%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LAT273-1 : 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 : n026.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 01:58:31 PM UTC 2026
% Result : Unsatisfiable 1.27s 1.75s
% Output : CNFRefutation 1.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 24 ( 11 unt; 0 def)
% Number of atoms : 52 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 56 ( 28 ~; 28 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-4 aty)
% Number of variables : 33 ( 0 sgn 33 !; 0 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X2,X3,X0,X1,X4,X5] :
( c_in(c_Pair(X0,X5,X2,X2),X3,tc_prod(X2,X2))
| ~ c_lessequals(X1,c_Tarski_Ointerval(X3,X4,X5,X2),tc_set(X2))
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/LAT006-2.ax',cls_Tarski_O_91_124_AS1_A_60_61_Ainterval_Ar_Aa1_Ab1_59_Ax1_A_58_AS1_A_124_93_A_61_61_62_A_Ix1_M_Ab1_J_A_58_Ar_A_61_61_ATrue_0) ).
fof(f14,axiom,
! [X2,X0,X1] :
( c_in(v_sko__4mi(X0,v_r,X2),X0,t_a)
| c_in(c_Pair(X1,X2,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(X2,v_A,t_a)
| ~ c_Tarski_OisLub(X0,v_cl,X1,t_a) ),
file('/export/starexec/sandbox/benchmark/Axioms/LAT006-2.ax',cls_Tarski_O_91_124_AisLub_AS1_Acl_AL1_59_Az1_A_58_AA_59_AALL_Ay_58S1_O_A_Iy_M_Az1_J_A_58_Ar_A_124_93_A_61_61_62_A_IL1_M_Az1_J_A_58_Ar_A_61_61_ATrue_0) ).
fof(f15,axiom,
! [X2,X0,X1] :
( c_in(c_Pair(X1,X2,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_sko__4mi(X0,v_r,X2),X2,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(X2,v_A,t_a)
| ~ c_Tarski_OisLub(X0,v_cl,X1,t_a) ),
file('/export/starexec/sandbox/benchmark/Axioms/LAT006-2.ax',cls_Tarski_O_91_124_AisLub_AS1_Acl_AL1_59_Az1_A_58_AA_59_AALL_Ay_58S1_O_A_Iy_M_Az1_J_A_58_Ar_A_124_93_A_61_61_62_A_IL1_M_Az1_J_A_58_Ar_A_61_61_ATrue_1) ).
fof(f3338,negated_conjecture,
c_in(v_b,v_A,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3339,negated_conjecture,
c_lessequals(v_S,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),tc_set(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f3342,negated_conjecture,
c_Tarski_OisLub(v_S,v_cl,v_L,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f3345,negated_conjecture,
~ c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).
tcf(c_2812,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_in(c_Pair(X5,X3,X4,X4),X1,tc_prod(X4,X4))
| ~ c_in(X5,X0,X4)
| ~ c_lessequals(X0,c_Tarski_Ointerval(X1,X2,X3,X4),tc_set(X4)) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_2816,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(v_sko__4mi(X0,v_r,X2),X0,t_a)
| c_in(c_Pair(X1,X2,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(X2,v_A,t_a)
| ~ c_Tarski_OisLub(X0,v_cl,X1,t_a) ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_2817,plain,
! [X0: $i,X1: $i,X2: $i] :
( c_in(c_Pair(X2,X1,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(X1,v_A,t_a)
| ~ c_Tarski_OisLub(X0,v_cl,X2,t_a)
| ~ c_in(c_Pair(v_sko__4mi(X0,v_r,X1),X1,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_4963,negated_conjecture,
c_in(v_b,v_A,t_a),
inference(cnf_transformation,[],[f3338]) ).
tcf(c_4964,negated_conjecture,
c_lessequals(v_S,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),tc_set(t_a)),
inference(cnf_transformation,[],[f3339]) ).
tcf(c_4966,negated_conjecture,
c_Tarski_OisLub(v_S,v_cl,v_L,t_a),
inference(cnf_transformation,[],[f3342]) ).
tcf(c_4968,negated_conjecture,
~ c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(cnf_transformation,[],[f3345]) ).
tcf(c_5301,plain,
! [X0: $i] :
( c_in(c_Pair(X0,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(X0,v_S,t_a) ),
inference(superposition,[status(thm)],[c_4964,c_2812]) ).
tcf(c_5324,plain,
! [X0: $i] :
( c_in(v_sko__4mi(v_S,v_r,X0),v_S,t_a)
| c_in(c_Pair(v_L,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_4966,c_2816]) ).
tcf(c_5415,plain,
! [X0: $i,X1: $i] :
( c_in(c_Pair(X1,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(v_b,v_A,t_a)
| ~ c_Tarski_OisLub(X0,v_cl,X1,t_a)
| ~ c_in(v_sko__4mi(X0,v_r,v_b),v_S,t_a) ),
inference(superposition,[status(thm)],[c_5301,c_2817]) ).
tcf(c_5472,plain,
( c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a)
| ~ c_in(v_b,v_A,t_a) ),
inference(superposition,[status(thm)],[c_5324,c_4968]) ).
tcf(c_5651,plain,
! [X0: $i,X1: $i] :
( c_in(c_Pair(X1,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(v_sko__4mi(X0,v_r,v_b),v_S,t_a)
| ~ c_Tarski_OisLub(X0,v_cl,X1,t_a) ),
inference(global_subsumption_just,[status(thm)],[c_5415,c_4963,c_5415]) ).
tcf(c_5652,plain,
! [X0: $i,X1: $i] :
( c_in(c_Pair(X1,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_Tarski_OisLub(X0,v_cl,X1,t_a)
| ~ c_in(v_sko__4mi(X0,v_r,v_b),v_S,t_a) ),
inference(renaming,[status(thm)],[c_5651]) ).
tcf(c_5771,plain,
c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a),
inference(global_subsumption_just,[status(thm)],[c_5472,c_4963,c_5472]) ).
tcf(c_5774,plain,
! [X0: $i] :
( c_in(c_Pair(X0,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_Tarski_OisLub(v_S,v_cl,X0,t_a) ),
inference(superposition,[status(thm)],[c_5771,c_5652]) ).
tcf(c_6298,plain,
~ c_Tarski_OisLub(v_S,v_cl,v_L,t_a),
inference(superposition,[status(thm)],[c_5774,c_4968]) ).
tcf(c_6304,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_4966,c_6298]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT273-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.38 % Computer : n026.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Wed Sep 23 20:48:54 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 0.12/0.42
% 0.12/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.42
% 0.12/0.42 % Detected problem language: tptp
% 0.12/0.44 % Proving...
% 1.27/1.75 % SZS status Started for theBenchmark.p
% 1.27/1.75 % SZS status Unsatisfiable for theBenchmark.p
% 1.27/1.75
% 1.27/1.75 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.27/1.75
% 1.27/1.75 % ------ iProver source info
% 1.27/1.75
% 1.27/1.75 % git: date: 2026-07-19 20:42:38 +0200
% 1.27/1.75 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.27/1.75 % git: non_committed_changes: false
% 1.27/1.75
% 1.27/1.75 % ------ Parsing...% successful
% 1.27/1.75
% 1.27/1.75
% 1.27/1.75 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 1.27/1.75 % ------ Proving...
% 1.27/1.75 % ------ Problem Properties
% 1.27/1.75
% 1.27/1.75 %
% 1.27/1.75 % clauses 2162
% 1.27/1.75 % conjectures 7
% 1.27/1.75 % EPR 670
% 1.27/1.75 % Horn 1970
% 1.27/1.75 % unary 625
% 1.27/1.75 % binary 1083
% 1.27/1.75 % lits 4392
% 1.27/1.75 % lits eq 1178
% 1.27/1.75 % fd_pure 0
% 1.27/1.75 % fd_pseudo 0
% 1.27/1.75 % fd_cond 122
% 1.27/1.75 % fd_pseudo_cond 69
% 1.27/1.75 % AC symbols 0
% 1.27/1.75
% 1.27/1.75 % ------ Input Options Time Limit: Unbounded
% 1.27/1.75
% 1.27/1.75
% 1.27/1.75 % ------
% 1.27/1.75 % Current options:
% 1.27/1.75 % ------
% 1.27/1.75
% 1.27/1.75
% 1.27/1.75 %
% 1.27/1.75
% 1.27/1.75 % ------ Proving...
% 1.27/1.75 %
% 1.27/1.75
% 1.27/1.75 % SZS status Unsatisfiable for theBenchmark.p
% 1.27/1.75
% 1.27/1.75 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.27/1.75
% 1.27/1.75
%------------------------------------------------------------------------------