%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LAT271-2 : 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 : 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 01:58:30 PM UTC 2026
% Result : Unsatisfiable 1.50s 1.27s
% Output : CNFRefutation 1.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 16 ( 11 unt; 2 def)
% Number of atoms : 30 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 17 ( 10 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 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 : 10 ( 10 usr; 6 con; 0-4 aty)
% Number of variables : 14 ( 0 sgn 14 !; 0 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,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(f2,negated_conjecture,
c_in(v_x,v_S,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f3,negated_conjecture,
~ c_in(c_Pair(v_a,v_x,t_a,t_a),v_r,tc_prod(t_a,t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_7) ).
fof(f4,axiom,
! [X2,X3,X0,X1,X4,X5] :
( c_in(c_Pair(X4,X0,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/theBenchmark.p',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_Ia1_M_Ax1_J_A_58_Ar_A_61_61_ATrue_0) ).
tcf(c_53,negated_conjecture,
c_lessequals(v_S,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),tc_set(t_a)),
inference(cnf_transformation,[],[f1]) ).
tcf(c_54,negated_conjecture,
c_in(v_x,v_S,t_a),
inference(cnf_transformation,[],[f2]) ).
tcf(c_55,negated_conjecture,
~ c_in(c_Pair(v_a,v_x,t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(cnf_transformation,[],[f3]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( c_in(c_Pair(X2,X5,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,[],[f4]) ).
tcf(c_70,plain,
! [X0: $i] :
( c_in(c_Pair(v_a,X0,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(X0,v_S,t_a) ),
inference(resolution,[status(thm)],[c_53,c_56]) ).
tcf(c_88,definition,
iPr_def_10 = tc_prod(t_a,t_a),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_89,definition,
iPr_def_11 = c_Pair(v_a,v_x,t_a,t_a),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_90,plain,
! [X0: $i] :
( c_in(c_Pair(v_a,X0,t_a,t_a),v_r,iPr_def_10)
| ~ c_in(X0,v_S,t_a) ),
inference(demodulation,[status(thm)],[c_70,c_88]) ).
tcf(c_91,negated_conjecture,
~ c_in(iPr_def_11,v_r,iPr_def_10),
inference(demodulation,[status(thm)],[c_55,c_89]) ).
tcf(c_92,negated_conjecture,
c_in(v_x,v_S,t_a),
inference(demodulation,[status(thm)],[c_54]) ).
tcf(c_200,plain,
( c_in(iPr_def_11,v_r,iPr_def_10)
| ~ c_in(v_x,v_S,t_a) ),
inference(superposition,[status(thm)],[c_89,c_90]) ).
tcf(c_201,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_200,c_91,c_92]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT271-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.36 % Computer : n026.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
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Wed Sep 23 20:48:23 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 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
% 0.13/0.41
% 0.13/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.41
% 0.13/0.41 % Detected problem language: tptp
% 0.13/0.43 % Proving...
% 1.50/1.27 % SZS status Started for theBenchmark.p
% 1.50/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 1.50/1.27
% 1.50/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.50/1.27
% 1.50/1.27 % ------ iProver source info
% 1.50/1.27
% 1.50/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 1.50/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.50/1.27 % git: non_committed_changes: false
% 1.50/1.27
% 1.50/1.27 % ------ Parsing...% successful
% 1.50/1.27
% 1.50/1.27
% 1.50/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.50/1.27
% 1.50/1.27 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.50/1.27
% 1.50/1.27 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.50/1.27
% 1.50/1.27 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.50/1.27 % ------ Proving...
% 1.50/1.27 % ------ Problem Properties
% 1.50/1.27
% 1.50/1.27 %
% 1.50/1.27 % clauses 5
% 1.50/1.27 % conjectures 2
% 1.50/1.27 % EPR 2
% 1.50/1.27 % Horn 5
% 1.50/1.27 % unary 4
% 1.50/1.27 % binary 1
% 1.50/1.27 % lits 6
% 1.50/1.27 % lits eq 2
% 1.50/1.27 % fd_pure 0
% 1.50/1.27 % fd_pseudo 0
% 1.50/1.27 % fd_cond 0
% 1.50/1.27 % fd_pseudo_cond 0
% 1.50/1.27 % AC symbols 0
% 1.50/1.27
% 1.50/1.27 % ------ Schedule dynamic 5 is on
% 1.50/1.27
% 1.50/1.27 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.50/1.27
% 1.50/1.27
% 1.50/1.27 % ------
% 1.50/1.27 % Current options:
% 1.50/1.27 % ------
% 1.50/1.27
% 1.50/1.27
% 1.50/1.27 %
% 1.50/1.27
% 1.50/1.27 % ------ Proving...
% 1.50/1.27 %
% 1.50/1.27
% 1.50/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 1.50/1.27
% 1.50/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.50/1.27
% 1.50/1.27
%------------------------------------------------------------------------------