%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : MGT045-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n015.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 02:11:49 PM UTC 2026
% Result : Unsatisfiable 6.66s 1.45s
% Output : Proof 6.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 7
% Syntax : Number of formulae : 48 ( 36 unt; 0 def)
% Number of atoms : 68 ( 25 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 50 ( 30 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-4 aty)
% Number of variables : 50 ( 2 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f11,axiom,
( greater(position(A,B),position(A,C))
| ~ greater(external_ties(A,B),external_ties(A,C))
| ~ organization(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_6_30) ).
fof(f11_nnf,plain,
! [A,B,C] :
( greater(position(A,B),position(A,C))
| ~ greater(external_ties(A,B),external_ties(A,C))
| ~ organization(A) ),
inference(nnf_transformation,[status(thm)],[f11]) ).
fof(f11_sk,plain,
! [A,B,C] :
( greater(position(A,B),position(A,C))
| ~ greater(external_ties(A,B),external_ties(A,C))
| ~ organization(A) ),
inference(skolemisation,[status(esa)],[f11_nnf]) ).
cnf(c11,plain,
( greater(position(X0,X1),position(X0,X2))
| ~ greater(external_ties(X0,X1),external_ties(X0,X2))
| ~ organization(X0) ),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(t28,plain,
ifeq(organization(X1),true,ifeq(greater(external_ties(X1,X2),external_ties(X1,X3)),true,greater(position(X1,X2),position(X1,X3)),true),true) = true,
inference(equality_encoding,[status(esa)],[c11]) ).
cnf(t45,plain,
ifeq(organization(X1),true,ifeq(greater(external_ties(X1,X2),external_ties(X1,X3)),true,greater(position(X1,X2),position(X1,X3)),true),true) = true,
inference(orient,[status(thm)],[t28]) ).
cnf(f13,axiom,
( greater(external_ties(A,B),external_ties(A,C))
| ~ greater(age(A,B),age(A,C))
| ~ organization(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_8_32) ).
fof(f13_nnf,plain,
! [A,B,C] :
( greater(external_ties(A,B),external_ties(A,C))
| ~ greater(age(A,B),age(A,C))
| ~ organization(A) ),
inference(nnf_transformation,[status(thm)],[f13]) ).
fof(f13_sk,plain,
! [A,B,C] :
( greater(external_ties(A,B),external_ties(A,C))
| ~ greater(age(A,B),age(A,C))
| ~ organization(A) ),
inference(skolemisation,[status(esa)],[f13_nnf]) ).
cnf(c13,plain,
( greater(external_ties(X0,X1),external_ties(X0,X2))
| ~ greater(age(X0,X1),age(X0,X2))
| ~ organization(X0) ),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(t27,plain,
ifeq(organization(X1),true,ifeq(greater(age(X1,X2),age(X1,X3)),true,greater(external_ties(X1,X2),external_ties(X1,X3)),true),true) = true,
inference(equality_encoding,[status(esa)],[c13]) ).
cnf(t46,plain,
ifeq(organization(X1),true,ifeq(greater(age(X1,X2),age(X1,X3)),true,greater(external_ties(X1,X2),external_ties(X1,X3)),true),true) = true,
inference(orient,[status(thm)],[t27]) ).
cnf(f15,negated_conjecture,
greater(age(sk1,sk3),age(sk1,sk2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_4_34) ).
fof(f15_nnf,plain,
greater(age(sk1,sk3),age(sk1,sk2)),
inference(nnf_transformation,[status(thm)],[f15]) ).
cnf(c15,plain,
greater(age(sk1,sk3),age(sk1,sk2)),
inference(cnf_transformation,[status(esa)],[f15_nnf]) ).
cnf(t10,plain,
greater(age(sk1,sk3),age(sk1,sk2)) = true,
inference(equality_encoding,[status(esa)],[c15]) ).
cnf(t49,plain,
greater(age(sk1,sk3),age(sk1,sk2)) = true,
inference(orient,[status(thm)],[t10]) ).
cnf(t59,plain,
true = ifeq(organization(sk1),true,ifeq(true,true,greater(external_ties(sk1,sk3),external_ties(sk1,sk2)),true),true),
inference(cp,[status(thm)],[t46,t49]) ).
cnf(f14,negated_conjecture,
organization(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_4_33) ).
fof(f14_nnf,plain,
organization(sk1),
inference(nnf_transformation,[status(thm)],[f14]) ).
cnf(c14,plain,
organization(sk1),
inference(cnf_transformation,[status(esa)],[f14_nnf]) ).
cnf(t2,plain,
organization(sk1) = true,
inference(equality_encoding,[status(esa)],[c14]) ).
cnf(t70,plain,
organization(sk1) = true,
inference(orient,[status(thm)],[t2]) ).
cnf(t181,plain,
true = ifeq(true,true,ifeq(true,true,greater(external_ties(sk1,sk3),external_ties(sk1,sk2)),true),true),
inference(step,[status(thm)],[t59,t70]) ).
cnf(t8,plain,
ifeq(X1,X1,X2,X3) = X2,
introduced(definition) ).
cnf(t29,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t8]) ).
cnf(t182,plain,
true = ifeq(true,true,greater(external_ties(sk1,sk3),external_ties(sk1,sk2)),true),
inference(step,[status(thm)],[t181,t29]) ).
cnf(t183,plain,
true = greater(external_ties(sk1,sk3),external_ties(sk1,sk2)),
inference(step,[status(thm)],[t182,t29]) ).
cnf(t135,plain,
greater(external_ties(sk1,sk3),external_ties(sk1,sk2)) = true,
inference(orient,[status(thm)],[t183]) ).
cnf(t147,plain,
true = ifeq(organization(sk1),true,ifeq(true,true,greater(position(sk1,sk3),position(sk1,sk2)),true),true),
inference(cp,[status(thm)],[t45,t135]) ).
cnf(t186,plain,
true = ifeq(true,true,ifeq(true,true,greater(position(sk1,sk3),position(sk1,sk2)),true),true),
inference(step,[status(thm)],[t147,t70]) ).
cnf(t187,plain,
true = ifeq(true,true,greater(position(sk1,sk3),position(sk1,sk2)),true),
inference(step,[status(thm)],[t186,t29]) ).
cnf(t188,plain,
true = greater(position(sk1,sk3),position(sk1,sk2)),
inference(step,[status(thm)],[t187,t29]) ).
cnf(f16,negated_conjecture,
~ greater(position(sk1,sk3),position(sk1,sk2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_4_35) ).
fof(f16_nnf,plain,
~ greater(position(sk1,sk3),position(sk1,sk2)),
inference(nnf_transformation,[status(thm)],[f16]) ).
fof(f16_sk,plain,
~ greater(position(sk1,sk3),position(sk1,sk2)),
inference(skolemisation,[status(esa)],[f16_nnf]) ).
cnf(c16,plain,
~ greater(position(sk1,sk3),position(sk1,sk2)),
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
cnf(t11,plain,
greater(position(sk1,sk3),position(sk1,sk2)) = false,
inference(equality_encoding,[status(esa)],[c16]) ).
cnf(t77,plain,
greater(position(sk1,sk3),position(sk1,sk2)) = false,
inference(orient,[status(thm)],[t11]) ).
cnf(t189,plain,
true = false,
inference(step,[status(thm)],[t188,t77]) ).
cnf(t149,plain,
false = true,
inference(orient,[status(thm)],[t189]) ).
cnf(f8,axiom,
( ~ greater(B,A)
| ~ greater(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meaning_postulate_greater_strict_9) ).
fof(f8_nnf,plain,
! [A,B] :
( ~ greater(B,A)
| ~ greater(A,B) ),
inference(nnf_transformation,[status(thm)],[f8]) ).
fof(f8_sk,plain,
! [A,B] :
( ~ greater(B,A)
| ~ greater(A,B) ),
inference(skolemisation,[status(esa)],[f8_nnf]) ).
cnf(c8,plain,
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c8,c16]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t149]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT045-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.38 % Computer : n015.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Thu Sep 24 01:15:11 UTC 2026
% 0.09/0.39 % CPUTime :
% 0.09/0.39 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 6.66/1.45 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.66/1.45 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------