%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LAT272-1 : 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 : 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 6.00s 1.75s
% Output : CNFRefutation 6.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 8 unt; 0 def)
% Number of atoms : 16 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 13 ( 8 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 3 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-4 aty)
% Number of variables : 7 ( 0 sgn 7 !; 0 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
fof(f13,axiom,
! [X2,X0,X1] :
( c_in(c_Pair(X2,X1,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(X2,X0,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_Ay1_A_58_AS1_A_124_93_A_61_61_62_A_Iy1_M_AL1_J_A_58_Ar_A_61_61_ATrue_0) ).
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(v_x,v_S,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f3346,negated_conjecture,
~ c_in(c_Pair(v_x,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_7) ).
tcf(c_2816,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(X2,X0,t_a)
| ~ c_Tarski_OisLub(X0,v_cl,X1,t_a) ),
inference(cnf_transformation,[],[f13]) ).
tcf(c_4967,negated_conjecture,
c_Tarski_OisLub(v_S,v_cl,v_L,t_a),
inference(cnf_transformation,[],[f3342]) ).
tcf(c_4969,negated_conjecture,
c_in(v_x,v_S,t_a),
inference(cnf_transformation,[],[f3345]) ).
tcf(c_4970,negated_conjecture,
~ c_in(c_Pair(v_x,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(cnf_transformation,[],[f3346]) ).
tcf(c_5282,plain,
! [X0: $i] :
( c_in(c_Pair(X0,v_L,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(X0,v_S,t_a) ),
inference(superposition,[status(thm)],[c_4967,c_2816]) ).
tcf(c_5384,plain,
~ c_in(v_x,v_S,t_a),
inference(superposition,[status(thm)],[c_5282,c_4970]) ).
tcf(c_5387,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_4969,c_5384]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT272-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36 % 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 20:45:52 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/0.42 Running first-order theorem proving
% 0.15/0.42 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
% 0.15/0.43
% 0.15/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.15/0.43
% 0.15/0.43 % Detected problem language: tptp
% 0.15/0.44 % Proving...
% 6.00/1.75 % SZS status Started for theBenchmark.p
% 6.00/1.75 % SZS status Unsatisfiable for theBenchmark.p
% 6.00/1.75
% 6.00/1.75 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 6.00/1.75
% 6.00/1.75 % ------ iProver source info
% 6.00/1.75
% 6.00/1.75 % git: date: 2026-07-19 20:42:38 +0200
% 6.00/1.75 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 6.00/1.75 % git: non_committed_changes: false
% 6.00/1.75
% 6.00/1.75 % ------ Parsing...% successful
% 6.00/1.75
% 6.00/1.75
% 6.00/1.75 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 6.00/1.75 % ------ Proving...
% 6.00/1.75 % ------ Problem Properties
% 6.00/1.75
% 6.00/1.75 %
% 6.00/1.75 % clauses 2163
% 6.00/1.75 % conjectures 8
% 6.00/1.75 % EPR 671
% 6.00/1.75 % Horn 1971
% 6.00/1.75 % unary 626
% 6.00/1.75 % binary 1083
% 6.00/1.75 % lits 4393
% 6.00/1.75 % lits eq 1178
% 6.00/1.75 % fd_pure 0
% 6.00/1.75 % fd_pseudo 0
% 6.00/1.75 % fd_cond 122
% 6.00/1.75 % fd_pseudo_cond 69
% 6.00/1.75 % AC symbols 0
% 6.00/1.75
% 6.00/1.75 % ------ Input Options Time Limit: Unbounded
% 6.00/1.75
% 6.00/1.75
% 6.00/1.75 % ------
% 6.00/1.75 % Current options:
% 6.00/1.75 % ------
% 6.00/1.75
% 6.00/1.75
% 6.00/1.75 %
% 6.00/1.75
% 6.00/1.75 % ------ Proving...
% 6.00/1.75 %
% 6.00/1.75
% 6.00/1.75 % SZS status Unsatisfiable for theBenchmark.p
% 6.00/1.75
% 6.00/1.75 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 6.00/1.75
% 6.00/1.75
%------------------------------------------------------------------------------