TSTP Solution File: SWW005_1 by SPASS+T---2.2.22
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS+T---2.2.22
% Problem : SWW005_1 : TPTP v8.1.0. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : spasst-tptp-script %s %d
% Computer : n020.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 01:29:27 EDT 2022
% Result : Theorem 1.57s 2.00s
% Output : Refutation 1.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW005_1 : TPTP v8.1.0. Released v5.0.0.
% 0.07/0.12 % Command : spasst-tptp-script %s %d
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jun 5 05:35:07 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.47 % Using integer theory
% 1.57/2.00
% 1.57/2.00
% 1.57/2.00 % SZS status Theorem for /tmp/SPASST_26415_n020.cluster.edu
% 1.57/2.00
% 1.57/2.00 SPASS V 2.2.22 in combination with yices.
% 1.57/2.00 SPASS beiseite: Proof found by SPASS.
% 1.57/2.00 Problem: /tmp/SPASST_26415_n020.cluster.edu
% 1.57/2.00 SPASS derived 316 clauses, backtracked 48 clauses and kept 275 clauses.
% 1.57/2.00 SPASS backtracked 13 times (0 times due to theory inconsistency).
% 1.57/2.00 SPASS allocated 7142 KBytes.
% 1.57/2.00 SPASS spent 0:00:00.20 on the problem.
% 1.57/2.00 0:00:00.01 for the input.
% 1.57/2.00 0:00:00.06 for the FLOTTER CNF translation.
% 1.57/2.00 0:00:00.01 for inferences.
% 1.57/2.00 0:00:00.00 for the backtracking.
% 1.57/2.00 0:00:00.09 for the reduction.
% 1.57/2.00 0:00:00.01 for interacting with the SMT procedure.
% 1.57/2.00
% 1.57/2.00
% 1.57/2.00 % SZS output start CNFRefutation for /tmp/SPASST_26415_n020.cluster.edu
% 1.57/2.00
% 1.57/2.00 % Here is a proof with depth 6, length 108 :
% 1.57/2.00 8[0:Inp] || -> less(z2,z1)*.
% 1.57/2.00 13[0:Inp] || equal(z2,z1)** -> .
% 1.57/2.00 14[0:Inp] || equal(z3,z1)** -> .
% 1.57/2.00 15[0:Inp] || equal(z4,z1)** -> .
% 1.57/2.00 17[0:Inp] || equal(z3,z2)** -> .
% 1.57/2.00 18[0:Inp] || equal(z4,z2)** -> .
% 1.57/2.00 20[0:Inp] || equal(z4,z3)** -> .
% 1.57/2.00 23[0:Inp] || -> equal(a(z1),4)**.
% 1.57/2.00 24[0:Inp] || -> equal(a(z2),10)**.
% 1.57/2.00 26[0:Inp] || -> less(b(z2),3)*.
% 1.57/2.00 27[0:Inp] || -> equal(b(z3),2)**.
% 1.57/2.00 28[0:Inp] || -> equal(b(z4),5)**.
% 1.57/2.00 67[0:Inp] || equal(b(U),2)** equal(a(U),8) equal(a(V),10) less(b(V),3)* less(V,W)* equal(a(W),4) -> equal(V,U)* equal(W,U)* equal(W,V).
% 1.57/2.00 85[0:Inp] || equal(a(U),1)** equal(b(V),5)** equal(a(W),10) less(b(W),3)* less(W,X)* equal(a(X),4) -> equal(V,U)* equal(W,V)* equal(W,U)* equal(X,U)* equal(X,V)* equal(X,W).
% 1.57/2.00 86[0:Inp] || equal(a(U),2)** equal(a(V),8)** equal(a(W),10) less(b(W),3)* less(W,X)* equal(a(X),4) -> equal(V,U)* equal(W,V)* equal(W,U)* equal(X,U)* equal(X,V)* equal(X,W).
% 1.57/2.00 88[0:Inp] || equal(a(U),2)** equal(b(V),5)** equal(a(W),10) less(b(W),3)* less(W,X)* equal(a(X),4) -> equal(V,U)* equal(W,V)* equal(W,U)* equal(X,U)* equal(X,V)* equal(X,W).
% 1.57/2.00 90[0:Inp] || equal(b(U),2)** equal(a(V),8)** equal(a(W),10) less(b(W),3)* less(W,X)* equal(a(X),4) -> equal(V,U)* equal(W,V)* equal(W,U)* equal(X,U)* equal(X,V)* equal(X,W).
% 1.57/2.00 92[0:Inp] || equal(b(U),2)** equal(b(V),5)** equal(a(W),10) less(b(W),3)* less(W,X)* equal(a(X),4) -> equal(V,U)* equal(W,V)* equal(W,U)* equal(X,U)* equal(X,V)* equal(X,W).
% 1.57/2.00 183[0:TOC:67.4] || equal(a(U),4)+ equal(a(V),10) equal(a(W),8) equal(b(W),2)** -> equal(U,V) equal(U,W)* equal(V,W)* lesseq(U,V)* lesseq(3,b(V))*.
% 1.57/2.00 201[0:TOC:85.4] || equal(a(U),4)+ equal(a(V),10) equal(b(W),5)** equal(a(X),1)** -> equal(U,V) equal(U,W)* equal(U,X)* equal(V,X)* equal(V,W)* equal(W,X)* lesseq(U,V)* lesseq(3,b(V))*.
% 1.57/2.00 202[0:TOC:86.4] || equal(a(U),4)+ equal(a(V),10) equal(a(W),8)** equal(a(X),2)** -> equal(U,V) equal(U,W)* equal(U,X)* equal(V,X)* equal(V,W)* equal(W,X)* lesseq(U,V)* lesseq(3,b(V))*.
% 1.57/2.00 204[0:TOC:88.4] || equal(a(U),4)+ equal(a(V),10) equal(b(W),5)** equal(a(X),2)** -> equal(U,V) equal(U,W)* equal(U,X)* equal(V,X)* equal(V,W)* equal(W,X)* lesseq(U,V)* lesseq(3,b(V))*.
% 1.57/2.00 206[0:TOC:90.4] || equal(a(U),4)+ equal(a(V),10) equal(a(W),8)** equal(b(X),2)** -> equal(U,V) equal(U,W)* equal(U,X)* equal(V,X)* equal(V,W)* equal(W,X)* lesseq(U,V)* lesseq(3,b(V))*.
% 1.57/2.00 208[0:TOC:92.4] || equal(a(U),4)+ equal(a(V),10) equal(b(W),5)** equal(b(X),2)** -> equal(U,V) equal(U,W)* equal(U,X)* equal(V,X)* equal(V,W)* equal(W,X)* lesseq(U,V)* lesseq(3,b(V))*.
% 1.57/2.00 427[0:SpL:23.0,183.0] || equal(4,4) equal(a(U),10) equal(a(V),8) equal(b(V),2)** -> equal(z1,U) equal(z1,V) equal(U,V)* lesseq(z1,U) lesseq(3,b(U))*.
% 1.57/2.00 428[0:ArS:427.0] || equal(a(U),10)+ equal(a(V),8) equal(b(V),2)** -> equal(z1,U) equal(z1,V) equal(U,V)* lesseq(z1,U) lesseq(3,b(U))*.
% 1.57/2.00 432[0:SpL:24.0,428.0] || equal(10,10) equal(a(U),8) equal(b(U),2)** -> equal(z2,z1) equal(z1,U) equal(z2,U) lesseq(z1,z2) lesseq(3,b(z2))*.
% 1.57/2.00 435[0:ArS:432.0] || equal(a(U),8) equal(b(U),2)** -> equal(z2,z1) equal(z1,U) equal(z2,U) lesseq(z1,z2) lesseq(3,b(z2))*.
% 1.57/2.00 436(e)[0:MRR:435.2,13.0] || equal(a(U),8) equal(b(U),2)** -> equal(z1,U) equal(z2,U) lesseq(z1,z2) lesseq(3,b(z2))*.
% 1.57/2.00 438[1:Spt:436.4] || -> lesseq(z1,z2)*.
% 1.57/2.00 441(e)[1:OCE:438.0,8.0] || -> .
% 1.57/2.00 444[1:Spt:441.0,436.4,438.0] || lesseq(z1,z2)* -> .
% 1.57/2.00 445(e)[1:Spt:441.0,436.0,436.1,436.2,436.3,436.5] || equal(a(U),8) equal(b(U),2)** -> equal(z1,U) equal(z2,U) lesseq(3,b(z2))*.
% 1.57/2.00 448[2:Spt:445.4] || -> lesseq(3,b(z2))*.
% 1.57/2.00 451(e)[2:OCE:448.0,26.0] || -> .
% 1.57/2.00 456[2:Spt:451.0,445.4,448.0] || lesseq(3,b(z2))* -> .
% 1.57/2.00 457[2:Spt:451.0,445.0,445.1,445.2,445.3] || equal(a(U),8) equal(b(U),2)** -> equal(z1,U) equal(z2,U).
% 1.57/2.00 644[0:SpL:23.0,202.0] || equal(4,4) equal(a(U),10) equal(a(V),8)** equal(a(W),2)** -> equal(z1,U) equal(z1,V) equal(z1,W) equal(U,W)* equal(U,V)* equal(V,W)* lesseq(z1,U) lesseq(3,b(U))*.
% 1.57/2.00 645[0:ArS:644.0] || equal(a(U),10)+ equal(a(V),8)** equal(a(W),2)** -> equal(z1,U) equal(z1,V) equal(z1,W) equal(U,W)* equal(U,V)* equal(V,W)* lesseq(z1,U) lesseq(3,b(U))*.
% 1.57/2.00 649[0:SpL:24.0,645.0] || equal(10,10) equal(a(U),8)** equal(a(V),2)** -> equal(z2,z1) equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2) lesseq(3,b(z2))*.
% 1.57/2.00 652[0:ArS:649.0] || equal(a(U),8)** equal(a(V),2)** -> equal(z2,z1) equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2) lesseq(3,b(z2))*.
% 1.57/2.00 653(e)[0:MRR:652.2,13.0] || equal(a(U),8)** equal(a(V),2)** -> equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2) lesseq(3,b(z2))*.
% 1.57/2.00 661[3:Spt:653.7] || -> lesseq(z1,z2)*.
% 1.57/2.00 664(e)[3:OCE:661.0,8.0] || -> .
% 1.57/2.00 667[3:Spt:664.0,653.7,661.0] || lesseq(z1,z2)* -> .
% 1.57/2.00 668(e)[3:Spt:664.0,653.0,653.1,653.2,653.3,653.4,653.5,653.6,653.8] || equal(a(U),8)** equal(a(V),2)** -> equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(3,b(z2))*.
% 1.57/2.00 670[4:Spt:668.7] || -> lesseq(3,b(z2))*.
% 1.57/2.00 673(e)[4:OCE:670.0,26.0] || -> .
% 1.57/2.00 678[4:Spt:673.0,668.7,670.0] || lesseq(3,b(z2))* -> .
% 1.57/2.00 679[4:Spt:673.0,668.0,668.1,668.2,668.3,668.4,668.5,668.6] || equal(a(U),8)**+ equal(a(V),2)** -> equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)*.
% 1.57/2.00 696[0:SpL:23.0,201.0] || equal(4,4) equal(a(U),10) equal(b(V),5)** equal(a(W),1)** -> equal(z1,U) equal(z1,V) equal(z1,W) equal(U,W)* equal(U,V)* equal(V,W)* lesseq(z1,U) lesseq(3,b(U))*.
% 1.57/2.00 697[0:ArS:696.0] || equal(a(U),10)+ equal(b(V),5)** equal(a(W),1)** -> equal(z1,U) equal(z1,V) equal(z1,W) equal(U,W)* equal(U,V)* equal(V,W)* lesseq(z1,U) lesseq(3,b(U))*.
% 1.57/2.00 702[0:SpL:23.0,204.0] || equal(4,4) equal(a(U),10) equal(b(V),5)** equal(a(W),2)** -> equal(z1,U) equal(z1,V) equal(z1,W) equal(U,W)* equal(U,V)* equal(V,W)* lesseq(z1,U) lesseq(3,b(U))*.
% 1.57/2.00 703[0:ArS:702.0] || equal(a(U),10)+ equal(b(V),5)** equal(a(W),2)** -> equal(z1,U) equal(z1,V) equal(z1,W) equal(U,W)* equal(U,V)* equal(V,W)* lesseq(z1,U) lesseq(3,b(U))*.
% 1.57/2.00 707[0:SpL:24.0,697.0] || equal(10,10) equal(b(U),5)** equal(a(V),1)** -> equal(z2,z1) equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2) lesseq(3,b(z2))*.
% 1.57/2.00 710[0:ArS:707.0] || equal(b(U),5)** equal(a(V),1)** -> equal(z2,z1) equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2) lesseq(3,b(z2))*.
% 1.57/2.00 711(e)[0:MRR:710.2,13.0] || equal(b(U),5)** equal(a(V),1)** -> equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2) lesseq(3,b(z2))*.
% 1.57/2.00 713[5:Spt:711.7] || -> lesseq(z1,z2)*.
% 1.57/2.00 716(e)[5:OCE:713.0,8.0] || -> .
% 1.57/2.00 719[5:Spt:716.0,711.7,713.0] || lesseq(z1,z2)* -> .
% 1.57/2.00 720(e)[5:Spt:716.0,711.0,711.1,711.2,711.3,711.4,711.5,711.6,711.8] || equal(b(U),5)** equal(a(V),1)** -> equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(3,b(z2))*.
% 1.57/2.00 722[6:Spt:720.7] || -> lesseq(3,b(z2))*.
% 1.57/2.00 725(e)[6:OCE:722.0,26.0] || -> .
% 1.57/2.00 730[6:Spt:725.0,720.7,722.0] || lesseq(3,b(z2))* -> .
% 1.57/2.00 731[6:Spt:725.0,720.0,720.1,720.2,720.3,720.4,720.5,720.6] || equal(b(U),5)**+ equal(a(V),1)** -> equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)*.
% 1.57/2.00 747[0:SpL:23.0,206.0] || equal(4,4) equal(a(U),10) equal(a(V),8)** equal(b(W),2)** -> equal(z1,U) equal(z1,V) equal(z1,W) equal(U,W)* equal(U,V)* equal(V,W)* lesseq(z1,U) lesseq(3,b(U))*.
% 1.57/2.00 748[0:ArS:747.0] || equal(a(U),10)+ equal(a(V),8)** equal(b(W),2)** -> equal(z1,U) equal(z1,V) equal(z1,W) equal(U,W)* equal(U,V)* equal(V,W)* lesseq(z1,U) lesseq(3,b(U))*.
% 1.57/2.00 752[0:SpL:24.0,703.0] || equal(10,10) equal(b(U),5)** equal(a(V),2)** -> equal(z2,z1) equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2) lesseq(3,b(z2))*.
% 1.57/2.00 755[0:ArS:752.0] || equal(b(U),5)** equal(a(V),2)** -> equal(z2,z1) equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2) lesseq(3,b(z2))*.
% 1.57/2.00 756(e)[0:MRR:755.2,13.0] || equal(b(U),5)** equal(a(V),2)** -> equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2) lesseq(3,b(z2))*.
% 1.57/2.00 758[7:Spt:756.7] || -> lesseq(z1,z2)*.
% 1.57/2.00 761(e)[7:OCE:758.0,8.0] || -> .
% 1.57/2.00 764[7:Spt:761.0,756.7,758.0] || lesseq(z1,z2)* -> .
% 1.57/2.00 765(e)[7:Spt:761.0,756.0,756.1,756.2,756.3,756.4,756.5,756.6,756.8] || equal(b(U),5)** equal(a(V),2)** -> equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(3,b(z2))*.
% 1.57/2.00 767[8:Spt:765.7] || -> lesseq(3,b(z2))*.
% 1.57/2.00 770(e)[8:OCE:767.0,26.0] || -> .
% 1.57/2.00 775[8:Spt:770.0,765.7,767.0] || lesseq(3,b(z2))* -> .
% 1.57/2.00 776[8:Spt:770.0,765.0,765.1,765.2,765.3,765.4,765.5,765.6] || equal(b(U),5)**+ equal(a(V),2)** -> equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)*.
% 1.57/2.00 792[0:SpL:23.0,208.0] || equal(4,4) equal(a(U),10) equal(b(V),5)** equal(b(W),2)** -> equal(z1,U) equal(z1,V) equal(z1,W) equal(U,W)* equal(U,V)* equal(V,W)* lesseq(z1,U) lesseq(3,b(U))*.
% 1.57/2.00 793[0:ArS:792.0] || equal(a(U),10)+ equal(b(V),5)** equal(b(W),2)** -> equal(z1,U) equal(z1,V) equal(z1,W) equal(U,W)* equal(U,V)* equal(V,W)* lesseq(z1,U) lesseq(3,b(U))*.
% 1.57/2.00 797[0:SpL:24.0,748.0] || equal(10,10) equal(a(U),8)** equal(b(V),2)** -> equal(z2,z1) equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2) lesseq(3,b(z2))*.
% 1.57/2.00 800[0:ArS:797.0] || equal(a(U),8)** equal(b(V),2)** -> equal(z2,z1) equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2) lesseq(3,b(z2))*.
% 1.57/2.00 801(e)[0:MRR:800.2,13.0] || equal(a(U),8)** equal(b(V),2)** -> equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2) lesseq(3,b(z2))*.
% 1.57/2.00 803[9:Spt:801.7] || -> lesseq(z1,z2)*.
% 1.57/2.00 806(e)[9:OCE:803.0,8.0] || -> .
% 1.57/2.00 809[9:Spt:806.0,801.7,803.0] || lesseq(z1,z2)* -> .
% 1.57/2.00 810(e)[9:Spt:806.0,801.0,801.1,801.2,801.3,801.4,801.5,801.6,801.8] || equal(a(U),8)** equal(b(V),2)** -> equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(3,b(z2))*.
% 1.57/2.00 812[10:Spt:810.7] || -> lesseq(3,b(z2))*.
% 1.57/2.00 815(e)[10:OCE:812.0,26.0] || -> .
% 1.57/2.00 820[10:Spt:815.0,810.7,812.0] || lesseq(3,b(z2))* -> .
% 1.57/2.00 821[10:Spt:815.0,810.0,810.1,810.2,810.3,810.4,810.5,810.6] || equal(a(U),8)**+ equal(b(V),2)** -> equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)*.
% 1.57/2.00 831[0:SpL:24.0,793.0] || equal(10,10) equal(b(U),5)** equal(b(V),2)** -> equal(z2,z1) equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2) lesseq(3,b(z2))*.
% 1.57/2.00 834[0:ArS:831.0] || equal(b(U),5)** equal(b(V),2)** -> equal(z2,z1) equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2) lesseq(3,b(z2))*.
% 1.57/2.00 835(e)[0:MRR:834.2,13.0] || equal(b(U),5)** equal(b(V),2)** -> equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(z1,z2) lesseq(3,b(z2))*.
% 1.57/2.00 843[11:Spt:835.7] || -> lesseq(z1,z2)*.
% 1.57/2.00 846(e)[11:OCE:843.0,8.0] || -> .
% 1.57/2.00 849[11:Spt:846.0,835.7,843.0] || lesseq(z1,z2)* -> .
% 1.57/2.00 850(e)[11:Spt:846.0,835.0,835.1,835.2,835.3,835.4,835.5,835.6,835.8] || equal(b(U),5)** equal(b(V),2)** -> equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)* lesseq(3,b(z2))*.
% 1.57/2.00 852[12:Spt:850.7] || -> lesseq(3,b(z2))*.
% 1.57/2.00 855(e)[12:OCE:852.0,26.0] || -> .
% 1.57/2.00 860[12:Spt:855.0,850.7,852.0] || lesseq(3,b(z2))* -> .
% 1.57/2.00 861[12:Spt:855.0,850.0,850.1,850.2,850.3,850.4,850.5,850.6] || equal(b(U),5)**+ equal(b(V),2)** -> equal(z1,U) equal(z1,V) equal(z2,V) equal(z2,U) equal(U,V)*.
% 1.57/2.00 863[12:SpL:28.0,861.0] || equal(5,5) equal(b(U),2)** -> equal(z4,z1) equal(z1,U) equal(z2,U) equal(z4,z2) equal(z4,U).
% 1.57/2.00 866[12:ArS:863.0] || equal(b(U),2)** -> equal(z4,z1) equal(z1,U) equal(z2,U) equal(z4,z2) equal(z4,U).
% 1.57/2.00 867[12:MRR:866.1,866.4,15.0,18.0] || equal(b(U),2)** -> equal(z1,U) equal(z2,U) equal(z4,U).
% 1.57/2.00 869[12:SpL:27.0,867.0] || equal(2,2) -> equal(z3,z1) equal(z3,z2) equal(z4,z3)**.
% 1.57/2.00 871[12:ArS:869.0] || -> equal(z3,z1) equal(z3,z2) equal(z4,z3)**.
% 1.57/2.00 872(e)[12:MRR:871.0,871.1,871.2,14.0,17.0,20.0] || -> .
% 1.57/2.00
% 1.57/2.00 % SZS output end CNFRefutation for /tmp/SPASST_26415_n020.cluster.edu
% 1.57/2.00
% 1.57/2.00 Formulae used in the proof : fof_z1_type fof_0
% 1.57/2.02
% 1.57/2.02 SPASS+T ended
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