%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LAT281-2 : 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 : n026.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 04:37:53 PM UTC 2026
% Result : Unsatisfiable 0.25s 1.61s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 32)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Relation_Otrans__def_0,axiom,
( c_in(c_Pair(X5,X4,X2,X2),X1,tc_prod(X2,X2))
| ~ c_Relation_Otrans(X1,X2)
| ~ c_in(c_Pair(X3,X4,X2,X2),X1,tc_prod(X2,X2))
| ~ c_in(c_Pair(X5,X3,X2,X2),X1,tc_prod(X2,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_Otrans__def_0) ).
cnf(cls_conjecture_2,negated_conjecture,
~ c_in(c_Pair(v_a,v_c,t_a,t_a),v_r,tc_prod(t_a,t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_conjecture_1,negated_conjecture,
c_in(c_Pair(v_b,v_c,t_a,t_a),v_r,tc_prod(t_a,t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_0,negated_conjecture,
c_in(c_Pair(v_a,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_Tarski_OPartialOrder__iff_2,axiom,
( c_Relation_Otrans(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_2) ).
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_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(i_0_7,axiom,
( c_in(c_Pair(X5,X4,X2,X2),X1,tc_prod(X2,X2))
| ~ c_Relation_Otrans(X1,X2)
| ~ c_in(c_Pair(X3,X4,X2,X2),X1,tc_prod(X2,X2))
| ~ c_in(c_Pair(X5,X3,X2,X2),X1,tc_prod(X2,X2)) ),
cls_Relation_Otrans__def_0,
[final] ).
cnf(i_0_8,negated_conjecture,
~ c_in(c_Pair(v_a,v_c,t_a,t_a),v_r,tc_prod(t_a,t_a)),
cls_conjecture_2,
[final] ).
cnf(i_0_9,negated_conjecture,
c_in(c_Pair(v_b,v_c,t_a,t_a),v_r,tc_prod(t_a,t_a)),
cls_conjecture_1,
[final] ).
cnf(i_0_10,negated_conjecture,
c_in(c_Pair(v_a,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)),
cls_conjecture_0,
[final] ).
cnf(i_0_11,axiom,
( c_Relation_Otrans(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_2,
[final] ).
cnf(i_0_12,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_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,
[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_Oorder(X1,X3,X4) = c_Tarski_Opotype_Oorder(X2,X3,X4) ) ).
cnf(i_0_18,axiom,
( X1 != X2
| c_Tarski_Opotype_Oorder(X3,X1,X4) = c_Tarski_Opotype_Oorder(X3,X2,X4) ) ).
cnf(i_0_19,axiom,
( X1 != X2
| c_Tarski_Opotype_Oorder(X3,X4,X1) = c_Tarski_Opotype_Oorder(X3,X4,X2) ) ).
cnf(i_0_20,axiom,
( X1 != X2
| ~ c_in(X1,X3,X4)
| c_in(X2,X3,X4) ) ).
cnf(i_0_21,axiom,
( X1 != X2
| ~ c_in(X3,X1,X4)
| c_in(X3,X2,X4) ) ).
cnf(i_0_22,axiom,
( X1 != X2
| ~ c_in(X3,X4,X1)
| c_in(X3,X4,X2) ) ).
cnf(i_0_23,axiom,
( X1 != X2
| ~ c_Relation_Otrans(X1,X3)
| c_Relation_Otrans(X2,X3) ) ).
cnf(i_0_24,axiom,
( X1 != X2
| ~ c_Relation_Otrans(X3,X1)
| c_Relation_Otrans(X3,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_Oorder(X1,X3,X4) = c_Tarski_Opotype_Oorder(X2,X3,X4) ) ).
cnf(i_0_18_005,axiom,
( X1 != X2
| c_Tarski_Opotype_Oorder(X3,X1,X4) = c_Tarski_Opotype_Oorder(X3,X2,X4) ) ).
cnf(i_0_19_006,axiom,
( X1 != X2
| c_Tarski_Opotype_Oorder(X3,X4,X1) = c_Tarski_Opotype_Oorder(X3,X4,X2) ) ).
cnf(i_0_20_007,axiom,
( X1 != X2
| ~ c_in(X1,X3,X4)
| c_in(X2,X3,X4) ) ).
cnf(i_0_21_008,axiom,
( X1 != X2
| ~ c_in(X3,X1,X4)
| c_in(X3,X2,X4) ) ).
cnf(i_0_22_009,axiom,
( X1 != X2
| ~ c_in(X3,X4,X1)
| c_in(X3,X4,X2) ) ).
cnf(i_0_23_010,axiom,
( X1 != X2
| ~ c_Relation_Otrans(X1,X3)
| c_Relation_Otrans(X2,X3) ) ).
cnf(i_0_24_011,axiom,
( X1 != X2
| ~ c_Relation_Otrans(X3,X1)
| c_Relation_Otrans(X3,X2) ) ).
cnf(i_0_25,plain,
c_Relation_Otrans(c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),t_a),
inference(scs_inference,[],[i_0_12,i_0_11]) ).
cnf(i_0_26,plain,
( ~ c_in(X1,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit))
| c_Relation_Otrans(c_Tarski_Opotype_Oorder(X1,X2,tc_Product__Type_Ounit),X2) ),
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_27,plain,
c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit) = v_r,
inference(scs_inference,[],[i_0_12,i_0_13,i_0_11,i_0_15]) ).
cnf(i_0_28,plain,
c_Pair(v_a,v_b,t_a,t_a) != c_Pair(v_a,v_c,t_a,t_a),
inference(scs_inference,[],[i_0_8,i_0_10,i_0_12,i_0_13,i_0_11,i_0_15,i_0_20]) ).
cnf(i_0_29,plain,
~ c_in(c_Pair(v_a,v_c,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_8,i_0_10,i_0_12,i_0_13,i_0_11,i_0_15,i_0_20,i_0_21]) ).
cnf(i_0_30,plain,
~ c_Relation_Otrans(v_r,t_a),
inference(scs_inference,[],[i_0_8,i_0_10,i_0_9,i_0_12,i_0_13,i_0_11,i_0_15,i_0_20,i_0_21,i_0_7]) ).
cnf(i_0_31,plain,
( ~ c_in(c_Pair(X1,X2,X3,X3),X4,tc_prod(X3,X3))
| c_in(c_Pair(X1,X5,X3,X3),X4,tc_prod(X3,X3))
| ~ c_in(c_Pair(X2,X5,X3,X3),X4,tc_prod(X3,X3))
| ~ c_Relation_Otrans(X4,X3) ),
inference(rename_variables,[],[i_0_7]) ).
cnf(i_0_32,plain,
( X1 != tc_prod(t_a,t_a)
| ~ c_in(c_Pair(v_a,v_c,t_a,t_a),v_r,X1) ),
inference(scs_inference,[],[i_0_8,i_0_10,i_0_9,i_0_12,i_0_13,i_0_11,i_0_15,i_0_20,i_0_21,i_0_7,i_0_22]) ).
cnf(i_0_33,plain,
( X1 != t_a
| ~ c_Relation_Otrans(v_r,X1) ),
inference(scs_inference,[],[i_0_8,i_0_10,i_0_9,i_0_12,i_0_13,i_0_11,i_0_15,i_0_20,i_0_21,i_0_7,i_0_22,i_0_23,i_0_24]) ).
cnf(i_0_34,plain,
~ c_in(c_Pair(v_a,v_c,t_a,t_a),v_r,tc_prod(t_a,t_a)),
inference(equality_inference,[],[32]) ).
cnf(i_0_35,plain,
~ c_Relation_Otrans(v_r,t_a),
inference(equality_inference,[],[33]) ).
cnf(i_0_36,plain,
c_Pair(v_b,v_c,t_a,t_a) != c_Pair(v_a,v_c,t_a,t_a),
inference(scs_inference,[],[i_0_8,i_0_9,i_0_20]) ).
cnf(i_0_37,plain,
$false,
inference(scs_inference,[],[i_0_8,i_0_9,i_0_30,i_0_25,i_0_27,i_0_20,i_0_23]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT281-2 : 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
% 0.15/0.32 % Computer : n026.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Mon May 4 20:58:38 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 0.25/1.61 % Version : CSE_E---1.7
% 0.25/1.61 % Problem : theBenchmark.p
% 0.25/1.61 % SZS status Unsatisfiable for theBenchmark.p
% 0.25/1.61 % SZS output start CNFRefutation
% See solution above
% 0.25/1.66 % Total time : 1.272s
%------------------------------------------------------------------------------