%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : MGT116+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n005.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 02:12:00 PM UTC 2026
% Result : Theorem 0.14s 5.89s
% Output : Proof 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 31 ( 27 unt; 0 def)
% Number of atoms : 47 ( 9 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 34 ( 18 ~; 12 |; 3 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-4 aty)
% Number of variables : 30 ( 6 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f0,axiom,
! [S,A,T,Rho,E,R] :
( ( founds_rem(E,Rho,R)
& part_of(S,Rho)
& cnt(S,decl(A),T)
& subjection(S) )
=> about_event(S,E) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_B3) ).
fof(f0_nnf,plain,
! [S,A,T,Rho,E,R] :
( about_event(S,E)
| ~ founds_rem(E,Rho,R)
| ~ part_of(S,Rho)
| ~ cnt(S,decl(A),T)
| ~ subjection(S) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [S,A,T,Rho,E,R] :
( about_event(S,E)
| ~ founds_rem(E,Rho,R)
| ~ part_of(S,Rho)
| ~ cnt(S,decl(A),T)
| ~ subjection(S) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( about_event(X0,X4)
| ~ founds_rem(X4,X3,X5)
| ~ part_of(X0,X3)
| ~ cnt(X0,decl(X1),X2)
| ~ subjection(X0) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(hi0,axiom,
ifeq(subjection(X0),true,ifeq(cnt(X0,decl(X1),X2),true,ifeq(part_of(X0,X3),true,ifeq(founds_rem(X4,X3,X5),true,about_event(X0,X4),true),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c0]) ).
fof(f7,axiom,
subjection(s),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subj_s) ).
fof(f7_nnf,plain,
subjection(s),
inference(nnf_transformation,[status(thm)],[f7]) ).
cnf(c7,plain,
subjection(s),
inference(cnf_transformation,[status(esa)],[f7_nnf]) ).
cnf(hi7,axiom,
subjection(s) = true,
inference(equality_encoding,[status(esa)],[c7]) ).
fof(f8,axiom,
cnt(s,decl(some_action),some_target),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cnt_s) ).
fof(f8_nnf,plain,
cnt(s,decl(some_action),some_target),
inference(nnf_transformation,[status(thm)],[f8]) ).
cnf(c8,plain,
cnt(s,decl(some_action),some_target),
inference(cnf_transformation,[status(esa)],[f8_nnf]) ).
cnf(hi8,axiom,
cnt(s,decl(some_action),some_target) = true,
inference(equality_encoding,[status(esa)],[c8]) ).
fof(f9,axiom,
part_of(s,rho_r),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',partof_s) ).
fof(f9_nnf,plain,
part_of(s,rho_r),
inference(nnf_transformation,[status(thm)],[f9]) ).
cnf(c9,plain,
part_of(s,rho_r),
inference(cnf_transformation,[status(esa)],[f9_nnf]) ).
cnf(hi9,axiom,
part_of(s,rho_r) = true,
inference(equality_encoding,[status(esa)],[c9]) ).
fof(f10,axiom,
founds_rem(e1,rho_r,f1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',founds_rem1) ).
fof(f10_nnf,plain,
founds_rem(e1,rho_r,f1),
inference(nnf_transformation,[status(thm)],[f10]) ).
cnf(c10,plain,
founds_rem(e1,rho_r,f1),
inference(cnf_transformation,[status(esa)],[f10_nnf]) ).
cnf(hi10,axiom,
founds_rem(e1,rho_r,f1) = true,
inference(equality_encoding,[status(esa)],[c10]) ).
cnf(t7,plain,
about_event(s,e1) = true,
inference(hyper_resolution,[status(thm)],[hi0,hi7,hi8,hi9,hi10]) ).
cnf(t19,plain,
about_event(s,e1) = true,
inference(orient,[status(thm)],[t7]) ).
fof(f11,conjecture,
about_event(s,e1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture) ).
fof(f11_neg,negated_conjecture,
~ about_event(s,e1),
inference(negated_conjecture,[status(cth)],[f11]) ).
fof(f11_nnf,plain,
~ about_event(s,e1),
inference(nnf_transformation,[status(thm)],[f11_neg]) ).
fof(f11_sk,plain,
~ about_event(s,e1),
inference(skolemisation,[status(esa)],[f11_nnf]) ).
cnf(c11,plain,
~ about_event(s,e1),
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(goal_0,negated_conjecture,
about_event(s,e1) != true,
inference(equality_encoding,[status(esa)],[c11]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t19]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT116+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/5.37 % Computer : n005.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Thu Sep 24 01:25:38 UTC 2026
% 0.09/5.38 % CPUTime :
% 0.09/5.38 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.14/5.89 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/5.89 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------