%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP458-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n003.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 01:34:18 PM UTC 2026
% Result : Unsatisfiable 2.00s 1.25s
% Output : CNFRefutation 2.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 18 unt; 0 def)
% Number of atoms : 18 ( 17 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 21 ( 0 sgn 21 !; 0 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(divide(X0,X0),divide(X0,divide(X1,divide(divide(identity,X0),X2)))),X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = divide(X0,divide(identity,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f5,axiom,
! [X0] : identity = divide(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
fof(f6,plain,
! [X0] : divide(X0,X0) = identity,
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
multiply(identity,a2) != a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_2) ).
fof(f8,plain,
a2 != multiply(identity,a2),
inference(reorient_equations,[],[f7]) ).
fof(f9,plain,
a2 != divide(identity,divide(identity,a2)),
inference(definition_unfolding,[],[f8,f2]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(divide(X0,X0),divide(X0,divide(X1,divide(divide(identity,X0),X2)))),X2) = X1,
inference(cnf_transformation,[],[f1]) ).
tcf(c_55,plain,
! [X0: $i] : divide(X0,X0) = identity,
inference(cnf_transformation,[],[f6]) ).
tcf(c_56,negated_conjecture,
divide(identity,divide(identity,a2)) != a2,
inference(cnf_transformation,[],[f9]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(identity,divide(X0,divide(X1,divide(divide(identity,X0),X2)))),X2) = X1,
inference(light_normalisation,[status(thm)],[c_54,c_55]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i] : divide(divide(identity,divide(X0,divide(X1,identity))),divide(identity,X0)) = X1,
inference(superposition,[status(thm)],[c_55,c_65]) ).
tcf(c_155,plain,
! [X0: $i] : divide(divide(identity,identity),divide(identity,divide(X0,identity))) = X0,
inference(superposition,[status(thm)],[c_55,c_97]) ).
tcf(c_183,plain,
! [X0: $i] : divide(identity,divide(identity,divide(X0,identity))) = X0,
inference(demodulation,[status(thm)],[c_155,c_55]) ).
tcf(c_190,plain,
! [X0: $i] : divide(X0,divide(identity,identity)) = X0,
inference(superposition,[status(thm)],[c_183,c_97]) ).
tcf(c_213,plain,
! [X0: $i] : divide(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_190,c_55]) ).
tcf(c_214,plain,
! [X0: $i] : divide(identity,divide(identity,X0)) = X0,
inference(demodulation,[status(thm)],[c_183,c_213]) ).
tcf(c_218,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_56,c_214]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP458-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.35 % Computer : n003.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Wed Sep 23 14:50:04 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.39 Running UEQ theorem proving
% 0.13/0.39 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s ueq_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.40
% 0.13/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.40
% 0.13/0.40 % Detected problem language: tptp
% 0.13/0.41 % Proving...
% 2.00/1.25 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 2.00/1.25 % SZS status Started for theBenchmark.p
% 2.00/1.25 % SZS status Unsatisfiable for theBenchmark.p
% 2.00/1.25
% 2.00/1.25 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.00/1.25
% 2.00/1.25 % ------ iProver source info
% 2.00/1.25
% 2.00/1.25 % git: date: 2026-07-19 20:42:38 +0200
% 2.00/1.25 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.00/1.25 % git: non_committed_changes: false
% 2.00/1.25
% 2.00/1.25 % ------ Parsing...% successful
% 2.00/1.25
% 2.00/1.25
% 2.00/1.25 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.00/1.25
% 2.00/1.25 % ------ Preprocessing... sup_sim: 1 sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.00/1.25
% 2.00/1.25 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.00/1.25
% 2.00/1.25 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 2.00/1.25 % ------ Proving...
% 2.00/1.25 % ------ Problem Properties
% 2.00/1.25
% 2.00/1.25 %
% 2.00/1.25 % clauses 3
% 2.00/1.25 % conjectures 1
% 2.00/1.25 % EPR 0
% 2.00/1.25 % Horn 3
% 2.00/1.25 % unary 3
% 2.00/1.25 % binary 0
% 2.00/1.25 % lits 3
% 2.00/1.25 % lits eq 3
% 2.00/1.25 % fd_pure 0
% 2.00/1.25 % fd_pseudo 0
% 2.00/1.25 % fd_cond 0
% 2.00/1.25 % fd_pseudo_cond 0
% 2.00/1.25 % AC symbols 0
% 2.00/1.25
% 2.00/1.25 % ------ Input Options Time Limit: Unbounded
% 2.00/1.25
% 2.00/1.25
% 2.00/1.25 % ------
% 2.00/1.25 % Current options:
% 2.00/1.25 % ------
% 2.00/1.25
% 2.00/1.25
% 2.00/1.25 %
% 2.00/1.25
% 2.00/1.25 % ------ Proving...
% 2.00/1.25 %
% 2.00/1.25
% 2.00/1.25 % SZS status Unsatisfiable for theBenchmark.p
% 2.00/1.25
% 2.00/1.25 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.00/1.25
% 2.00/1.25
%------------------------------------------------------------------------------