%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : COM009-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n002.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 01:04:17 PM UTC 2026
% Result : Unsatisfiable 1.13s 6.29s
% Output : CNFRefutation 1.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 21 ( 7 unt; 0 def)
% Number of atoms : 35 ( 18 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 32 ( 18 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 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 : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 13 ( 0 sgn 13 !; 0 ?; 9 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
( ~ c_UNITY_Oall__total(v_F,t_a)
| c_UNITY_Ototalize(v_F,t_a) != v_F ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2,plain,
( ~ c_UNITY_Oall__total(v_F,t_a)
| v_F != c_UNITY_Ototalize(v_F,t_a) ),
inference(reorient_equations,[],[f1]) ).
fof(f3,negated_conjecture,
( c_UNITY_Ototalize(v_F,t_a) = v_F
| c_UNITY_Oall__total(v_F,t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f4,plain,
( v_F = c_UNITY_Ototalize(v_F,t_a)
| c_UNITY_Oall__total(v_F,t_a) ),
inference(reorient_equations,[],[f3]) ).
fof(f5,axiom,
! [X0,X1] :
( c_UNITY_Ototalize(X0,X1) = X0
| ~ c_UNITY_Oall__total(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UNITY_Oall__total__imp__totalize_0) ).
fof(f6,axiom,
! [X0,X1] : c_UNITY_Oall__total(c_UNITY_Ototalize(X0,X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UNITY_Oall__total__totalize_0) ).
tcf(c_53,negated_conjecture,
( ~ c_UNITY_Oall__total(v_F,t_a)
| ( c_UNITY_Ototalize(v_F,t_a) != v_F ) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_54,negated_conjecture,
( c_UNITY_Oall__total(v_F,t_a)
| ( c_UNITY_Ototalize(v_F,t_a) = v_F ) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i] :
( ( c_UNITY_Ototalize(X0,X1) = X0 )
| ~ c_UNITY_Oall__total(X0,X1) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i] : c_UNITY_Oall__total(c_UNITY_Ototalize(X0,X1),X1),
inference(cnf_transformation,[],[f6]) ).
tcf(c_59,plain,
( ( c_UNITY_Ototalize(v_F,t_a) != v_F )
| ~ c_UNITY_Oall__total(v_F,t_a) ),
inference(prop_impl_just,[status(thm)],[c_53]) ).
tcf(c_60,plain,
( ~ c_UNITY_Oall__total(v_F,t_a)
| ( c_UNITY_Ototalize(v_F,t_a) != v_F ) ),
inference(renaming,[status(thm)],[c_59]) ).
tcf(c_61,plain,
( ( c_UNITY_Ototalize(v_F,t_a) = v_F )
| c_UNITY_Oall__total(v_F,t_a) ),
inference(prop_impl_just,[status(thm)],[c_54]) ).
tcf(c_62,plain,
( c_UNITY_Oall__total(v_F,t_a)
| ( c_UNITY_Ototalize(v_F,t_a) = v_F ) ),
inference(renaming,[status(thm)],[c_61]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i] :
( ( c_UNITY_Ototalize(X0,X1) = X0 )
| ~ c_UNITY_Oall__total(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_55]) ).
tcf(c_80,plain,
c_UNITY_Ototalize(v_F,t_a) = v_F,
inference(forward_subsumption_resolution,[status(thm)],[c_62,c_63]) ).
tcf(c_84,plain,
~ c_UNITY_Oall__total(v_F,t_a),
inference(backward_subsumption_resolution,[status(thm)],[c_60,c_80]) ).
tcf(c_98,plain,
! [X0: $i,X1: $i] :
( ( X1 != t_a )
| ( c_UNITY_Ototalize(X0,X1) != v_F ) ),
inference(resolution_lifted,[status(thm)],[c_84,c_56]) ).
tcf(c_99,plain,
! [X0: $i] : c_UNITY_Ototalize(X0,t_a) != v_F,
inference(unflattening,[status(thm)],[c_98]) ).
tcf(c_100,plain,
c_UNITY_Ototalize(v_F,t_a) != v_F,
inference(instantiation,[status(thm)],[c_99]) ).
tcf(c_101,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_100,c_80]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM009-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/5.38 % Computer : n002.cluster.edu
% 0.11/5.38 % Model : x86_64 x86_64
% 0.11/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.38 % Memory : 8046.5625MB
% 0.11/5.38 % OS : Linux 6.8.0-71-generic
% 0.11/5.38 % CPULimit : 300
% 0.11/5.38 % WCLimit : 300
% 0.11/5.38 % DateTime : Fri Sep 25 07:47:56 UTC 2026
% 0.11/5.38 % CPUTime :
% 0.11/5.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/5.42 Running first-order theorem proving
% 0.15/5.42 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
% 0.15/5.43
% 0.15/5.43 % ======== iProver multi-core TPTP/SMT =========
% 0.15/5.43
% 0.15/5.43 % Detected problem language: tptp
% 0.15/5.45 % Proving...
% 1.13/6.29 % SZS status Started for theBenchmark.p
% 1.13/6.29 % SZS status Unsatisfiable for theBenchmark.p
% 1.13/6.29
% 1.13/6.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.13/6.29
% 1.13/6.29 % ------ iProver source info
% 1.13/6.29
% 1.13/6.29 % git: date: 2026-07-19 20:42:38 +0200
% 1.13/6.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.13/6.29 % git: non_committed_changes: false
% 1.13/6.29
% 1.13/6.29 % ------ Parsing...% successful
% 1.13/6.29
% 1.13/6.29
% 1.13/6.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.13/6.29
% 1.13/6.29 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s %
% 1.13/6.29
% 1.13/6.29 % SZS status Unsatisfiable for theBenchmark.p
% 1.13/6.29
% 1.13/6.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.13/6.29
% 1.13/6.29
%------------------------------------------------------------------------------