%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ARI559_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n001.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 12:58:24 PM UTC 2026
% Result : Theorem 0.47s 1.29s
% Output : CNFRefutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 18
% Syntax : Number of formulae : 30 ( 24 unt; 0 typ; 0 def)
% Number of atoms : 40 ( 26 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 19 ( 9 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number arithmetic : 137 ( 13 atm; 52 fun; 25 num; 47 var)
% Number of types : 2 ( 0 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 0 usr; 4 con; 0-2 aty)
% Number of variables : 47 ( 0 sgn 47 !; 0 ?; 47 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_1,type,
$bool: $tType ).
tff(f1,conjecture,
$product($sum(-1/2,-1/3),0/1) = 0/1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rat_combined_problem_19) ).
tff(f2,negated_conjecture,
( ( ~ $product($sum(-1/2,-1/3),0/1) ) = 0/1 ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
! [X0: $rat,X1: $rat] : ( $sum(X0,X1) = $sum(X1,X0) ),
introduced(definition,[],[tha_commutativity]) ).
tff(f4,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2) ),
introduced(definition,[],[tha_associativity]) ).
tff(f5,plain,
! [X0: $rat] : ( $sum(X0,0/1) = X0 ),
introduced(definition,[],[tha_right_identity]) ).
tff(f6,plain,
! [X0: $rat,X1: $rat] : ( $uminus($sum(X0,X1)) = $sum($uminus(X1),$uminus(X0)) ),
introduced(definition,[],[tha_inverse_op_op_inverses]) ).
tff(f7,plain,
! [X0: $rat] : ( 0/1 = $sum(X0,$uminus(X0)) ),
introduced(definition,[],[tha_inverse_op_unit]) ).
tff(f8,plain,
! [X0: $rat] : ~ $less(X0,X0),
introduced(definition,[],[tha_non-reflexivity]) ).
tff(f9,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less(X0,X2)
| ~ $less(X1,X2)
| ~ $less(X0,X1) ),
introduced(definition,[],[tha_transitivity]) ).
tff(f10,plain,
! [X0: $rat,X1: $rat] :
( ( X0 = X1 )
| $less(X1,X0)
| $less(X0,X1) ),
introduced(definition,[],[tha_order_totality]) ).
tff(f11,plain,
! [X2: $rat,X0: $rat,X1: $rat] :
( $less($sum(X0,X2),$sum(X1,X2))
| ~ $less(X0,X1) ),
introduced(definition,[],[tha_order_monotonicity]) ).
tff(f12,plain,
! [X0: $rat,X1: $rat] :
( $less(X1,$sum(X0,1/1))
| $less(X0,X1) ),
introduced(definition,[],[tha_order_plus_one_dichotomy]) ).
tff(f13,plain,
! [X0: $rat] : ( $uminus($uminus(X0)) = X0 ),
introduced(definition,[],[tha_minus_minus_x]) ).
tff(f14,plain,
! [X0: $rat,X1: $rat] : ( $product(X0,X1) = $product(X1,X0) ),
introduced(definition,[],[tha_commutativity]) ).
tff(f15,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $product(X0,$product(X1,X2)) = $product($product(X0,X1),X2) ),
introduced(definition,[],[tha_associativity]) ).
tff(f16,plain,
! [X0: $rat] : ( $product(X0,1/1) = X0 ),
introduced(definition,[],[tha_right_identity]) ).
tff(f17,plain,
! [X0: $rat] : ( 0/1 = $product(X0,0/1) ),
introduced(definition,[],[tha_times_zero]) ).
tff(f18,plain,
! [X2: $rat,X0: $rat,X1: $rat] : ( $product(X0,$sum(X1,X2)) = $sum($product(X0,X1),$product(X0,X2)) ),
introduced(definition,[],[tha_distributivity]) ).
tff(f19,plain,
! [X2: $rat,X3: $rat,X0: $rat,X1: $rat] :
( ( X2 = X3 )
| ( $product(X0,X3) != X1 )
| ( $product(X0,X2) != X1 )
| ( 0/1 = X0 ) ),
introduced(definition,[],[tha_divisibility]) ).
tff(f20,plain,
0/1 != $product($sum(-1/2,-1/3),0/1),
inference(flattening,[],[f2]) ).
tcf(c_51,negated_conjecture,
! [X0_rat: $rat] : $product(X0_rat,0/1) = 0/1,
inference(cnf_transformation,[],[f17]) ).
tcf(c_52,negated_conjecture,
! [X0_rat: $rat] : $product(X0_rat,1/1) = X0_rat,
inference(cnf_transformation,[],[f16]) ).
tcf(c_54,negated_conjecture,
! [X0_rat: $rat,X1_rat: $rat] : $product(X0_rat,X1_rat) = $product(X1_rat,X0_rat),
inference(cnf_transformation,[],[f14]) ).
tcf(c_55,negated_conjecture,
! [X0_rat: $rat] : $uminus($uminus(X0_rat)) = X0_rat,
inference(cnf_transformation,[],[f13]) ).
tcf(c_56,negated_conjecture,
! [X0_rat: $rat,X1_rat: $rat] :
( $less(X1_rat,X0_rat)
| $less(X0_rat,$sum(X1_rat,1/1)) ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_60,negated_conjecture,
! [X0_rat: $rat] : ~ $less(X0_rat,X0_rat),
inference(cnf_transformation,[],[f8]) ).
tcf(c_61,negated_conjecture,
! [X0_rat: $rat] : $sum(X0_rat,$uminus(X0_rat)) = 0/1,
inference(cnf_transformation,[],[f7]) ).
tcf(c_63,negated_conjecture,
! [X0_rat: $rat] : $sum(X0_rat,0/1) = X0_rat,
inference(cnf_transformation,[],[f5]) ).
tcf(c_65,negated_conjecture,
! [X0_rat: $rat,X1_rat: $rat] : $sum(X0_rat,X1_rat) = $sum(X1_rat,X0_rat),
inference(cnf_transformation,[],[f3]) ).
tcf(c_135,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_65,c_63,c_61,c_60,c_56,c_55,c_54,c_52,c_51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI559_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.37 % Computer : n001.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Fri Sep 25 06:21:24 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.40 Running TFA theorem proving
% 0.12/0.40 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s tfa_schedule -t 300 /export/starexec/sandbox2/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
% 0.12/0.43 % Proving...
% 0.47/1.29 % SZS status Started for theBenchmark.p
% 0.47/1.29 ERROR - "ProverProcess:heur/schedule_none:304.9999735355377" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("undefined enum value")
% 0.47/1.29 Fatal error: exception Failure("undefined enum value")
% 0.47/1.29 ERROR - cmd was: ulimit -v 4023281; ./res/iproveropt --schedule none --sub_typing false --suppress_sat_res true --tptp_safe_out true --stats_out none --out_options none --proof_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode tclausify -t 101.67 --show_fool true" --time_out_real 305.00 /export/starexec/sandbox2/benchmark/theBenchmark.p 1>> /export/starexec/sandbox2/tmp/iprover_out_3h1twsdj/i9rj3s64 2>> /export/starexec/sandbox2/tmp/iprover_out_3h1twsdj/i9rj3s64_error
% 0.47/1.29 % SZS status Theorem for theBenchmark.p
% 0.47/1.29
% 0.47/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.47/1.29
% 0.47/1.29 % ------ iProver source info
% 0.47/1.29
% 0.47/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 0.47/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.47/1.29 % git: non_committed_changes: false
% 0.47/1.29
% 0.47/1.29 % ------ Parsing...
% 0.47/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.47/1.29
% 0.47/1.29 % ------ Preprocessing...%
% 0.47/1.29
% 0.47/1.29 % SZS status Theorem for theBenchmark.p
% 0.47/1.29
% 0.47/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.47/1.29
% 0.47/1.29
%------------------------------------------------------------------------------