%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ANA020-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.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 : Thu Sep 24 12:02:14 PM UTC 2026
% Result : Unsatisfiable 93.19s 12.48s
% Output : CNFRefutation 93.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 30
% Syntax : Number of formulae : 96 ( 21 unt; 7 def)
% Number of atoms : 212 ( 11 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 229 ( 113 ~; 109 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 8 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-3 aty)
% Number of variables : 104 ( 104 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1071,axiom,
! [T_a,V_a] :
( c_lessequals(c_0,c_HOL_Oabs(V_a,T_a),T_a)
| ~ class_OrderedGroup_Olordered__ab__group__abs(T_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1074,axiom,
! [T_a] :
( c_lessequals(c_HOL_Oabs(c_0,T_a),c_0,T_a)
| ~ class_OrderedGroup_Olordered__ab__group__abs(T_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1139,axiom,
! [T_a,V_y] :
( c_OrderedGroup_Opprt(V_y,T_a) = V_y
| ~ c_lessequals(c_0,V_y,T_a)
| ~ class_OrderedGroup_Olordered__ab__group(T_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1144,axiom,
! [T_a,V_a] :
( c_lessequals(c_0,c_OrderedGroup_Opprt(V_a,T_a),T_a)
| ~ class_OrderedGroup_Olordered__ab__group(T_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1430,axiom,
! [T_a,V_i,V_k] :
( c_lessequals(V_i,V_k,T_a)
| ~ c_in(V_i,c_SetInterval_OatMost(V_k,T_a),T_a)
| ~ class_Orderings_Oord(T_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1431,axiom,
! [T_a,V_i,V_k] :
( c_in(V_i,c_SetInterval_OatMost(V_k,T_a),T_a)
| ~ c_lessequals(V_i,V_k,T_a)
| ~ class_Orderings_Oord(T_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1433,axiom,
! [T_a,V_x,V_y] :
( c_lessequals(c_SetInterval_OatMost(V_x,T_a),c_SetInterval_OatMost(V_y,T_a),tc_set(T_a))
| ~ c_lessequals(V_x,V_y,T_a)
| ~ class_Orderings_Oorder(T_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1729,axiom,
! [V_c,V_A,T_a,V_B] :
( c_in(V_c,V_B,T_a)
| ~ c_lessequals(V_A,V_B,tc_set(T_a))
| ~ c_in(V_c,V_A,T_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1956,axiom,
! [T] :
( class_Orderings_Oorder(T)
| ~ class_OrderedGroup_Olordered__ab__group(T) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1967,axiom,
! [T] :
( class_Orderings_Oorder(T)
| ~ class_OrderedGroup_Olordered__ab__group__abs(T) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2075,axiom,
! [T] :
( class_Orderings_Oord(T)
| ~ class_Orderings_Oorder(T) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2312,axiom,
! [T] :
( class_OrderedGroup_Olordered__ab__group__abs(T)
| ~ class_Ring__and__Field_Olordered__ring(T) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2452,axiom,
! [T] :
( class_Ring__and__Field_Opordered__cancel__semiring(T)
| ~ class_Ring__and__Field_Oordered__idom(T) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2459,axiom,
! [T] :
( class_Ring__and__Field_Oordered__ring__strict(T)
| ~ class_Ring__and__Field_Oordered__idom(T) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2466,axiom,
! [T] :
( class_OrderedGroup_Olordered__ab__group(T)
| ~ class_Ring__and__Field_Oordered__idom(T) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2500,axiom,
! [T] :
( class_Ring__and__Field_Olordered__ring(T)
| ~ class_Ring__and__Field_Oordered__ring__strict(T) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2782,axiom,
! [T_a,V_x,V_y] :
( c_lessequals(V_x,V_y,T_a)
| ~ c_less(V_x,V_y,T_a)
| ~ class_Orderings_Oorder(T_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2783,axiom,
! [T_a,V_b,V_a] :
( c_lessequals(c_0,c_times(V_a,V_b,T_a),T_a)
| ~ c_lessequals(c_0,V_a,T_a)
| ~ c_lessequals(c_0,V_b,T_a)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2786,negated_conjecture,
v_f(c_0) = c_0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2787,negated_conjecture,
c_less(c_0,v_c,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2789,negated_conjecture,
v_x = c_0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2790,negated_conjecture,
~ c_lessequals(c_HOL_Oabs(v_f(v_x),t_a),c_times(v_c,c_HOL_Oabs(v_h(v_x),t_a),t_a),t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2791,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4226,plain,
! [T_a] :
( ! [V_a] : c_lessequals(c_0,c_HOL_Oabs(V_a,T_a),T_a)
| ~ class_OrderedGroup_Olordered__ab__group__abs(T_a) ),
inference(miniscoping,[status(thm)],[f1071]) ).
fof(f4227,plain,
! [X0,X1] :
( c_lessequals(c_0,c_HOL_Oabs(X1,X0),X0)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
inference(cnf_transformation,[status(thm)],[f4226]) ).
fof(f4232,plain,
! [X0] :
( c_lessequals(c_HOL_Oabs(c_0,X0),c_0,X0)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
inference(cnf_transformation,[status(thm)],[f1074]) ).
fof(f4329,plain,
! [X0,X1] :
( X1 = c_OrderedGroup_Opprt(X1,X0)
| ~ c_lessequals(c_0,X1,X0)
| ~ class_OrderedGroup_Olordered__ab__group(X0) ),
inference(cnf_transformation,[status(thm)],[f1139]) ).
fof(f4335,plain,
! [T_a] :
( ! [V_a] : c_lessequals(c_0,c_OrderedGroup_Opprt(V_a,T_a),T_a)
| ~ class_OrderedGroup_Olordered__ab__group(T_a) ),
inference(miniscoping,[status(thm)],[f1144]) ).
fof(f4336,plain,
! [X0,X1] :
( c_lessequals(c_0,c_OrderedGroup_Opprt(X1,X0),X0)
| ~ class_OrderedGroup_Olordered__ab__group(X0) ),
inference(cnf_transformation,[status(thm)],[f4335]) ).
fof(f4773,plain,
! [X0,X1,X2] :
( c_lessequals(X1,X2,X0)
| ~ c_in(X1,c_SetInterval_OatMost(X2,X0),X0)
| ~ class_Orderings_Oord(X0) ),
inference(cnf_transformation,[status(thm)],[f1430]) ).
fof(f4774,plain,
! [X0,X1,X2] :
( ~ c_lessequals(X0,X1,X2)
| ~ class_Orderings_Oord(X2)
| c_in(X0,c_SetInterval_OatMost(X1,X2),X2) ),
inference(cnf_transformation,[status(thm)],[f1431]) ).
fof(f4776,plain,
! [X0,X1,X2] :
( c_lessequals(c_SetInterval_OatMost(X0,X2),c_SetInterval_OatMost(X1,X2),tc_set(X2))
| ~ class_Orderings_Oorder(X2)
| ~ c_lessequals(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f1433]) ).
fof(f5161,plain,
! [V_c,T_a,V_B] :
( c_in(V_c,V_B,T_a)
| ! [V_A] :
( ~ c_lessequals(V_A,V_B,tc_set(T_a))
| ~ c_in(V_c,V_A,T_a) ) ),
inference(miniscoping,[status(thm)],[f1729]) ).
fof(f5162,plain,
! [X0,X1,X2,X3] :
( ~ c_lessequals(X3,X1,tc_set(X2))
| ~ c_in(X0,X3,X2)
| c_in(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f5161]) ).
fof(f5399,plain,
! [X0] :
( class_Orderings_Oorder(X0)
| ~ class_OrderedGroup_Olordered__ab__group(X0) ),
inference(cnf_transformation,[status(thm)],[f1956]) ).
fof(f5410,plain,
! [X0] :
( class_Orderings_Oorder(X0)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
inference(cnf_transformation,[status(thm)],[f1967]) ).
fof(f5518,plain,
! [X0] :
( ~ class_Orderings_Oorder(X0)
| class_Orderings_Oord(X0) ),
inference(cnf_transformation,[status(thm)],[f2075]) ).
fof(f5755,plain,
! [X0] :
( class_OrderedGroup_Olordered__ab__group__abs(X0)
| ~ class_Ring__and__Field_Olordered__ring(X0) ),
inference(cnf_transformation,[status(thm)],[f2312]) ).
fof(f5895,plain,
! [X0] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
inference(cnf_transformation,[status(thm)],[f2452]) ).
fof(f5902,plain,
! [X0] :
( class_Ring__and__Field_Oordered__ring__strict(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
inference(cnf_transformation,[status(thm)],[f2459]) ).
fof(f5909,plain,
! [X0] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_OrderedGroup_Olordered__ab__group(X0) ),
inference(cnf_transformation,[status(thm)],[f2466]) ).
fof(f5943,plain,
! [X0] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
| class_Ring__and__Field_Olordered__ring(X0) ),
inference(cnf_transformation,[status(thm)],[f2500]) ).
fof(f6225,plain,
! [X0,X1,X2] :
( c_lessequals(X0,X1,X2)
| ~ class_Orderings_Oorder(X2)
| ~ c_less(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f2782]) ).
fof(f6226,plain,
! [X0,X1,X2] :
( c_lessequals(c_0,c_times(X0,X2,X1),X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
| ~ c_lessequals(c_0,X2,X1)
| ~ c_lessequals(c_0,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f2783]) ).
fof(f6231,plain,
c_0 = v_f(c_0),
inference(cnf_transformation,[status(thm)],[f2786]) ).
fof(f6232,plain,
c_less(c_0,v_c,t_a),
inference(cnf_transformation,[status(thm)],[f2787]) ).
fof(f6234,plain,
v_x = c_0,
inference(cnf_transformation,[status(thm)],[f2789]) ).
fof(f6235,plain,
~ c_lessequals(c_HOL_Oabs(v_f(v_x),t_a),c_times(v_c,c_HOL_Oabs(v_h(v_x),t_a),t_a),t_a),
inference(cnf_transformation,[status(thm)],[f2790]) ).
fof(f6236,plain,
class_Ring__and__Field_Oordered__idom(t_a),
inference(cnf_transformation,[status(thm)],[f2791]) ).
fof(f6246,plain,
~ c_lessequals(c_HOL_Oabs(v_f(c_0),t_a),c_times(v_c,c_HOL_Oabs(v_h(v_x),t_a),t_a),t_a),
inference(forward_demodulation,[status(thm)],[f6234,f6235]) ).
fof(f6247,plain,
~ c_lessequals(c_HOL_Oabs(c_0,t_a),c_times(v_c,c_HOL_Oabs(v_h(v_x),t_a),t_a),t_a),
inference(forward_demodulation,[status(thm)],[f6231,f6246]) ).
fof(f6248,plain,
~ c_lessequals(c_HOL_Oabs(c_0,t_a),c_times(v_c,c_HOL_Oabs(v_h(c_0),t_a),t_a),t_a),
inference(forward_demodulation,[status(thm)],[f6234,f6247]) ).
fof(f8862,plain,
class_Ring__and__Field_Opordered__cancel__semiring(t_a),
inference(resolution,[status(thm)],[f5895,f6236]) ).
fof(f9092,plain,
class_OrderedGroup_Olordered__ab__group(t_a),
inference(resolution,[status(thm)],[f5909,f6236]) ).
fof(f9963,plain,
class_Ring__and__Field_Oordered__ring__strict(t_a),
inference(resolution,[status(thm)],[f5902,f6236]) ).
fof(f9980,plain,
class_Ring__and__Field_Olordered__ring(t_a),
inference(resolution,[status(thm)],[f9963,f5943]) ).
fof(f46822,plain,
! [X0,X1] :
( ~ class_Orderings_Oorder(X0)
| ~ c_less(c_0,X1,X0)
| X1 = c_OrderedGroup_Opprt(X1,X0)
| ~ class_OrderedGroup_Olordered__ab__group(X0) ),
inference(resolution,[status(thm)],[f4329,f6225]) ).
fof(f46844,plain,
! [X0,X1] :
( ~ c_less(c_0,X1,X0)
| X1 = c_OrderedGroup_Opprt(X1,X0)
| ~ class_OrderedGroup_Olordered__ab__group(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f46822,f5399]) ).
fof(f47630,plain,
( v_c = c_OrderedGroup_Opprt(v_c,t_a)
| ~ class_OrderedGroup_Olordered__ab__group(t_a) ),
inference(resolution,[status(thm)],[f46844,f6232]) ).
fof(f47661,definition,
( sQ1588_spl
<=> class_OrderedGroup_Olordered__ab__group(t_a) ),
introduced(definition,[new_symbols(definition,[sQ1588_spl])],[split_symbol_definition]) ).
fof(f47663,plain,
( sQ1588_spl
| ~ class_OrderedGroup_Olordered__ab__group(t_a) ),
inference(component_clause,[status(thm)],[f47661]) ).
fof(f47664,definition,
( sQ1589_spl
<=> v_c = c_OrderedGroup_Opprt(v_c,t_a) ),
introduced(definition,[new_symbols(definition,[sQ1589_spl])],[split_symbol_definition]) ).
fof(f47665,plain,
( ~ sQ1589_spl
| c_OrderedGroup_Opprt(v_c,t_a) = v_c ),
inference(component_clause,[status(thm)],[f47664]) ).
fof(f47667,plain,
( sQ1589_spl
| ~ sQ1588_spl ),
inference(split_clause,[status(thm)],[f47630,f47661,f47664]) ).
fof(f47723,plain,
( sQ1588_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f47663,f9092]) ).
fof(f47724,plain,
sQ1588_spl,
inference(contradiction_clause,[status(thm)],[f47723]) ).
fof(f47737,plain,
( ~ sQ1589_spl
| c_lessequals(c_0,v_c,t_a)
| ~ class_OrderedGroup_Olordered__ab__group(t_a) ),
inference(paramodulation,[status(thm)],[f47665,f4336]) ).
fof(f47742,definition,
( sQ1606_spl
<=> c_lessequals(c_0,v_c,t_a) ),
introduced(definition,[new_symbols(definition,[sQ1606_spl])],[split_symbol_definition]) ).
fof(f47745,plain,
( ~ sQ1589_spl
| sQ1606_spl
| ~ sQ1588_spl ),
inference(split_clause,[status(thm)],[f47737,f47661,f47742,f47664]) ).
fof(f55156,plain,
! [X0,X1,X2,X3] :
( c_in(X0,c_SetInterval_OatMost(X3,X2),X2)
| ~ class_Orderings_Oorder(X2)
| ~ c_lessequals(X1,X3,X2)
| ~ c_in(X0,c_SetInterval_OatMost(X1,X2),X2) ),
inference(resolution,[status(thm)],[f4776,f5162]) ).
fof(f58818,definition,
( sQ2494_spl
<=> class_OrderedGroup_Olordered__ab__group__abs(t_a) ),
introduced(definition,[new_symbols(definition,[sQ2494_spl])],[split_symbol_definition]) ).
fof(f58820,plain,
( sQ2494_spl
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_a) ),
inference(component_clause,[status(thm)],[f58818]) ).
fof(f58831,plain,
( sQ2494_spl
| ~ class_Ring__and__Field_Olordered__ring(t_a) ),
inference(resolution,[status(thm)],[f58820,f5755]) ).
fof(f58834,plain,
( sQ2494_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f58831,f9980]) ).
fof(f58835,plain,
sQ2494_spl,
inference(contradiction_clause,[status(thm)],[f58834]) ).
fof(f61454,plain,
! [X0,X1,X2,X3] :
( c_lessequals(X0,X3,X2)
| ~ class_Orderings_Oord(X2)
| ~ class_Orderings_Oorder(X2)
| ~ c_lessequals(X1,X3,X2)
| ~ c_in(X0,c_SetInterval_OatMost(X1,X2),X2) ),
inference(resolution,[status(thm)],[f55156,f4773]) ).
fof(f61457,plain,
! [X0,X1,X2,X3] :
( c_lessequals(X3,X1,X2)
| ~ c_in(X3,c_SetInterval_OatMost(X0,X2),X2)
| ~ class_Orderings_Oorder(X2)
| ~ c_lessequals(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f61454,f5518]) ).
fof(f61491,definition,
( sQ2848_spl
<=> c_lessequals(c_0,c_HOL_Oabs(v_h(c_0),t_a),t_a) ),
introduced(definition,[new_symbols(definition,[sQ2848_spl])],[split_symbol_definition]) ).
fof(f61493,plain,
( sQ2848_spl
| ~ c_lessequals(c_0,c_HOL_Oabs(v_h(c_0),t_a),t_a) ),
inference(component_clause,[status(thm)],[f61491]) ).
fof(f61494,definition,
( sQ2849_spl
<=> class_Ring__and__Field_Opordered__cancel__semiring(t_a) ),
introduced(definition,[new_symbols(definition,[sQ2849_spl])],[split_symbol_definition]) ).
fof(f61496,plain,
( sQ2849_spl
| ~ class_Ring__and__Field_Opordered__cancel__semiring(t_a) ),
inference(component_clause,[status(thm)],[f61494]) ).
fof(f61518,plain,
( sQ2849_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f61496,f8862]) ).
fof(f61519,plain,
sQ2849_spl,
inference(contradiction_clause,[status(thm)],[f61518]) ).
fof(f61905,plain,
! [X0,X1,X2,X3] :
( ~ c_lessequals(X3,X0,X2)
| ~ class_Orderings_Oord(X2)
| c_lessequals(X3,X1,X2)
| ~ class_Orderings_Oorder(X2)
| ~ c_lessequals(X0,X1,X2) ),
inference(resolution,[status(thm)],[f61457,f4774]) ).
fof(f61913,plain,
! [X0,X1,X2,X3] :
( c_lessequals(X3,X1,X2)
| ~ c_lessequals(X3,X0,X2)
| ~ class_Orderings_Oorder(X2)
| ~ c_lessequals(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f61905,f5518]) ).
fof(f61976,plain,
! [X0,X1] :
( ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| c_lessequals(c_HOL_Oabs(c_0,X1),X0,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(c_0,X0,X1) ),
inference(resolution,[status(thm)],[f61913,f4232]) ).
fof(f62796,plain,
! [X0,X1] :
( ~ c_lessequals(c_0,X1,X0)
| c_lessequals(c_HOL_Oabs(c_0,X0),X1,X0)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f61976,f5410]) ).
fof(f63269,definition,
( sQ3113_spl
<=> c_lessequals(c_0,c_times(v_c,c_HOL_Oabs(v_h(c_0),t_a),t_a),t_a) ),
introduced(definition,[new_symbols(definition,[sQ3113_spl])],[split_symbol_definition]) ).
fof(f63271,plain,
( sQ3113_spl
| ~ c_lessequals(c_0,c_times(v_c,c_HOL_Oabs(v_h(c_0),t_a),t_a),t_a) ),
inference(component_clause,[status(thm)],[f63269]) ).
fof(f64513,plain,
( ~ c_lessequals(c_0,c_times(v_c,c_HOL_Oabs(v_h(c_0),t_a),t_a),t_a)
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_a) ),
inference(resolution,[status(thm)],[f62796,f6248]) ).
fof(f64548,plain,
( ~ sQ3113_spl
| ~ sQ2494_spl ),
inference(split_clause,[status(thm)],[f64513,f58818,f63269]) ).
fof(f65852,plain,
( sQ3113_spl
| ~ class_Ring__and__Field_Opordered__cancel__semiring(t_a)
| ~ c_lessequals(c_0,c_HOL_Oabs(v_h(c_0),t_a),t_a)
| ~ c_lessequals(c_0,v_c,t_a) ),
inference(resolution,[status(thm)],[f63271,f6226]) ).
fof(f65869,plain,
( sQ3113_spl
| ~ sQ2849_spl
| ~ sQ2848_spl
| ~ sQ1606_spl ),
inference(split_clause,[status(thm)],[f65852,f47742,f61491,f61494,f63269]) ).
fof(f65906,plain,
( sQ2848_spl
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_a) ),
inference(resolution,[status(thm)],[f61493,f4227]) ).
fof(f65917,plain,
( sQ2848_spl
| ~ sQ2494_spl ),
inference(split_clause,[status(thm)],[f65906,f58818,f61491]) ).
fof(f65930,plain,
$false,
inference(sat_refutation,[status(thm)],[f47667,f47724,f47745,f58835,f61519,f64548,f65869,f65917]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : ANA020-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.44 % Computer : n005.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Mon Sep 21 13:24:03 UTC 2026
% 0.19/0.44 % CPUTime :
% 0.40/0.69 % Drodi V4.1.1
% 93.19/12.48 % Refutation found
% 93.19/12.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 93.19/12.48 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 6.97/13.69 % Elapsed time: 13.210687 seconds
% 6.97/13.69 % CPU time: 91.001493 seconds
% 6.97/13.69 % Total memory used: 721.008 MB
% 6.97/13.69 % Net memory used: 690.189 MB
%------------------------------------------------------------------------------