%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : HEN009-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/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 01:37:24 PM UTC 2026
% Result : Unsatisfiable 1.09s 1.21s
% Output : CNFRefutation 1.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 11
% Syntax : Number of formulae : 104 ( 71 unt; 0 def)
% Number of atoms : 349 ( 61 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 98 ( 51 ~; 47 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 124 ( 0 sgn 124 !; 0 ?; 105 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( quotient(X0,X1,zero)
| ~ less_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',quotient_less_equal) ).
fof(f2,axiom,
! [X0,X1] :
( less_equal(X0,X1)
| ~ quotient(X0,X1,zero) ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',less_equal_quotient) ).
fof(f3,axiom,
! [X2,X0,X1] :
( less_equal(X2,X0)
| ~ quotient(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',divisor_existence) ).
fof(f4,axiom,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( less_equal(X6,X7)
| ~ quotient(X2,X3,X7)
| ~ quotient(X5,X4,X6)
| ~ quotient(X0,X3,X5)
| ~ quotient(X1,X3,X4)
| ~ quotient(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',quotient_property) ).
fof(f5,axiom,
! [X0] : less_equal(zero,X0),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',zero_is_smallest) ).
fof(f6,axiom,
! [X0,X1] :
( X0 = X1
| ~ less_equal(X1,X0)
| ~ less_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',less_equal_and_equal) ).
fof(f7,axiom,
! [X0] : less_equal(X0,identity),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',identity_is_largest) ).
fof(f10,axiom,
quotient(identity,a,idQa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_divide_a) ).
fof(f11,axiom,
quotient(identity,idQa,idQ_idQa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_divide_idQa) ).
fof(f12,axiom,
quotient(identity,idQ_idQa,idQ__idQ_idQa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_divide_idQ_idQa) ).
fof(f13,negated_conjecture,
idQa != idQ__idQ_idQa,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_one_inversion_equals_three) ).
tcf(c_62,plain,
! [X0: $i,X1: $i] :
( quotient(X0,X1,zero)
| ~ less_equal(X0,X1) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i] :
( less_equal(X0,X1)
| ~ quotient(X0,X1,zero) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i] :
( less_equal(X2,X0)
| ~ quotient(X0,X1,X2) ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( less_equal(X7,X6)
| ~ quotient(X4,X5,X7)
| ~ quotient(X2,X3,X6)
| ~ quotient(X1,X3,X5)
| ~ quotient(X0,X3,X4)
| ~ quotient(X0,X1,X2) ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_66,plain,
! [X0: $i] : less_equal(zero,X0),
inference(cnf_transformation,[],[f5]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ less_equal(X1,X0)
| ~ less_equal(X0,X1) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_68,plain,
! [X0: $i] : less_equal(X0,identity),
inference(cnf_transformation,[],[f7]) ).
tcf(c_71,plain,
quotient(identity,a,idQa),
inference(cnf_transformation,[],[f10]) ).
tcf(c_72,plain,
quotient(identity,idQa,idQ_idQa),
inference(cnf_transformation,[],[f11]) ).
tcf(c_73,plain,
quotient(identity,idQ_idQa,idQ__idQ_idQa),
inference(cnf_transformation,[],[f12]) ).
tcf(c_74,negated_conjecture,
idQa != idQ__idQ_idQa,
inference(cnf_transformation,[],[f13]) ).
tcf(c_81,plain,
divide(identity,a) = idQa,
inference(well_definedness,[status(thm)],[c_71]) ).
tcf(c_82,plain,
divide(identity,idQa) = idQ_idQa,
inference(well_definedness,[status(thm)],[c_72]) ).
tcf(c_83,plain,
divide(identity,idQ_idQa) = idQ__idQ_idQa,
inference(well_definedness,[status(thm)],[c_73]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i] :
( ( divide(X0,X1) = zero )
| ~ less_equal(X0,X1) ),
inference(well_definedness,[status(thm)],[c_62]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i] :
( less_equal(X0,X1)
| ( divide(X0,X1) != zero ) ),
inference(well_definedness,[status(thm)],[c_63]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i,X2: $i] :
( less_equal(X2,X0)
| ( divide(X0,X1) != X2 ) ),
inference(well_definedness,[status(thm)],[c_64]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( less_equal(X7,X6)
| ( divide(X4,X5) != X7 )
| ( divide(X2,X3) != X6 )
| ( divide(X1,X3) != X5 )
| ( divide(X0,X3) != X4 )
| ( divide(X0,X1) != X2 ) ),
inference(well_definedness,[status(thm)],[c_65]) ).
tcf(c_98,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( divide(X0,X1) != X2 )
| less_equal(X2,X0) ),
inference(prop_impl_just,[status(thm)],[c_86]) ).
tcf(c_99,plain,
! [X0: $i,X1: $i,X2: $i] :
( less_equal(X2,X0)
| ( divide(X0,X1) != X2 ) ),
inference(renaming,[status(thm)],[c_98]) ).
tcf(c_178,plain,
! [X0: $i,X1: $i] : less_equal(divide(X0,X1),X0),
inference(unflattening,[status(thm)],[c_99]) ).
tcf(c_192,plain,
! [X0: $i,X1: $i,X2: $i] : less_equal(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)),
inference(unflattening,[status(thm)],[c_88]) ).
tcf(c_200,plain,
! [X0: $i,X1: $i] :
( ( divide(X0,X1) != zero )
| less_equal(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_85]) ).
tcf(c_201,plain,
! [X0: $i,X1: $i] :
( less_equal(X0,X1)
| ( divide(X0,X1) != zero ) ),
inference(renaming,[status(thm)],[c_200]) ).
tcf(c_202,plain,
! [X0: $i,X1: $i] :
( ( divide(X0,X1) = zero )
| ~ less_equal(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_84]) ).
tcf(c_267,negated_conjecture,
idQa != idQ__idQ_idQa,
inference(demodulation,[status(thm)],[c_74]) ).
tcf(c_460,plain,
! [X0: $i] : divide(zero,X0) = zero,
inference(superposition,[status(thm)],[c_66,c_202]) ).
tcf(c_461,plain,
! [X0: $i] : divide(X0,identity) = zero,
inference(superposition,[status(thm)],[c_68,c_202]) ).
tcf(c_462,plain,
! [X0: $i,X1: $i] : divide(divide(X0,X1),X0) = zero,
inference(superposition,[status(thm)],[c_178,c_202]) ).
tcf(c_472,plain,
! [X0: $i] :
( ( X0 = zero )
| ~ less_equal(X0,zero) ),
inference(superposition,[status(thm)],[c_66,c_67]) ).
tcf(c_474,plain,
! [X0: $i,X1: $i] :
( ( divide(X0,X1) = X0 )
| ~ less_equal(X0,divide(X0,X1)) ),
inference(superposition,[status(thm)],[c_178,c_67]) ).
tcf(c_558,plain,
! [X0: $i] : less_equal(divide(divide(X0,a),idQa),divide(divide(X0,identity),a)),
inference(superposition,[status(thm)],[c_81,c_192]) ).
tcf(c_559,plain,
! [X0: $i] : less_equal(divide(divide(X0,idQa),idQ_idQa),divide(divide(X0,identity),idQa)),
inference(superposition,[status(thm)],[c_82,c_192]) ).
tcf(c_560,plain,
! [X0: $i] : less_equal(divide(divide(X0,idQ_idQa),idQ__idQ_idQa),divide(divide(X0,identity),idQ_idQa)),
inference(superposition,[status(thm)],[c_83,c_192]) ).
tcf(c_561,plain,
! [X0: $i,X1: $i] : less_equal(divide(divide(X0,X1),zero),divide(divide(X0,zero),X1)),
inference(superposition,[status(thm)],[c_460,c_192]) ).
tcf(c_565,plain,
! [X0: $i,X1: $i] : less_equal(divide(divide(X0,X0),divide(X1,X0)),zero),
inference(superposition,[status(thm)],[c_462,c_192]) ).
tcf(c_572,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( divide(divide(X0,X2),divide(X1,X2)) = divide(divide(X0,X1),X2) )
| ~ less_equal(divide(divide(X0,X1),X2),divide(divide(X0,X2),divide(X1,X2))) ),
inference(superposition,[status(thm)],[c_192,c_67]) ).
tcf(c_573,plain,
! [X0: $i,X1: $i,X2: $i] : divide(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)) = zero,
inference(superposition,[status(thm)],[c_192,c_202]) ).
tcf(c_580,plain,
! [X0: $i] : less_equal(divide(divide(X0,idQ_idQa),idQ__idQ_idQa),divide(zero,idQ_idQa)),
inference(light_normalisation,[status(thm)],[c_560,c_461]) ).
tcf(c_581,plain,
! [X0: $i] : less_equal(divide(divide(X0,idQa),idQ_idQa),divide(zero,idQa)),
inference(light_normalisation,[status(thm)],[c_559,c_461]) ).
tcf(c_582,plain,
! [X0: $i] : less_equal(divide(divide(X0,a),idQa),divide(zero,a)),
inference(light_normalisation,[status(thm)],[c_558,c_461]) ).
tcf(c_628,plain,
! [X0: $i] : less_equal(divide(divide(X0,X0),zero),zero),
inference(superposition,[status(thm)],[c_462,c_565]) ).
tcf(c_652,plain,
! [X0: $i] : divide(divide(idQa,divide(X0,a)),divide(divide(identity,X0),a)) = zero,
inference(superposition,[status(thm)],[c_81,c_573]) ).
tcf(c_653,plain,
! [X0: $i] : divide(divide(idQ_idQa,divide(X0,idQa)),divide(divide(identity,X0),idQa)) = zero,
inference(superposition,[status(thm)],[c_82,c_573]) ).
tcf(c_1033,plain,
! [X0: $i] : divide(divide(X0,X0),zero) = zero,
inference(superposition,[status(thm)],[c_628,c_472]) ).
tcf(c_1294,plain,
! [X0: $i] :
( ( divide(divide(X0,X0),zero) = divide(X0,X0) )
| ~ less_equal(divide(X0,X0),zero) ),
inference(superposition,[status(thm)],[c_1033,c_474]) ).
tcf(c_1296,plain,
! [X0: $i] : less_equal(divide(X0,X0),zero),
inference(superposition,[status(thm)],[c_1033,c_201]) ).
tcf(c_1307,plain,
! [X0: $i] : divide(divide(X0,X0),zero) = divide(X0,X0),
inference(forward_subsumption_resolution,[status(thm)],[c_1294,c_1296]) ).
tcf(c_1308,plain,
! [X0: $i] : divide(X0,X0) = zero,
inference(light_normalisation,[status(thm)],[c_1307,c_1033]) ).
tcf(c_1544,plain,
! [X0: $i] : less_equal(divide(divide(X0,idQ_idQa),idQ__idQ_idQa),zero),
inference(demodulation,[status(thm)],[c_580,c_460]) ).
tcf(c_1552,plain,
! [X0: $i] : divide(divide(X0,idQ_idQa),idQ__idQ_idQa) = zero,
inference(superposition,[status(thm)],[c_1544,c_472]) ).
tcf(c_1566,plain,
! [X0: $i] : less_equal(divide(X0,idQ_idQa),idQ__idQ_idQa),
inference(superposition,[status(thm)],[c_1552,c_201]) ).
tcf(c_1672,plain,
! [X0: $i] :
( ( divide(X0,idQ_idQa) = idQ__idQ_idQa )
| ~ less_equal(idQ__idQ_idQa,divide(X0,idQ_idQa)) ),
inference(superposition,[status(thm)],[c_1566,c_67]) ).
tcf(c_1676,plain,
! [X0: $i] : less_equal(divide(divide(X0,idQa),idQ_idQa),zero),
inference(demodulation,[status(thm)],[c_581,c_460]) ).
tcf(c_1684,plain,
! [X0: $i] : divide(divide(X0,idQa),idQ_idQa) = zero,
inference(superposition,[status(thm)],[c_1676,c_472]) ).
tcf(c_1698,plain,
! [X0: $i] : less_equal(divide(X0,idQa),idQ_idQa),
inference(superposition,[status(thm)],[c_1684,c_201]) ).
tcf(c_1709,plain,
! [X0: $i] :
( ( divide(divide(X0,idQ_idQa),divide(idQa,idQ_idQa)) = divide(divide(X0,idQa),idQ_idQa) )
| ~ less_equal(zero,divide(divide(X0,idQ_idQa),divide(idQa,idQ_idQa))) ),
inference(superposition,[status(thm)],[c_1684,c_572]) ).
tcf(c_1714,plain,
! [X0: $i] :
( ( divide(divide(X0,idQ_idQa),divide(idQa,idQ_idQa)) = zero )
| ~ less_equal(zero,divide(divide(X0,idQ_idQa),divide(idQa,idQ_idQa))) ),
inference(light_normalisation,[status(thm)],[c_1709,c_1684]) ).
tcf(c_1715,plain,
! [X0: $i] : divide(divide(X0,idQ_idQa),divide(idQa,idQ_idQa)) = zero,
inference(forward_subsumption_resolution,[status(thm)],[c_1714,c_66]) ).
tcf(c_1762,plain,
! [X0: $i] :
( ( divide(X0,idQa) = idQ_idQa )
| ~ less_equal(idQ_idQa,divide(X0,idQa)) ),
inference(superposition,[status(thm)],[c_1698,c_67]) ).
tcf(c_1766,plain,
! [X0: $i] : less_equal(divide(divide(X0,a),idQa),zero),
inference(demodulation,[status(thm)],[c_582,c_460]) ).
tcf(c_1774,plain,
! [X0: $i] : divide(divide(X0,a),idQa) = zero,
inference(superposition,[status(thm)],[c_1766,c_472]) ).
tcf(c_1948,plain,
! [X0: $i] : less_equal(divide(X0,a),idQa),
inference(superposition,[status(thm)],[c_1774,c_201]) ).
tcf(c_1960,plain,
divide(divide(idQ_idQa,divide(a,idQa)),zero) = zero,
inference(superposition,[status(thm)],[c_1774,c_653]) ).
tcf(c_2411,plain,
! [X0: $i] : less_equal(divide(X0,idQ_idQa),divide(idQa,idQ_idQa)),
inference(superposition,[status(thm)],[c_1715,c_201]) ).
tcf(c_2485,plain,
less_equal(idQ__idQ_idQa,divide(idQa,idQ_idQa)),
inference(superposition,[status(thm)],[c_83,c_2411]) ).
tcf(c_2505,plain,
divide(idQa,idQ_idQa) = idQ__idQ_idQa,
inference(superposition,[status(thm)],[c_2485,c_1672]) ).
tcf(c_2633,plain,
( ( divide(idQa,idQ_idQa) = idQa )
| ~ less_equal(idQa,idQ__idQ_idQa) ),
inference(superposition,[status(thm)],[c_2505,c_474]) ).
tcf(c_2650,plain,
( ( idQa = idQ__idQ_idQa )
| ~ less_equal(idQa,idQ__idQ_idQa) ),
inference(light_normalisation,[status(thm)],[c_2633,c_2505]) ).
tcf(c_2651,plain,
~ less_equal(idQa,idQ__idQ_idQa),
inference(forward_subsumption_resolution,[status(thm)],[c_2650,c_267]) ).
tcf(c_2872,plain,
( ( divide(divide(idQ_idQa,divide(a,idQa)),zero) = divide(idQ_idQa,divide(a,idQa)) )
| ~ less_equal(divide(idQ_idQa,divide(a,idQa)),zero) ),
inference(superposition,[status(thm)],[c_1960,c_474]) ).
tcf(c_2874,plain,
less_equal(divide(idQ_idQa,divide(a,idQa)),zero),
inference(superposition,[status(thm)],[c_1960,c_201]) ).
tcf(c_2887,plain,
divide(divide(idQ_idQa,divide(a,idQa)),zero) = divide(idQ_idQa,divide(a,idQa)),
inference(forward_subsumption_resolution,[status(thm)],[c_2872,c_2874]) ).
tcf(c_2888,plain,
divide(idQ_idQa,divide(a,idQa)) = zero,
inference(light_normalisation,[status(thm)],[c_2887,c_1960]) ).
tcf(c_2968,plain,
less_equal(idQ_idQa,divide(a,idQa)),
inference(superposition,[status(thm)],[c_2888,c_201]) ).
tcf(c_3137,plain,
divide(a,idQa) = idQ_idQa,
inference(superposition,[status(thm)],[c_2968,c_1762]) ).
tcf(c_3149,plain,
divide(idQ_idQa,a) = zero,
inference(superposition,[status(thm)],[c_3137,c_462]) ).
tcf(c_3262,plain,
divide(divide(idQa,zero),divide(divide(identity,idQ_idQa),a)) = zero,
inference(superposition,[status(thm)],[c_3149,c_652]) ).
tcf(c_3269,plain,
divide(divide(idQa,zero),divide(idQ__idQ_idQa,a)) = zero,
inference(light_normalisation,[status(thm)],[c_3262,c_83]) ).
tcf(c_4211,plain,
less_equal(divide(idQa,zero),divide(idQ__idQ_idQa,a)),
inference(superposition,[status(thm)],[c_3269,c_201]) ).
tcf(c_4340,plain,
( ( divide(idQa,zero) = divide(idQ__idQ_idQa,a) )
| ~ less_equal(divide(idQ__idQ_idQa,a),divide(idQa,zero)) ),
inference(superposition,[status(thm)],[c_4211,c_67]) ).
tcf(c_5199,plain,
! [X0: $i] : less_equal(divide(divide(X0,divide(X0,zero)),zero),zero),
inference(superposition,[status(thm)],[c_1308,c_561]) ).
tcf(c_5470,plain,
! [X0: $i] : divide(divide(X0,divide(X0,zero)),zero) = zero,
inference(superposition,[status(thm)],[c_5199,c_472]) ).
tcf(c_5881,plain,
! [X0: $i] :
( ( divide(divide(X0,divide(X0,zero)),zero) = divide(X0,divide(X0,zero)) )
| ~ less_equal(divide(X0,divide(X0,zero)),zero) ),
inference(superposition,[status(thm)],[c_5470,c_474]) ).
tcf(c_5883,plain,
! [X0: $i] : less_equal(divide(X0,divide(X0,zero)),zero),
inference(superposition,[status(thm)],[c_5470,c_201]) ).
tcf(c_5897,plain,
! [X0: $i] : divide(divide(X0,divide(X0,zero)),zero) = divide(X0,divide(X0,zero)),
inference(forward_subsumption_resolution,[status(thm)],[c_5881,c_5883]) ).
tcf(c_5898,plain,
! [X0: $i] : divide(X0,divide(X0,zero)) = zero,
inference(light_normalisation,[status(thm)],[c_5897,c_5470]) ).
tcf(c_5930,plain,
! [X0: $i] : less_equal(X0,divide(X0,zero)),
inference(superposition,[status(thm)],[c_5898,c_201]) ).
tcf(c_6185,plain,
! [X0: $i] : divide(X0,zero) = X0,
inference(superposition,[status(thm)],[c_5930,c_474]) ).
tcf(c_6198,plain,
( ( divide(idQ__idQ_idQa,a) = idQa )
| ~ less_equal(divide(idQ__idQ_idQa,a),idQa) ),
inference(demodulation,[status(thm)],[c_4340,c_6185]) ).
tcf(c_6212,plain,
divide(idQ__idQ_idQa,a) = idQa,
inference(forward_subsumption_resolution,[status(thm)],[c_6198,c_1948]) ).
tcf(c_6430,plain,
less_equal(idQa,idQ__idQ_idQa),
inference(superposition,[status(thm)],[c_6212,c_178]) ).
tcf(c_6446,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_6430,c_2651]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HEN009-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n013.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Wed Sep 23 16:14:43 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.44 % Proving...
% 1.09/1.21 % SZS status Started for theBenchmark.p
% 1.09/1.21 % SZS status Unsatisfiable for theBenchmark.p
% 1.09/1.21
% 1.09/1.21 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.09/1.21
% 1.09/1.21 % ------ iProver source info
% 1.09/1.21
% 1.09/1.21 % git: date: 2026-07-19 20:42:38 +0200
% 1.09/1.21 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.09/1.21 % git: non_committed_changes: false
% 1.09/1.21
% 1.09/1.21 % ------ Parsing...% successful
% 1.09/1.21
% 1.09/1.21
% 1.09/1.21 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.09/1.21
% 1.09/1.21 % ------ Preprocessing... sup_sim: 4 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 1.09/1.21
% 1.09/1.21 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.09/1.21
% 1.09/1.21 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.09/1.21 % ------ Proving...
% 1.09/1.21 % ------ Problem Properties
% 1.09/1.21
% 1.09/1.21 %
% 1.09/1.21 % clauses 11
% 1.09/1.21 % conjectures 1
% 1.09/1.21 % EPR 4
% 1.09/1.21 % Horn 11
% 1.09/1.21 % unary 8
% 1.09/1.21 % binary 2
% 1.09/1.21 % lits 15
% 1.09/1.21 % lits eq 7
% 1.09/1.21 % fd_pure 0
% 1.09/1.21 % fd_pseudo 0
% 1.09/1.21 % fd_cond 0
% 1.09/1.21 % fd_pseudo_cond 1
% 1.09/1.21 % AC symbols 0
% 1.09/1.21
% 1.09/1.21 % ------ Schedule dynamic 5 is on
% 1.09/1.21
% 1.09/1.21 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.09/1.21
% 1.09/1.21
% 1.09/1.21 % ------
% 1.09/1.21 % Current options:
% 1.09/1.21 % ------
% 1.09/1.21
% 1.09/1.21
% 1.09/1.21 %
% 1.09/1.21
% 1.09/1.21 % ------ Proving...
% 1.09/1.21 %
% 1.09/1.21
% 1.09/1.21 % SZS status Unsatisfiable for theBenchmark.p
% 1.09/1.21
% 1.09/1.21 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.09/1.21
% 1.09/1.21
%------------------------------------------------------------------------------