%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : MGT058-1 : 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 : n013.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 12:02:45 PM UTC 2026
% Result : Unsatisfiable 0.17s 0.47s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 17
% Syntax : Number of formulae : 83 ( 16 unt; 6 def)
% Number of atoms : 176 ( 16 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 183 ( 90 ~; 87 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 7 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 15 ( 0 sgn 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( ~ smaller(X0,X1)
| smaller_or_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax',definition_smaller_or_equal_2) ).
fof(f3,axiom,
! [X0,X1] :
( X0 != X1
| smaller_or_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax',definition_smaller_or_equal_3) ).
fof(f4,axiom,
! [X0,X1] :
( ~ greater_or_equal(X0,X1)
| greater(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax',definition_greater_or_equal_4) ).
fof(f8,axiom,
! [X0,X1] :
( ~ greater(X0,X1)
| smaller(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax',definition_smaller_8) ).
fof(f12,axiom,
! [X0,X1] :
( ~ fragile_position(X0)
| ~ smaller_or_equal(age(X0,X1),sigma)
| positional_advantage(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_3_30) ).
fof(f18,axiom,
! [X0,X1] :
( ~ robust_position(X0)
| ~ smaller_or_equal(age(X0,X1),tau)
| ~ positional_advantage(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_4_36) ).
fof(f25,negated_conjecture,
age(sk3,sk4) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_10_43) ).
fof(f26,negated_conjecture,
greater_or_equal(sigma,zero),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_10_44) ).
fof(f27,negated_conjecture,
greater_or_equal(tau,zero),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_10_45) ).
fof(f28,negated_conjecture,
fragile_position(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_10_46) ).
fof(f29,negated_conjecture,
robust_position(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_10_47) ).
fof(f30,plain,
greater_or_equal(tau,age(sk3,sk4)),
inference(superposition,[],[f27,f25]) ).
fof(f31,plain,
greater_or_equal(sigma,age(sk3,sk4)),
inference(superposition,[],[f26,f25]) ).
fof(f32,plain,
! [X0] : smaller_or_equal(X0,X0),
inference(equality_resolution,[],[f3]) ).
fof(f35,plain,
( greater(sigma,zero)
| sigma = zero ),
inference(resolution,[],[f4,f26]) ).
fof(f37,plain,
( greater(tau,age(sk3,sk4))
| tau = age(sk3,sk4) ),
inference(resolution,[],[f4,f30]) ).
fof(f41,definition,
( spl0_1
<=> sigma = age(sk3,sk4) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f43,plain,
( sigma = age(sk3,sk4)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f45,definition,
( spl0_2
<=> greater(sigma,age(sk3,sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f46,plain,
( ~ greater(sigma,age(sk3,sk4))
| spl0_2 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f47,plain,
( greater(sigma,age(sk3,sk4))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f50,definition,
( spl0_3
<=> tau = age(sk3,sk4) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f52,plain,
( tau = age(sk3,sk4)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f54,definition,
( spl0_4
<=> greater(tau,age(sk3,sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f56,plain,
( greater(tau,age(sk3,sk4))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f54]) ).
fof(f57,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f37,f54,f50]) ).
fof(f59,plain,
( greater(sigma,age(sk3,sk4))
| sigma = zero ),
inference(forward_demodulation,[],[f35,f25]) ).
fof(f61,plain,
( sigma = age(sk3,sk4)
| greater(sigma,age(sk3,sk4)) ),
inference(forward_demodulation,[],[f59,f25]) ).
fof(f63,plain,
( spl0_2
| spl0_1 ),
inference(avatar_split_clause,[],[f61,f41,f45]) ).
fof(f65,plain,
( smaller(age(sk3,sk4),sigma)
| ~ spl0_2 ),
inference(resolution,[],[f47,f8]) ).
fof(f67,plain,
( smaller(tau,sigma)
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f65,f52]) ).
fof(f72,plain,
( smaller_or_equal(tau,sigma)
| ~ spl0_2
| ~ spl0_3 ),
inference(resolution,[],[f67,f2]) ).
fof(f79,plain,
! [X0] :
( ~ smaller_or_equal(age(sk3,X0),sigma)
| positional_advantage(sk3,X0) ),
inference(resolution,[],[f12,f28]) ).
fof(f86,plain,
! [X0] :
( ~ positional_advantage(sk3,X0)
| ~ smaller_or_equal(age(sk3,X0),tau) ),
inference(resolution,[],[f18,f29]) ).
fof(f90,plain,
( greater_or_equal(sigma,tau)
| ~ spl0_3 ),
inference(superposition,[],[f31,f52]) ).
fof(f95,plain,
( ~ smaller_or_equal(tau,sigma)
| positional_advantage(sk3,sk4)
| ~ spl0_3 ),
inference(superposition,[],[f79,f52]) ).
fof(f96,plain,
( positional_advantage(sk3,sk4)
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f95,f72]) ).
fof(f103,plain,
( ~ smaller_or_equal(age(sk3,sk4),tau)
| ~ spl0_2
| ~ spl0_3 ),
inference(resolution,[],[f86,f96]) ).
fof(f104,plain,
( ~ smaller_or_equal(tau,tau)
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f103,f52]) ).
fof(f105,plain,
( $false
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f104,f32]) ).
fof(f106,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f105]) ).
fof(f107,plain,
( ~ greater(sigma,tau)
| spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f46,f52]) ).
fof(f109,definition,
( spl0_5
<=> positional_advantage(sk3,sk4) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f111,plain,
( positional_advantage(sk3,sk4)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f125,definition,
( spl0_8
<=> sigma = tau ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f126,plain,
( sigma != tau
| spl0_8 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f127,plain,
( sigma = tau
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f157,plain,
( smaller(age(sk3,sk4),tau)
| ~ spl0_4 ),
inference(resolution,[],[f56,f8]) ).
fof(f161,plain,
( smaller_or_equal(age(sk3,sk4),sigma)
| ~ spl0_2 ),
inference(resolution,[],[f65,f2]) ).
fof(f165,plain,
( smaller_or_equal(age(sk3,sk4),tau)
| ~ spl0_4 ),
inference(resolution,[],[f157,f2]) ).
fof(f166,plain,
( positional_advantage(sk3,sk4)
| ~ spl0_2 ),
inference(resolution,[],[f161,f79]) ).
fof(f180,plain,
( spl0_5
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f166,f45,f109]) ).
fof(f202,plain,
( ~ smaller_or_equal(age(sk3,sk4),tau)
| ~ spl0_5 ),
inference(resolution,[],[f111,f86]) ).
fof(f210,plain,
( $false
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f202,f165]) ).
fof(f211,plain,
( ~ spl0_4
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f210]) ).
fof(f231,plain,
( ~ smaller_or_equal(sigma,sigma)
| positional_advantage(sk3,sk4)
| ~ spl0_1 ),
inference(superposition,[],[f79,f43]) ).
fof(f238,plain,
( positional_advantage(sk3,sk4)
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f231,f32]) ).
fof(f242,plain,
( spl0_5
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f238,f41,f109]) ).
fof(f244,plain,
( greater(sigma,tau)
| sigma = tau
| ~ spl0_3 ),
inference(resolution,[],[f90,f4]) ).
fof(f247,plain,
( ~ smaller_or_equal(age(sk3,sk4),tau)
| ~ spl0_5 ),
inference(resolution,[],[f111,f86]) ).
fof(f256,plain,
( ~ smaller_or_equal(age(sk3,sk4),sigma)
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f247,f127]) ).
fof(f259,plain,
( ~ smaller_or_equal(sigma,sigma)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_demodulation,[],[f256,f43]) ).
fof(f261,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f259,f32]) ).
fof(f262,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f261]) ).
fof(f266,plain,
( sigma = tau
| spl0_2
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f244,f107]) ).
fof(f269,plain,
( $false
| spl0_2
| ~ spl0_3
| spl0_8 ),
inference(forward_subsumption_resolution,[],[f266,f126]) ).
fof(f270,plain,
( spl0_2
| ~ spl0_3
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f269]) ).
cnf(s2,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f57]) ).
cnf(s4,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f63]) ).
cnf(s5,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f106]) ).
cnf(s11,plain,
( ~ spl0_2
| spl0_5 ),
inference(sat_conversion,[],[f180]) ).
cnf(s16,plain,
( ~ spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f211]) ).
cnf(s19,plain,
( ~ spl0_1
| spl0_5 ),
inference(sat_conversion,[],[f242]) ).
cnf(s21,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_8 ),
inference(sat_conversion,[],[f262]) ).
cnf(s23,plain,
( spl0_2
| ~ spl0_3
| spl0_8 ),
inference(sat_conversion,[],[f270]) ).
cnf(s24,plain,
~ spl0_2,
inference(rat,[],[s2,s16,s5,s11]) ).
cnf(s25,plain,
spl0_1,
inference(rat,[],[s4,s24]) ).
cnf(s26,plain,
spl0_5,
inference(rat,[],[s19,s25]) ).
cnf(s27,plain,
~ spl0_8,
inference(rat,[],[s21,s26,s25]) ).
cnf(s28,plain,
~ spl0_4,
inference(rat,[],[s16,s26]) ).
cnf(s29,plain,
~ spl0_3,
inference(rat,[],[s23,s24,s27]) ).
cnf(s30,plain,
$false,
inference(rat,[],[s2,s28,s29]) ).
fof(f271,plain,
$false,
inference(avatar_sat_refutation,[],[s30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT058-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n013.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 17:29:21 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 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
% 0.17/0.47 % (440085)Will run a generic schedule for satisfiability detection.
% 0.17/0.47 % (440095)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2474695709:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.47 % (440091)% WARNING: option uhcvi not known.
% 0.17/0.47 % (440095) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-440085-440095"...
% 0.17/0.47 % (440095)...printing done.
% 0.17/0.47 % (440095)Refutation found. Thanks to Tanya!
% 0.17/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.47 % (440095)------------------------------
% 0.17/0.47 % (440095)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.47 % (440095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.47 % (440095)CaDiCaL version: 2.1.3
% 0.17/0.47 % (440095)Termination reason: Refutation
% 0.17/0.47 % (440095)Time elapsed: 0.004 s
% 0.17/0.47 % (440095)Peak memory usage: 12 MB
% 0.17/0.47 % (440095)Instructions burned: 8 (million)
% 0.17/0.47 % (440085)Success in time 0.034 s
% 0.17/0.47 % Vampire exiting
%------------------------------------------------------------------------------