%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LAT276-2 : 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 : 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 : Tue May 5 04:37:52 PM UTC 2026
% Result : Unsatisfiable 1.24s 1.71s
% Output : CNFRefutation 1.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of clauses : 43 ( 10 unt; 11 nHn; 43 RR)
% Number of literals : 99 ( 4 equ; 51 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-4 aty)
% Number of variables : 31 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_10,negated_conjecture,
( c_in(c_Pair(X1,v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
| ~ c_in(X1,v_S,t_a)
| ~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_10) ).
cnf(cls_Tarski_Or_A_61_61_Aorder_Acl_0,axiom,
v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Or_A_61_61_Aorder_Acl_0) ).
cnf(cls_conjecture_9,negated_conjecture,
( c_in(c_Pair(X1,v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
| c_in(v_xa,v_S,t_a)
| ~ c_in(X1,v_S,t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_9) ).
cnf(cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AL1_A_58_AA_59_AALL_Ax_58S1_O_A_Ix_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ilub_AS1_Acl_M_AL1_J_A_58_Ar_A_61_61_ATrue_0,axiom,
( c_in(c_Pair(c_Tarski_Olub(X2,v_cl,t_a),X1,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mP(X1,X2,v_r),X2,t_a)
| ~ c_in(X1,v_A,t_a)
| ~ c_lessequals(X2,v_A,tc_set(t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AL1_A_58_AA_59_AALL_Ax_58S1_O_A_Ix_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ilub_AS1_Acl_M_AL1_J_A_58_Ar_A_61_61_ATrue_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_lessequals(v_S,v_A,tc_set(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_Set_OsubsetD_0,axiom,
( c_in(X1,X4,X3)
| ~ c_in(X1,X2,X3)
| ~ c_lessequals(X2,X4,tc_set(X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).
cnf(cls_Tarski_O_91_124_AS1_A_60_61_AA_59_Ax1_A_58_AS1_A_124_93_A_61_61_62_A_Ix1_M_Alub_AS1_Acl_J_A_58_Ar_A_61_61_ATrue_0,axiom,
( c_in(c_Pair(X1,c_Tarski_Olub(X2,v_cl,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(X1,X2,t_a)
| ~ c_lessequals(X2,v_A,tc_set(t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_O_91_124_AS1_A_60_61_AA_59_Ax1_A_58_AS1_A_124_93_A_61_61_62_A_Ix1_M_Alub_AS1_Acl_J_A_58_Ar_A_61_61_ATrue_0) ).
cnf(cls_conjecture_3,negated_conjecture,
( c_in(v_xa,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),t_a)
| c_in(v_xa,v_S,t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_Tarski_OA_A_61_61_Apset_Acl_0,axiom,
v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_OA_A_61_61_Apset_Acl_0) ).
cnf(cls_conjecture_4,negated_conjecture,
( c_in(v_xa,v_S,t_a)
| ~ c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AL1_A_58_AA_59_AALL_Ax_58S1_O_A_Ix_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ilub_AS1_Acl_M_AL1_J_A_58_Ar_A_61_61_ATrue_1,axiom,
( c_in(c_Pair(c_Tarski_Olub(X2,v_cl,t_a),X1,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(X1,v_A,t_a)
| ~ c_in(c_Pair(v_sko__4mP(X1,X2,v_r),X1,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_lessequals(X2,v_A,tc_set(t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AL1_A_58_AA_59_AALL_Ax_58S1_O_A_Ix_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ilub_AS1_Acl_M_AL1_J_A_58_Ar_A_61_61_ATrue_1) ).
cnf(cls_conjecture_6,negated_conjecture,
( ~ c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
cnf(c_0_12,negated_conjecture,
( c_in(c_Pair(X1,v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
| ~ c_in(X1,v_S,t_a)
| ~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)) ),
cls_conjecture_10 ).
cnf(c_0_13,axiom,
v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),
cls_Tarski_Or_A_61_61_Aorder_Acl_0 ).
cnf(c_0_14,negated_conjecture,
( c_in(c_Pair(X1,v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
| c_in(v_xa,v_S,t_a)
| ~ c_in(X1,v_S,t_a) ),
cls_conjecture_9 ).
cnf(c_0_15,axiom,
( c_in(c_Pair(c_Tarski_Olub(X2,v_cl,t_a),X1,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mP(X1,X2,v_r),X2,t_a)
| ~ c_in(X1,v_A,t_a)
| ~ c_lessequals(X2,v_A,tc_set(t_a)) ),
cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AL1_A_58_AA_59_AALL_Ax_58S1_O_A_Ix_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ilub_AS1_Acl_M_AL1_J_A_58_Ar_A_61_61_ATrue_0 ).
cnf(c_0_16,negated_conjecture,
c_lessequals(v_S,v_A,tc_set(t_a)),
cls_conjecture_0 ).
cnf(c_0_17,axiom,
( c_in(X1,X4,X3)
| ~ c_in(X1,X2,X3)
| ~ c_lessequals(X2,X4,tc_set(X3)) ),
cls_Set_OsubsetD_0 ).
cnf(c_0_18,negated_conjecture,
( c_in(c_Pair(X1,v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(X1,v_S,t_a) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13]),c_0_13]) ).
cnf(c_0_19,axiom,
( c_in(c_Pair(X1,c_Tarski_Olub(X2,v_cl,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(X1,X2,t_a)
| ~ c_lessequals(X2,v_A,tc_set(t_a)) ),
cls_Tarski_O_91_124_AS1_A_60_61_AA_59_Ax1_A_58_AS1_A_124_93_A_61_61_62_A_Ix1_M_Alub_AS1_Acl_J_A_58_Ar_A_61_61_ATrue_0 ).
cnf(c_0_20,negated_conjecture,
( c_in(c_Pair(X1,v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_xa,v_S,t_a)
| ~ c_in(X1,v_S,t_a) ),
inference(rw,[status(thm)],[c_0_14,c_0_13]) ).
cnf(c_0_21,negated_conjecture,
( c_in(v_xa,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),t_a)
| c_in(v_xa,v_S,t_a) ),
cls_conjecture_3 ).
cnf(c_0_22,axiom,
v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),
cls_Tarski_OA_A_61_61_Apset_Acl_0 ).
cnf(c_0_23,negated_conjecture,
( c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),X1,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mP(X1,v_S,v_r),v_S,t_a)
| ~ c_in(X1,v_A,t_a) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_24,negated_conjecture,
( c_in(X1,v_A,t_a)
| ~ c_in(X1,v_S,t_a) ),
inference(spm,[status(thm)],[c_0_17,c_0_16]) ).
cnf(c_0_25,negated_conjecture,
( c_in(v_xa,v_S,t_a)
| ~ c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)) ),
cls_conjecture_4 ).
cnf(c_0_26,axiom,
( c_in(c_Pair(c_Tarski_Olub(X2,v_cl,t_a),X1,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(X1,v_A,t_a)
| ~ c_in(c_Pair(v_sko__4mP(X1,X2,v_r),X1,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_lessequals(X2,v_A,tc_set(t_a)) ),
cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AL1_A_58_AA_59_AALL_Ax_58S1_O_A_Ix_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ilub_AS1_Acl_M_AL1_J_A_58_Ar_A_61_61_ATrue_1 ).
cnf(c_0_27,negated_conjecture,
( c_in(c_Pair(X1,v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(X1,v_S,t_a) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_16])]),c_0_20]) ).
cnf(c_0_28,negated_conjecture,
( ~ c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))
| ~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)) ),
cls_conjecture_6 ).
cnf(c_0_29,negated_conjecture,
( c_in(v_xa,v_A,t_a)
| c_in(v_xa,v_S,t_a) ),
inference(rw,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_30,negated_conjecture,
( c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),X1,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mP(X1,v_S,v_r),v_S,t_a)
| ~ c_in(X1,v_S,t_a) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_31,negated_conjecture,
( c_in(v_xa,v_S,t_a)
| ~ c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(rw,[status(thm)],[c_0_25,c_0_13]) ).
cnf(c_0_32,negated_conjecture,
( c_in(c_Pair(c_Tarski_Olub(X1,v_cl,t_a),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(v_sko__4mP(v_xa,X1,v_r),v_S,t_a)
| ~ c_in(v_xa,v_A,t_a)
| ~ c_lessequals(X1,v_A,tc_set(t_a)) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_33,negated_conjecture,
( ~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_13]),c_0_13]) ).
cnf(c_0_34,negated_conjecture,
( c_in(c_Pair(c_Tarski_Olub(v_S,v_cl,t_a),v_xa,t_a,t_a),v_r,tc_prod(t_a,t_a))
| c_in(v_sko__4mP(v_xa,v_S,v_r),v_S,t_a) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_29]),c_0_30]) ).
cnf(c_0_35,negated_conjecture,
( c_in(v_xa,v_S,t_a)
| ~ c_in(v_sko__4mP(v_xa,v_S,v_r),v_S,t_a) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_16])]),c_0_29]) ).
cnf(c_0_36,negated_conjecture,
( ~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a))
| ~ c_in(v_sko__4mP(v_xa,v_S,v_r),v_S,t_a)
| ~ c_in(v_xa,v_A,t_a) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_32]),c_0_16])]) ).
cnf(c_0_37,negated_conjecture,
( c_in(v_sko__4mP(v_xa,v_S,v_r),v_S,t_a)
| ~ c_in(c_Pair(v_xa,c_Tarski_Olub(v_S,v_cl,t_a),t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_38,negated_conjecture,
c_in(v_xa,v_S,t_a),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_34]),c_0_35]) ).
cnf(c_0_39,negated_conjecture,
( ~ c_in(v_sko__4mP(v_xa,v_S,v_r),v_S,t_a)
| ~ c_in(v_xa,v_A,t_a) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_19]),c_0_16])]),c_0_35]) ).
cnf(c_0_40,negated_conjecture,
c_in(v_sko__4mP(v_xa,v_S,v_r),v_S,t_a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_19]),c_0_38]),c_0_16])]) ).
cnf(c_0_41,negated_conjecture,
~ c_in(v_xa,v_A,t_a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_40])]) ).
cnf(c_0_42,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_24]),c_0_38])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT276-2 : TPTP v9.2.1. Released v3.2.0.
% 0.00/0.12 % 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
% 0.16/0.32 % Computer : n009.cluster.edu
% 0.16/0.32 % Model : x86_64 x86_64
% 0.16/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.32 % Memory : 8042.1875MB
% 0.16/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.32 % CPULimit : 300
% 0.16/0.32 % WCLimit : 300
% 0.16/0.32 % DateTime : Mon May 4 20:56:26 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 1.24/1.71 % Version : CSE_E---1.7
% 1.24/1.71 % Problem : theBenchmark.p
% 1.24/1.71 % SZS status Unsatisfiable for theBenchmark.p
% 1.24/1.71 % SZS output start CNFRefutation
% See solution above
% 1.24/1.71 % Total time : 1.371s
%------------------------------------------------------------------------------