TSTP Solution File: SEU141+2 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SEU141+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n012.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 14:34:17 EDT 2022
% Result : Theorem 8.00s 8.21s
% Output : Refutation 8.00s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU141+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.14/0.34 % Computer : n012.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sun Jun 19 01:56:08 EDT 2022
% 0.14/0.34 % CPUTime :
% 8.00/8.21
% 8.00/8.21 SPASS V 3.9
% 8.00/8.21 SPASS beiseite: Proof found.
% 8.00/8.21 % SZS status Theorem
% 8.00/8.21 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.00/8.21 SPASS derived 28114 clauses, backtracked 5898 clauses, performed 1 splits and kept 5036 clauses.
% 8.00/8.21 SPASS allocated 117734 KBytes.
% 8.00/8.21 SPASS spent 0:00:07.47 on the problem.
% 8.00/8.21 0:00:00.03 for the input.
% 8.00/8.21 0:00:00.07 for the FLOTTER CNF translation.
% 8.00/8.21 0:00:00.20 for inferences.
% 8.00/8.21 0:00:00.13 for the backtracking.
% 8.00/8.21 0:00:06.94 for the reduction.
% 8.00/8.21
% 8.00/8.21
% 8.00/8.21 Here is a proof with depth 5, length 66 :
% 8.00/8.21 % SZS output start Refutation
% 8.00/8.21 2[0:Inp] || -> empty(skc26)*.
% 8.00/8.21 4[0:Inp] || -> subset(u,u)*.
% 8.00/8.21 10[0:Inp] || -> equal(set_union2(u,empty_set),u)**.
% 8.00/8.21 12[0:Inp] || -> subset(set_difference(u,v),u)*l.
% 8.00/8.21 13[0:Inp] || -> equal(set_difference(u,empty_set),u)**.
% 8.00/8.21 14[0:Inp] || -> equal(set_difference(empty_set,u),empty_set)**.
% 8.00/8.21 15[0:Inp] || -> subset(u,set_union2(u,v))*r.
% 8.00/8.21 17[0:Inp] empty(u) || -> equal(u,empty_set)*.
% 8.00/8.21 18[0:Inp] || -> equal(set_union2(u,v),set_union2(v,u))*.
% 8.00/8.21 19[0:Inp] || -> equal(set_intersection2(u,v),set_intersection2(v,u))*.
% 8.00/8.21 26[0:Inp] || disjoint(u,v)*+ -> disjoint(v,u)*.
% 8.00/8.21 29[0:Inp] || -> disjoint(skc4,skc5) equal(set_difference(skc4,skc5),skc4)**.
% 8.00/8.21 38[0:Inp] || disjoint(u,v) -> equal(set_intersection2(u,v),empty_set)**.
% 8.00/8.21 39[0:Inp] || equal(set_intersection2(u,v),empty_set)** -> disjoint(u,v).
% 8.00/8.21 46[0:Inp] || -> equal(set_union2(u,set_difference(v,u)),set_union2(u,v))**.
% 8.00/8.21 47[0:Inp] || -> equal(set_difference(set_union2(u,v),v),set_difference(u,v))**.
% 8.00/8.21 48[0:Inp] || -> equal(set_difference(u,set_difference(u,v)),set_intersection2(u,v))**.
% 8.00/8.21 50[0:Inp] || disjoint(skc4,skc5) equal(set_difference(skc4,skc5),skc4)** -> .
% 8.00/8.21 54[0:Inp] || subset(u,v)*+ subset(v,u)* -> equal(v,u).
% 8.00/8.21 69[0:Inp] || subset(u,v)*+ subset(w,v)* -> subset(set_union2(w,u),v)*.
% 8.00/8.21 96[0:EmS:17.0,2.0] || -> equal(empty_set,skc26)**.
% 8.00/8.21 98[0:Rew:96.0,14.0] || -> equal(set_difference(skc26,u),skc26)**.
% 8.00/8.21 100[0:Rew:96.0,13.0] || -> equal(set_difference(u,skc26),u)**.
% 8.00/8.21 101[0:Rew:96.0,10.0] || -> equal(set_union2(u,skc26),u)**.
% 8.00/8.21 105[0:Rew:96.0,38.1] || disjoint(u,v) -> equal(set_intersection2(u,v),skc26)**.
% 8.00/8.21 106[0:Rew:96.0,39.0] || equal(set_intersection2(u,v),skc26)** -> disjoint(u,v).
% 8.00/8.21 141[0:SpR:18.0,101.0] || -> equal(set_union2(skc26,u),u)**.
% 8.00/8.21 159[1:Spt:29.0] || -> disjoint(skc4,skc5)*.
% 8.00/8.21 160[1:MRR:50.0,159.0] || equal(set_difference(skc4,skc5),skc4)** -> .
% 8.00/8.21 161[1:Res:159.0,26.0] || -> disjoint(skc5,skc4)*.
% 8.00/8.21 191[0:SpR:105.1,19.0] || disjoint(u,v) -> equal(set_intersection2(v,u),skc26)**.
% 8.00/8.21 205[0:SpL:19.0,106.0] || equal(set_intersection2(u,v),skc26)** -> disjoint(v,u).
% 8.00/8.21 223[0:SpR:18.0,47.0] || -> equal(set_difference(set_union2(u,v),u),set_difference(v,u))**.
% 8.00/8.21 225[0:SpR:141.0,47.0] || -> equal(set_difference(u,u),set_difference(skc26,u))*.
% 8.00/8.21 227[0:Rew:98.0,225.0] || -> equal(set_difference(u,u),skc26)**.
% 8.00/8.21 252[0:SpR:46.0,47.0] || -> equal(set_difference(set_union2(u,v),set_difference(v,u)),set_difference(u,set_difference(v,u)))**.
% 8.00/8.21 258[0:SpR:48.0,46.0] || -> equal(set_union2(set_difference(u,v),set_intersection2(u,v)),set_union2(set_difference(u,v),u))**.
% 8.00/8.21 265[0:Rew:18.0,258.0,18.0,258.0] || -> equal(set_union2(set_intersection2(u,v),set_difference(u,v)),set_union2(u,set_difference(u,v)))**.
% 8.00/8.21 293[0:SpR:223.0,46.0] || -> equal(set_union2(u,set_difference(v,u)),set_union2(u,set_union2(u,v)))**.
% 8.00/8.21 296[0:SpR:223.0,48.0] || -> equal(set_difference(set_union2(u,v),set_difference(v,u)),set_intersection2(set_union2(u,v),u))**.
% 8.00/8.21 307[0:Rew:46.0,293.0] || -> equal(set_union2(u,set_union2(u,v)),set_union2(u,v))**.
% 8.00/8.21 309[0:Rew:19.0,296.0] || -> equal(set_difference(set_union2(u,v),set_difference(v,u)),set_intersection2(u,set_union2(u,v)))**.
% 8.00/8.21 310[0:Rew:252.0,309.0] || -> equal(set_difference(u,set_difference(v,u)),set_intersection2(u,set_union2(u,v)))**.
% 8.00/8.21 347[0:SpR:307.0,47.0] || -> equal(set_difference(set_union2(u,v),set_union2(u,v)),set_difference(u,set_union2(u,v)))**.
% 8.00/8.21 365[0:Rew:227.0,347.0] || -> equal(set_difference(u,set_union2(u,v)),skc26)**.
% 8.00/8.21 377[0:SpR:365.0,48.0] || -> equal(set_intersection2(u,set_union2(u,v)),set_difference(u,skc26))**.
% 8.00/8.21 389[0:Rew:100.0,377.0] || -> equal(set_intersection2(u,set_union2(u,v)),u)**.
% 8.00/8.21 390[0:Rew:389.0,310.0] || -> equal(set_difference(u,set_difference(v,u)),u)**.
% 8.00/8.21 428[0:SpR:390.0,48.0] || -> equal(set_intersection2(u,set_difference(v,u)),set_difference(u,u))**.
% 8.00/8.21 440[0:Rew:227.0,428.0] || -> equal(set_intersection2(u,set_difference(v,u)),skc26)**.
% 8.00/8.21 467[0:SpL:440.0,205.0] || equal(skc26,skc26) -> disjoint(set_difference(u,v),v)*.
% 8.00/8.21 471[0:Obv:467.0] || -> disjoint(set_difference(u,v),v)*.
% 8.00/8.21 3430[0:Res:15.0,54.0] || subset(set_union2(u,v),u)*l -> equal(set_union2(u,v),u).
% 8.00/8.21 4302[0:Res:12.0,69.0] || subset(u,v) -> subset(set_union2(u,set_difference(v,w)),v)*l.
% 8.00/8.21 8482[0:SpR:191.1,265.0] || disjoint(u,v) -> equal(set_union2(skc26,set_difference(v,u)),set_union2(v,set_difference(v,u)))*.
% 8.00/8.21 8605[0:Rew:141.0,8482.1] || disjoint(u,v) -> equal(set_union2(v,set_difference(v,u)),set_difference(v,u))**.
% 8.00/8.21 30961[0:Res:4302.1,3430.0] || subset(u,u) -> equal(set_union2(u,set_difference(u,v)),u)**.
% 8.00/8.21 31049[0:MRR:30961.0,4.0] || -> equal(set_union2(u,set_difference(u,v)),u)**.
% 8.00/8.21 31056[0:Rew:31049.0,8605.1] || disjoint(u,v) -> equal(set_difference(v,u),v)**.
% 8.00/8.21 35244[1:SpL:31056.1,160.0] || disjoint(skc5,skc4)* equal(skc4,skc4) -> .
% 8.00/8.21 35256[1:Obv:35244.1] || disjoint(skc5,skc4)* -> .
% 8.00/8.21 35257[1:MRR:35256.0,161.0] || -> .
% 8.00/8.21 35272[1:Spt:35257.0,29.0,159.0] || disjoint(skc4,skc5)* -> .
% 8.00/8.21 35273[1:Spt:35257.0,29.1] || -> equal(set_difference(skc4,skc5),skc4)**.
% 8.00/8.21 35420[1:SpR:35273.0,471.0] || -> disjoint(skc4,skc5)*.
% 8.00/8.21 35499[1:MRR:35420.0,35272.0] || -> .
% 8.00/8.21 % SZS output end Refutation
% 8.00/8.21 Formulae used in the proof : rc1_xboole_0 reflexivity_r1_tarski t1_boole t36_xboole_1 t3_boole t4_boole t7_xboole_1 t6_boole commutativity_k2_xboole_0 commutativity_k3_xboole_0 symmetry_r1_xboole_0 t83_xboole_1 d7_xboole_0 t39_xboole_1 t40_xboole_1 t48_xboole_1 d10_xboole_0 t8_xboole_1
% 8.00/8.21
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