TSTP Solution File: SET974+1 by leanCoP---2.2
View Problem
- Process Solution
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% File : leanCoP---2.2
% Problem : SET974+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n017.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 02:57:26 EDT 2022
% Result : Theorem 0.33s 1.41s
% Output : Proof 0.33s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET974+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.13/0.33 % Computer : n017.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun Jul 10 14:26:33 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.33/1.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.33/1.41 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.33/1.42
% 0.33/1.42 %-----------------------------------------------------
% 0.33/1.42 fof(t127_zfmisc_1, conjecture, ! [_26820, _26823, _26826, _26829] : (disjoint(_26820, _26823) | disjoint(_26826, _26829) => disjoint(cartesian_product2(_26820, _26826), cartesian_product2(_26823, _26829))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t127_zfmisc_1)).
% 0.33/1.42 fof(t104_zfmisc_1, axiom, ! [_27069, _27072, _27075, _27078, _27081] : ~ (in(_27069, set_intersection2(cartesian_product2(_27072, _27075), cartesian_product2(_27078, _27081))) & ! [_27122, _27125] : ~ (_27069 = ordered_pair(_27122, _27125) & in(_27122, set_intersection2(_27072, _27078)) & in(_27125, set_intersection2(_27075, _27081)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t104_zfmisc_1)).
% 0.33/1.42 fof(t4_xboole_0, axiom, ! [_27463, _27466] : (~ (~ disjoint(_27463, _27466) & ! [_27488] : ~ in(_27488, set_intersection2(_27463, _27466))) & ~ (? [_27488] : in(_27488, set_intersection2(_27463, _27466)) & disjoint(_27463, _27466))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t4_xboole_0)).
% 0.33/1.42
% 0.33/1.42 cnf(1, plain, [disjoint(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 9 ^ []))], clausify(t127_zfmisc_1)).
% 0.33/1.42 cnf(2, plain, [-(disjoint(6 ^ [], 7 ^ [])), -(disjoint(8 ^ [], 9 ^ []))], clausify(t127_zfmisc_1)).
% 0.33/1.42 cnf(3, plain, [in(_15392, set_intersection2(cartesian_product2(_15496, _15599), cartesian_product2(_15701, _15802))), -(in(3 ^ [_15802, _15701, _15599, _15496, _15392], set_intersection2(_15496, _15701)))], clausify(t104_zfmisc_1)).
% 0.33/1.42 cnf(4, plain, [in(_15392, set_intersection2(cartesian_product2(_15496, _15599), cartesian_product2(_15701, _15802))), -(in(4 ^ [_15802, _15701, _15599, _15496, _15392], set_intersection2(_15599, _15802)))], clausify(t104_zfmisc_1)).
% 0.33/1.42 cnf(5, plain, [-(disjoint(_16713, _16794)), -(in(5 ^ [_16794, _16713], set_intersection2(_16713, _16794)))], clausify(t4_xboole_0)).
% 0.33/1.42 cnf(6, plain, [in(_17165, set_intersection2(_16713, _16794)), disjoint(_16713, _16794)], clausify(t4_xboole_0)).
% 0.33/1.42
% 0.33/1.42 cnf('1',plain,[in(3 ^ [9 ^ [], 7 ^ [], 8 ^ [], 6 ^ [], 5 ^ [cartesian_product2(7 ^ [], 9 ^ []), cartesian_product2(6 ^ [], 8 ^ [])]], set_intersection2(6 ^ [], 7 ^ [])), disjoint(6 ^ [], 7 ^ [])],start(6,bind([[_17165, _16713, _16794], [3 ^ [9 ^ [], 7 ^ [], 8 ^ [], 6 ^ [], 5 ^ [cartesian_product2(7 ^ [], 9 ^ []), cartesian_product2(6 ^ [], 8 ^ [])]], 6 ^ [], 7 ^ []]]))).
% 0.33/1.42 cnf('1.1',plain,[-(in(3 ^ [9 ^ [], 7 ^ [], 8 ^ [], 6 ^ [], 5 ^ [cartesian_product2(7 ^ [], 9 ^ []), cartesian_product2(6 ^ [], 8 ^ [])]], set_intersection2(6 ^ [], 7 ^ []))), in(5 ^ [cartesian_product2(7 ^ [], 9 ^ []), cartesian_product2(6 ^ [], 8 ^ [])], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 9 ^ [])))],extension(3,bind([[_15392, _15496, _15599, _15701, _15802], [5 ^ [cartesian_product2(7 ^ [], 9 ^ []), cartesian_product2(6 ^ [], 8 ^ [])], 6 ^ [], 8 ^ [], 7 ^ [], 9 ^ []]]))).
% 0.33/1.42 cnf('1.1.1',plain,[-(in(5 ^ [cartesian_product2(7 ^ [], 9 ^ []), cartesian_product2(6 ^ [], 8 ^ [])], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 9 ^ [])))), -(disjoint(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 9 ^ [])))],extension(5,bind([[_16713, _16794], [cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 9 ^ [])]]))).
% 0.33/1.42 cnf('1.1.1.1',plain,[disjoint(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 9 ^ []))],extension(1)).
% 0.33/1.42 cnf('1.2',plain,[-(disjoint(6 ^ [], 7 ^ [])), -(disjoint(8 ^ [], 9 ^ []))],extension(2)).
% 0.33/1.42 cnf('1.2.1',plain,[disjoint(8 ^ [], 9 ^ []), in(4 ^ [9 ^ [], 7 ^ [], 8 ^ [], 6 ^ [], 5 ^ [cartesian_product2(7 ^ [], 9 ^ []), cartesian_product2(6 ^ [], 8 ^ [])]], set_intersection2(8 ^ [], 9 ^ []))],extension(6,bind([[_17165, _16713, _16794], [4 ^ [9 ^ [], 7 ^ [], 8 ^ [], 6 ^ [], 5 ^ [cartesian_product2(7 ^ [], 9 ^ []), cartesian_product2(6 ^ [], 8 ^ [])]], 8 ^ [], 9 ^ []]]))).
% 0.33/1.42 cnf('1.2.1.1',plain,[-(in(4 ^ [9 ^ [], 7 ^ [], 8 ^ [], 6 ^ [], 5 ^ [cartesian_product2(7 ^ [], 9 ^ []), cartesian_product2(6 ^ [], 8 ^ [])]], set_intersection2(8 ^ [], 9 ^ []))), in(5 ^ [cartesian_product2(7 ^ [], 9 ^ []), cartesian_product2(6 ^ [], 8 ^ [])], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 9 ^ [])))],extension(4,bind([[_15392, _15496, _15599, _15701, _15802], [5 ^ [cartesian_product2(7 ^ [], 9 ^ []), cartesian_product2(6 ^ [], 8 ^ [])], 6 ^ [], 8 ^ [], 7 ^ [], 9 ^ []]]))).
% 0.33/1.42 cnf('1.2.1.1.1',plain,[-(in(5 ^ [cartesian_product2(7 ^ [], 9 ^ []), cartesian_product2(6 ^ [], 8 ^ [])], set_intersection2(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 9 ^ [])))), -(disjoint(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 9 ^ [])))],extension(5,bind([[_16713, _16794], [cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 9 ^ [])]]))).
% 0.33/1.42 cnf('1.2.1.1.1.1',plain,[disjoint(cartesian_product2(6 ^ [], 8 ^ []), cartesian_product2(7 ^ [], 9 ^ []))],extension(1)).
% 0.33/1.42 %-----------------------------------------------------
% 0.33/1.42
% 0.33/1.43 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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