0.06/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.14 % Command : run_portfolio.sh /export/starexec/sandbox2/benchmark/theBenchmark.p /export/starexec/sandbox2/tmp/tmp.q0awOJuRvr 0.13/0.33 % Computer : n013.cluster.edu 0.13/0.33 % Model : x86_64 x86_64 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.33 % Memory : 8042.1875MB 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.33 % CPULimit : 960 0.13/0.33 % DateTime : Thu Jul 2 08:06:19 EDT 2020 0.13/0.33 % CPUTime : 0.13/0.33 % Running portfolio for 120 s 0.13/0.33 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.13/0.34 % Number of cores: 8 0.13/0.34 % Python version: Python 3.6.8 0.13/0.34 % Running in FO mode 0.51/0.75 % Running /export/starexec/sandbox2/solver/bin/fo/fo7.sh for 25 0.51/0.75 % Solved by: fo/fo7.sh 0.51/0.75 To remain in the chosen logic fragment, unification with booleans has been disabled. 0.51/0.75 % done 551 iterations in 0.338s 0.51/0.75 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 0.51/0.75 % SZS output start Refutation 0.51/0.75 tff('qu(cond(axiom(51), 0), imp(cond(axiom(51), 0)))', axiom, 0.51/0.75 (![Vd217,Vd218]: 0.51/0.75 (((Vd218 != Vd217) & (?[Vd221]: ((Vd221 = Vd218) & rpoint(Vd221))) & 0.51/0.75 (?[Vd220]: (rpoint(Vd220) & (Vd220 = Vd217)))) => 0.51/0.75 (?[Vd223]: (ron(Vd217,Vd223) & rline(Vd223) & ron(Vd218,Vd223)))))). 0.51/0.75 tff('0', plain, 0.51/0.75 ![X393, X394, X395, X396]: 0.51/0.75 (X394 != X393 0.51/0.75 | ~ rpoint(X394) 0.51/0.75 | X395 = X393 0.51/0.75 | X396 != X395 0.51/0.75 | ~ rpoint(X396) 0.51/0.75 | rline(sk_Vd223(X395, X393))), 0.51/0.75 inference('cnf', [status(esa)], 0.51/0.75 [qu(cond(axiom(51), 0), imp(cond(axiom(51), 0)))])). 0.51/0.75 tff('1', plain, 0.51/0.75 ![X393, X395]: 0.51/0.75 ( rline(sk_Vd223(X395, X393)) 0.51/0.75 | ~ rpoint(X395) 0.51/0.75 | X395 = X393 0.51/0.75 | ~ rpoint(X393)), 0.51/0.75 inference('simplify', [status(thm)], ['0'])). 0.51/0.75 tff('2', plain, 0.51/0.75 ![X393, X394, X395, X396]: 0.51/0.75 (X394 != X393 0.51/0.75 | ~ rpoint(X394) 0.51/0.75 | X395 = X393 0.51/0.75 | X396 != X395 0.51/0.75 | ~ rpoint(X396) 0.51/0.75 | ron(X395, sk_Vd223(X395, X393))), 0.51/0.75 inference('cnf', [status(esa)], 0.51/0.75 [qu(cond(axiom(51), 0), imp(cond(axiom(51), 0)))])). 0.51/0.75 tff('3', plain, 0.51/0.75 ![X393, X395]: 0.51/0.75 ( ron(X395, sk_Vd223(X395, X393)) 0.51/0.75 | ~ rpoint(X395) 0.51/0.75 | X395 = X393 0.51/0.75 | ~ rpoint(X393)), 0.51/0.75 inference('simplify', [status(thm)], ['2'])). 0.51/0.75 tff('4', plain, 0.51/0.75 ![X393, X394, X395, X396]: 0.51/0.75 (X394 != X393 0.51/0.75 | ~ rpoint(X394) 0.51/0.75 | X395 = X393 0.51/0.75 | X396 != X395 0.51/0.75 | ~ rpoint(X396) 0.51/0.75 | ron(X393, sk_Vd223(X395, X393))), 0.51/0.75 inference('cnf', [status(esa)], 0.51/0.75 [qu(cond(axiom(51), 0), imp(cond(axiom(51), 0)))])). 0.51/0.75 tff('5', plain, 0.51/0.75 ![X393, X395]: 0.51/0.75 ( ron(X393, sk_Vd223(X395, X393)) 0.51/0.75 | ~ rpoint(X395) 0.51/0.75 | X395 = X393 0.51/0.75 | ~ rpoint(X393)), 0.51/0.75 inference('simplify', [status(thm)], ['4'])). 0.51/0.75 tff(qe(259), conjecture, 0.51/0.75 (?[Vd1151,Vd1152]: 0.51/0.75 (ron(vd1127,Vd1152) & ron(vd1125,Vd1151) & ron(vd1123,Vd1151) & 0.51/0.75 rline(Vd1151) & rcircle(Vd1152) & rcenter(vd1123,Vd1152)))). 0.51/0.75 tff(zf_stmt_0, negated_conjecture, 0.51/0.75 (~ 0.51/0.75 (?[Vd1151,Vd1152]: 0.51/0.75 (ron(vd1127,Vd1152) & ron(vd1125,Vd1151) & ron(vd1123,Vd1151) & 0.51/0.75 rline(Vd1151) & rcircle(Vd1152) & rcenter(vd1123,Vd1152))))). 0.51/0.75 tff('6', plain, 0.51/0.75 ![X70, X71]: 0.51/0.75 (~ ron(vd1125, X70) 0.51/0.75 | ~ ron(vd1123, X70) 0.51/0.75 | ~ rline(X70) 0.51/0.75 | ~ rcenter(vd1123, X71) 0.51/0.75 | ~ rcircle(X71) 0.51/0.75 | ~ ron(vd1127, X71)), 0.51/0.75 inference('cnf', [status(esa)], [zf_stmt_0])). 0.51/0.75 tff('7', plain, 0.51/0.75 (![X70]: (~ ron(vd1125, X70) | ~ ron(vd1123, X70) | ~ rline(X70))) 0.51/0.75 <= ((![X70]: (~ ron(vd1125, X70) | ~ ron(vd1123, X70) | ~ rline(X70)))), 0.51/0.75 inference('split', [status(esa)], ['6'])). 0.51/0.75 tff('and(and(and(and(holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1133, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1132, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(242))))), 1131, 0), and(pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 2), pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 1))))), and(pred(conjunct1(conjunct2(conjunct2(242))), 2), pred(conjunct1(conjunct2(conjunct2(242))), 1))), and(pred(conjunct1(conjunct2(242)), 2), pred(conjunct1(conjunct2(242)), 1))), and(pred(conjunct1(242), 2), pred(conjunct1(242), 1)))', axiom, 0.51/0.75 (rless(vf(vd1127,vd1129),vf(vd1123,vd1125)) & (vd1123 != vd1125) & 0.51/0.75 (vd1127 = vd1128) & rpoint(vd1128) & (vd1125 = vd1126) & rpoint(vd1126) & 0.51/0.75 (vd1123 = vd1124) & rpoint(vd1124) & rpoint(vd1130) & (vd1130 = vd1129) & 0.51/0.75 (vd1127 != vd1129))). 0.51/0.75 tff('8', plain, vd1125 = vd1126, 0.51/0.75 inference('cnf', [status(esa)], 0.51/0.75 [and(and(and(and(holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1133, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1132, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(242))))), 1131, 0), and(pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 2), pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 1))))), and(pred(conjunct1(conjunct2(conjunct2(242))), 2), pred(conjunct1(conjunct2(conjunct2(242))), 1))), and(pred(conjunct1(conjunct2(242)), 2), pred(conjunct1(conjunct2(242)), 1))), and(pred(conjunct1(242), 2), pred(conjunct1(242), 1)))])). 0.51/0.75 tff('holds(258, 1150, 0)', axiom, (vd1129 = vd1123)). 0.51/0.75 tff('9', plain, vd1129 = vd1123, 0.51/0.75 inference('cnf', [status(esa)], [holds(258, 1150, 0)])). 0.51/0.75 tff('10', plain, vd1130 = vd1129, 0.51/0.75 inference('cnf', [status(esa)], 0.51/0.75 [and(and(and(and(holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1133, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1132, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(242))))), 1131, 0), and(pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 2), pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 1))))), and(pred(conjunct1(conjunct2(conjunct2(242))), 2), pred(conjunct1(conjunct2(conjunct2(242))), 1))), and(pred(conjunct1(conjunct2(242)), 2), pred(conjunct1(conjunct2(242)), 1))), and(pred(conjunct1(242), 2), pred(conjunct1(242), 1)))])). 0.51/0.75 tff('11', plain, vd1130 = vd1123, 0.51/0.75 inference('demod', [status(thm)], ['9', '10'])). 0.51/0.75 tff('12', plain, 0.51/0.75 (![X70]: (~ ron(vd1126, X70) | ~ ron(vd1130, X70) | ~ rline(X70))) 0.51/0.75 <= ((![X70]: (~ ron(vd1125, X70) | ~ ron(vd1123, X70) | ~ rline(X70)))), 0.51/0.75 inference('demod', [status(thm)], ['7', '8', '11'])). 0.51/0.75 tff('qu(cond(axiom(53), 0), imp(cond(axiom(53), 0)))', axiom, 0.51/0.75 (![Vd225,Vd226]: 0.51/0.75 (((?[Vd230]: (rpoint(Vd230) & (Vd226 = Vd230))) & 0.51/0.75 (?[Vd229]: ((Vd225 = Vd229) & rpoint(Vd229))) & (Vd225 != Vd226)) => 0.51/0.75 (?[Vd231]: (rcircle(Vd231) & rcenter(Vd225,Vd231) & ron(Vd226,Vd231)))))). 0.51/0.75 tff('13', plain, 0.51/0.75 ![X363, X364, X365, X366]: 0.51/0.75 (~ rpoint(X363) 0.51/0.75 | X364 != X363 0.51/0.75 | ~ rpoint(X365) 0.51/0.75 | X366 != X365 0.51/0.75 | X364 = X366 0.51/0.75 | rcircle(sk_Vd231(X366, X364))), 0.51/0.75 inference('cnf', [status(esa)], 0.51/0.75 [qu(cond(axiom(53), 0), imp(cond(axiom(53), 0)))])). 0.51/0.75 tff('14', plain, 0.51/0.75 ![X363, X365]: 0.51/0.75 ( rcircle(sk_Vd231(X365, X363)) 0.51/0.75 | X363 = X365 0.51/0.75 | ~ rpoint(X365) 0.51/0.75 | ~ rpoint(X363)), 0.51/0.75 inference('simplify', [status(thm)], ['13'])). 0.51/0.75 tff('15', plain, 0.51/0.75 ![X363, X364, X365, X366]: 0.51/0.75 (~ rpoint(X363) 0.51/0.75 | X364 != X363 0.51/0.75 | ~ rpoint(X365) 0.51/0.75 | X366 != X365 0.51/0.75 | X364 = X366 0.51/0.75 | ron(X366, sk_Vd231(X366, X364))), 0.51/0.75 inference('cnf', [status(esa)], 0.51/0.75 [qu(cond(axiom(53), 0), imp(cond(axiom(53), 0)))])). 0.51/0.75 tff('16', plain, 0.51/0.75 ![X363, X365]: 0.51/0.75 ( ron(X365, sk_Vd231(X365, X363)) 0.51/0.75 | X363 = X365 0.51/0.75 | ~ rpoint(X365) 0.51/0.75 | ~ rpoint(X363)), 0.51/0.75 inference('simplify', [status(thm)], ['15'])). 0.51/0.75 tff('17', plain, 0.51/0.75 ![X363, X364, X365, X366]: 0.51/0.75 (~ rpoint(X363) 0.51/0.75 | X364 != X363 0.51/0.75 | ~ rpoint(X365) 0.51/0.75 | X366 != X365 0.51/0.75 | X364 = X366 0.51/0.75 | rcenter(X364, sk_Vd231(X366, X364))), 0.51/0.75 inference('cnf', [status(esa)], 0.51/0.75 [qu(cond(axiom(53), 0), imp(cond(axiom(53), 0)))])). 0.51/0.75 tff('18', plain, 0.51/0.75 ![X363, X365]: 0.51/0.75 ( rcenter(X363, sk_Vd231(X365, X363)) 0.51/0.75 | X363 = X365 0.51/0.75 | ~ rpoint(X365) 0.51/0.75 | ~ rpoint(X363)), 0.51/0.75 inference('simplify', [status(thm)], ['17'])). 0.51/0.75 tff('19', plain, 0.51/0.75 (![X71]: (~ rcenter(vd1123, X71) | ~ rcircle(X71) | ~ ron(vd1127, X71))) 0.51/0.75 <= ((![X71]: 0.51/0.75 (~ rcenter(vd1123, X71) | ~ rcircle(X71) | ~ ron(vd1127, X71)))), 0.51/0.75 inference('split', [status(esa)], ['6'])). 0.51/0.75 tff('20', plain, vd1130 = vd1123, 0.51/0.75 inference('demod', [status(thm)], ['9', '10'])). 0.51/0.75 tff('21', plain, vd1127 = vd1128, 0.51/0.75 inference('cnf', [status(esa)], 0.51/0.75 [and(and(and(and(holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1133, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1132, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(242))))), 1131, 0), and(pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 2), pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 1))))), and(pred(conjunct1(conjunct2(conjunct2(242))), 2), pred(conjunct1(conjunct2(conjunct2(242))), 1))), and(pred(conjunct1(conjunct2(242)), 2), pred(conjunct1(conjunct2(242)), 1))), and(pred(conjunct1(242), 2), pred(conjunct1(242), 1)))])). 0.51/0.75 tff('22', plain, 0.51/0.75 (![X71]: (~ rcenter(vd1130, X71) | ~ rcircle(X71) | ~ ron(vd1128, X71))) 0.51/0.75 <= ((![X71]: 0.51/0.75 (~ rcenter(vd1123, X71) | ~ rcircle(X71) | ~ ron(vd1127, X71)))), 0.51/0.75 inference('demod', [status(thm)], ['19', '20', '21'])). 0.51/0.75 tff('23', plain, 0.51/0.75 (![X0]: 0.51/0.75 (~ rpoint(vd1130) 0.51/0.75 | ~ rpoint(X0) 0.51/0.75 | vd1130 = X0 0.51/0.75 | ~ ron(vd1128, sk_Vd231(X0, vd1130)) 0.51/0.75 | ~ rcircle(sk_Vd231(X0, vd1130)))) 0.51/0.75 <= ((![X71]: 0.51/0.75 (~ rcenter(vd1123, X71) | ~ rcircle(X71) | ~ ron(vd1127, X71)))), 0.51/0.75 inference('sup-', [status(thm)], ['18', '22'])). 0.51/0.75 tff('24', plain, rpoint(vd1124), 0.51/0.75 inference('cnf', [status(esa)], 0.51/0.75 [and(and(and(and(holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1133, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1132, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(242))))), 1131, 0), and(pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 2), pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 1))))), and(pred(conjunct1(conjunct2(conjunct2(242))), 2), pred(conjunct1(conjunct2(conjunct2(242))), 1))), and(pred(conjunct1(conjunct2(242)), 2), pred(conjunct1(conjunct2(242)), 1))), and(pred(conjunct1(242), 2), pred(conjunct1(242), 1)))])). 0.51/0.75 tff('25', plain, vd1130 = vd1123, 0.51/0.75 inference('demod', [status(thm)], ['9', '10'])). 0.51/0.75 tff('26', plain, vd1123 = vd1124, 0.51/0.75 inference('cnf', [status(esa)], 0.51/0.75 [and(and(and(and(holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1133, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1132, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(242))))), 1131, 0), and(pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 2), pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 1))))), and(pred(conjunct1(conjunct2(conjunct2(242))), 2), pred(conjunct1(conjunct2(conjunct2(242))), 1))), and(pred(conjunct1(conjunct2(242)), 2), pred(conjunct1(conjunct2(242)), 1))), and(pred(conjunct1(242), 2), pred(conjunct1(242), 1)))])). 0.51/0.75 tff('27', plain, vd1130 = vd1124, 0.51/0.75 inference('sup+', [status(thm)], ['25', '26'])). 0.51/0.75 tff('28', plain, rpoint(vd1130), 0.51/0.75 inference('demod', [status(thm)], ['24', '27'])). 0.51/0.75 tff('29', plain, 0.51/0.75 (![X0]: 0.51/0.75 (~ rpoint(X0) 0.51/0.75 | vd1130 = X0 0.51/0.75 | ~ ron(vd1128, sk_Vd231(X0, vd1130)) 0.51/0.75 | ~ rcircle(sk_Vd231(X0, vd1130)))) 0.51/0.75 <= ((![X71]: 0.51/0.75 (~ rcenter(vd1123, X71) | ~ rcircle(X71) | ~ ron(vd1127, X71)))), 0.51/0.75 inference('demod', [status(thm)], ['23', '28'])). 0.51/0.75 tff('30', plain, 0.51/0.75 ((~ rpoint(vd1130) 0.51/0.75 | ~ rpoint(vd1128) 0.51/0.75 | vd1130 = vd1128 0.51/0.75 | ~ rcircle(sk_Vd231(vd1128, vd1130)) 0.51/0.75 | vd1130 = vd1128 0.51/0.75 | ~ rpoint(vd1128))) 0.51/0.75 <= ((![X71]: 0.51/0.75 (~ rcenter(vd1123, X71) | ~ rcircle(X71) | ~ ron(vd1127, X71)))), 0.51/0.75 inference('sup-', [status(thm)], ['16', '29'])). 0.51/0.75 tff('31', plain, rpoint(vd1130), 0.51/0.75 inference('demod', [status(thm)], ['24', '27'])). 0.51/0.75 tff('32', plain, rpoint(vd1128), 0.51/0.75 inference('cnf', [status(esa)], 0.51/0.75 [and(and(and(and(holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1133, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1132, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(242))))), 1131, 0), and(pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 2), pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 1))))), and(pred(conjunct1(conjunct2(conjunct2(242))), 2), pred(conjunct1(conjunct2(conjunct2(242))), 1))), and(pred(conjunct1(conjunct2(242)), 2), pred(conjunct1(conjunct2(242)), 1))), and(pred(conjunct1(242), 2), pred(conjunct1(242), 1)))])). 0.51/0.75 tff('33', plain, rpoint(vd1128), 0.51/0.75 inference('cnf', [status(esa)], 0.51/0.75 [and(and(and(and(holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1133, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1132, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(242))))), 1131, 0), and(pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 2), pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 1))))), and(pred(conjunct1(conjunct2(conjunct2(242))), 2), pred(conjunct1(conjunct2(conjunct2(242))), 1))), and(pred(conjunct1(conjunct2(242)), 2), pred(conjunct1(conjunct2(242)), 1))), and(pred(conjunct1(242), 2), pred(conjunct1(242), 1)))])). 0.51/0.75 tff('34', plain, 0.51/0.75 ((vd1130 = vd1128 | ~ rcircle(sk_Vd231(vd1128, vd1130)) | vd1130 = vd1128)) 0.51/0.75 <= ((![X71]: 0.51/0.75 (~ rcenter(vd1123, X71) | ~ rcircle(X71) | ~ ron(vd1127, X71)))), 0.51/0.75 inference('demod', [status(thm)], ['30', '31', '32', '33'])). 0.51/0.75 tff('35', plain, 0.51/0.75 ((~ rcircle(sk_Vd231(vd1128, vd1130)) | vd1130 = vd1128)) 0.51/0.75 <= ((![X71]: 0.51/0.75 (~ rcenter(vd1123, X71) | ~ rcircle(X71) | ~ ron(vd1127, X71)))), 0.51/0.75 inference('simplify', [status(thm)], ['34'])). 0.51/0.75 tff('36', plain, vd1127 != vd1129, 0.51/0.75 inference('cnf', [status(esa)], 0.51/0.75 [and(and(and(and(holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1133, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1132, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(242))))), 1131, 0), and(pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 2), pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 1))))), and(pred(conjunct1(conjunct2(conjunct2(242))), 2), pred(conjunct1(conjunct2(conjunct2(242))), 1))), and(pred(conjunct1(conjunct2(242)), 2), pred(conjunct1(conjunct2(242)), 1))), and(pred(conjunct1(242), 2), pred(conjunct1(242), 1)))])). 0.51/0.75 tff('37', plain, vd1127 = vd1128, 0.51/0.75 inference('cnf', [status(esa)], 0.51/0.75 [and(and(and(and(holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1133, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1132, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(242))))), 1131, 0), and(pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 2), pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 1))))), and(pred(conjunct1(conjunct2(conjunct2(242))), 2), pred(conjunct1(conjunct2(conjunct2(242))), 1))), and(pred(conjunct1(conjunct2(242)), 2), pred(conjunct1(conjunct2(242)), 1))), and(pred(conjunct1(242), 2), pred(conjunct1(242), 1)))])). 0.51/0.75 tff('38', plain, vd1128 != vd1129, 0.51/0.75 inference('demod', [status(thm)], ['36', '37'])). 0.51/0.75 tff('39', plain, vd1130 = vd1129, 0.51/0.75 inference('cnf', [status(esa)], 0.51/0.75 [and(and(and(and(holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1133, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1132, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(242))))), 1131, 0), and(pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 2), pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 1))))), and(pred(conjunct1(conjunct2(conjunct2(242))), 2), pred(conjunct1(conjunct2(conjunct2(242))), 1))), and(pred(conjunct1(conjunct2(242)), 2), pred(conjunct1(conjunct2(242)), 1))), and(pred(conjunct1(242), 2), pred(conjunct1(242), 1)))])). 0.51/0.75 tff('40', plain, vd1128 != vd1130, 0.51/0.75 inference('demod', [status(thm)], ['38', '39'])). 0.51/0.75 tff('41', plain, 0.51/0.75 (~ rcircle(sk_Vd231(vd1128, vd1130))) 0.51/0.75 <= ((![X71]: 0.51/0.75 (~ rcenter(vd1123, X71) | ~ rcircle(X71) | ~ ron(vd1127, X71)))), 0.51/0.75 inference('simplify_reflect-', [status(thm)], ['35', '40'])). 0.51/0.75 tff('42', plain, 0.51/0.75 ((~ rpoint(vd1130) | ~ rpoint(vd1128) | vd1130 = vd1128)) 0.51/0.75 <= ((![X71]: 0.51/0.75 (~ rcenter(vd1123, X71) | ~ rcircle(X71) | ~ ron(vd1127, X71)))), 0.51/0.75 inference('sup-', [status(thm)], ['14', '41'])). 0.51/0.75 tff('43', plain, rpoint(vd1130), 0.51/0.75 inference('demod', [status(thm)], ['24', '27'])). 0.51/0.75 tff('44', plain, rpoint(vd1128), 0.51/0.75 inference('cnf', [status(esa)], 0.51/0.75 [and(and(and(and(holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1133, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1132, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(242))))), 1131, 0), and(pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 2), pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 1))))), and(pred(conjunct1(conjunct2(conjunct2(242))), 2), pred(conjunct1(conjunct2(conjunct2(242))), 1))), and(pred(conjunct1(conjunct2(242)), 2), pred(conjunct1(conjunct2(242)), 1))), and(pred(conjunct1(242), 2), pred(conjunct1(242), 1)))])). 0.51/0.75 tff('45', plain, 0.51/0.75 (vd1130 = vd1128) 0.51/0.75 <= ((![X71]: 0.51/0.75 (~ rcenter(vd1123, X71) | ~ rcircle(X71) | ~ ron(vd1127, X71)))), 0.51/0.75 inference('demod', [status(thm)], ['42', '43', '44'])). 0.51/0.75 tff('46', plain, vd1128 != vd1130, 0.51/0.75 inference('demod', [status(thm)], ['38', '39'])). 0.51/0.75 tff('47', plain, 0.51/0.75 ~ 0.51/0.75 (![X71]: (~ rcenter(vd1123, X71) | ~ rcircle(X71) | ~ ron(vd1127, X71))), 0.51/0.75 inference('simplify_reflect-', [status(thm)], ['45', '46'])). 0.51/0.75 tff('48', plain, 0.51/0.75 (![X70]: (~ ron(vd1125, X70) | ~ ron(vd1123, X70) | ~ rline(X70))) | 0.51/0.75 (![X71]: (~ rcenter(vd1123, X71) | ~ rcircle(X71) | ~ ron(vd1127, X71))), 0.51/0.75 inference('split', [status(esa)], ['6'])). 0.51/0.75 tff('49', plain, 0.51/0.75 (![X70]: (~ ron(vd1125, X70) | ~ ron(vd1123, X70) | ~ rline(X70))), 0.51/0.75 inference('sat_resolution*', [status(thm)], ['47', '48'])). 0.51/0.75 tff('50', plain, 0.51/0.75 ![X70]: (~ ron(vd1126, X70) | ~ ron(vd1130, X70) | ~ rline(X70)), 0.51/0.75 inference('simpl_trail', [status(thm)], ['12', '49'])). 0.51/0.75 tff('51', plain, 0.51/0.75 ![X0]: 0.51/0.75 (~ rpoint(vd1126) 0.51/0.75 | X0 = vd1126 0.51/0.75 | ~ rpoint(X0) 0.51/0.75 | ~ rline(sk_Vd223(X0, vd1126)) 0.51/0.75 | ~ ron(vd1130, sk_Vd223(X0, vd1126))), 0.51/0.75 inference('sup-', [status(thm)], ['5', '50'])). 0.51/0.75 tff('52', plain, rpoint(vd1126), 0.51/0.75 inference('cnf', [status(esa)], 0.51/0.75 [and(and(and(and(holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1133, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1132, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(242))))), 1131, 0), and(pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 2), pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 1))))), and(pred(conjunct1(conjunct2(conjunct2(242))), 2), pred(conjunct1(conjunct2(conjunct2(242))), 1))), and(pred(conjunct1(conjunct2(242)), 2), pred(conjunct1(conjunct2(242)), 1))), and(pred(conjunct1(242), 2), pred(conjunct1(242), 1)))])). 0.51/0.75 tff('53', plain, 0.51/0.75 ![X0]: 0.51/0.75 (X0 = vd1126 0.51/0.75 | ~ rpoint(X0) 0.51/0.75 | ~ rline(sk_Vd223(X0, vd1126)) 0.51/0.75 | ~ ron(vd1130, sk_Vd223(X0, vd1126))), 0.51/0.75 inference('demod', [status(thm)], ['51', '52'])). 0.51/0.75 tff('54', plain, 0.51/0.75 (~ rpoint(vd1126) 0.51/0.75 | vd1130 = vd1126 0.51/0.75 | ~ rpoint(vd1130) 0.51/0.75 | ~ rline(sk_Vd223(vd1130, vd1126)) 0.51/0.75 | ~ rpoint(vd1130) 0.51/0.75 | vd1130 = vd1126), 0.51/0.75 inference('sup-', [status(thm)], ['3', '53'])). 0.51/0.75 tff('55', plain, rpoint(vd1126), 0.51/0.75 inference('cnf', [status(esa)], 0.51/0.75 [and(and(and(and(holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1133, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1132, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(242))))), 1131, 0), and(pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 2), pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 1))))), and(pred(conjunct1(conjunct2(conjunct2(242))), 2), pred(conjunct1(conjunct2(conjunct2(242))), 1))), and(pred(conjunct1(conjunct2(242)), 2), pred(conjunct1(conjunct2(242)), 1))), and(pred(conjunct1(242), 2), pred(conjunct1(242), 1)))])). 0.51/0.75 tff('56', plain, rpoint(vd1130), 0.51/0.75 inference('demod', [status(thm)], ['24', '27'])). 0.51/0.75 tff('57', plain, rpoint(vd1130), 0.51/0.75 inference('demod', [status(thm)], ['24', '27'])). 0.51/0.75 tff('58', plain, 0.51/0.75 (vd1130 = vd1126 | ~ rline(sk_Vd223(vd1130, vd1126)) | vd1130 = vd1126), 0.51/0.75 inference('demod', [status(thm)], ['54', '55', '56', '57'])). 0.51/0.75 tff('59', plain, (~ rline(sk_Vd223(vd1130, vd1126)) | vd1130 = vd1126), 0.51/0.75 inference('simplify', [status(thm)], ['58'])). 0.51/0.75 tff('60', plain, vd1123 != vd1125, 0.51/0.75 inference('cnf', [status(esa)], 0.51/0.75 [and(and(and(and(holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1133, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1132, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(242))))), 1131, 0), and(pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 2), pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 1))))), and(pred(conjunct1(conjunct2(conjunct2(242))), 2), pred(conjunct1(conjunct2(conjunct2(242))), 1))), and(pred(conjunct1(conjunct2(242)), 2), pred(conjunct1(conjunct2(242)), 1))), and(pred(conjunct1(242), 2), pred(conjunct1(242), 1)))])). 0.51/0.75 tff('61', plain, vd1125 = vd1126, 0.51/0.75 inference('cnf', [status(esa)], 0.51/0.75 [and(and(and(and(holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1133, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1132, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(242))))), 1131, 0), and(pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 2), pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 1))))), and(pred(conjunct1(conjunct2(conjunct2(242))), 2), pred(conjunct1(conjunct2(conjunct2(242))), 1))), and(pred(conjunct1(conjunct2(242)), 2), pred(conjunct1(conjunct2(242)), 1))), and(pred(conjunct1(242), 2), pred(conjunct1(242), 1)))])). 0.51/0.75 tff('62', plain, vd1123 != vd1126, 0.51/0.75 inference('demod', [status(thm)], ['60', '61'])). 0.51/0.75 tff('63', plain, vd1130 = vd1123, 0.51/0.75 inference('demod', [status(thm)], ['9', '10'])). 0.51/0.75 tff('64', plain, vd1130 != vd1126, 0.51/0.75 inference('demod', [status(thm)], ['62', '63'])). 0.51/0.75 tff('65', plain, ~ rline(sk_Vd223(vd1130, vd1126)), 0.51/0.75 inference('simplify_reflect-', [status(thm)], ['59', '64'])). 0.51/0.75 tff('66', plain, (~ rpoint(vd1126) | vd1130 = vd1126 | ~ rpoint(vd1130)), 0.51/0.75 inference('sup-', [status(thm)], ['1', '65'])). 0.51/0.75 tff('67', plain, rpoint(vd1126), 0.51/0.75 inference('cnf', [status(esa)], 0.51/0.75 [and(and(and(and(holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1133, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1132, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(242))))), 1131, 0), and(pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 2), pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 1))))), and(pred(conjunct1(conjunct2(conjunct2(242))), 2), pred(conjunct1(conjunct2(conjunct2(242))), 1))), and(pred(conjunct1(conjunct2(242)), 2), pred(conjunct1(conjunct2(242)), 1))), and(pred(conjunct1(242), 2), pred(conjunct1(242), 1)))])). 0.51/0.75 tff('68', plain, rpoint(vd1130), 0.51/0.75 inference('demod', [status(thm)], ['24', '27'])). 0.51/0.75 tff('69', plain, vd1130 = vd1126, 0.51/0.75 inference('demod', [status(thm)], ['66', '67', '68'])). 0.51/0.75 tff('70', plain, vd1130 != vd1126, 0.51/0.75 inference('demod', [status(thm)], ['62', '63'])). 0.51/0.75 tff('71', plain, $false, 0.51/0.75 inference('simplify_reflect-', [status(thm)], ['69', '70'])). 0.51/0.75 0.51/0.75 % SZS output end Refutation 0.51/0.75 0.51/0.76 % Zipperpin 1.5 exiting 0.51/0.76 EOF