%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP580-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n017.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 01:34:46 PM UTC 2026
% Result : Unsatisfiable 3.19s 1.27s
% Output : CNFRefutation 3.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 5
% Syntax : Number of formulae : 46 ( 46 unt; 0 def)
% Number of atoms : 46 ( 45 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 62 ( 0 sgn 62 !; 0 ?; 54 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),X2),double_divide(X1,identity))),double_divide(identity,identity)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f3,axiom,
! [X0] : inverse(X0) = double_divide(X0,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f4,axiom,
! [X0] : identity = double_divide(X0,inverse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
fof(f5,negated_conjecture,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_4) ).
fof(f6,plain,
! [X0] : identity = double_divide(X0,double_divide(X0,identity)),
inference(definition_unfolding,[],[f4,f3]) ).
fof(f7,plain,
double_divide(double_divide(b,a),identity) != double_divide(double_divide(a,b),identity),
inference(definition_unfolding,[],[f5,f2,f2]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(X0,double_divide(double_divide(double_divide(X1,X0),X2),double_divide(X1,identity))),double_divide(identity,identity)) = X2,
inference(cnf_transformation,[],[f1]) ).
tcf(c_55,plain,
! [X0: $i] : double_divide(X0,double_divide(X0,identity)) = identity,
inference(cnf_transformation,[],[f6]) ).
tcf(c_56,negated_conjecture,
double_divide(double_divide(a,b),identity) != double_divide(double_divide(b,a),identity),
inference(cnf_transformation,[],[f7]) ).
tcf(c_95,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(X0,double_divide(identity,double_divide(X1,identity))),double_divide(identity,identity)) = double_divide(double_divide(X1,X0),identity),
inference(superposition,[status(thm)],[c_55,c_54]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(double_divide(X0,identity),double_divide(double_divide(identity,X1),double_divide(X0,identity))),double_divide(identity,identity)) = X1,
inference(superposition,[status(thm)],[c_55,c_54]) ).
tcf(c_99,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(double_divide(double_divide(double_divide(X0,X1),X2),double_divide(X0,identity)),double_divide(X2,double_divide(X1,identity))),double_divide(identity,identity)) = double_divide(identity,identity),
inference(superposition,[status(thm)],[c_54,c_54]) ).
tcf(c_106,plain,
! [X0: $i] : double_divide(double_divide(X0,identity),double_divide(identity,identity)) = double_divide(double_divide(identity,X0),identity),
inference(superposition,[status(thm)],[c_55,c_95]) ).
tcf(c_127,plain,
! [X0: $i] : double_divide(double_divide(double_divide(double_divide(identity,X0),identity),identity),double_divide(identity,identity)) = X0,
inference(superposition,[status(thm)],[c_55,c_97]) ).
tcf(c_153,plain,
! [X0: $i] : double_divide(double_divide(identity,double_divide(double_divide(identity,X0),identity)),identity) = X0,
inference(demodulation,[status(thm)],[c_127,c_106]) ).
tcf(c_154,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(identity,double_divide(double_divide(X0,X1),X0)),double_divide(identity,identity)) = X1,
inference(superposition,[status(thm)],[c_153,c_54]) ).
tcf(c_160,plain,
! [X0: $i] : double_divide(double_divide(identity,double_divide(double_divide(identity,X0),identity)),X0) = identity,
inference(superposition,[status(thm)],[c_153,c_55]) ).
tcf(c_308,plain,
! [X0: $i] : double_divide(double_divide(identity,double_divide(identity,X0)),double_divide(identity,identity)) = double_divide(X0,identity),
inference(superposition,[status(thm)],[c_55,c_154]) ).
tcf(c_317,plain,
double_divide(identity,identity) = identity,
inference(superposition,[status(thm)],[c_154,c_160]) ).
tcf(c_318,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(identity,double_divide(double_divide(X0,X1),X0)),identity) = X1,
inference(demodulation,[status(thm)],[c_154,c_317]) ).
tcf(c_319,plain,
! [X0: $i] : double_divide(double_divide(X0,identity),identity) = double_divide(double_divide(identity,X0),identity),
inference(demodulation,[status(thm)],[c_106,c_317]) ).
tcf(c_365,plain,
! [X0: $i] : double_divide(double_divide(identity,double_divide(identity,X0)),identity) = double_divide(X0,identity),
inference(light_normalisation,[status(thm)],[c_308,c_317]) ).
tcf(c_374,plain,
! [X0: $i] : double_divide(double_divide(identity,double_divide(X0,identity)),identity) = double_divide(identity,X0),
inference(superposition,[status(thm)],[c_365,c_318]) ).
tcf(c_383,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(identity,double_divide(double_divide(X0,X1),X0)),X1) = identity,
inference(superposition,[status(thm)],[c_318,c_55]) ).
tcf(c_510,plain,
! [X0: $i] : double_divide(double_divide(identity,double_divide(identity,X0)),identity) = double_divide(identity,double_divide(identity,double_divide(X0,identity))),
inference(superposition,[status(thm)],[c_374,c_374]) ).
tcf(c_512,plain,
! [X0: $i] : double_divide(double_divide(identity,double_divide(identity,double_divide(X0,identity))),identity) = double_divide(double_divide(identity,X0),identity),
inference(superposition,[status(thm)],[c_374,c_319]) ).
tcf(c_517,plain,
! [X0: $i] : double_divide(identity,double_divide(identity,double_divide(X0,identity))) = double_divide(X0,identity),
inference(light_normalisation,[status(thm)],[c_510,c_365]) ).
tcf(c_557,plain,
! [X0: $i] : double_divide(double_divide(X0,identity),X0) = double_divide(double_divide(identity,identity),identity),
inference(superposition,[status(thm)],[c_383,c_318]) ).
tcf(c_560,plain,
! [X0: $i] : double_divide(double_divide(X0,identity),X0) = identity,
inference(light_normalisation,[status(thm)],[c_557,c_317]) ).
tcf(c_590,plain,
! [X0: $i] : double_divide(double_divide(identity,double_divide(identity,double_divide(X0,identity))),identity) = X0,
inference(superposition,[status(thm)],[c_560,c_318]) ).
tcf(c_599,plain,
! [X0: $i] : double_divide(double_divide(X0,identity),identity) = X0,
inference(light_normalisation,[status(thm)],[c_590,c_512,c_517]) ).
tcf(c_601,plain,
! [X0: $i] : double_divide(double_divide(identity,X0),identity) = X0,
inference(demodulation,[status(thm)],[c_319,c_599]) ).
tcf(c_602,plain,
! [X0: $i] : double_divide(X0,identity) = double_divide(identity,X0),
inference(demodulation,[status(thm)],[c_374,c_601]) ).
tcf(c_603,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(X0,X1),X0) = X1,
inference(demodulation,[status(thm)],[c_318,c_601]) ).
tcf(c_605,plain,
double_divide(double_divide(a,b),identity) != double_divide(identity,double_divide(b,a)),
inference(demodulation,[status(thm)],[c_56,c_602]) ).
tcf(c_649,plain,
double_divide(identity,double_divide(a,b)) != double_divide(identity,double_divide(b,a)),
inference(demodulation,[status(thm)],[c_605,c_602]) ).
tcf(c_661,plain,
! [X0: $i,X1: $i] : double_divide(X0,double_divide(X1,X0)) = X1,
inference(superposition,[status(thm)],[c_603,c_603]) ).
tcf(c_665,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(double_divide(double_divide(double_divide(X0,X1),X2),double_divide(X0,identity)),double_divide(X2,double_divide(X1,identity))),identity) = identity,
inference(light_normalisation,[status(thm)],[c_99,c_317]) ).
tcf(c_666,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(identity,double_divide(double_divide(double_divide(double_divide(X0,X1),X2),double_divide(X0,identity)),double_divide(X2,double_divide(X1,identity)))) = identity,
inference(demodulation,[status(thm)],[c_665,c_602]) ).
tcf(c_682,plain,
! [X0: $i,X1: $i] : double_divide(identity,double_divide(double_divide(double_divide(double_divide(X0,X1),X1),double_divide(X0,identity)),identity)) = identity,
inference(superposition,[status(thm)],[c_55,c_666]) ).
tcf(c_742,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(double_divide(X0,X1),X1),double_divide(X0,identity)) = identity,
inference(demodulation,[status(thm)],[c_682,c_661]) ).
tcf(c_750,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(X0,X1),double_divide(double_divide(X1,X0),identity)) = identity,
inference(superposition,[status(thm)],[c_603,c_742]) ).
tcf(c_913,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(X0,X1),double_divide(identity,double_divide(X1,X0))) = identity,
inference(demodulation,[status(thm)],[c_750,c_602]) ).
tcf(c_936,plain,
! [X0: $i,X1: $i] : double_divide(identity,double_divide(X0,X1)) = double_divide(identity,double_divide(X1,X0)),
inference(superposition,[status(thm)],[c_913,c_603]) ).
tcf(c_941,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_649,c_936]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP580-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n017.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 15:03:14 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.39 Running UEQ theorem proving
% 0.09/0.39 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
% 0.09/0.40
% 0.09/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.40
% 0.09/0.40 % Detected problem language: tptp
% 0.09/0.42 % Proving...
% 3.19/1.27 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 3.19/1.27 % SZS status Started for theBenchmark.p
% 3.19/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 3.19/1.27
% 3.19/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.19/1.27
% 3.19/1.27 % ------ iProver source info
% 3.19/1.27
% 3.19/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 3.19/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.19/1.27 % git: non_committed_changes: false
% 3.19/1.27
% 3.19/1.27 % ------ Parsing...% successful
% 3.19/1.27
% 3.19/1.27
% 3.19/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.19/1.27
% 3.19/1.27 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.19/1.27
% 3.19/1.27 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.19/1.27
% 3.19/1.27 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.19/1.27 % ------ Proving...
% 3.19/1.27 % ------ Problem Properties
% 3.19/1.27
% 3.19/1.27 %
% 3.19/1.27 % clauses 3
% 3.19/1.27 % conjectures 1
% 3.19/1.27 % EPR 0
% 3.19/1.27 % Horn 3
% 3.19/1.27 % unary 3
% 3.19/1.27 % binary 0
% 3.19/1.27 % lits 3
% 3.19/1.27 % lits eq 3
% 3.19/1.27 % fd_pure 0
% 3.19/1.27 % fd_pseudo 0
% 3.19/1.27 % fd_cond 0
% 3.19/1.27 % fd_pseudo_cond 0
% 3.19/1.27 % AC symbols 0
% 3.19/1.27
% 3.19/1.27 % ------ Input Options Time Limit: Unbounded
% 3.19/1.27
% 3.19/1.27
% 3.19/1.27 % ------
% 3.19/1.27 % Current options:
% 3.19/1.27 % ------
% 3.19/1.27
% 3.19/1.27
% 3.19/1.27 %
% 3.19/1.27
% 3.19/1.27 % ------ Proving...
% 3.19/1.27 %
% 3.19/1.27
% 3.19/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 3.19/1.27
% 3.19/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.19/1.27
% 3.19/1.27
%------------------------------------------------------------------------------