%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LAT273-2 : 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 : n004.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 1.63s 1.28s
% Output : CNFRefutation 1.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 29 ( 14 unt; 2 def)
% Number of atoms : 74 ( 2 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 63 ( 31 ~; 32 |; 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 : 7 ( 5 usr; 3 prp; 0-4 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-4 aty)
% Number of variables : 30 ( 0 sgn 30 !; 0 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,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/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_Ix1_M_Ab1_J_A_58_Ar_A_61_61_ATrue_0) ).
fof(f2,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/theBenchmark.p',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(f3,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/theBenchmark.p',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(f4,negated_conjecture,
c_in(v_b,v_A,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f5,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(f6,negated_conjecture,
c_Tarski_OisLub(v_S,v_cl,v_L,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f7,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_56,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,[],[f1]) ).
tcf(c_57,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,[],[f2]) ).
tcf(c_58,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,[],[f3]) ).
tcf(c_59,negated_conjecture,
c_in(v_b,v_A,t_a),
inference(cnf_transformation,[],[f4]) ).
tcf(c_60,negated_conjecture,
c_lessequals(v_S,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),tc_set(t_a)),
inference(cnf_transformation,[],[f5]) ).
tcf(c_61,negated_conjecture,
c_Tarski_OisLub(v_S,v_cl,v_L,t_a),
inference(cnf_transformation,[],[f6]) ).
tcf(c_62,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,[],[f7]) ).
tcf(c_96,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(resolution,[status(thm)],[c_56,c_60]) ).
tcf(c_106,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(resolution,[status(thm)],[c_57,c_61]) ).
tcf(c_117,plain,
! [X0: $i] :
( 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)
| ~ c_in(c_Pair(v_sko__4mi(v_S,v_r,X0),X0,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(resolution,[status(thm)],[c_58,c_61]) ).
tcf(c_154,definition,
iPr_def_10 = tc_prod(t_a,t_a),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_155,definition,
iPr_def_11 = c_Pair(v_L,v_b,t_a,t_a),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_156,plain,
! [X0: $i] :
( c_in(c_Pair(v_L,X0,t_a,t_a),v_r,iPr_def_10)
| ~ c_in(X0,v_A,t_a)
| ~ c_in(c_Pair(v_sko__4mi(v_S,v_r,X0),X0,t_a,t_a),v_r,iPr_def_10) ),
inference(demodulation,[status(thm)],[c_117,c_154]) ).
tcf(c_157,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,iPr_def_10)
| ~ c_in(X0,v_A,t_a) ),
inference(demodulation,[status(thm)],[c_106]) ).
tcf(c_158,plain,
! [X0: $i] :
( c_in(c_Pair(X0,v_b,t_a,t_a),v_r,iPr_def_10)
| ~ c_in(X0,v_S,t_a) ),
inference(demodulation,[status(thm)],[c_96]) ).
tcf(c_159,negated_conjecture,
~ c_in(iPr_def_11,v_r,iPr_def_10),
inference(demodulation,[status(thm)],[c_62,c_155]) ).
tcf(c_160,negated_conjecture,
c_in(v_b,v_A,t_a),
inference(demodulation,[status(thm)],[c_59]) ).
tcf(c_320,plain,
( c_in(c_Pair(v_L,v_b,t_a,t_a),v_r,iPr_def_10)
| ~ c_in(v_b,v_A,t_a)
| ~ c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a) ),
inference(superposition,[status(thm)],[c_158,c_156]) ).
tcf(c_321,plain,
( c_in(iPr_def_11,v_r,iPr_def_10)
| ~ c_in(v_b,v_A,t_a)
| ~ c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a) ),
inference(light_normalisation,[status(thm)],[c_320,c_155]) ).
tcf(c_322,plain,
~ c_in(v_sko__4mi(v_S,v_r,v_b),v_S,t_a),
inference(forward_subsumption_resolution,[status(thm)],[c_321,c_159,c_160]) ).
tcf(c_324,plain,
( c_in(iPr_def_11,v_r,iPr_def_10)
| 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_155,c_157]) ).
tcf(c_326,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_324,c_159,c_322,c_160]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT273-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n004.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Wed Sep 23 20:46:08 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.41 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
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 1.63/1.28 % SZS status Started for theBenchmark.p
% 1.63/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 1.63/1.28
% 1.63/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.63/1.28
% 1.63/1.28 % ------ iProver source info
% 1.63/1.28
% 1.63/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 1.63/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.63/1.28 % git: non_committed_changes: false
% 1.63/1.28
% 1.63/1.28 % ------ Parsing...% successful
% 1.63/1.28
% 1.63/1.28
% 1.63/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.63/1.28
% 1.63/1.28 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.63/1.28
% 1.63/1.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.63/1.28
% 1.63/1.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.63/1.28 % ------ Proving...
% 1.63/1.28 % ------ Problem Properties
% 1.63/1.28
% 1.63/1.28 %
% 1.63/1.28 % clauses 7
% 1.63/1.28 % conjectures 2
% 1.63/1.28 % EPR 2
% 1.63/1.28 % Horn 6
% 1.63/1.28 % unary 4
% 1.63/1.28 % binary 1
% 1.63/1.28 % lits 12
% 1.63/1.28 % lits eq 2
% 1.63/1.28 % fd_pure 0
% 1.63/1.28 % fd_pseudo 0
% 1.63/1.28 % fd_cond 0
% 1.63/1.28 % fd_pseudo_cond 0
% 1.63/1.28 % AC symbols 0
% 1.63/1.28
% 1.63/1.28 % ------ Schedule dynamic 5 is on
% 1.63/1.28
% 1.63/1.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.63/1.28
% 1.63/1.28
% 1.63/1.28 % ------
% 1.63/1.28 % Current options:
% 1.63/1.28 % ------
% 1.63/1.28
% 1.63/1.28
% 1.63/1.28 %
% 1.63/1.28
% 1.63/1.28 % ------ Proving...
% 1.63/1.28 %
% 1.63/1.28
% 1.63/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 1.63/1.28
% 1.63/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.63/1.28
% 1.63/1.28
%------------------------------------------------------------------------------