%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : MGT042-1 : 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 : n014.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 12:02:41 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.46s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 31
% Syntax : Number of formulae : 121 ( 16 unt; 8 def)
% Number of atoms : 336 ( 38 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 390 ( 175 ~; 207 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 9 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 65 ( 0 sgn 65 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ smaller_or_equal(X0,X1)
| smaller(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax',definition_smaller_or_equal_1) ).
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(f5,axiom,
! [X0,X1] :
( ~ greater(X0,X1)
| greater_or_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax',definition_greater_or_equal_5) ).
fof(f6,axiom,
! [X0,X1] :
( X0 != X1
| greater_or_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax',definition_greater_or_equal_6) ).
fof(f7,axiom,
! [X0,X1] :
( ~ smaller(X0,X1)
| greater(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax',definition_smaller_7) ).
fof(f9,axiom,
! [X0,X1] :
( ~ greater(X0,X1)
| ~ greater(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax',meaning_postulate_greater_strict_9) ).
fof(f11,axiom,
! [X0,X1] :
( greater(X0,X1)
| X0 = X1
| smaller(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax',meaning_postulate_greater_comparable_11) ).
fof(f12,axiom,
! [X2,X0,X1] :
( ~ organization(X0)
| has_immunity(X0,X1)
| has_immunity(X0,X2)
| ~ greater(capability(X0,X2),capability(X0,X1))
| ~ greater_or_equal(position(X0,X2),position(X0,X1))
| smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_4_38) ).
fof(f13,axiom,
! [X2,X0,X1] :
( ~ organization(X0)
| has_immunity(X0,X1)
| has_immunity(X0,X2)
| ~ greater_or_equal(capability(X0,X2),capability(X0,X1))
| ~ greater(position(X0,X2),position(X0,X1))
| smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_4_39) ).
fof(f15,axiom,
! [X2,X0,X1] :
( ~ organization(X0)
| ~ greater(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2))
| ~ smaller_or_equal(internal_friction(X0,X1),internal_friction(X0,X2))
| greater(capability(X0,X1),capability(X0,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_5_41) ).
fof(f16,axiom,
! [X2,X0,X1] :
( ~ organization(X0)
| ~ smaller_or_equal(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2))
| ~ greater(internal_friction(X0,X1),internal_friction(X0,X2))
| smaller(capability(X0,X1),capability(X0,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_5_42) ).
fof(f17,axiom,
! [X2,X0,X1] :
( ~ organization(X0)
| stock_of_knowledge(X0,X1) != stock_of_knowledge(X0,X2)
| internal_friction(X0,X1) != internal_friction(X0,X2)
| capability(X0,X1) = capability(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_5_43) ).
fof(f18,plain,
! [X2,X0,X1] :
( ~ organization(X0)
| stock_of_knowledge(X0,X1) != stock_of_knowledge(X0,X2)
| internal_friction(X0,X1) != internal_friction(X0,X2)
| capability(X0,X2) = capability(X0,X1) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,axiom,
! [X2,X0,X1] :
( ~ organization(X0)
| ~ greater(external_ties(X0,X1),external_ties(X0,X2))
| greater(position(X0,X1),position(X0,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_6_44) ).
fof(f20,axiom,
! [X2,X0,X1] :
( ~ organization(X0)
| external_ties(X0,X1) != external_ties(X0,X2)
| position(X0,X1) = position(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_6_45) ).
fof(f21,plain,
! [X2,X0,X1] :
( ~ organization(X0)
| external_ties(X0,X1) != external_ties(X0,X2)
| position(X0,X2) = position(X0,X1) ),
inference(reorient_equations,[],[f20]) ).
fof(f22,negated_conjecture,
organization(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_1_46) ).
fof(f23,negated_conjecture,
~ has_immunity(sk1,sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_1_47) ).
fof(f24,negated_conjecture,
~ has_immunity(sk1,sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_1_48) ).
fof(f25,negated_conjecture,
( greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))
| greater_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_1_49) ).
fof(f27,negated_conjecture,
( greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))
| greater(external_ties(sk1,sk3),external_ties(sk1,sk2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_1_51) ).
fof(f30,negated_conjecture,
( smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
| smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_1_54) ).
fof(f33,negated_conjecture,
( greater_or_equal(external_ties(sk1,sk3),external_ties(sk1,sk2))
| greater(external_ties(sk1,sk3),external_ties(sk1,sk2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_1_57) ).
fof(f40,negated_conjecture,
( ~ smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))
| ~ smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_1_64) ).
fof(f41,plain,
~ smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)),
inference(duplicate_literal_removal,[],[f40]) ).
fof(f42,plain,
smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2)),
inference(duplicate_literal_removal,[],[f30]) ).
fof(f44,definition,
( spl0_1
<=> greater(external_ties(sk1,sk3),external_ties(sk1,sk2)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f46,plain,
( greater(external_ties(sk1,sk3),external_ties(sk1,sk2))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f48,definition,
( spl0_2
<=> greater_or_equal(external_ties(sk1,sk3),external_ties(sk1,sk2)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f50,plain,
( greater_or_equal(external_ties(sk1,sk3),external_ties(sk1,sk2))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f51,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f33,f48,f44]) ).
fof(f53,definition,
( spl0_3
<=> smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2)) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f55,plain,
( smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f58,plain,
spl0_3,
inference(avatar_split_clause,[],[f42,f53]) ).
fof(f60,definition,
( spl0_4
<=> greater_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f62,plain,
( greater_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f66,definition,
( spl0_5
<=> greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f67,plain,
( ~ greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))
| spl0_5 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f68,plain,
( greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f69,plain,
( spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f27,f66,f44]) ).
fof(f71,plain,
( spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f25,f66,f60]) ).
fof(f72,plain,
! [X0] : smaller_or_equal(X0,X0),
inference(equality_resolution,[],[f3]) ).
fof(f75,plain,
! [X0] : greater_or_equal(X0,X0),
inference(equality_resolution,[],[f6]) ).
fof(f80,plain,
( smaller(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
| internal_friction(sk1,sk3) = internal_friction(sk1,sk2)
| ~ spl0_3 ),
inference(resolution,[],[f1,f55]) ).
fof(f83,definition,
( spl0_6
<=> internal_friction(sk1,sk3) = internal_friction(sk1,sk2) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f85,plain,
( internal_friction(sk1,sk3) = internal_friction(sk1,sk2)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f87,definition,
( spl0_7
<=> smaller(internal_friction(sk1,sk3),internal_friction(sk1,sk2)) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f89,plain,
( smaller(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f90,plain,
( spl0_6
| spl0_7
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f80,f53,f87,f83]) ).
fof(f92,plain,
( greater(external_ties(sk1,sk3),external_ties(sk1,sk2))
| external_ties(sk1,sk3) = external_ties(sk1,sk2)
| ~ spl0_2 ),
inference(resolution,[],[f4,f50]) ).
fof(f93,plain,
( greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))
| stock_of_knowledge(sk1,sk3) = stock_of_knowledge(sk1,sk2)
| ~ spl0_4 ),
inference(resolution,[],[f4,f62]) ).
fof(f96,definition,
( spl0_8
<=> external_ties(sk1,sk3) = external_ties(sk1,sk2) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f98,plain,
( external_ties(sk1,sk3) = external_ties(sk1,sk2)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f99,plain,
( spl0_8
| spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f92,f48,f44,f96]) ).
fof(f108,plain,
! [X0,X1] :
( X0 = X1
| smaller(X0,X1)
| greater_or_equal(X0,X1) ),
inference(resolution,[],[f11,f5]) ).
fof(f111,plain,
! [X0,X1] :
( greater_or_equal(X0,X1)
| smaller(X0,X1) ),
inference(forward_subsumption_resolution,[],[f108,f6]) ).
fof(f114,plain,
! [X0,X1] :
( ~ greater(external_ties(sk1,X0),external_ties(sk1,X1))
| greater(position(sk1,X0),position(sk1,X1)) ),
inference(resolution,[],[f19,f22]) ).
fof(f116,plain,
! [X0,X1] :
( external_ties(sk1,X0) != external_ties(sk1,X1)
| position(sk1,X0) = position(sk1,X1) ),
inference(resolution,[],[f21,f22]) ).
fof(f118,plain,
! [X0,X1] :
( ~ greater(stock_of_knowledge(sk1,X0),stock_of_knowledge(sk1,X1))
| ~ smaller_or_equal(internal_friction(sk1,X0),internal_friction(sk1,X1))
| greater(capability(sk1,X0),capability(sk1,X1)) ),
inference(resolution,[],[f15,f22]) ).
fof(f120,plain,
! [X0,X1] :
( ~ greater(internal_friction(sk1,X0),internal_friction(sk1,X1))
| ~ smaller_or_equal(stock_of_knowledge(sk1,X0),stock_of_knowledge(sk1,X1))
| smaller(capability(sk1,X0),capability(sk1,X1)) ),
inference(resolution,[],[f16,f22]) ).
fof(f122,plain,
! [X0,X1] :
( internal_friction(sk1,X0) != internal_friction(sk1,X1)
| stock_of_knowledge(sk1,X0) != stock_of_knowledge(sk1,X1)
| capability(sk1,X0) = capability(sk1,X1) ),
inference(resolution,[],[f18,f22]) ).
fof(f123,plain,
( greater(position(sk1,sk3),position(sk1,sk2))
| ~ spl0_1 ),
inference(resolution,[],[f114,f46]) ).
fof(f125,plain,
! [X0,X1] :
( ~ greater(capability(sk1,X1),capability(sk1,X0))
| has_immunity(sk1,X1)
| has_immunity(sk1,X0)
| ~ greater_or_equal(position(sk1,X1),position(sk1,X0))
| smaller(hazard_of_mortality(sk1,X1),hazard_of_mortality(sk1,X0)) ),
inference(resolution,[],[f12,f22]) ).
fof(f129,plain,
( greater_or_equal(position(sk1,sk3),position(sk1,sk2))
| ~ spl0_1 ),
inference(resolution,[],[f123,f5]) ).
fof(f130,plain,
! [X0,X1] :
( ~ greater(position(sk1,X1),position(sk1,X0))
| has_immunity(sk1,X1)
| ~ greater_or_equal(capability(sk1,X1),capability(sk1,X0))
| has_immunity(sk1,X0)
| smaller(hazard_of_mortality(sk1,X1),hazard_of_mortality(sk1,X0)) ),
inference(resolution,[],[f13,f22]) ).
fof(f137,plain,
( ~ smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
| greater(capability(sk1,sk3),capability(sk1,sk2))
| ~ spl0_5 ),
inference(resolution,[],[f118,f68]) ).
fof(f139,plain,
( greater(capability(sk1,sk3),capability(sk1,sk2))
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f137,f55]) ).
fof(f149,plain,
( ! [X0] :
( internal_friction(sk1,sk2) != internal_friction(sk1,X0)
| stock_of_knowledge(sk1,sk3) != stock_of_knowledge(sk1,X0)
| capability(sk1,X0) = capability(sk1,sk3) )
| ~ spl0_6 ),
inference(superposition,[],[f122,f85]) ).
fof(f153,plain,
( has_immunity(sk1,sk3)
| has_immunity(sk1,sk2)
| ~ greater_or_equal(position(sk1,sk3),position(sk1,sk2))
| smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))
| ~ spl0_3
| ~ spl0_5 ),
inference(resolution,[],[f125,f139]) ).
fof(f155,plain,
( has_immunity(sk1,sk2)
| ~ greater_or_equal(position(sk1,sk3),position(sk1,sk2))
| smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f153,f24]) ).
fof(f156,plain,
( ~ greater_or_equal(position(sk1,sk3),position(sk1,sk2))
| smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f155,f23]) ).
fof(f157,plain,
( smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f156,f129]) ).
fof(f158,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f157,f41]) ).
fof(f159,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f158]) ).
fof(f160,plain,
( stock_of_knowledge(sk1,sk3) = stock_of_knowledge(sk1,sk2)
| ~ spl0_4
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f93,f67]) ).
fof(f169,plain,
( has_immunity(sk1,sk3)
| ~ greater_or_equal(capability(sk1,sk3),capability(sk1,sk2))
| has_immunity(sk1,sk2)
| smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))
| ~ spl0_1 ),
inference(resolution,[],[f130,f123]) ).
fof(f171,plain,
( ~ greater_or_equal(capability(sk1,sk3),capability(sk1,sk2))
| has_immunity(sk1,sk2)
| smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f169,f24]) ).
fof(f172,plain,
( ~ greater_or_equal(capability(sk1,sk3),capability(sk1,sk2))
| smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f171,f23]) ).
fof(f173,plain,
( ~ greater_or_equal(capability(sk1,sk3),capability(sk1,sk2))
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f172,f41]) ).
fof(f178,plain,
( smaller(capability(sk1,sk3),capability(sk1,sk2))
| ~ spl0_1 ),
inference(resolution,[],[f111,f173]) ).
fof(f179,plain,
( greater(capability(sk1,sk2),capability(sk1,sk3))
| ~ spl0_1 ),
inference(resolution,[],[f178,f7]) ).
fof(f213,plain,
( ~ greater(capability(sk1,sk3),capability(sk1,sk2))
| ~ spl0_1 ),
inference(resolution,[],[f179,f9]) ).
fof(f254,plain,
( stock_of_knowledge(sk1,sk3) != stock_of_knowledge(sk1,sk2)
| capability(sk1,sk3) = capability(sk1,sk2)
| ~ spl0_6 ),
inference(equality_resolution,[],[f149]) ).
fof(f255,plain,
( capability(sk1,sk3) = capability(sk1,sk2)
| ~ spl0_4
| spl0_5
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f254,f160]) ).
fof(f256,plain,
( ~ greater_or_equal(capability(sk1,sk2),capability(sk1,sk2))
| ~ spl0_1
| ~ spl0_4
| spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f173,f255]) ).
fof(f268,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| spl0_5
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f256,f75]) ).
fof(f269,plain,
( ~ spl0_1
| ~ spl0_4
| spl0_5
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f268]) ).
fof(f272,plain,
( greater(internal_friction(sk1,sk2),internal_friction(sk1,sk3))
| ~ spl0_7 ),
inference(resolution,[],[f89,f7]) ).
fof(f274,plain,
( ~ smaller_or_equal(stock_of_knowledge(sk1,sk2),stock_of_knowledge(sk1,sk3))
| smaller(capability(sk1,sk2),capability(sk1,sk3))
| ~ spl0_7 ),
inference(resolution,[],[f272,f120]) ).
fof(f280,plain,
( ~ smaller_or_equal(stock_of_knowledge(sk1,sk2),stock_of_knowledge(sk1,sk2))
| smaller(capability(sk1,sk2),capability(sk1,sk3))
| ~ spl0_4
| spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f274,f160]) ).
fof(f281,plain,
( smaller(capability(sk1,sk2),capability(sk1,sk3))
| ~ spl0_4
| spl0_5
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f280,f72]) ).
fof(f288,plain,
( greater(capability(sk1,sk3),capability(sk1,sk2))
| ~ spl0_4
| spl0_5
| ~ spl0_7 ),
inference(resolution,[],[f281,f7]) ).
fof(f290,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| spl0_5
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f288,f213]) ).
fof(f291,plain,
( ~ spl0_1
| ~ spl0_4
| spl0_5
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f290]) ).
fof(f305,plain,
( ! [X0] :
( external_ties(sk1,sk2) != external_ties(sk1,X0)
| position(sk1,X0) = position(sk1,sk3) )
| ~ spl0_8 ),
inference(superposition,[],[f116,f98]) ).
fof(f310,plain,
( has_immunity(sk1,sk3)
| has_immunity(sk1,sk2)
| ~ greater_or_equal(position(sk1,sk3),position(sk1,sk2))
| smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))
| ~ spl0_3
| ~ spl0_5 ),
inference(resolution,[],[f139,f125]) ).
fof(f316,plain,
( has_immunity(sk1,sk2)
| ~ greater_or_equal(position(sk1,sk3),position(sk1,sk2))
| smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f310,f24]) ).
fof(f317,plain,
( ~ greater_or_equal(position(sk1,sk3),position(sk1,sk2))
| smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f316,f23]) ).
fof(f318,plain,
( ~ greater_or_equal(position(sk1,sk3),position(sk1,sk2))
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f317,f41]) ).
fof(f321,plain,
( position(sk1,sk3) = position(sk1,sk2)
| ~ spl0_8 ),
inference(equality_resolution,[],[f305]) ).
fof(f340,plain,
( ~ greater_or_equal(position(sk1,sk2),position(sk1,sk2))
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8 ),
inference(superposition,[],[f318,f321]) ).
fof(f353,plain,
( $false
| ~ spl0_3
| ~ spl0_5
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f340,f75]) ).
fof(f354,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f353]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f51]) ).
cnf(s4,plain,
spl0_3,
inference(sat_conversion,[],[f58]) ).
cnf(s7,plain,
( spl0_1
| spl0_5 ),
inference(sat_conversion,[],[f69]) ).
cnf(s9,plain,
( spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f71]) ).
cnf(s11,plain,
( ~ spl0_3
| spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f90]) ).
cnf(s12,plain,
( spl0_1
| ~ spl0_2
| spl0_8 ),
inference(sat_conversion,[],[f99]) ).
cnf(s13,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_5 ),
inference(sat_conversion,[],[f159]) ).
cnf(s18,plain,
( ~ spl0_1
| ~ spl0_4
| spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f269]) ).
cnf(s19,plain,
( ~ spl0_1
| ~ spl0_4
| spl0_5
| ~ spl0_7 ),
inference(sat_conversion,[],[f291]) ).
cnf(s20,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_8 ),
inference(sat_conversion,[],[f354]) ).
cnf(s21,plain,
spl0_1,
inference(rat,[],[s12,s20,s1,s7,s4]) ).
cnf(s22,plain,
~ spl0_5,
inference(rat,[],[s13,s4,s21]) ).
cnf(s23,plain,
spl0_4,
inference(rat,[],[s9,s22]) ).
cnf(s24,plain,
~ spl0_7,
inference(rat,[],[s19,s22,s21,s23]) ).
cnf(s25,plain,
~ spl0_6,
inference(rat,[],[s18,s22,s21,s23]) ).
cnf(s26,plain,
$false,
inference(rat,[],[s11,s4,s24,s25]) ).
fof(f361,plain,
$false,
inference(avatar_sat_refutation,[],[s26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT042-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n014.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 17:25:46 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 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
% 0.10/0.46 % (1042456)Will run a generic schedule for satisfiability detection.
% 0.10/0.46 % (1042461)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3747495457_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.46 % TRYING [1]
% 0.10/0.46 % TRYING [2]
% 0.10/0.46 % TRYING [3]
% 0.10/0.46 % (1042467)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3578788154:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.46 % (1042463)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=699335424:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.46 % (1042464)dis+10_1_sil=32000:sp=arity:random_seed=3709984464:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.46 % (1042465)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3782293782:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.46 % (1042466)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=974483939:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.46 % TRYING [4]
% 0.10/0.46 % (1042462)% WARNING: option uhcvi not known.
% 0.10/0.46 % (1042462)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1574616401:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.46 % (1042466) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1042456-1042466"...
% 0.10/0.46 % TRYING [5]
% 0.10/0.46 % (1042466)...printing done.
% 0.10/0.46 % (1042466)Refutation found. Thanks to Tanya!
% 0.10/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.47 % (1042466)------------------------------
% 0.10/0.47 % (1042466)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.47 % (1042466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.47 % (1042466)CaDiCaL version: 2.1.3
% 0.10/0.47 % (1042466)Termination reason: Refutation
% 0.10/0.47 % (1042466)Time elapsed: 0.013 s
% 0.10/0.47 % (1042466)Peak memory usage: 12 MB
% 0.10/0.47 % (1042466)Instructions burned: 17 (million)
% 0.10/0.47 % (1042456)Success in time 0.053 s
% 0.10/0.47 % Vampire exiting
%------------------------------------------------------------------------------