%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP576-1 : 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 : 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 01:34:46 PM UTC 2026
% Result : Unsatisfiable 2.91s 1.25s
% Output : CNFRefutation 2.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 5
% Syntax : Number of formulae : 39 ( 39 unt; 0 def)
% Number of atoms : 39 ( 38 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 9 ( 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 : 48 ( 0 sgn 48 !; 0 ?; 40 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X2,X0)),double_divide(X2,identity))),double_divide(identity,identity)) = X1,
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(X1,double_divide(X2,X0)),double_divide(X2,identity))),double_divide(identity,identity)) = X1,
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_94,plain,
! [X0: $i] : double_divide(double_divide(identity,double_divide(identity,double_divide(X0,identity))),double_divide(identity,identity)) = X0,
inference(superposition,[status(thm)],[c_55,c_54]) ).
tcf(c_96,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(double_divide(X0,identity),double_divide(double_divide(X1,identity),double_divide(X0,identity))),double_divide(identity,identity)) = X1,
inference(superposition,[status(thm)],[c_55,c_54]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(double_divide(double_divide(identity,identity),double_divide(double_divide(X0,X1),double_divide(double_divide(X2,double_divide(double_divide(X1,double_divide(X3,X2)),double_divide(X3,identity))),identity))),double_divide(identity,identity)) = X0,
inference(superposition,[status(thm)],[c_54,c_54]) ).
tcf(c_103,plain,
double_divide(double_divide(identity,identity),double_divide(identity,identity)) = identity,
inference(superposition,[status(thm)],[c_55,c_94]) ).
tcf(c_106,plain,
! [X0: $i] : double_divide(double_divide(double_divide(X0,identity),X0),double_divide(identity,identity)) = identity,
inference(superposition,[status(thm)],[c_94,c_54]) ).
tcf(c_111,plain,
double_divide(double_divide(identity,double_divide(identity,double_divide(identity,identity))),double_divide(identity,identity)) = double_divide(identity,identity),
inference(superposition,[status(thm)],[c_103,c_54]) ).
tcf(c_118,plain,
! [X0: $i] : double_divide(double_divide(identity,double_divide(identity,double_divide(identity,identity))),double_divide(identity,identity)) = double_divide(double_divide(X0,identity),X0),
inference(superposition,[status(thm)],[c_106,c_54]) ).
tcf(c_119,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_106,c_54]) ).
tcf(c_121,plain,
! [X0: $i] : double_divide(double_divide(X0,identity),X0) = double_divide(identity,identity),
inference(light_normalisation,[status(thm)],[c_118,c_111]) ).
tcf(c_122,plain,
double_divide(double_divide(identity,identity),identity) = identity,
inference(demodulation,[status(thm)],[c_103,c_119]) ).
tcf(c_130,plain,
double_divide(identity,identity) = identity,
inference(demodulation,[status(thm)],[c_122,c_121]) ).
tcf(c_132,plain,
! [X0: $i,X1: $i,X2: $i] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X2,X0)),double_divide(X2,identity))),identity) = X1,
inference(demodulation,[status(thm)],[c_54,c_130]) ).
tcf(c_135,plain,
! [X0: $i] : double_divide(double_divide(X0,identity),X0) = identity,
inference(light_normalisation,[status(thm)],[c_121,c_130]) ).
tcf(c_138,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(double_divide(X0,identity),double_divide(double_divide(X1,identity),double_divide(X0,identity))),identity) = X1,
inference(light_normalisation,[status(thm)],[c_96,c_130]) ).
tcf(c_149,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(X0,double_divide(double_divide(X1,identity),X0)),identity) = X1,
inference(superposition,[status(thm)],[c_138,c_138]) ).
tcf(c_186,plain,
! [X0: $i] : double_divide(double_divide(X0,identity),identity) = double_divide(double_divide(identity,X0),identity),
inference(light_normalisation,[status(thm)],[c_119,c_130]) ).
tcf(c_240,plain,
! [X0: $i] : double_divide(double_divide(X0,identity),identity) = X0,
inference(superposition,[status(thm)],[c_135,c_149]) ).
tcf(c_263,plain,
! [X0: $i] : double_divide(double_divide(identity,X0),identity) = X0,
inference(demodulation,[status(thm)],[c_186,c_240]) ).
tcf(c_291,plain,
! [X0: $i,X1: $i] : double_divide(X0,double_divide(double_divide(X1,identity),X0)) = double_divide(X1,identity),
inference(superposition,[status(thm)],[c_149,c_240]) ).
tcf(c_316,plain,
! [X0: $i] : double_divide(X0,identity) = double_divide(identity,X0),
inference(superposition,[status(thm)],[c_263,c_240]) ).
tcf(c_322,plain,
double_divide(double_divide(a,b),identity) != double_divide(identity,double_divide(b,a)),
inference(demodulation,[status(thm)],[c_56,c_316]) ).
tcf(c_323,plain,
! [X0: $i] : double_divide(identity,double_divide(identity,X0)) = X0,
inference(demodulation,[status(thm)],[c_263,c_316]) ).
tcf(c_326,plain,
double_divide(identity,double_divide(a,b)) != double_divide(identity,double_divide(b,a)),
inference(demodulation,[status(thm)],[c_322,c_316]) ).
tcf(c_344,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : double_divide(double_divide(identity,double_divide(double_divide(X0,X1),double_divide(double_divide(X2,double_divide(double_divide(X1,double_divide(X3,X2)),double_divide(X3,identity))),identity))),identity) = X0,
inference(light_normalisation,[status(thm)],[c_97,c_130]) ).
tcf(c_345,plain,
! [X0: $i,X1: $i] : double_divide(double_divide(X0,X1),X1) = X0,
inference(demodulation,[status(thm)],[c_344,c_132,c_316,c_323]) ).
tcf(c_435,plain,
! [X0: $i,X1: $i] : double_divide(X0,double_divide(X1,X0)) = X1,
inference(superposition,[status(thm)],[c_345,c_291]) ).
tcf(c_447,plain,
! [X0: $i,X1: $i] : double_divide(X0,X1) = double_divide(X1,X0),
inference(superposition,[status(thm)],[c_345,c_435]) ).
tcf(c_452,plain,
double_divide(identity,double_divide(a,b)) != double_divide(identity,double_divide(a,b)),
inference(demodulation,[status(thm)],[c_326,c_447]) ).
tcf(c_453,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_452]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP576-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.07/0.33 % Computer : n001.cluster.edu
% 0.07/0.33 % Model : x86_64 x86_64
% 0.07/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.33 % Memory : 8046.5625MB
% 0.07/0.33 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Wed Sep 23 15:12:50 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.07/0.34 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.37 Running UEQ theorem proving
% 0.13/0.37 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
% 0.13/0.39
% 0.13/0.39 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.39
% 0.13/0.39 % Detected problem language: tptp
% 0.13/0.40 % Proving...
% 2.91/1.25 WARNING - Clausifier option not provided in the heuristic config "heur/vip2_118404", setting default options.
% 2.91/1.25 % SZS status Started for theBenchmark.p
% 2.91/1.25 % SZS status Unsatisfiable for theBenchmark.p
% 2.91/1.25
% 2.91/1.25 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.91/1.25
% 2.91/1.25 % ------ iProver source info
% 2.91/1.25
% 2.91/1.25 % git: date: 2026-07-19 20:42:38 +0200
% 2.91/1.25 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.91/1.25 % git: non_committed_changes: false
% 2.91/1.25
% 2.91/1.25 % ------ Parsing...% successful
% 2.91/1.25
% 2.91/1.25
% 2.91/1.25 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.91/1.25
% 2.91/1.25 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.91/1.25
% 2.91/1.25 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.91/1.25
% 2.91/1.25 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 2.91/1.25 % ------ Proving...
% 2.91/1.25 % ------ Problem Properties
% 2.91/1.25
% 2.91/1.25 %
% 2.91/1.25 % clauses 3
% 2.91/1.25 % conjectures 1
% 2.91/1.25 % EPR 0
% 2.91/1.25 % Horn 3
% 2.91/1.25 % unary 3
% 2.91/1.25 % binary 0
% 2.91/1.25 % lits 3
% 2.91/1.25 % lits eq 3
% 2.91/1.25 % fd_pure 0
% 2.91/1.25 % fd_pseudo 0
% 2.91/1.25 % fd_cond 0
% 2.91/1.25 % fd_pseudo_cond 0
% 2.91/1.25 % AC symbols 0
% 2.91/1.25
% 2.91/1.25 % ------ Input Options Time Limit: Unbounded
% 2.91/1.25
% 2.91/1.25
% 2.91/1.25 % ------
% 2.91/1.25 % Current options:
% 2.91/1.25 % ------
% 2.91/1.25
% 2.91/1.25
% 2.91/1.25 %
% 2.91/1.25
% 2.91/1.25 % ------ Proving...
% 2.91/1.25 %
% 2.91/1.25
% 2.91/1.25 % SZS status Unsatisfiable for theBenchmark.p
% 2.91/1.25
% 2.91/1.25 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.91/1.25
% 2.91/1.25
%------------------------------------------------------------------------------