%------------------------------------------------------------------------------ % File : Otter---3.3 % Problem : NUM536+2 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : otter-tptp-script %s % Computer : n025.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 : 300s % DateTime : Wed Jul 27 13:08:45 EDT 2022 % Result : Timeout 299.84s 300.02s % Output : None % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : NUM536+2 : TPTP v8.1.0. Released v4.0.0. % 0.12/0.13 % Command : otter-tptp-script %s % 0.13/0.34 % Computer : n025.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 : 300 % 0.13/0.34 % DateTime : Wed Jul 27 09:48:45 EDT 2022 % 0.13/0.34 % CPUTime : % 2.12/2.31 ----- Otter 3.3f, August 2004 ----- % 2.12/2.31 The process was started by sandbox on n025.cluster.edu, % 2.12/2.31 Wed Jul 27 09:48:45 2022 % 2.12/2.31 The command was "./otter". The process ID is 9823. % 2.12/2.31 % 2.12/2.31 set(prolog_style_variables). % 2.12/2.31 set(auto). % 2.12/2.31 dependent: set(auto1). % 2.12/2.31 dependent: set(process_input). % 2.12/2.31 dependent: clear(print_kept). % 2.12/2.31 dependent: clear(print_new_demod). % 2.12/2.31 dependent: clear(print_back_demod). % 2.12/2.31 dependent: clear(print_back_sub). % 2.12/2.31 dependent: set(control_memory). % 2.12/2.31 dependent: assign(max_mem, 12000). % 2.12/2.31 dependent: assign(pick_given_ratio, 4). % 2.12/2.31 dependent: assign(stats_level, 1). % 2.12/2.31 dependent: assign(max_seconds, 10800). % 2.12/2.31 clear(print_given). % 2.12/2.31 % 2.12/2.31 formula_list(usable). % 2.12/2.31 all A (A=A). % 2.12/2.31 all W0 (aSet0(W0)->$T). % 2.12/2.31 all W0 (aElement0(W0)->$T). % 2.12/2.31 all W0 (aSet0(W0)-> (all W1 (aElementOf0(W1,W0)->aElement0(W1)))). % 2.12/2.31 all W0 (aSet0(W0)-> (isFinite0(W0)->$T)). % 2.12/2.31 all W0 (W0=slcrc0<->aSet0(W0)& -(exists W1 aElementOf0(W1,W0))). % 2.12/2.31 isFinite0(slcrc0). % 2.12/2.31 all W0 (aSet0(W0)-> (isCountable0(W0)->$T)). % 2.12/2.31 all W0 (aSet0(W0)&isCountable0(W0)-> -isFinite0(W0)). % 2.12/2.31 all W0 (aSet0(W0)&isCountable0(W0)->W0!=slcrc0). % 2.12/2.31 all W0 (aSet0(W0)-> (all W1 (aSubsetOf0(W1,W0)<->aSet0(W1)& (all W2 (aElementOf0(W2,W1)->aElementOf0(W2,W0)))))). % 2.12/2.31 all W0 (aSet0(W0)&isFinite0(W0)-> (all W1 (aSubsetOf0(W1,W0)->isFinite0(W1)))). % 2.12/2.31 all W0 (aSet0(W0)->aSubsetOf0(W0,W0)). % 2.12/2.31 all W0 W1 (aSet0(W0)&aSet0(W1)-> (aSubsetOf0(W0,W1)&aSubsetOf0(W1,W0)->W0=W1)). % 2.12/2.31 all W0 W1 W2 (aSet0(W0)&aSet0(W1)&aSet0(W2)-> (aSubsetOf0(W0,W1)&aSubsetOf0(W1,W2)->aSubsetOf0(W0,W2))). % 2.12/2.31 all W0 W1 (aSet0(W0)&aElement0(W1)-> (all W2 (W2=sdtpldt0(W0,W1)<->aSet0(W2)& (all W3 (aElementOf0(W3,W2)<->aElement0(W3)& (aElementOf0(W3,W0)|W3=W1)))))). % 2.12/2.31 all W0 W1 (aSet0(W0)&aElement0(W1)-> (all W2 (W2=sdtmndt0(W0,W1)<->aSet0(W2)& (all W3 (aElementOf0(W3,W2)<->aElement0(W3)&aElementOf0(W3,W0)&W3!=W1))))). % 2.12/2.31 all W0 (aSet0(W0)-> (all W1 (aElementOf0(W1,W0)->sdtpldt0(sdtmndt0(W0,W1),W1)=W0))). % 2.12/2.31 aElement0(xx). % 2.12/2.31 aSet0(xS). % 2.12/2.31 -aElementOf0(xx,xS). % 2.12/2.31 -(aSet0(sdtpldt0(xS,xx))& (all W0 (aElementOf0(W0,sdtpldt0(xS,xx))<->aElement0(W0)& (aElementOf0(W0,xS)|W0=xx)))-> (aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))& (all W0 (aElementOf0(W0,sdtmndt0(sdtpldt0(xS,xx),xx))<->aElement0(W0)&aElementOf0(W0,sdtpldt0(xS,xx))&W0!=xx))->sdtmndt0(sdtpldt0(xS,xx),xx)=xS)). % 2.12/2.31 end_of_list. % 2.12/2.31 % 2.12/2.31 -------> usable clausifies to: % 2.12/2.31 % 2.12/2.31 list(usable). % 2.12/2.31 0 [] A=A. % 2.12/2.31 0 [] -aSet0(W0)|$T. % 2.12/2.31 0 [] -aElement0(W0)|$T. % 2.12/2.31 0 [] -aSet0(W0)| -aElementOf0(W1,W0)|aElement0(W1). % 2.12/2.31 0 [] -aSet0(W0)| -isFinite0(W0)|$T. % 2.12/2.31 0 [] W0!=slcrc0|aSet0(W0). % 2.12/2.31 0 [] W0!=slcrc0| -aElementOf0(W1,W0). % 2.12/2.31 0 [] W0=slcrc0| -aSet0(W0)|aElementOf0($f1(W0),W0). % 2.12/2.31 0 [] isFinite0(slcrc0). % 2.12/2.31 0 [] -aSet0(W0)| -isCountable0(W0)|$T. % 2.12/2.31 0 [] -aSet0(W0)| -isCountable0(W0)| -isFinite0(W0). % 2.12/2.31 0 [] -aSet0(W0)| -isCountable0(W0)|W0!=slcrc0. % 2.12/2.31 0 [] -aSet0(W0)| -aSubsetOf0(W1,W0)|aSet0(W1). % 2.12/2.31 0 [] -aSet0(W0)| -aSubsetOf0(W1,W0)| -aElementOf0(W2,W1)|aElementOf0(W2,W0). % 2.12/2.31 0 [] -aSet0(W0)|aSubsetOf0(W1,W0)| -aSet0(W1)|aElementOf0($f2(W0,W1),W1). % 2.12/2.31 0 [] -aSet0(W0)|aSubsetOf0(W1,W0)| -aSet0(W1)| -aElementOf0($f2(W0,W1),W0). % 2.12/2.31 0 [] -aSet0(W0)| -isFinite0(W0)| -aSubsetOf0(W1,W0)|isFinite0(W1). % 2.12/2.31 0 [] -aSet0(W0)|aSubsetOf0(W0,W0). % 2.12/2.31 0 [] -aSet0(W0)| -aSet0(W1)| -aSubsetOf0(W0,W1)| -aSubsetOf0(W1,W0)|W0=W1. % 2.12/2.31 0 [] -aSet0(W0)| -aSet0(W1)| -aSet0(W2)| -aSubsetOf0(W0,W1)| -aSubsetOf0(W1,W2)|aSubsetOf0(W0,W2). % 2.12/2.31 0 [] -aSet0(W0)| -aElement0(W1)|W2!=sdtpldt0(W0,W1)|aSet0(W2). % 2.12/2.31 0 [] -aSet0(W0)| -aElement0(W1)|W2!=sdtpldt0(W0,W1)| -aElementOf0(W3,W2)|aElement0(W3). % 2.12/2.31 0 [] -aSet0(W0)| -aElement0(W1)|W2!=sdtpldt0(W0,W1)| -aElementOf0(W3,W2)|aElementOf0(W3,W0)|W3=W1. % 2.12/2.31 0 [] -aSet0(W0)| -aElement0(W1)|W2!=sdtpldt0(W0,W1)|aElementOf0(W3,W2)| -aElement0(W3)| -aElementOf0(W3,W0). % 2.12/2.31 0 [] -aSet0(W0)| -aElement0(W1)|W2!=sdtpldt0(W0,W1)|aElementOf0(W3,W2)| -aElement0(W3)|W3!=W1. % 2.12/2.31 0 [] -aSet0(W0)| -aElement0(W1)|W2=sdtpldt0(W0,W1)| -aSet0(W2)|aElementOf0($f3(W0,W1,W2),W2)|aElement0($f3(W0,W1,W2)). % 2.12/2.31 0 [] -aSet0(W0)| -aElement0(W1)|W2=sdtpldt0(W0,W1)| -aSet0(W2)|aElementOf0($f3(W0,W1,W2),W2)|aElementOf0($f3(W0,W1,W2),W0)|$f3(W0,W1,W2)=W1. % 2.12/2.31 0 [] -aSet0(W0)| -aElement0(W1)|W2=sdtpldt0(W0,W1)| -aSet0(W2)| -aElementOf0($f3(W0,W1,W2),W2)| -aElement0($f3(W0,W1,W2))| -aElementOf0($f3(W0,W1,W2),W0). % 2.12/2.31 0 [] -aSet0(W0)| -aElement0(W1)|W2=sdtpldt0(W0,W1)| -aSet0(W2)| -aElementOf0($f3(W0,W1,W2),W2)| -aElement0($f3(W0,W1,W2))|$f3(W0,W1,W2)!=W1. % 2.12/2.31 0 [] -aSet0(W0)| -aElement0(W1)|W2!=sdtmndt0(W0,W1)|aSet0(W2). % 2.12/2.31 0 [] -aSet0(W0)| -aElement0(W1)|W2!=sdtmndt0(W0,W1)| -aElementOf0(W3,W2)|aElement0(W3). % 2.12/2.31 0 [] -aSet0(W0)| -aElement0(W1)|W2!=sdtmndt0(W0,W1)| -aElementOf0(W3,W2)|aElementOf0(W3,W0). % 2.12/2.31 0 [] -aSet0(W0)| -aElement0(W1)|W2!=sdtmndt0(W0,W1)| -aElementOf0(W3,W2)|W3!=W1. % 2.12/2.31 0 [] -aSet0(W0)| -aElement0(W1)|W2!=sdtmndt0(W0,W1)|aElementOf0(W3,W2)| -aElement0(W3)| -aElementOf0(W3,W0)|W3=W1. % 2.12/2.31 0 [] -aSet0(W0)| -aElement0(W1)|W2=sdtmndt0(W0,W1)| -aSet0(W2)|aElementOf0($f4(W0,W1,W2),W2)|aElement0($f4(W0,W1,W2)). % 2.12/2.31 0 [] -aSet0(W0)| -aElement0(W1)|W2=sdtmndt0(W0,W1)| -aSet0(W2)|aElementOf0($f4(W0,W1,W2),W2)|aElementOf0($f4(W0,W1,W2),W0). % 2.12/2.31 0 [] -aSet0(W0)| -aElement0(W1)|W2=sdtmndt0(W0,W1)| -aSet0(W2)|aElementOf0($f4(W0,W1,W2),W2)|$f4(W0,W1,W2)!=W1. % 2.12/2.31 0 [] -aSet0(W0)| -aElement0(W1)|W2=sdtmndt0(W0,W1)| -aSet0(W2)| -aElementOf0($f4(W0,W1,W2),W2)| -aElement0($f4(W0,W1,W2))| -aElementOf0($f4(W0,W1,W2),W0)|$f4(W0,W1,W2)=W1. % 2.12/2.31 0 [] -aSet0(W0)| -aElementOf0(W1,W0)|sdtpldt0(sdtmndt0(W0,W1),W1)=W0. % 2.12/2.31 0 [] aElement0(xx). % 2.12/2.31 0 [] aSet0(xS). % 2.12/2.31 0 [] -aElementOf0(xx,xS). % 2.12/2.31 0 [] aSet0(sdtpldt0(xS,xx)). % 2.12/2.31 0 [] -aElementOf0(W0,sdtpldt0(xS,xx))|aElement0(W0). % 2.12/2.31 0 [] -aElementOf0(W0,sdtpldt0(xS,xx))|aElementOf0(W0,xS)|W0=xx. % 2.12/2.31 0 [] aElementOf0(W0,sdtpldt0(xS,xx))| -aElement0(W0)| -aElementOf0(W0,xS). % 2.12/2.31 0 [] aElementOf0(W0,sdtpldt0(xS,xx))| -aElement0(W0)|W0!=xx. % 2.12/2.31 0 [] aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)). % 2.12/2.31 0 [] -aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))|aElement0(X1). % 2.12/2.31 0 [] -aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))|aElementOf0(X1,sdtpldt0(xS,xx)). % 2.12/2.31 0 [] -aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))|X1!=xx. % 2.12/2.31 0 [] aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))| -aElement0(X1)| -aElementOf0(X1,sdtpldt0(xS,xx))|X1=xx. % 2.12/2.31 0 [] sdtmndt0(sdtpldt0(xS,xx),xx)!=xS. % 2.12/2.31 end_of_list. % 2.12/2.31 % 2.12/2.31 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=8. % 2.12/2.31 % 2.12/2.31 This ia a non-Horn set with equality. The strategy will be % 2.12/2.31 Knuth-Bendix, ordered hyper_res, factoring, and unit % 2.12/2.31 deletion, with positive clauses in sos and nonpositive % 2.12/2.31 clauses in usable. % 2.12/2.31 % 2.12/2.31 dependent: set(knuth_bendix). % 2.12/2.31 dependent: set(anl_eq). % 2.12/2.31 dependent: set(para_from). % 2.12/2.31 dependent: set(para_into). % 2.12/2.31 dependent: clear(para_from_right). % 2.12/2.31 dependent: clear(para_into_right). % 2.12/2.31 dependent: set(para_from_vars). % 2.12/2.31 dependent: set(eq_units_both_ways). % 2.12/2.31 dependent: set(dynamic_demod_all). % 2.12/2.31 dependent: set(dynamic_demod). % 2.12/2.31 dependent: set(order_eq). % 2.12/2.31 dependent: set(back_demod). % 2.12/2.31 dependent: set(lrpo). % 2.12/2.31 dependent: set(hyper_res). % 2.12/2.31 dependent: set(unit_deletion). % 2.12/2.31 dependent: set(factor). % 2.12/2.31 % 2.12/2.31 ------------> process usable: % 2.12/2.31 ** KEPT (pick-wt=7): 1 [] -aSet0(A)| -aElementOf0(B,A)|aElement0(B). % 2.12/2.31 ** KEPT (pick-wt=5): 2 [] A!=slcrc0|aSet0(A). % 2.12/2.31 ** KEPT (pick-wt=6): 3 [] A!=slcrc0| -aElementOf0(B,A). % 2.12/2.31 ** KEPT (pick-wt=9): 4 [] A=slcrc0| -aSet0(A)|aElementOf0($f1(A),A). % 2.12/2.31 ** KEPT (pick-wt=6): 5 [] -aSet0(A)| -isCountable0(A)| -isFinite0(A). % 2.12/2.31 ** KEPT (pick-wt=7): 6 [] -aSet0(A)| -isCountable0(A)|A!=slcrc0. % 2.12/2.31 ** KEPT (pick-wt=7): 7 [] -aSet0(A)| -aSubsetOf0(B,A)|aSet0(B). % 2.12/2.31 ** KEPT (pick-wt=11): 8 [] -aSet0(A)| -aSubsetOf0(B,A)| -aElementOf0(C,B)|aElementOf0(C,A). % 2.12/2.31 ** KEPT (pick-wt=12): 9 [] -aSet0(A)|aSubsetOf0(B,A)| -aSet0(B)|aElementOf0($f2(A,B),B). % 2.12/2.31 ** KEPT (pick-wt=12): 10 [] -aSet0(A)|aSubsetOf0(B,A)| -aSet0(B)| -aElementOf0($f2(A,B),A). % 2.12/2.31 ** KEPT (pick-wt=9): 11 [] -aSet0(A)| -isFinite0(A)| -aSubsetOf0(B,A)|isFinite0(B). % 2.12/2.31 ** KEPT (pick-wt=5): 12 [] -aSet0(A)|aSubsetOf0(A,A). % 2.12/2.31 ** KEPT (pick-wt=13): 13 [] -aSet0(A)| -aSet0(B)| -aSubsetOf0(A,B)| -aSubsetOf0(B,A)|A=B. % 2.12/2.31 ** KEPT (pick-wt=15): 14 [] -aSet0(A)| -aSet0(B)| -aSet0(C)| -aSubsetOf0(A,B)| -aSubsetOf0(B,C)|aSubsetOf0(A,C). % 2.12/2.31 ** KEPT (pick-wt=11): 15 [] -aSet0(A)| -aElement0(B)|C!=sdtpldt0(A,B)|aSet0(C). % 2.12/2.31 ** KEPT (pick-wt=14): 16 [] -aSet0(A)| -aElement0(B)|C!=sdtpldt0(A,B)| -aElementOf0(D,C)|aElement0(D). % 2.12/2.31 ** KEPT (pick-wt=18): 17 [] -aSet0(A)| -aElement0(B)|C!=sdtpldt0(A,B)| -aElementOf0(D,C)|aElementOfAlarm clock % 299.84/300.02 Otter interrupted % 299.84/300.02 PROOF NOT FOUND %------------------------------------------------------------------------------