%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LAT277-2 : 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 : n011.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 0.26s 1.63s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 36)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_1,negated_conjecture,
~ c_in(c_Pair(v_x,v_x,t_a,t_a),v_r,tc_prod(t_a,t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_Relation_OreflD_0,axiom,
( c_in(c_Pair(X4,X4,X3,X3),X2,tc_prod(X3,X3))
| ~ c_Relation_Orefl(X1,X2,X3)
| ~ c_in(X4,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_OreflD_0) ).
cnf(cls_Tarski_OPartialOrder__iff_0,axiom,
( c_Relation_Orefl(c_Tarski_Opotype_Opset(X1,X2,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(X1,X2,tc_Product__Type_Ounit),X2)
| ~ c_in(X1,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_OPartialOrder__iff_0) ).
cnf(cls_Tarski_Ocl_A_58_APartialOrder_0,axiom,
c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Ocl_A_58_APartialOrder_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_in(v_x,v_A,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
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_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(i_0_7,negated_conjecture,
~ c_in(c_Pair(v_x,v_x,t_a,t_a),v_r,tc_prod(t_a,t_a)),
cls_conjecture_1,
[final] ).
cnf(i_0_8,axiom,
( c_in(c_Pair(X4,X4,X3,X3),X2,tc_prod(X3,X3))
| ~ c_Relation_Orefl(X1,X2,X3)
| ~ c_in(X4,X1,X3) ),
cls_Relation_OreflD_0,
[final] ).
cnf(i_0_9,axiom,
( c_Relation_Orefl(c_Tarski_Opotype_Opset(X1,X2,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(X1,X2,tc_Product__Type_Ounit),X2)
| ~ c_in(X1,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit)) ),
cls_Tarski_OPartialOrder__iff_0,
[final] ).
cnf(i_0_10,axiom,
c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
cls_Tarski_Ocl_A_58_APartialOrder_0,
[final] ).
cnf(i_0_11,negated_conjecture,
c_in(v_x,v_A,t_a),
cls_conjecture_0,
[final] ).
cnf(i_0_12,axiom,
v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),
cls_Tarski_Or_A_61_61_Aorder_Acl_0,
[final] ).
cnf(i_0_13,axiom,
v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),
cls_Tarski_OA_A_61_61_Apset_Acl_0,
[final] ).
cnf(i_0_14,axiom,
X1 = X1 ).
cnf(i_0_15,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_16,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_17,axiom,
( X1 != X2
| c_Tarski_Opotype_Opset(X1,X3,X4) = c_Tarski_Opotype_Opset(X2,X3,X4) ) ).
cnf(i_0_18,axiom,
( X1 != X2
| c_Tarski_Opotype_Opset(X3,X1,X4) = c_Tarski_Opotype_Opset(X3,X2,X4) ) ).
cnf(i_0_19,axiom,
( X1 != X2
| c_Tarski_Opotype_Opset(X3,X4,X1) = c_Tarski_Opotype_Opset(X3,X4,X2) ) ).
cnf(i_0_20,axiom,
( X1 != X2
| c_Tarski_Opotype_Oorder(X1,X3,X4) = c_Tarski_Opotype_Oorder(X2,X3,X4) ) ).
cnf(i_0_21,axiom,
( X1 != X2
| c_Tarski_Opotype_Oorder(X3,X1,X4) = c_Tarski_Opotype_Oorder(X3,X2,X4) ) ).
cnf(i_0_22,axiom,
( X1 != X2
| c_Tarski_Opotype_Oorder(X3,X4,X1) = c_Tarski_Opotype_Oorder(X3,X4,X2) ) ).
cnf(i_0_23,axiom,
( X1 != X2
| ~ c_in(X1,X3,X4)
| c_in(X2,X3,X4) ) ).
cnf(i_0_24,axiom,
( X1 != X2
| ~ c_in(X3,X1,X4)
| c_in(X3,X2,X4) ) ).
cnf(i_0_25,axiom,
( X1 != X2
| ~ c_in(X3,X4,X1)
| c_in(X3,X4,X2) ) ).
cnf(i_0_26,axiom,
( X1 != X2
| ~ c_Relation_Orefl(X1,X3,X4)
| c_Relation_Orefl(X2,X3,X4) ) ).
cnf(i_0_27,axiom,
( X1 != X2
| ~ c_Relation_Orefl(X3,X1,X4)
| c_Relation_Orefl(X3,X2,X4) ) ).
cnf(i_0_28,axiom,
( X1 != X2
| ~ c_Relation_Orefl(X3,X4,X1)
| c_Relation_Orefl(X3,X4,X2) ) ).
cnf(i_0_14_001,axiom,
X1 = X1 ).
cnf(i_0_15_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_16_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_17_004,axiom,
( X1 != X2
| c_Tarski_Opotype_Opset(X1,X3,X4) = c_Tarski_Opotype_Opset(X2,X3,X4) ) ).
cnf(i_0_18_005,axiom,
( X1 != X2
| c_Tarski_Opotype_Opset(X3,X1,X4) = c_Tarski_Opotype_Opset(X3,X2,X4) ) ).
cnf(i_0_19_006,axiom,
( X1 != X2
| c_Tarski_Opotype_Opset(X3,X4,X1) = c_Tarski_Opotype_Opset(X3,X4,X2) ) ).
cnf(i_0_20_007,axiom,
( X1 != X2
| c_Tarski_Opotype_Oorder(X1,X3,X4) = c_Tarski_Opotype_Oorder(X2,X3,X4) ) ).
cnf(i_0_21_008,axiom,
( X1 != X2
| c_Tarski_Opotype_Oorder(X3,X1,X4) = c_Tarski_Opotype_Oorder(X3,X2,X4) ) ).
cnf(i_0_22_009,axiom,
( X1 != X2
| c_Tarski_Opotype_Oorder(X3,X4,X1) = c_Tarski_Opotype_Oorder(X3,X4,X2) ) ).
cnf(i_0_23_010,axiom,
( X1 != X2
| ~ c_in(X1,X3,X4)
| c_in(X2,X3,X4) ) ).
cnf(i_0_24_011,axiom,
( X1 != X2
| ~ c_in(X3,X1,X4)
| c_in(X3,X2,X4) ) ).
cnf(i_0_25_012,axiom,
( X1 != X2
| ~ c_in(X3,X4,X1)
| c_in(X3,X4,X2) ) ).
cnf(i_0_26_013,axiom,
( X1 != X2
| ~ c_Relation_Orefl(X1,X3,X4)
| c_Relation_Orefl(X2,X3,X4) ) ).
cnf(i_0_27_014,axiom,
( X1 != X2
| ~ c_Relation_Orefl(X3,X1,X4)
| c_Relation_Orefl(X3,X2,X4) ) ).
cnf(i_0_28_015,axiom,
( X1 != X2
| ~ c_Relation_Orefl(X3,X4,X1)
| c_Relation_Orefl(X3,X4,X2) ) ).
cnf(i_0_29,plain,
c_Relation_Orefl(c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),t_a),
inference(scs_inference,[],[i_0_10,i_0_9]) ).
cnf(i_0_30,plain,
( ~ c_in(X1,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit))
| c_Relation_Orefl(c_Tarski_Opotype_Opset(X1,X2,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(X1,X2,tc_Product__Type_Ounit),X2) ),
inference(rename_variables,[],[i_0_9]) ).
cnf(i_0_31,plain,
c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit) = v_r,
inference(scs_inference,[],[i_0_10,i_0_12,i_0_9,i_0_15]) ).
cnf(i_0_32,plain,
~ c_Relation_Orefl(v_A,v_r,t_a),
inference(scs_inference,[],[i_0_7,i_0_11,i_0_10,i_0_12,i_0_9,i_0_15,i_0_8]) ).
cnf(i_0_33,plain,
( c_in(c_Pair(X1,X1,X2,X2),X3,tc_prod(X2,X2))
| ~ c_in(X1,X4,X2)
| ~ c_Relation_Orefl(X4,X3,X2) ),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_34,plain,
~ c_in(c_Pair(v_x,v_x,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)),
inference(scs_inference,[],[i_0_7,i_0_11,i_0_10,i_0_12,i_0_9,i_0_15,i_0_8,i_0_24]) ).
cnf(i_0_35,plain,
~ c_Relation_Orefl(v_A,c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),t_a),
inference(scs_inference,[],[i_0_7,i_0_11,i_0_10,i_0_12,i_0_9,i_0_15,i_0_8,i_0_24,i_0_27]) ).
cnf(i_0_36,plain,
( X1 != c_Pair(v_x,v_x,t_a,t_a)
| ~ c_in(X1,v_r,tc_prod(t_a,t_a)) ),
inference(scs_inference,[],[i_0_7,i_0_11,i_0_10,i_0_12,i_0_9,i_0_15,i_0_8,i_0_24,i_0_27,i_0_23]) ).
cnf(i_0_37,plain,
c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit) != v_A,
inference(scs_inference,[],[i_0_7,i_0_11,i_0_10,i_0_12,i_0_9,i_0_15,i_0_8,i_0_24,i_0_27,i_0_23,i_0_26]) ).
cnf(i_0_38,plain,
( X1 = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit)
| X1 != v_A ),
inference(scs_inference,[],[i_0_7,i_0_11,i_0_10,i_0_12,i_0_13,i_0_9,i_0_15,i_0_8,i_0_24,i_0_27,i_0_23,i_0_26,i_0_16]) ).
cnf(i_0_39,plain,
( X1 != tc_prod(t_a,t_a)
| ~ c_in(c_Pair(v_x,v_x,t_a,t_a),v_r,X1) ),
inference(scs_inference,[],[i_0_7,i_0_11,i_0_10,i_0_12,i_0_13,i_0_9,i_0_15,i_0_8,i_0_24,i_0_27,i_0_23,i_0_26,i_0_16,i_0_25]) ).
cnf(i_0_40,plain,
( X1 != t_a
| ~ c_Relation_Orefl(v_A,v_r,X1) ),
inference(scs_inference,[],[i_0_7,i_0_11,i_0_10,i_0_12,i_0_13,i_0_9,i_0_15,i_0_8,i_0_24,i_0_27,i_0_23,i_0_26,i_0_16,i_0_25,i_0_28]) ).
cnf(i_0_41,plain,
~ c_in(c_Pair(v_x,v_x,t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(equality_inference,[],[36]) ).
cnf(i_0_42,plain,
v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),
inference(equality_inference,[],[38]) ).
cnf(i_0_43,plain,
~ c_in(c_Pair(v_x,v_x,t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(equality_inference,[],[39]) ).
cnf(i_0_44,plain,
~ c_Relation_Orefl(v_A,v_r,t_a),
inference(equality_inference,[],[40]) ).
cnf(i_0_45,plain,
$false,
inference(scs_inference,[],[i_0_37,i_0_13,i_0_15]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : LAT277-2 : TPTP v9.2.1. Released v3.2.0.
% 0.11/0.13 % 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
% 0.15/0.34 % Computer : n011.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Mon May 4 20:58:47 EDT 2026
% 0.15/0.34 % CPUTime :
% 0.20/0.35 % start to proof: theBenchmark
% 0.26/1.63 % Version : CSE_E---1.7
% 0.26/1.63 % Problem : theBenchmark.p
% 0.26/1.63 % SZS status Unsatisfiable for theBenchmark.p
% 0.26/1.63 % SZS output start CNFRefutation
% See solution above
% 0.26/1.69 % Total time : 1.273s
%------------------------------------------------------------------------------