TSTP Solution File: ANA016-2 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : ANA016-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 19 10:08:47 EDT 2023
% Result : Unsatisfiable 2.67s 1.53s
% Output : Refutation 2.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 21
% Syntax : Number of formulae : 31 ( 7 unt; 12 typ; 0 def)
% Number of atoms : 33 ( 12 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 110 ( 16 ~; 14 |; 0 &; 80 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 6 con; 0-3 aty)
% Number of variables : 22 ( 0 ^; 22 !; 0 ?; 22 :)
% Comments :
%------------------------------------------------------------------------------
thf(v_c_type,type,
v_c: $i ).
thf(c_0_type,type,
c_0: $i ).
thf(v_g_type,type,
v_g: $i > $i ).
thf(v_x_type,type,
v_x: $i ).
thf(c_times_type,type,
c_times: $i > $i > $i > $i ).
thf(c_HOL_Oinverse_type,type,
c_HOL_Oinverse: $i > $i > $i ).
thf(t_a_type,type,
t_a: $i ).
thf(class_Ring__and__Field_Oordered__field_type,type,
class_Ring__and__Field_Oordered__field: $i > $o ).
thf(class_OrderedGroup_Omonoid__mult_type,type,
class_OrderedGroup_Omonoid__mult: $i > $o ).
thf(c_1_type,type,
c_1: $i ).
thf(class_OrderedGroup_Osemigroup__mult_type,type,
class_OrderedGroup_Osemigroup__mult: $i > $o ).
thf(class_Ring__and__Field_Ofield_type,type,
class_Ring__and__Field_Ofield: $i > $o ).
thf(1,negated_conjecture,
v_c != c_0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
thf(10,plain,
v_c != c_0,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(5,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( class_OrderedGroup_Osemigroup__mult @ A )
| ( ( c_times @ ( c_times @ B @ C @ A ) @ D @ A )
= ( c_times @ B @ ( c_times @ C @ D @ A ) @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Osemigroup__mult__class_Omult__assoc_0) ).
thf(20,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( class_OrderedGroup_Osemigroup__mult @ A )
| ( ( c_times @ ( c_times @ B @ C @ A ) @ D @ A )
= ( c_times @ B @ ( c_times @ C @ D @ A ) @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(8,axiom,
! [A: $i] :
( ~ ( class_Ring__and__Field_Ofield @ A )
| ( class_OrderedGroup_Osemigroup__mult @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Ofield_21) ).
thf(28,plain,
! [A: $i] :
( ~ ( class_Ring__and__Field_Ofield @ A )
| ( class_OrderedGroup_Osemigroup__mult @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(4,axiom,
! [B: $i,A: $i] :
( ~ ( class_OrderedGroup_Omonoid__mult @ A )
| ( ( c_times @ c_1 @ B @ A )
= B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Omonoid__mult__class_Oaxioms__1_0) ).
thf(17,plain,
! [B: $i,A: $i] :
( ~ ( class_OrderedGroup_Omonoid__mult @ A )
| ( ( c_times @ c_1 @ B @ A )
= B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(3,negated_conjecture,
class_Ring__and__Field_Oordered__field @ t_a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
thf(12,plain,
class_Ring__and__Field_Oordered__field @ t_a,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(2,negated_conjecture,
( ( v_g @ v_x )
!= ( c_times @ v_c @ ( c_times @ ( c_HOL_Oinverse @ v_c @ t_a ) @ ( v_g @ v_x ) @ t_a ) @ t_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
thf(11,plain,
( ( v_g @ v_x )
!= ( c_times @ v_c @ ( c_times @ ( c_HOL_Oinverse @ v_c @ t_a ) @ ( v_g @ v_x ) @ t_a ) @ t_a ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(9,axiom,
! [A: $i] :
( ~ ( class_Ring__and__Field_Oordered__field @ A )
| ( class_Ring__and__Field_Ofield @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__field_0) ).
thf(30,plain,
! [A: $i] :
( ~ ( class_Ring__and__Field_Oordered__field @ A )
| ( class_Ring__and__Field_Ofield @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(7,axiom,
! [A: $i] :
( ~ ( class_Ring__and__Field_Ofield @ A )
| ( class_OrderedGroup_Omonoid__mult @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Ofield_12) ).
thf(26,plain,
! [A: $i] :
( ~ ( class_Ring__and__Field_Ofield @ A )
| ( class_OrderedGroup_Omonoid__mult @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(6,axiom,
! [B: $i,A: $i] :
( ~ ( class_Ring__and__Field_Ofield @ A )
| ( B = c_0 )
| ( ( c_times @ B @ ( c_HOL_Oinverse @ B @ A ) @ A )
= c_1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Ring__and__Field_Oright__inverse_0) ).
thf(23,plain,
! [B: $i,A: $i] :
( ~ ( class_Ring__and__Field_Ofield @ A )
| ( B = c_0 )
| ( ( c_times @ B @ ( c_HOL_Oinverse @ B @ A ) @ A )
= c_1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(32,plain,
$false,
inference(e,[status(thm)],[10,20,28,17,12,11,30,26,23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : ANA016-2 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.15 % Command : run_Leo-III %s %d
% 0.15/0.35 % Computer : n029.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu May 18 18:08:14 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.92/0.83 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.22/0.94 % [INFO] Parsing done (112ms).
% 1.22/0.95 % [INFO] Running in sequential loop mode.
% 1.62/1.15 % [INFO] eprover registered as external prover.
% 1.62/1.15 % [INFO] cvc4 registered as external prover.
% 1.62/1.16 % [INFO] Scanning for conjecture ...
% 1.71/1.21 % [INFO] Found a conjecture and 6 axioms. Running axiom selection ...
% 1.71/1.23 % [INFO] Axiom selection finished. Selected 6 axioms (removed 0 axioms).
% 1.88/1.23 % [INFO] Problem is propositional (TPTP CNF).
% 1.88/1.24 % [INFO] Type checking passed.
% 1.88/1.24 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 2.48/1.53 % External prover 'e' found a proof!
% 2.48/1.53 % [INFO] Killing All external provers ...
% 2.67/1.53 % Time passed: 1017ms (effective reasoning time: 573ms)
% 2.67/1.53 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 2.67/1.53 % Axioms used in derivation (6): cls_OrderedGroup_Osemigroup__mult__class_Omult__assoc_0, cls_Ring__and__Field_Oright__inverse_0, cls_OrderedGroup_Omonoid__mult__class_Oaxioms__1_0, clsrel_Ring__and__Field_Ofield_12, clsrel_Ring__and__Field_Ofield_21, clsrel_Ring__and__Field_Oordered__field_0
% 2.67/1.53 % No. of inferences in proof: 19
% 2.67/1.53 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1017 ms resp. 573 ms w/o parsing
% 2.67/1.55 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.67/1.55 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------