%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LAT277-1 : 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 27.65s 5.79s
% Output : CNFRefutation 27.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 20 ( 13 unt; 0 def)
% Number of atoms : 29 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 21 ( 12 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 12 ( 12 usr; 7 con; 0-4 aty)
% Number of variables : 13 ( 0 sgn 13 !; 0 ?; 7 :)
% Comments :
%------------------------------------------------------------------------------
fof(f3318,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(f3319,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(f3320,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(f3324,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(f3325,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) ).
fof(f3326,negated_conjecture,
c_in(v_x,v_A,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f3327,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) ).
tcf(c_2795,negated_conjecture,
c_in(v_x,v_A,t_a),
inference(cnf_transformation,[],[f3326]) ).
tcf(c_2796,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,[],[f3327]) ).
tcf(c_2798,plain,
c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit) = v_A,
inference(cnf_transformation,[],[f3319]) ).
tcf(c_2803,plain,
c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit) = v_r,
inference(cnf_transformation,[],[f3325]) ).
tcf(c_2816,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,[],[f3320]) ).
tcf(c_2819,plain,
c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
inference(cnf_transformation,[],[f3324]) ).
tcf(c_2909,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( c_in(c_Pair(X3,X3,X2,X2),X1,tc_prod(X2,X2))
| ~ c_in(X3,X0,X2)
| ~ c_Relation_Orefl(X0,X1,X2) ),
inference(cnf_transformation,[],[f3318]) ).
tcf(c_70316,plain,
( c_Relation_Orefl(c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),v_r,t_a)
| ~ c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) ),
inference(superposition,[status(thm)],[c_2803,c_2816]) ).
tcf(c_70318,plain,
( c_Relation_Orefl(v_A,v_r,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_70316,c_2798]) ).
tcf(c_70319,plain,
c_Relation_Orefl(v_A,v_r,t_a),
inference(forward_subsumption_resolution,[status(thm)],[c_70318,c_2819]) ).
tcf(c_74517,plain,
! [X0: $i] :
( c_in(c_Pair(X0,X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(X0,v_A,t_a) ),
inference(superposition,[status(thm)],[c_70319,c_2909]) ).
tcf(c_80307,plain,
~ c_in(v_x,v_A,t_a),
inference(superposition,[status(thm)],[c_74517,c_2796]) ).
tcf(c_80310,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_80307,c_2795]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT277-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.36 % Computer : n009.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
% 0.08/0.37 % CPULimit : 300
% 0.08/0.37 % WCLimit : 300
% 0.08/0.37 % DateTime : Wed Sep 23 20:46:43 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.41 Running first-order theorem proving
% 0.08/0.41 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
% 0.08/0.42
% 0.08/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.08/0.42
% 0.08/0.42 % Detected problem language: tptp
% 0.08/0.43 % Proving...
% 27.65/5.79 % SZS status Started for theBenchmark.p
% 27.65/5.79 % SZS status Unsatisfiable for theBenchmark.p
% 27.65/5.79
% 27.65/5.79 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 27.65/5.79
% 27.65/5.79 % ------ iProver source info
% 27.65/5.79
% 27.65/5.79 % git: date: 2026-07-19 20:42:38 +0200
% 27.65/5.79 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 27.65/5.79 % git: non_committed_changes: false
% 27.65/5.79
% 27.65/5.79 % ------ Parsing...% successful
% 27.65/5.79
% 27.65/5.79
% 27.65/5.79 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 27.65/5.79
% 27.65/5.79 % ------ Preprocessing... sup_sim: 40 sf_s rm: 6 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe:32:0s pe_e sup_sim: 39 sf_s rm: 40 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 40 0s sf_e pe_s pe_e %
% 27.65/5.79
% 27.65/5.79 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 27.65/5.79
% 27.65/5.79 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 27.65/5.79 % ------ Proving...
% 27.65/5.79 % ------ Problem Properties
% 27.65/5.79
% 27.65/5.79 %
% 27.65/5.79 % clauses 632
% 27.65/5.79 % conjectures 2
% 27.65/5.79 % EPR 30
% 27.65/5.79 % Horn 548
% 27.65/5.79 % unary 214
% 27.65/5.79 % binary 299
% 27.65/5.79 % lits 1179
% 27.65/5.79 % lits eq 419
% 27.65/5.79 % fd_pure 0
% 27.65/5.79 % fd_pseudo 0
% 27.65/5.79 % fd_cond 39
% 27.65/5.79 % fd_pseudo_cond 38
% 27.65/5.79 % AC symbols 0
% 27.65/5.79
% 27.65/5.79 % ------ Schedule dynamic 5 is on
% 27.65/5.79
% 27.65/5.79 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 27.65/5.79
% 27.65/5.79
% 27.65/5.79 % ------
% 27.65/5.79 % Current options:
% 27.65/5.79 % ------
% 27.65/5.79
% 27.65/5.79
% 27.65/5.79 %
% 27.65/5.79
% 27.65/5.79 % ------ Proving...
% 27.65/5.79 %
% 27.65/5.79
% 27.65/5.79 % SZS status Unsatisfiable for theBenchmark.p
% 27.65/5.79
% 27.65/5.79 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 27.65/5.79
% 27.65/5.79
%------------------------------------------------------------------------------