TSTP Solution File: SYN170-10 by Waldmeister---710
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- Process Solution
%------------------------------------------------------------------------------
% File : Waldmeister---710
% Problem : SYN170-10 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : woody %s
% Computer : n004.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 13:30:24 EDT 2022
% Result : Unsatisfiable 0.74s 1.15s
% Output : CNFRefutation 0.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN170-10 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.12 % Command : woody %s
% 0.12/0.33 % Computer : n004.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 : Mon Jul 11 18:50:37 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.70/1.11 ********************************************************************************
% 0.70/1.11 * W A L D M E I S T E R \| \ / \|/ *
% 0.70/1.11 * |/ | \/ | *
% 0.70/1.11 * (C) 1994-2010 A. Buch and Th. Hillenbrand, \ / \ / *
% 0.70/1.11 * A. Jaeger and B. Loechner | | *
% 0.70/1.11 * <waldmeister@informatik.uni-kl.de> | *
% 0.70/1.11 ********************************************************************************
% 0.70/1.11
% 0.70/1.11
% 0.70/1.11 Goals:
% 0.70/1.11 ------
% 0.70/1.11
% 0.70/1.11 ( 1) true1 ?= false
% 0.70/1.11 using narrowing to prove true ?= p4(x2,c,x1)
% 0.70/1.11
% 0.70/1.11 Detected structure: Orkus
% 0.70/1.11 ********************************************************************************
% 0.70/1.11 ****************************** COMPLETION - PROOF ******************************
% 0.70/1.11 ********************************************************************************
% 0.70/1.11
% 0.74/1.15 joined goal: 1 true ?= p4(x2,c,x1) to false
% 0.74/1.15 goal joined
% 0.74/1.15 % SZS status Unsatisfiable
% 0.74/1.15 #START OF PROOF
% 0.74/1.15 % SZS output start CNFRefutation
% 0.74/1.15 cnf('0.1.0.0',axiom,
% 0.74/1.15 ( X1 = ifeq(X2,X2,X1,X3) ),
% 0.74/1.15 file('/tmp/WALDMEISTER_19550_n004')).
% 0.74/1.15 cnf('0.1.1.0',plain,
% 0.74/1.15 ( X1 = ifeq(X2,X2,X1,X3) ),
% 0.74/1.15 inference(weigh,[status(thm)],['0.1.0.0']),
% 0.74/1.15 [weight('<0,0,0,[0,0,0,1]>')]).
% 0.74/1.15 cnf('0.1.2.0',plain,
% 0.74/1.15 ( ifeq(X1,X1,X2,X3) = X2 ),
% 0.74/1.15 inference(orient,[status(thm)],['0.1.1.0',theory(equality)]),
% 0.74/1.15 [x,rule_1]).
% 0.74/1.15 cnf('0.76.0.0',axiom,
% 0.74/1.15 ( true = ifeq(p1(X1,X2,X3),true,n2(X3),true) ),
% 0.74/1.15 file('/tmp/WALDMEISTER_19550_n004')).
% 0.74/1.15 cnf('0.76.1.0',plain,
% 0.74/1.15 ( true = ifeq(p1(X1,X2,X3),true,n2(X3),true) ),
% 0.74/1.15 inference(weigh,[status(thm)],['0.76.0.0']),
% 0.74/1.15 [weight('<79,0,0,[0,0,0,80]>')]).
% 0.74/1.15 cnf('0.76.2.0',plain,
% 0.74/1.15 ( ifeq(p1(X1,X2,X3),true,n2(X3),true) = true ),
% 0.74/1.15 inference(orient,[status(thm)],['0.76.1.0',theory(equality)]),
% 0.74/1.15 [x,rule_76]).
% 0.74/1.15 cnf('0.96.0.0',axiom,
% 0.74/1.15 ( true = ifeq(p0(X1,X2),true,p1(X2,X2,X2),true) ),
% 0.74/1.15 file('/tmp/WALDMEISTER_19550_n004')).
% 0.74/1.15 cnf('0.96.1.0',plain,
% 0.74/1.15 ( true = ifeq(p0(X1,X2),true,p1(X2,X2,X2),true) ),
% 0.74/1.15 inference(weigh,[status(thm)],['0.96.0.0']),
% 0.74/1.15 [weight('<99,0,0,[0,0,0,100]>')]).
% 0.74/1.15 cnf('0.96.2.0',plain,
% 0.74/1.15 ( ifeq(p0(X1,X2),true,p1(X2,X2,X2),true) = true ),
% 0.74/1.15 inference(orient,[status(thm)],['0.96.1.0',theory(equality)]),
% 0.74/1.15 [x,rule_96]).
% 0.74/1.15 cnf('0.125.0.0',axiom,
% 0.74/1.15 ( true = ifeq(k3(X1,X1,X2),true,p4(X1,X2,X1),true) ),
% 0.74/1.15 file('/tmp/WALDMEISTER_19550_n004')).
% 0.74/1.15 cnf('0.125.1.0',plain,
% 0.74/1.15 ( true = ifeq(k3(X1,X1,X2),true,p4(X1,X2,X1),true) ),
% 0.74/1.15 inference(weigh,[status(thm)],['0.125.0.0']),
% 0.74/1.15 [weight('<132,0,0,[0,0,0,133]>')]).
% 0.74/1.15 cnf('0.125.2.0',plain,
% 0.74/1.15 ( ifeq(k3(X1,X1,X2),true,p4(X1,X2,X1),true) = true ),
% 0.74/1.15 inference(orient,[status(thm)],['0.125.1.0',theory(equality)]),
% 0.74/1.15 [x,rule_125]).
% 0.74/1.15 cnf('0.250.0.0',axiom,
% 0.74/1.15 ( true = ifeq(n2(X1),true,k3(X1,X1,X1),true) ),
% 0.74/1.15 file('/tmp/WALDMEISTER_19550_n004')).
% 0.74/1.15 cnf('0.250.1.0',plain,
% 0.74/1.15 ( true = ifeq(n2(X1),true,k3(X1,X1,X1),true) ),
% 0.74/1.15 inference(weigh,[status(thm)],['0.250.0.0']),
% 0.74/1.15 [weight('<260,0,0,[0,0,0,261]>')]).
% 0.74/1.15 cnf('0.250.2.0',plain,
% 0.74/1.15 ( ifeq(n2(X1),true,k3(X1,X1,X1),true) = true ),
% 0.74/1.15 inference(orient,[status(thm)],['0.250.1.0',theory(equality)]),
% 0.74/1.15 [x,rule_250]).
% 0.74/1.15 cnf('0.322.0.0',axiom,
% 0.74/1.15 ( true = p0(b,X1) ),
% 0.74/1.15 file('/tmp/WALDMEISTER_19550_n004')).
% 0.74/1.15 cnf('0.322.1.0',plain,
% 0.74/1.15 ( true = p0(b,X1) ),
% 0.74/1.15 inference(weigh,[status(thm)],['0.322.0.0']),
% 0.74/1.15 [weight('<334,0,0,[0,0,0,335]>')]).
% 0.74/1.15 cnf('0.322.2.0',plain,
% 0.74/1.15 ( p0(b,X1) = true ),
% 0.74/1.15 inference(orient,[status(thm)],['0.322.1.0',theory(equality)]),
% 0.74/1.15 [x,rule_322]).
% 0.74/1.15 cnf('0.346.0.0',axiom,
% 0.74/1.15 ( eq(X1,X1) = true1 ),
% 0.74/1.15 file('/tmp/WALDMEISTER_19550_n004')).
% 0.74/1.15 cnf('0.346.1.0',plain,
% 0.74/1.15 ( eq(X1,X1) = true1 ),
% 0.74/1.15 inference(weigh,[status(thm)],['0.346.0.0']),
% 0.74/1.15 [weight('<362,0,0,[0,0,0,363]>')]).
% 0.74/1.15 cnf('0.346.2.0',plain,
% 0.74/1.15 ( eq(X1,X1) = true1 ),
% 0.74/1.15 inference(orient,[status(thm)],['0.346.1.0',theory(equality)]),
% 0.74/1.15 [u,rule_346]).
% 0.74/1.15 cnf('0.347.0.0',axiom,
% 0.74/1.15 ( eq(true,p4(X2,c,X1)) = false ),
% 0.74/1.15 file('/tmp/WALDMEISTER_19550_n004')).
% 0.74/1.15 cnf('0.347.1.0',plain,
% 0.74/1.15 ( eq(true,p4(X2,c,X1)) = false ),
% 0.74/1.15 inference(weigh,[status(thm)],['0.347.0.0']),
% 0.74/1.15 [weight('<363,0,0,[0,0,0,364]>')]).
% 0.74/1.15 cnf('0.347.2.0',plain,
% 0.74/1.15 ( eq(true,p4(X1,c,X2)) = false ),
% 0.74/1.15 inference(orient,[status(thm)],['0.347.1.0',theory(equality)]),
% 0.74/1.15 [u,rule_347]).
% 0.74/1.15 cnf('0.384.0.0',plain,
% 0.74/1.15 ( true = ifeq(true,true,p1(X1,X1,X1),true) ),
% 0.74/1.15 inference(cp,[status(thm)],['0.96.2.0','0.322.2.0',theory(equality)]),
% 0.74/1.15 [pos('L.1','L')]).
% 0.74/1.15 cnf('0.384.0.1',plain,
% 0.74/1.15 ( true = p1(X1,X1,X1) ),
% 0.74/1.15 inference(reduction,[status(thm)],['0.384.0.0','0.1.2.0',theory(equality)]),
% 0.74/1.15 [pos('R','L')]).
% 0.74/1.15 cnf('0.384.1.0',plain,
% 0.74/1.15 ( true = p1(X1,X1,X1) ),
% 0.74/1.15 inference(weigh,[status(thm)],['0.384.0.1']),
% 0.74/1.15 [weight('<29,322,96,[0,0,0,1]>')]).
% 0.74/1.15 cnf('0.384.2.0',plain,
% 0.74/1.15 ( p1(X1,X1,X1) = true ),
% 0.74/1.15 inference(orient,[status(thm)],['0.384.1.0',theory(equality)]),
% 0.74/1.15 [x,rule_384]).
% 0.74/1.15 cnf('0.385.0.0',plain,
% 0.74/1.15 ( true = ifeq(true,true,n2(X1),true) ),
% 0.74/1.15 inference(cp,[status(thm)],['0.76.2.0','0.384.2.0',theory(equality)]),
% 0.74/1.15 [pos('L.1','L')]).
% 0.74/1.15 cnf('0.385.0.1',plain,
% 0.74/1.15 ( true = n2(X1) ),
% 0.74/1.15 inference(reduction,[status(thm)],['0.385.0.0','0.1.2.0',theory(equality)]),
% 0.74/1.15 [pos('R','L')]).
% 0.74/1.15 cnf('0.385.1.0',plain,
% 0.74/1.15 ( true = n2(X1) ),
% 0.74/1.15 inference(weigh,[status(thm)],['0.385.0.1']),
% 0.74/1.15 [weight('<11,384,76,[0,0,0,1]>')]).
% 0.74/1.15 cnf('0.385.2.0',plain,
% 0.74/1.15 ( n2(X1) = true ),
% 0.74/1.15 inference(orient,[status(thm)],['0.385.1.0',theory(equality)]),
% 0.74/1.15 [x,rule_385]).
% 0.74/1.15 cnf('0.387.0.0',plain,
% 0.74/1.15 ( ifeq(n2(X1),true,k3(X1,X1,X1),true) = true ),
% 0.74/1.15 inference(interreduction_right,[status(thm)],['0.250.2.0'])).
% 0.74/1.15 cnf('0.387.0.1',plain,
% 0.74/1.15 ( ifeq(true,true,k3(X1,X1,X1),true) = true ),
% 0.74/1.15 inference(reduction,[status(thm)],['0.387.0.0','0.385.2.0',theory(equality)]),
% 0.74/1.15 [pos('L.1','L')]).
% 0.74/1.15 cnf('0.387.0.2',plain,
% 0.74/1.15 ( k3(X1,X1,X1) = true ),
% 0.74/1.15 inference(reduction,[status(thm)],['0.387.0.1','0.1.2.0',theory(equality)]),
% 0.74/1.15 [pos('L','L')]).
% 0.74/1.15 cnf('0.387.1.0',plain,
% 0.74/1.15 ( k3(X1,X1,X1) = true ),
% 0.74/1.15 inference(weigh,[status(thm)],['0.387.0.2']),
% 0.74/1.15 [weight('<29,250,385,[0,0,0,0]>')]).
% 0.74/1.15 cnf('0.387.2.0',plain,
% 0.74/1.15 ( k3(X1,X1,X1) = true ),
% 0.74/1.15 inference(orient,[status(thm)],['0.387.1.0',theory(equality)]),
% 0.74/1.15 [u,rule_387]).
% 0.74/1.15 cnf('0.403.0.0',plain,
% 0.74/1.15 ( true = ifeq(true,true,p4(X1,X1,X1),true) ),
% 0.74/1.15 inference(cp,[status(thm)],['0.125.2.0','0.387.2.0',theory(equality)]),
% 0.74/1.15 [pos('L.1','L')]).
% 0.74/1.15 cnf('0.403.0.1',plain,
% 0.74/1.15 ( true = p4(X1,X1,X1) ),
% 0.74/1.15 inference(reduction,[status(thm)],['0.403.0.0','0.1.2.0',theory(equality)]),
% 0.74/1.15 [pos('R','L')]).
% 0.74/1.15 cnf('0.403.1.0',plain,
% 0.74/1.15 ( true = p4(X1,X1,X1) ),
% 0.74/1.15 inference(weigh,[status(thm)],['0.403.0.1']),
% 0.74/1.15 [weight('<29,387,125,[0,0,0,1]>')]).
% 0.74/1.15 cnf('0.403.2.0',plain,
% 0.74/1.15 ( p4(X1,X1,X1) = true ),
% 0.74/1.15 inference(orient,[status(thm)],['0.403.1.0',theory(equality)]),
% 0.74/1.15 [x,rule_403]).
% 0.74/1.15 cnf('0.404.0.0',plain,
% 0.74/1.15 ( false = eq(true,true) ),
% 0.74/1.15 inference(cp,[status(thm)],['0.347.2.0','0.403.2.0',theory(equality)]),
% 0.74/1.15 [pos('L.2','L')]).
% 0.74/1.15 cnf('0.404.0.1',plain,
% 0.74/1.15 ( false = true1 ),
% 0.74/1.15 inference(reduction,[status(thm)],['0.404.0.0','0.346.2.0',theory(equality)]),
% 0.74/1.15 [pos('R','L')]).
% 0.74/1.15 cnf('0.404.1.0',plain,
% 0.74/1.15 ( false = true1 ),
% 0.74/1.15 inference(weigh,[status(thm)],['0.404.0.1']),
% 0.74/1.15 [weight('<5,403,347,[0,0,0,2]>')]).
% 0.74/1.15 cnf('0.404.2.0',plain,
% 0.74/1.15 ( true1 = false ),
% 0.74/1.15 inference(orient,[status(thm)],['0.404.1.0',theory(equality)]),
% 0.74/1.15 [x,rule_404]).
% 0.74/1.15 cnf('1.0.0.0',conjecture,
% 0.74/1.15 ( true1 = false ),
% 0.74/1.15 file('/tmp/WALDMEISTER_19550_n004',conjecture_1)).
% 0.74/1.15 cnf('1.0.0.1',plain,
% 0.74/1.15 ( false = false ),
% 0.74/1.15 inference(reduction,[status(thm)],['1.0.0.0','0.404.2.0',theory(equality)]),
% 0.74/1.15 [pos('L','L')]).
% 0.74/1.15 cnf('1.0.0.2',plain,
% 0.74/1.15 ( $true ),
% 0.74/1.15 inference(trivial,[status(thm)],['1.0.0.1',theory(equality)]),
% 0.74/1.15 [conjecture_1]).
% 0.74/1.15
% 0.74/1.15 Proved Goals:
% 0.74/1.15 No. 1: true ?= false, current false ?= false
% 0.74/1.15 using narrowing to prove true ?= p4(x2,c,x1)
% 0.74/1.15
% 0.74/1.15 1 goal was specified, which was proved.
% 0.74/1.15 % SZS output end CNFRefutation
% 0.74/1.15 #END OF PROOF
% 0.74/1.15
% 0.74/1.15 Problem WALDMEISTER_19550_n004
% 0.74/1.15 CPs.gen 1389
% 0.74/1.15 CPs.reexp 0
% 0.74/1.15 Select 444
% 0.74/1.15 R 404
% 0.74/1.15 E 0
% 0.74/1.15 vsize 8.0M
% 0.74/1.15 rss 5.3M
% 0.74/1.15 process.time 0.046s
% 0.74/1.15 wallclock.time 0.046s
% 0.74/1.15 status S
% 0.74/1.15
% 0.74/1.15
% 0.74/1.15 Waldmeister states: Goal proved.
% 0.74/1.15 % SZS status Unsatisfiable
%------------------------------------------------------------------------------