%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWV678-1 : TPTP v9.3.1. Released v4.1.0.
% 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 03:24:00 PM UTC 2026
% Result : Unsatisfiable 7.22s 1.63s
% Output : CNFRefutation 7.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 22 ( 8 unt; 0 def)
% Number of atoms : 45 ( 26 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 50 ( 27 ~; 23 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 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 : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 20 ( 0 sgn 20 !; 0 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
fof(f520,axiom,
( v_a != c_HOL_Ozero__class_Ozero(t_a)
| ~ class_Ring__and__Field_Ofield(t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_nz_0) ).
fof(f735,axiom,
! [X2,X3,X0,X1] :
( X1 = c_HOL_Ozero__class_Ozero(X0)
| ~ c_lessequals(X3,X2,tc_nat)
| c_Power_Opower__class_Opower(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),X0) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_power__diff_0) ).
fof(f736,plain,
! [X2,X3,X0,X1] :
( c_HOL_Ozero__class_Ozero(X0) = X1
| ~ c_lessequals(X3,X2,tc_nat)
| c_Power_Opower__class_Opower(X1,c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),X0) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
inference(reorient_equations,[],[f735]) ).
fof(f746,axiom,
c_lessequals(v_n,v_m,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_True_0) ).
fof(f776,axiom,
( v_a != c_HOL_Ozero__class_Ozero(t_a)
| ~ class_Ring__and__Field_Ofield(t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).
fof(f777,negated_conjecture,
class_Ring__and__Field_Ofield(t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f779,negated_conjecture,
( ~ c_lessequals(v_n,v_m,tc_nat)
| c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a) != c_Power_Opower__class_Opower(v_a,c_HOL_Ominus__class_Ominus(v_m,v_n,tc_nat),t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f780,negated_conjecture,
( c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a) != c_Power_Opower__class_Opower(v_a,c_HOL_Ominus__class_Ominus(v_m,v_n,tc_nat),t_a)
| c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a) != c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),v_a,t_a),c_HOL_Ominus__class_Ominus(v_n,v_m,tc_nat),t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
tcf(c_736,negated_conjecture,
class_Ring__and__Field_Ofield(t_a),
inference(cnf_transformation,[],[f777]) ).
tcf(c_738,negated_conjecture,
( ~ c_lessequals(v_n,v_m,tc_nat)
| ( c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a) != c_Power_Opower__class_Opower(v_a,c_HOL_Ominus__class_Ominus(v_m,v_n,tc_nat),t_a) ) ),
inference(cnf_transformation,[],[f779]) ).
tcf(c_739,negated_conjecture,
( ( c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a) != c_Power_Opower__class_Opower(v_a,c_HOL_Ominus__class_Ominus(v_m,v_n,tc_nat),t_a) )
| ( c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),v_a,t_a),c_HOL_Ominus__class_Ominus(v_n,v_m,tc_nat),t_a) != c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a) ) ),
inference(cnf_transformation,[],[f780]) ).
tcf(c_740,plain,
( ~ class_Ring__and__Field_Ofield(t_a)
| ( c_HOL_Ozero__class_Ozero(t_a) != v_a ) ),
inference(cnf_transformation,[],[f776]) ).
tcf(c_741,plain,
( ~ class_Ring__and__Field_Ofield(t_a)
| ( c_HOL_Ozero__class_Ozero(t_a) != v_a ) ),
inference(cnf_transformation,[],[f520]) ).
tcf(c_744,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(X2) = X3 )
| ( c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X3,X1,X2),c_Power_Opower__class_Opower(X3,X0,X2),X2) = c_Power_Opower__class_Opower(X3,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X2) )
| ~ class_Ring__and__Field_Ofield(X2)
| ~ c_lessequals(X0,X1,tc_nat) ),
inference(cnf_transformation,[],[f736]) ).
tcf(c_870,plain,
c_lessequals(v_n,v_m,tc_nat),
inference(cnf_transformation,[],[f746]) ).
tcf(c_1200,plain,
c_HOL_Ozero__class_Ozero(t_a) != v_a,
inference(global_subsumption_just,[status(thm)],[c_740,c_736,c_741]) ).
tcf(c_1241,negated_conjecture,
c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a) != c_Power_Opower__class_Opower(v_a,c_HOL_Ominus__class_Ominus(v_m,v_n,tc_nat),t_a),
inference(global_subsumption_just,[status(thm)],[c_739,c_870,c_738]) ).
tcf(c_3691,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( c_HOL_Ozero__class_Ozero(X0) = X3 )
| ( c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X3,X2,X0),c_Power_Opower__class_Opower(X3,X1,X0),X0) = c_Power_Opower__class_Opower(X3,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),X0) )
| ~ c_lessequals(X1,X2,tc_nat)
| ( X0 != t_a ) ),
inference(resolution_lifted,[status(thm)],[c_736,c_744]) ).
tcf(c_3692,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( c_HOL_Ozero__class_Ozero(t_a) = X2 )
| ( c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X2,X1,t_a),c_Power_Opower__class_Opower(X2,X0,t_a),t_a) = c_Power_Opower__class_Opower(X2,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),t_a) )
| ~ c_lessequals(X0,X1,tc_nat) ),
inference(unflattening,[status(thm)],[c_3691]) ).
tcf(c_11317,plain,
! [X0: $i] :
( ( c_HOL_Ozero__class_Ozero(t_a) = X0 )
| ( c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X0,v_m,t_a),c_Power_Opower__class_Opower(X0,v_n,t_a),t_a) = c_Power_Opower__class_Opower(X0,c_HOL_Ominus__class_Ominus(v_m,v_n,tc_nat),t_a) ) ),
inference(superposition,[status(thm)],[c_870,c_3692]) ).
tcf(c_11691,plain,
c_HOL_Ozero__class_Ozero(t_a) = v_a,
inference(superposition,[status(thm)],[c_11317,c_1241]) ).
tcf(c_11701,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_11691,c_1200]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV678-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n003.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % 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 20:55:08 UTC 2026
% 0.15/0.36 % CPUTime :
% 0.15/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/0.40 Running first-order theorem proving
% 0.15/0.40 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.41
% 0.15/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.15/0.41
% 0.15/0.41 % Detected problem language: tptp
% 0.15/0.42 % Proving...
% 7.22/1.63 % SZS status Started for theBenchmark.p
% 7.22/1.63 % SZS status Unsatisfiable for theBenchmark.p
% 7.22/1.63
% 7.22/1.63 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 7.22/1.63
% 7.22/1.63 % ------ iProver source info
% 7.22/1.63
% 7.22/1.63 % git: date: 2026-07-19 20:42:38 +0200
% 7.22/1.63 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 7.22/1.63 % git: non_committed_changes: false
% 7.22/1.63
% 7.22/1.63 % ------ Parsing...% successful
% 7.22/1.63
% 7.22/1.63
% 7.22/1.63 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 7.22/1.63
% 7.22/1.63 % ------ Preprocessing... sup_sim: 12 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e %
% 7.22/1.63
% 7.22/1.63 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 7.22/1.63
% 7.22/1.63 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 7.22/1.63 % ------ Proving...
% 7.22/1.63 % ------ Problem Properties
% 7.22/1.63
% 7.22/1.63 %
% 7.22/1.63 % clauses 206
% 7.22/1.63 % conjectures 1
% 7.22/1.63 % EPR 11
% 7.22/1.63 % Horn 172
% 7.22/1.63 % unary 67
% 7.22/1.63 % binary 93
% 7.22/1.63 % lits 396
% 7.22/1.63 % lits eq 126
% 7.22/1.63 % fd_pure 0
% 7.22/1.63 % fd_pseudo 0
% 7.22/1.63 % fd_cond 22
% 7.22/1.63 % fd_pseudo_cond 12
% 7.22/1.63 % AC symbols 0
% 7.22/1.63
% 7.22/1.63 % ------ Schedule dynamic 5 is on
% 7.22/1.63
% 7.22/1.63 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.22/1.63
% 7.22/1.63
% 7.22/1.63 % ------
% 7.22/1.63 % Current options:
% 7.22/1.63 % ------
% 7.22/1.63
% 7.22/1.63
% 7.22/1.63 %
% 7.22/1.63
% 7.22/1.63 % ------ Proving...
% 7.22/1.63 %
% 7.22/1.63
% 7.22/1.63 % SZS status Unsatisfiable for theBenchmark.p
% 7.22/1.63
% 7.22/1.63 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.22/1.63
% 7.22/1.63
%------------------------------------------------------------------------------