%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : MGT073+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n007.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 02:13:01 PM UTC 2026
% Result : Theorem 2.36s 1.26s
% Output : CNFRefutation 2.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 23 ( 7 unt; 0 def)
% Number of atoms : 49 ( 8 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 50 ( 24 ~; 18 |; 6 &)
% ( 1 <=>; 1 =>; 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 : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-4 aty)
% Number of variables : 49 ( 0 sgn 44 !; 5 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
fof(f15,axiom,
! [X0,X1,X2,X3] :
( axis_compatible(X0,X1,X2,X3)
<=> ? [X4] :
( in_closed(X4,X2,X3)
& in_closed(X4,X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT002+2.ax',axis_compatible_def) ).
fof(f39,axiom,
axis_compatible(n0,n10,n5,n10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compatible_hyp) ).
fof(f40,conjecture,
? [X0] :
( in_closed(X0,n5,n10)
& in_closed(X0,n0,n10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_false_compatible) ).
fof(f41,negated_conjecture,
~ ? [X0] :
( in_closed(X0,n5,n10)
& in_closed(X0,n0,n10) ),
inference(negated_conjecture,[status(cth)],[f40]) ).
fof(f42,plain,
! [X0,X1,X2,X3] :
( axis_compatible(X0,X1,X2,X3)
=> ? [X4] :
( in_closed(X4,X2,X3)
& in_closed(X4,X0,X1) ) ),
inference(unused_predicate_definition_removal,[],[f15]) ).
fof(f54,plain,
! [X0,X1,X2,X3] :
( ~ axis_compatible(X0,X1,X2,X3)
| ? [X4] :
( in_closed(X4,X2,X3)
& in_closed(X4,X0,X1) ) ),
inference(ennf_transformation,[],[f42]) ).
fof(f65,plain,
! [X0] :
( ~ in_closed(X0,n5,n10)
| ~ in_closed(X0,n0,n10) ),
inference(ennf_transformation,[],[f41]) ).
fof(f76,plain,
! [X0,X1,X2,X3] :
( ~ axis_compatible(X0,X1,X2,X3)
| ( in_closed(sK0(X0,X1,X2,X3),X2,X3)
& in_closed(sK0(X0,X1,X2,X3),X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X4,sK0(X0,X1,X2,X3))],[f54]) ).
fof(f109,plain,
! [X2,X3,X0,X1] :
( ~ axis_compatible(X0,X1,X2,X3)
| in_closed(sK0(X0,X1,X2,X3),X2,X3) ),
inference(cnf_transformation,[],[f76]) ).
fof(f110,plain,
! [X2,X3,X0,X1] :
( ~ axis_compatible(X0,X1,X2,X3)
| in_closed(sK0(X0,X1,X2,X3),X0,X1) ),
inference(cnf_transformation,[],[f76]) ).
fof(f140,plain,
axis_compatible(n0,n10,n5,n10),
inference(cnf_transformation,[],[f39]) ).
fof(f141,plain,
! [X0] :
( ~ in_closed(X0,n5,n10)
| ~ in_closed(X0,n0,n10) ),
inference(cnf_transformation,[],[f65]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in_closed(sK0(X0,X1,X2,X3),X0,X1)
| ~ axis_compatible(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f110]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in_closed(sK0(X0,X1,X2,X3),X2,X3)
| ~ axis_compatible(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f109]) ).
tcf(c_103,plain,
axis_compatible(n0,n10,n5,n10),
inference(cnf_transformation,[],[f140]) ).
tcf(c_104,negated_conjecture,
! [X0: $i] :
( ~ in_closed(X0,n5,n10)
| ~ in_closed(X0,n0,n10) ),
inference(cnf_transformation,[],[f141]) ).
tcf(c_476,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in_closed(sK0(X0,X1,X2,X3),X2,X3)
| ( X3 != n10 )
| ( X2 != n5 )
| ( X1 != n10 )
| ( X0 != n0 ) ),
inference(resolution_lifted,[status(thm)],[c_73,c_103]) ).
tcf(c_477,plain,
in_closed(sK0(n0,n10,n5,n10),n5,n10),
inference(unflattening,[status(thm)],[c_476]) ).
tcf(c_481,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( in_closed(sK0(X0,X1,X2,X3),X0,X1)
| ( X3 != n10 )
| ( X2 != n5 )
| ( X1 != n10 )
| ( X0 != n0 ) ),
inference(resolution_lifted,[status(thm)],[c_72,c_103]) ).
tcf(c_482,plain,
in_closed(sK0(n0,n10,n5,n10),n0,n10),
inference(unflattening,[status(thm)],[c_481]) ).
tcf(c_746,negated_conjecture,
! [X0: $i] :
( ~ in_closed(X0,n5,n10)
| ~ in_closed(X0,n0,n10) ),
inference(demodulation,[status(thm)],[c_104]) ).
tcf(c_1147,plain,
~ in_closed(sK0(n0,n10,n5,n10),n5,n10),
inference(superposition,[status(thm)],[c_482,c_746]) ).
tcf(c_1148,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_1147,c_477]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT073+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.36 % Computer : n007.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Thu Sep 24 01:17:37 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.39 Running first-order theorem proving
% 0.14/0.39 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
% 0.14/0.40
% 0.14/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.40
% 0.14/0.40 % Detected problem language: tptp
% 0.14/0.41 % Proving...
% 2.36/1.26 % SZS status Started for theBenchmark.p
% 2.36/1.26 % SZS status Theorem for theBenchmark.p
% 2.36/1.26
% 2.36/1.26 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.36/1.26
% 2.36/1.26 % ------ iProver source info
% 2.36/1.26
% 2.36/1.26 % git: date: 2026-07-19 20:42:38 +0200
% 2.36/1.26 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.36/1.26 % git: non_committed_changes: false
% 2.36/1.26
% 2.36/1.26 % ------ Parsing...
% 2.36/1.26 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.36/1.26
% 2.36/1.26 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 2.36/1.26
% 2.36/1.26 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.36/1.26
% 2.36/1.26 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.36/1.26 % ------ Proving...
% 2.36/1.26 % ------ Problem Properties
% 2.36/1.26
% 2.36/1.26 %
% 2.36/1.26 % clauses 33
% 2.36/1.26 % conjectures 1
% 2.36/1.26 % EPR 25
% 2.36/1.26 % Horn 27
% 2.36/1.26 % unary 14
% 2.36/1.26 % binary 7
% 2.36/1.26 % lits 67
% 2.36/1.26 % lits eq 20
% 2.36/1.26 % fd_pure 0
% 2.36/1.26 % fd_pseudo 0
% 2.36/1.26 % fd_cond 3
% 2.36/1.26 % fd_pseudo_cond 4
% 2.36/1.26 % AC symbols 0
% 2.36/1.26
% 2.36/1.26 % ------ Schedule dynamic 5 is on
% 2.36/1.26
% 2.36/1.26 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.36/1.26
% 2.36/1.26
% 2.36/1.26 % ------
% 2.36/1.26 % Current options:
% 2.36/1.26 % ------
% 2.36/1.26
% 2.36/1.26
% 2.36/1.26 %
% 2.36/1.26
% 2.36/1.26 % ------ Proving...
% 2.36/1.26 %
% 2.36/1.26
% 2.36/1.26 % SZS status Theorem for theBenchmark.p
% 2.36/1.26
% 2.36/1.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.36/1.26
% 2.36/1.26
%------------------------------------------------------------------------------