%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LAT277-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n009.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 01:58:32 PM UTC 2026
% Result : Unsatisfiable 0.54s 6.29s
% Output : CNFRefutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 25 ( 15 unt; 2 def)
% Number of atoms : 52 ( 9 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 41 ( 22 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 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 : 6 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-4 aty)
% Number of variables : 24 ( 0 sgn 24 !; 0 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
c_in(v_x,v_A,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2,negated_conjecture,
~ c_in(c_Pair(v_x,v_x,t_a,t_a),v_r,tc_prod(t_a,t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3,axiom,
! [X2,X3,X0,X1] :
( c_in(c_Pair(X3,X3,X2,X2),X1,tc_prod(X2,X2))
| ~ c_in(X3,X0,X2)
| ~ c_Relation_Orefl(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_OreflD_0) ).
fof(f4,axiom,
v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_OA_A_61_61_Apset_Acl_0) ).
fof(f5,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/sandbox2/benchmark/theBenchmark.p',cls_Tarski_OPartialOrder__iff_0) ).
fof(f6,axiom,
c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Ocl_A_58_APartialOrder_0) ).
fof(f7,axiom,
v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Or_A_61_61_Aorder_Acl_0) ).
tcf(c_56,negated_conjecture,
c_in(v_x,v_A,t_a),
inference(cnf_transformation,[],[f1]) ).
tcf(c_57,negated_conjecture,
~ c_in(c_Pair(v_x,v_x,t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(cnf_transformation,[],[f2]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(c_Pair(X0,X0,X2,X2),X3,tc_prod(X2,X2))
| ~ c_Relation_Orefl(X1,X3,X2)
| ~ c_in(X0,X1,X2) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_59,plain,
c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit) = v_A,
inference(cnf_transformation,[],[f4]) ).
tcf(c_60,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,[],[f5]) ).
tcf(c_61,plain,
c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
inference(cnf_transformation,[],[f6]) ).
tcf(c_62,plain,
c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit) = v_r,
inference(cnf_transformation,[],[f7]) ).
tcf(c_103,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_in(c_Pair(X5,X5,X3,X3),X4,tc_prod(X3,X3))
| ~ c_in(X5,X2,X3)
| ~ c_in(X0,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit))
| ( X1 != X3 )
| ( c_Tarski_Opotype_Oorder(X0,X1,tc_Product__Type_Ounit) != X4 )
| ( c_Tarski_Opotype_Opset(X0,X1,tc_Product__Type_Ounit) != X2 ) ),
inference(resolution_lifted,[status(thm)],[c_58,c_60]) ).
tcf(c_104,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(c_Pair(X0,X0,X2,X2),c_Tarski_Opotype_Oorder(X1,X2,tc_Product__Type_Ounit),tc_prod(X2,X2))
| ~ c_in(X1,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit))
| ~ c_in(X0,c_Tarski_Opotype_Opset(X1,X2,tc_Product__Type_Ounit),X2) ),
inference(unflattening,[status(thm)],[c_103]) ).
tcf(c_146,definition,
iPr_def_10 = c_Pair(v_x,v_x,t_a,t_a),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_147,definition,
iPr_def_11 = tc_prod(t_a,t_a),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_148,negated_conjecture,
~ c_in(iPr_def_10,v_r,iPr_def_11),
inference(demodulation,[status(thm)],[c_57,c_147,c_146]) ).
tcf(c_149,negated_conjecture,
c_in(v_x,v_A,t_a),
inference(demodulation,[status(thm)],[c_56]) ).
tcf(c_324,plain,
! [X0: $i] :
( c_in(c_Pair(X0,X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))
| ~ c_in(X0,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),t_a) ),
inference(superposition,[status(thm)],[c_62,c_104]) ).
tcf(c_330,plain,
! [X0: $i] :
( c_in(c_Pair(X0,X0,t_a,t_a),v_r,iPr_def_11)
| ~ c_in(X0,v_A,t_a)
| ~ c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) ),
inference(light_normalisation,[status(thm)],[c_324,c_59,c_147]) ).
tcf(c_331,plain,
! [X0: $i] :
( c_in(c_Pair(X0,X0,t_a,t_a),v_r,iPr_def_11)
| ~ c_in(X0,v_A,t_a) ),
inference(forward_subsumption_resolution,[status(thm)],[c_330,c_61]) ).
tcf(c_354,plain,
( c_in(iPr_def_10,v_r,iPr_def_11)
| ~ c_in(v_x,v_A,t_a) ),
inference(superposition,[status(thm)],[c_146,c_331]) ).
tcf(c_355,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_354,c_148,c_149]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT277-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/5.38 % Computer : n009.cluster.edu
% 0.09/5.38 % Model : x86_64 x86_64
% 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38 % Memory : 8046.5625MB
% 0.09/5.38 % OS : Linux 6.8.0-71-generic
% 0.09/5.38 % CPULimit : 300
% 0.09/5.38 % WCLimit : 300
% 0.09/5.38 % DateTime : Wed Sep 23 20:47:04 UTC 2026
% 0.09/5.38 % CPUTime :
% 0.09/5.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/5.42 Running first-order theorem proving
% 0.15/5.42 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/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
% 0.15/5.44 % Proving...
% 0.54/6.29 % SZS status Started for theBenchmark.p
% 0.54/6.29 % SZS status Unsatisfiable for theBenchmark.p
% 0.54/6.29
% 0.54/6.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.54/6.29
% 0.54/6.29 % ------ iProver source info
% 0.54/6.29
% 0.54/6.29 % git: date: 2026-07-19 20:42:38 +0200
% 0.54/6.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.54/6.29 % git: non_committed_changes: false
% 0.54/6.29
% 0.54/6.29 % ------ Parsing...% successful
% 0.54/6.29
% 0.54/6.29
% 0.54/6.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.54/6.29
% 0.54/6.29 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 0.54/6.29
% 0.54/6.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 0.54/6.29
% 0.54/6.29 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 0.54/6.29 % ------ Proving...
% 0.54/6.29 % ------ Problem Properties
% 0.54/6.29
% 0.54/6.29 %
% 0.54/6.29 % clauses 8
% 0.54/6.29 % conjectures 2
% 0.54/6.29 % EPR 2
% 0.54/6.29 % Horn 8
% 0.54/6.29 % unary 7
% 0.54/6.29 % binary 0
% 0.54/6.29 % lits 10
% 0.54/6.29 % lits eq 4
% 0.54/6.29 % fd_pure 0
% 0.54/6.29 % fd_pseudo 0
% 0.54/6.29 % fd_cond 0
% 0.54/6.29 % fd_pseudo_cond 0
% 0.54/6.29 % AC symbols 0
% 0.54/6.29
% 0.54/6.29 % ------ Schedule dynamic 5 is on
% 0.54/6.29
% 0.54/6.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.54/6.29
% 0.54/6.29
% 0.54/6.29 % ------
% 0.54/6.29 % Current options:
% 0.54/6.29 % ------
% 0.54/6.29
% 0.54/6.29
% 0.54/6.29 %
% 0.54/6.29
% 0.54/6.29 % ------ Proving...
% 0.54/6.29 %
% 0.54/6.29
% 0.54/6.29 % SZS status Unsatisfiable for theBenchmark.p
% 0.54/6.29
% 0.54/6.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.54/6.29
% 0.54/6.29
%------------------------------------------------------------------------------