%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LAT278-2 : 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 : n003.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 01:58:33 PM UTC 2026
% Result : Unsatisfiable 1.17s 1.27s
% Output : CNFRefutation 1.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 15 ( 9 unt; 0 def)
% Number of atoms : 27 ( 16 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 30 ( 18 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-3 aty)
% Number of variables : 8 ( 0 sgn 8 !; 0 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
~ c_Relation_Orefl(v_A,v_r,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2,axiom,
v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_OA_A_61_61_Apset_Acl_0) ).
fof(f3,axiom,
! [X0,X1] :
( c_Relation_Orefl(c_Tarski_Opotype_Opset(X0,X1,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(X0,X1,tc_Product__Type_Ounit),X1)
| ~ c_in(X0,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_OPartialOrder__iff_0) ).
fof(f4,axiom,
c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Ocl_A_58_APartialOrder_0) ).
fof(f5,axiom,
v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Tarski_Or_A_61_61_Aorder_Acl_0) ).
tcf(c_54,negated_conjecture,
~ c_Relation_Orefl(v_A,v_r,t_a),
inference(cnf_transformation,[],[f1]) ).
tcf(c_55,plain,
c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit) = v_A,
inference(cnf_transformation,[],[f2]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i] :
( c_Relation_Orefl(c_Tarski_Opotype_Opset(X0,X1,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(X0,X1,tc_Product__Type_Ounit),X1)
| ~ c_in(X0,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit)) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_57,plain,
c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
inference(cnf_transformation,[],[f4]) ).
tcf(c_58,plain,
c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit) = v_r,
inference(cnf_transformation,[],[f5]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i] :
( ~ c_in(X0,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit))
| ( X1 != t_a )
| ( c_Tarski_Opotype_Oorder(X0,X1,tc_Product__Type_Ounit) != v_r )
| ( c_Tarski_Opotype_Opset(X0,X1,tc_Product__Type_Ounit) != v_A ) ),
inference(resolution_lifted,[status(thm)],[c_54,c_56]) ).
tcf(c_83,plain,
! [X0: $i] :
( ~ c_in(X0,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))
| ( c_Tarski_Opotype_Oorder(X0,t_a,tc_Product__Type_Ounit) != v_r )
| ( c_Tarski_Opotype_Opset(X0,t_a,tc_Product__Type_Ounit) != v_A ) ),
inference(unflattening,[status(thm)],[c_82]) ).
tcf(c_97,plain,
! [X0: $i] :
( ( c_Tarski_OPartialOrder != c_Tarski_OPartialOrder )
| ( X0 != v_cl )
| ( tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit) != tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit) )
| ( c_Tarski_Opotype_Oorder(X0,t_a,tc_Product__Type_Ounit) != v_r )
| ( c_Tarski_Opotype_Opset(X0,t_a,tc_Product__Type_Ounit) != v_A ) ),
inference(resolution_lifted,[status(thm)],[c_57,c_83]) ).
tcf(c_98,plain,
( ( c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit) != v_r )
| ( c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit) != v_A ) ),
inference(unflattening,[status(thm)],[c_97]) ).
tcf(c_99,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_98,c_55,c_58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT278-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.36 % Computer : n003.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Wed Sep 23 20:49:06 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.41 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
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.43 % Proving...
% 1.17/1.27 % SZS status Started for theBenchmark.p
% 1.17/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 1.17/1.27
% 1.17/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.17/1.27
% 1.17/1.27 % ------ iProver source info
% 1.17/1.27
% 1.17/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 1.17/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.17/1.27 % git: non_committed_changes: false
% 1.17/1.27
% 1.17/1.27 % ------ Parsing...% successful
% 1.17/1.27
% 1.17/1.27
% 1.17/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.17/1.27
% 1.17/1.27 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s%
% 1.17/1.27
% 1.17/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 1.17/1.27
% 1.17/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.17/1.28
% 1.17/1.28
%------------------------------------------------------------------------------