%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : HEN007-5 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n013.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 01:37:23 PM UTC 2026
% Result : Unsatisfiable 4.39s 6.54s
% Output : CNFRefutation 4.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 7
% Syntax : Number of formulae : 58 ( 43 unt; 0 def)
% Number of atoms : 79 ( 78 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 45 ( 24 ~; 21 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 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 : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 93 ( 0 sgn 93 !; 0 ?; 73 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : divide(divide(X0,X1),X0) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/HEN003-0.ax',quotient_smaller_than_numerator) ).
fof(f2,axiom,
! [X2,X0,X1] : divide(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/HEN003-0.ax',quotient_property) ).
fof(f3,plain,
! [X2,X0,X1] : zero = divide(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X0] : divide(zero,X0) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/HEN003-0.ax',zero_is_smallest) ).
fof(f5,plain,
! [X0] : zero = divide(zero,X0),
inference(reorient_equations,[],[f4]) ).
fof(f6,axiom,
! [X0,X1] :
( X0 = X1
| divide(X1,X0) != zero
| divide(X0,X1) != zero ),
file('/export/starexec/sandbox2/benchmark/Axioms/HEN003-0.ax',divide_and_equal) ).
fof(f7,plain,
! [X0,X1] :
( X0 = X1
| zero != divide(X1,X0)
| divide(X0,X1) != zero ),
inference(reorient_equations,[],[f6]) ).
fof(f10,axiom,
! [X2,X0,X1] :
( divide(X0,X2) = zero
| divide(X1,X2) != zero
| divide(X0,X1) != zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_divide_to_zero) ).
fof(f11,plain,
! [X2,X0,X1] :
( zero = divide(X0,X2)
| zero != divide(X1,X2)
| divide(X0,X1) != zero ),
inference(reorient_equations,[],[f10]) ).
fof(f12,axiom,
divide(a,b) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_divide_b_is_zero) ).
fof(f13,plain,
zero = divide(a,b),
inference(reorient_equations,[],[f12]) ).
fof(f14,negated_conjecture,
divide(divide(c,b),divide(c,a)) != zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_property_of_divide2) ).
fof(f15,plain,
zero != divide(divide(c,b),divide(c,a)),
inference(reorient_equations,[],[f14]) ).
tcf(c_57,plain,
divide(a,b) = zero,
inference(cnf_transformation,[],[f13]) ).
tcf(c_58,negated_conjecture,
divide(divide(c,b),divide(c,a)) != zero,
inference(cnf_transformation,[],[f15]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( divide(X0,X2) = zero )
| ( divide(X1,X2) != zero )
| ( divide(X0,X1) != zero ) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( divide(X1,X0) != zero )
| ( divide(X0,X1) != zero ) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_61,plain,
! [X0: $i] : divide(zero,X0) = zero,
inference(cnf_transformation,[],[f5]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)) = zero,
inference(cnf_transformation,[],[f3]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i] : divide(divide(X0,X1),X0) = zero,
inference(cnf_transformation,[],[f1]) ).
tcf(c_152,plain,
! [X0: $i] : divide(divide(divide(X0,b),zero),divide(divide(X0,a),b)) = zero,
inference(superposition,[status(thm)],[c_57,c_62]) ).
tcf(c_153,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(divide(X0,X1),zero),divide(divide(X0,divide(X1,X2)),X1)) = zero,
inference(superposition,[status(thm)],[c_63,c_62]) ).
tcf(c_155,plain,
! [X0: $i,X1: $i] : divide(divide(divide(X0,X1),zero),divide(divide(X0,zero),X1)) = zero,
inference(superposition,[status(thm)],[c_61,c_62]) ).
tcf(c_156,plain,
! [X0: $i,X1: $i] : divide(divide(divide(X0,X0),divide(X1,X0)),zero) = zero,
inference(superposition,[status(thm)],[c_63,c_62]) ).
tcf(c_159,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(divide(divide(X0,X1),X2),divide(X0,X2)),divide(zero,X2)) = zero,
inference(superposition,[status(thm)],[c_63,c_62]) ).
tcf(c_193,plain,
! [X0: $i] : divide(divide(divide(X0,X0),zero),zero) = zero,
inference(superposition,[status(thm)],[c_61,c_156]) ).
tcf(c_273,plain,
! [X0: $i] :
( ( X0 = zero )
| ( divide(X0,zero) != zero ) ),
inference(superposition,[status(thm)],[c_61,c_60]) ).
tcf(c_276,plain,
! [X0: $i] :
( ( divide(divide(X0,X0),zero) = zero )
| ( divide(zero,divide(divide(X0,X0),zero)) != zero ) ),
inference(superposition,[status(thm)],[c_193,c_60]) ).
tcf(c_283,plain,
! [X0: $i] : divide(divide(X0,X0),zero) = zero,
inference(ground_joinability,[status(thm)],[c_276,c_61]) ).
tcf(c_320,plain,
! [X0: $i,X1: $i] :
( ( divide(divide(X1,X1),X0) = zero )
| ( divide(zero,X0) != zero ) ),
inference(superposition,[status(thm)],[c_283,c_59]) ).
tcf(c_328,plain,
! [X0: $i,X1: $i] : divide(divide(X0,X0),X1) = zero,
inference(ground_joinability,[status(thm)],[c_320,c_61]) ).
tcf(c_377,plain,
! [X0: $i] : divide(X0,X0) = zero,
inference(superposition,[status(thm)],[c_328,c_273]) ).
tcf(c_455,plain,
! [X0: $i] : divide(divide(divide(X0,divide(X0,zero)),zero),zero) = zero,
inference(superposition,[status(thm)],[c_377,c_155]) ).
tcf(c_509,plain,
! [X0: $i,X1: $i] :
( ( divide(divide(divide(X1,divide(X1,zero)),zero),X0) = zero )
| ( divide(zero,X0) != zero ) ),
inference(superposition,[status(thm)],[c_455,c_59]) ).
tcf(c_521,plain,
! [X0: $i,X1: $i] : divide(divide(divide(X0,divide(X0,zero)),zero),X1) = zero,
inference(ground_joinability,[status(thm)],[c_509,c_61]) ).
tcf(c_557,plain,
! [X0: $i] : divide(divide(X0,divide(X0,zero)),zero) = zero,
inference(superposition,[status(thm)],[c_521,c_273]) ).
tcf(c_576,plain,
! [X0: $i,X1: $i] :
( ( divide(divide(X1,divide(X1,zero)),X0) = zero )
| ( divide(zero,X0) != zero ) ),
inference(superposition,[status(thm)],[c_557,c_59]) ).
tcf(c_587,plain,
! [X0: $i,X1: $i] : divide(divide(X0,divide(X0,zero)),X1) = zero,
inference(ground_joinability,[status(thm)],[c_576,c_61]) ).
tcf(c_613,plain,
! [X0: $i] : divide(X0,divide(X0,zero)) = zero,
inference(superposition,[status(thm)],[c_587,c_273]) ).
tcf(c_663,plain,
! [X0: $i] :
( ( divide(X0,zero) = X0 )
| ( divide(divide(X0,zero),X0) != zero ) ),
inference(superposition,[status(thm)],[c_613,c_60]) ).
tcf(c_674,plain,
! [X0: $i] : divide(X0,zero) = X0,
inference(ground_joinability,[status(thm)],[c_663,c_63]) ).
tcf(c_680,plain,
! [X0: $i] : divide(divide(X0,b),divide(divide(X0,a),b)) = zero,
inference(demodulation,[status(thm)],[c_152,c_674]) ).
tcf(c_728,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(X0,X1),divide(divide(X0,divide(X1,X2)),X1)) = zero,
inference(demodulation,[status(thm)],[c_153,c_674]) ).
tcf(c_739,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(divide(divide(X0,X1),X2),X0),divide(zero,X0)) = zero,
inference(superposition,[status(thm)],[c_63,c_728]) ).
tcf(c_749,plain,
! [X0: $i,X1: $i] : divide(divide(X0,X1),divide(divide(X0,X1),X1)) = zero,
inference(superposition,[status(thm)],[c_674,c_728]) ).
tcf(c_769,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(divide(divide(X0,X1),X2),X0),zero) = zero,
inference(light_normalisation,[status(thm)],[c_739,c_61]) ).
tcf(c_905,plain,
! [X0: $i,X1: $i] :
( ( divide(divide(X0,X1),X1) = divide(X0,X1) )
| ( divide(divide(divide(X0,X1),X1),divide(X0,X1)) != zero ) ),
inference(superposition,[status(thm)],[c_749,c_60]) ).
tcf(c_918,plain,
! [X0: $i,X1: $i] : divide(divide(X0,X1),X1) = divide(X0,X1),
inference(ground_joinability,[status(thm)],[c_905,c_63]) ).
tcf(c_962,plain,
! [X0: $i] : divide(divide(X0,b),divide(divide(divide(X0,b),a),b)) = zero,
inference(superposition,[status(thm)],[c_918,c_680]) ).
tcf(c_984,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(divide(X0,X1),X2),X0) = zero,
inference(demodulation,[status(thm)],[c_769,c_674]) ).
tcf(c_1083,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(divide(X0,X1),X2),divide(X0,X2)) = zero,
inference(demodulation,[status(thm)],[c_159,c_61,c_674]) ).
tcf(c_1275,plain,
! [X0: $i] :
( ( divide(divide(divide(X0,b),a),b) = divide(X0,b) )
| ( divide(divide(divide(divide(X0,b),a),b),divide(X0,b)) != zero ) ),
inference(superposition,[status(thm)],[c_962,c_60]) ).
tcf(c_1290,plain,
! [X0: $i] : divide(divide(divide(X0,b),a),b) = divide(X0,b),
inference(ground_joinability,[status(thm)],[c_1275,c_984]) ).
tcf(c_1319,plain,
! [X0: $i] : divide(divide(X0,b),divide(divide(X0,b),a)) = zero,
inference(superposition,[status(thm)],[c_1290,c_63]) ).
tcf(c_1439,plain,
! [X0: $i] :
( ( divide(divide(X0,b),a) = divide(X0,b) )
| ( divide(divide(divide(X0,b),a),divide(X0,b)) != zero ) ),
inference(superposition,[status(thm)],[c_1319,c_60]) ).
tcf(c_1456,plain,
! [X0: $i] : divide(divide(X0,b),a) = divide(X0,b),
inference(ground_joinability,[status(thm)],[c_1439,c_63]) ).
tcf(c_1486,plain,
! [X0: $i] : divide(divide(X0,b),divide(X0,a)) = zero,
inference(superposition,[status(thm)],[c_1456,c_1083]) ).
tcf(c_1500,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_58,c_1486]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HEN007-5 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/5.60 % Computer : n013.cluster.edu
% 0.13/5.60 % Model : x86_64 x86_64
% 0.13/5.60 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/5.60 % Memory : 8046.5625MB
% 0.13/5.60 % OS : Linux 6.8.0-71-generic
% 0.13/5.60 % CPULimit : 300
% 0.16/5.60 % WCLimit : 300
% 0.16/5.60 % DateTime : Wed Sep 23 16:13:23 UTC 2026
% 0.16/5.60 % CPUTime :
% 0.16/5.60 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.16/5.64 Running first-order theorem proving
% 0.16/5.64 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
% 0.16/5.65
% 0.16/5.65 % ======== iProver multi-core TPTP/SMT =========
% 0.16/5.65
% 0.16/5.65 % Detected problem language: tptp
% 0.16/5.67 % Proving...
% 4.39/6.54 % SZS status Started for theBenchmark.p
% 4.39/6.54 % SZS status Unsatisfiable for theBenchmark.p
% 4.39/6.54
% 4.39/6.54 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.39/6.54
% 4.39/6.54 % ------ iProver source info
% 4.39/6.54
% 4.39/6.54 % git: date: 2026-07-19 20:42:38 +0200
% 4.39/6.54 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.39/6.54 % git: non_committed_changes: false
% 4.39/6.54
% 4.39/6.54 % ------ Parsing...% successful
% 4.39/6.54
% 4.39/6.54
% 4.39/6.54 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.39/6.54
% 4.39/6.54 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 4.39/6.54
% 4.39/6.54 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.39/6.54
% 4.39/6.54 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 4.39/6.54 % ------ Proving...
% 4.39/6.54 % ------ Problem Properties
% 4.39/6.54
% 4.39/6.54 %
% 4.39/6.54 % clauses 7
% 4.39/6.54 % conjectures 1
% 4.39/6.54 % EPR 0
% 4.39/6.54 % Horn 7
% 4.39/6.54 % unary 5
% 4.39/6.54 % binary 0
% 4.39/6.54 % lits 11
% 4.39/6.54 % lits eq 11
% 4.39/6.54 % fd_pure 0
% 4.39/6.54 % fd_pseudo 0
% 4.39/6.54 % fd_cond 0
% 4.39/6.54 % fd_pseudo_cond 1
% 4.39/6.54 % AC symbols 0
% 4.39/6.54
% 4.39/6.54 % ------ Schedule dynamic 5 is on
% 4.39/6.54
% 4.39/6.54 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.39/6.54
% 4.39/6.54
% 4.39/6.54 % ------
% 4.39/6.54 % Current options:
% 4.39/6.54 % ------
% 4.39/6.54
% 4.39/6.54
% 4.39/6.54 %
% 4.39/6.54
% 4.39/6.54 % ------ Proving...
% 4.39/6.54 %
% 4.39/6.54
% 4.39/6.54 % SZS status Unsatisfiable for theBenchmark.p
% 4.39/6.54
% 4.39/6.54 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.39/6.54
% 4.39/6.54
%------------------------------------------------------------------------------