TSTP Solution File: SYN037-2 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN037-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n027.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 : Thu Jul 21 12:17:27 EDT 2022
% Result : Unsatisfiable 0.19s 0.42s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN037-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jul 11 19:28:34 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.42
% 0.19/0.42 SPASS V 3.9
% 0.19/0.42 SPASS beiseite: Proof found.
% 0.19/0.42 % SZS status Theorem
% 0.19/0.42 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.42 SPASS derived 49 clauses, backtracked 71 clauses, performed 5 splits and kept 116 clauses.
% 0.19/0.42 SPASS allocated 75631 KBytes.
% 0.19/0.42 SPASS spent 0:00:00.07 on the problem.
% 0.19/0.42 0:00:00.04 for the input.
% 0.19/0.42 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.42 0:00:00.00 for inferences.
% 0.19/0.42 0:00:00.00 for the backtracking.
% 0.19/0.42 0:00:00.00 for the reduction.
% 0.19/0.42
% 0.19/0.42
% 0.19/0.42 Here is a proof with depth 2, length 94 :
% 0.19/0.42 % SZS output start Refutation
% 0.19/0.42 1[0:Inp] p(u) || m1 m3 p(fy(u))* -> .
% 0.19/0.42 2[0:Inp] || m3 m1 -> p(u) p(fy(u))*.
% 0.19/0.42 3[0:Inp] || m1 p(cx)*+ -> m3 p(u)*.
% 0.19/0.42 4[0:Inp] p(u) || m1 -> m3 p(cx)*.
% 0.19/0.42 5[0:Inp] || m3 m2 q(cw)* -> q(u)*.
% 0.19/0.42 6[0:Inp] q(u) || m2 m3 -> q(cw)*.
% 0.19/0.42 7[0:Inp] q(u) || m2 q(fz5(u))* -> m3.
% 0.19/0.42 8[0:Inp] || m2 -> m3 q(u) q(fz5(u))*.
% 0.19/0.42 9[0:Inp] || m3 p(cx)* -> m1 p(u)*.
% 0.19/0.42 10[0:Inp] p(u) || m3 -> m1 p(cx)*.
% 0.19/0.42 11[0:Inp] q(u) || m3 q(fz2(u))* -> m2.
% 0.19/0.42 12[0:Inp] || m3 -> m2 q(u) q(fz2(u))*.
% 0.19/0.42 13[0:Inp] p(u) || p(fy3(u))* -> m3 m1.
% 0.19/0.42 14[0:Inp] || q(cw)* -> m3 m2 q(u)*.
% 0.19/0.42 15[0:Inp] q(u) || -> m3 m2 q(cw)*.
% 0.19/0.42 16[0:Inp] || -> m3 m1 p(u) p(fy3(u))*.
% 0.19/0.42 17[0:Inp] q(u) || m1 -> q(v)*.
% 0.19/0.42 18[0:Inp] p(u) || m2 -> p(v)*.
% 0.19/0.42 19[0:Inp] || p(cvv)* -> m2.
% 0.19/0.42 20[0:Inp] || q(cuu)* -> m1.
% 0.19/0.42 21[0:Inp] || -> m2 p(cv)*.
% 0.19/0.42 22[0:Inp] || -> m1 q(cu)*.
% 0.19/0.42 43[1:Spt:3.2] || -> m3*.
% 0.19/0.42 44[1:MRR:12.0,43.0] || -> m2 q(u) q(fz2(u))*.
% 0.19/0.42 45[1:MRR:10.1,43.0] p(u) || -> m1 p(cx)*.
% 0.19/0.42 46[1:MRR:9.0,43.0] || p(cx)* -> m1 p(u)*.
% 0.19/0.42 47[1:MRR:6.2,43.0] q(u) || m2 -> q(cw)*.
% 0.19/0.42 48[1:MRR:5.0,43.0] || m2 q(cw)* -> q(u)*.
% 0.19/0.42 49[1:MRR:2.0,43.0] || m1 -> p(u) p(fy(u))*.
% 0.19/0.42 50[1:MRR:11.1,43.0] q(u) || q(fz2(u))* -> m2.
% 0.19/0.42 51[1:MRR:1.2,43.0] p(u) || m1 p(fy(u))* -> .
% 0.19/0.42 52[2:Spt:22.0] || -> m1*.
% 0.19/0.42 53[2:MRR:17.1,52.0] q(u) || -> q(v)*.
% 0.19/0.42 54[2:MRR:49.0,52.0] || -> p(u) p(fy(u))*.
% 0.19/0.42 55[2:MRR:51.1,52.0] p(u) || p(fy(u))* -> .
% 0.19/0.42 57[2:MRR:44.2,53.0] || -> m2 q(u)*.
% 0.19/0.42 58[2:MRR:50.1,53.1] q(u) || -> m2*.
% 0.19/0.42 60[2:MRR:58.0,57.1] || -> m2*.
% 0.19/0.42 61[2:MRR:18.1,60.0] p(u) || -> p(v)*.
% 0.19/0.42 63[2:MRR:54.1,61.0] || -> p(u)*.
% 0.19/0.42 64[2:MRR:55.0,55.1,63.0,63.0] || -> .
% 0.19/0.42 65[2:Spt:64.0,22.0,52.0] || m1* -> .
% 0.19/0.42 66[2:Spt:64.0,22.1] || -> q(cu)*.
% 0.19/0.42 67[2:MRR:20.1,65.0] || q(cuu)* -> .
% 0.19/0.42 68[2:MRR:45.1,65.0] p(u) || -> p(cx)*.
% 0.19/0.42 69[2:MRR:46.1,65.0] || p(cx)*+ -> p(u)*.
% 0.19/0.42 70[3:Spt:21.0] || -> m2*.
% 0.19/0.42 71[3:MRR:47.1,70.0] q(u) || -> q(cw)*.
% 0.19/0.42 72[3:MRR:48.0,70.0] || q(cw)* -> q(u)*.
% 0.19/0.42 74[3:EmS:71.0,66.0] || -> q(cw)*.
% 0.19/0.42 75[3:MRR:72.0,74.0] || -> q(u)*.
% 0.19/0.42 76[3:UnC:75.0,67.0] || -> .
% 0.19/0.42 77[3:Spt:76.0,21.0,70.0] || m2* -> .
% 0.19/0.42 78[3:Spt:76.0,21.1] || -> p(cv)*.
% 0.19/0.42 79[3:MRR:19.1,77.0] || p(cvv)* -> .
% 0.19/0.42 82[3:EmS:68.0,78.0] || -> p(cx)*.
% 0.19/0.42 84[3:MRR:69.0,82.0] || -> p(u)*.
% 0.19/0.42 85[3:UnC:84.0,79.0] || -> .
% 0.19/0.42 86[1:Spt:85.0,3.2,43.0] || m3* -> .
% 0.19/0.42 87[1:Spt:85.0,3.0,3.1,3.3] || m1 p(cx)*+ -> p(u)*.
% 0.19/0.42 88[1:MRR:16.0,86.0] || -> m1 p(u) p(fy3(u))*.
% 0.19/0.42 89[1:MRR:15.1,86.0] q(u) || -> m2 q(cw)*.
% 0.19/0.42 90[1:MRR:14.1,86.0] || q(cw)* -> m2 q(u)*.
% 0.19/0.42 91[1:MRR:8.1,86.0] || m2 -> q(u) q(fz5(u))*.
% 0.19/0.42 92[1:MRR:4.2,86.0] p(u) || m1 -> p(cx)*.
% 0.19/0.42 93[1:MRR:13.2,86.0] p(u) || p(fy3(u))* -> m1.
% 0.19/0.42 94[1:MRR:7.3,86.0] q(u) || m2 q(fz5(u))* -> .
% 0.19/0.42 95[2:Spt:21.0] || -> m2*.
% 0.19/0.42 96[2:MRR:18.1,95.0] p(u) || -> p(v)*.
% 0.19/0.42 97[2:MRR:91.0,95.0] || -> q(u) q(fz5(u))*.
% 0.19/0.42 98[2:MRR:94.1,95.0] q(u) || q(fz5(u))* -> .
% 0.19/0.42 100[2:MRR:88.2,96.0] || -> m1 p(u)*.
% 0.19/0.42 101[2:MRR:93.1,96.1] p(u) || -> m1*.
% 0.19/0.42 103[2:MRR:101.0,100.1] || -> m1*.
% 0.19/0.42 104[2:MRR:17.1,103.0] q(u) || -> q(v)*.
% 0.19/0.42 106[2:MRR:97.1,104.0] || -> q(u)*.
% 0.19/0.42 107[2:MRR:98.0,98.1,106.0,106.0] || -> .
% 0.19/0.42 108[2:Spt:107.0,21.0,95.0] || m2* -> .
% 0.19/0.42 109[2:Spt:107.0,21.1] || -> p(cv)*.
% 0.19/0.42 110[2:MRR:19.1,108.0] || p(cvv)* -> .
% 0.19/0.42 111[2:MRR:89.1,108.0] q(u) || -> q(cw)*.
% 0.19/0.42 112[2:MRR:90.1,108.0] || q(cw)*+ -> q(u)*.
% 0.19/0.42 113[3:Spt:22.0] || -> m1*.
% 0.19/0.42 114[3:MRR:92.1,113.0] p(u) || -> p(cx)*.
% 0.19/0.42 115[3:MRR:87.0,113.0] || p(cx)* -> p(u)*.
% 0.19/0.42 117[3:EmS:114.0,109.0] || -> p(cx)*.
% 0.19/0.42 118[3:MRR:115.0,117.0] || -> p(u)*.
% 0.19/0.42 119[3:UnC:118.0,110.0] || -> .
% 0.19/0.42 120[3:Spt:119.0,22.0,113.0] || m1* -> .
% 0.19/0.42 121[3:Spt:119.0,22.1] || -> q(cu)*.
% 0.19/0.42 122[3:MRR:20.1,120.0] || q(cuu)* -> .
% 0.19/0.42 125[3:EmS:111.0,121.0] || -> q(cw)*.
% 0.19/0.42 127[3:MRR:112.0,125.0] || -> q(u)*.
% 0.19/0.42 128[3:UnC:127.0,122.0] || -> .
% 0.19/0.42 % SZS output end Refutation
% 0.19/0.42 Formulae used in the proof : clause_1 clause_2 clause_3 clause_4 clause_5 clause_6 clause_7 clause_8 clause_9 clause_10 clause_11 clause_12 clause_13 clause_14 clause_15 clause_16 clause_17 clause_18 clause_19 clause_20 clause_21 clause_22
% 0.19/0.42
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