%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : HEN006-5 : 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 : n008.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 01:37:22 PM UTC 2026
% Result : Unsatisfiable 3.53s 1.31s
% Output : CNFRefutation 3.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 45 ( 41 unt; 2 def)
% Number of atoms : 87 ( 51 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 19 ( 12 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 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 : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 35 ( 0 sgn 35 !; 0 ?; 20 :)
% 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,
! [X0] : divide(X0,zero) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x_divide_zero_is_x) ).
fof(f11,axiom,
divide(divide(a,b),d) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_divide_b_divide_d_is_zero) ).
fof(f12,plain,
zero = divide(divide(a,b),d),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
divide(divide(a,d),b) != zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_property_of_divide1) ).
fof(f14,plain,
zero != divide(divide(a,d),b),
inference(reorient_equations,[],[f13]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] : divide(divide(X0,X1),X0) = zero,
inference(cnf_transformation,[],[f1]) ).
tcf(c_58,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_59,plain,
! [X0: $i] : divide(zero,X0) = zero,
inference(cnf_transformation,[],[f5]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( divide(X1,X0) != zero )
| ( divide(X0,X1) != zero ) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_62,plain,
! [X0: $i] : divide(X0,zero) = X0,
inference(cnf_transformation,[],[f10]) ).
tcf(c_63,plain,
divide(divide(a,b),d) = zero,
inference(cnf_transformation,[],[f12]) ).
tcf(c_64,negated_conjecture,
divide(divide(a,d),b) != zero,
inference(cnf_transformation,[],[f14]) ).
tcf(c_96,definition,
iPr_def_10 = divide(a,d),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_97,definition,
iPr_def_11 = divide(iPr_def_10,b),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_98,negated_conjecture,
iPr_def_11 != zero,
inference(demodulation,[status(thm)],[c_64,c_96,c_97]) ).
tcf(c_143,plain,
! [X0: $i] : divide(X0,X0) = zero,
inference(superposition,[status(thm)],[c_62,c_57]) ).
tcf(c_148,plain,
divide(iPr_def_11,iPr_def_10) = zero,
inference(superposition,[status(thm)],[c_97,c_57]) ).
tcf(c_163,plain,
! [X0: $i] : divide(divide(iPr_def_11,divide(X0,b)),divide(divide(iPr_def_10,X0),b)) = zero,
inference(superposition,[status(thm)],[c_97,c_58]) ).
tcf(c_169,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_57,c_58]) ).
tcf(c_177,plain,
divide(divide(divide(a,d),divide(b,d)),zero) = zero,
inference(superposition,[status(thm)],[c_63,c_58]) ).
tcf(c_202,plain,
divide(divide(iPr_def_10,divide(b,d)),zero) = zero,
inference(light_normalisation,[status(thm)],[c_177,c_96]) ).
tcf(c_307,plain,
! [X0: $i] : divide(divide(divide(iPr_def_11,X0),divide(iPr_def_10,X0)),divide(zero,X0)) = zero,
inference(superposition,[status(thm)],[c_148,c_58]) ).
tcf(c_311,plain,
! [X0: $i] : divide(divide(divide(iPr_def_11,X0),divide(iPr_def_10,X0)),zero) = zero,
inference(light_normalisation,[status(thm)],[c_307,c_59]) ).
tcf(c_326,plain,
divide(iPr_def_10,divide(b,d)) = zero,
inference(demodulation,[status(thm)],[c_202,c_62]) ).
tcf(c_460,plain,
! [X0: $i] : divide(divide(iPr_def_11,X0),divide(iPr_def_10,X0)) = zero,
inference(demodulation,[status(thm)],[c_311,c_62]) ).
tcf(c_471,plain,
divide(divide(iPr_def_11,divide(b,d)),zero) = zero,
inference(superposition,[status(thm)],[c_326,c_460]) ).
tcf(c_502,plain,
divide(iPr_def_11,divide(b,d)) = zero,
inference(demodulation,[status(thm)],[c_471,c_62]) ).
tcf(c_701,plain,
divide(divide(iPr_def_11,zero),divide(divide(iPr_def_10,b),b)) = zero,
inference(superposition,[status(thm)],[c_143,c_163]) ).
tcf(c_721,plain,
divide(divide(iPr_def_11,zero),divide(iPr_def_11,b)) = zero,
inference(light_normalisation,[status(thm)],[c_701,c_97]) ).
tcf(c_752,plain,
divide(iPr_def_11,divide(iPr_def_11,b)) = zero,
inference(demodulation,[status(thm)],[c_721,c_62]) ).
tcf(c_753,plain,
( ( divide(iPr_def_11,b) = iPr_def_11 )
| ( divide(divide(iPr_def_11,b),iPr_def_11) != zero ) ),
inference(superposition,[status(thm)],[c_752,c_60]) ).
tcf(c_761,plain,
divide(iPr_def_11,b) = iPr_def_11,
inference(ground_joinability,[status(thm)],[c_753,c_57]) ).
tcf(c_1414,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(X0,X1),divide(divide(X0,divide(X1,X2)),X1)) = zero,
inference(demodulation,[status(thm)],[c_169,c_62]) ).
tcf(c_1471,plain,
divide(divide(iPr_def_11,b),divide(zero,b)) = zero,
inference(superposition,[status(thm)],[c_502,c_1414]) ).
tcf(c_1531,plain,
divide(iPr_def_11,divide(zero,b)) = zero,
inference(light_normalisation,[status(thm)],[c_1471,c_761]) ).
tcf(c_1716,plain,
zero = iPr_def_11,
inference(demodulation,[status(thm)],[c_1531,c_62,c_59]) ).
tcf(c_1757,plain,
iPr_def_11 != iPr_def_11,
inference(demodulation,[status(thm)],[c_98,c_1716]) ).
tcf(c_1758,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_1757]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HEN006-5 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.38 % Computer : n008.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Wed Sep 23 16:13:09 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 0.12/0.44
% 0.12/0.44 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.44
% 0.12/0.44 % Detected problem language: tptp
% 0.12/0.45 % Proving...
% 3.53/1.31 % SZS status Started for theBenchmark.p
% 3.53/1.31 % SZS status Unsatisfiable for theBenchmark.p
% 3.53/1.31
% 3.53/1.31 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.53/1.31
% 3.53/1.31 % ------ iProver source info
% 3.53/1.31
% 3.53/1.31 % git: date: 2026-07-19 20:42:38 +0200
% 3.53/1.31 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.53/1.31 % git: non_committed_changes: false
% 3.53/1.31
% 3.53/1.31 % ------ Parsing...% successful
% 3.53/1.31
% 3.53/1.31
% 3.53/1.31 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.53/1.31
% 3.53/1.31 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 3.53/1.31
% 3.53/1.31 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.53/1.31
% 3.53/1.31 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 3.53/1.31 % ------ Proving...
% 3.53/1.31 % ------ Problem Properties
% 3.53/1.31
% 3.53/1.31 %
% 3.53/1.31 % clauses 10
% 3.53/1.31 % conjectures 1
% 3.53/1.31 % EPR 1
% 3.53/1.31 % Horn 10
% 3.53/1.31 % unary 9
% 3.53/1.31 % binary 0
% 3.53/1.31 % lits 12
% 3.53/1.31 % lits eq 12
% 3.53/1.31 % fd_pure 0
% 3.53/1.31 % fd_pseudo 0
% 3.53/1.31 % fd_cond 0
% 3.53/1.31 % fd_pseudo_cond 1
% 3.53/1.31 % AC symbols 0
% 3.53/1.31
% 3.53/1.31 % ------ Schedule dynamic 5 is on
% 3.53/1.31
% 3.53/1.31 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.53/1.31
% 3.53/1.31
% 3.53/1.31 % ------
% 3.53/1.31 % Current options:
% 3.53/1.31 % ------
% 3.53/1.31
% 3.53/1.31
% 3.53/1.31 %
% 3.53/1.31
% 3.53/1.31 % ------ Proving...
% 3.53/1.31 %
% 3.53/1.31
% 3.53/1.31 % SZS status Unsatisfiable for theBenchmark.p
% 3.53/1.31
% 3.53/1.31 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.53/1.31
% 3.53/1.31
%------------------------------------------------------------------------------