%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : MGT042+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n006.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 : Fri Sep 25 02:12:53 PM UTC 2026
% Result : Theorem 3.39s 1.20s
% Output : CNFRefutation 3.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 51
% Number of leaves : 11
% Syntax : Number of formulae : 192 ( 23 unt; 1 def)
% Number of atoms : 635 ( 128 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 690 ( 247 ~; 336 |; 86 &)
% ( 3 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 261 ( 0 sgn 252 !; 9 ?; 126 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( smaller_or_equal(X0,X1)
<=> ( X0 = X1
| smaller(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax',definition_smaller_or_equal) ).
fof(f2,axiom,
! [X0,X1] :
( greater_or_equal(X0,X1)
<=> ( X0 = X1
| greater(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax',definition_greater_or_equal) ).
fof(f3,axiom,
! [X0,X1] :
( smaller(X0,X1)
<=> greater(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax',definition_smaller) ).
fof(f4,axiom,
! [X0,X1] :
~ ( greater(X1,X0)
& greater(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax',meaning_postulate_greater_strict) ).
fof(f5,axiom,
! [X0,X1,X2] :
( ( greater(X1,X2)
& greater(X0,X1) )
=> greater(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax',meaning_postulate_greater_transitive) ).
fof(f6,axiom,
! [X0,X1] :
( greater(X0,X1)
| X0 = X1
| smaller(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax',meaning_postulate_greater_comparable) ).
fof(f7,axiom,
! [X0,X1,X2] :
( ( ~ has_immunity(X0,X2)
& ~ has_immunity(X0,X1)
& organization(X0) )
=> ( ( ( position(X0,X2) = position(X0,X1)
& capability(X0,X2) = capability(X0,X1) )
=> hazard_of_mortality(X0,X2) = hazard_of_mortality(X0,X1) )
& ( ( greater(position(X0,X2),position(X0,X1))
& greater_or_equal(capability(X0,X2),capability(X0,X1)) )
=> smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) )
& ( ( greater_or_equal(position(X0,X2),position(X0,X1))
& greater(capability(X0,X2),capability(X0,X1)) )
=> smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_4) ).
fof(f8,axiom,
! [X0,X1,X2] :
( organization(X0)
=> ( ( ( internal_friction(X0,X2) = internal_friction(X0,X1)
& stock_of_knowledge(X0,X2) = stock_of_knowledge(X0,X1) )
=> capability(X0,X2) = capability(X0,X1) )
& ( ( greater(internal_friction(X0,X2),internal_friction(X0,X1))
& smaller_or_equal(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1)) )
=> smaller(capability(X0,X2),capability(X0,X1)) )
& ( ( smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1))
& greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1)) )
=> greater(capability(X0,X2),capability(X0,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_5) ).
fof(f9,axiom,
! [X0,X1,X2] :
( organization(X0)
=> ( ( external_ties(X0,X2) = external_ties(X0,X1)
=> position(X0,X2) = position(X0,X1) )
& ( greater(external_ties(X0,X2),external_ties(X0,X1))
=> greater(position(X0,X2),position(X0,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_6) ).
fof(f10,conjecture,
! [X0,X1,X2] :
( ( ~ has_immunity(X0,X2)
& ~ has_immunity(X0,X1)
& organization(X0) )
=> ( ( ( greater(external_ties(X0,X2),external_ties(X0,X1))
& smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1))
& greater_or_equal(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1)) )
=> smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) )
& ( ( greater_or_equal(external_ties(X0,X2),external_ties(X0,X1))
& smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1))
& greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1)) )
=> smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_1) ).
fof(f11,negated_conjecture,
~ ! [X0,X1,X2] :
( ( ~ has_immunity(X0,X2)
& ~ has_immunity(X0,X1)
& organization(X0) )
=> ( ( ( greater(external_ties(X0,X2),external_ties(X0,X1))
& smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1))
& greater_or_equal(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1)) )
=> smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) )
& ( ( greater_or_equal(external_ties(X0,X2),external_ties(X0,X1))
& smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1))
& greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1)) )
=> smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) ) ) ),
inference(negated_conjecture,[status(cth)],[f10]) ).
fof(f12,plain,
? [X0,X1,X2] :
( ~ has_immunity(X0,X2)
& ~ has_immunity(X0,X1)
& organization(X0)
& ( ( greater(external_ties(X0,X2),external_ties(X0,X1))
& smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1))
& greater_or_equal(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
& ~ smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) )
| ( greater_or_equal(external_ties(X0,X2),external_ties(X0,X1))
& smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1))
& greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
& ~ smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) ) ) ),
inference(ennf_transformation,[],[f11]) ).
fof(f13,plain,
? [X0,X1,X2] :
( ~ has_immunity(X0,X2)
& ~ has_immunity(X0,X1)
& organization(X0)
& ( ( greater(external_ties(X0,X2),external_ties(X0,X1))
& smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1))
& greater_or_equal(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
& ~ smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) )
| ( greater_or_equal(external_ties(X0,X2),external_ties(X0,X1))
& smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1))
& greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
& ~ smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) ) ) ),
inference(flattening,[],[f12]) ).
fof(f14,plain,
! [X0,X1,X2] :
( ~ organization(X0)
| ( ( internal_friction(X0,X2) != internal_friction(X0,X1)
| stock_of_knowledge(X0,X2) != stock_of_knowledge(X0,X1)
| capability(X0,X2) = capability(X0,X1) )
& ( ~ greater(internal_friction(X0,X2),internal_friction(X0,X1))
| ~ smaller_or_equal(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
| smaller(capability(X0,X2),capability(X0,X1)) )
& ( ~ smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1))
| ~ greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
| greater(capability(X0,X2),capability(X0,X1)) ) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f15,plain,
! [X0,X1,X2] :
( ~ organization(X0)
| ( ( internal_friction(X0,X2) != internal_friction(X0,X1)
| stock_of_knowledge(X0,X2) != stock_of_knowledge(X0,X1)
| capability(X0,X2) = capability(X0,X1) )
& ( ~ greater(internal_friction(X0,X2),internal_friction(X0,X1))
| ~ smaller_or_equal(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
| smaller(capability(X0,X2),capability(X0,X1)) )
& ( ~ smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1))
| ~ greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
| greater(capability(X0,X2),capability(X0,X1)) ) ) ),
inference(flattening,[],[f14]) ).
fof(f16,plain,
! [X0,X1,X2] :
( has_immunity(X0,X2)
| has_immunity(X0,X1)
| ~ organization(X0)
| ( ( position(X0,X2) != position(X0,X1)
| capability(X0,X2) != capability(X0,X1)
| hazard_of_mortality(X0,X2) = hazard_of_mortality(X0,X1) )
& ( ~ greater(position(X0,X2),position(X0,X1))
| ~ greater_or_equal(capability(X0,X2),capability(X0,X1))
| smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) )
& ( ~ greater_or_equal(position(X0,X2),position(X0,X1))
| ~ greater(capability(X0,X2),capability(X0,X1))
| smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) ) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f17,plain,
! [X0,X1,X2] :
( has_immunity(X0,X2)
| has_immunity(X0,X1)
| ~ organization(X0)
| ( ( position(X0,X2) != position(X0,X1)
| capability(X0,X2) != capability(X0,X1)
| hazard_of_mortality(X0,X2) = hazard_of_mortality(X0,X1) )
& ( ~ greater(position(X0,X2),position(X0,X1))
| ~ greater_or_equal(capability(X0,X2),capability(X0,X1))
| smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) )
& ( ~ greater_or_equal(position(X0,X2),position(X0,X1))
| ~ greater(capability(X0,X2),capability(X0,X1))
| smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) ) ) ),
inference(flattening,[],[f16]) ).
fof(f18,plain,
! [X0,X1,X2] :
( ~ greater(X1,X2)
| ~ greater(X0,X1)
| greater(X0,X2) ),
inference(ennf_transformation,[],[f5]) ).
fof(f19,plain,
! [X0,X1,X2] :
( ~ greater(X1,X2)
| ~ greater(X0,X1)
| greater(X0,X2) ),
inference(flattening,[],[f18]) ).
fof(f20,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f21,plain,
! [X0,X1,X2] :
( ~ organization(X0)
| ( ( external_ties(X0,X2) != external_ties(X0,X1)
| position(X0,X2) = position(X0,X1) )
& ( ~ greater(external_ties(X0,X2),external_ties(X0,X1))
| greater(position(X0,X2),position(X0,X1)) ) ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f26,plain,
( ~ has_immunity(sK1,sK3)
& ~ has_immunity(sK1,sK2)
& organization(sK1)
& ( sP0(sK2,sK1,sK3)
| ( greater_or_equal(external_ties(sK1,sK3),external_ties(sK1,sK2))
& smaller_or_equal(internal_friction(sK1,sK3),internal_friction(sK1,sK2))
& greater(stock_of_knowledge(sK1,sK3),stock_of_knowledge(sK1,sK2))
& ~ smaller(hazard_of_mortality(sK1,sK3),hazard_of_mortality(sK1,sK2)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3)],[f23]) ).
fof(f27,plain,
! [X0,X1] :
( ( ~ smaller_or_equal(X0,X1)
| X0 = X1
| smaller(X0,X1) )
& ( ( X0 != X1
& ~ smaller(X0,X1) )
| smaller_or_equal(X0,X1) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f28,plain,
! [X0,X1] :
( ( ~ smaller_or_equal(X0,X1)
| X0 = X1
| smaller(X0,X1) )
& ( ( X0 != X1
& ~ smaller(X0,X1) )
| smaller_or_equal(X0,X1) ) ),
inference(flattening,[],[f27]) ).
fof(f29,plain,
! [X0,X1] :
( ( ~ smaller(X0,X1)
| greater(X1,X0) )
& ( ~ greater(X1,X0)
| smaller(X0,X1) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f30,plain,
! [X0,X1] :
( ( ~ greater_or_equal(X0,X1)
| X0 = X1
| greater(X0,X1) )
& ( ( X0 != X1
& ~ greater(X0,X1) )
| greater_or_equal(X0,X1) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f31,plain,
! [X0,X1] :
( ( ~ greater_or_equal(X0,X1)
| X0 = X1
| greater(X0,X1) )
& ( ( X0 != X1
& ~ greater(X0,X1) )
| greater_or_equal(X0,X1) ) ),
inference(flattening,[],[f30]) ).
fof(f36,plain,
~ has_immunity(sK1,sK3),
inference(cnf_transformation,[],[f26]) ).
fof(f37,plain,
~ has_immunity(sK1,sK2),
inference(cnf_transformation,[],[f26]) ).
fof(f38,plain,
organization(sK1),
inference(cnf_transformation,[],[f26]) ).
fof(f39,plain,
( sP0(sK2,sK1,sK3)
| greater_or_equal(external_ties(sK1,sK3),external_ties(sK1,sK2)) ),
inference(cnf_transformation,[],[f26]) ).
fof(f40,plain,
( sP0(sK2,sK1,sK3)
| smaller_or_equal(internal_friction(sK1,sK3),internal_friction(sK1,sK2)) ),
inference(cnf_transformation,[],[f26]) ).
fof(f41,plain,
( sP0(sK2,sK1,sK3)
| greater(stock_of_knowledge(sK1,sK3),stock_of_knowledge(sK1,sK2)) ),
inference(cnf_transformation,[],[f26]) ).
fof(f42,plain,
( sP0(sK2,sK1,sK3)
| ~ smaller(hazard_of_mortality(sK1,sK3),hazard_of_mortality(sK1,sK2)) ),
inference(cnf_transformation,[],[f26]) ).
fof(f43,plain,
! [X2,X0,X1] :
( ~ organization(X0)
| internal_friction(X0,X2) != internal_friction(X0,X1)
| stock_of_knowledge(X0,X2) != stock_of_knowledge(X0,X1)
| capability(X0,X2) = capability(X0,X1) ),
inference(cnf_transformation,[],[f15]) ).
fof(f44,plain,
! [X2,X0,X1] :
( ~ organization(X0)
| ~ greater(internal_friction(X0,X2),internal_friction(X0,X1))
| ~ smaller_or_equal(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
| smaller(capability(X0,X2),capability(X0,X1)) ),
inference(cnf_transformation,[],[f15]) ).
fof(f45,plain,
! [X2,X0,X1] :
( ~ organization(X0)
| ~ smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1))
| ~ greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
| greater(capability(X0,X2),capability(X0,X1)) ),
inference(cnf_transformation,[],[f15]) ).
fof(f46,plain,
! [X0,X1] :
( ~ smaller_or_equal(X0,X1)
| X0 = X1
| smaller(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f47,plain,
! [X0,X1] :
( X0 != X1
| smaller_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f49,plain,
! [X0,X1] :
( greater(X0,X1)
| X0 = X1
| smaller(X0,X1) ),
inference(cnf_transformation,[],[f6]) ).
fof(f50,plain,
! [X0,X1] :
( ~ smaller(X0,X1)
| greater(X1,X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f51,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| smaller(X0,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f53,plain,
! [X2,X0,X1] :
( has_immunity(X0,X2)
| has_immunity(X0,X1)
| ~ organization(X0)
| ~ greater(position(X0,X2),position(X0,X1))
| ~ greater_or_equal(capability(X0,X2),capability(X0,X1))
| smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) ),
inference(cnf_transformation,[],[f17]) ).
fof(f54,plain,
! [X2,X0,X1] :
( has_immunity(X0,X2)
| has_immunity(X0,X1)
| ~ organization(X0)
| ~ greater_or_equal(position(X0,X2),position(X0,X1))
| ~ greater(capability(X0,X2),capability(X0,X1))
| smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) ),
inference(cnf_transformation,[],[f17]) ).
fof(f55,plain,
! [X0,X1] :
( ~ greater_or_equal(X0,X1)
| X0 = X1
| greater(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f56,plain,
! [X0,X1] :
( X0 != X1
| greater_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f57,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| greater_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f58,plain,
! [X2,X0,X1] :
( ~ greater(X1,X2)
| ~ greater(X0,X1)
| greater(X0,X2) ),
inference(cnf_transformation,[],[f19]) ).
fof(f59,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f20]) ).
fof(f60,plain,
! [X2,X0,X1] :
( ~ organization(X0)
| external_ties(X0,X2) != external_ties(X0,X1)
| position(X0,X2) = position(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f61,plain,
! [X2,X0,X1] :
( ~ organization(X0)
| ~ greater(external_ties(X0,X2),external_ties(X0,X1))
| greater(position(X0,X2),position(X0,X1)) ),
inference(cnf_transformation,[],[f21]) ).
fof(f62,plain,
! [X1] : smaller_or_equal(X1,X1),
inference(equality_resolution,[],[f47]) ).
fof(f63,plain,
! [X1] : greater_or_equal(X1,X1),
inference(equality_resolution,[],[f56]) ).
tcf(c_53,negated_conjecture,
( sP0(sK2,sK1,sK3)
| ~ smaller(hazard_of_mortality(sK1,sK3),hazard_of_mortality(sK1,sK2)) ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_54,negated_conjecture,
( sP0(sK2,sK1,sK3)
| greater(stock_of_knowledge(sK1,sK3),stock_of_knowledge(sK1,sK2)) ),
inference(cnf_transformation,[],[f41]) ).
tcf(c_55,negated_conjecture,
( sP0(sK2,sK1,sK3)
| smaller_or_equal(internal_friction(sK1,sK3),internal_friction(sK1,sK2)) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_56,negated_conjecture,
( sP0(sK2,sK1,sK3)
| greater_or_equal(external_ties(sK1,sK3),external_ties(sK1,sK2)) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_57,negated_conjecture,
organization(sK1),
inference(cnf_transformation,[],[f38]) ).
tcf(c_58,negated_conjecture,
~ has_immunity(sK1,sK2),
inference(cnf_transformation,[],[f37]) ).
tcf(c_59,negated_conjecture,
~ has_immunity(sK1,sK3),
inference(cnf_transformation,[],[f36]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i,X2: $i] :
( greater(capability(X0,X1),capability(X0,X2))
| ~ organization(X0)
| ~ greater(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2))
| ~ smaller_or_equal(internal_friction(X0,X1),internal_friction(X0,X2)) ),
inference(cnf_transformation,[],[f45]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i] :
( smaller(capability(X0,X1),capability(X0,X2))
| ~ organization(X0)
| ~ greater(internal_friction(X0,X1),internal_friction(X0,X2))
| ~ smaller_or_equal(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2)) ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( capability(X0,X1) = capability(X0,X2) )
| ~ organization(X0)
| ( internal_friction(X0,X1) != internal_friction(X0,X2) )
| ( stock_of_knowledge(X0,X1) != stock_of_knowledge(X0,X2) ) ),
inference(cnf_transformation,[],[f43]) ).
tcf(c_64,plain,
! [X0: $i] : smaller_or_equal(X0,X0),
inference(cnf_transformation,[],[f62]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i] :
( smaller(X0,X1)
| ( X0 = X1 )
| ~ smaller_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i] :
( greater(X0,X1)
| smaller(X0,X1)
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f49]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i] :
( smaller(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f51]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i] :
( greater(X1,X0)
| ~ smaller(X0,X1) ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i] :
( has_immunity(X0,X2)
| has_immunity(X0,X1)
| smaller(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2))
| ~ organization(X0)
| ~ greater(capability(X0,X1),capability(X0,X2))
| ~ greater_or_equal(position(X0,X1),position(X0,X2)) ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i,X2: $i] :
( has_immunity(X0,X2)
| has_immunity(X0,X1)
| smaller(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2))
| ~ organization(X0)
| ~ greater(position(X0,X1),position(X0,X2))
| ~ greater_or_equal(capability(X0,X1),capability(X0,X2)) ),
inference(cnf_transformation,[],[f53]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i] :
( greater_or_equal(X0,X1)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f57]) ).
tcf(c_73,plain,
! [X0: $i] : greater_or_equal(X0,X0),
inference(cnf_transformation,[],[f63]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i] :
( greater(X0,X1)
| ( X0 = X1 )
| ~ greater_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f55]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i,X2: $i] :
( greater(X2,X1)
| ~ greater(X2,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i,X2: $i] :
( greater(position(X0,X1),position(X0,X2))
| ~ organization(X0)
| ~ greater(external_ties(X0,X1),external_ties(X0,X2)) ),
inference(cnf_transformation,[],[f61]) ).
tcf(c_78,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( position(X0,X1) = position(X0,X2) )
| ~ organization(X0)
| ( external_ties(X0,X1) != external_ties(X0,X2) ) ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_585,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( position(X0,X1) = position(X0,X2) )
| ( X0 != sK1 )
| ( external_ties(X0,X1) != external_ties(X0,X2) ) ),
inference(resolution_lifted,[status(thm)],[c_57,c_78]) ).
tcf(c_586,plain,
! [X0: $i,X1: $i] :
( ( position(sK1,X0) = position(sK1,X1) )
| ( external_ties(sK1,X0) != external_ties(sK1,X1) ) ),
inference(unflattening,[status(thm)],[c_585]) ).
tcf(c_594,plain,
! [X0: $i,X1: $i,X2: $i] :
( greater(position(X0,X1),position(X0,X2))
| ~ greater(external_ties(X0,X1),external_ties(X0,X2))
| ( X0 != sK1 ) ),
inference(resolution_lifted,[status(thm)],[c_57,c_77]) ).
tcf(c_595,plain,
! [X0: $i,X1: $i] :
( greater(position(sK1,X0),position(sK1,X1))
| ~ greater(external_ties(sK1,X0),external_ties(sK1,X1)) ),
inference(unflattening,[status(thm)],[c_594]) ).
tcf(c_621,plain,
! [X0: $i,X1: $i,X2: $i] :
( has_immunity(X0,X2)
| has_immunity(X0,X1)
| smaller(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2))
| ~ greater(position(X0,X1),position(X0,X2))
| ~ greater_or_equal(capability(X0,X1),capability(X0,X2))
| ( X0 != sK1 ) ),
inference(resolution_lifted,[status(thm)],[c_57,c_70]) ).
tcf(c_622,plain,
! [X0: $i,X1: $i] :
( has_immunity(sK1,X1)
| has_immunity(sK1,X0)
| smaller(hazard_of_mortality(sK1,X0),hazard_of_mortality(sK1,X1))
| ~ greater(position(sK1,X0),position(sK1,X1))
| ~ greater_or_equal(capability(sK1,X0),capability(sK1,X1)) ),
inference(unflattening,[status(thm)],[c_621]) ).
tcf(c_639,plain,
! [X0: $i,X1: $i,X2: $i] :
( has_immunity(X0,X2)
| has_immunity(X0,X1)
| smaller(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2))
| ~ greater(capability(X0,X1),capability(X0,X2))
| ~ greater_or_equal(position(X0,X1),position(X0,X2))
| ( X0 != sK1 ) ),
inference(resolution_lifted,[status(thm)],[c_57,c_69]) ).
tcf(c_640,plain,
! [X0: $i,X1: $i] :
( has_immunity(sK1,X1)
| has_immunity(sK1,X0)
| smaller(hazard_of_mortality(sK1,X0),hazard_of_mortality(sK1,X1))
| ~ greater(capability(sK1,X0),capability(sK1,X1))
| ~ greater_or_equal(position(sK1,X0),position(sK1,X1)) ),
inference(unflattening,[status(thm)],[c_639]) ).
tcf(c_657,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( capability(X0,X1) = capability(X0,X2) )
| ( X0 != sK1 )
| ( internal_friction(X0,X1) != internal_friction(X0,X2) )
| ( stock_of_knowledge(X0,X1) != stock_of_knowledge(X0,X2) ) ),
inference(resolution_lifted,[status(thm)],[c_57,c_62]) ).
tcf(c_658,plain,
! [X0: $i,X1: $i] :
( ( capability(sK1,X0) = capability(sK1,X1) )
| ( internal_friction(sK1,X0) != internal_friction(sK1,X1) )
| ( stock_of_knowledge(sK1,X0) != stock_of_knowledge(sK1,X1) ) ),
inference(unflattening,[status(thm)],[c_657]) ).
tcf(c_669,plain,
! [X0: $i,X1: $i,X2: $i] :
( smaller(capability(X0,X1),capability(X0,X2))
| ~ greater(internal_friction(X0,X1),internal_friction(X0,X2))
| ~ smaller_or_equal(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2))
| ( X0 != sK1 ) ),
inference(resolution_lifted,[status(thm)],[c_57,c_61]) ).
tcf(c_670,plain,
! [X0: $i,X1: $i] :
( smaller(capability(sK1,X0),capability(sK1,X1))
| ~ greater(internal_friction(sK1,X0),internal_friction(sK1,X1))
| ~ smaller_or_equal(stock_of_knowledge(sK1,X0),stock_of_knowledge(sK1,X1)) ),
inference(unflattening,[status(thm)],[c_669]) ).
tcf(c_681,plain,
! [X0: $i,X1: $i,X2: $i] :
( greater(capability(X0,X1),capability(X0,X2))
| ~ greater(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2))
| ~ smaller_or_equal(internal_friction(X0,X1),internal_friction(X0,X2))
| ( X0 != sK1 ) ),
inference(resolution_lifted,[status(thm)],[c_57,c_60]) ).
tcf(c_682,plain,
! [X0: $i,X1: $i] :
( greater(capability(sK1,X0),capability(sK1,X1))
| ~ greater(stock_of_knowledge(sK1,X0),stock_of_knowledge(sK1,X1))
| ~ smaller_or_equal(internal_friction(sK1,X0),internal_friction(sK1,X1)) ),
inference(unflattening,[status(thm)],[c_681]) ).
tcf(c_2584,plain,
! [X0: $i] :
( greater(capability(sK1,X0),capability(sK1,X0))
| ~ greater(stock_of_knowledge(sK1,X0),stock_of_knowledge(sK1,X0)) ),
inference(superposition,[status(thm)],[c_64,c_682]) ).
tcf(c_2673,plain,
! [X0: $i,X1: $i] :
( greater(X1,X0)
| greater(X0,X1)
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_66,c_68]) ).
tcf(c_2931,plain,
! [X0: $i] : greater_or_equal(position(sK1,X0),position(sK1,X0)),
inference(instantiation,[status(thm)],[c_73]) ).
tcf(c_3160,plain,
( greater(position(sK1,sK3),position(sK1,sK2))
| ~ greater(external_ties(sK1,sK3),external_ties(sK1,sK2)) ),
inference(instantiation,[status(thm)],[c_595]) ).
tcf(c_4028,plain,
! [X0: $i] :
( greater(X0,external_ties(sK1,sK2))
| ~ smaller(external_ties(sK1,sK2),X0) ),
inference(instantiation,[status(thm)],[c_68]) ).
tcf(c_5349,plain,
! [X0: $i] :
( has_immunity(sK1,sK2)
| has_immunity(sK1,X0)
| smaller(hazard_of_mortality(sK1,X0),hazard_of_mortality(sK1,sK2))
| ~ greater(capability(sK1,X0),capability(sK1,sK2))
| ~ greater_or_equal(position(sK1,X0),position(sK1,sK2)) ),
inference(instantiation,[status(thm)],[c_640]) ).
tcf(c_6586,plain,
( has_immunity(sK1,sK2)
| smaller(hazard_of_mortality(sK1,sK2),hazard_of_mortality(sK1,sK2))
| ~ greater(capability(sK1,sK2),capability(sK1,sK2))
| ~ greater_or_equal(position(sK1,sK2),position(sK1,sK2)) ),
inference(instantiation,[status(thm)],[c_5349]) ).
tcf(c_6587,plain,
greater_or_equal(position(sK1,sK2),position(sK1,sK2)),
inference(instantiation,[status(thm)],[c_2931]) ).
fof(f22,definition,
! [X1,X0,X2] :
( ~ sP0(X1,X0,X2)
| ( greater(external_ties(X0,X2),external_ties(X0,X1))
& smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1))
& greater_or_equal(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
& ~ smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f23,plain,
? [X0,X1,X2] :
( ~ has_immunity(X0,X2)
& ~ has_immunity(X0,X1)
& organization(X0)
& ( sP0(X1,X0,X2)
| ( greater_or_equal(external_ties(X0,X2),external_ties(X0,X1))
& smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1))
& greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
& ~ smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) ) ) ),
inference(definition_folding,[],[f13,f22]) ).
fof(f24,plain,
! [X1,X0,X2] :
( ~ sP0(X1,X0,X2)
| ( greater(external_ties(X0,X2),external_ties(X0,X1))
& smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1))
& greater_or_equal(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
& ~ smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) ) ),
inference(nnf_transformation,[],[f22]) ).
fof(f25,plain,
! [X0,X1,X2] :
( ~ sP0(X0,X1,X2)
| ( greater(external_ties(X1,X2),external_ties(X1,X0))
& smaller_or_equal(internal_friction(X1,X2),internal_friction(X1,X0))
& greater_or_equal(stock_of_knowledge(X1,X2),stock_of_knowledge(X1,X0))
& ~ smaller(hazard_of_mortality(X1,X2),hazard_of_mortality(X1,X0)) ) ),
inference(rectify,[],[f24]) ).
fof(f32,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| greater(external_ties(X1,X2),external_ties(X1,X0)) ),
inference(cnf_transformation,[],[f25]) ).
fof(f33,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| smaller_or_equal(internal_friction(X1,X2),internal_friction(X1,X0)) ),
inference(cnf_transformation,[],[f25]) ).
fof(f34,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| greater_or_equal(stock_of_knowledge(X1,X2),stock_of_knowledge(X1,X0)) ),
inference(cnf_transformation,[],[f25]) ).
fof(f35,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| ~ smaller(hazard_of_mortality(X1,X2),hazard_of_mortality(X1,X0)) ),
inference(cnf_transformation,[],[f25]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ sP0(X2,X0,X1)
| ~ smaller(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2)) ),
inference(cnf_transformation,[],[f35]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i,X2: $i] :
( greater_or_equal(stock_of_knowledge(X1,X2),stock_of_knowledge(X1,X0))
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i,X2: $i] :
( smaller_or_equal(internal_friction(X1,X2),internal_friction(X1,X0))
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f33]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i,X2: $i] :
( greater(external_ties(X1,X2),external_ties(X1,X0))
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_135,plain,
smaller_or_equal(internal_friction(sK1,sK3),internal_friction(sK1,sK2)),
inference(forward_subsumption_resolution,[status(thm)],[c_55,c_51]) ).
tcf(c_157,plain,
~ smaller(hazard_of_mortality(sK1,sK3),hazard_of_mortality(sK1,sK2)),
inference(forward_subsumption_resolution,[status(thm)],[c_53,c_49]) ).
tcf(c_417,plain,
! [X0: $i,X1: $i,X2: $i] :
( greater_or_equal(external_ties(sK1,sK3),external_ties(sK1,sK2))
| greater(external_ties(X1,X2),external_ties(X1,X0))
| ( X2 != sK3 )
| ( X1 != sK1 )
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_52,c_56]) ).
tcf(c_418,plain,
( greater(external_ties(sK1,sK3),external_ties(sK1,sK2))
| greater_or_equal(external_ties(sK1,sK3),external_ties(sK1,sK2)) ),
inference(unflattening,[status(thm)],[c_417]) ).
tcf(c_423,plain,
greater_or_equal(external_ties(sK1,sK3),external_ties(sK1,sK2)),
inference(forward_subsumption_resolution,[status(thm)],[c_418,c_72]) ).
tcf(c_425,plain,
! [X0: $i,X1: $i,X2: $i] :
( greater(stock_of_knowledge(sK1,sK3),stock_of_knowledge(sK1,sK2))
| greater(external_ties(X1,X2),external_ties(X1,X0))
| ( X2 != sK3 )
| ( X1 != sK1 )
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_52,c_54]) ).
tcf(c_426,plain,
( greater(external_ties(sK1,sK3),external_ties(sK1,sK2))
| greater(stock_of_knowledge(sK1,sK3),stock_of_knowledge(sK1,sK2)) ),
inference(unflattening,[status(thm)],[c_425]) ).
tcf(c_439,plain,
! [X0: $i,X1: $i,X2: $i] :
( greater(stock_of_knowledge(sK1,sK3),stock_of_knowledge(sK1,sK2))
| greater_or_equal(stock_of_knowledge(X1,X2),stock_of_knowledge(X1,X0))
| ( X2 != sK3 )
| ( X1 != sK1 )
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_50,c_54]) ).
tcf(c_440,plain,
( greater(stock_of_knowledge(sK1,sK3),stock_of_knowledge(sK1,sK2))
| greater_or_equal(stock_of_knowledge(sK1,sK3),stock_of_knowledge(sK1,sK2)) ),
inference(unflattening,[status(thm)],[c_439]) ).
tcf(c_445,plain,
greater_or_equal(stock_of_knowledge(sK1,sK3),stock_of_knowledge(sK1,sK2)),
inference(forward_subsumption_resolution,[status(thm)],[c_440,c_72]) ).
tcf(c_2532,plain,
( greater(position(sK1,sK3),position(sK1,sK2))
| greater(stock_of_knowledge(sK1,sK3),stock_of_knowledge(sK1,sK2)) ),
inference(superposition,[status(thm)],[c_426,c_595]) ).
tcf(c_2574,plain,
( greater(stock_of_knowledge(sK1,sK3),stock_of_knowledge(sK1,sK2))
| ~ greater(external_ties(sK1,sK2),external_ties(sK1,sK3)) ),
inference(superposition,[status(thm)],[c_426,c_76]) ).
tcf(c_2583,plain,
( greater(capability(sK1,sK3),capability(sK1,sK2))
| ~ greater(stock_of_knowledge(sK1,sK3),stock_of_knowledge(sK1,sK2)) ),
inference(superposition,[status(thm)],[c_135,c_682]) ).
tcf(c_2689,plain,
( smaller(internal_friction(sK1,sK3),internal_friction(sK1,sK2))
| ( internal_friction(sK1,sK3) = internal_friction(sK1,sK2) ) ),
inference(superposition,[status(thm)],[c_135,c_65]) ).
tcf(c_2699,plain,
( greater(external_ties(sK1,sK3),external_ties(sK1,sK2))
| ( external_ties(sK1,sK3) = external_ties(sK1,sK2) ) ),
inference(superposition,[status(thm)],[c_423,c_74]) ).
tcf(c_2701,plain,
( greater(stock_of_knowledge(sK1,sK3),stock_of_knowledge(sK1,sK2))
| ( stock_of_knowledge(sK1,sK3) = stock_of_knowledge(sK1,sK2) ) ),
inference(superposition,[status(thm)],[c_445,c_74]) ).
tcf(c_2712,plain,
! [X0: $i] :
( greater(X0,external_ties(sK1,sK2))
| greater(stock_of_knowledge(sK1,sK3),stock_of_knowledge(sK1,sK2))
| ~ greater(X0,external_ties(sK1,sK3)) ),
inference(superposition,[status(thm)],[c_426,c_75]) ).
tcf(c_2713,plain,
! [X0: $i] :
( greater(X0,position(sK1,sK2))
| greater(stock_of_knowledge(sK1,sK3),stock_of_knowledge(sK1,sK2))
| ~ greater(X0,position(sK1,sK3)) ),
inference(superposition,[status(thm)],[c_2532,c_75]) ).
tcf(c_2859,plain,
( greater(internal_friction(sK1,sK2),internal_friction(sK1,sK3))
| ( internal_friction(sK1,sK3) = internal_friction(sK1,sK2) ) ),
inference(superposition,[status(thm)],[c_2689,c_68]) ).
tcf(c_2880,plain,
! [X0: $i] :
( smaller(external_ties(sK1,sK2),X0)
| greater(stock_of_knowledge(sK1,sK3),stock_of_knowledge(sK1,sK2))
| ~ greater(X0,external_ties(sK1,sK3)) ),
inference(superposition,[status(thm)],[c_2712,c_67]) ).
tcf(c_2886,plain,
! [X0: $i] :
( greater(X0,external_ties(sK1,sK2))
| smaller(stock_of_knowledge(sK1,sK2),stock_of_knowledge(sK1,sK3))
| ~ greater(X0,external_ties(sK1,sK3)) ),
inference(superposition,[status(thm)],[c_2712,c_67]) ).
tcf(c_3138,plain,
( greater(position(sK1,sK3),position(sK1,sK2))
| ( external_ties(sK1,sK3) = external_ties(sK1,sK2) ) ),
inference(superposition,[status(thm)],[c_2699,c_595]) ).
tcf(c_3174,plain,
( greater_or_equal(position(sK1,sK3),position(sK1,sK2))
| ( external_ties(sK1,sK3) = external_ties(sK1,sK2) ) ),
inference(superposition,[status(thm)],[c_3138,c_72]) ).
tcf(c_3176,plain,
( has_immunity(sK1,sK2)
| has_immunity(sK1,sK3)
| smaller(hazard_of_mortality(sK1,sK3),hazard_of_mortality(sK1,sK2))
| ( external_ties(sK1,sK3) = external_ties(sK1,sK2) )
| ~ greater_or_equal(capability(sK1,sK3),capability(sK1,sK2)) ),
inference(superposition,[status(thm)],[c_3138,c_622]) ).
tcf(c_3190,plain,
( ( external_ties(sK1,sK3) = external_ties(sK1,sK2) )
| ~ greater_or_equal(capability(sK1,sK3),capability(sK1,sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3176,c_58,c_59,c_157]) ).
tcf(c_3731,plain,
( greater(capability(sK1,sK3),capability(sK1,sK2))
| ( stock_of_knowledge(sK1,sK3) = stock_of_knowledge(sK1,sK2) ) ),
inference(superposition,[status(thm)],[c_2701,c_2583]) ).
tcf(c_3842,plain,
( has_immunity(sK1,sK2)
| has_immunity(sK1,sK3)
| smaller(hazard_of_mortality(sK1,sK3),hazard_of_mortality(sK1,sK2))
| ( external_ties(sK1,sK3) = external_ties(sK1,sK2) )
| ~ greater(capability(sK1,sK3),capability(sK1,sK2)) ),
inference(superposition,[status(thm)],[c_3174,c_640]) ).
tcf(c_3846,plain,
( ( external_ties(sK1,sK3) = external_ties(sK1,sK2) )
| ~ greater(capability(sK1,sK3),capability(sK1,sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3842,c_58,c_59,c_157]) ).
tcf(c_3913,plain,
( ( external_ties(sK1,sK3) = external_ties(sK1,sK2) )
| ( stock_of_knowledge(sK1,sK3) = stock_of_knowledge(sK1,sK2) ) ),
inference(superposition,[status(thm)],[c_3731,c_3846]) ).
tcf(c_3995,plain,
! [X0: $i] :
( ( stock_of_knowledge(sK1,sK3) = stock_of_knowledge(sK1,sK2) )
| ( position(sK1,X0) = position(sK1,sK2) )
| ( external_ties(sK1,X0) != external_ties(sK1,sK3) ) ),
inference(superposition,[status(thm)],[c_3913,c_586]) ).
tcf(c_4196,plain,
( ( position(sK1,sK3) = position(sK1,sK2) )
| ( stock_of_knowledge(sK1,sK3) = stock_of_knowledge(sK1,sK2) ) ),
inference(equality_resolution,[status(thm)],[c_3995]) ).
tcf(c_4943,plain,
! [X0: $i] :
( has_immunity(sK1,sK2)
| has_immunity(sK1,X0)
| smaller(hazard_of_mortality(sK1,X0),hazard_of_mortality(sK1,sK2))
| ( stock_of_knowledge(sK1,sK3) = stock_of_knowledge(sK1,sK2) )
| ~ greater(capability(sK1,X0),capability(sK1,sK2))
| ~ greater_or_equal(position(sK1,X0),position(sK1,sK3)) ),
inference(superposition,[status(thm)],[c_4196,c_640]) ).
tcf(c_5016,plain,
! [X0: $i] :
( has_immunity(sK1,X0)
| smaller(hazard_of_mortality(sK1,X0),hazard_of_mortality(sK1,sK2))
| ( stock_of_knowledge(sK1,sK3) = stock_of_knowledge(sK1,sK2) )
| ~ greater(capability(sK1,X0),capability(sK1,sK2))
| ~ greater_or_equal(position(sK1,X0),position(sK1,sK3)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4943,c_58]) ).
tcf(c_5285,plain,
( has_immunity(sK1,sK3)
| smaller(hazard_of_mortality(sK1,sK3),hazard_of_mortality(sK1,sK2))
| ( stock_of_knowledge(sK1,sK3) = stock_of_knowledge(sK1,sK2) )
| ~ greater(capability(sK1,sK3),capability(sK1,sK2)) ),
inference(superposition,[status(thm)],[c_73,c_5016]) ).
tcf(c_5288,plain,
( ( stock_of_knowledge(sK1,sK3) = stock_of_knowledge(sK1,sK2) )
| ~ greater(capability(sK1,sK3),capability(sK1,sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5285,c_59,c_157]) ).
tcf(c_5354,plain,
stock_of_knowledge(sK1,sK3) = stock_of_knowledge(sK1,sK2),
inference(global_subsumption_just,[status(thm)],[c_5288,c_3731,c_5288]) ).
tcf(c_5378,plain,
! [X0: $i] :
( greater(X0,position(sK1,sK2))
| greater(stock_of_knowledge(sK1,sK3),stock_of_knowledge(sK1,sK3))
| ~ greater(X0,position(sK1,sK3)) ),
inference(demodulation,[status(thm)],[c_2713,c_5354]) ).
tcf(c_5390,plain,
( greater(stock_of_knowledge(sK1,sK3),stock_of_knowledge(sK1,sK3))
| ~ greater(external_ties(sK1,sK2),external_ties(sK1,sK3)) ),
inference(demodulation,[status(thm)],[c_2574,c_5354]) ).
tcf(c_5395,plain,
( greater(external_ties(sK1,sK3),external_ties(sK1,sK2))
| greater(stock_of_knowledge(sK1,sK3),stock_of_knowledge(sK1,sK3)) ),
inference(demodulation,[status(thm)],[c_426,c_5354]) ).
tcf(c_5498,plain,
( greater(capability(sK1,sK2),capability(sK1,sK2))
| ~ greater(stock_of_knowledge(sK1,sK3),stock_of_knowledge(sK1,sK3)) ),
inference(superposition,[status(thm)],[c_5354,c_2584]) ).
tcf(c_5499,plain,
! [X0: $i] :
( ( capability(sK1,X0) = capability(sK1,sK2) )
| ( internal_friction(sK1,X0) != internal_friction(sK1,sK2) )
| ( stock_of_knowledge(sK1,X0) != stock_of_knowledge(sK1,sK3) ) ),
inference(superposition,[status(thm)],[c_5354,c_658]) ).
tcf(c_5500,plain,
! [X0: $i] :
( smaller(capability(sK1,sK2),capability(sK1,X0))
| ~ greater(internal_friction(sK1,sK2),internal_friction(sK1,X0))
| ~ smaller_or_equal(stock_of_knowledge(sK1,sK3),stock_of_knowledge(sK1,X0)) ),
inference(superposition,[status(thm)],[c_5354,c_670]) ).
tcf(c_5626,plain,
! [X0: $i] :
( smaller(external_ties(sK1,sK2),X0)
| greater(stock_of_knowledge(sK1,sK3),stock_of_knowledge(sK1,sK3))
| ~ greater(X0,external_ties(sK1,sK3)) ),
inference(light_normalisation,[status(thm)],[c_2880,c_5354]) ).
tcf(c_5640,plain,
! [X0: $i] :
( smaller(external_ties(sK1,sK2),X0)
| ~ greater(X0,external_ties(sK1,sK3))
| ~ greater(stock_of_knowledge(sK1,sK3),stock_of_knowledge(sK1,sK3)) ),
inference(superposition,[status(thm)],[c_5626,c_76]) ).
tcf(c_5665,plain,
! [X0: $i] :
( smaller(external_ties(sK1,sK2),X0)
| ~ greater(X0,external_ties(sK1,sK3)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_5626,c_5640]) ).
tcf(c_5688,plain,
! [X0: $i] :
( greater(X0,external_ties(sK1,sK2))
| ~ greater(X0,external_ties(sK1,sK3)) ),
inference(global_subsumption_just,[status(thm)],[c_2886,c_4028,c_5665]) ).
tcf(c_5695,plain,
! [X0: $i] :
( greater(X0,external_ties(sK1,sK2))
| greater(external_ties(sK1,sK3),X0)
| ( external_ties(sK1,sK3) = X0 ) ),
inference(superposition,[status(thm)],[c_2673,c_5688]) ).
tcf(c_5795,plain,
! [X0: $i] :
( greater(external_ties(sK1,sK3),external_ties(sK1,X0))
| greater(position(sK1,X0),position(sK1,sK2))
| ( external_ties(sK1,X0) = external_ties(sK1,sK3) ) ),
inference(superposition,[status(thm)],[c_5695,c_595]) ).
tcf(c_5950,plain,
! [X0: $i] :
( greater(X0,position(sK1,sK2))
| ~ greater(X0,position(sK1,sK3))
| ~ greater(stock_of_knowledge(sK1,sK3),stock_of_knowledge(sK1,sK3)) ),
inference(superposition,[status(thm)],[c_5378,c_76]) ).
tcf(c_5972,plain,
! [X0: $i] :
( greater(X0,position(sK1,sK2))
| ~ greater(X0,position(sK1,sK3)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_5378,c_5950]) ).
tcf(c_6083,plain,
! [X0: $i] :
( greater(X0,position(sK1,sK2))
| greater(position(sK1,sK3),X0)
| ( position(sK1,sK3) = X0 ) ),
inference(superposition,[status(thm)],[c_2673,c_5972]) ).
tcf(c_6344,plain,
! [X0: $i] :
( has_immunity(sK1,sK2)
| has_immunity(sK1,X0)
| greater(external_ties(sK1,sK3),external_ties(sK1,X0))
| smaller(hazard_of_mortality(sK1,X0),hazard_of_mortality(sK1,sK2))
| ( external_ties(sK1,X0) = external_ties(sK1,sK3) )
| ~ greater_or_equal(capability(sK1,X0),capability(sK1,sK2)) ),
inference(superposition,[status(thm)],[c_5795,c_622]) ).
tcf(c_6378,plain,
! [X0: $i] :
( has_immunity(sK1,X0)
| greater(external_ties(sK1,sK3),external_ties(sK1,X0))
| smaller(hazard_of_mortality(sK1,X0),hazard_of_mortality(sK1,sK2))
| ( external_ties(sK1,X0) = external_ties(sK1,sK3) )
| ~ greater_or_equal(capability(sK1,X0),capability(sK1,sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6344,c_58]) ).
tcf(c_6422,plain,
( has_immunity(sK1,sK2)
| greater(external_ties(sK1,sK3),external_ties(sK1,sK2))
| smaller(hazard_of_mortality(sK1,sK2),hazard_of_mortality(sK1,sK2))
| ( external_ties(sK1,sK3) = external_ties(sK1,sK2) ) ),
inference(superposition,[status(thm)],[c_73,c_6378]) ).
tcf(c_6424,plain,
( greater(external_ties(sK1,sK3),external_ties(sK1,sK2))
| smaller(hazard_of_mortality(sK1,sK2),hazard_of_mortality(sK1,sK2))
| ( external_ties(sK1,sK3) = external_ties(sK1,sK2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6422,c_58]) ).
tcf(c_6481,plain,
! [X0: $i] :
( has_immunity(sK1,sK2)
| has_immunity(sK1,X0)
| greater(position(sK1,sK3),position(sK1,X0))
| smaller(hazard_of_mortality(sK1,X0),hazard_of_mortality(sK1,sK2))
| ( position(sK1,X0) = position(sK1,sK3) )
| ~ greater_or_equal(capability(sK1,X0),capability(sK1,sK2)) ),
inference(superposition,[status(thm)],[c_6083,c_622]) ).
tcf(c_6547,plain,
! [X0: $i] :
( has_immunity(sK1,X0)
| greater(position(sK1,sK3),position(sK1,X0))
| smaller(hazard_of_mortality(sK1,X0),hazard_of_mortality(sK1,sK2))
| ( position(sK1,X0) = position(sK1,sK3) )
| ~ greater_or_equal(capability(sK1,X0),capability(sK1,sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6481,c_58]) ).
tcf(c_6634,plain,
( greater(external_ties(sK1,sK3),external_ties(sK1,sK2))
| smaller(hazard_of_mortality(sK1,sK2),hazard_of_mortality(sK1,sK2)) ),
inference(global_subsumption_just,[status(thm)],[c_6424,c_58,c_5395,c_5498,c_6586,c_6587]) ).
tcf(c_6703,plain,
( has_immunity(sK1,sK2)
| greater(position(sK1,sK3),position(sK1,sK2))
| smaller(hazard_of_mortality(sK1,sK2),hazard_of_mortality(sK1,sK2))
| ( position(sK1,sK3) = position(sK1,sK2) ) ),
inference(superposition,[status(thm)],[c_73,c_6547]) ).
tcf(c_6705,plain,
( greater(position(sK1,sK3),position(sK1,sK2))
| smaller(hazard_of_mortality(sK1,sK2),hazard_of_mortality(sK1,sK2))
| ( position(sK1,sK3) = position(sK1,sK2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6703,c_58]) ).
tcf(c_6718,plain,
( greater(position(sK1,sK3),position(sK1,sK2))
| smaller(hazard_of_mortality(sK1,sK2),hazard_of_mortality(sK1,sK2)) ),
inference(global_subsumption_just,[status(thm)],[c_6705,c_3160,c_6634]) ).
tcf(c_6724,plain,
( greater(position(sK1,sK3),position(sK1,sK2))
| greater(hazard_of_mortality(sK1,sK2),hazard_of_mortality(sK1,sK2)) ),
inference(superposition,[status(thm)],[c_6718,c_68]) ).
tcf(c_6808,plain,
( greater(hazard_of_mortality(sK1,sK2),hazard_of_mortality(sK1,sK2))
| greater_or_equal(position(sK1,sK3),position(sK1,sK2)) ),
inference(superposition,[status(thm)],[c_6724,c_72]) ).
tcf(c_6924,plain,
( has_immunity(sK1,sK2)
| has_immunity(sK1,sK3)
| greater(hazard_of_mortality(sK1,sK2),hazard_of_mortality(sK1,sK2))
| smaller(hazard_of_mortality(sK1,sK3),hazard_of_mortality(sK1,sK2))
| ~ greater(capability(sK1,sK3),capability(sK1,sK2)) ),
inference(superposition,[status(thm)],[c_6808,c_640]) ).
tcf(c_6925,plain,
( greater(hazard_of_mortality(sK1,sK2),hazard_of_mortality(sK1,sK2))
| ~ greater(capability(sK1,sK3),capability(sK1,sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6924,c_58,c_59,c_157]) ).
tcf(c_7077,plain,
( smaller(capability(sK1,sK2),capability(sK1,sK3))
| ~ greater(internal_friction(sK1,sK2),internal_friction(sK1,sK3)) ),
inference(superposition,[status(thm)],[c_64,c_5500]) ).
tcf(c_7408,plain,
( smaller(capability(sK1,sK2),capability(sK1,sK3))
| ( internal_friction(sK1,sK3) = internal_friction(sK1,sK2) ) ),
inference(superposition,[status(thm)],[c_2859,c_7077]) ).
tcf(c_7433,plain,
( greater(capability(sK1,sK3),capability(sK1,sK2))
| ( internal_friction(sK1,sK3) = internal_friction(sK1,sK2) ) ),
inference(superposition,[status(thm)],[c_7408,c_68]) ).
tcf(c_7448,plain,
( greater(hazard_of_mortality(sK1,sK2),hazard_of_mortality(sK1,sK2))
| ( internal_friction(sK1,sK3) = internal_friction(sK1,sK2) ) ),
inference(superposition,[status(thm)],[c_7433,c_6925]) ).
tcf(c_7545,plain,
( ( internal_friction(sK1,sK3) = internal_friction(sK1,sK2) )
| ~ greater(hazard_of_mortality(sK1,sK2),hazard_of_mortality(sK1,sK2)) ),
inference(superposition,[status(thm)],[c_7448,c_76]) ).
tcf(c_7552,plain,
internal_friction(sK1,sK3) = internal_friction(sK1,sK2),
inference(backward_subsumption_resolution,[status(thm)],[c_7448,c_7545]) ).
tcf(c_7572,plain,
! [X0: $i] :
( ( capability(sK1,X0) = capability(sK1,sK2) )
| ( internal_friction(sK1,X0) != internal_friction(sK1,sK3) )
| ( stock_of_knowledge(sK1,X0) != stock_of_knowledge(sK1,sK3) ) ),
inference(light_normalisation,[status(thm)],[c_5499,c_7552]) ).
tcf(c_7582,plain,
( ( capability(sK1,sK3) = capability(sK1,sK2) )
| ( stock_of_knowledge(sK1,sK3) != stock_of_knowledge(sK1,sK3) ) ),
inference(equality_resolution,[status(thm)],[c_7572]) ).
tcf(c_7583,plain,
capability(sK1,sK3) = capability(sK1,sK2),
inference(equality_resolution_simp,[status(thm)],[c_7582]) ).
tcf(c_7595,plain,
( ( external_ties(sK1,sK3) = external_ties(sK1,sK2) )
| ~ greater_or_equal(capability(sK1,sK3),capability(sK1,sK3)) ),
inference(demodulation,[status(thm)],[c_3190,c_7583]) ).
tcf(c_7596,plain,
external_ties(sK1,sK3) = external_ties(sK1,sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_7595,c_73]) ).
tcf(c_7614,plain,
( greater(stock_of_knowledge(sK1,sK3),stock_of_knowledge(sK1,sK3))
| ~ greater(external_ties(sK1,sK3),external_ties(sK1,sK3)) ),
inference(demodulation,[status(thm)],[c_5390,c_7596]) ).
tcf(c_7615,plain,
( greater(external_ties(sK1,sK3),external_ties(sK1,sK3))
| greater(stock_of_knowledge(sK1,sK3),stock_of_knowledge(sK1,sK3)) ),
inference(demodulation,[status(thm)],[c_5395,c_7596]) ).
tcf(c_7625,plain,
greater(stock_of_knowledge(sK1,sK3),stock_of_knowledge(sK1,sK3)),
inference(backward_subsumption_resolution,[status(thm)],[c_7615,c_7614]) ).
tcf(c_7712,plain,
~ greater(stock_of_knowledge(sK1,sK3),stock_of_knowledge(sK1,sK3)),
inference(superposition,[status(thm)],[c_7625,c_76]) ).
tcf(c_7717,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_7712,c_7625]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT042+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n006.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Thu Sep 24 01:10:11 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.43
% 0.11/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.43
% 0.11/0.43 % Detected problem language: tptp
% 0.11/0.44 % Proving...
% 3.39/1.20 % SZS status Started for theBenchmark.p
% 3.39/1.20 % SZS status Theorem for theBenchmark.p
% 3.39/1.20
% 3.39/1.20 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.39/1.20
% 3.39/1.20 % ------ iProver source info
% 3.39/1.20
% 3.39/1.20 % git: date: 2026-07-19 20:42:38 +0200
% 3.39/1.20 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.39/1.20 % git: non_committed_changes: false
% 3.39/1.20
% 3.39/1.20 % ------ Parsing...
% 3.39/1.20 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.39/1.20
% 3.39/1.20 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e %
% 3.39/1.20
% 3.39/1.20 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.39/1.20
% 3.39/1.20 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.39/1.20 % ------ Proving...
% 3.39/1.20 % ------ Problem Properties
% 3.39/1.20
% 3.39/1.20 %
% 3.39/1.20 % clauses 26
% 3.39/1.20 % conjectures 2
% 3.39/1.20 % EPR 13
% 3.39/1.20 % Horn 19
% 3.39/1.20 % unary 8
% 3.39/1.20 % binary 8
% 3.39/1.20 % lits 60
% 3.39/1.20 % lits eq 11
% 3.39/1.20 % fd_pure 0
% 3.39/1.20 % fd_pseudo 0
% 3.39/1.20 % fd_cond 0
% 3.39/1.20 % fd_pseudo_cond 3
% 3.39/1.20 % AC symbols 0
% 3.39/1.20
% 3.39/1.20 % ------ Schedule dynamic 5 is on
% 3.39/1.20
% 3.39/1.20 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.39/1.20
% 3.39/1.20
% 3.39/1.20 % ------
% 3.39/1.20 % Current options:
% 3.39/1.20 % ------
% 3.39/1.20
% 3.39/1.20
% 3.39/1.20 %
% 3.39/1.20
% 3.39/1.20 % ------ Proving...
% 3.39/1.20 %
% 3.39/1.20
% 3.39/1.20 % SZS status Theorem for theBenchmark.p
% 3.39/1.20
% 3.39/1.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.39/1.20
% 3.39/1.20
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