition,[],[f25,f31]) ).
tff(f55,plain,
( ~ more(pl(x,z),pl(y,z))
| ~ spl0_1 ),
inference(superposition,[],[f24,f31]) ).
tff(f59,plain,
( ( pl(x,z) != pl(x,z) )
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f54,f40]) ).
tff(f60,plain,
( $false
| ~ spl0_1
| ~ spl0_3 ),
inference(trivial_inequality_removal,[],[f59]) ).
tff(f61,plain,
( ~ spl0_1
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f60]) ).
tff(f63,plain,
( ~ more(x,y)
| ~ spl0_1 ),
inference(resolution,[],[f55,f27]) ).
tff(f64,plain,
( ~ spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f63,f29,f42]) ).
tff(f65,plain,
( ~ more(z,u)
| ~ more(x,y) ),
inference(resolution,[],[f20,f24]) ).
tff(f66,plain,
( ~ more(x,y)
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f65,f35]) ).
tff(f67,plain,
( $false
| ~ spl0_2
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f66,f44]) ).
tff(f68,plain,
( ~ spl0_2
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f67]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f36]) ).
cnf(s2,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f45]) ).
cnf(s4,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f51]) ).
cnf(s6,plain,
( ~ spl0_1
| ~ spl0_3 ),
inference(sat_conversion,[],[f61]) ).
cnf(s7,plain,
( ~ spl0_1
| ~ spl0_4 ),
inference(sat_conversion,[],[f64]) ).
cnf(s8,plain,
( ~ spl0_2
| ~ spl0_4 ),
inference(sat_conversion,[],[f68]) ).
cnf(s9,plain,
~ spl0_2,
inference(rat,[],[s2,s4,s8]) ).
cnf(s10,plain,
spl0_1,
inference(rat,[],[s1,s9]) ).
cnf(s11,plain,
~ spl0_4,
inference(rat,[],[s7,s10]) ).
cnf(s12,plain,
~ spl0_3,
inference(rat,[],[s6,s10]) ).
cnf(s13,plain,
$false,
inference(rat,[],[s2,s11,s12]) ).
tff(f69,plain,
$false,
inference(avatar_sat_refutation,[],[s13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM691_8 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n016.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 21:11:32 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.43 Running first-order model finding
% 0.12/0.43 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
% 0.17/0.47 % (2989281)Will run a generic schedule for satisfiability detection.
% 0.17/0.47 % (2989286)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4193108868_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.47 % Detected minimum model sizes of [1,1]
% 0.17/0.47 % Detected maximum model sizes of [max,2]
% 0.17/0.47 % TRYING [1,1]
% 0.17/0.47 % TRYING [1,2]
% 0.17/0.47 % TRYING [2,2]
% 0.17/0.47 % TRYING [3,2]
% 0.17/0.47 % TRYING [4,2]
% 0.17/0.47 % (2989287)% WARNING: option uhcvi not known.
% 0.17/0.47 % TRYING [5,2]
% 0.17/0.47 % (2989287)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2035089065:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.47 % (2989288)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=89093975:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.47 % (2989289)dis+10_1_sil=32000:sp=arity:random_seed=1406624755:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.47 % (2989290)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1389418767:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.47 % (2989291)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=288742795:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.47 % (2989292)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1910795507:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.47 % (2989287) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2989281-2989287"...
% 0.17/0.47 % (2989290) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2989281-2989290"...
% 0.17/0.47 % (2989289) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2989281-2989289"...
% 0.17/0.47 % (2989292) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2989281-2989292"...
% 0.17/0.47 % TRYING [6,2]
% 0.17/0.47 % (2989287)...printing done.
% 0.17/0.47 % (2989290)...printing done.
% 0.17/0.47 % (2989288) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2989281-2989288"...
% 0.17/0.47 % (2989289)...printing done.
% 0.17/0.47 % (2989287)Refutation found. Thanks to Tanya!
% 0.17/0.47 % SZS status Theorem for theBenchmark
% 0.17/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.47 % (2989287)------------------------------
% 0.17/0.47 % (2989287)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.47 % (2989287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.47 % (2989287)CaDiCaL version: 2.1.3
% 0.17/0.47 % (2989287)Termination reason: Refutation
% 0.17/0.47 % (2989287)Time elapsed: 0.003 s
% 0.17/0.47 % (2989287)Peak memory usage: 12 MB
% 0.17/0.47 % (2989287)Instructions burned: 2 (million)
% 0.17/0.47 % (2989281)Success in time 0.037 s
% 0.17/0.47 % Vampire exiting
%------------------------------------------------------------------------------