%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM024-1 : TPTP v9.3.1. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n009.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 02:23:15 PM UTC 2026
% Result : Unsatisfiable 7.87s 1.74s
% Output : CNFRefutation 7.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 28 ( 14 unt; 0 def)
% Number of atoms : 44 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 36 ( 20 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 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; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 44 ( 0 sgn 44 !; 0 ?; 30 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : equalish(add(X0,n0),X0),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM001-0.ax',adding_zero) ).
fof(f9,axiom,
! [X0,X1] :
( equalish(add(successor(predecessor_of_1st_minus_2nd(X1,X0)),X0),X1)
| ~ less(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM001-1.ax',less_lemma) ).
fof(f11,axiom,
! [X0,X1] :
( equalish(X1,X0)
| ~ equalish(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry) ).
fof(f12,axiom,
! [X2,X0,X1] :
( equalish(X0,X2)
| ~ equalish(X1,X2)
| ~ equalish(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity) ).
fof(f13,axiom,
! [X2,X0,X1] :
( equalish(X0,X2)
| ~ equalish(add(X0,X1),add(X2,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus_substitution) ).
fof(f14,axiom,
! [X0,X1] : equalish(add(X0,X1),add(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_plus) ).
fof(f15,axiom,
less(a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',impossible_a_is_less_than_itself) ).
fof(f16,negated_conjecture,
! [X0] : ~ equalish(successor(X0),n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_contradiction) ).
tcf(c_65,plain,
! [X0: $i] : equalish(add(X0,n0),X0),
inference(cnf_transformation,[],[f1]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i] :
( equalish(add(successor(predecessor_of_1st_minus_2nd(X1,X0)),X0),X1)
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i] :
( equalish(X1,X0)
| ~ equalish(X0,X1) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i,X2: $i] :
( equalish(X0,X2)
| ~ equalish(X1,X2)
| ~ equalish(X0,X1) ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i,X2: $i] :
( equalish(X0,X2)
| ~ equalish(add(X0,X1),add(X2,X1)) ),
inference(cnf_transformation,[],[f13]) ).
tcf(c_78,plain,
! [X0: $i,X1: $i] : equalish(add(X0,X1),add(X1,X0)),
inference(cnf_transformation,[],[f14]) ).
tcf(c_79,plain,
less(a,a),
inference(cnf_transformation,[],[f15]) ).
tcf(c_80,negated_conjecture,
! [X0: $i] : ~ equalish(successor(X0),n0),
inference(cnf_transformation,[],[f16]) ).
tcf(c_187,negated_conjecture,
! [X0: $i] : ~ equalish(successor(X0),n0),
inference(demodulation,[status(thm)],[c_80]) ).
tcf(c_5902,plain,
! [X0: $i] : equalish(X0,add(X0,n0)),
inference(superposition,[status(thm)],[c_65,c_75]) ).
tcf(c_5998,plain,
! [X0: $i,X1: $i] :
( equalish(X0,X1)
| ~ equalish(add(X0,n0),X1) ),
inference(superposition,[status(thm)],[c_5902,c_76]) ).
tcf(c_6040,plain,
! [X0: $i,X1: $i] :
( equalish(X1,add(successor(predecessor_of_1st_minus_2nd(X1,X0)),X0))
| ~ less(X0,X1) ),
inference(superposition,[status(thm)],[c_73,c_75]) ).
tcf(c_6177,plain,
! [X0: $i] : equalish(X0,add(n0,X0)),
inference(superposition,[status(thm)],[c_78,c_5998]) ).
tcf(c_6189,plain,
! [X0: $i] : equalish(add(n0,X0),X0),
inference(superposition,[status(thm)],[c_6177,c_75]) ).
tcf(c_6195,plain,
! [X0: $i,X1: $i] :
( equalish(add(n0,X0),X1)
| ~ equalish(X0,X1) ),
inference(superposition,[status(thm)],[c_6189,c_76]) ).
tcf(c_7548,plain,
! [X0: $i,X1: $i] :
( equalish(X1,add(n0,X0))
| ~ equalish(X0,X1) ),
inference(superposition,[status(thm)],[c_6195,c_75]) ).
tcf(c_8940,plain,
! [X0: $i,X1: $i] :
( equalish(X1,n0)
| ~ equalish(X0,add(X1,X0)) ),
inference(superposition,[status(thm)],[c_7548,c_77]) ).
tcf(c_14266,plain,
! [X0: $i] :
( equalish(successor(predecessor_of_1st_minus_2nd(X0,X0)),n0)
| ~ less(X0,X0) ),
inference(superposition,[status(thm)],[c_6040,c_8940]) ).
tcf(c_14282,plain,
! [X0: $i] : ~ less(X0,X0),
inference(forward_subsumption_resolution,[status(thm)],[c_14266,c_187]) ).
tcf(c_14291,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_79,c_14282]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM024-1 : TPTP v9.3.1. Bugfixed v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.35 % Computer : n009.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Thu Sep 24 02:42:28 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 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
% 0.13/0.41
% 0.13/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.41
% 0.13/0.41 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 7.87/1.74 % SZS status Started for theBenchmark.p
% 7.87/1.74 % SZS status Unsatisfiable for theBenchmark.p
% 7.87/1.74
% 7.87/1.74 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 7.87/1.74
% 7.87/1.74 % ------ iProver source info
% 7.87/1.74
% 7.87/1.74 % git: date: 2026-07-19 20:42:38 +0200
% 7.87/1.74 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 7.87/1.74 % git: non_committed_changes: false
% 7.87/1.74
% 7.87/1.74 % ------ Parsing...% successful
% 7.87/1.74
% 7.87/1.74
% 7.87/1.74 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 7.87/1.74
% 7.87/1.74 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 7.87/1.74
% 7.87/1.74 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.87/1.74 % ------ Proving...
% 7.87/1.74 % ------ Problem Properties
% 7.87/1.74
% 7.87/1.74 %
% 7.87/1.74 % clauses 16
% 7.87/1.74 % conjectures 1
% 7.87/1.74 % EPR 5
% 7.87/1.74 % Horn 16
% 7.87/1.74 % unary 8
% 7.87/1.74 % binary 6
% 7.87/1.74 % lits 26
% 7.87/1.74 % lits eq 0
% 7.87/1.74 % fd_pure 0
% 7.87/1.74 % fd_pseudo 0
% 7.87/1.74 % fd_cond 0
% 7.87/1.74 % fd_pseudo_cond 0
% 7.87/1.74 % AC symbols 0
% 7.87/1.74
% 7.87/1.74 % ------ Schedule dynamic 5 is on
% 7.87/1.74
% 7.87/1.74 % ------ no equalities: superposition off
% 7.87/1.74
% 7.87/1.74 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.87/1.74
% 7.87/1.74
% 7.87/1.74 % ------
% 7.87/1.74 % Current options:
% 7.87/1.74 % ------
% 7.87/1.74
% 7.87/1.74
% 7.87/1.74 %
% 7.87/1.74
% 7.87/1.74 % ------ Proving...
% 7.87/1.74 %
% 7.87/1.74
% 7.87/1.74 % SZS status Unsatisfiable for theBenchmark.p
% 7.87/1.74
% 7.87/1.74 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.87/1.75
% 7.87/1.75
%------------------------------------------------------------------------------