%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV578-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n011.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 03:23:50 PM UTC 2026
% Result : Unsatisfiable 8.32s 1.73s
% Output : CNFRefutation 8.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 15 ( 11 unt; 0 def)
% Number of atoms : 22 ( 10 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 16 ( 9 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-4 aty)
% Number of variables : 21 ( 0 sgn 21 !; 0 ?; 13 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1277,axiom,
! [X2,X3,X0,X1] :
( ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X2,tc_nat),X3))
| c_Finite__Set_Osetsum(X1,c_SetInterval_Oord__class_OatLeastLessThan(X2,X3,tc_nat),tc_nat,X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(X1,X2)),c_Finite__Set_Osetsum(X1,c_SetInterval_Oord__class_OatLeastLessThan(hAPP(c_Suc,X2),X3,tc_nat),tc_nat,X0))
| ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_setsum__head__upt__Suc_0) ).
fof(f1281,axiom,
hBOOL(hAPP(c_HOL_Oord__class_Oless(v_m,tc_nat),v_n)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less_0) ).
fof(f1282,axiom,
! [X0,X1] : c_SetInterval_Oord__class_OatLeastLessThan(hAPP(c_Suc,X0),X1,tc_nat) = c_SetInterval_Oord__class_OgreaterThanLessThan(X0,X1,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_atLeastSucLessThan__greaterThanLessThan_0) ).
fof(f1283,plain,
! [X0,X1] : c_SetInterval_Oord__class_OgreaterThanLessThan(X0,X1,tc_nat) = c_SetInterval_Oord__class_OatLeastLessThan(hAPP(c_Suc,X0),X1,tc_nat),
inference(reorient_equations,[],[f1282]) ).
fof(f1307,negated_conjecture,
class_OrderedGroup_Ocomm__monoid__add(t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f1308,negated_conjecture,
hAPP(hAPP(c_HOL_Oplus__class_Oplus(t_a),hAPP(v_f,v_m)),c_Finite__Set_Osetsum(v_f,c_SetInterval_Oord__class_OgreaterThanLessThan(v_m,v_n,tc_nat),tc_nat,t_a)) != c_Finite__Set_Osetsum(v_f,c_SetInterval_Oord__class_OatLeastLessThan(v_m,v_n,tc_nat),tc_nat,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
tcf(c_2042,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),hAPP(X3,X0)),c_Finite__Set_Osetsum(X3,c_SetInterval_Oord__class_OatLeastLessThan(hAPP(c_Suc,X0),X1,tc_nat),tc_nat,X2)) = c_Finite__Set_Osetsum(X3,c_SetInterval_Oord__class_OatLeastLessThan(X0,X1,tc_nat),tc_nat,X2) )
| ~ class_OrderedGroup_Ocomm__monoid__add(X2)
| ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1)) ),
inference(cnf_transformation,[],[f1277]) ).
tcf(c_2046,plain,
hBOOL(hAPP(c_HOL_Oord__class_Oless(v_m,tc_nat),v_n)),
inference(cnf_transformation,[],[f1281]) ).
tcf(c_2047,plain,
! [X0: $i,X1: $i] : c_SetInterval_Oord__class_OatLeastLessThan(hAPP(c_Suc,X0),X1,tc_nat) = c_SetInterval_Oord__class_OgreaterThanLessThan(X0,X1,tc_nat),
inference(cnf_transformation,[],[f1283]) ).
tcf(c_2067,negated_conjecture,
class_OrderedGroup_Ocomm__monoid__add(t_a),
inference(cnf_transformation,[],[f1307]) ).
tcf(c_2068,negated_conjecture,
hAPP(hAPP(c_HOL_Oplus__class_Oplus(t_a),hAPP(v_f,v_m)),c_Finite__Set_Osetsum(v_f,c_SetInterval_Oord__class_OgreaterThanLessThan(v_m,v_n,tc_nat),tc_nat,t_a)) != c_Finite__Set_Osetsum(v_f,c_SetInterval_Oord__class_OatLeastLessThan(v_m,v_n,tc_nat),tc_nat,t_a),
inference(cnf_transformation,[],[f1308]) ).
tcf(c_2536,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),hAPP(X3,X0)),c_Finite__Set_Osetsum(X3,c_SetInterval_Oord__class_OgreaterThanLessThan(X0,X1,tc_nat),tc_nat,X2)) = c_Finite__Set_Osetsum(X3,c_SetInterval_Oord__class_OatLeastLessThan(X0,X1,tc_nat),tc_nat,X2) )
| ~ class_OrderedGroup_Ocomm__monoid__add(X2)
| ~ hBOOL(hAPP(c_HOL_Oord__class_Oless(X0,tc_nat),X1)) ),
inference(demodulation,[status(thm)],[c_2042,c_2047]) ).
tcf(c_2546,plain,
! [X0: $i,X1: $i] :
( ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(X1,v_m)),c_Finite__Set_Osetsum(X1,c_SetInterval_Oord__class_OgreaterThanLessThan(v_m,v_n,tc_nat),tc_nat,X0)) = c_Finite__Set_Osetsum(X1,c_SetInterval_Oord__class_OatLeastLessThan(v_m,v_n,tc_nat),tc_nat,X0) )
| ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
inference(superposition,[status(thm)],[c_2046,c_2536]) ).
tcf(c_3365,plain,
! [X0: $i] : hAPP(hAPP(c_HOL_Oplus__class_Oplus(t_a),hAPP(X0,v_m)),c_Finite__Set_Osetsum(X0,c_SetInterval_Oord__class_OgreaterThanLessThan(v_m,v_n,tc_nat),tc_nat,t_a)) = c_Finite__Set_Osetsum(X0,c_SetInterval_Oord__class_OatLeastLessThan(v_m,v_n,tc_nat),tc_nat,t_a),
inference(superposition,[status(thm)],[c_2067,c_2546]) ).
tcf(c_3368,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_2068,c_3365]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV578-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.36 % Computer : n011.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Thu Sep 24 20:38:14 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.41
% 0.11/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.41
% 0.11/0.41 % Detected problem language: tptp
% 0.11/0.43 % Proving...
% 8.32/1.73 % SZS status Started for theBenchmark.p
% 8.32/1.73 % SZS status Unsatisfiable for theBenchmark.p
% 8.32/1.73
% 8.32/1.73 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 8.32/1.73
% 8.32/1.73 % ------ iProver source info
% 8.32/1.73
% 8.32/1.73 % git: date: 2026-07-19 20:42:38 +0200
% 8.32/1.73 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 8.32/1.73 % git: non_committed_changes: false
% 8.32/1.73
% 8.32/1.73 % ------ Parsing...% successful
% 8.32/1.73
% 8.32/1.73
% 8.32/1.73 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 8.32/1.73 % ------ Proving...
% 8.32/1.73 % ------ Problem Properties
% 8.32/1.73
% 8.32/1.73 %
% 8.32/1.73 % clauses 917
% 8.32/1.73 % conjectures 2
% 8.32/1.73 % EPR 115
% 8.32/1.73 % Horn 789
% 8.32/1.73 % unary 138
% 8.32/1.73 % binary 297
% 8.32/1.73 % lits 2580
% 8.32/1.73 % lits eq 466
% 8.32/1.73 % fd_pure 0
% 8.32/1.73 % fd_pseudo 0
% 8.32/1.73 % fd_cond 0
% 8.32/1.73 % fd_pseudo_cond 89
% 8.32/1.73 % AC symbols 0
% 8.32/1.73
% 8.32/1.73 % ------ Input Options Time Limit: Unbounded
% 8.32/1.73
% 8.32/1.73
% 8.32/1.73 % ------
% 8.32/1.73 % Current options:
% 8.32/1.73 % ------
% 8.32/1.73
% 8.32/1.73
% 8.32/1.73 %
% 8.32/1.73
% 8.32/1.73 % ------ Proving...
% 8.32/1.73 %
% 8.32/1.73
% 8.32/1.73 % SZS status Unsatisfiable for theBenchmark.p
% 8.32/1.73
% 8.32/1.73 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.32/1.73
% 8.32/1.73
%------------------------------------------------------------------------------