%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : ANA007-2 : TPTP v9.2.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n027.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 : Tue May 5 04:09:16 PM UTC 2026
% Result : Unsatisfiable 0.24s 1.61s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 26)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
~ c_lessequals(c_HOL_Oabs(v_f(v_x(X1)),t_b),c_times(X1,c_HOL_Oabs(v_f(v_x(X1)),t_b),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_Orderings_Oorder__class_Oaxioms__1_0,axiom,
( c_lessequals(X2,X2,X1)
| ~ class_Orderings_Oorder(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oaxioms__1_0) ).
cnf(cls_Ring__and__Field_Omult__cancel__right1_2,axiom,
( X2 = c_times(c_1,X2,X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Ring__and__Field_Omult__cancel__right1_2) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_44,axiom,
( class_Orderings_Oorder(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_44) ).
cnf(tfree_tcs,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
cnf(i_0_5,negated_conjecture,
~ c_lessequals(c_HOL_Oabs(v_f(v_x(X1)),t_b),c_times(X1,c_HOL_Oabs(v_f(v_x(X1)),t_b),t_b),t_b),
cls_conjecture_0,
[final] ).
cnf(i_0_6,axiom,
( c_lessequals(X2,X2,X1)
| ~ class_Orderings_Oorder(X1) ),
cls_Orderings_Oorder__class_Oaxioms__1_0,
[final] ).
cnf(i_0_7,axiom,
( X2 = c_times(c_1,X2,X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
cls_Ring__and__Field_Omult__cancel__right1_2,
[final] ).
cnf(i_0_8,axiom,
( class_Orderings_Oorder(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
clsrel_Ring__and__Field_Oordered__idom_44,
[final] ).
cnf(i_0_9,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
tfree_tcs,
[final] ).
cnf(i_0_10,axiom,
X1 = X1 ).
cnf(i_0_11,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_12,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_13,axiom,
( X1 != X2
| c_times(X1,X3,X4) = c_times(X2,X3,X4) ) ).
cnf(i_0_14,axiom,
( X1 != X2
| c_times(X3,X1,X4) = c_times(X3,X2,X4) ) ).
cnf(i_0_15,axiom,
( X1 != X2
| c_times(X3,X4,X1) = c_times(X3,X4,X2) ) ).
cnf(i_0_16,axiom,
( X1 != X2
| ~ c_lessequals(X1,X3,X4)
| c_lessequals(X2,X3,X4) ) ).
cnf(i_0_17,axiom,
( X1 != X2
| ~ c_lessequals(X3,X1,X4)
| c_lessequals(X3,X2,X4) ) ).
cnf(i_0_18,axiom,
( X1 != X2
| ~ c_lessequals(X3,X4,X1)
| c_lessequals(X3,X4,X2) ) ).
cnf(i_0_19,axiom,
( X1 != X2
| ~ class_Orderings_Oorder(X1)
| class_Orderings_Oorder(X2) ) ).
cnf(i_0_20,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Ring__and__Field_Oordered__idom(X2) ) ).
cnf(i_0_10_001,axiom,
X1 = X1 ).
cnf(i_0_11_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_12_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_13_004,axiom,
( X1 != X2
| c_times(X1,X3,X4) = c_times(X2,X3,X4) ) ).
cnf(i_0_14_005,axiom,
( X1 != X2
| c_times(X3,X1,X4) = c_times(X3,X2,X4) ) ).
cnf(i_0_15_006,axiom,
( X1 != X2
| c_times(X3,X4,X1) = c_times(X3,X4,X2) ) ).
cnf(i_0_16_007,axiom,
( X1 != X2
| ~ c_lessequals(X1,X3,X4)
| c_lessequals(X2,X3,X4) ) ).
cnf(i_0_17_008,axiom,
( X1 != X2
| ~ c_lessequals(X3,X1,X4)
| c_lessequals(X3,X2,X4) ) ).
cnf(i_0_18_009,axiom,
( X1 != X2
| ~ c_lessequals(X3,X4,X1)
| c_lessequals(X3,X4,X2) ) ).
cnf(i_0_19_010,axiom,
( X1 != X2
| ~ class_Orderings_Oorder(X1)
| class_Orderings_Oorder(X2) ) ).
cnf(i_0_20_011,axiom,
( X1 != X2
| ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Ring__and__Field_Oordered__idom(X2) ) ).
cnf(i_0_21,plain,
class_Orderings_Oorder(t_b),
inference(scs_inference,[],[i_0_9,i_0_8]) ).
cnf(i_0_22,plain,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Orderings_Oorder(X1) ),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_23,plain,
c_lessequals(X1,X1,t_b),
inference(scs_inference,[],[i_0_9,i_0_8,i_0_6]) ).
cnf(i_0_24,plain,
( ~ class_Orderings_Oorder(X1)
| c_lessequals(X2,X2,X1) ),
inference(rename_variables,[],[i_0_6]) ).
cnf(i_0_25,plain,
c_HOL_Oabs(v_f(v_x(X1)),t_b) != c_times(X1,c_HOL_Oabs(v_f(v_x(X1)),t_b),t_b),
inference(scs_inference,[],[i_0_5,i_0_9,i_0_8,i_0_6,i_0_17]) ).
cnf(i_0_26,plain,
( X1 != t_b
| ~ c_lessequals(c_HOL_Oabs(v_f(v_x(X2)),t_b),c_times(X2,c_HOL_Oabs(v_f(v_x(X2)),t_b),t_b),X1) ),
inference(scs_inference,[],[i_0_5,i_0_9,i_0_8,i_0_6,i_0_17,i_0_18]) ).
cnf(i_0_27,plain,
( X1 = c_times(c_1,X1,X2)
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
inference(rename_variables,[],[i_0_7]) ).
cnf(i_0_28,plain,
( X1 != c_HOL_Oabs(v_f(v_x(c_1)),t_b)
| ~ c_lessequals(X1,c_times(c_1,c_HOL_Oabs(v_f(v_x(c_1)),t_b),t_b),t_b) ),
inference(scs_inference,[],[i_0_5,i_0_9,i_0_8,i_0_6,i_0_17,i_0_18,i_0_7,i_0_16]) ).
cnf(i_0_29,plain,
~ c_lessequals(c_HOL_Oabs(v_f(v_x(X1)),t_b),c_times(X1,c_HOL_Oabs(v_f(v_x(X1)),t_b),t_b),t_b),
inference(rename_variables,[],[i_0_5]) ).
cnf(i_0_30,plain,
( class_Orderings_Oorder(X1)
| t_b != X1 ),
inference(scs_inference,[],[i_0_5,i_0_9,i_0_8,i_0_6,i_0_17,i_0_18,i_0_7,i_0_16,i_0_19]) ).
cnf(i_0_31,plain,
( class_Ring__and__Field_Oordered__idom(X1)
| t_b != X1 ),
inference(scs_inference,[],[i_0_5,i_0_9,i_0_8,i_0_6,i_0_17,i_0_18,i_0_7,i_0_16,i_0_19,i_0_20]) ).
cnf(i_0_32,plain,
~ c_lessequals(c_HOL_Oabs(v_f(v_x(X1)),t_b),c_times(X1,c_HOL_Oabs(v_f(v_x(X1)),t_b),t_b),t_b),
inference(equality_inference,[],[26]) ).
cnf(i_0_33,plain,
~ c_lessequals(c_HOL_Oabs(v_f(v_x(c_1)),t_b),c_times(c_1,c_HOL_Oabs(v_f(v_x(c_1)),t_b),t_b),t_b),
inference(equality_inference,[],[28]) ).
cnf(i_0_34,plain,
class_Orderings_Oorder(t_b),
inference(equality_inference,[],[30]) ).
cnf(i_0_35,plain,
class_Ring__and__Field_Oordered__idom(t_b),
inference(equality_inference,[],[31]) ).
cnf(i_0_36,plain,
$false,
inference(scs_inference,[],[i_0_9,i_0_25,i_0_7]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : ANA007-2 : TPTP v9.2.1. Released v3.2.0.
% 0.00/0.11 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.32 % Computer : n027.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Tue May 5 10:35:50 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.33 % start to proof: theBenchmark
% 0.24/1.61 % Version : CSE_E---1.7
% 0.24/1.61 % Problem : theBenchmark.p
% 0.24/1.61 % SZS status Unsatisfiable for theBenchmark.p
% 0.24/1.61 % SZS output start CNFRefutation
% See solution above
% 0.24/1.65 % Total time : 1.270s
%------------------------------------------------------------------------------