TSTP Solution File: SEU117+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU117+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n010.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 : 600s
% DateTime : Tue Jul 19 12:00:12 EDT 2022
% Result : Theorem 0.35s 1.41s
% Output : Proof 0.35s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU117+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n010.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jun 19 05:03:08 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.35/1.41 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.35/1.42 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.35/1.42
% 0.35/1.42 %-----------------------------------------------------
% 0.35/1.42 fof(t32_finsub_1, conjecture, ! [_50005, _50008] : (element(_50008, finite_subsets(_50005)) => element(_50008, powerset(_50005))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t32_finsub_1)).
% 0.35/1.42 fof(t2_subset, axiom, ! [_50183, _50186] : (element(_50183, _50186) => empty(_50186) | in(_50183, _50186)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t2_subset)).
% 0.35/1.42 fof(t5_subset, axiom, ! [_50350, _50353, _50356] : ~ (in(_50350, _50353) & element(_50353, powerset(_50356)) & empty(_50356)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t5_subset)).
% 0.35/1.42 fof(reflexivity_r1_tarski, axiom, ! [_50546, _50549] : subset(_50546, _50546), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', reflexivity_r1_tarski)).
% 0.35/1.42 fof(dt_k5_finsub_1, axiom, ! [_50666] : preboolean(finite_subsets(_50666)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', dt_k5_finsub_1)).
% 0.35/1.42 fof(fc2_finsub_1, axiom, ! [_50779] : (~ empty(finite_subsets(_50779)) & cup_closed(finite_subsets(_50779)) & diff_closed(finite_subsets(_50779)) & preboolean(finite_subsets(_50779))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', fc2_finsub_1)).
% 0.35/1.42 fof(t3_subset, axiom, ! [_51024, _51027] : (element(_51024, powerset(_51027)) <=> subset(_51024, _51027)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t3_subset)).
% 0.35/1.42 fof(d5_finsub_1, axiom, ! [_51181, _51184] : (preboolean(_51184) => (_51184 = finite_subsets(_51181) <=> ! [_51209] : (in(_51209, _51184) <=> subset(_51209, _51181) & finite(_51209)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d5_finsub_1)).
% 0.35/1.42
% 0.35/1.42 cnf(1, plain, [-(element(13 ^ [], finite_subsets(12 ^ [])))], clausify(t32_finsub_1)).
% 0.35/1.42 cnf(2, plain, [element(13 ^ [], powerset(12 ^ []))], clausify(t32_finsub_1)).
% 0.35/1.42 cnf(3, plain, [element(_23784, _23834), -(empty(_23834)), -(in(_23784, _23834))], clausify(t2_subset)).
% 0.35/1.42 cnf(4, plain, [in(_24157, _24216), element(_24216, powerset(_24274)), empty(_24274)], clausify(t5_subset)).
% 0.35/1.42 cnf(5, plain, [-(subset(_25266, _25266))], clausify(reflexivity_r1_tarski)).
% 0.35/1.42 cnf(6, plain, [-(preboolean(finite_subsets(_26045)))], clausify(dt_k5_finsub_1)).
% 0.35/1.42 cnf(7, plain, [empty(finite_subsets(_26631))], clausify(fc2_finsub_1)).
% 0.35/1.42 cnf(8, plain, [-(element(_31899, powerset(_31946))), subset(_31899, _31946)], clausify(t3_subset)).
% 0.35/1.42 cnf(9, plain, [preboolean(_33083), _33083 = finite_subsets(_33015), in(_33263, _33083), -(subset(_33263, _33015))], clausify(d5_finsub_1)).
% 0.35/1.42 cnf(10, plain, [-(_15208 = _15208)], theory(equality)).
% 0.35/1.42
% 0.35/1.42 cnf('1',plain,[in(13 ^ [], finite_subsets(12 ^ [])), element(finite_subsets(12 ^ []), powerset(finite_subsets(12 ^ []))), empty(finite_subsets(12 ^ []))],start(4,bind([[_24157, _24216, _24274], [13 ^ [], finite_subsets(12 ^ []), finite_subsets(12 ^ [])]]))).
% 0.35/1.42 cnf('1.1',plain,[-(in(13 ^ [], finite_subsets(12 ^ []))), element(13 ^ [], finite_subsets(12 ^ [])), -(empty(finite_subsets(12 ^ [])))],extension(3,bind([[_23784, _23834], [13 ^ [], finite_subsets(12 ^ [])]]))).
% 0.35/1.42 cnf('1.1.1',plain,[-(element(13 ^ [], finite_subsets(12 ^ [])))],extension(1)).
% 0.35/1.42 cnf('1.1.2',plain,[empty(finite_subsets(12 ^ []))],extension(7,bind([[_26631], [12 ^ []]]))).
% 0.35/1.42 cnf('1.2',plain,[-(element(finite_subsets(12 ^ []), powerset(finite_subsets(12 ^ [])))), subset(finite_subsets(12 ^ []), finite_subsets(12 ^ []))],extension(8,bind([[_31899, _31946], [finite_subsets(12 ^ []), finite_subsets(12 ^ [])]]))).
% 0.35/1.42 cnf('1.2.1',plain,[-(subset(finite_subsets(12 ^ []), finite_subsets(12 ^ [])))],extension(5,bind([[_25266], [finite_subsets(12 ^ [])]]))).
% 0.35/1.42 cnf('1.3',plain,[-(empty(finite_subsets(12 ^ []))), element(13 ^ [], finite_subsets(12 ^ [])), -(in(13 ^ [], finite_subsets(12 ^ [])))],extension(3,bind([[_23784, _23834], [13 ^ [], finite_subsets(12 ^ [])]]))).
% 0.35/1.42 cnf('1.3.1',plain,[-(element(13 ^ [], finite_subsets(12 ^ [])))],extension(1)).
% 0.35/1.42 cnf('1.3.2',plain,[in(13 ^ [], finite_subsets(12 ^ [])), preboolean(finite_subsets(12 ^ [])), finite_subsets(12 ^ []) = finite_subsets(12 ^ []), -(subset(13 ^ [], 12 ^ []))],extension(9,bind([[_33083, _33263, _33015], [finite_subsets(12 ^ []), 13 ^ [], 12 ^ []]]))).
% 0.35/1.42 cnf('1.3.2.1',plain,[-(preboolean(finite_subsets(12 ^ [])))],extension(6,bind([[_26045], [12 ^ []]]))).
% 0.35/1.42 cnf('1.3.2.2',plain,[-(finite_subsets(12 ^ []) = finite_subsets(12 ^ []))],extension(10,bind([[_15208], [finite_subsets(12 ^ [])]]))).
% 0.35/1.42 cnf('1.3.2.3',plain,[subset(13 ^ [], 12 ^ []), -(element(13 ^ [], powerset(12 ^ [])))],extension(8,bind([[_31899, _31946], [13 ^ [], 12 ^ []]]))).
% 0.35/1.42 cnf('1.3.2.3.1',plain,[element(13 ^ [], powerset(12 ^ []))],extension(2)).
% 0.35/1.42 %-----------------------------------------------------
% 0.35/1.43
% 0.35/1.43 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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