%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LAT262-2 : 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 : n022.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 04:37:47 PM UTC 2026
% Result : Unsatisfiable 0.26s 1.62s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 18)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_1,negated_conjecture,
~ c_lessequals(v_S,c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_set(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_0,negated_conjecture,
c_lessequals(v_S,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),tc_set(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_Tarski_Opset_A_Idual_Acl_J_A_61_61_Apset_Acl_0,axiom,
c_Tarski_Opotype_Opset(c_Tarski_Odual(X1,X2),X2,tc_Product__Type_Ounit) = c_Tarski_Opotype_Opset(X1,X2,tc_Product__Type_Ounit),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Opset_A_Idual_Acl_J_A_61_61_Apset_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_4,negated_conjecture,
~ c_lessequals(v_S,c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_set(t_a)),
cls_conjecture_1,
[final] ).
cnf(i_0_5,negated_conjecture,
c_lessequals(v_S,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),tc_set(t_a)),
cls_conjecture_0,
[final] ).
cnf(i_0_6,axiom,
c_Tarski_Opotype_Opset(c_Tarski_Odual(X1,X2),X2,tc_Product__Type_Ounit) = c_Tarski_Opotype_Opset(X1,X2,tc_Product__Type_Ounit),
cls_Tarski_Opset_A_Idual_Acl_J_A_61_61_Apset_Acl_0,
[final] ).
cnf(i_0_7,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_8,axiom,
X1 = X1 ).
cnf(i_0_9,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_10,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_11,axiom,
( X1 != X2
| c_Tarski_Opotype_Opset(X1,X3,X4) = c_Tarski_Opotype_Opset(X2,X3,X4) ) ).
cnf(i_0_12,axiom,
( X1 != X2
| c_Tarski_Opotype_Opset(X3,X1,X4) = c_Tarski_Opotype_Opset(X3,X2,X4) ) ).
cnf(i_0_13,axiom,
( X1 != X2
| c_Tarski_Opotype_Opset(X3,X4,X1) = c_Tarski_Opotype_Opset(X3,X4,X2) ) ).
cnf(i_0_14,axiom,
( X1 != X2
| ~ c_lessequals(X1,X3,X4)
| c_lessequals(X2,X3,X4) ) ).
cnf(i_0_15,axiom,
( X1 != X2
| ~ c_lessequals(X3,X1,X4)
| c_lessequals(X3,X2,X4) ) ).
cnf(i_0_16,axiom,
( X1 != X2
| ~ c_lessequals(X3,X4,X1)
| c_lessequals(X3,X4,X2) ) ).
cnf(i_0_8_001,axiom,
X1 = X1 ).
cnf(i_0_9_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_10_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_11_004,axiom,
( X1 != X2
| c_Tarski_Opotype_Opset(X1,X3,X4) = c_Tarski_Opotype_Opset(X2,X3,X4) ) ).
cnf(i_0_12_005,axiom,
( X1 != X2
| c_Tarski_Opotype_Opset(X3,X1,X4) = c_Tarski_Opotype_Opset(X3,X2,X4) ) ).
cnf(i_0_13_006,axiom,
( X1 != X2
| c_Tarski_Opotype_Opset(X3,X4,X1) = c_Tarski_Opotype_Opset(X3,X4,X2) ) ).
cnf(i_0_14_007,axiom,
( X1 != X2
| ~ c_lessequals(X1,X3,X4)
| c_lessequals(X2,X3,X4) ) ).
cnf(i_0_15_008,axiom,
( X1 != X2
| ~ c_lessequals(X3,X1,X4)
| c_lessequals(X3,X2,X4) ) ).
cnf(i_0_16_009,axiom,
( X1 != X2
| ~ c_lessequals(X3,X4,X1)
| c_lessequals(X3,X4,X2) ) ).
cnf(i_0_17,plain,
c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit) = v_A,
inference(scs_inference,[],[i_0_7,i_0_9]) ).
cnf(i_0_18,plain,
( X1 != v_S
| ~ c_lessequals(X1,c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_set(t_a)) ),
inference(scs_inference,[],[i_0_4,i_0_7,i_0_9,i_0_14]) ).
cnf(i_0_19,plain,
( X1 = c_Tarski_Opotype_Opset(X2,X3,tc_Product__Type_Ounit)
| X1 != c_Tarski_Opotype_Opset(c_Tarski_Odual(X2,X3),X3,tc_Product__Type_Ounit) ),
inference(scs_inference,[],[i_0_4,i_0_7,i_0_6,i_0_9,i_0_14,i_0_10]) ).
cnf(i_0_20,plain,
( X1 != tc_set(t_a)
| ~ c_lessequals(v_S,c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),X1) ),
inference(scs_inference,[],[i_0_4,i_0_7,i_0_6,i_0_9,i_0_14,i_0_10,i_0_16]) ).
cnf(i_0_21,plain,
~ c_lessequals(v_S,c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_set(t_a)),
inference(equality_inference,[],[18]) ).
cnf(i_0_22,plain,
c_Tarski_Opotype_Opset(c_Tarski_Odual(X1,X2),X2,tc_Product__Type_Ounit) = c_Tarski_Opotype_Opset(X1,X2,tc_Product__Type_Ounit),
inference(equality_inference,[],[19]) ).
cnf(i_0_23,plain,
~ c_lessequals(v_S,c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_set(t_a)),
inference(equality_inference,[],[20]) ).
cnf(i_0_24,plain,
c_Tarski_Opotype_Opset(X1,X2,tc_Product__Type_Ounit) = c_Tarski_Opotype_Opset(c_Tarski_Odual(X1,X2),X2,tc_Product__Type_Ounit),
inference(scs_inference,[],[i_0_6,i_0_9]) ).
cnf(i_0_25,plain,
v_A = c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),
inference(scs_inference,[],[i_0_7,i_0_6,i_0_9,i_0_10]) ).
cnf(i_0_26,plain,
$false,
inference(scs_inference,[],[i_0_4,i_0_5,i_0_7,i_0_6,i_0_9,i_0_10,i_0_15]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT262-2 : 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
% 0.15/0.33 % Computer : n022.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 : Mon May 4 20:56:21 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
% 0.26/1.65 % Total time : 1.271s
%------------------------------------------------------------------------------