TSTP Solution File: CSR036+2 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : CSR036+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n032.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 : Fri Jul 15 23:24:27 EDT 2022

% Result   : Theorem 99.20s 99.46s
% Output   : Refutation 101.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.07  % Problem  : CSR036+2 : TPTP v8.1.0. Released v3.4.0.
% 0.02/0.08  % Command  : run_spass %d %s
% 0.06/0.26  % Computer : n032.cluster.edu
% 0.06/0.26  % Model    : x86_64 x86_64
% 0.06/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26  % Memory   : 8042.1875MB
% 0.06/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26  % CPULimit : 300
% 0.06/0.26  % WCLimit  : 600
% 0.06/0.26  % DateTime : Fri Jun 10 08:22:38 EDT 2022
% 0.06/0.26  % CPUTime  : 
% 99.20/99.46  
% 99.20/99.46  SPASS V 3.9 
% 99.20/99.46  SPASS beiseite: Proof found.
% 99.20/99.46  % SZS status Theorem
% 99.20/99.46  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 99.20/99.46  SPASS derived 89170 clauses, backtracked 0 clauses, performed 0 splits and kept 71700 clauses.
% 99.20/99.46  SPASS allocated 153689 KBytes.
% 99.20/99.46  SPASS spent	0:1:39.12 on the problem.
% 99.20/99.46  		0:00:00.03 for the input.
% 99.20/99.46  		0:00:00.16 for the FLOTTER CNF translation.
% 99.20/99.46  		0:00:01.29 for inferences.
% 99.20/99.46  		0:00:00.00 for the backtracking.
% 99.20/99.46  		0:1:32.06 for the reduction.
% 99.20/99.46  
% 99.20/99.46  
% 99.20/99.46  Here is a proof with depth 5, length 92 :
% 99.20/99.46  % SZS output start Refutation
% 99.20/99.46  26[0:Inp] ||  -> genls(c_tptpcol_10_72710,c_tptpcol_9_72709)*l.
% 99.20/99.46  32[0:Inp] ||  -> genls(c_tptpcol_9_22021,c_tptpcol_8_22020)*l.
% 99.20/99.46  34[0:Inp] ||  -> genls(c_tptpcol_14_72792,c_tptpcol_13_72791)*l.
% 99.20/99.46  35[0:Inp] ||  -> genls(c_tptpcol_5_20483,c_tptpcol_4_16387)*r.
% 99.20/99.46  36[0:Inp] ||  -> genls(c_tptpcol_11_22023,c_tptpcol_10_22022)*l.
% 99.20/99.46  60[0:Inp] ||  -> genls(c_tptpcol_8_72708,c_tptpcol_7_72707)*l.
% 99.20/99.46  92[0:Inp] ||  -> genls(c_tptpcol_2_2,c_tptpcol_1_1)*l.
% 99.20/99.46  96[0:Inp] ||  -> disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536)*.
% 99.20/99.46  102[0:Inp] ||  -> genls(c_tptpcol_12_22055,c_tptpcol_11_22023)*r.
% 99.20/99.46  112[0:Inp] ||  -> genls(c_tptpcol_14_22072,c_tptpcol_13_22071)*l.
% 99.20/99.46  114[0:Inp] ||  -> genls(c_tptpcol_10_22022,c_tptpcol_9_22021)*r.
% 99.20/99.46  117[0:Inp] ||  -> genls(c_tptpcol_9_72709,c_tptpcol_8_72708)*l.
% 99.20/99.46  128[0:Inp] ||  -> genls(c_tptpcol_5_69635,c_tptpcol_4_65539)*l.
% 99.20/99.46  130[0:Inp] ||  -> genls(c_tptpcol_13_22071,c_tptpcol_12_22055)*r.
% 99.20/99.46  156[0:Inp] ||  -> genls(c_tptpcol_15_72793,c_tptpcol_14_72792)*r.
% 99.20/99.46  158[0:Inp] ||  -> genls(c_tptpcol_4_16387,c_tptpcol_3_16386)*l.
% 99.20/99.46  165[0:Inp] ||  -> genls(c_tptpcol_8_22020,c_tptpcol_7_21508)*l.
% 99.20/99.46  167[0:Inp] ||  -> genls(c_tptpcol_3_65538,c_tptpcol_2_65537)*r.
% 99.20/99.46  180[0:Inp] ||  -> genls(c_tptpcol_6_20484,c_tptpcol_5_20483)*r.
% 99.20/99.46  186[0:Inp] ||  -> genls(c_tptpcol_2_65537,c_tptpcol_1_65536)*l.
% 99.20/99.46  206[0:Inp] ||  -> genls(c_tptpcol_3_16386,c_tptpcol_2_2)*r.
% 99.20/99.46  210[0:Inp] ||  -> genls(c_tptpcol_12_72775,c_tptpcol_11_72774)*l.
% 99.20/99.46  211[0:Inp] ||  -> genls(c_tptpcol_7_72707,c_tptpcol_6_71683)*l.
% 99.20/99.46  214[0:Inp] ||  -> genls(c_tptpcol_16_72795,c_tptpcol_15_72793)*l.
% 99.20/99.46  215[0:Inp] ||  -> genls(c_tptpcol_6_71683,c_tptpcol_5_69635)*r.
% 99.20/99.46  231[0:Inp] ||  -> genls(c_tptpcol_4_65539,c_tptpcol_3_65538)*l.
% 99.20/99.46  233[0:Inp] ||  -> genls(c_tptpcol_15_22076,c_tptpcol_14_22072)*l.
% 99.20/99.46  237[0:Inp] ||  -> genls(c_tptpcol_11_72774,c_tptpcol_10_72710)*r.
% 99.20/99.46  241[0:Inp] ||  -> genls(c_tptpcol_7_21508,c_tptpcol_6_20484)*l.
% 99.20/99.46  255[0:Inp] ||  -> genls(c_tptpcol_13_72791,c_tptpcol_12_72775)*l.
% 99.20/99.46  268[0:Inp] || disjointwith(c_tptpcol_15_22076,c_tptpcol_16_72795)* -> .
% 99.20/99.46  1124[0:Inp] || genls(u,v)*+ disjointwith(w,v)* -> disjointwith(w,u)*.
% 99.20/99.46  1125[0:Inp] || genls(u,v)*+ disjointwith(v,w)* -> disjointwith(u,w)*.
% 99.20/99.46  6886[0:Res:241.0,1125.0] || disjointwith(c_tptpcol_6_20484,u) -> disjointwith(c_tptpcol_7_21508,u)*.
% 99.20/99.46  6890[0:Res:233.0,1125.0] || disjointwith(c_tptpcol_14_22072,u) -> disjointwith(c_tptpcol_15_22076,u)*.
% 99.20/99.46  6909[0:Res:206.0,1125.0] || disjointwith(c_tptpcol_2_2,u)* -> disjointwith(c_tptpcol_3_16386,u).
% 99.20/99.46  6927[0:Res:180.0,1125.0] || disjointwith(c_tptpcol_5_20483,u)* -> disjointwith(c_tptpcol_6_20484,u).
% 99.20/99.46  6936[0:Res:165.0,1125.0] || disjointwith(c_tptpcol_7_21508,u) -> disjointwith(c_tptpcol_8_22020,u)*.
% 99.20/99.46  6939[0:Res:158.0,1125.0] || disjointwith(c_tptpcol_3_16386,u) -> disjointwith(c_tptpcol_4_16387,u)*.
% 99.20/99.46  6956[0:Res:130.0,1125.0] || disjointwith(c_tptpcol_12_22055,u)* -> disjointwith(c_tptpcol_13_22071,u).
% 99.20/99.46  6966[0:Res:114.0,1125.0] || disjointwith(c_tptpcol_9_22021,u)* -> disjointwith(c_tptpcol_10_22022,u).
% 99.20/99.46  6968[0:Res:112.0,1125.0] || disjointwith(c_tptpcol_13_22071,u) -> disjointwith(c_tptpcol_14_22072,u)*.
% 99.20/99.46  6975[0:Res:102.0,1125.0] || disjointwith(c_tptpcol_11_22023,u)* -> disjointwith(c_tptpcol_12_22055,u).
% 99.20/99.46  6980[0:Res:92.0,1125.0] || disjointwith(c_tptpcol_1_1,u) -> disjointwith(c_tptpcol_2_2,u)*.
% 99.20/99.46  7006[0:Res:36.0,1125.0] || disjointwith(c_tptpcol_10_22022,u) -> disjointwith(c_tptpcol_11_22023,u)*.
% 99.20/99.46  7007[0:Res:35.0,1125.0] || disjointwith(c_tptpcol_4_16387,u)* -> disjointwith(c_tptpcol_5_20483,u).
% 99.20/99.46  7010[0:Res:32.0,1125.0] || disjointwith(c_tptpcol_8_22020,u) -> disjointwith(c_tptpcol_9_22021,u)*.
% 99.20/99.46  7171[0:Res:255.0,1124.0] || disjointwith(u,c_tptpcol_12_72775) -> disjointwith(u,c_tptpcol_13_72791)*.
% 99.20/99.46  7184[0:Res:237.0,1124.0] || disjointwith(u,c_tptpcol_10_72710)* -> disjointwith(u,c_tptpcol_11_72774).
% 99.20/99.46  7189[0:Res:231.0,1124.0] || disjointwith(u,c_tptpcol_3_65538) -> disjointwith(u,c_tptpcol_4_65539)*.
% 99.20/99.46  7197[0:Res:215.0,1124.0] || disjointwith(u,c_tptpcol_5_69635)* -> disjointwith(u,c_tptpcol_6_71683).
% 99.20/99.46  7198[0:Res:214.0,1124.0] || disjointwith(u,c_tptpcol_15_72793) -> disjointwith(u,c_tptpcol_16_72795)*.
% 99.20/99.46  7201[0:Res:211.0,1124.0] || disjointwith(u,c_tptpcol_6_71683) -> disjointwith(u,c_tptpcol_7_72707)*.
% 99.20/99.46  7202[0:Res:210.0,1124.0] || disjointwith(u,c_tptpcol_11_72774) -> disjointwith(u,c_tptpcol_12_72775)*.
% 99.20/99.46  7219[0:Res:186.0,1124.0] || disjointwith(u,c_tptpcol_1_65536) -> disjointwith(u,c_tptpcol_2_65537)*.
% 99.20/99.46  7231[0:Res:167.0,1124.0] || disjointwith(u,c_tptpcol_2_65537)* -> disjointwith(u,c_tptpcol_3_65538).
% 99.20/99.46  7239[0:Res:156.0,1124.0] || disjointwith(u,c_tptpcol_14_72792)* -> disjointwith(u,c_tptpcol_15_72793).
% 99.20/99.46  7254[0:Res:128.0,1124.0] || disjointwith(u,c_tptpcol_4_65539) -> disjointwith(u,c_tptpcol_5_69635)*.
% 99.20/99.46  7261[0:Res:117.0,1124.0] || disjointwith(u,c_tptpcol_8_72708) -> disjointwith(u,c_tptpcol_9_72709)*.
% 99.20/99.46  7293[0:Res:60.0,1124.0] || disjointwith(u,c_tptpcol_7_72707) -> disjointwith(u,c_tptpcol_8_72708)*.
% 99.20/99.46  7306[0:Res:34.0,1124.0] || disjointwith(u,c_tptpcol_13_72791) -> disjointwith(u,c_tptpcol_14_72792)*.
% 99.20/99.46  7309[0:Res:26.0,1124.0] || disjointwith(u,c_tptpcol_9_72709) -> disjointwith(u,c_tptpcol_10_72710)*.
% 99.20/99.46  23642[0:Res:6890.1,268.0] || disjointwith(c_tptpcol_14_22072,c_tptpcol_16_72795)* -> .
% 99.20/99.46  25037[0:Res:7171.1,6956.0] || disjointwith(c_tptpcol_12_22055,c_tptpcol_12_72775)* -> disjointwith(c_tptpcol_13_22071,c_tptpcol_13_72791).
% 99.20/99.46  26168[0:Res:7006.1,7184.0] || disjointwith(c_tptpcol_10_22022,c_tptpcol_10_72710) -> disjointwith(c_tptpcol_11_22023,c_tptpcol_11_72774)*.
% 99.20/99.46  26513[0:Res:7189.1,7007.0] || disjointwith(c_tptpcol_4_16387,c_tptpcol_3_65538)* -> disjointwith(c_tptpcol_5_20483,c_tptpcol_4_65539).
% 99.20/99.46  27061[0:Res:6886.1,7197.0] || disjointwith(c_tptpcol_6_20484,c_tptpcol_5_69635) -> disjointwith(c_tptpcol_7_21508,c_tptpcol_6_71683)*.
% 99.20/99.46  27420[0:Res:7201.1,6966.0] || disjointwith(c_tptpcol_9_22021,c_tptpcol_6_71683)* -> disjointwith(c_tptpcol_10_22022,c_tptpcol_7_72707).
% 99.20/99.46  27489[0:Res:7202.1,6975.0] || disjointwith(c_tptpcol_11_22023,c_tptpcol_11_72774)* -> disjointwith(c_tptpcol_12_22055,c_tptpcol_12_72775).
% 99.20/99.46  28772[0:Res:7219.1,6909.0] || disjointwith(c_tptpcol_2_2,c_tptpcol_1_65536)* -> disjointwith(c_tptpcol_3_16386,c_tptpcol_2_65537).
% 99.20/99.46  29726[0:Res:6939.1,7231.0] || disjointwith(c_tptpcol_3_16386,c_tptpcol_2_65537) -> disjointwith(c_tptpcol_4_16387,c_tptpcol_3_65538)*.
% 99.20/99.46  30263[0:Res:6968.1,7239.0] || disjointwith(c_tptpcol_13_22071,c_tptpcol_14_72792) -> disjointwith(c_tptpcol_14_22072,c_tptpcol_15_72793)*.
% 99.20/99.46  31488[0:Res:7254.1,6927.0] || disjointwith(c_tptpcol_5_20483,c_tptpcol_4_65539)* -> disjointwith(c_tptpcol_6_20484,c_tptpcol_5_69635).
% 99.20/99.46  87958[0:Res:7198.1,23642.0] || disjointwith(c_tptpcol_14_22072,c_tptpcol_15_72793)* -> .
% 99.20/99.46  87960[0:MRR:30263.1,87958.0] || disjointwith(c_tptpcol_13_22071,c_tptpcol_14_72792)* -> .
% 99.20/99.46  88221[0:Res:7306.1,87960.0] || disjointwith(c_tptpcol_13_22071,c_tptpcol_13_72791)* -> .
% 99.20/99.46  88222[0:MRR:25037.1,88221.0] || disjointwith(c_tptpcol_12_22055,c_tptpcol_12_72775)* -> .
% 99.20/99.46  88223[0:MRR:27489.1,88222.0] || disjointwith(c_tptpcol_11_22023,c_tptpcol_11_72774)* -> .
% 99.20/99.46  88224[0:MRR:26168.1,88223.0] || disjointwith(c_tptpcol_10_22022,c_tptpcol_10_72710)* -> .
% 99.20/99.46  88493[0:Res:7309.1,88224.0] || disjointwith(c_tptpcol_10_22022,c_tptpcol_9_72709)* -> .
% 99.20/99.46  88803[0:Res:7261.1,88493.0] || disjointwith(c_tptpcol_10_22022,c_tptpcol_8_72708)* -> .
% 99.20/99.46  89228[0:Res:7293.1,88803.0] || disjointwith(c_tptpcol_10_22022,c_tptpcol_7_72707)* -> .
% 99.20/99.46  89229[0:MRR:27420.1,89228.0] || disjointwith(c_tptpcol_9_22021,c_tptpcol_6_71683)* -> .
% 99.20/99.46  89625[0:Res:7010.1,89229.0] || disjointwith(c_tptpcol_8_22020,c_tptpcol_6_71683)* -> .
% 99.20/99.46  90209[0:Res:6936.1,89625.0] || disjointwith(c_tptpcol_7_21508,c_tptpcol_6_71683)* -> .
% 99.20/99.46  90210[0:MRR:27061.1,90209.0] || disjointwith(c_tptpcol_6_20484,c_tptpcol_5_69635)* -> .
% 101.19/101.46  90211[0:MRR:31488.1,90210.0] || disjointwith(c_tptpcol_5_20483,c_tptpcol_4_65539)* -> .
% 101.19/101.46  90212[0:MRR:26513.1,90211.0] || disjointwith(c_tptpcol_4_16387,c_tptpcol_3_65538)* -> .
% 101.19/101.46  90213[0:MRR:29726.1,90212.0] || disjointwith(c_tptpcol_3_16386,c_tptpcol_2_65537)* -> .
% 101.19/101.46  90214[0:MRR:28772.1,90213.0] || disjointwith(c_tptpcol_2_2,c_tptpcol_1_65536)* -> .
% 101.19/101.46  91104[0:Res:6980.1,90214.0] || disjointwith(c_tptpcol_1_1,c_tptpcol_1_65536)* -> .
% 101.19/101.46  91105[0:MRR:91104.0,96.0] ||  -> .
% 101.19/101.46  % SZS output end Refutation
% 101.19/101.46  Formulae used in the proof : ax1_6 ax1_21 ax1_26 ax1_28 ax1_30 ax1_74 ax1_145 ax1_152 ax1_168 ax1_189 ax1_193 ax1_199 ax1_224 ax1_230 ax1_280 ax1_285 ax1_305 ax1_311 ax1_335 ax1_348 ax1_385 ax1_395 ax1_397 ax1_403 ax1_405 ax1_436 ax1_442 ax1_449 ax1_456 ax1_491 query86 ax1_1121 ax1_1122
% 101.19/101.46  
%------------------------------------------------------------------------------