%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : ANA037-2 : TPTP v9.2.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n002.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 04:09:22 PM UTC 2026
% Result : Unsatisfiable 0.26s 1.62s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 10
% Syntax : Number of clauses : 35 ( 15 unt; 0 nHn; 33 RR)
% Number of literals : 71 ( 0 equ; 40 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 48 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_8,negated_conjecture,
~ c_lessequals(c_HOL_Oabs(v_a(v_xa),t_b),c_times(c_Orderings_Omax(v_c,v_ca,t_b),v_f(v_xa),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_8) ).
cnf(cls_Ring__and__Field_Opordered__semiring__class_Omult__right__mono_0,axiom,
( c_lessequals(c_times(X2,X4,X1),c_times(X3,X4,X1),X1)
| ~ class_Ring__and__Field_Opordered__semiring(X1)
| ~ c_lessequals(X2,X3,X1)
| ~ c_lessequals(c_0,X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Ring__and__Field_Opordered__semiring__class_Omult__right__mono_0) ).
cnf(cls_Orderings_Oorder__class_Oorder__trans_0,axiom,
( c_lessequals(X4,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1)
| ~ c_lessequals(X4,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oorder__trans_0) ).
cnf(cls_conjecture_4,negated_conjecture,
c_lessequals(c_HOL_Oabs(v_a(v_xa),t_b),c_times(v_c,v_f(v_xa),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(cls_Orderings_Ole__maxI1_0,axiom,
( c_lessequals(X2,c_Orderings_Omax(X2,X3,X1),X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Ole__maxI1_0) ).
cnf(cls_conjecture_2,negated_conjecture,
c_lessequals(c_0,v_f(v_xa),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_42,axiom,
( class_Ring__and__Field_Opordered__semiring(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_42) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_44,axiom,
( class_Orderings_Oorder(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_44) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_33,axiom,
( class_Orderings_Olinorder(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_33) ).
cnf(tfree_tcs,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
cnf(i_0_10,negated_conjecture,
~ c_lessequals(c_HOL_Oabs(v_a(v_xa),t_b),c_times(c_Orderings_Omax(v_c,v_ca,t_b),v_f(v_xa),t_b),t_b),
cls_conjecture_8,
[final] ).
cnf(i_0_11,axiom,
( c_lessequals(c_times(X2,X4,X1),c_times(X3,X4,X1),X1)
| ~ class_Ring__and__Field_Opordered__semiring(X1)
| ~ c_lessequals(X2,X3,X1)
| ~ c_lessequals(c_0,X4,X1) ),
cls_Ring__and__Field_Opordered__semiring__class_Omult__right__mono_0,
[final] ).
cnf(i_0_12,axiom,
( c_lessequals(X4,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1)
| ~ c_lessequals(X4,X2,X1) ),
cls_Orderings_Oorder__class_Oorder__trans_0,
[final] ).
cnf(i_0_13,negated_conjecture,
c_lessequals(c_HOL_Oabs(v_a(v_xa),t_b),c_times(v_c,v_f(v_xa),t_b),t_b),
cls_conjecture_4,
[final] ).
cnf(i_0_14,axiom,
( c_lessequals(X2,c_Orderings_Omax(X2,X3,X1),X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_Orderings_Ole__maxI1_0,
[final] ).
cnf(i_0_15,negated_conjecture,
c_lessequals(c_0,v_f(v_xa),t_b),
cls_conjecture_2,
[final] ).
cnf(i_0_16,axiom,
( class_Ring__and__Field_Opordered__semiring(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
clsrel_Ring__and__Field_Oordered__idom_42,
[final] ).
cnf(i_0_17,axiom,
( class_Orderings_Oorder(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
clsrel_Ring__and__Field_Oordered__idom_44,
[final] ).
cnf(i_0_18,axiom,
( class_Orderings_Olinorder(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
clsrel_Ring__and__Field_Oordered__idom_33,
[final] ).
cnf(i_0_19,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
tfree_tcs,
[final] ).
cnf(i_0_20,plain,
class_Ring__and__Field_Opordered__semiring(t_b),
inference(scs_inference,[],[i_0_19,i_0_16]) ).
cnf(i_0_21,plain,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Ring__and__Field_Opordered__semiring(X1) ),
inference(rename_variables,[],[i_0_16]) ).
cnf(i_0_22,plain,
class_Orderings_Oorder(t_b),
inference(scs_inference,[],[i_0_19,i_0_16,i_0_17]) ).
cnf(i_0_23,plain,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Orderings_Oorder(X1) ),
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_24,plain,
class_Orderings_Olinorder(t_b),
inference(scs_inference,[],[i_0_19,i_0_16,i_0_17,i_0_18]) ).
cnf(i_0_25,plain,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Orderings_Olinorder(X1) ),
inference(rename_variables,[],[i_0_18]) ).
cnf(i_0_26,plain,
c_lessequals(c_times(c_0,v_f(v_xa),t_b),c_times(v_f(v_xa),v_f(v_xa),t_b),t_b),
inference(scs_inference,[],[i_0_19,i_0_15,i_0_16,i_0_17,i_0_18,i_0_11]) ).
cnf(i_0_27,plain,
( ~ c_lessequals(c_0,X1,X2)
| c_lessequals(c_times(X3,X1,X2),c_times(X4,X1,X2),X2)
| ~ class_Ring__and__Field_Opordered__semiring(X2)
| ~ c_lessequals(X3,X4,X2) ),
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_28,plain,
( c_lessequals(c_0,X1,t_b)
| ~ c_lessequals(v_f(v_xa),X1,t_b) ),
inference(scs_inference,[],[i_0_19,i_0_15,i_0_16,i_0_17,i_0_18,i_0_11,i_0_12]) ).
cnf(i_0_29,plain,
( ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1)
| c_lessequals(X2,X4,X1)
| ~ c_lessequals(X3,X4,X1) ),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_30,plain,
~ c_lessequals(c_times(v_c,v_f(v_xa),t_b),c_times(c_Orderings_Omax(v_c,v_ca,t_b),v_f(v_xa),t_b),t_b),
inference(scs_inference,[],[i_0_10,i_0_13,i_0_22,i_0_12]) ).
cnf(i_0_31,plain,
( ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1)
| c_lessequals(X2,X4,X1)
| ~ c_lessequals(X3,X4,X1) ),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_32,plain,
~ c_lessequals(v_c,c_Orderings_Omax(v_c,v_ca,t_b),t_b),
inference(scs_inference,[],[i_0_10,i_0_13,i_0_15,i_0_20,i_0_22,i_0_12,i_0_11]) ).
cnf(i_0_33,plain,
( ~ c_lessequals(c_0,X1,X2)
| c_lessequals(c_times(X3,X1,X2),c_times(X4,X1,X2),X2)
| ~ class_Ring__and__Field_Opordered__semiring(X2)
| ~ c_lessequals(X3,X4,X2) ),
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_34,plain,
$false,
inference(scs_inference,[],[i_0_10,i_0_13,i_0_15,i_0_20,i_0_22,i_0_24,i_0_12,i_0_11,i_0_14]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ANA037-2 : TPTP v9.2.1. Released v3.2.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n002.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 10:37:16 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 0.26/1.62 % Version : CSE_E---1.7
% 0.26/1.62 % Problem : theBenchmark.p
% 0.26/1.62 % SZS status Unsatisfiable for theBenchmark.p
% 0.26/1.62 % SZS output start CNFRefutation
% See solution above
% 0.26/1.66 % Total time : 1.271s
%------------------------------------------------------------------------------