TSTP Solution File: ANA027-2 by Leo-III-SAT---1.7.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : ANA027-2 : TPTP v8.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n009.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 : Mon May 20 18:39:33 EDT 2024
% Result : Unsatisfiable 8.19s 2.58s
% Output : Refutation 8.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 28
% Syntax : Number of formulae : 82 ( 21 unt; 15 typ; 0 def)
% Number of atoms : 152 ( 17 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 521 ( 72 ~; 65 |; 0 &; 384 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 18 ( 18 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 15 usr; 5 con; 0-3 aty)
% Number of variables : 85 ( 0 ^ 85 !; 0 ?; 85 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_lessequals_type,type,
c_lessequals: $i > $i > $i > $o ).
thf(c_0_type,type,
c_0: $i ).
thf(c_minus_type,type,
c_minus: $i > $i > $i > $i ).
thf(v_f_type,type,
v_f: $i > $i ).
thf(v_x_type,type,
v_x: $i ).
thf(v_k_type,type,
v_k: $i > $i ).
thf(t_b_type,type,
t_b: $i ).
thf(v_g_type,type,
v_g: $i > $i ).
thf(class_Ring__and__Field_Oordered__idom_type,type,
class_Ring__and__Field_Oordered__idom: $i > $o ).
thf(class_OrderedGroup_Ocomm__monoid__add_type,type,
class_OrderedGroup_Ocomm__monoid__add: $i > $o ).
thf(c_plus_type,type,
c_plus: $i > $i > $i > $i ).
thf(class_OrderedGroup_Opordered__ab__group__add_type,type,
class_OrderedGroup_Opordered__ab__group__add: $i > $o ).
thf(class_Orderings_Oorder_type,type,
class_Orderings_Oorder: $i > $o ).
thf(class_LOrder_Ojoin__semilorder_type,type,
class_LOrder_Ojoin__semilorder: $i > $o ).
thf(class_OrderedGroup_Olordered__ab__group__abs_type,type,
class_OrderedGroup_Olordered__ab__group__abs: $i > $o ).
thf(1,negated_conjecture,
c_lessequals @ c_0 @ ( c_minus @ ( v_f @ v_x ) @ ( v_k @ v_x ) @ t_b ) @ t_b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
thf(14,plain,
c_lessequals @ c_0 @ ( c_minus @ ( v_f @ v_x ) @ ( v_k @ v_x ) @ t_b ) @ t_b,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(6,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( class_OrderedGroup_Opordered__ab__group__add @ A )
| ~ ( c_lessequals @ B @ ( c_minus @ C @ D @ A ) @ A )
| ( c_lessequals @ ( c_plus @ B @ D @ A ) @ C @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__9_0) ).
thf(22,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( class_OrderedGroup_Opordered__ab__group__add @ A )
| ~ ( c_lessequals @ B @ ( c_minus @ C @ D @ A ) @ A )
| ( c_lessequals @ ( c_plus @ B @ D @ A ) @ C @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(23,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( class_OrderedGroup_Opordered__ab__group__add @ A )
| ~ ( c_lessequals @ B @ ( c_minus @ C @ D @ A ) @ A )
| ( c_lessequals @ ( c_plus @ B @ D @ A ) @ C @ A ) ),
inference(cnf,[status(esa)],[22]) ).
thf(128,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( class_OrderedGroup_Opordered__ab__group__add @ A )
| ( c_lessequals @ ( c_plus @ B @ D @ A ) @ C @ A )
| ( ( c_lessequals @ c_0 @ ( c_minus @ ( v_f @ v_x ) @ ( v_k @ v_x ) @ t_b ) @ t_b )
!= ( c_lessequals @ B @ ( c_minus @ C @ D @ A ) @ A ) ) ),
inference(paramod_ordered,[status(thm)],[14,23]) ).
thf(129,plain,
( ~ ( class_OrderedGroup_Opordered__ab__group__add @ t_b )
| ( c_lessequals @ ( c_plus @ c_0 @ ( v_k @ v_x ) @ t_b ) @ ( v_f @ v_x ) @ t_b ) ),
inference(pattern_uni,[status(thm)],[128:[bind(A,$thf( t_b )),bind(B,$thf( c_0 )),bind(C,$thf( v_f @ v_x )),bind(D,$thf( v_k @ v_x ))]]) ).
thf(4,negated_conjecture,
class_Ring__and__Field_Oordered__idom @ t_b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
thf(17,plain,
class_Ring__and__Field_Oordered__idom @ t_b,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(12,axiom,
! [A: $i] :
( ~ ( class_Ring__and__Field_Oordered__idom @ A )
| ( class_OrderedGroup_Ocomm__monoid__add @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_23) ).
thf(34,plain,
! [A: $i] :
( ~ ( class_Ring__and__Field_Oordered__idom @ A )
| ( class_OrderedGroup_Ocomm__monoid__add @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(35,plain,
! [A: $i] :
( ~ ( class_Ring__and__Field_Oordered__idom @ A )
| ( class_OrderedGroup_Ocomm__monoid__add @ A ) ),
inference(cnf,[status(esa)],[34]) ).
thf(48,plain,
! [A: $i] :
( ( class_OrderedGroup_Ocomm__monoid__add @ A )
| ( ( class_Ring__and__Field_Oordered__idom @ t_b )
!= ( class_Ring__and__Field_Oordered__idom @ A ) ) ),
inference(paramod_ordered,[status(thm)],[17,35]) ).
thf(49,plain,
class_OrderedGroup_Ocomm__monoid__add @ t_b,
inference(pattern_uni,[status(thm)],[48:[bind(A,$thf( t_b ))]]) ).
thf(5,axiom,
! [B: $i,A: $i] :
( ~ ( class_OrderedGroup_Ocomm__monoid__add @ A )
| ( ( c_plus @ c_0 @ B @ A )
= B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocomm__monoid__add__class_Oaxioms_0) ).
thf(19,plain,
! [B: $i,A: $i] :
( ~ ( class_OrderedGroup_Ocomm__monoid__add @ A )
| ( ( c_plus @ c_0 @ B @ A )
= B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(20,plain,
! [B: $i,A: $i] :
( ~ ( class_OrderedGroup_Ocomm__monoid__add @ A )
| ( ( c_plus @ c_0 @ B @ A )
= B ) ),
inference(cnf,[status(esa)],[19]) ).
thf(21,plain,
! [B: $i,A: $i] :
( ( ( c_plus @ c_0 @ B @ A )
= B )
| ~ ( class_OrderedGroup_Ocomm__monoid__add @ A ) ),
inference(lifteq,[status(thm)],[20]) ).
thf(51,plain,
! [B: $i,A: $i] :
( ( ( c_plus @ c_0 @ B @ A )
= B )
| ( ( class_OrderedGroup_Ocomm__monoid__add @ t_b )
!= ( class_OrderedGroup_Ocomm__monoid__add @ A ) ) ),
inference(paramod_ordered,[status(thm)],[49,21]) ).
thf(52,plain,
! [A: $i] :
( ( c_plus @ c_0 @ A @ t_b )
= A ),
inference(pattern_uni,[status(thm)],[51:[bind(A,$thf( t_b ))]]) ).
thf(53,plain,
! [A: $i] :
( ( c_plus @ c_0 @ A @ t_b )
= A ),
inference(simp,[status(thm)],[52]) ).
thf(13,axiom,
! [A: $i] :
( ~ ( class_Ring__and__Field_Oordered__idom @ A )
| ( class_OrderedGroup_Olordered__ab__group__abs @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).
thf(36,plain,
! [A: $i] :
( ~ ( class_Ring__and__Field_Oordered__idom @ A )
| ( class_OrderedGroup_Olordered__ab__group__abs @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(37,plain,
! [A: $i] :
( ~ ( class_Ring__and__Field_Oordered__idom @ A )
| ( class_OrderedGroup_Olordered__ab__group__abs @ A ) ),
inference(cnf,[status(esa)],[36]) ).
thf(107,plain,
! [A: $i] :
( ( class_OrderedGroup_Olordered__ab__group__abs @ A )
| ( ( class_Ring__and__Field_Oordered__idom @ t_b )
!= ( class_Ring__and__Field_Oordered__idom @ A ) ) ),
inference(paramod_ordered,[status(thm)],[17,37]) ).
thf(108,plain,
class_OrderedGroup_Olordered__ab__group__abs @ t_b,
inference(pattern_uni,[status(thm)],[107:[bind(A,$thf( t_b ))]]) ).
thf(10,axiom,
! [A: $i] :
( ~ ( class_OrderedGroup_Olordered__ab__group__abs @ A )
| ( class_OrderedGroup_Opordered__ab__group__add @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_1) ).
thf(30,plain,
! [A: $i] :
( ~ ( class_OrderedGroup_Olordered__ab__group__abs @ A )
| ( class_OrderedGroup_Opordered__ab__group__add @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(31,plain,
! [A: $i] :
( ~ ( class_OrderedGroup_Olordered__ab__group__abs @ A )
| ( class_OrderedGroup_Opordered__ab__group__add @ A ) ),
inference(cnf,[status(esa)],[30]) ).
thf(109,plain,
! [A: $i] :
( ( class_OrderedGroup_Opordered__ab__group__add @ A )
| ( ( class_OrderedGroup_Olordered__ab__group__abs @ t_b )
!= ( class_OrderedGroup_Olordered__ab__group__abs @ A ) ) ),
inference(paramod_ordered,[status(thm)],[108,31]) ).
thf(110,plain,
class_OrderedGroup_Opordered__ab__group__add @ t_b,
inference(pattern_uni,[status(thm)],[109:[bind(A,$thf( t_b ))]]) ).
thf(192,plain,
( ~ $true
| ( c_lessequals @ ( v_k @ v_x ) @ ( v_f @ v_x ) @ t_b ) ),
inference(rewrite,[status(thm)],[129,53,110]) ).
thf(193,plain,
c_lessequals @ ( v_k @ v_x ) @ ( v_f @ v_x ) @ t_b,
inference(simp,[status(thm)],[192]) ).
thf(2,negated_conjecture,
c_lessequals @ ( v_g @ v_x ) @ ( v_k @ v_x ) @ t_b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
thf(15,plain,
c_lessequals @ ( v_g @ v_x ) @ ( v_k @ v_x ) @ t_b,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(8,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( class_Orderings_Oorder @ A )
| ~ ( c_lessequals @ B @ C @ A )
| ~ ( c_lessequals @ D @ B @ A )
| ( c_lessequals @ D @ C @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oorder__trans_0) ).
thf(26,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( class_Orderings_Oorder @ A )
| ~ ( c_lessequals @ B @ C @ A )
| ~ ( c_lessequals @ D @ B @ A )
| ( c_lessequals @ D @ C @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(27,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( class_Orderings_Oorder @ A )
| ~ ( c_lessequals @ B @ C @ A )
| ~ ( c_lessequals @ D @ B @ A )
| ( c_lessequals @ D @ C @ A ) ),
inference(cnf,[status(esa)],[26]) ).
thf(70,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( class_Orderings_Oorder @ A )
| ~ ( c_lessequals @ B @ C @ A )
| ( c_lessequals @ D @ C @ A )
| ( ( c_lessequals @ ( v_g @ v_x ) @ ( v_k @ v_x ) @ t_b )
!= ( c_lessequals @ D @ B @ A ) ) ),
inference(paramod_ordered,[status(thm)],[15,27]) ).
thf(71,plain,
! [A: $i] :
( ~ ( class_Orderings_Oorder @ t_b )
| ~ ( c_lessequals @ ( v_k @ v_x ) @ A @ t_b )
| ( c_lessequals @ ( v_g @ v_x ) @ A @ t_b ) ),
inference(pattern_uni,[status(thm)],[70:[bind(A,$thf( t_b )),bind(B,$thf( v_k @ v_x )),bind(C,$thf( C )),bind(D,$thf( v_g @ v_x ))]]) ).
thf(77,plain,
! [A: $i] :
( ~ ( class_Orderings_Oorder @ t_b )
| ~ ( c_lessequals @ ( v_k @ v_x ) @ A @ t_b )
| ( c_lessequals @ ( v_g @ v_x ) @ A @ t_b ) ),
inference(simp,[status(thm)],[71]) ).
thf(11,axiom,
! [A: $i] :
( ~ ( class_OrderedGroup_Olordered__ab__group__abs @ A )
| ( class_LOrder_Ojoin__semilorder @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_15) ).
thf(32,plain,
! [A: $i] :
( ~ ( class_OrderedGroup_Olordered__ab__group__abs @ A )
| ( class_LOrder_Ojoin__semilorder @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(33,plain,
! [A: $i] :
( ~ ( class_OrderedGroup_Olordered__ab__group__abs @ A )
| ( class_LOrder_Ojoin__semilorder @ A ) ),
inference(cnf,[status(esa)],[32]) ).
thf(111,plain,
! [A: $i] :
( ( class_LOrder_Ojoin__semilorder @ A )
| ( ( class_OrderedGroup_Olordered__ab__group__abs @ t_b )
!= ( class_OrderedGroup_Olordered__ab__group__abs @ A ) ) ),
inference(paramod_ordered,[status(thm)],[108,33]) ).
thf(112,plain,
class_LOrder_Ojoin__semilorder @ t_b,
inference(pattern_uni,[status(thm)],[111:[bind(A,$thf( t_b ))]]) ).
thf(9,axiom,
! [A: $i] :
( ~ ( class_LOrder_Ojoin__semilorder @ A )
| ( class_Orderings_Oorder @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_LOrder_Ojoin__semilorder_1) ).
thf(28,plain,
! [A: $i] :
( ~ ( class_LOrder_Ojoin__semilorder @ A )
| ( class_Orderings_Oorder @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(29,plain,
! [A: $i] :
( ~ ( class_LOrder_Ojoin__semilorder @ A )
| ( class_Orderings_Oorder @ A ) ),
inference(cnf,[status(esa)],[28]) ).
thf(148,plain,
! [A: $i] :
( ( class_Orderings_Oorder @ A )
| ( ( class_LOrder_Ojoin__semilorder @ t_b )
!= ( class_LOrder_Ojoin__semilorder @ A ) ) ),
inference(paramod_ordered,[status(thm)],[112,29]) ).
thf(149,plain,
class_Orderings_Oorder @ t_b,
inference(pattern_uni,[status(thm)],[148:[bind(A,$thf( t_b ))]]) ).
thf(556,plain,
! [A: $i] :
( ~ $true
| ~ ( c_lessequals @ ( v_k @ v_x ) @ A @ t_b )
| ( c_lessequals @ ( v_g @ v_x ) @ A @ t_b ) ),
inference(rewrite,[status(thm)],[77,149]) ).
thf(557,plain,
! [A: $i] :
( ~ ( c_lessequals @ ( v_k @ v_x ) @ A @ t_b )
| ( c_lessequals @ ( v_g @ v_x ) @ A @ t_b ) ),
inference(simp,[status(thm)],[556]) ).
thf(566,plain,
! [A: $i] :
( ( c_lessequals @ ( v_g @ v_x ) @ A @ t_b )
| ( ( c_lessequals @ ( v_k @ v_x ) @ ( v_f @ v_x ) @ t_b )
!= ( c_lessequals @ ( v_k @ v_x ) @ A @ t_b ) ) ),
inference(paramod_ordered,[status(thm)],[193,557]) ).
thf(567,plain,
c_lessequals @ ( v_g @ v_x ) @ ( v_f @ v_x ) @ t_b,
inference(pattern_uni,[status(thm)],[566:[bind(A,$thf( v_f @ v_x ))]]) ).
thf(7,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( class_OrderedGroup_Opordered__ab__group__add @ A )
| ~ ( c_lessequals @ ( c_plus @ B @ C @ A ) @ D @ A )
| ( c_lessequals @ B @ ( c_minus @ D @ C @ A ) @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__9_1) ).
thf(24,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( class_OrderedGroup_Opordered__ab__group__add @ A )
| ~ ( c_lessequals @ ( c_plus @ B @ C @ A ) @ D @ A )
| ( c_lessequals @ B @ ( c_minus @ D @ C @ A ) @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(25,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( class_OrderedGroup_Opordered__ab__group__add @ A )
| ~ ( c_lessequals @ ( c_plus @ B @ C @ A ) @ D @ A )
| ( c_lessequals @ B @ ( c_minus @ D @ C @ A ) @ A ) ),
inference(cnf,[status(esa)],[24]) ).
thf(3,negated_conjecture,
~ ( c_lessequals @ c_0 @ ( c_minus @ ( v_f @ v_x ) @ ( v_g @ v_x ) @ t_b ) @ t_b ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
thf(16,plain,
~ ( c_lessequals @ c_0 @ ( c_minus @ ( v_f @ v_x ) @ ( v_g @ v_x ) @ t_b ) @ t_b ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(18,plain,
~ ( c_lessequals @ c_0 @ ( c_minus @ ( v_f @ v_x ) @ ( v_g @ v_x ) @ t_b ) @ t_b ),
inference(polarity_switch,[status(thm)],[16]) ).
thf(221,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( class_OrderedGroup_Opordered__ab__group__add @ A )
| ~ ( c_lessequals @ ( c_plus @ B @ C @ A ) @ D @ A )
| ( ( c_lessequals @ B @ ( c_minus @ D @ C @ A ) @ A )
!= ( c_lessequals @ c_0 @ ( c_minus @ ( v_f @ v_x ) @ ( v_g @ v_x ) @ t_b ) @ t_b ) ) ),
inference(paramod_ordered,[status(thm)],[25,18]) ).
thf(222,plain,
( ~ ( class_OrderedGroup_Opordered__ab__group__add @ t_b )
| ~ ( c_lessequals @ ( c_plus @ c_0 @ ( v_g @ v_x ) @ t_b ) @ ( v_f @ v_x ) @ t_b ) ),
inference(pattern_uni,[status(thm)],[221:[bind(A,$thf( t_b )),bind(B,$thf( c_0 )),bind(C,$thf( v_g @ v_x )),bind(D,$thf( v_f @ v_x ))]]) ).
thf(261,plain,
( ~ $true
| ~ ( c_lessequals @ ( v_g @ v_x ) @ ( v_f @ v_x ) @ t_b ) ),
inference(rewrite,[status(thm)],[222,53,110]) ).
thf(262,plain,
~ ( c_lessequals @ ( v_g @ v_x ) @ ( v_f @ v_x ) @ t_b ),
inference(simp,[status(thm)],[261]) ).
thf(702,plain,
$false,
inference(rewrite,[status(thm)],[567,262]) ).
thf(703,plain,
$false,
inference(simp,[status(thm)],[702]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ANA027-2 : TPTP v8.2.0. Released v3.2.0.
% 0.07/0.15 % Command : run_Leo-III %s %d
% 0.16/0.35 % Computer : n009.cluster.edu
% 0.16/0.35 % Model : x86_64 x86_64
% 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35 % Memory : 8042.1875MB
% 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35 % CPULimit : 300
% 0.16/0.35 % WCLimit : 300
% 0.16/0.35 % DateTime : Mon May 20 08:00:09 EDT 2024
% 0.16/0.35 % CPUTime :
% 0.84/0.85 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.17/0.97 % [INFO] Parsing done (112ms).
% 1.17/0.98 % [INFO] Running in sequential loop mode.
% 1.51/1.17 % [INFO] nitpick registered as external prover.
% 1.51/1.18 % [INFO] Scanning for conjecture ...
% 1.80/1.23 % [INFO] Found a conjecture (or negated_conjecture) and 9 axioms. Running axiom selection ...
% 1.88/1.25 % [INFO] Axiom selection finished. Selected 9 axioms (removed 0 axioms).
% 1.88/1.26 % [INFO] Problem is propositional (TPTP CNF).
% 1.88/1.26 % [INFO] Type checking passed.
% 1.88/1.27 % [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 ...
% 8.19/2.57 % [INFO] Killing All external provers ...
% 8.19/2.58 % Time passed: 2056ms (effective reasoning time: 1595ms)
% 8.19/2.58 % Axioms used in derivation (9): cls_OrderedGroup_Ocompare__rls__9_1, cls_OrderedGroup_Ocomm__monoid__add__class_Oaxioms_0, clsrel_LOrder_Ojoin__semilorder_1, clsrel_Ring__and__Field_Oordered__idom_23, cls_Orderings_Oorder__class_Oorder__trans_0, cls_OrderedGroup_Ocompare__rls__9_0, clsrel_OrderedGroup_Olordered__ab__group__abs_15, clsrel_Ring__and__Field_Oordered__idom_50, clsrel_OrderedGroup_Olordered__ab__group__abs_1
% 8.19/2.58 % No. of inferences in proof: 67
% 8.19/2.58 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 2056 ms resp. 1595 ms w/o parsing
% 8.19/2.63 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 8.19/2.63 % [INFO] Killing All external provers ...
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